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kozerog [31]
3 years ago
6

Alvin has 25 coins that values $4.00, some are quarters and some are dimes. What is the ratio of the numbers of dimes to the num

ber of quarters.

Mathematics
2 answers:
NemiM [27]3 years ago
7 0

Since .25*10 is 2.50 and .10*15 is 1.50 it equals $4. So the ratio is 10:15 which turns to 2:3 ratio simplified.

Zarrin [17]3 years ago
7 0

Let x = # of quarters // Let y = the # of dimes

25x + 10y = 400

x + y = 25

Using these two equations, we can make a system to solve. The formatting on Brainly makes it hard to write on here, so I'll just handwrite it.

Basically, the answer is 3:2.

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Step-by-step explanation:

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8 0
3 years ago
A teacher keeps track of how many books are read by students in each class. Which grade has read has read a higher rate hook per
12345 [234]
For the answer to the question above asking h<span>ow many more book does the other grade need to read to have the same rate?
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6 0
3 years ago
Read 2 more answers
Please choose answer choice a,b,c or d
dmitriy555 [2]

Answer:

A. -4

Step-by-step explanation:

Slope is rise over run, or y2-y1 / x2-x1.

\frac{y2-y1}{x2-x1} = \frac{-4-8}{2--1} =\frac{-12}{3} = -4

<u>The slope is A. -4.</u>

Let's see--does that make sense? A slope of four would be pretty steep, and that matches the graph. It also should be negative because the line goes down and to the right, not up and to the right, so -4 makes sense!

4 0
3 years ago
Use Hooke's Law to determine the work done by the variable force in the spring problem. A force of 450 newtons stretches a sprin
vlada-n [284]

Answer:

The work done is 202.50Nm

Step-by-step explanation:

Given

F =450N

x_1 = 30cm

x_2 = 60cm

Required

The work done

First, we calculate the spring constant (k)

F = kx_1

450N = k *30cm

k = \frac{450N}{30cm}

k =15N/cm

So:

F = kx_1

F(x) = 15x

The work done using Hooke's law is:

W =\int\limits^a_b {F(x)} \, dx

This gives:

W =\int\limits^{60}_{30} {15x} \, dx

Rewrite as:

W =15\int\limits^{60}_{30} {x} \, dx

Integrate

W =15 \frac{x^2}{2}|\limits^{60}_{30}

This gives:

W =15 *\frac{60^2 - 30^2}{2}

W =15 *\frac{2700}{2}

W =15 *1350

W =20250N-cm

Convert to Nm

W =\frac{20250Nm}{100}

W =202.50Nm

7 0
3 years ago
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