Q9. Alice worked 52 hours this week. She gets paid $9.35 per hour for the
first 40 hours and then gets time-and-a-half for the rest of the time. How
much money did she make this week?

Answer:

n = 21

Step-by-step explanation:

5(n-7)=2(n+14)

Distribute

5n -35 = 2n+28

Subtract 2n from each side

5n-2n -35 = 2n-2n +28

3n-35 =28

Add 35 to each side

3n-35+35 = 28+35

3n = 63

Divide by 3

3n/3 = 63/3

n =21

Answer:

The answer is n=21.

Step-by-step explanation:

To solve the equation for (n), start by using the distributive property on both sides of the equation. The distributive property is multiplying the sum of two or more addends by a number which will give the same result as multiplying each addend individually by the number and then adding the products together.

The equation will look like [tex]5n-35=2n+28[/tex] after using the distributive property. Next, add 35 to both sides of the equation, which will look like [tex]5n=2n+63[/tex], and then subtract (2n) from both sides of the equation, which will look like [tex]3n=63[/tex]. The next step is to simplify the equation, which will look like [tex]n=21[/tex], and the final answer to the equation will be [tex]n=21[/tex].

The hourly rate is $16.11.

The following information is mentioned in the question:

So, her hourly rate is

[tex]= \frac{Gross\ pay}{Number\ of\ hours} \\\\= \frac{\$757.50}{47\ hours}[/tex]

= $16.11

Here hourly rate should be measured by dividing the gross pay by the number of hours.

Therefore we can conclude that her hourly rate is $16.11

Learn more about the hourly rate here: brainly.com/question/14503751

Given:

Find:

hourly rate=?

Using formula:

[tex]\to \bold{\text{hourly rate}}=\frac{\text{Gross pay}}{\text{total hours}}[/tex]

                       [tex]=\frac{757.50}{47}\\\\= 16.117[/tex]

Therefore, her hourly rate is "16.117"

Learn more:

brainly.com/question/2691711

Answer:

Step-by-step explanation:

equilateral triangle

Answer:

Step-by-step explanation:

Let it be n- sided polygon.

Sum of interior angles is 150n.

On the other hand we know the sum of interior angles of a regular n - sided polygon is calculated using the following formula:

Compare the sums and solve for n:

12-sided polygon is called dodecagon

Answer:

48 kg

Step-by-step explanation:

8x+2 = 9x-4

8x-9x = -4-2

-x = -6

x = 6

Jane's weight at first = 8x = 8(6) = 48 kg

Answer:

[tex]a {}^{m - n} [/tex]

Step-by-step explanation:

...........

Answer:

1 → e

2 → f

3 → b

4 → d

5 → a

Step-by-step explanation:

Look for the corresponding sides by paying attention to the angle pairs since the angles do not change when the polygon is scaled.

Answer:

[tex]n=0,\\n=6[/tex]

Step-by-step explanation:

Given [tex]n^2-6n=0[/tex], we can factor out an [tex]n[/tex] from each of the terms on the left side of the equation:

[tex]n(n-6)=0[/tex]

Since we have two factors that multiply to zero, we can set each of them to zero and solve for [tex]n[/tex], because zero multiplied by anything is equal to zero. Therefore, as long as either [tex]n[/tex] or [tex]n-6[/tex] is equal to zero, the other factor can be any real number and the equation would still hold true.

Therefore, we have the following cases:

[tex]\begin{cases}n=0,\\n-6=0\end{cases}[/tex]

Solving, we get:

[tex]\begin{cases}n=0, n=\boxed{0}\\n-6=0, n=\boxed{6}\end{cases}[/tex]

[tex]\\ \sf\longmapsto n^2-6n=0[/tex]

[tex]\\ \sf\longmapsto n(n-6)=0[/tex]

Now

[tex]\\ \sf\longmapsto n=0\:or \:(n-6)=0[/tex]

[tex]\\ \sf\longmapsto n=0\:or \;n=6[/tex]

Hence roots of the equation are 0 and 6 .

More:-

We can solve it through Quadratic formula

[tex]\boxed{\sf x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}}[/tex]

Answer:

16,088 more miles

Step-by-step explanation:

Do  26,481-10,393 to get the answer.

26,481-10,393=16,088

The reason that you need to use subtraction to solve this problem is because the word problem says ”how many more”. I’ve learned in school that this is a sign that you have to find the difference to the terms being used in the problem, in this case, 26,481 and 10,393. To find the difference is to subtract the smaller number from the larger number, showing that you have to do 26,481-10,393 to get the answer.

Answer:

dannyduncan69.com

Step-by-step explanation:

Yes ,

Let's create orderer pairs from the table of function.

Note:-

If (x,y) be a co-ordinate pair of a function then x is the domain and y is the range.

Answer:

k=6

Step-by-step explanation:

Line partition formula

1/b(x2-x1)+x1, 1/b(y2-y1)+y1

Where b is the number partitions.

We know the x values so Subsitue 17 for x2 and 2 for x1. and we know this value must equal 7.

