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3 years ago

- Mary earns an hourly wilge of $13 plus a $90

Mathematics

2 answers:

SIZIF [17.4K]3 years ago

8 0

Answer:

39 hours

Step-by-step explanation:

Mary earns an hourly wage of $13

plus a $90 bonus.

Her total paycheck shows she received $597

Subtracting the bonus we get;

$597 - $90 = $507

1 hour -> she gets $13

how many hours will she get $507

Cross multiplying gives;

$\frac{507}{13} * 1 = 39$ hours

marta [7]3 years ago

6 0

Answer:

<h2> Mary worked 39 hours</h2>

Step-by-step explanation:

$597 - $90 = $507 - payment for hours only

507÷13 = 39

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Fed [463]

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3 years ago

Which expressions are equivalent to the one below? Check all that apply. <br><br> 9^x

AveGali [126]

Answer:

A) $3^{x}*3^{x}$

B) $3^{2x}$

C) $(3 * 3)^{x}$

Step-by-step explanation:

Given the exponential expression, $9^{x}$ :

A) $3^{x}*3^{x}$ is equivalent to $9^{x}$ due to the Product Rule of exponents: $a^{m} a^{n} = a^{m + n}$ .

$3^{x}*3^{x} = 3^{x+x} = 3^{2x}$

Next, apply the Power-to-Power Rule of exponents: $a^{mn} = (a^{m} )^{n}$ .

$3^{x}*3^{x} = 3^{x+x} = 3^{2x} = (3^{2})^{x} = 9^{x}$

B) $3^{2x}$ is equivalent to $9^{x}$ due to the Power-to-Power Rule of exponents: $a^{mn} = (a^{m} )^{n}$ .

$3^{2x} = (3^{2})^{x} = (9)^{x} = 9^{x}$ .

C) $(3 * 3)^{x}$ is equivalent to $9^{x}$ due to the Product-to-Power Rule of exponents: $(ab)^{m} = a^{m} b^{m}$ .

$(3 * 3)^{x} = (9)^{x} = 9^{x}$

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3 years ago

ΔDOG has coordinates D (3, 2), O (2, −4) and G (−1, −1). A translation maps point D to D' (2, 4). Find the coordinates of O' and

geniusboy [140]

Answer:

see explanation

Step-by-step explanation:

Given D(3, 2 ) → D'(2, 4 )

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(x, y ) → (x - 1, y + 2 )

Apply this rule to points O and G

O( 2, - 4 ) → O'(2 - 1, - 4 + 2 ) → O'(1, - 2 )

G(- 1, - 1 ) → G'(- 1 - 1, - 1 + 2 ) → G'(- 2, 1 )

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4 years ago

segment Y prime Z prime has endpoints located at Y'(0, 3) and Z'(−6, 3). segment YZ was dilated at a scale factor of 3 from the

liberstina [14]

Answer:

YZ is located at Y (0, 1) and Z (-2, 1) and is one-third the size of Y'Z'.

Step-by-step explanation:

Since Y'Z' was dilated from the origin at a scale factor of 3, you can divide its X and Y coordinates by 3 to find the coordinates of YZ.

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3 years ago

Read 2 more answers

Ricardo spends 8/9 hour reading the newspaper.he spends 1/4 of the time reading the world news and splits the remaining time equ

guajiro [1.7K]

If he spends 1/4 reading the news, then he spends 3/4 reading the other stuff

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(2/3) / 2 =
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3 years ago