Answer:
0 < x < 3
Step-by-step explanation:
The quotient of Sara’s score and 3.5 is 3. Write an equation that represents the situation, then find Sara’s score. Show your work.
c)The sum of Hamza’s score and 4.5 is equal to 7. Write an equation that represents the situation, then find Hamza’s score. Show your work.
d)4 less than Luna’s score is 4. Write an equation that represents the situation, then find Luna’s score. Show your work.
e)The sum of all scores must be at least 23 points. Write an inequality that represents the score of Mario, m, the fifth player. Access the following link where you can input the inequality you wrote and get it graphed. Attach a snip of the graph. Name
Mahdi score X
Sara score Y
Hamza score K
Luna score Z
Sara's score is 10.5; Hamza's score is 2.5; Luna's score is 8. The inequality for Mario's score is M ≥ 23 - X - Y - K - Z.
c) Let H be Hamza's score. Then we have the equation H + 4.5 = 7. Solving for H, we get:
H = 7 - 4.5 = 2.5
Therefore, Hamza's score is 2.5.
d) Let L be Luna's score. Then we have the equation L - 4 = 4. Solving for L, we get:
L = 4 + 4 = 8
Therefore, Luna's score is 8.
e) Let M be Mario's score. Then we have the inequality:
X + Y + K + Z + M ≥ 23
We can rearrange this inequality as:
M ≥ 23 - X - Y - K - Z
This represents the minimum score that Mario needs to achieve in order for the sum of all scores to be at least 23. Since we don't know the values of X, Y, K, and Z, we can't determine a specific value for M.
However, we can graph this inequality on a coordinate plane to see the possible values of M that satisfy the inequality.
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A 30\,\text {kg}30kg30, start text, k, g, end text dog runs at a speed of 15\, \dfrac{\text m}{\text s}15
s
m
15, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction.
What is the dog’s kinetic energy?
Round answer to two significant digits.
Answer:
3,400 J
Step-by-step explanation:
Got it off Kahn Academy, please just trust me on this.
A 30 kg dog runs at a speed of 15 m/s.
What is the dog’s kinetic energy?
Answer: 3,400 J
Find the equation of the parabola with the following properties. Express your answer in standard form.
Symmetric with respect to the line y = 2
Directrix is the line x = 11
P = -3
The equation of the parabola with the following properties y = (-1/4)(x+3)^2 -1
What is the equation of the parabola?To find the equation of a parabola, we can use the formula f(x) = ax^2 + bx + c, where a, b and c are congruent vertices.
Alternatively, we can use PF = PM to find the equation of the parabola.
vertex is half way between the focus and directrix
It's a downward opening parabola, general form
y= a(x-h)^2 + k
where (h,k) = vertex= (-3,-1)
plug in another point on the parabola to solve for a which gives
am answer with either x coefficient = -1'/4 or =4 Check the math.
one or the other is right another point is the y intercept = 9a-1
Another point is directly to the right of the focus (-1, -2) It's 2 down from the directrix and 2 to the right of the focus, equidistant. plug that point into y= a(x+3)^2 -1 and solve for "a"
-2 = a((-1+3)^2 -1
-2 = 4a -1
4a = -
a = -1/4
The parabola is y = (-1/4)(x+3)^2 -1
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Dado cot B = 0.57736, determina la medida del ángulo B.
The measure of angle B is approximately equal to 56.31 degrees, rounded to two decimal places.
What is a angle measure?An angle measure is a numerical value that represents the amount of rotation between two intersecting lines, line segments or rays. It is typically measured in degrees, although other units of measurement such as radians and grads may also be used. The size of an angle can range from 0 degrees (corresponding to no rotation or a straight line) to 360 degrees (corresponding to a full rotation). In geometry, angles are used to describe the relationships between lines and shapes, and are an important concept in fields such as trigonometry and calculus.
To find the measure of angle B given cot B = 0.57736, we can use the inverse tangent function.
The tangent of an angle is the ratio of the opposite side to the adjacent side,
So cot B = adjacent side / opposite side.
By taking the inverse tangent of both sides and substituting cot B for adjacent side / opposite side, we arrive at the equation
B = arctan(cot B).
