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3 years ago

Simplify to create an equivalent expression. 8(10 - 6q) + 3(-7q- 2) Choose 1 answer:

1 answer:

eduard3 years ago

7 0

Answer: -69q+74

Step by step:
1. Use distributive property.

8⋅10+8(−6q) + 3(−7q − 2)

Multiply 8 • 10 then -6 • 8

80 - 48q + 3(-7q - 2)

2. Use distributive property again.

80 - 48q + 3(-7q - 2)

Multiply -7 • 3 then 3 • -2

80 - 48q -21q - 6

3. Simplify

Subtract 6 from 80 then subtract 21q from -48q.

-69q + 74

8(10 - 6q) + 3(-7q - 2) = -69q + 74
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I hope this answers your question. :)

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He saved $12 from Saturday babysitting

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3 years ago

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Kabul’s bookshop marks up all books by 40 percent of their cost. The overhead rate is 16 percent of the selling price. What is t

morpeh [17]

Answer:

The net profit rate on the book is 5.41

Step-by-step explanation:

Given as :

The marks up percentage of book = m = 40%

The overhead rate is 16% of selling price

The cost price of book = c.p = $18.10

Let The profit = $p

Let The selling price = s.p

<u>Now, According to question</u>

mark up percentage = $\dfrac{s.p - c.p}{c.p}$

I.e 40% = $\dfrac{s.p - 18.10}{18.10}$

Or, $\dfrac{40}{100}$ + 1 = $\dfrac{s.p}{18.10}$

Or, $\dfrac{140}{100}$ = $\dfrac{s.p}{18.10}$

Or, s. p = $\dfrac{140\times 18.10}{100}$

∴ s.p = $25.34

So, selling price of book = s.p = $25.34

Now, The overhead percentage = 16%

i.e overhead rate = $\dfrac{\textrm estimated cost}{\textrm estimated total base unit}$

Or, estimated cost = 16% × 25.34

I,e estimated cost = 0.16 × 25.34

∴ estimated cost = $4.05

Now,

Profit = selling price of book - estimated book cost

I.e p = $25.34 - $4.05

∴ p = $21.29

So, The profit rate% = $\dfrac{\textrm profit}{\textrm estimated cost}$

I.e The profit rate% = $\dfrac{21.29}{4.05}$

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3 years ago

How many vertices does an octagon have?

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3 years ago

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A ball slides up a frictionless ramp. It is then rolled without slipping and with the same initial velocity up another frictionl

KATRIN_1 [288]

Answer:

Rolling case achieves greater height than sliding case

Step-by-step explanation:

For sliding ball:

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- We have frictionless ramp, hence no loss due to friction.So the entire kinetic energy is converted into potential energy.

- The ball slides it only has translational kinetic energy as follows:

ΔK.E = ΔP.E

0.5*m*v^2 = m*g*h

h = 0.5v^2 / g

For rolling ball:

- Its the same as the previous case but only difference is that there are two forms of kinetic energy translational and rotational. Thus the energy balance is:

ΔK.E = ΔP.E

0.5*m*v^2 + 0.5*I*w^2 = m*g*h

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3 years ago

Corn costs 99 cents per pound, and beans cost 45 cents per pound. If Shea buys 24 total pounds of corn and beans, and it costs $

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Shea bought 13.5 pounds of corn

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b = pounds of beans

Here’s what we know:
c(0.99) + b(0.45) = 18.09
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Solve the second equation for c in terms of b

c = 24-b

Substitute that expression for c in our first equation to get a numerical solution for b:

0.99 (24-b) + 0.45b = 18.09
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Substitute that value to get a numerical value for c:

c = 24 - b
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Check the math:

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