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Valentin [98]
3 years ago
6

Mrs. Bell has 24 students. Mr. Dole has 36 students in his class. The two classes are working on the same project and so the stu

dents in each class need to be split up into equally sized groups. What is the maximum number of students that can be in each group.
Mathematics
2 answers:
Hunter-Best [27]3 years ago
6 0

Answer:

12 students per group

Step-by-step explanation:

Harlamova29_29 [7]3 years ago
4 0

Answer:

12

Step-by-step explanation:

12 x 2=24 and 12 x 3=36

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A red car is driving along the road in the direction of the police car and is 130 feet up the road from the location of the poli
pishuonlain [190]

Complete question:

A police car is located 50 feet to the side of a straight road. A red car is driving along the road in the direction of the police car and is 130 feet up the road from the location of the police car. The police radar reads that the distance between the police car and the red car is decreasing at a rate of 75 feet per second. How fast is the red car actually traveling along the road.

Answer:

The red car is traveling along the road at 80.356 ft/s

Step-by-step explanation:

Given

Police car is 50 feet side off the road

Red car is 130 feet up the road

Distance between them is decreasing at the rate of 75 feet per sec

Let x be how far the police is off the road.

Let y be how far the red car is up the road.  

Let h be the distance between the police and the red car.

This forms a right triangle so we can use the Pythagorean theorem, to solve for h

h² = x² + y²

h² = 50² + 130²

h² = 19400

h = √19400

h = 139.284 ft

Again;

Let dx/dt be how fast the police is traveling toward the road.

Let dy/dt  be how fast the red car is traveling along the road.

Let dh/dt be how fast the distance between the police and the car is decreasing.

Recall that, h² = x² + y² (now differentiate with respect to time, t)

2h(dh/dt) = 2x(dx/dt) + 2y(dy/dt)

divide through by 2

h(dh/dt) = x(dx/dt) + y(dy/dt)

since the police car is not, dx/dt = 0

and dy/dt is the how fast is the red car actually traveling along the road

139.284(75) = 50(0) + 130(dy/dt)

10446.3 = 0 + 130(dy/dt)

dy/dt = 10446.3 / 130

dy/dt = 80.356 ft/s

Therefore, the red car is traveling along the road at 80.356 ft/s

6 0
3 years ago
Suppose you invest 16000 at 9% interest and that it is compounded daily. How much will you have in 8 years?
forsale [732]

Answer:

Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one.

Step-by-step explanation:

5 0
3 years ago
Is (11,9), (11,5), (9,3) a function
Marina86 [1]

Answer:

\huge{ \boxed{ \sf{No}}}

✑ Question :

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No , it's not a function.

✎ Reason :

This is not a function because one element 11 of set A is associated to elements 9 and 5 of set B.

♨ Explore about function :

↪ Function is a special type of relation. It is the refinement of relation. In a relation from A to B , every element of set A should have only one ( distinct ) image in B to be a function. In other words , if no two different ordered pairs have the same first component , then it is a function.

Hope I helped!

Have a wonderful day ! ツ

~\sf{TheAnimeGirl} ♡

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A machine can produce 27 inches of ribbon in 3 minutes.how much ribbon can the machine produce in 1 hour produce in 1 hour?
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540 it produce in a hour
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An axiom in educlidean geometry states that in space there are at least points that do
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Answer:

a point is the answer sus

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