76
Step-by-step explanation:
just divide 6080 by 80 and you get 76
Solve Task 3 Entirely.
Answer:
1. x = 5
2. xy = 6
3. yz = 18
4. Yes
Step-by-step explanation:
Hello!
XZ is the sum of Xy and YZ, or the same as 5x - 1.
1.Given that XZ is 24 and 5x - 1, we can say that they are equal.
Solve for x5x - 1 = 245x = 25x = 5We solved our first question: x = 5.
2.We can find XY by substituting 5 for x in x + 1
x + 1; x = 55 + 16We solved our second question: XY = 6
3.We can find YZ by substituting 5 for x in 4x - 2
4x - 2;x = 54(5) - 220 - 218We solved our third question: YZ = 18
4.Yes, 18 + 6 is 24.
Answer:
\(\textsf{1.} \quad x=5\)
\(\textsf{2.} \quad\overline{xy}=6\)
\(\textsf{3.} \quad \overline{yz}=18\)
4. Yes
Step-by-step explanation:
Given:
\(\overline{xz}=24\; \sf inches\)From inspection of the given diagram:
\(\overline{xy}=x+1\)\(\overline{yz}=4x-2\)Question 1
\(\textsf{As $\overline{xy}+\overline{yz}=\overline{xz}$ then}:\)
\(\implies (x+1)+(4x-2)=24\)
\(\implies x+1+4x-2=24\)
\(\implies x+4x+1-2=24\)
\(\implies 5x-1=24\)
\(\implies 5x-1+1=24+1\)
\(\implies 5x=25\)
\(\implies 5x \div 5=25 \div 5\)
\(\implies x=5\)
Question 2
\(\textsf{Substitute the found value of $x=5$ into the expression for $\overline{xy}$}:\)
\(\implies \overline{xy}=x+1\)
\(\implies \overline{xy}=5+1\)
\(\implies \overline{xy}=6\)
Question 3
\(\textsf{Substitute the found value of $x=5$ into the expression for $\overline{yz}$}:\)
\(\implies \overline{yz}=4x-2\)
\(\implies \overline{yz}=4(5)-2\)
\(\implies \overline{yz}=20-2\)
\(\implies \overline{yz}=18\)
Question 4
\(\textsf{Check $\overline{xy}+\overline{yz}=24$ by substituting the found values}:\)
\(\implies \overline{xy}+\overline{yz}=24\)
\(\implies 6+18=24\)
\(\implies 24=24\)
\(\textsf{Therefore the found values of $\overline{xy}$ and $\overline{yz}$ are correct}.\)
find the angle of elevation from c to a
Answer:
32 Degrees
Step-by-step explanation:
Thank me later lol
How do you solve this problem step-by-step? 15(40-9)x3+6
Answer:
The answer to this problem is 1401.
Step-by-step explanation:
By using the order of operations listed here, we can solve the problem very easily.
EVALUATE IN PARENTHESES \(40-9\): 40 minus 9 is 31, so now the problem is 15(31) x 3 + 6
MULTIPLY/DIVIDE \(15(31)*3\): X times Y can be \(X*Y\) or \(X (Y)\). This evaluates to \(15*31*3\) which is 1395.
ADD/SUBTRACT: The problem now is just \(1395+6\) which evaluates to a total of \(1401\).
ASAP it’s due 10 minutes
Answer:
B: I and III
Step-by-step explanation:
The only pt where the x-axis and y-axis meet is the origin. The origin's coordinates are (0,0)
Cameron has 75% as many shirts as her brother. How many shirts does her brother have if Cameron has 9 shirts?
Answer:
12 t-shirts
Step-by-step explanation:
12 x 75% = 9 = 9 t-shirts
probability density function
The area under the curve between two values on the x-axis represents the probability that the random variable falls within that range, with the total area under the curve being equal to 1.
In the graph, the PDF is represented by the smooth curve. The highest point on the curve corresponds to the most likely value of the random variable. In this case, the most likely value appears to be around x = 2.5.
The area under the curve between any two values on the x-axis represents the probability that the random variable falls within that range. For example, the probability that the random variable falls between x = 1 and x = 3 is equal to the area under the curve between those two values.
It's important to note that the probability density function must satisfy the following two conditions:
The total area under the curve must be equal to 1.
The probability of the random variable taking on any specific value is equal to zero, since the function only describes the likelihood of the variable taking on a range of values.
PDFs are often used in statistics to describe continuous distributions, such as the normal distribution, and to make statistical inferences about populations based on samples.
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Round 69,593 to the nearest thousand.
