If a sum of two real numbers is less than 50, then at least one of the number is less than 25.
Prove by contraposition.
Answers
Answer:
So basically you will switch the predicate and proposition (p implies q) and we will negate it so not q implies not p. So we will say that both x and y should be 25 or greater and that the sum will be 50 or greater. Below you will find the steps. I just took this course and got a 96% so i think u should get near to full points on something along the lines of this answer. The only thing u may have to change is that we should probably use k and j for x and y but off the top of my head i cannot recall exactly how to word that. Then prove using k and j but the logic is exactly the same. Its just how proofs work. Substitute in a variables for variables ..
Step-by-step explanation:
Proof by contraposition : Let x and y be real numbers. Assume x is a real number greater than or equal to 25 and y is greater than or equal to 25 and the sum of x and y is greater than or equal to 50. We can then take the minimum 25 and 25 and the sum of this gives 50. This satisfies our minimum requirement of 50 since any other number combination will be above 50 we have proven by contraposition that for the sum of two real numbers x and y one number must be less than 25 to be create a sum less than 50
Related Questions
what is y equals 1/4 x - 8
Answers
Answer:
The equation of the line in standard form is
Step-by-step explanation:
The equation of the line in point slope form is
we have
so
step 2
Find the equation of the line in standard form
The equation of the line in standard form is
where
A is positive integer
B and C are integers
we have
Multiply by 4 both sides to remove the fraction
Step-by-step explanation:
What is the total amount of glass used to make the 5 faces of the aquarium? Please help my teacher of math is going to be mad with me All this is from Middle School
Answers
Therefore, the total amount of glass used to make the five visible faces of the aquarium is:
600 + 360 + 240 = 1200 square inches.
What is a rectangle made of?2-D enclosed shapes with four sides, four corners, and four right angles are called rectangles. A rectangle has two equal and parallel opposite sides. A rectangle is a two-dimensional shape with length and width as its dimensions.
The aquarium has six faces, but since one of the faces will be the bottom of the aquarium and won't be visible, we only need to find the total amount of glass used to make the remaining five faces.
The aquarium has two identical faces, which are the front and back faces. Each of these faces has dimensions of 20 inches by 15 inches. So the total area of these two faces is:
2 x (20 x 15) = 600 square inches
The aquarium also has two identical faces, which are the left and right faces. Each of these faces has dimensions of 12 inches by 15 inches. So the total area of these two faces is:
2 x (12 x 15) = 360 square inches
Finally, the aquarium has one top face, which has dimensions of 20 inches by 12 inches. So the area of this face is:
20 x 12 = 240 square inches
Therefore, the total amount of glass used to make the five visible faces of the aquarium is:
600 + 360 + 240 = 1200 square inches.
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The tοtal amοunt οf glass used tο make the 5 faces οf the aquarium is 1,200 in².
What is the vοlume?Vοlume refers tο the amοunt οf space οccupied by a three-dimensiοnal οbject. It is usually measured in cubic units, such as cubic centimeters, cubic meters, οr cubic inches. The fοrmula fοr finding the vοlume οf a sοlid depends οn its shape.
The aquarium has 6 faces, but since οne face is οn the bοttοm and isn't visible, we οnly need tο find the area οf 5 faces.
The twο end faces are rectangles with dimensiοns 15 inches by 12 inches, sο each has an area οf 15 x 12 = 180 square inches.
The frοnt and back faces are rectangles with dimensiοns 15 inches by 20 inches, sο each has an area οf 15 x 20 = 300 square inches.
The tοp face is a rectangle with dimensiοns 20 inches by 12 inches, sο it has an area οf 20 x 12 = 240 square inches.
The tοtal area οf the 5 visible faces is the sum οf these areas: 180 + 180 + 300 + 300 + 240 = 1200 square inches.
Therefοre, the tοtal amοunt οf glass used tο make the 5 faces οf the aquarium is 1,200 in².
