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seraphim [82]
3 years ago
14

The perimeter of a rectangle id 192 ft. The ratio of its length to its width is 7:5. What are the dimensions of the rectangle?

Mathematics
1 answer:
kotykmax [81]3 years ago
7 0
<h3>Answer:</h3>

56 ft by 40 ft

<h3>Explanation:</h3>

If we let x represent the multiplier for the ratio, then the perimeter is ...

... 2 × (7x +5x) = 24x = 192 ft.

Dividing by 24 gives

... x = 8 ft.

The dimensions are 7 and 5 times this multiplier, or ...

... 7×8 ft = 56 ft . . . . by . . . .  5×8 ft = 40 ft

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3x + 4y = 14 x = 2y - 12 cordanit plane
BabaBlast [244]

Answer:

(- 2, 5 )

Step-by-step explanation:

Given the 2 equations

3x + 4y = 14 → (1)

x = 2y - 12 → (2)

Substitute x = 2y - 12 into (1)

3(2y - 12) + 4y = 14 ← distribute and simplify left side

6y - 36 + 4y = 14

10y - 36 = 14 ( add 36 to both sides )

10y = 50 ( divide both sides by 10 )

y = 5

Substitute y = 5 into (2) for corresponding value of x

x = 2(5) - 12 = 10 - 12 = - 2

Solution is (- 2, 5 )

8 0
2 years ago
Caleb purchases 5 beach towels for d dollars each. Each towel is charged an additional 6% sales tax.
Assoli18 [71]
The correct expressions are:
5.3d
5d+0.3d
5(d+0.06d)

Since he is purchasing 5 towels that have a cost of d dollars each, the cost of the towels is given by 5d.

However, to add 6% tax, we multiply this by 0.06 and add it to the price without tax:
5d+0.06(5d)

Simplifying this, we have 5d+0.3d = 5.3d.

All of the correct answers simplify to this expression.
6 0
3 years ago
Please answer this correctly
MrMuchimi

Answer:

11 pt

Step-by-step explanation:

There are 2 pints in one quart. This means that there are 10 pints in 5 quarts, plus 1 would be 11.

3 0
2 years ago
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likoan [24]

Answer:

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Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Give me a correct answer, My answer probably wrong.
Georgia [21]

Hello!

This is a problem about the general solution of a differential equation.

What we can first do here is separate the variables so that we have the same variable for each side (ex. dy with the y term and dx with the x term).

\frac{dy}{dx}=\frac{x-1}{3y^2}

3y^2dy=x-1dx

Then, we can integrate using the power rule to get rid of the differentiating terms, remember to add the constant of integration, C, to at least one side of the resulting equation.

y^3=\frac{1}{2}x^2-x+C

Then here, we just solve for y and we have our general solution.

y=\sqrt[3]{\frac{1}{2}x^2-x+C}

We can see that answer choice D has an equivalent equation, so answer choice D is the correct answer.

Hope this helps!

3 0
2 years ago
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