Please help me solve this.

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:

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:

Step-by-step explanation:

E ⊂ F ⊂ G

Answer:

C

Step-by-step explanation:

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

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

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:

the addition property of equality

.the multiplication property of equality

Step-by-step explanation:

1/3x - 6 =11

Add 6 to each side using the addition property of equality

1/3x-6+6 = 11+6

1/3x = 17

Multiply each side by 3, using the multiplication property of equality

1/3x *3 = 17*3

x = 54

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:

- (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:

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:

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:

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].

Step-by-step explanation:

i hope it helped U

Answer:

dannyduncan69.com

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

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.

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Explanation:

Hakim and Aziz have savings in the ratio 3:5. This means that Hakim has 3x dollars while Aziz has 5x dollars. The x is some positive real number.

We're then told that Hakim saved another $82, which means it goes from 3x to 3x+82

At the same time, Aziz spent $110 which means the 5x decreases to 5x-110

At this point, the two people have the same amount of money. Set the expressions we found equal to one another and solve for x.

3x+82 = 5x-110

3x-5x = -110-82

-2x = -192

x = -192/(-2)

x = 96

Then use this x value to compute each expression like so

Both have $370 after Hakim saved that additional $82 and after Aziz spent that $110.

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

Extra info:

If we rewind things a bit, Hakim would have 3*x = 3*96 = 288 dollars while Aziz would have 5x = 5*96 = 480 dollars. This is before any additional saving or spending.

Then note how the ratio 288:480 fully reduces to 3:5 after dividing both parts by the GCF 96.

Answer Hi! you would do 15.34- 5.75

so do 75-34 =  41 and then 15- 5 = 10 so your anwser is -10.41 MAKE SURE ITS NEGTIVE

Step-by-step explanation:

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:

10000

Step-by-step explanation:

yep

that is the answer

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:

x^2 - 2x - 15 = 0.

Step-by-step explanation:

x^2 - 2x - 3 = 0

(x - 3)(x + 1) = 0

So alpha and beta are -1 and 3.

So the roots of the required equation are 2(-1)-1 and 2(3) - 1

= -3, 5.

So the equation is

(x - 5)(x + 3) = 0

-that is x^2 - 2x - 15 = 0

Answer:

Point B` should be 2.5 feet from the center. As 2.5*4=10 ,therefore the scale factor is 4.

Step-by-step explanation:

is there suppose to be an attachment?

Answer:

A. a=-1 , b=2

That is the favourable answer

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