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julia-pushkina [17]
3 years ago
14

The difference of two perfect cubes is 386. If the cube root of the smaller of the two numbers is 7, then the cube root of the l

arger number is​
Mathematics
1 answer:
choli [55]3 years ago
8 0

Answer:

9

Step-by-step explanation:

Let the two perfect cubes be x and y where x > y.

According to the given conditions:

{x}^{3}  -  {y}^{3}  = 386...(1) \\ y = 7...(2) \\ plug \: y = 7 \: in \: equation \: (1) \\  {x}^{3}  -  {7}^{3}  = 386 \\ {x}^{3}  -  343 = 386 \\ {x}^{3}     = 343  +  386 \\ {x}^{3}     = 343  +  386 \\ {x}^{3}   = 729 \\ x =  \sqrt[3]{729}  \\ x = 9

Thus the cube root of the larger number is 9.

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4x-10=30<br> 2n-7=30 <br> S/3+2=4
emmasim [6.3K]

Answer:

x=10 n=18.5 s=6

Step-by-step explanation:

4x-10=30

Add 10 to both sides

4x-10+10=30+10

4x=40

Divide by 4 on both sides

(4x)/4=40/4

x=10

2n-7=30

Add 7 to both sides

2n-7+7=30+7

2n=37

Divide by 2 on both sides

(2n)/2=37/2

n=18.5

(s/3)+2=4

Subtract 2 from both sides

(s/3)+2-2=4-2

(s/3)=2

Multiply by 3 on both sides

3s/3=2*3

s=6

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3 years ago
An alloy of silver and gold is to be recast with an addition of silver. This new alloy consists of 80 ounces and is to have only
Liula [17]

Answer:

What percentage of gold is in the new alloy after the recasting? 4

Step-by-step explanation:

(80/5)*(1/5)/80=0.04

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multiplication is defined as repeated addition.use the word repeated to define exponential form.justify your reasoning.
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