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Nastasia [14]
3 years ago
10

What is a unit rate?

Mathematics
2 answers:
Semmy [17]3 years ago
7 0

Answer:

The numbers or measurements being compared are called the terms of the ratio. A rate is a special ratio in which the two terms are in different units. ... When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.

Step-by-step explanation:

sergeinik [125]3 years ago
5 0

Answer:

Unit rate is used to compare quantities in which the second quantity is one. Common examples of unit rate would include, miles per hour earnings per hour cost per gallon.

Step-by-step explanation:

It's also your rise over run, remember to look at the unit of measurement when counting. Example, If rise over run is 1Mile/15min. That's a unit rate.

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A rectangle has a width one less than the length. If the perimeter is 30 units find the width and length
Olegator [25]

Answer:

7 units by 8 units

Step-by-step explanation:

ALL POSSIBLE PERIMETERS:

1x14

2x13

3x12

4x11

5x10

6x9

7x8

5 0
3 years ago
(8p - 2) (6p+2) <br><br> help plz
qaws [65]

Answer:

48p^2+2p-4

Step-by-step explanation:

We can use the FOIL method to expand two multiplied binomials. It states that (a+b)(c+d)=ac+bc+ac+bd. The FOIL method stands for First(first terms) outer(outer terms) inner(inner terms) last(last terms).

So, we can expand our binomials now!

(8p-2)(6p+2)=(8p)(6p)-2(6p)+(8p)(2)-2(2)=48p^2-12p+14p-4=\boxed{48p^2+2p-4}

8 0
2 years ago
Heights of male students in the eighth grade are normally distributed with a mean of 57.2 in. and standard deviation of 2.4 in.
romanna [79]
<span>In statistics finding percentiles relates to the standard deviation and something called a z-score. For normally distributed data the z-score represents how many standard deviations above or below the mean that group is a part of. The z-score for normally distributed data for the 90th percentile is 1.28. The standard deviation is then multiplied by the z-score to find, in this case, the shotlrtest height needed to be in the 90th percentile of this population. In this case to be in the 90th percentile your height must be 60.27 inches.</span>
3 0
3 years ago
Which subtraction expression
Bond [772]
If you would like to know which subtraction expression has the difference 1 + 4i, you can calculate this using the following steps:

a. (–2 + 6i) – (1 – 2i) = –2 + 6i – 1 + 2i =  –3 + 8i

b. (–2 + 6i) – (–1 – 2i) = <span>–2 + 6i + 1 + 2i =  </span>–1 + 8i

c. (3 + 5i) – (2 – i) = 3 + 5i – 2 + i = 1 + 6i

d. (3 + 5i) – (2 + i) = 3 + 5i – 2 – i = 1 + 4i

The correct result would be <span>d. (3 + 5i) – (2 + i).</span>
5 0
3 years ago
Read 2 more answers
Prove the divisibility:<br><br>45^45·15^15 by 75^30
garri49 [273]

Answer:

3^{75}.

Step-by-step explanation:

We have been an division problem: \frac{45^{45}*15^{15}}{75^{30}}.

We will simplify our division problem using rules of exponents.

Using product rule of exponents (a*b)^n=a^n*b^n we can write:

45^{45}=(9*5)^{45}=9^{45}*5^{45}

15^{15}=(3*5)^{15}=3^{15}*5^{15}

75^{30}=(15*5)^{30}=15^{30}*5^{30}

Substituting these values in our division problem we will get,

\frac{9^{45}*5^{45}*3^{15}*5^{15}}{15^{30}*5^{30}}

Using power rule of exponents a^n*a^m=a^{n+m} we will get,

\frac{9^{45}*5^{(45+15)}*3^{15}}{15^{30}*5^{30}}

\frac{9^{45}*5^{60}*3^{15}}{15^{30}*5^{30}}

Using product rule of exponents (a*b)^n=a^n*b^n we will get,

\frac{(3*3)^{45}*5^{60}*3^{15}}{(3*5)^{30}*5^{30}}

\frac{3^{45}*3^{45}*5^{60}*3^{15}}{3^{30}*5^{30}*5^{30}}

Using power rule of exponents a^n*a^m=a^{n+m} we will get,

\frac{3^{(45+45+15)}*5^{60}}{3^{30}*5^{(30+30)}}

\frac{3^{105}*5^{60}}{3^{30}*5^{60}}

\frac{3^{105}}{3^{30}}

Using quotient rule of exponent \frac{a^m}{a^n}=a^{m-n} we will get,

\frac{3^{105}}{3^{30}}=3^{105-30}

3^{105-30}=3^{75}

Therefore, our resulting quotient will be 3^{75}.

7 0
3 years ago
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