Evaluating arctan(cot B) using a calculator gives us the measure of angle B as,
B = arctan(cot B) = 56.31° (rounded to two decimal places)
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The complete question is: "Given cot B = 0.57736, determine the measure of angle B".
If the square root of 20% of B equals 24, what is the value of B?
Answer:
B = 2880
Step-by-step explanation:
You want to find B when ...
√(0.2B) = 24
0.2B = 576 . . . square both sides
B = 2880 . . . . divide by 0.2
what is 7 times 5 plz help
7 apples times 5 tomato's equal 35 potato's!
Answer:
it is a simple question and easy to learn
Step-by-step explanation:
it's 35 because if you add 5+5+5+5+5+5+5=35 it will equal the same answer as 7x5=35.
Simplify the fractions using the greatest common factor and division 4/8 =
Answer:
2/4
Step-by-step explanation:
In the figure above. if AC = CE and B is the midpoint of AC , CD= 2 and AB = 3. Find the following: BC AC and DE
Answer:
BC = 3
AC = 6
DE = 4
Explanation:
Given that B is the midpoint of AC, this means that AB and BC are equal.
Since AB = 3, BC = 3
AC = AB + BC
= 3 + 3
AC = 6
AC is equivalent to CE
Since AC = 6
CE = 6
But CE = CD + DE
Given CD = 2
CE = 2 + DE
6 = 2 + DE
Subtract 2 from both sides
6 - 2 = 2 + DE - 2
DE = 4
How many lines of symmetry are in this snowflake design?
A. O
B. 3
C. 6
D.9
E. 12
Answer:
c plz give brainliest
Step-by-step explanation:
Scotland Beauty Products manufactures face cream, body lotion, and liquid soap in a joint manufacturing process. At the split-off point, the company has 300 pounds of face cream, 200 pounds of body lotion, and 300 pounds of liquid soap and has incurred $200,000 in joint costs. Using the physical units method, allocate the joint costs to: a. Face Cream $ b. Body Lotion $ c. Liquid Soap $
Answer:
a. 75,000
b. 50,000
c. 75,000
Step-by-step explanation:
The computation of allocating the joint cost using the physical units method is shown below:
\(Allocation\ rate = \frac{Joint\ costs}{Total\ number\ of\ products}\)
\(= \frac{\$200,000}{300 + 200 + 300}\)
\(Allocation\ rate = \frac{200,000}{800}\)
= 250
For face cream
\(= Unit\ produced\times Allocation\ rate\)
= \(300\times 250\)
= 75,000
For body lotion
\(= Unit\ produced\times Allocation\ rate\\\\ = 200\times 250\)
= 50,000
For Liquid soap
\(= Unit\ produced\times Allocation\ rate\\\\ = 300\times 250\)
= 75,000
hence, we simply applied the above formula by multiplying the units produced with the allocation rate so that each one allocation cost could come
Number of Computers
72
60
48
36
24
12
V
1 2 3 4 5 6 7 8 9 10 11 12
Number of Days
The graph shows a proportional relationship between
the number of computers produced at a factory per day.
In three days, 36 computers are produced; 48
computers are produced in 4 days; and 60 computers
are produced in 5 days.
Find the unit rate of computers per day using the graph.
Unit rate:
computers per day
The unit rate of computers per day using the graph is that 12 computers are made per day.
What is a unit rate?The unit rate is how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. Unit rates is said to be the amount of something in each unit or per unit.
How to find the unit rate of computers per dayTo obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x
So, it is given by:
\(\text{Slope} = \dfrac{\text{change in y}}{\text{change in x}}\)
\(\text{Slope} = \dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)
\(\text{y}_2 = 60 , \ \text{y}_1 = 36 , \ \text{x}_2 = 5, \ \text{x}_1 = 3.\)
\(\text{Slope} = \dfrac{(60 - 36)}{(5 - 3)} = \dfrac{24}{2} = 12\)
\(\bold{Slope = 12}\)
Unit rate = 12 computers per day.
The attachment of the graph is given below.
Therefore, the unit rate of computers per day is 12.
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Based on the work below, is (4, 7) a solution to the equation given?
Answer:
No
Step-by-step explanation:
If a ordered pair is a solution for an equation, then it will satisfy the equation. That is, after substituting the x and y values in the equation, both sides of the equation will be same.
Here 29 ≠ 45.
