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2 years ago

Desiree went bowling. It was $4 to rent the shoes and $3.25 per game. If she spent a total of $30 how many games did she bowl?

Mathematics

1 answer:

AlexFokin [52]2 years ago

3 0

Answer:

3.25x + 4 = 30

3.25x = 30-4

3.25x = 26

x= 26/3.25

x = 8 Games

She played 8 games

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A population of mice is increasing exponentially. On Monday there were 120 most. One month later there were 132 most. Ready func

djyliett [7]

Answer:

$y=120 * 1.1^x$ --- function

The monthly rate is 10%

Step-by-step explanation:

Given

Let

$x \to months$

$y \to mice$

So, we have:

$(x_1,y_1) = (0,120)$ --- Monday

$(x_2,y_2) = (1,132)$ --- One month later

Required

The function

The function is represented as:

$y=ab^x$

In $(x_1,y_1) = (0,120)$ , we have:

$120 = a * b^0$

$120 = a * 1$

$120 = a$

$a=120$

In $(x_2,y_2) = (1,132)$ , we have:

$132 = a * b^1$

$132 = a * b$

Substitute: $a=120$

$132 = 120 * b$

Solve for b

$b = \frac{132}{120}$

$b = 1.1$

So, the function is:

$y=ab^x$

$y=120 * 1.1^x$

To calculate the monthly rate (r), we have:

$y =a(1 + r)^x$

Compare to: $y =ab^x$

$1 + r = b$

Make r the subject

$r = b-1$

Substitute $b = 1.1$

$r = 1.1-1$

$r = 0.1$

Express as percentage

$r = 0.1*100\%$

$r = 10\%$

5 0

2 years ago

A barrel of oil was filled at a constant rate of 7.5 gal/min. the barrel had 10 gallons before filling began. write an equation

Xelga [282]

Assuming that :

- The number of the gallons is symbolized by g
- Time per minute is symbolized by t

the equation would be :

g = 10 + 7.5 t

Hope this helps

5 0

2 years ago

True or False?<br><br> (–3)^22 is greater than (–2)^33

puteri [66]

Answer:

true

Step-by-step explanation:

(-3)^22 -> to the power of an even number -> answer is positive

(-2)^33 -> to the power of an odd number -> answer is negative

positive # > negative #

7 0

1 year ago

Read 2 more answers

The measure of an angle is seventy-one times the measure of its supplementary angle. What is the measure of each angle?

Degger [83]

Answer:

2 degrees and 178 degrees.

Step-by-step explanation:

So, remember if 2 angles are supplementary, they equal 180 degrees. Let's call the smaller angle x, meaning the bigger angle, which is 89 times the size of the smaller angle, would be 89x. Now let's put that into an equation.

180 = x + 89x

We now have to group the x's together:

180 = 90x

Now in order to determine x, we have to divide by 90 on both sides.

X= 2

So we know that the smaller angle is 2, meaning that if the larger angle is 89 times the size, the larger angle would be 178.

4 0

3 years ago

Points E, D, and H are the midpoints of the sides of ΔTUV. UV=56, TV=72, and HD=56. Find HE.

natita [175]

We need a diagram to do this

5 0

3 years ago