rearranging formulae y=4x+3

Answer: Cheryl earns $6.20 more per hour.

Step-by-step explanation:

$/hr    OT   $/hr OT

 18     1.5      27

 16.6    2       33.2

Cheryl wins the overtime pay rate with $33.20/hr OT (OverTime).  She earns $6.20 more per hour.  [How's it feel, Colby?].

Cheryl earns more from overtime than Colby by $6.2 per hour.

Given that,
Colby regularly earns $18 per hour, and he is paid time-and-a-half for each hour of overtime he works.
Cheryl regularly earns $16.60 per hour, and she is paid double time for an hour of overtime.
To determine who earns more for one hour of overtime and wow much more.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
From given
The factor of earning overtime for Colby = 1.5
earning of from overtime for an hour of Colby = 18 * 1.5 = $27
The factor of earning overtime for Cheryl = 2
earning of from overtime for an hour of Cheryl  = 16.60 * 2= $33.20

So,
33.20 > 27
Implies
Their overtime earnings

of Cheryl is greater than Colby's by 33.20 - 27 = $6.2 per hour.

Thus, Cheryl earns more from overtime than Colby by $6.2 per hour.

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Answer:

use the formula( I=PTR/100)

Answer:

s ≈ - 0.5 , s ≈ 8.5

Step-by-step explanation:

s² - 8s - 4 = 0 ( add 4 to both sides )

s² - 8s = 4

To complete the square

add ( half the coefficient of the s- term )² to both sides

s² + 2(- 4)s + 16 = 4 + 16

(s - 4)² = 20 ( take square root of both sides )

s - 4 = ± [tex]\sqrt{20}[/tex] ( add 4 to both sides )

s = 4 ± [tex]\sqrt{20}[/tex]

Then

s = 4 - [tex]\sqrt{20}[/tex] ≈ - 0.5 ( to the nearest tenth ) ← smaller solution

s = 4 + [tex]\sqrt{20}[/tex] ≈ 8.5 ( to the nearest tenth ) ← larger solution

Answer:

B) 5/7

Step-by-step explanation:

...............

Answer:

b) 5/7

Step-by-step explanation:

rise/run

Answer:

6 or 3 because my is the opposite of yx so I would think it'll be 6 or 3

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

let's evaluate ~

Therefore , the correct choice is ~ A

Answer:

0.217

Step-by-step explanation:

hope this helps. . .<3

good luck!    uωu

200.017

Thousandths is the third digit after the decimal.

Answer:

3 miles

Step-by-step explanation:

6 total miles

3 miles done

6 (total) = 3 (done) + x (unknown)

x = 6 - 3

x = 3

3 miles left to hike

Answer:

1/3 and you divide

Step-by-step explanation:

41/2 = 9/2

3/4 ÷ 9/2

3/4 ×2/9 = 6/18

6/18 = 1/3

Answer:

Step-by-step explanation:

Okay. 4 and 1/2 simplifies to the improper fraction, 9/2. And 3/4 of it would mean we MULTIPLY it by the total, 9/2 pounds. (Whenever we see OF, we know that the operation is multiplication.) I think that you can do the rest from here, but I'll include a solution at the bottom if you still need help.

...

(9/2)*(3/4)=(9*3)/(2*4)=27/8=3 and 3/8 pounds of flour used to make brownies.

Hope this helps! Good luck! :)

9514 1404 393

Answer:

  (d)  28

Step-by-step explanation:

When you are asked to evaluate g(n) for some value of n, put that value where n is and do the arithmetic.

  g(n) = 3n -2

  g(10) = 3·10 -2

  = 30 -2 = 28

Answer:364

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

   = ( 60-30)/(6-0)

   = 30/6 = 5

Now using a second set of points and the slope we can find p (0,30) and (p,90)

5 = ( y2-y1)/(x2-x1)

5 = (90-30)/(p-0)

5 = 60/p

Multiply each side by p

5p = 60

Divide by 5

p =60/5

p = 12

Answer:

[tex]n\geq 8[/tex]

Step-by-step explanation:

n/4-1[tex]\geq[/tex]4

n-4[tex]\geq[/tex]4 (move constant to right)

n[tex]\geq[/tex]4+4 (calculate)

n[tex]\geq 8[/tex]

Answer:

4.38, aka 219/50

Step-by-step explanation:

Answer:

$624

Step-by-step explanation:

650 * .80 = 520

520 * 1.20 = 624

Answer:

x=3-2i

Step-by-step explanation:

According to my calculations, this should be good

Answer:

x=12,y=-8

Step-by-step explanation:

7x=84

x=84/7=12

12y=7x-180=7*12-180=84-180=-96

y=-96/12=-8

The solution of 7x-12y=180 is x = 12 and y =-8.

An equation is made up of two algebraic expressions with the same value and the sign "=" in between.

