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3 years ago

You earned a 90% on a math test you answered 18 questions correctly how many questions were on the test

Mathematics

1 answer:

jekas [21]3 years ago

5 0

Answer: 20

Step-by-step explanation:

18/20 %90

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<img src="https://tex.z-dn.net/?f=Simplify%3A%20%5Cfrac%7B%205%C3%97%2825%29%5E%7Bn%2B1%7D%20-%2025%20%C3%97%20%285%29%5E%7B2n%7

Katen [24]

$\green{\large\underline{\sf{Solution-}}}$

Given expression is 

$\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} }$

can be rewritten as

$\rm \: = \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} }$

We know,

$\purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\$

And

$\purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\$

So, using this identity, we

$\rm \: = \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} }$

$\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} }$

can be further rewritten as

$\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} }$

$\rm \: = \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)}$

$\rm \: = \: \dfrac{4}{25 - 1}$

$\rm \: = \: \dfrac{4}{24}$

$\rm \: = \: \dfrac{1}{6}$

Hence, 

$\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}$

4 0

2 years ago

Write the equation of the circle that is tangent to the y-axis. Its center is at (-3,5).

abruzzese [7]

Answer:

¿De que manera usted se informa a la hora de elegir un candidato presidencial? ENTRAR AL LINK es una encuesta de 1 pregunta ,GRACIAS

https://forms.gle/VqfekaGgk8cfJhPW9

Step-by-step explanation:

5 0

2 years ago

-6(x-3)+4x simplify the expression

kobusy [5.1K]

Answer: -2x+18

Hope this will help :)

3 0

2 years ago

Read 2 more answers

What is the anwser -13-4x=x+7

Luden [163]

-13-4x=x+7

+13 +13

-4x=x+20

-x -x

-5x=20

/-5 /-5

x=-4

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hope it helps

7 0

2 years ago

Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(−2, 1), B(3, 1), C(3, 4),

Lynna [10]

Answer:

16 units.

Step-by-step explanation:

8 0

2 years ago