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kotegsom [21]
3 years ago
10

After working for 6 hours, Kevin earned $51.00. What is Kevin’s unit rate?

Mathematics
1 answer:
mina [271]3 years ago
7 0
Kevin’s unit rate is $8.50/hr
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The volume of a rectangular prism can be computed using the formula V = lwh.
olganol [36]

Answer:

13cm

Step-by-step explanation:

substitute values we have into the formula:

1664 = 16 x w x 8

rearrange:

1664/16×8 = w

which equals 13

3 0
2 years ago
Read 2 more answers
4,6,9,...<br> Find the 8th term.<br> Find the 8th term.
krek1111 [17]

Answer:

4, 6, 9, 12, 15, 18, 21, <u><em>24.</em></u>

Step-by-step explanation:

The 8th term is 24.

just +2 (add 2) every time.

3 0
2 years ago
Solve<br><img src="https://tex.z-dn.net/?f=%5Csf%20%5Cdfrac%7B1%7D%7Bp%7D%20%2B%20%5Cdfrac%7B1%7D%7Bq%7D%20%2B%20%5Cdfrac%7B1%7D
Nostrana [21]

Answer:

\displaystyle   \begin{cases} \displaystyle  {x} _{1} =  - p \\   \displaystyle x _{2}   =  -  q \end{cases}

Step-by-step explanation:

we would like to solve the following equation for x:

\displaystyle  \frac{1}{p}  +  \frac{1}{q}  +  \frac{1}{x}  =  \frac{1}{p  + q + x}

to do so isolate \frac{1}{x} to right hand side and change its sign which yields:

\displaystyle  \frac{1}{p}  +  \frac{1}{q}    =  \frac{1}{p  + q + x}  -  \frac{1}{x}

simplify Substraction:

\displaystyle  \frac{1}{p}  +  \frac{1}{q}    =  \frac{x - (q + p +  x)}{x(p  + q + x)}

get rid of only x:

\displaystyle  \frac{1}{p}  +  \frac{1}{q}    =  \frac{  - (q + p )}{x(p  + q + x)}

simplify addition of the left hand side:

\displaystyle  \frac{q + p}{pq}     =  \frac{  - (q + p )}{x(p  + q + x)}

divide both sides by q+p Which yields:

\displaystyle  \frac{1}{pq}     =  \frac{  -1}{x(p  + q + x)}

cross multiplication:

\displaystyle    x(p  + q + x)  =   - pq

distribute:

\displaystyle    xp  + xq +  {x}^{2} =   - pq

isolate -pq to the left hand side and change its sign:

\displaystyle    xp  + xq +  {x}^{2} + pq =  0

rearrange it to standard form:

\displaystyle   {x}^{2} +    xp  + xq  + pq =  0

now notice we end up with a <u>quadratic</u><u> equation</u> therefore to solve so we can consider <u>factoring</u><u> </u><u>method</u><u> </u><u> </u>to use so

factor out x:

\displaystyle  x( {x}^{} +   p ) + xq  + pq =  0

factor out q:

\displaystyle  x( {x}^{} +   p ) +q (x + p)=  0

group:

\displaystyle  ( {x}^{} +   p ) (x + q)=  0

by <em>Zero</em><em> product</em><em> </em><em>property</em> we obtain:

\displaystyle   \begin{cases} \displaystyle  {x}^{} +   p  = 0 \\   \displaystyle x + q=  0 \end{cases}

cancel out p from the first equation and q from the second equation which yields:

\displaystyle   \begin{cases} \displaystyle  {x}^{}   =  - p \\   \displaystyle x  =  -  q \end{cases}

and we are done!

3 0
3 years ago
What is the slope of the line that passes through the given points? (6, 2) and (7, 4)
zhannawk [14.2K]

Slope for (x₁, y₁) and (x₂, y₂):      (6, 2) and (7, 4)

Slope:      (y₂ -y₁) / (x₂ -x₁)

Slope:      ( 4 - 2) / (7 - 6)  =  2/1

<span>Slope = 2/1 = 2

Option D</span>
7 0
3 years ago
Read 2 more answers
On a given blueprint, 1 inch = 12 feet. if the dimensions of a recreation room on the blueprint are 2 inches × 1.75 inches, what
DedPeter [7]
24 feet × 21 feet is the answer
4 0
3 years ago
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