3(y+6)+5(2–4y)
Combining like terms

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;

[tex]\frac{507}{13} * 1 = 39[/tex] hours

Answer:

Step-by-step explanation:

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

507÷13 = 39

Answer:

Option B - 35.4 VAC

Step-by-step explanation:

Formula for peak voltage is;

V_p = V_rms × √2

Making V_rms the formula, we have;

V_rms = (V_p)/√2

We are given:Peak voltage: V_p = 50 VAC

Where 50 VAC means 50 Volts AC power

Thus;

V_rms = 50/√2

V_rms ≈ 35.4 VAC

So option B is correct

Answer:

36/16, 36:16, 36 to 16

Step-by-step explanation:

all above are correct

you can write ratios 3 different ways

ANSWER - BY DIVIDI.G BOTH THE SIDES OF THE EQUATION BY THAT FRACTION  BUT TO DIVIDE BY A FRACTION .WE FLIP THAT FRACTION AND MULTIPLY.

HOPE IT HELPS

Answer:

Real:

Imaginary:

Complex:

Step-by-step explanation:

A real number is a number that exists in real life.

An imaginary number is a number that doesn't exist, hence it has the letter i in it.

A complex number consists of a real number and an imaginary number.

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Answer:  translation 8 units to the right

Step-by-step explanation:

An even function is a function such that:

h(x) = h(-x)

and the function is odd if:

h(-x) = -h(x)

Now, let's talk about transformations:

A) Reflection over the x-axis:

When we have a point (x,y) and we do a reflection over the x-axis, the reflected point will be:

(x, -y).

Then for the case of a function:

y = h(x).

then the reflection will be:

g(x) = - y = -h(x).

And if h(x) is even, -h(x) is also even, so this is not the correct option.

B) Vertical stretch by a factor of 7.

This is written as:

g(x) = 7*h(x).

then:

g(x) = 7*h(x)

g(-x) = 7*h(-x) = 7*h(x) = g(x)

the transformation is even.

C) Translation of 8 units to the right.

We can write this as:

g(x) = h(x - 8).

Then:

g(-x) = h(-x -8) = h(x + 8)

Then g(-x) is not equal to g(x)

and also g(-x) ≠ -g(x)

So in this case the transformation is neither odd or even.

C)  horizontal compression by a factor of One-half.

This transformation is written as:

g(x) = h( (1/2)*x)

And, similar as the case of the vertical compression, in this case the transformation is also even.

Answer: C

Step-by-step explanation:

Translation 8 units to the right

We start off with 50 as our room temperature.

Then we subtract off 4h to indicate the temperature drops 4 degrees per hour

You can think of it like this

1 hour = drop by 4 degrees

h hours = drop by 4h degrees (multiply both sides by h)

So the expression 50-4h represents the temperature after h hours. We want this to be below 32, so 50-4h < 32 is the inequality we're after

Solving for h leads to

50-4h < 32

-4h < 32-50 ... subtract 50 from both sides

-4h < -18

h > -18/(-4) ... divide both sides by -4; note the inequality sign flips

h > 4.5

If you go beyond 4.5 hours, then the temperature will be below 32 degrees

notes:

After 1 hour 46

After 2 hour 42

After 3 hour38

After 4 hour 34

After 4 (1/2) hour 32

The BODMAS rule is indeed an acronym used to recall the order of operations to be utilized while solving mathematical expressions, and the further calculation can be defined as follows:

Given:

[tex]\bold{ 7-24\div 8\times 4+6}[/tex]

To find:

Simplification=?

Solution:

Using BODMOS rule

[tex]\to \bold{ 7-24\div 8\times 4+6}\\\\\to \bold{ 7-\frac{24}{8}\times 4+6}\\\\\to \bold{ 7-3\times 4+6}\\\\\to \bold{ 7-12+6}\\\\\to \bold{ 7-18}\\\\\to \bold{ -11}\\\\[/tex]

Therefore, the final answer is "-11".

Learn more:

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Answer:

3

Step-by-step explanation:

QC=2x

RC=3x

QR=15

THEREFORE,

QC+RC=QR

=>2x+3x=15

=>5x=15

=>x=15/5

=>x=3

Answer:

false

Step-by-step explanation:

an integer is any number greater or less than 0

Answer: Pretty sure the answer is C

Step-by-step explanation:

Answer:

2(2x - 5)(2x + 5)

Step-by-step explanation:

[tex]8x^{2} -50[/tex]

First pull out 2.

2[tex](4x^{2} -25)[/tex]

We can see each is a square after pulling out 2.

square root of 4 is 2 and square root of 25 is 5. Because the we have - 25 we know we have opposite signs, two - would make a positive, and two + would also make a positive, and the middle wouldn't cancel out. So we have:

2(2x - 5)(2x +5)

Let's check our work. Focus on the ( ) first.

2(2x - 5)(2x + 5)

2x * 2x + 2x * 5  - 5 * 2x - 5 * 5

4[tex]x^{2}[/tex] + 10x - 10x - 25

4[tex]x^{2}[/tex] - 25      Can't forget to multiply by 2!