Given, the equation;

7x-12y=180  {equation 1}

And 7x = 84

x = 84/7

x = 12

Substitute the value of x to the equation 1,

7(12) - 12y = 180

12y = 84 - 180

y = -96/12

y = -8

Therefore, x = 12 and y = -8 is the solution.

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Answer:

G^−1(x)=3√x+1+1      

Step-by-step explanation:

Answer:

[tex]g^{-1}(x)[/tex]= [tex]\sqrt[3]{x+1}[/tex]+1

Step-by-step explanation:

To find the inverse, swap x and y.

g(x)=(x-1)^3-1

-> x=(y-1)^3-1

Solve the equation in terms of y.

x=(y-1)^3-1

x+1=(y-1)^3

[tex]\sqrt[3]{x+1}[/tex]=y-1

[tex]\sqrt[3]{x+1}[/tex]+1=y

Answer:

Step-by-step explanation:

Answer:

76

Step-by-step explanation:

Answer:

76

Step-by-step explanation:

.28 is less than .50 therfore it will be rounded down to 76

Answer:

Step-by-step explanation:

Option C 1 and 3 is the correct answer

Answer:

5:4

Step-by-step explanation:

Answer:

5:4

Step-by-step explanation:

To simplify the ratio 15:12, we find the greatest common divisor of 15 and 12, and then we divide 15 and 12 by the greatest common divisor.

The greatest common divisor that you can use to simplify 15:12 is 3. Which means the answer to ratio 15:12 simplified is:

5:4

Answer:

35.325 in³

Step-by-step explanation:

Since the base of a cylinder is a circle,

area of cylinder= πr²h

Radius, r

= diameter ÷2

= 3 ÷2

= 1.5 inches

Volume of can

= 3.14(1.5)²(5)

= 35.325 in³

Answer:

Noah would pay $40 each month

The discount Noah received decreased the amount he pays by $5 every month.

Total discount in 8 months = 8 x $5 = $40

If Noah stopped using autopay, he would have to pay the full amount

Without the discount, the total amount Noah would pay in 8 months = amount paid without discount + total discount amount

$280 + $40 = $320

Amount Noah would pay per month = Total amount he pays in 8 months without discount / 8

$320 / 8 = $40

Answer:

Step-by-step explanation:

write an equation to present total (T) that each team has raised after selling (x) number of raffle tickets

Volleyball Team:  T(V) = 2.50x(V)

The problem staes use x for the number of tickets, but I've noted these numbers as a function of basketball, x(B), and volleyball, x(V).

We know the amounts each team has raised, sio we can calculate the number of tickets:

Basketball

 $275 = $4.50x(B)

x(B) = 61.11  [There can't be 0.11 ticket, so round down to 61 and declay an error in making change]:  61 tickets from the Baseball team

 $500 = $2.50x(V)

x(V) = 200 tickets from the Volleyball team

---

"write an equation that would represent when the basketball team would have more money than the volleyball team."

We want the ratio of T(B) to T(V) to be greater than 1 [the total basketball sales are greater than the total Volleyball sales.]

T(B)/T(V) = ($4.50x(B))/($2.50x(V))

1 <= ($4.50/$2.50)*(x(B)/x(V))

1 <= 1.8(x(B)/x(V))

x(V) <= 1.8*(x(B))

The baseball team needs to sell 1.8 times the number of tickets sold by the baseball team.

----

The basketball team is jealous and wants to know how many more tickets they need to sell to catch up with the volleyballers.

To reach $500:

 $500 = $4.50*x(B)

x(B) = 111.11  (Another rounding problem, but we don't need to worry.  It wants to kniow "how many MORE."

(111.11 - 61.11) = 50 more tickets to reach the same $500 the Volleyball team has collected.

Answer:

your answer is 0.8 mph

Step-by-step explanation:

i hope i help you

Step-by-step explanation:

according to angle sum property of triangle

sum of all 3 angles of triangle is 180°

and here it is given that the Pentagon is divided in 3 triangles,

now,

3×180 = 540°

therefore, option C 540° is correct

hope this answer helps you dear! take care

Answer:

540

Step-by-step explanation:

Each triangle only has 180 degrees

We have 3 triangle, 180 + 180 + 180 = 540 degrees

Answer:

250

Step-by-step explanation:

1 year= 2% of 500 (10)

25 years= 25*10

250

Hope this helps!

Answer:

1 box = 14 crackers.

Step-by-step explanation:

7 boxes = 98 crackers

=> [tex]\frac{7 boxes}{7} = \frac{98 crackers}{7}[/tex]

=> 1 box = 14 crackers.

Therefore, each box will have 14 crackers.

Hoped this helped.

[tex]GenuisUser[/tex]

Answer:

1111001

Step-by-step explanation:

1011

×1011

—————

1111001

Answer:

Step-by-step explanation:

         1 1

        1 1

         1 1

       1 1

     ----------

    1 0 0 1

What do you have?

8 4 2 units

1  0 0 1

1 + 8 = 9

3 * 3 = 9