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3 years ago

A number to the 9th power divided by the same number to the 6th power equals 512. What is the

1 answer:

5 0

The answer is 5

explanation:
Let's call our number
a
. The statement written as a formula is
a
12
a
9
=
125
We can simplify the fraction, and we have
a
3
=
125
To solve for
a
, take the third root of both sides:
a
=
(
125
)
1
3
=
5

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Which statement about an input/output table is true?

GREYUIT [131]

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3 years ago

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2 years ago

Can someone please help me with this ASAP‼️ Thank You

AVprozaik [17]

Let x = cost of the dishwasher.

The amounts the children are paying are:

Mark =20% = 1/5, so 1/5x

Sorin = 75

Raymond = 1/4x

Stephanie = 75

Kristin = 1/3x

Add them together:

x = 1/5x + 1/4x + 1/3x + 75 + 75

x - ( 1/5x + 1/4x + 1/3x ) = 150

Rewrite fractions with common denominator:

x - ( 12/60x + 15/60x + 20/60x ) = 150

60/60x - 47/60x = 150

13/60x = 150

x = 150/1 • 60/13

x = 9000/13

x = 692.31

The total cost of the dishwasher is $692.31

Now calculate the amount each child pays:

Mark = 1/5 x = 692.31/ 5 = $138.46

Sorin = $75.00

Raymond = 1/4 x = 692.31 / 4 = $173.08

Stephanie = $75.00

Kristin = 1/3 x = 692.31 / 3 = $230.77

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3 years ago

If n erasers have a weight of 80 grams, what is the total weight of 50 erasers?

Black_prince [1.1K]

Answer:

$The\ weight\ of\ the\ 50\ erasers\ be\ \frac{4000}{n}\ grams.$

Step-by-step explanation:

As given

if n erasers have a weight of 80 grams .

I.e

n erasera = 80 grams.

1 erasers weight .

$1\ erasers\ weight = \frac{80}{n}$

Now find out the weight of the 50 erasers.

$Weight\ of\ 50\ erasers = \frac{50\times 80}{n}\ grams$

Simplify the above

$Weight\ of\ 50\ erasers = \frac{4000}{n}\ grams$

$Therefore\ the\ weight\ of\ the\ 50\ erasers\ be\ \frac{4000}{n}\ grams.$

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3 years ago

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What number does x stand for in this equation?

Alex777 [14]

Answer:

C. -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

-7x + 6 = 27

Step 2: Solve for x

[Subtraction Property of Equality] Subtract 6 on both sides: -7x = 21
[Division Property of Equality] Divide -7 on both sides: x = -3

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2 years ago