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1 year ago

My sister needs some help with her homework. Can someone lend her a hand?

Mathematics

2 answers:

Neporo4naja [7]1 year ago

5 0

Answer:

600 = 10 x 60

Step-by-step explanation:

If you do 10 x 60 or 60 x 10 it'll equal 600, that's what the questons is looking for so the way it'd be written is:

6 hundreds is 10 times as much as 600.

600 = 10 x 60

Hopefully this helps! I hope you and your sister have a blessed day!

jek_recluse [69]1 year ago

4 0

Answer:

6 hundred is 10 times as much as 6 <u>tens</u>

600 = 10 x <u>60</u>

Step-by-step explanation:

Counting by 60:

60, 120, 180, 240, 300, 360, 420, 480, 540, 600

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Translate this word phrase into a variable expression. 25 decreased by the sum of 6 and a number

Elena-2011 [213]

6x-25 six and a number(x) decreased by 25

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3 years ago

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A supply company manufactures copy machines. The unit cost C (the cost in dollars to make each copy machine) depends on the numb

sergij07 [2.7K]

Answer: $\$18,629$

Step-by-step explanation:

Given

The unit cost is given by

$C(x)=0.6x^2-168x+30,389$

find the derivative of the unit cost and equate it to zero to obtain the minimum value

$C'(x)=0.6\times 2x-168\\\Rightarrow 0.6\times 2x-168=0\\\Rightarrow 1.2x=168\\\\\Rightarrow x=\dfrac{168}{1.2}\\\\\Rightarrow x=140$

Substitute 140 for $x$ in the cost function, we get

$C(140)=0.6[140]^2-168(140)+30,389\\C(140)=11,760-23,520+30,389\\C(140)=\$18,629$

7 0

2 years ago

Solve (x - 3)^2+7=97, where X is a real number. Round your answer to the nearest hundredth.

Eddi Din [679]

Answer:

x ≈ - 6.49, x ≈ 12.49

Step-by-step explanation:

Given

(x - 3)² + 7 = 97 ( subtract 7 from both sides )

(x - 3)² = 90 ( take the square root of both sides )

x - 3 = ± $\sqrt{90}$ ( add 3 to both sides )

x = 3 ± $\sqrt{90}$

Then

x = 3 - $\sqrt{90}$ ≈ - 6.49 ( to the nearest hundredth )

x = 3 + $\sqrt{90}$ ≈ 12.49 ( to the nearest hundredth )

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2 years ago

4 consecutive integers add up to 34. Write an equation to find the numbers

Kisachek [45]

Answer:

$(n+(n+1)+(n+2)+(n+3))=34$

Step-by-step explanation:

$(n+(n+1)+(n+2)+(n+3))=34$

To make them consecutive, means they have to be one after the other.
You assume one of the numbers are n, to make the other integers consecutive you add 1 then 2 then 3.

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2 years ago

A rectangular prism is 9.8 inches long, 20 inches wide, and 5 inches high. what is the surface area of the rectangular prism?

Sliva [168]

The prism has 6 faces: 2(length·width), 2(length·heighth), & 2(width·heighth)
2(length · width) = 2(9.8 · 20) = 2(196) = 392 in²
2(length · heighth) = 2(9.8 · 5) = 2(49) = 98 in²
2(width · heighth) = 2(20 · 5) = 2(100) = 200 in²

The sum of the faces is the surface area (S.A.)
392 in² + 98 in² + 200 in² = 690 in²

3 0

3 years ago