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From the following expressions: 2n + 2; n + n + 1; 2(n + 1); 2(n + 2) Which are equivalent?2n + 2 y n + n + 1B) 2n + 2 y 2(n + 1)C) 2n + 2 y 2(n + 2)D) n + n + 1 y 2(n + 1)
Answers
The expressions that are equivalent are 2n + 2 and 2(n + 1) (option A), and n + n + 1 and 2(n + 1) (option D)
To determine which expressions are equivalent, we can simplify each expression and compare them. Let's go through each option:
A) 2n + 2 and 2(n + 1):
Expanding the second expression gives us 2n + 2, which is the same as the first expression. Therefore, option A is equivalent.
B) 2n + 2 and n + n + 1:
Simplifying the second expression gives us 2n + 1, which is not the same as the first expression. Therefore, option B is not equivalent.
C) 2n + 2 and 2(n + 2):
Expanding the second expression gives us 2n + 4, which is not the same as the first expression. Therefore, option C is not equivalent.
D) n + n + 1 and 2(n + 1):
Simplifying the second expression gives us 2n + 2, which is the same as the first expression. Therefore, option D is equivalent.
In conclusion, the expressions that are equivalent are 2n + 2 and 2(n + 1) (option A), and n + n + 1 and 2(n + 1) (option D).
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: Prove that a) X'Y' + X'Y +XY = X' +Y b) A'BC' + ABC' + BC'D = BC' Find the complement of the following function a) WX(Y'Z+YZ') + W'X'(Y' +Z)(Y+Z') b) (A+B'+C') (A'B' +C)(A + B'C') Find Dual of question 2 (a, b),
Answers
a) X'Y' + X'Y + XY simplifies to X' + Y.
b) A'BC' + ABC' + BC'D simplifies to BC'.
Complement of the functions:
a) Complement is W' + X' + YZ.
b) Complement is (A' + B + C)(A'B' + C' + A'B).
a) To prove X'Y' + X'Y + XY = X' + Y, we can use Boolean algebra identities:
X'Y' + X'Y + XY
= Y'(X' + X) + XY(Distributive Law)
= Y' + XY(X + X' = 1)
= X' + Y(Commutative Law)
Therefore, X'Y' + X'Y + XY simplifies to X' + Y.
b) To prove A'BC' + ABC' + BC'D = BC', we can simplify the expression using Boolean algebra:
A'BC' + ABC' + BC'D
= BC'(A' + A) + BC'D (Distributive Law)
= BC' + BC'D(A + A' = 1)
= BC'(BC' + BC'D = BC' + BC'(1) = BC')
Hence, A'BC' + ABC' + BC'D simplifies to BC'.
Complement of the given functions:
a) The complement of WX(Y'Z + YZ') + W'X'(Y' + Z)(Y + Z') is W' + X' + YZ.
b) The complement of (A + B' + C')(A'B' + C)(A + B'C') is (A' + B + C)(A'B' + C' + A'B).
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pls help me with this:((((
Answers
y
=
m
x
+
b
y
=
m
x
+
b
, where
m
m
is the slope and
b
b
is the y-intercept.
y
=
m
x
+
b
y
=
m
x
+
b
Find the values of
m
m
and
b
b
using the form
y
=
m
x
+
b
y
=
m
x
+
b
.
m
=
3
m
=
3
b
=
−
12
b
=
-
12
The slope of the line is the value of
m
m
, and the y-intercept is the value of
b
b
.
Slope:
3
3
y-intercept:
(
0
,
−
12
)
PLEASE ANSWER THIS QUESTION!! 30 POINTS AND BRAINLIEST !!
Answers
Answer:
a
Step-by-step explanation:
there are 24 half inches in 1 foot. As there is 100 papers per half inch, there is 24*100=2400 papers in all
Answer:
a) 2,400 pieces
Step-by-step explanation:
Firstly, remember that there 2 half inches in an inch. If 100 pieces of sheet music are 0.5 inches tall, then 200 pieces are 1 inch tall.