Answer:
70.000
is the answer I hope it will help
The cost of a business to make a greeting cards can be divided into one-time cost (e.g.,a printing machine) and repeated cost (e.g.,ink and paper )suppose the total cost to make 500 cards is 1,100 and the total cost to make 650 cards is 1,400 what is the total cost to make 1,000 cards round your answer to the nearest dollar
ASAP !
Answer:
$ 2,200
Step-by-step explanation:
If it cost $1,100 to make 500 then double that and you get $2,200
Answer:
$2100
Step-by-step explanation:
After 500 cards, there is a discount.
(1100/500 = 2.2) So, $2.20 per card for the first 500 cards.
For every 150 cards after the initial 500, it costs $300, or $2.00 per card. (300/150 = 2)
If you want 1,000 cards, you are ordering 500 of them at $2.20 per card and the second 500 cards at $2.00 per card.
(500x2.2) + (500x2)= 2100
Help plzzzzzzzzzzzzzzzzz
Answer:
"Sorry but i am answering this because i need major help on a question"
Step-by-step explanation:
Calculate the sector area: 16 in 90°
Therefore , the solution of the given problem of area comes out to be
r = 8.
Define area.The term "area" describes the amount of space occupied by a 2D form or surface. We use cm2 or m2 as our units for measuring area. A shape's area is determined by dividing its length by its breadth.
Here,
A 90 degree sector occupies 1/4 of a circle, which has 360 degrees. Consequently, the area of the whole circle can be written as
Sector Size/Sector Area = Circle Area/360
16 ft2/90 = n/360
(360) (16 ft2)/90 = n
(4)(16 ft2) = n
The total size of the circle is n = 64 ft2.
Since Area of a Circle equals r2,
∏r2 = 64
r2 = 64/∏
r = √(64/∏)
We multiply by / to get by rationalizing the denominator.
r = √(64∏)/√(∏2) Then using the denominator's square root, we can obtain the solution of
r = √(64∏)/∏
r = 8
Therefore , the solution of the given problem of area comes out to be
r = 8.
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Susan bought a 1 kilogram bag of grapes. On the way home, she ate 125 grams of the grapes. How many grams of grapes does Susan have left? use math language and symbols to explain how you used the correct measurement units to solve the problem.
Susan has 875 grams of grapes left.
1. Susan bought a 1 kilogram bag of grapes, which is equivalent to 1000 grams (since there are 1000 grams in a kilogram).
2. Susan ate 125 grams of the grapes on her way home.
3. To find out how many grams of grapes Susan has left, we need to subtract the amount she ate from the initial weight of the bag. Therefore, we subtract 125 grams from 1000 grams.
1000 grams - 125 grams = 875 grams
4. Thus, Susan has 875 grams of grapes left.
measurement units:
In this problem, we used grams as the measurement unit. Grams are commonly used to measure the weight of small objects like grapes. Since the problem stated that Susan bought a 1 kilogram bag of grapes, it was necessary to convert the kilogram measurement to grams.
This conversion was done by multiplying the kilogram value by 1000 (1 kilogram = 1000 grams). By using the correct measurement units, we were able to accurately calculate the amount of grapes Susan had left after eating a portion.
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PLEASE HELP PLEASE PLEASE HELP
Reason:
Choices A through C all result in 8/3 = 2.667 approximately
In contrast, choice D becomes 2/3 + 4/3 = (2+4)/3 = 6/3 = 2; showing that choice D is not equivalent to choices A through C.
29.For n ≥ 3, a pattern can be made by overlapping n circles, each of circumference 1 unit, so that each circle passes through a central point and the resulting pattern has order-n rotational symmetry.
For instance, the diagram shows the pattern where n = 7.
If the total length of visible ares is 60 units, what is n?
The value of n can be determined by finding the number of visible arcs in the pattern, which is 30 in this case.
To determine the value of n, we need to find the relationship between the total length of visible areas and the number of circles (n).
In the given pattern, each circle contributes to the visible area twice: once as its circumference and once as the overlapping part with the adjacent circles. Since the circumference of each circle is 1 unit, the visible area contributed by each circle is 2 units.
Therefore, the total length of visible areas can be expressed as 2n. Given that the total length is 60 units, we can set up the equation:
2n = 60
Solving this equation, we find:
n = 60/2 = 30
Thus, the value of n is 30.
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Suppose a software company gives Zachary a college grant of $32,000. Zachary puts 85
percent of the grant into a savings account that pays 1.62 percent interest compounded
quarterly. After 3.5 years, how much money will be in his account? Round your answer to the
nearest cent.
Which situation is most likely to have a constant rate of change?
OA. Distance a delivery truck travels compared with the number of
deliveries made
O B. The total amount paid for gas compared with the number of
gallons purchased.
C. Points scored in a basketball game compared with the number of
quarters played
O
D. Number of flowers in a flower bed compared with the area planted
What is the measure of one exterior angle of a 15-sided regular polygon?