2 (4[tex]x^{2}[/tex] - 25 )

8[tex]x^{2}[/tex] - 50

Answer:

3y+x = 3

Step-by-step explanation:

for the point ( 3,0)

x=3 , y= 0

the equation for the line is given as

y-y1= m(x-x1)

for perpendicular ,

m= -1/x

so

y-0 = -1/3(x-3)

3y= -x +3

3y+x=3

Answer: 5x - 3y = 15

Step-by-step explanation: was correct on edge test.

Answer:

12

Step-by-step explanation:

Plug the given values into the equation to solve.

a² - b²

(4)² - (-2)²

16 - 4

12

Answer:

Step-by-step explanation: 0 because it is not considered a natural number.

Answer:

Mean: 8,75

Median: 7,5

Step-by-step explanation:

To find Mean

To find the mean data you have to put data all set in order:

3, 4, 6, 6, 9, 12, 15, 15

Then, all of the numbers in the data set added together and then divided by how many numbers in the data that already put in order:

3 + 4 + 6 + 6 + 9 + 12 + 15 + 15 = 70

There are 8 numbers in the data so divide 70 by 8:

70 ÷ 8 = 8,75

----

To find Median

The median is in the middle number of the data that already in order. Which is number 6 and 9.

Median = (6 + 9) ÷ 2

Median = 15 : 2

Median = 7,5

Answer:

answer is B

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Since AC = AB + BC

------------------

BC = 3x + 6 = 3*5 + 6 = 21

Answer:

A. Jada drank less water than Elena

B. Lin drank more water than Elena

Step-by-step explanation:

Elena drink 3 Liters of water yesterday Jada drank 3/4 times as much water as Elena. Lin drank twice as much water as Jada.

A. Did Jada drink more or less water than Elena?

B. Did Lin drink more or less water than Elena?

Elena drank 3 liters of water

Jada drank 3/4 times as much water as Elena.

Lin drank twice as much water as Jada

Elena = 3 liters

Jada = 3/4 × Elena

=3/4 × 3

=9/4 liters

=2 1/4 liters

=2.25 liters

Lin=2×Jada

=2×9/4

=18/4

=4 2/4

=4.5 liters

Did Jada drink more or less water than Elena?

A. Jada drank less water than Elena

Because 2.25 liters is less than 3 liters

B. Lin drank more water than Elena

4.5 liters is greater than 3 liters

Answer:

The number before a variable. For example, 4x. 4 would be the coefficient, and x would be the variable.

Answer:

A numerical or constant quantity placed before and multiplying the variable in a algebraic expression

Answer: D) neither

Step-by-step explanation:

If you plug in any of the given coordinates, the answer is always incorrect

Answer:

x=3

Step-by-step explanation:

3 square ft

Answer:

20 episodes

Step-by-step explanation:

Answer:

x = -5, 5

Step-by-step explanation:

Step 1: Write out equation

-x² - 8 = -33

Step 2: Add 8 on both sides

-x² = -25

Step 3: Divide both sides by -1

x² = 25

Step 4: Take square root on both sides

x = ±5

Step 5: Arrange

-5 < 5

So x = -5, 5

Answer:

Subtraction property of equality

Step-by-step explanation:

[tex]x+1=-2\\[/tex]

Move 1 to the [tex]x = -2-1\\simplify\\\\x = -3[/tex]right and change its sign

Answer:

Last one

Step-by-step explanation:

Gabriella's step is justified by the substraction property of equality.

● x + 1 = -2

Gabriella substracted 1 from both sides

● x + 1 - 1 = -2 - 1

● x = -3

Answer:

b = c(5 - a)

Step-by-step explanation:

Given

a + [tex]\frac{b}{c}[/tex] = 5 ( subtract a from both sides )

[tex]\frac{b}{c}[/tex] = 5 - a ( multiply both sides by c to clear the fraction )

b = c(5 - a)

The value of b form the equation a + b/c = 5  will be b = c(5 - a)

We can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.

Given;

a + b/c = 5

subtract a from both sides;

b/c  = 5 - a

multiply both sides by c to clear the fraction;

b = c(5 - a)

Hence, The value of b form the equation a + b/c = 5  will be b = c(5 - a)

Learn more about evaluating a function at a value here:

https://brainly.com/question/2753269

#SPJ2

Answer:

[tex]\frac{296}{15}[/tex] or [tex]19\frac{11}{15}[/tex]

Step-by-step explanation:

The distance around the rectangle is also known as the perimeter of the rectangle.

The formula for the perimeter of a rectangle is 2l+2w.  

The width of this rectangle is 3 1/5 feet and the length of this rectangle is 6 2/3 feet, so plug into the perimeter formula:

P=2l+2w

=2(6 2/3)+2(3 1/5)

=2(20/3)+2(16/5)

=40/3+32/5

--(LCD is 15)

= 5/5(40/3)+3/3(32/5)

=200/15+96/15

=296/15 or 19 11/15 feet

The distance around the rectangle is about [tex]\frac{296}{15}[/tex] or [tex]19\frac{11}{15}[/tex].

Answer:

3 liters is equvilent to 6.34 pints

Step-by-step explanation: