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emmasim [6.3K]
3 years ago
11

Explain the difference between a rate, a ratio, and a proportion?

Mathematics
1 answer:
kaheart [24]3 years ago
3 0

Answer:

A proportion is an equality of two ratios.

Example : \frac{1}{3} = \frac{x}{9}

​

We write proportions to help us find equivalent ratios and solve for unknown quantities.

A rate is the quotient of a ratio where the quantities have different units.

Example : \frac{distance}{time}

A ratio is a comparison of two quantities.

Example : 1 : 3 or \frac{1}{3}

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Step-by-step explanation:

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The value of y is directly proportional to the value of x.
Paladinen [302]

Answer:

a) find the value of y when x is equal to 4.

Step-by-step explanation:

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2 years ago
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Simplify (4x– 4)– 3<br><br><br> A. -1/2x^4<br><br> B. -8x^12<br><br> C. -64x^9<br><br> D. x^12/64
marysya [2.9K]
Use:(a\cdot b)^n=a^n\cdot b^n\\\\(a^n)^m=a^{n\cdot m}\\\\a^{-n}=\dfrac{1}{a^n}\\\\\left(4x^{-4}\right)^{-3}=4^{-3}(x^{-4})^{-3}=\dfrac{1}{4^3}x^{-4\cdot(-3)}\\\\=\dfrac{1}{64}x^{12}=\boxed{\frac{x^{12}}{64}}

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3 0
3 years ago
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Find QN. Please show all the work on how you got your answer
Effectus [21]

QN = 28

Solution:

Given MNPQ is a parallelogram.

QT = 4x + 6 and TN = 5x + 4

To find the length of QN:

Let us solve it using the property of parallelogram.

Property of Parallelogram:

Diagonals of the parallelogram bisect each other.

Therefore, QT = TN

⇒ 4x + 6 = 5x + 4

Arrange like terms together.

⇒ 6 – 4 = 5x – 4x

⇒ 2 = x

⇒ x = 2

Substitute x = 2 in QT and TN

QT = 4(2) + 6 = 14

TN = 5(2) + 4 = 14

QN = QT + TN

      = 14 + 14

QN = 28

The length of QN is 28.

3 0
3 years ago
Toothbrushes are $4.00 each. there is a 10% discount but also 6% sales tax. What is the new price?
Katena32 [7]
Multiply 4 by 10%.
10% ⇒ 0.1

4 × 0.1 = 0.4
Subtract 0.4 from 4.
4 - 0.4 = 3.6 (price with discount)

Multiply 3.6 by 6%.
6% ⇒ 0.06
3.6 × 0.06 = 0.216

Add 0.216 to 3.6.
0.216 + 3.6 = 3.816

Round 3.816 to the hundredths.
3.816 ⇒ 3.82 (price with tax)

The new price of toothbrushes is $3.82.
6 0
3 years ago
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