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3 years ago

6

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each value to the correct expressio

n.

1 answer:

serg [7]3 years ago

7 0

Answer:

a. 27

b. 3

c. 15

d. 22

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A line has the equation -5x -14y +168 = 0

valkas [14]

Answer:

y = -5/14x + 12

Step-by-step explanation:

add 14y to both sides to isolate variables and divide everything by 14 to get 1y and boom

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2 years ago

I need help with this can you?

Reptile [31]

Answer:

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Step-by-step explanation:

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3 years ago

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Write 2.4 x 10 to the power of -3 in standard form

fomenos

Answer:

Step-by-step explanation:

$2.4 \times10^{-3}=\frac{24}{10} \times \frac{1}{10^3} =\frac{24}{10^4} =\frac{24}{10000} =0.0024$

6 0

3 years ago

A jet ski costs $925 and depreciates by 15% each year. How much will

ivann1987 [24]

Initial cost of the jet ski = $925
Percentage of depreciation per year = 15%
Number of years after which the cost of the jetski has to be determined = 7
Then
Depreciated Value = Initial cost( 1 - percentage of depreciation) ^number of years
      = 925( 1 - 15%)^7
      = 925( 1 - 15/100)^7
      = 925(1 - 0.15)^7
      = 925(0.85)^7
      = 925 *(0.85)^7
      = 925 * 0.3206
      = 296.53 dollars
So the depreciated cost of the jet ski after 7 years will be $296.53

6 0

3 years ago

Prove divisibility 45^45·15^15 by 75^30

Anuta_ua [19.1K]

Answer:

$3^{75}$

Step-by-step explanation:

We are asked to divide our given fraction: $\frac{45^{45}*15^{15}}{75^{30}}$ .

We will simplify our division problem using rules of exponents.

Using product rule of exponents $(a*b)^n=a^n*b^n$ we can write:

$45^{45}=(3*15)^{45}=3^{45}*15^{45}$

$75^{30}=(5*15)^{30}=5^{30}*15^{30}$

Substituting these values in our division problem we will get,

$\frac{3^{45}*15^{45}*15^{15}}{5^{30}*15^{30}}$

Using power rule of exponents $a^m*a^n=a^{m+n}$ we will get,

$\frac{3^{45}*15^{45+15}}{5^{30}*15^{30}}$

$\frac{3^{45}*15^{60}}{5^{30}*15^{30}}$

Using quotient rule of exponent $\frac{a^m}{a^n}=a^{m-n}$ we will get,

$\frac{3^{45}*15^{60-30}}{5^{30}}$

$\frac{3^{45}*15^{30}}{5^{30}}$

Using product rule of exponents $(a*b)^n=a^n*b^n$ we will get,

$\frac{3^{45}*(3*5)^{30}}{5^{30}}$

$\frac{3^{45}*3^{30}*5^{30}}{5^{30}}$

Upon canceling out $5^{30}$ we will get,

$3^{45}*3^{30}$

Using power rule of exponents $a^m*a^n=a^{m+n}$ we will get,

$3^{45+30}$

$3^{75}$

Therefore, our resulting quotient will be $3^{75}$ .

8 0

2 years ago