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3 years ago

What are the solutions of the equation (x−13)2=400?

Mathematics

1 answer:

Slav-nsk [51]3 years ago

7 0

Answer:

Step-by-step explanation:

$(x-13)^2=400\\\\ (x-13)^2=(\pm20)^2\\\\x-13=20\quad\vee\quad x-13=-20\\\\x=33\qquad\vee\qquad x=-7$

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Paper cost $49 for 10 reams. How much for 1 ream?

amid [387]

For 10 ream, it's cost = $49
So, for 1 ream, it would be: $49/10 = $4.9

So, your final answer is $4.9

Hope this helps!

6 0

3 years ago

Select the equivalent expression.

Free_Kalibri [48]

Answer:

$\frac{7^{15}}{3^{30}}$

Step-by-step explanation:

The given expression is:

$(\frac{3^{-6}}{7^{-3}})^{5}$

Moving the expression to the other side in the fraction changes its sign to opposite. A numerator with negative exponent, when written in denominator will have the positive exponent. Using this rule, we can write:

$(\frac{3^{-6}}{7^{-3}})^{5}\\\\ = (\frac{7^{3}}{3^{6}} )^{5}$

The exponent 5 can be distributed to both numerator and denominator as shown:

$(\frac{7^{3}}{3^{6}} )^{5}\\\\ = \frac{(7^{3})^{5}}{(3^{6})^{5}}$

The power of a power can be written as a product. i.e.

$\frac{(7^{3})^{5}}{(3^{6})^{5}}\\\\ =\frac{7^{15}}{3^{30}}$

So, the expression similar to the given expression and with positive exponents is: $\frac{7^{15}}{3^{30}}$

6 0

3 years ago

Read 2 more answers

A square base of a pyramid has dimensions 5 yards by 5 yards. The height of one of the triangular faces is 12 yards. How can you

siniylev [52]

A square pyramid has 4 triangles and the square base.

Calculate the area of one triangle, multiply that by 4 then add the area of the base.

Area of triangle = 1/2 x base x height = 1/2 x 5 x 12 = 30 square yards.

30 x 4 = 120 square yards

Area of base = 5 x 5 = 25 square yards

Total = 120 + 25 = 145 square yards.

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3 years ago

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goldenfox [79]

Answer:

x = 95

Step-by-step explanation:

(2x - 60)° = (x + 35)° (corresponding angles are congruent)

2x - 60 = x + 35

2x - 60 - x = x + 35 - x

x - 60 = 35

x - 60 + 60 = 35 + 60

x = 95

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3 years ago

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Mazyrski [523]

Answer:

10.75 would be a 64 ring size in the US

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3 years ago