Next, remember that in every foot there are 12 inches. We can multiply the number of pages of sheet music that is 1 inch tall to find how many would be 1 ft tall.
200 * 12
= 2,400 pieces
Hope this helps! Please feel free to send any questions my way :)
Which investment account can be used to save for post-secondary education? traditional IRA, 403(b), flexible spending account (fsa), 529 plan, or 401(k)
Answers
Answer:
529 plan
Step-by-step explanation:
The 529 plan investment account is a type of account used to save for future education purposes and are sponsored by educational institutions and the state. They are of two types, The prepaid tuition plan and the education saving plan. The prepaid tuition plan is used to pay for future tuition fee at present rates while the education saving plan are used to pay for qualified education expenses
Answer:
529 plan
Step-by-step explanation:
A 529 college savings plan works much like a Roth 401(k) or Roth IRAby investing your after-tax contributions in mutual funds, ETFs and other similar investments. Your investment grows on a tax-deferred basis and can be withdrawn tax-free if the money is used to pay for qualified higher education expenses.
we draw a random sample of size 36 from the normal population with variance 2.1. if the sample mean is 20.5, what is a 95% confidence interval for the population mean?
Answers
The 95% confidence interval for the population mean is approximately [20.03, 20.97].
What is confidence interval?The percentage (frequency) of acceptable confidence intervals that include the actual value of the unknown parameter is represented by the confidence level.
To calculate the 95% confidence interval for the population mean based on a sample of size 36 with a known variance of 2.1 and a sample mean of 20.5, we can use the formula for a confidence interval for a population mean:
CI = \(\bar X\) ± z * (σ / √n),
where:
CI is the confidence interval,
\(\bar X\) is the sample mean,
z is the z-score corresponding to the desired level of confidence (in this case, 95% confidence),
σ is the population standard deviation,
n is the sample size.
Since we have the population variance (2.1), we can calculate the population standard deviation as σ = √2.1 ≈ 1.45.
Now, let's calculate the confidence interval:
CI = 20.5 ± z * (1.45 / √36).
The z-score corresponding to a 95% confidence level is approximately 1.96 (you can look this up in a standard normal distribution table or use a statistical software).
Substituting the values:
CI = 20.5 ± 1.96 * (1.45 / √36).
Calculating the values within the confidence interval:
CI = 20.5 ± 1.96 * 0.2417.
CI = 20.5 ± 0.4741.
Finally, we can calculate the lower and upper bounds of the confidence interval:
Lower bound = 20.5 - 0.4741 ≈ 20.03.
Upper bound = 20.5 + 0.4741 ≈ 20.97.
Therefore, the 95% confidence interval for the population mean is approximately [20.03, 20.97].
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i choose a random integer n between $1 and $10 inclusive what is the probability that for the n i chose there exist no real solutions to the equation x x 5 n express your answer as a common fraction
Answers
The probability that for a randomly chosen integer n between 1 and 10 inclusive there exist no real solutions to the equation x^2 + 5 = n is 3/10.
we can first find the values of n for which there are real solutions to the equation x^2 + 5 = n. We can do this by rearranging the equation to get x^2 = n - 5 and then seeing that there are real solutions only if n - 5 is non-negative, i.e. n >= 5.
Since we are choosing a random integer between 1 and 10 inclusive, there are 10 possible values for n. Out of these, only 5, 6, 7, 8, 9, and 10 are greater than or equal to 5, which means that there are real solutions to the equation for these values of n. Therefore, there are only 6 possible values of n for which there exist no real solutions to the equation.
Therefore, the probability of choosing one of these 6 values of n is 6/10, which simplifies to 3/5. However, we need to find the probability of choosing one of the values of n for which there exist no real solutions to the equation, which is the complement of the probability of choosing one of the values of n for which there are real solutions. This complement is 1 - 6/10, which simplifies to 2/5.
Therefore, the main answer to the question is that the probability that for a randomly chosen integer n between 1 and 10 inclusive there exist no real solutions to the equation x^2 + 5 = n is 2/5.
