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daser333 [38]
3 years ago
7

The amount of money raised at a school fundraiser is directly proportional to the number of people who attend. Last year the amo

unt of money raised for 100 attendees was $2500. How much money will be raised is 875 people attend this year?
Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
5 0

Answer:

Amount of money raised for 875 people=A=$21,875

Step-by-step explanation:

This can be expression in the equation, A=k.N;

Where;

A=Amount of money raised=$2500

k=Constant of proportionality(Amount of money per attendee)

N=Number of attendees=100

Replacing in the expression;

Amount of money raised=K×Number of people who attend

2500=K×100

K=(2500/100)=25

Amount of money per attendee=K=$25 per attendee

How much money was raised for 875 people?

Using the expression, A=k.N

where;

Number of people (N)=875

k=25

Replacing;

A=(25×875)=$21,875

Amount of money raised for 875 people=A=$21,875

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Y x1 x2
LenKa [72]

Answer:

ŷ = 0.964X1 - 0.336X2 + 13.066

b1 = 0.964 which is the unit change in the value of y when x1 changes.

b2 = - 0.336 which is the unit change in the value of y when x2 changes

Step-by-step explanation:

Y

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X1

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The general form of a multiple regression equation is in form:

ŷ = b1x1 + b2x2 + c

Where,

ŷ = predicted or dependent variable

b1 and b2 = slope or gradient Coefficient for the independent or predictor variables x1 and X2 respectively.

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Using the online multiple regression calculator, the model obtained by Inputting the values is written below:

ŷ = 0.964X1 - 0.336X2 + 13.066

Value of b1 = 0.964 which is the unit change in the value of y when x1 changes.

Value b2 = - 0.336 which is the unit change in the value of y when x2 changes

7 0
3 years ago
One of the acute angles in a right triangle is 89. What is the measure of the other acute angle?
yuradex [85]

Answer: The other acute angle is 1 degree

Step-by-step explanation:

Since a triangle must add up to 180 degrees, and it's specifically a right triangle, you know that one other angle is 90 degrees. Since you have 89, and 90, all you have to do is simply add them together, which gives you 179. This means the remaining angle must be at 1 degree.

Hope this helps!

3 0
3 years ago
Ginny's piggybank contained $8.80 in quarters, dimes, and nickels. there were two more than five times as many nickels as quarte
SSSSS [86.1K]

Answer:

There are 13 quarters, 67 nickels, and 22 dimes.


Step-by-step explanation:

The value of a quarter is $0.25, the value of dime is $0.10, and the value of a nickel is $0.05. Let there be q quarters, n nickels, and d dimes.

Let's write equations from the statements given:


<u>"Ginny's piggybank contained $8.80 in quarters, dimes, and nickels.":</u>

0.25q+0.1d+0.05n=8.80

<u>"there were two more than five times as many nickels as quarters":</u>

5q+2=n

<u>"4 less than twice as many dimes as quarters":</u>

<u>2q-4=d</u>


Plugging in equation 2 and 3 into equation 1, we can solve for q:

0.25q+0.1(2q-4)+0.05(5q+2)=8.80\\0.25q+0.2q-0.4+0.25q+0.1=8.80\\0.7q=8.80+0.4-0.1\\0.7q=9.1\\q=\frac{9.1}{0.7}=13

<em>Substituting q = 13 into equation 2 will give us nickels:</em>

n=5q+2\\n=5(13)+2\\n=67

<em>Substituting q = 13 into equation 3 will give us dimes:</em>

d=2q-4\\d=2(13)-4\\d=22


There are 13 quarters, 67 nickels, and 22 dimes.

4 0
3 years ago
Tarantulas are one of the largest spiders on Earth. A
nlexa [21]
Tarantulas are 5.9 centimeters longer.
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2 years ago
Use the given diagram to answer the question.
Kaylis [27]

Answer:

1.X

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Step-by-step explanation:

8 0
3 years ago
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