O 12 degrees
O 168 degrees
O24 degrees
O 156 degrees
Answer:
24°
Step-by-step explanation:
For an n-sided regular polygon, the sum of internal angles = (n-2)×180°
Since all internal angles are equal, the internal angle can is given as:
Here, it is given that the polygon has 15 sides.
So n = 15
So each internal angle is 156°.
Internal and external angles are always supplementary. So the sum of the internal and external angles is 180°.
So external angle = 180° - 156° = 24°.
The measure of each external angle is 24°.
A curve passes through the point (0,7) and has the property that the slope of the curve at every point P is five times the y-coordinate of P. What is the equation of the curve
Answer:
y(x) = 7e^(5x)
Step-by-step explanation:
The question says that the slope of the curve at every point P is five times the y-coordinate of P. This means that
dy/dx = 5y
Refer to solutions of differential equations, dy/dt = ky, being in the form of y(t) = y(0) e^(kt)
Using the above stated law now, we can relate to our equation, saying that
y(x) = y(0) e^(5x)
The point given from the question is, (0, 7). This also means that y(0) = 7. So finally, we can have
y(x) = 7e^(5x)
And that is our needed equation of the curve
pls complete these two questions! 80 points!!
3a. An equation in slope-point for this line is y + 2 = 1/2(x - 0).
3b. The equation in slope-intercept form is y = 1/2(x) - 2.
4a. An equation in slope-point form to represent this function is y - 3875 = -1/695(x - 19375).
4b. The cost of operating a car that has been driven 31250 km is $3892.086.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.Part 3.
First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (0 + 2)/(4 - 0)
Slope (m) = 1/2
At data point (0, -2) and a slope of 1/2, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y + 2 = 1/2(x - 0)
y = 1/2(x) - 2
Part 4a.
Based on the information provided about Jay's business, we would determine the slope of the line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (3900 - 3875)/(2000 - 19375)
Slope (m) = 25/-17375
Slope (m) = -1/695
At data point (19375, 3875) and a slope of -1/695, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 3875 = -1/695(x - 19375)
Part 4b.
For the cost when x = 31250 km, we have:
y - 3875 = -1/695(31250 - 19375)
y = 17.086 + 3875
y = $3892.086.
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Plot −5/4 and its opposite on the number line.
Select the points on the line to plot.
-3 | | | -2 | | | -1 | | | 0 | | | 1 | | | 2 | | | 3
Below are 2 parallel lines with a third line intersecting them. What is the value of x?
Answer:
B
Step-by-step explanation:
50 degree = x ,because corresponding angels are congruent.
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A rectangle has a width of 4 meters and a length of 6 meters. A similar rectangle has a width of 12 meters. Find the area of the similar rectangle after finding its length.
Answer:
216 m
Step-by-step explanation:
12/4= x/6
3=x/6
x=3x6
length= 18
area=length x width
12x18=216
What is the sum of the 22 solutions of the equation x^2-4x-45=0x
2
−4x−45=0 ?
The solution for the equation x² – 4x – 45 = 0 is (x – 9) (x + 5)
Given,
Quadratic equation = x² – 4x – 45
We can solve this by using quadratic formula.
Equations of the form ax² + bx + c = 0 can be solved using quadratic formula.
Here the equation is in the form of above mentioned:
x² – 4x – 45 = 0
Quadratic formula = \(\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}\)
Substitute the values in the formula,
x = \(\frac{-(-4)(+-)\sqrt{(-4)^{2}-4(-45) } }{2}\)
x = \(\frac{4(+-)\sqrt{16 -4(-45)} }{2}\)
x = \(\frac{4(+-)\sqrt{16+180} }{2}\)
x = \(\frac{4(+-)\sqrt{196} }{2}\)
x = \(\frac{4(+-)14}{2}\)
Now, solve the equation for:
x = \(\frac{4+14}{2}\) = \(\frac{18}{2}\) = 9
Next, solve the equation for:
x = \(\frac{4-14}{2}\) = \(\frac{-10}{2}\) = -5
According to ax² + bx + c = a(x - x₁) (x - x₂),
Here, x₁ is 9 and x₂ is -5
So,
x² - 4x - 45 = ( x - 9) (x - (-5))
That is,
x² - 4x - 45 = (x - 9) (x + 5)
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Find the slope of the line that passes through (-26, -23) and (24, 42).
Answer:
13/10
Step-by-step explanation:
\(m = \frac{ - 23 - 42}{ - 26 - 24 } \\ = \frac{65}{50 } \\ = \frac{13}{10} \)
If the vertices of a parallelogram PQRS taken in order are P(3,4), Q(-2,3) and R(-3,-2),then the coordinates of its fourth vertex S are?
