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spayn [35]
1 year ago
11

3. The teacher asked the class, "How many tenths are equivalent to 37.6?" Student 1 answered, "37 tenths." Student 2 answered, "

376 tenths." Which student is correct and why? Explain your answer.
HELP ​
Mathematics
1 answer:
Ksivusya [100]1 year ago
6 0

Using proportions, it is found that Student 2 is correct, as 37.6/0.1 = 376.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

One tenth is worth 0.1. How many tenths are there in 37.6? The division is given as follows:

37.6/0.1 = 376.

Hence student 2 is correct, as there are 376 tenths in 37.6.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

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Lana71 [14]

Again this is a simple addition problem I think.

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The safe load, L, of a wooden beam supported at both ends varies jointly as the width, w, and the square of the depth, d, and in
MakcuM [25]

Answer:

joint variation means L (safe load) is directly proportional to both w and d2

inverse proportionality means L = k/l

So the equation is:

L = k(wd2/l)

You are given:

w = 6 in

d = 5 in

l = 12 ft

L = 7666 lbs

7666 = k(6*52/12)

Solve for the constant, k.

7666 = k (6*25/12)

7666 = k (150/12)

7666 = k (12.5)

613.28 lbs/(ft.in3) = k

Use this k-value to solve for L in the last part of the question.

What safe load, L would a beam 3 in. wide, 7 in. deep and 15 ft long of the same material support? (Round off your answer to the nearest pound.)

w = 3 in

d =7 in

l = 15 ft

k = 613.28 lbs/(ft.in3)

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5 0
11 months ago
5x + 2y = 7
zvonat [6]

Answer:

(\frac{5}{7},\frac{12}{7})

Step-by-step explanation:

The given system is

5x+2y=7

y=x+1

We substitute the bottom equation into the top equation to get:

5x+2(x+1)=7

Expand to get:

5x+2x+2=7

Group similar terms:

5x+2x=7-2

Combine similar terms:

7x=5

x=\frac{5}{7}

Put x=\frac{5}{7} into the bottom equation

y=\frac{5}{7}+1

y=\frac{5+7}{7}

y=\frac{12}{7}

The solution is

(\frac{5}{7},\frac{12}{7})

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