The probability that for a randomly chosen integer n between 1 and 10 inclusive there exist no real solutions to the equation x^2 + 5 = n is 2/5. This can be found by first determining the values of n for which there are real solutions to the equation, and then finding the complement of this probability.
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A plant currently measures 5.5 inches tall and will grow at a rate of 1 inch per week. Andrew wants to graph this information for his Science Fair project. If x represents the number of weeks and y represents the height of the plant, which choice below correctly describes the y-intercept in this relationship?
(5.5, 0)
(0,1)
(0, 5.5)
(1, 5.5)
Answers
Answer:
0, 5.5
Step-by-step explanation:
when they ask for a y-intercept, x is always zero, so now we eliminate two of the answers, and we will only have (0, 1) or (0, 5.5). At the beginning of the question it said a plant is currently at 5.5, so it started as 5.5 (0, 5.5)
so THE ANSWER IS (0, 5.5)
PLZ MARK ME AS BRAINLIEST.
What i the equation of a line that i parallel to the line y =2x 7 and pae through the point -2,4
Answers
The equation of a line y=2x+8.
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in the value of y on the vertical axis/change in the value of x on the horizontal axis
Looking at the given line,
y = 2x + 7
Compared with the slope-intercept equation,
Slope, m = 2
If a line is parallel to another line, it means that both lines have equal or the same slope. This means that the slope of the line passing through the point (-2, 4) is 2
Substituting m= 2, y = 4 and x = -2 into the equation, y = mx + c , it becomes
4 = 2 × - 2 + c
4 = - 4 + c
c = 4 + 4 = 8
The equation becomes y=2x+8.
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Length of DE is ___
units.
Length of DB is ___
units.
Measure of angle FED is ___
degrees.
Answers
Answer:
Length of DE = 7.5 units
Length of DB = 9.2 units
Measure of ∠FED = 82°
Step-by-step explanation:
In ΔABC,
AD ≅ BD and CE ≅ BE [Given]
By the theorem of mid-segments,
DE = \(\frac{1}{2}(AC)\)
= \(\frac{1}{2}(15)\)
DE = 7.5 units
Since AD ≅ FE ≅ 9.2 [By midpoint theorem in ΔACB]
Therefore, length of DB = 9.2 units
[Although it's not given in the question, but we assume FE║AB]
Since FE║AB and DE is a transverse,
Therefore, m(∠FED) ≅ m(∠BDE) ≅ 82° [Interior alternate angles]
Which function h(x) results when g(x) is translated startfraction 7 pi over 8 endfraction units right and 1 unit down? h (x) = 2 cosine (x minus startfraction 3 pi over 8 endfraction) minus 1 h (x) = 2 cosine (x minus startfraction 3 pi over 8 endfraction) minus 3 h (x) = 2 cosine (x startfraction 11 pi over 8 endfraction) minus 1 h (x) = 2 cosine (x startfraction 11 pi over 8 endfraction) minus 3
Answers
The required function h(x) is h (x) = 2 cosine (x + StartFraction 11 pi Over 8 EndFraction) minus 3. Option d is correct.
Function g(x) = 2cos (x + π/2) - 2
What are trigonometric equations?
Equation which includes trigonometric operators eg sin, cos.. etc.. In algebraic processes.
Here, the phase of the curve is increase by 7π/8.
So the phase = π/2 + 7π/8
= 11 π/8
And Shift of curve along y axis is by -1.
So, the total shift = -2-1
= -3
⇒ h(x) = 2cos (x + 11π/8) - 3
Thus, the function h(x) results when g(x) is translated.h (x) = 2 cosine (x + StartFraction 11 pi Over 8 EndFraction) minus
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helppppppppppppppppppppppppppppppp
Answers
Step-by-step explanation:
wjjdjrjdjdjdudidjdkdk pick the C
Answer:
D,
Step-by-step explanation:
Step 1: 47-12=27, 27+(-27)=0
step 2: 27/2=13.5, 2c/2=c
step 3, change 13.5 to fraction which is 13 1/2
(hope it's helpful :)
Abcd is rotated counterclockwise about the origin.By how many degrees was abcd rotated?