So, (4,7) is not a solution
Help help help help help
Answer:
12
Step-by-step explanation:
Answer:
12 is the ans. of your question
how many miles does a runner travel in a 10-kilometer run? (1 mile = 1.6 km)
Answer:
6.25 miles
Step-by-step explanation:
To find how many miles they ran, divide the number of kilometers by 1.6
10/1.6
= 6.25
So, they ran 6.25 miles
5. The denominator of a rational number is greater than its numerator by 7. If the numerator is increased by 17 and the denominator is decreased by 6, the new number becomes 2. find the original number.
Answer:
Let the fraction be qp
So q=p+7
q−6p+17=2
⇒p+7−6p+17=2
⇒p+1p+17=2
⇒p+17=2p+2
⇒p=15
q=15+7=22
So qp=2215.
Step-by-step explanation:
hope it helps you please mark me as brainlist
Answer:
15/22.
Step-by-step explanation:
Let the denominator of original number be x.
Then the fraction is written as x/(x+7).
From the given info:-
(x+17)/ (x + 7 - 6) = 2
(x+17)/(x+1) = 2
2(x+1) = x+ 17
2x + 2 = x + 17
x = 17-2 = 15.
So the original number = x/x+7
= 15/22.
write an article for publication into the school's magazine on three effects of indiscipline and suggest about three ways of arresting the menace
Answer:
East West Point E.W English School's effects and solutions of indiscipline Effects.peer influence.Teacher's immoral relationship.Poor attitude of teachers to work Solutions .Review children's act to incorporate emerging issues.Indiscipline students be absorbed into correctional schools.That student involved in criminal activities be treated as criminals and dealt with in accordance with lawStep-by-step explanation:....... A number has 100 digits, none of which is 0. Prove that one can delete 88 of its digits such that
the remaining number is divisible by 101.
Answer:
Step-by-step explanation:
Let the 100-digit number be represented as
$a_1a_2a_3\ldots a_{99}a_{100}$
We need to prove that there exist 88 digits that we can delete from this number such that the remaining number is divisible by 101.
We can represent the given number as a sum of powers of 10 as follows:
$a_1 \times 10^{99} + a_2 \times 10^{98} + a_3 \times 10^{97} + \cdots + a_{99} \times 10^1 + a_{100} \times 10^0$
We can use the fact that $10 \equiv -1 \pmod{101}$ to simplify the above expression as follows:
$a_1 \times (-1)^{99} + a_2 \times (-1)^{98} + a_3 \times (-1)^{97} + \cdots + a_{99} \times (-1)^1 + a_{100} \times (-1)^0$
which is equivalent to:
$-a_1 + a_2 - a_3 + \cdots + (-1)^{99} a_{99} + (-1)^{100} a_{100}$
We can group the terms as follows:
$(-a_1 + a_2 - a_3 + \cdots + a_{98} - a_{99}) + (a_{99} - a_{100})$
Notice that the first group of terms is the sum of 49 pairs of terms, each pair having a difference of $-1$ or $1$. Therefore, the sum of the first group of terms is either $-49$ or $49$.
Since none of the digits are 0, we know that $a_{99} \neq 0$ and $a_{100} \neq 0$, which implies that $a_{99} - a_{100}$ is not divisible by 101. Therefore, either $a_{99} - a_{100} = 1$ or $a_{99} - a_{100} = -1$.
Now consider the two cases:
Case 1: The sum of the first group of terms is $49$
In this case, we can delete the digits corresponding to the terms in the first group that have a negative sign. This will remove 49 digits, leaving us with a number that is equal to $(a_{99} - a_{100}) \times 10^1 = \pm 10$, which is divisible by 101.
Case 2: The sum of the first group of terms is $-49$
In this case, we can delete the digits corresponding to the terms in the first group that have a positive sign. This will remove 49 digits, leaving us with a number that is equal to $(-a_{99} + a_{100}) \times 10^1 = \pm 10$, which is divisible by 101.
Therefore, in either case, we can always delete 88 digits from the original number to obtain a number that is divisible by 101.
