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3 years ago

Express 80 as a product of prime factors using index notation

Mathematics

1 answer:

hammer [34]3 years ago

4 0

80 = 2 x 2 x 2 x 2 x 5
80 = 2 ^4 x 5

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4=2(c-6)-4 solve for c

Naddik [55]

4=2c-12-4
4=2c-16
20=2c
10=c

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2 years ago

An electrician charges a rate of $60 per hour plus a fee of $35 per job. Which expression represents the electrician's hourly ra

miskamm [114]

The hourly rate is 60, so multiply 60 by the number of hours (h) and add the fee:

Answer: 60h + 35

5 0

2 years ago

A box of pencils is 5 1/4 inches wide. Seven pencils, laid side by side, take up 2 5/8 inches of the width. How many inches of t

Andre45 [30]

Answer: Width of box is not taken up by pencils = $2\dfrac58\text{ inches}$

Width of each pencil $=\dfrac38\text{ inches}$

Step-by-step explanation:

Given: Width of pencil box = $5\dfrac14\text{ inches}=\dfrac{21}{4}\text{ inches}$

Width of seven pencils = $2\dfrac58\text{ inches}=\dfrac{16+5}{8}\text{ inches}=\dfrac{21}{8}\text{ inches}$

Width of box is not taken up by pencils = Width of pencil box - Width of seven pencils

$\left \{ {{y=2} \atop {x=2}} \right. \dfrac{21}{4}-\dfrac{21}{8}\\\\=\dfrac{21\times2-21}{8}\\\\=\dfrac{21}{8}\text{ inches}=2\dfrac58\text{ inches}$

Width of box is not taken up by pencils = $2\dfrac58\text{ inches}$

Width of each pencil = (Width of seven pencils ) ÷ 7

$=\dfrac{21}{8}\div7\\\\=\dfrac{21}{8}\times\dfrac17\\\\=\dfrac38\text{ inches}$

Width of each pencil $=\dfrac38\text{ inches}$

3 0

2 years ago

Read 2 more answers

Help,very easy question but i can't understand<br>

ella [17]

Answer:

Step-by-step explanation:

10 is the greatest common factor that you can divide into both 40 and 50.

8 0

2 years ago

Read 2 more answers

43 - 12y = 8<br> 41 + 12y = 56

Anna71 [15]

Answer:

no solution

Step-by-step explanation:

+12y and -12y cancel each other out.

we are left with 43+41=8+56

84 doesn't equal 64

so NO SOLUTION

7 0

2 years ago