A gear in a machine turns 2 1/2 times every hour. How many turns does the gear make in 2 1/4 hours?
Express your answer in simplest terms.

A. 4 1/4

B. 4 1/8

C. 5 5/8

D. 6 1/4

Answers

Answer 1

Answer: we can solve this by multiplying those two numbers but we place them in improper fraction.

2 1/2 x 2 1/4
becomes
5/2 x 9/4

for fraction multiplication, just multiply numerator by numerator and denominator by denominator

5/2 x 9/4 = 45/8

we can simplify this into mixed fraction while numbers in whole numbers and remainder in numerator

5 5/8 is the answer

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Gepetto, a puppet maker, can produce 15 new puppets per week. He already has 25 completely finished puppets in storage. We want to write an equation to model the relationship between the number of puppets available for sale and the number of weeks. a) What is the slope of your model? (Hint: you are looking for a rate!) b) What is the y-intercept of your model? (Hint: this is also sometimes called the “starting value.”) c) Write an equation in slope-intercept form expressing the relationship between the number of puppets available for sale and the number of weeks. Make sure to define your variables! d) Use your equation to predict how many puppets would be available for sale after seven weeks. e) Use your equation to determine how many weeks it would take Gepetto to fulfill an order for 220 puppets.

Answers

a) The slope of the model is 15.

b) The y-intercept of the model is 25.

c) p = 15w + 25, where p is puppets and w is weeks

d) After seven weeks, there would be 130 puppets available for sale.

e) It would take Gepetto 13 weeks to fulfill an order for 220 puppets.

What is the slope of your model?

The slope of the model shows how quickly the number of puppets for sale changes over time. In this situation, Gepetto makes 15 new puppets every week, so the slope is 15.

The y-intercept of the model shows how many puppets Gepetto already has in storage at the beginning. In this situation, he has made 25 puppets that are fully done, so the starting point on the graph is at 25.

The equation in slope-intercept form included the slope and the starting point on the y-axis.

Read more about slope of the model here:

brainly.com/question/3493733

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Answer:

a) 15

b) 25

c) p = 15w + 25, where p is puppets and w is weeks

Step-by-step explanation:

a) Gepetto makes 15 puppets a week, so as the weeks increase by 1, puppets increases by 15, making the slope 15

b) Gepetto started out with 25 puppets. This means that when x = 0 (0 weeks), there will be 25 puppets already

c) The slope and y-intercept were incorporated into an equation in slope-intercept form.

The perimeter of a rectangular parking lot is 298 m. If the length of the parking lot is 92m, what is its width?____

Answers

To find the width of the rectangular parking lot, we can use the formula for the perimeter of a rectangle:

Perimeter = 2 * (Length + Width)

Given that the length of the parking lot is 92 meters and the perimeter is 298 meters, we can substitute these values into the formula:

298 = 2 * (92 + Width)

Let's solve this equation for the width:

298 = 2 * 92 + 2 * Width

298 = 184 + 2 * Width

298 - 184 = 2 * Width

114 = 2 * Width

Width = 114 / 2

Width = 57

Therefore, the width of the rectangular parking lot is 57 meters.

Two numbers are multiplied and the product is negative. If one number is positive, what is true of the other number?it is negative
it is positive
it is 0
it could be positive or negative

Answers

negative
+x+=+
+x-=-
-x-=+

Answer:

it is negative

Step-by-step explanation:

Caleb's mother said they will drive 1 /4 hour to get there, and they will drive another 1 /4 hour back. Once they arrive, Caleb's brother will be playing in 3 soccer games. Each soccer game takes 3 4 hour, and there is no break in between games. Calculate how long will they be away from home.

Answers

Answer: They are away for $2(3)/(4)\ hours$ from home.

Step-by-step explanation:

Since we have given that

Time to get there = $(1)/(4)$

Time to get back = $(1)/(4)$

Number of soccer games = 3

Time for each soccer games = $(3)/(4)$

So, total time for 3 games would be

$3* (3)/(4)=(9)/(4)$

So, the time for which they will be away from home is given by

$(1)/(4)+(9)/(4)+\frac{1}4}=(1+9+1)/(4)=(11)/(4)=2(3)/(4)\ hours$

Hence, they are away for $2(3)/(4)\ hours$ from home.

Contemporary American building bricks are rectangular blocks with the standard dimensions of about 5.7 cm by 9.5 cm by 20.3 cm.What is the volume to the nearest tenth of a unit.