Answers
Answer:
The rotation is 270 degrees counterclockwise
Step-by-step explanation:
Given
See attachment
Required
Degrees of rotation
From the question, the rotation is counterclockwise
Using point B and B' as points of reference.
\(B =(2,5)\)
\(B' =(5,-2)\)
The rule that supports the above is: rotation by 270 degrees counterclockwise.
Because the rule is:
\((x,y) ==>(y,-x)\)
A survey of 150 people at a local high school about playing video games was conducted, and the results are posted in the table. Play video games do not play video games juniors 48 12 seniors 45 25 teachers 6 14 what is the probability of choosing a person at random who is a junior and plays video games? are these independent events?.
Answers
The probability of choosing a person at random who is a junior and plays video games is of:
0.32 = 32%.
These are non-independent events.
How to obtain the probability?A probability in the context of a problem is given by the division of the number of desired outcomes by the number of total outcomes.
For the probability in the context of this problem, the outcomes are given as follows:
Desired: 48 juniors who play videogames.Total outcomes: 150 students.Hence the probability is of:
p = 48/150 = 0.32 = 32%.
The probability of being a junior is of:
60/150 = 6/15.
The probability of playing videogames is of:
99/150
The multiplication of these probabilities is of:
6/15 x 99/150 = 0.264.
Different than 0.32, hence these two events are not independent.
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Which are solutions of 1 < 3x – 2 < 13?
Answers
Answer:
0.076 or 4.409 try both its one of those two
Step-by-step explanation:
f(x)=log5x what Is the range of the function
Answers
The range of the function f(x) = log5x is (-∞, +∞).The function f(x) = log5x represents the logarithm base 5 of x. To determine the range of this function, we need to consider the possible values that the logarithm can take.
The range of the logarithm function y = log5x consists of all real numbers. The logarithm function is defined for positive real numbers, and as x approaches 0 from the positive side, the logarithm approaches negative infinity. As x increases, the logarithm function approaches positive infinity.
The range of the function is the set of all possible output values. In this case, the range consists of all real numbers that can be obtained by evaluating the logarithm
log5(�)log 5 (x) for �>0 x>0.
Since the base of the logarithm is 5, the function log5x will take on all real values from negative infinity to positive infinity. Therefore, the range of the function f(x) = log5x is (-∞, +∞).
In other words, the function can output any real number, ranging from negative infinity to positive infinity. It does not have any restrictions on the possible values of its output.
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Answer: All real numbers
Step-by-step explanation:
Edge
Julie‘s mom paid 2.70$ for 5 pounds of bananas. Mario's mom paid 2.60$ for 4 pounds of bananas. Write a division equation for each banana purchase, and then decide which store had the better banana price.
Answers
Answer:
The store Julie's mom goes to has a better price.
Step-by-step explanation:
You would take the price and divide it by the number of pounds. $/lbs
Julies mom: 2.70/5 = 54 cents per lbs
Mario's mom: 2.60/4 = 65 cents per lbs
Answer:
The store Julie's mom goes to has a better price.
Step-by-step explanation:
A student club has 60 members. They want to elect two officers who will serve as the president and the vice president of the club. The club bylaws dictate that the selections be done without replacement and that the first person selected would serve as the president and the second person selected would serve as the vice president. Calculate how many different ways the selections can be made if: a) There is no restriction on who is elected and whoever is elected will accept to serve. (2 Points) b) Two members, say A and B, will accept to serve only if they are elected to serve together. (3 Points)
Answers
Answer:
3540
2
Step-by-step explanation:
Total number of members = 60
Number of members to be elected = 2
Since the order of selection matters as the first is president and second is vice president ;
Using the permutation formula :
nPr = n! ÷ (n-r)!
60P2 = 60! ÷ (60 - 2)!