75% of something = 342
Need answer quick
What is the slope of the line that contains the points (−3, −1) and (3, 8)?
two thirds
three halves
Undefined
0
Answer:
m = \(\frac{3}{2}\)
Step-by-step explanation:
calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 3, - 1 ) and (x₂, y₂ ) = (3, 8 )
m = \(\frac{8-(-1)}{3-(-3)}\) = \(\frac{8+1}{3+3}\) = \(\frac{9}{6}\) = \(\frac{3}{2}\)
Answer:
3/2
Step-by-step explanation:
To find the slope, we use the slope formula
m = ( y2-y1)/(x2-x1)
= (8- -1)/( 3 - -3)
= (8+1)/(3+3)
= 9/6
= 3/2
a gift shop sells walnuts in three fourth pond bags . Ann wants to buy enough to have 4 pounds of walnuts. How many 3/4 pound bags will she need to buy?
Answer: 4 pounds is equal to 16 four-ounce (1/4 pound) increments.
To find the number of 3/4 pound bags Ann needs to buy, we can convert 16 four-ounce increments to three-fourth pound increments:
16 four-ounce increments = 16 x 4 = 64 ounces
64 ounces = 64/16 = 40 three-fourth pound increments
Therefore, Ann will need to buy 40 bags of walnuts, each weighing 3/4 of a pound.
Step-by-step explanation:
If ABCD is dilated by a factor of 3, the
coordinate of B' would be:
-5 -4
MA
А
B
3
26
1
-2 -10
-1
-2.
-3
C
2 3 4 5
D
B' = ([?], [])
Enter
If ABCD is dilated by a scale factor of 3, the coordinate of B' would be (-6, 6).
What is dilation?In Geometry, dilation simply refers to a type of transformation which typically changes the size of a geometric object, but not its shape.
This ultimately implies that, the size of the geometric shape would be increased (stretched or enlarged) or decreased (compressed or reduced) based on the scale factor applied.
Next, we would apply a dilation to the coordinates of the pre-image by using a scale factor of 3 centered at the origin as follows:
Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3, 2 × 3) = Ordered pair B' (-6, 6).
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The price of an item has been reduced by 40%. The original price was $28 .
Answer:
$16.80
Step-by-step explanation:
Given the following question:
40% of 28
To find the new price of the item we use the formula to calculate percentages then we take that answer and subtract it from the original price.
\(\frac{p\times n}{100}\)
\(\frac{40\times28}{100}\)
\(40\times28=1120\)
\(1120\div100=11.2\)
\(=11.20\)
Subtract from original cost:
\(28\)
\(28-11.20=16.8\)
\(=16.80\)
New price of the item is "$16.80."
Hope this helps.
House Prices
Location Price
Lakewood $241,900
Wildwood $216,650
Applewood $219,750
Seaside $240,850
Riverside $237,500
A realty company lists its properties online from the the least expensive to the most expensive.
Which list orders the properties shown on the table by price from least to greatest?
A)Wildwood, Applewood, Riverside, Seaside, Lakewood
B)Lakewood, Seaside, Riverside, Applewood, Wildwood
C)Riverside, Wildwood, Lakewood, Applewood, Seaside
D)Lakewood, Riverside, Seaside, Applewood, Wildwood
Answer:
A
Step-by-step explanation:
Wildwood: 216,650
Applewood: 219,750
Riverside: 237,500
Seaside: 240,850
Lakewood: 241,900
Answer: THE ANSWER IS A I PASTED THIS TEST ITS JUST
Step-by-step explanation:
A)Wildwood, Applewood, Riverside, Seaside, Lakewood
4 3/12 + 1 4/12 = (make sure you simplify the fraction)
Answer:
5 7/12 but it's 67/12 as an improper fraction
Step-by-step explanation:
What is the result when the number 87 is increased by 3.9%?
Answer:
90.393
Step-by-step explanation:
Answer:
"90.393"
Step-by-step explanation:
quoted from "https://percentages.calculators.ro/22-number-increased-with-percentage-of-its-value.php?number=87&percentage_increase=3.9&new_value=90.393"
Find the missing side in the similar figures below:
The missing side in the similar figure below is 42.
We are given a diagrammatic expression of two triangles and we are asked to find the missing side in a similar triangle. To be able to solve this question, we need to understand what are triangles and the possible types of triangles.
What is a Triangle?A triangle is a plane figure that has three sides and three angles. The major types of triangles include:
Right angle triangle (an angle that is 90°)Isosceles triangle (two sides of the triangle are equal)Scalene triangle ( no sides are equal)The example of the triangle given is a right-angle triangle and can be solved by using the Pythagoras theorem.
