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2 years ago

Write 144 students in six classes as a unit rate show work

1 answer:

6 0

Divide the total number of students by the number of classes into which they're, well, divided.
144 students/6 classes
This comes out to be 24, so you have
24 students/1 class, or 24 students per class

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1.Simplify 5 to the 5th over 5 to the 8th.

timurjin [86]

Q1. The answer is 1 over 5 to the 3rd power.

5 to the 5th is 5⁵
5 to the 8th is 5⁸
5 to the 5th over 5 to the 8th is $\frac{ 5^{5} }{ 5^{8} }$
To simplify, we will use two rules:
$\frac{ x^{a}}{ x^{b} } = x^{a-b} \\ x^{-a} = \frac{1}{ x^{a}}$
Therefore:
$\frac{ 5^{5} }{ 5^{8} } = 5^{5-8} =5^{-3}= \frac{1}{5^{3}}$
$\frac{1}{5^{3}}$ is the same as 1 over 5 to the 3rd power.

Q2. The answer is (53)−4.

The exponents are multiplied when are expressed in the form:
 $(x^{a}) ^{b}= x^{a*b}$
So, $(5^{3} )^{-4}=5^{3*(-4)}=5^{-12}$

Other choices are incorrect:
one third to the 4th times one third to the 7th is $( \frac{1}{3} )^{4} *( \frac{1}{3} )^{7}=( \frac{1}{3} )^{4+7}$
3 to the 7th over 3 to the 15th is $\frac{ 3^{7} }{3^{15}} =3^{7-15}$
45 ⋅ 42 is $4^{5}* 4^{2} = 4^{5+2}$

3 0

2 years ago

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Please provide an explanation...! I need help :(

Nonamiya [84]

first have to subtract

$7.0kg - 12m$

8 0

3 years ago

The equation C(l) = l3 – l2 + l + 2.5 models the cost to mail a package as a function of its length. To the nearest quarter inch

Anettt [7]

Answer:

Step-by-step explanation:

Set the cost equation C(l) = l3 – l2 + l + 2.5 equal to $11.00 and solve for l:

C(l) = 2l + 2.5 = $11, or

2l = 8.5, or l = length = 4.25 inches

6 0

2 years ago

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The slope of the line passing through the points (6, 2) and (7, 3) is 3/5 1 -1

Softa [21]

The slope of the line passing through the points (6, 2) and (7, 3) is

$\large\begin{array}{I} \mathtt{ slope= \dfrac{3-2}{7-6}=1} } \end{array}$

7 0

2 years ago

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Zachary is solving the following equation.

Monica [59]

Answer: C. Distribute 3/4 over (x-8)

Step-by-step explanation:

To solve any(technically most, but still...) algebraic equation you must isolate the variable. In this case, the first step would either be to divide both sides of the equation by 3/4, or distribute 3/4 to x and -8, as you cannot modify the contents of the parenthesis without removing the 3/4.

Hope it helps and lmk if you further explanation <3 :)

5 0

3 years ago

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