60P2 = 60! ÷ 58!
60P2 = 3540
B.) 2 members A and B will accept to serve only if they are selected to serve together ;
Since only 2 members (president and vice president) are to be chosen ; Hence, only the tow of them (A and B) will be chosen, to do this ;
2P2 = 2! /(2 - 2)! = 2! / 0! = (2*1)/1 = 2
Which statements are true? SELECT ALL THAT APPLY
Answers
Answer:
C
Step-by-step explanation:
AC & BC are adjacent sides.
If two sides share a vertex, then they are adjacent sides
alonzo has been given a list of 4 bands and asked to place a vote. his vote must have the names of his favorite, second favorite, and third favorite bands from the list. how many different votes are possible? \
Answers
There are 24 ways for the vote of the favorite, second favorite, and third favorite band to be cast.
The list contains 4 bands.
Out of these 1 band is Alonzo's favorite, 1 is his second favorite and another is his 3rd favorite
Now to choose his favorite Alonzo has 4 choices. Hence there are 4 ways to cast this vote.
Now since one band has been chosen, Alonzo is left with 3 bands on the list, hence he has 3 ways to cast the vote for the second favorite.
For the last vote of 3rd favorite, there are2 options available, hence this can be done in 2 ways.
Hence we get the total number of ways to be
4 X 3 X 2 ways
= 24 ways
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PLEASE HELP A WHOPPING 100 POINTS!!! AND BRAINLY NO LINKS
Enter your answer and show all the steps that you use to solve this problem in the space provided. Use the 30°-60°-90° Triangle Theorem to find the answer.
Find the value of x. If your answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale.
Answers
Answer: 5\(\sqrt{3}\)
Step-by-step explanation:
The 30-60-90 triangle rule states that the hypotenuse is twice the length of the shortest leg (which would be 5) and the longer leg is \(\sqrt{3}\) times the length of the shorter leg.
Since we are trying to find x we would use the rule for the longer leg
so 5 * \(\sqrt{3}\) would just be 5\(\sqrt{3}\)
The value of the x is 5√3 after we successfully do the application of the 30°-60°-90° Triangle theorem.
What is Triangle theorem?The 30°-60°-90° Triangle Theorem states that in such a triangle, the side opposite the 30° angle is half the length of the hypotenuse, and the side opposite the 60° angle is the product of the length of the hypotenuse and the square root of 3 divided by 2.
here, we have,
Using this theorem, we can write:
y = hypotenuse
Opposite of 30° angle = 5 = hypotenuse/2
Opposite of 60° angle = x = hypotenuse × (√(3)/2)
Solving for the hypotenuse in terms of y from the first equation, we get:
hypotenuse = 5×2 = 10
Substituting this value into the third equation, we get:
x = 10 × (√(3)/2) = 5 × √(3)
Hence, The value of the x is 5√3 after we successfully do the application of the 30°-60°-90° Triangle theorem.
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The sum of two integers is 3 and the sum of their squares is 29. What is the smaller integer?
Answers
Answer:
The smaller integer is -4 and the larger integer is 7. To solve this problem, we can use a system of equations. Let x represent the smaller integer and y represent the larger integer. We can then set up two equations, one for the sum of the integers and one for the sum of their squares:
x + y = 3
x2 + y2 = 29
Solving these equations gives us:
x = -4
y = 7
The amount of undeveloped land in a suburban community has been decreasing by one-eighth each year since 2002. In 2002, there were 30 acres of undeveloped land
find the solution showing the number of years, t, it took for the amount of undeveloped land to be approximately 15.39 acres.
Answers
It took approximately 5.3 years for the amount of undeveloped land to decrease to approximately 15.39 acres, starting from 30 acres in 2002.
