All categories

3 years ago

The World Issues club has decided to donate 60% of all their fundraising activities this year to Stephen Lewis

Mathematics

1 answer:

andreyandreev [35.5K]3 years ago

5 0

Answer:

a. Let the variable be $x$ for the fundraising activities and $M$ as the revenue for foundation.

b. $M =0.60x$

c. $43.2

d. $1416.67

Step-by-step explanation:

Given that:

The World Issues club donates 60% of the total of their fundraising activities.

Answer a.

Let us choose the variable $x$ to represent the money earned during fundraising activities and $M$ for the revenue generated for foundation.

Answer b.

Foundation will receive 60% of the total of the fundraising activities.

Equation to determine the money that will be received by foundation:

$M = 60\%\ of\ x\\OR\\M = 0.6x$

Answer c.

Given that x = $72, M = ?

Putting the value of x in the equation above:

$M = 0.6 \times 72\\\Rightarrow \$43.2$

Answer d.

Given that M = $850, x = ?

Putting the value of M in the equation above to find x:

$850= 0.6 \times x\\\Rightarrow x = \dfrac{850}{0.6}\\\Rightarrow x = \$ 1416.67$

So, the answers are:

a. Let the variable be $x$ for the fundraising activities and $M$ as the revenue for foundation.

b. $M =0.60x$

c. $43.2

d. $1416.67

You might be interested in

A cylinder has diameter of 4ft and a height of 9ft. Explain whether halving the diameter has the same effect on the surface area

elena55 [62]

Answer:

See Below

Step-by-step explanation:

The surface area of cylinder is given by the formula:

$SA=2\pi r^2 + 2\pi r h$

Where

r is radius ( diameter is 4, so radius is 4/2 = 2)

h is height ( h = 9)

Lets find original surface are:

$SA=2\pi r^2 + 2\pi r h\\SA=2\pi (2)^2 + 2\pi (2) (9)\\SA=8\pi +36\pi\\SA=44\pi$

Halving diameter:

diameter would be 4/2 = 2, so radius would be 2/2 = 1

So, SA would be:

$SA=2\pi r^2 + 2\pi r h\\SA=2\pi (1)^2 + 2\pi (1) (9)\\SA=2\pi +18\pi\\SA=20\pi$

Halving height:

Height is 9, halving would make it 9/2 = 4.5

Now, calculating new SA:

$SA=2\pi r^2 + 2\pi r h\\SA=2\pi (2)^2 + 2\pi (2) (4.5)\\SA=8\pi + 18\pi\\SA= 26\pi$

Original SA is $44\pi$ ,

Halving diameter makes it $20\pi$

Halving height makes it $26\pi$

So, halving diameter does not have same effect as halving height.

5 0

3 years ago

Amanda uses 9 L of water to water 24 flower pots. She is wondering how many liters of water would it take to water 40 flower pot

LUCKY_DIMON [66]

Answer:

15 L of water

Step-by-step explanation:

24 pots -------------> require 9L of water

1 pot -----------------> requires (9/24) L of water

40 pots -------------> (9/24) x 40 = 15 L of water

8 0

3 years ago

Please help and explain so I understand!!

olga_2 [115]

Answer:

x=5

Step-by-step explanation:

$4x^2-11=89$

add 11 to both sides

$4x^2=100$

Divide 4 on both sides

$x^2=25$

Take the square root of both sides to eliminate the power of two from x

$\sqrt{x^2} =\sqrt{25}$

Simplify

$x=5$

8 0

3 years ago

What is the rate of Change of the line through (1,-3) and (0,-1)

andreyandreev [35.5K]

Answer:

$m=-2$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (1, -3)

Point (0, -1)

Step 2: Find slope m

Substitute in points into the slope formula to find rate of change

Substitute [SF]: $m=\frac{-1+3}{0-1}$
Add/Subtract: $m=\frac{2}{-1}$
Divide: $m=-2$

7 0

3 years ago

Mastery challenge

kolezko [41]

The complete question is;

Below are last week's revenues (in thousands of dollars) for six different Nancy's Noodles locations. 6, 6.8,3.7,8.1,6.6,7

Find the median revenue.

Answer:

Median = 6.7 thousand dollars

Step-by-step explanation:

From the question, the 6 revenues in thousands of dollars are;

6, 6.8, 3.7, 8.1, 6.6, 7

To find the median, we need to arrange the terms in ascending order.

Thus, we have;

3.7, 6, 6.6, 6.8, 7, 8.1

Since the number of terms are 6,then the median term is (6 + 1)/2 = 7/2 = 3.5th term

To get the 3.5th term, we have to find the average of the 3rd and 4th terms in the series of revenue.

3rd term = 6.6 and 4th term = 6.8

Thus, median = (6.6 + 6.8)/2

Median = 13.4/2

Median = 6.7 thousand dollars

7 0

3 years ago