1/b(17-2)+2=7

1/b(15)=5

1/b=1/3

b=3

so the partition is 1/3

[tex] \frac{1}{3} (17 - 2) + 2 = 7[/tex]

So let find the y coordinate

[tex] \frac{1}{3} (8 - 5) + 5 = 6[/tex]

So our y coordinate is 6.

Answer:

option c

Step-by-step explanation:

explaination is in pic below

Answer:

- (5/22)

Step-by-step explanation:

(12-2x+8)/3 = (6x + 15)/2

(20 - 2x)/3 = ( 6x + 15)/2

Now cross multiplication

40 - 4x = 18x + 45

-18x - 4x = 45- 40

- 22x = 5

x = - ( 5/22)

Answer:

HELLO DEAR,

GIVEN:-

10sin⁴A + 15cos⁴A = 6

=> 10(sin²A)² + 15cos⁴A = 6

=> 10{(1 - cos²A)²} + 15cos⁴A = 6

=> 10{1 + cos⁴A - 2cos²A} + 15cos⁴A = 6

=> 10 + 10cos⁴A - 20cos²A + 15cos⁴A = 6

=> 25cos⁴A - 20cos²A + 4 = 0

=> 25cos⁴A - 10cos²A - 10cos²A + 4 = 0

=> 5cos²A(5cos²A - 2) - 2(5cos²A - 2) = 0

=> (5cos²A - 2)(5cos²A - 2) = 0

=> cos²A = 2/5

=> cosA = √2/√5 [ secA = √5/√2]

therefore,

sinA = √[1 - 2/5] = √3/√5 [ cosecA = √5/√3]

now,

27cosec^6A + 8sec^6A

=> 27 × {(√5/√3)²}³ + 8 × {(√5/√2)²}³

=> 27 × 125/27 + 8 × 125/8

=> 125 + 125

=> 250.

HENCE, 27cosec^6A + 8sec^6A = 250.

I HOPE IT'S HELP YOU DEAR,

THANKS

Step-by-step explanation:

Answer:

Please view the Graph image

Step-by-step explanation:

Please view the table of values to comprehend how I completed the graph from the function

Answer:

(-2.5, - 9)

Step-by-step explanation:

Using the Midpoint theorem, we have

x=(3-8)/2=-5/2=-2.5

y=(-10-8)/2=-18/2=-9

If the vertex of the parabola is (0, 0) and the focus is (2, 0). Then the equation of the parabola is x² = 8y. Then the correct option is C.

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

The vertex of the parabola is (0, 0) and the focus is (2, 0).

Then the equation of the parabola passing through the origin is given as

x² = 4ay

Then the value a is equal to 2.

Then the equation will be

x² = 4 × 2 × y

x² = 8y

More about the parabola link is given below.

https://brainly.com/question/8495504

#SPJ1

Answer:

D

y^2 = 8x

Step-by-step explanation:

Please I suffered through the question.

Hope this helps!

Answer:

15.59

Step-by-step explanation:

Area of an equilateral triangle given side length s:

area = (√3/4) * s²

Plug 6 in for s

area = (√3/4) * 6²

= √3/4 * 36

≈ 15.59

Answer:

D

Step-by-step explanation:

We want to simplify the expression:

[tex]\displaystyle \frac{6i}{9+2i}[/tex]

To do so, we can remove the imaginary unit in the denominator by multiply it by the conjugate.

The conjugate of a + bi is a - bi.

Hence, we will multiply the fraction by 9 - 2i:

[tex]\displaystyle =\frac{6i}{9+2i}\left(\frac{9-2i}{9-2i}\right)[/tex]

Multiply:

[tex]\displaystyle = \frac{6i(9-2i)}{(9+2i)(9-2i)}[/tex]

Difference of two squares:

[tex]\displaystyle = \frac{6i(9-2i)}{(9)^2 -(2i)^2}[/tex]

Simplify:

[tex]\displaystyle = \frac{54i-12i^2}{(81)-(4i^2)} = \frac{54i-(-12)}{81-(-4)} = \frac{12+54i}{85}[/tex]

Hence, our answer is D.

Answer:

A. a=-1 , b=2

That is the favourable answer

Cube have 6 faces.

hope it helps

tq

2 | 6,4,8

2 | 3,2,4

2 | 3,1,2

3 | 3,1,1

LCM=2×2×2×3=24

Date given=1st jan

[tex]\\ \qquad\quad\sf\longmapsto 1+24=25thJan[/tex]

Answer:

1. 2 lines that are at equal distance from each other and will never meet

  2 rays/lines that meet at a point

  A round shape whose outline is equal distance from the center.

  Lines that meet at an 90° angle

3. [tex]\sqrt{106}[/tex] or 10.29563014......

Ummm... We can't see the 5th question

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:

Step-by-step explanation:

E ⊂ F ⊂ G

Answer:

They make $115,109.10 per year.

Step-by-step explanation:

Solve how much workers make per week:

94.74 × 24.3

2302.182

Solve for 50 weeks:

2302.182 × 50

115109.1