Let L(t) be the amount of undeveloped land in acres at time t, where t is measured in years since 2002. Then, we can write:
L(t) = 30 * (7/8)^t
We know that the amount of undeveloped land we are interested in is approximately 15.39 acres. Therefore, we can set up the following equation:
15.39 = 30 * (7/8)^t
To solve for t, we can first divide both sides by 30:
0.513 = (7/8)^t
Next, we can take the natural logarithm of both sides:
ln(0.513) = ln[(7/8)^t]
ln(0.513) = t * ln(7/8)
t = ln(0.513) / ln(7/8)
t ≈ 5.3
Therefore, it took approximately 5.3 years for the amount of undeveloped land to decrease to approximately 15.39 acres, starting from 30 acres in 2002.
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what is the approximate average rate at which the area decreases, as the rectangle's length goes from 13\text{ cm}13 cm13, start text, space, c, m, end text to 16\text{ cm}16 cm16, start text, space, c, m, end text?
Answers
The approximate average rate at which the area decreases as the rectangle's length goes from 13 cm to 16 cm is equal to the width (w) of the rectangle.
To determine the approximate average rate at which the area decreases as the rectangle's length goes from 13 cm to 16 cm, we need to calculate the change in area and divide it by the change in length.
Let's denote the length of the rectangle as L (in cm) and the corresponding area as A (in square cm).
Given that the initial length is 13 cm and the final length is 16 cm, we can calculate the change in length as follows:
Change in length = Final length - Initial length
= 16 cm - 13 cm
= 3 cm
Now, let's consider the formula for the area of a rectangle:
A = Length × Width
Since we are interested in the rate at which the area decreases, we can consider the width as a constant. Let's assume the width is w cm.
The initial area (A1) when the length is 13 cm is:
A1 = 13 cm × w
Similarly, the final area (A2) when the length is 16 cm is:
A2 = 16 cm × w
The change in area can be calculated as:
Change in area = A2 - A1
= (16 cm × w) - (13 cm × w)
= 3 cm × w
Finally, to find the approximate average rate at which the area decreases, we divide the change in area by the change in length:
Average rate of area decrease = Change in area / Change in length
= (3 cm × w) / 3 cm
= w
Therefore, the approximate average rate at which the area decreases as the rectangle's length goes from 13 cm to 16 cm is equal to the width (w) of the rectangle.
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1. If the GCF (y, 160) = 10, then find at least three values of y.
Answers
Answer:
10
30
50
Step-by-step explanation:
Colton's gross pay is $1421.50 and his net pay is $973.48.
What percent of his gross pay is take-home pay?
31.5%
44.8%
46%
68.5%
Answers
68.5% of Colton's gross pay is take-home pay. To find the percentage of Colton's gross pay that is take-home pay, we need to divide his net pay by his gross pay and then multiply by 100 to convert the resulting decimal to a percentage.
To find the percentage of Colton's gross pay that is take-home pay, we need to divide his net pay by his gross pay and multiply the resulting decimal by 100 to express it as a percentage. Colton's gross pay is $1421.50 and his net pay is $973.48. Dividing the net pay by the gross pay gives a result of 0.685, or 68.5% when converted to a percentage. This means that 68.5% of Colton's gross pay is take-home pay, or the amount of money that he receives after deductions are made. Therefore, Colton's take-home pay is $973.48, which is 68.5% of his gross pay.
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Help ASAP!!
Anyone know this pls?
(More in the picture below)
6(21w−43)
Answers
Answer: Heres the answer for you
Step-by-step explanation:
And also how you work the promblem out also.
Answer: 3w - 9/2
When combining like terms and simplifying the equation, the answer is 3w - 9/2
Hope this helps =)
A rectangular school banner has a length of 21 inches and a perimeter of 66 inches. A sign is made that is similar to the school banner and has a length of 7 inches. What is the perimeter of the sign?
Answers
The perimeter of the sign is 22 inches.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
A rectangular school banner has a length of 21 inches and a perimeter of 66 inches.
Let the perimeter of the sign for the length of 7 inches of the banner = x
So, By definition of proportion, we get;
⇒ 21 / 66 = 7 / x
Solve for x;
⇒ x = 7 × 66 / 21
⇒ x = 22
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