The Pythagoras theorem states that the hypotenuse squared is equal to the sum of the opposite squared and the adjacent squared.
hyp² = opp² + adj²
48² = x² + 24²
2304 = x² + 576
x² = 2304 - 576
x² = 1728
x = √1728
x = 41.57
x ≅ 42
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During the cold winter months, a sheet of ice covers a lake near the Arctic Circle. At the
beginning despring, the ice starts to melt.
3
The variable s models the ice sheet's thickness (in meters) t weeks after the beginning of spring.
8 = -0.25t+4
By how much does the ice sheet's thickness decrease every 6 weeks?
The sheet decreased by 1.5 meters and is now at 2.5 meters.
How to illustrate the equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
In this case, s=−0.25t + 4 represents the thickness of the ice over t weeks. To find the thickness at 6 weeks, substitute t=6.
s = -0.25(6)+4
s = 2.5 meters
It started at t= 0 at 4 meters. So it decreased by (4 - 2.5) = 1.5 meters.
The start of spring has 4 meters because when t= 0, s= -0.25(0)+4 = 4
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During the cold winter months, a sheet of ice covers a lake near the Arctic Circle. At the beginning of spring, the ice starts to melt.
The variable s models the ice sheet's thickness (in meters) t
weeks after the beginning of spring.
s=−0.25t+4s=-0.25t+4
s=−0.25t+4
By how much does the ice sheet's thickness decrease every 6 weeks?
Graph the point on the graph.
Answer:
see below
Step-by-step explanation:
To graph this equation, start at the origin (0,0) since there is not y-intercept.
Because slope is characterized by rise/run ( i.e. how many units up or down depending on whether it is positive or negative and then however many units to the right.
Because the rise (up and down, numerator) is 1, we know that we will go up one unit.
The run (side to side, denominator) is 4, so we will go to the right 4 units.
This makes the first point (4, 1).
Continue doing this until you get an idea of the line and connect the points to get the graph
Answer:
Info down in Explaination
Step-by-step explanation:
To graph this equation, start at the origin (0,0) since there is not y-intercept.
Because slope is characterized by rise/run ( i.e. how many units up or down depending on whether it is positive or negative and then however many units to the right.
Because the rise (up and down, numerator) is 1, we know that we will go up one unit.
The run (side to side, denominator) is 4, so we will go to the right 4 units.
This makes the first point (4, 1).
Continue doing this until you get an idea of the line and connect the points to get the graph
12 cm
4 cm
4 cm
Find the volume of the rectangular prism
Answer:
192cm³
Step-by-step explanation:
12cm * 4cm * 4cm
width times length times height
shopkeeper sells one machine for 990 re at a profit of 10% and another machine for 1960 at a loss of 2%
Complete question :
shopkeeper sells one machine for 990 re at a profit of 10% and another machine for 1960 at a loss of 2%. What is his gain or loss percent
Answer:
1.72%
Step-by-step explanation:
Given that :
MACHINE 1:
Sales price = 990
Profit percent = 10%
The cost price of the machine (x) :
10% profit of x :
(100 + 10)% of x = 990
110% of x = 990
1.1x = 990
x = 990/1.1
x = 900
MACHINE 2:
Sales price = 1960
Loss on sale = 2%
Cost price (x) :
(100 - 2)% of x = 1960
98% x = 1960
0.98x = 1960
x = 1960/0.98
x = 2000
Total amount realized from sale = (990 + 1960) = 2950
Total cost of production = (2000 + 900) = 2900
Profit Made = (2950 - 2900) = 50
% profit:
(Profit / cost of production) * 100
(50 / 2900) * 100%
0.0172413 * 100%
profit % = 1.72
The profit made is 50
Cost price of first machine will be:
= 100/(100 + 10) × 990
= 100/110 × 990
= 100 × 9
= 900
Cost price for second machine will be:
= (100 - 2) × x = 1960
= 98% × x = 1960
= 0.98x = 1960
x = 1960/0.98.
x = 2000
The total cost price = 900 + 2000 = 2900
Total selling price = 990 + 1960 = 2950
Therefore, profit will be:
= Selling price - Cost price .
= 2950 - 2900
= 50
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