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3 years ago

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Which of these is a literal equation? Choose one answer. a. ten minus six equals four b. three squared plus four equals ten plus

three c. x squared minus seven equals y plus four d. three time eight minus ten equals three time negative two

1 answer:

r-ruslan [8.4K]3 years ago

7 0

When you're talking about equations, 'literal' means 'has letters in it'. 'C' is the only one with any letters in it.

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Three different sets of objects contain 2, 3, and 14 objects, respectively. How

svet-max [94.6K]

The answer is C, eighty four combinations

5 0

2 years ago

Read 2 more answers

Simplify: [5×(25)^n+1 - 25 × (5)^2n]/[5×(5)^2n+3 - (25)^n+1]

Alekssandra [29.7K]

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

<u>Given expression is </u>

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

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

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

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

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

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

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

<u>Hence, </u>

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

4 0

2 years ago

Jenny's math grades are 95, 82, 75, 100, 67, 89, 75, 80, 91, and 70. Make a stem and leaf plot for these grades.

11111nata11111 [884]

6 I 7

7 I 0 5 5

8 I 0 2 9

9 I 1 5

10 I 0

Hope this helps!

7 0

3 years ago

Read 2 more answers

The solution of the equation 7x+2=23 is ?

ikadub [295]

7x+2=23
Move 2 to the other side
7x=23-2
7x=21

To isolate the x divide both sides by 7
x=3

To check plug the value of x back in

7(3)+2=23
21+2=23
23=23

3 0

3 years ago

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HELP ME WALLAHO HELP ME WALLAHI HELP

sergij07 [2.7K]

Answer:

13

Step-by-step explanation:

Draw a picture!

You have a right triangle with legs of 5 and 12.

By the Pythagorean Theorem, the hypotenuse is √(5²+12²) = 13

3 0

3 years ago