MATHEMATICS HIGH SCHOOL

A school basketball team spent 44% of its fundraiser earnings to purchase new uniforms. What fraction of the fundraiser earnings was spent on new uniforms?

Answers

Answer 1

Answer:

Answer:

11/25 of the earnings were spent on new uniforms.

Step-by-step explanation:

Hope this helps! :)

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The sum of the age of two sisters is 20 years. If the one of them is 4 years younger than other , find their age.

Answers

Hello!

Answer:

$\Large \boxed{\sf 12yo~ and ~8yo}$

Step-by-step explanation:

→ We want to find the age of each sister.

→ Let the age of the elder sister be x years.

→ So we know that:

The age of the elder sister = x
The age of the the youngest sister = x - 4
The sum of the age of two sisters = 20

→ So we have this equation:

$\sf x + x-4=20$

→ Let's solve the equation to find the age of the sisters:

◼ Simplify the left side:

$\sf 2x-4=20$

◼ Add 4 to both sides:

$\sf 2x-4+4=20+4$

◼ Simplify both sides:

$\sf 2x=24$

◼ Divide both sides by 2:

$\sf (2x)/(2) =(24)/(2)$

◼ Simplify both sides:

$\boxed{\sf x = 12 }$

→ So now, we know that:

The age of the elder sister = 12
The age of the the youngest sister = 12 - 4 = 8

Check:

"The sum of the age of two sisters is 20":

$\sf 12 + 8 = 20$

✔ So the check is good.

Conclusion:

The elder sister has 12 years old and the youngest sister has 8 years old.

Answer:
Older sister:12 years old

Youger sister:8 years old

Step-by-step explanation:

I will be using the model method (boxes)as it will show a clearer view of the question.

A manufacturer of widgets finds that the production cost, What is the selling price per widget as a function of theC, in dollars per unit is a function of the number of number of widgets produced, and what should the
widgets produced. The selling price, S, of each widget in selling price be if 15 widgets are produced?
dollars is a function of the production cost per unit
C(x) = -0.1x2 + 100
O C(S(x)) = -0.196x2 + 100, $108.64
S(C) = 1.40
O C(S(x) = -0.196x2 + 100; $55.90
O S(C(x)) = -0.14x2 + 140; $144.41
O S(C(x)) = -0.14x2 + 140, $108.50

Answers

Answer:

S(C(x)) = –0.14x2 + 140; $108.50

Step-by-step explanation:

did the assignment

Answer:

D

S(C(x)) = -0.14x2 + 140, $108.50

Which expression can be used to convert 22 Australian dollars to US dollars assume 1.2 Australian dollar equals to US dollars

Answers

1 USD = 1.2 AUD, therefore you get the AUD if you multiply the USD by 1.2. You need the other way around, so AUD/1.2 = USD.

What is the exact value of the trigonometric ratio of tan-240 degrees?

Answers

Tan240=1.732050808
Tan^-1(240)=89.76126897

The Martin family is considering building a new house. On the blueprints, the dimensions of the outside of the house are 18 inches wide by 26 inches long. If the house is actually going to be 45 feet wide, what will the actual length of the house be?

Answers

This can be answered through simple ratio and proportion

Let x = width

y = height

x/y = x2/y2 = x3/y3

since

for 18 inches width we have 26 inches as length, therefore

18/26 = 45/y2

y2 = 65 ft

there is no need to convert the units for the smaller dimensions since we are dealing with definite ratios thus unitless.

What is the equation of a vertical line passing through the point (-4, 7)?

Answers

Answer:

x=-4

Step-by-step explanation:

Since we know that the equation will be x= we will just have to take the x value of the coordinate point and that would be the x so in this case the x is -4 so the equation would be x=-4

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The formula for height, in feet of a projectile under the influence of gravity is given by h=-16t^2+vt+s, where t is the time in seconds, v is the upward velocity at the start, and s is the starting height. Marvin throws a baseball straight up into the air at 70 feet per second. The ball leaves his hand at a height of 5 feet. When does the ball reach a height of 75 feet?

Please help with the picture puzzle

Find the volume of the triangular prism shown in the diagram. The unlabeled point is F (0,0,1) . Outline your steps to explain the process you used.