The coordinates of the fourth vertex of the parallelogram S are (2, -1)
In a parallelogram, opposite sides are parallel and equal in length, so the vector that represents one side can be added to one vertex to find the next vertex.
Given vertices P and Q, the vector PQ can be represented as (Q - P) = (-2 - 3, 3 - 4) = (-5, -1).
So, to find the fourth vertex S, we can add the vector PQ to vertex R:
S = R + PQ = (-3, -2) - (-5, -1) = (2, -1)
Therefore, the coordinates of vertex S are (2, -1).
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find the product. simplify your answer
cancel by 3
8/21Answer:
\(\sf \dfrac{8}{21}\)
Step-by-step explanation:
Given expression:
\(\sf \dfrac{6x}{-7} \cdot \dfrac{4}{-9x}\)
When multiplying fractions, simply multiply the numerators and multiply the denominators:
\(\implies \sf \dfrac{6x}{-7} \cdot \dfrac{4}{-9x} = \dfrac{6x \cdot 4}{-7 \cdot -9x} =\dfrac{24x}{63x}\)
Cancel the common factor x:
\(\implies \sf \dfrac{24 \diagup\!\!\!\!x}{63 \diagup\!\!\!\!x}=\dfrac{24}{63}\)
Rewrite 24 as 3 · 8 and rewrite 63 as 3 · 21:
\(\implies \sf \dfrac{24}{63}=\dfrac{3 \cdot 8}{3 \cdot 21}\)
Cancel the common factor 3:
\(\implies \sf \dfrac{\diagup\!\!\!\!\!3 \cdot 8}{\diagup\!\!\!\!\!3 \cdot 21}=\dfrac{8}{21}\)
What is the slope of the line that passes through (a,b) and (1/a,b)?
Answer:
slope = 0
Step-by-step explanation:
Since the y- coordinates of both points are equal, both b
This indicates the line is horizontal and parallel to the x- axis
The slope of the x- axis is zero then the slope of the line is zero
Answer:
slope of the line is 0
Step-by-step explanation:
(a , b)=(x1 , y1)
(1/a , b)=(x2 , y2)
slope=y2 -y1/x2 -x1
=b-b/ 1/a -a
=0/1-\(a^{2}\)/a
=0*a/1-\(a^{2}\)
=0/1-\(a^{2}\)
=0
Select the correct answer.
Which expression is equivalent to the given expression?
2x² - 14x +24
A. (2x - 12)(x - 2)
B. 2(x - 3)(x - 4)
C. 2(x - 8)(x + 3)
D. 2(x - 5)(x - 2)
Answer: B. 2(x - 3)(x - 4)
Step-by-step explanation:
Ten upright dominos of increasing height are lined up to be knocked down. The dominos are numbered 0 to 9. The smallest domino, #0, is 3.00 inches tall and will be toppled by a person to start the chain reaction. Each subsequent domino is 15% taller than the one before. What is the height of domino #9?
Answer:
8.604 in.
Step-by-step explanation:
We can use the formula for compound interest to find the height of domino #9:
A = P(1 + r)^n
where A is the final amount, P is the initial amount, r is the growth rate, and n is the number of compounding periods. In this case, P is the height of domino #0, r is 15% or 0.15, and n is 9 (since we want to find the height of domino #9).
Substituting the given values:
A = 3.00 in * (1 + 0.15)^9
Simplifying:
A = 3.00 in * 2.86797199
A ≈ 8.604 in
Therefore, the height of domino #9 is approximately 8.604 inches.
m∠GHI=6x° and m∠LMN=9x°. If ∠GHI and ∠LMN are supplementary, what is the measure of each angle?
(A) m∠GHI = 12°; m∠LMN = 168°
(B) m∠GHI = 72°; m∠LMN = 108°
(C) m∠GHI = 12°; m∠LMN = 78°
(D) m∠GHI = 72°; m∠LMN = 18°
Here, m∠GHI=72° and m∠LMN=108°. Therefore, option B is the correct answer.
Given that, m∠GHI=6x° and m∠LMN=9x°.
We need to find the measure of each angle.
What are supplementary angles?Supplementary angles are thus a set of angles that complete each other to form 180°. Supplementary angles are those angles that sum up to 180°.
Now, 6x°+9x°=180°
⇒15x°=180°
⇒x°=12°
Thus, m∠GHI=6×12°=72° and m∠LMN=9×12°=108°.
Therefore, option B is the correct answer.
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Multiply 3x (2x-1) by the following steps:
Answer:
\(6x^{2} -3x\)
Step-by-step explanation:
3x(2x-1)
3x(2x)-(3x)(1)
6x^2-3x
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