5) Phillip earns $11.25 per hour. During Week 1, he worked h hours. During Week 2, he worked 8
hours more than Week 1. If Phillip earned $540 for both weeks, how many hours did he work
during Week 2?

Answers

Answer 1

Answer:

2,160 Hours

Step-by-step explanation:

Ok so usual i would split $540 in half so a number multiplied by two would end up as 540, and i got 270. So since each week we know Phillip earned $270 and $11.25 a hour, we can divide 270 by 11.25, which gives us $24, so that means h = 24, but on week 2 it says Phillip worked 8 hours more on week 2, so that gives us a equation of 8 x 11.25, which comes out to 90, so now we can move on to our final equation, 90 x 24, which equals 2160. Im so sorry if this is wrong

Answer 2

Phillip worked for 20 hours and 28 hours in 1 and 2 weeks respectively.

What is unit rate?

A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.

Given that, Phillip earns $11.25 per hour. During Week 1, he worked h hours. During Week 2, he worked 8 hours more than Week 1. Phillip earned $540 for both weeks,

The unit rate for the work of Phillip is given, $11.25 per hour.

Therefore, his earning for h hours = $11.25h

For (8+h) hours = $11.25(h+8)

Since, he earned $540 for both weeks,

Therefore,

11.25(h+8) + 11.25h = 540

11.25h + 90 + 11.25h = 540

22.5h = 450

h = 20

h+8 = 28

Hence, Phillip worked for 20 hours and 28 hours in 1 and 2 weeks respectively.

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Related Questions

Tell whether the angles are adjacent or vertical. Then find the value of x. x =?

Answers

Answer:

The triangle of the 360 squared by the square

The difference of 10x and 3x is less than or equal to the sum of 4x and 21.

Answers

Answer:

«means less than or equal to

x«7

Step-by-step explanation:

10x-3x«4x+21

7x«4x+21

7x-4x«21

3x«21

divide both sides by 3

x«21/3

3 will divide 21, 7times

x«7

the table above shows the number of miles four different cars traveled and the amount of gasoline each car consumed. which car has the best mileage?

PLEASE HELP

Answers

Answer:

A. Pontiac

Step-by-step explanation:

Camry's mileage = Miles travelled / gallons of fuel used

= 196 / 11

= 17.82

Pontiacs mileage = Miles travelled / gallons of fuel used

= 220 / 13

= 16.92

Bluck's mileage = Miles travelled / gallons of fuel used

= 356 / 15

= 22.25

Toyotas mileage = Miles travelled / gallons of fuel used

= 583 / 21

= 27.76

The car with the best mileage is Pontiac

whaz upppppppppppppp​

Answers

Answer:

Hellp

Step-by-step explanation:

Answer:

what's up how's it going

Solve (2x – 1)2 = 9.
Question 19 options:

A)

x = –2, 1

B)

x = 2, 1

C)

x = 2, –1

D)

x = –2, –1

Answers

C because you would need to simplify the xy to the equation :)
Take the square root of each side of the equation to set up the solution for
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1

Find the sum.
(8b + 8) + (7m – 2) + (4n + 4)
(8b + 8) + (7m - 2) + (4n + 4) =
(Simplify your answer.)

Answers

Answer:

8b + 7m + 4n = -10

Step-by-step explanation:

(8b + 8) + (7m – 2) + (4n + 4)

First thing to do is to try to open the brackets, so we have

8b + 8 + 7m - 2 + 4n + 4 =

Next, we collect like terms, so that we have

8b + 7m + 4n + 8 - 2 + 4 =

8b + 7m + 4n + 10 =

And rearranging, we have that

8b + 7m + 4n = -10

Find the slope of the line through each pair of points (5, 18), (15, -17)

Answers

Answer:

-3.5

Step-by-step explanation:

Slope of the line

[tex] = \frac{ - 17 - 18}{15 - 5} = \frac{ - 35}{10} = - 3.5 \\ [/tex]

Evaluate the step function for the given input values.
-4, -35 x < -1
-1, -1sx<2
g(x) =
3, 25x< 4
5, x 24
9(2) =
g(-2) =
g(5) =

Answers

Answer:

I would, but the way this is set up is VERY confusing. sorry. maybe try to fix it after copying and pasting to make sure it makes sense.

The evaluated values of the step function for the given input values are as g(-2) = -4, g(2) = 3, and g(5) = 5.

To evaluate the step function g(x) for the given input values, we need to follow the conditions specified for each interval.

Given the step function:

g(x) =

-4, x < -1

-1, -1 ≤ x < 2

3, 2 ≤ x < 4

5, x ≥ 4

Let's evaluate the step function for each input:

g(-2):

Since -2 is less than -1, the condition for the first interval is satisfied. Therefore, g(-2) = -4.

g(2):

Since 2 is less than or equal to 4, the condition for the second interval is satisfied.  Therefore, g(2) = 3.

g(5):

Since 5 is greater than or equal to 4, the condition for the last interval is satisfied. Therefore, g(5) = 5.

Hence, we have:

g(-2) = -4

g(2) = 3

g(5) = 5

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how many solutions does -2(14-12x)= -4(10-6x) have ?

Answers

Answer:

infinite

Step-by-step explanation:

-4(a-12) help me because I am really confused

Answers

Answer:

-4a+48

Step-by-step explanation:

Using the distributive property, you would multiply -4 with the values inside the brackets, which are a and -12.

-4*a + (-4*(-12))

= -4a+(48)

= -4a+48

Hope this helps!

Answer:

-4a+48

Step-by-step explanation:

Multiply -4 to a and -12

-4a+48

6th grade math i mark as brainliest​

Answers

The answer would be C, sorry if I’m wrong

Please help I'll give you brainliest and a lot of points

Answers

Answer:

about 50

Step-by-step explanation:

they a move up 5 minutes eace half mile

dont come at me if it is wrong :)

plzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

2x & 3x

Step-by-step explanation:

sum: 2x + 3x = 5x

product: 2x * 3x = 6[tex]x^{2}[/tex]

I WILL GIVE BRAINLIEST IF CORRECT!!!!!!!!
Mrs. Kunannan checked her class rosters at the beginning of the year. The ratio of girls to boys in her class is 3 to 7. If she has 50 total students in her class, how many students are boys?

Answers

Answer:

35

Step-by-step explanation:

HELPPPPPP URGENT HELP NEEDED!!!!! 1ST RESPONSE WITHJ EXPLANATION GETS BRAINLIEST!!!
Write the equation of a line going through (-3,1) and (-2,4) in point slope form using the slope you got ( I got -3 for slope) and the first point given.

Answers

Answer:

y = -3x + 10

Step-by-step explanation:

y = mx + b

plug in numbers to the equation

1 = (-3)(-3) + b

multiply the slope -3 and -3

1 = (9) + b

subtract 9 from both sides

-8 = b

Now plug in the slope and b

y = -3x - 8

Answer:

The equation I got was y= 3x + 10

Step-by-step explanation:

All you need to do is use the formula y= mx + b.

How is the Pythagorean theorem related to the distance formula?Explain.

Answers

Answer:

If you plot 2 points on a graph right, you can form a triangle between the 2 points. You can determine the legs's sizes using the coordinates of the points. Pythagorean theorem is then used to find the hypotenuse, which IS the distance from one point to the other. Hope that helps.

Step-by-step explanation:

Answer:

Sample Response: Both formulas can be used to find the distance between two points on the coordinate plane. The vertical leg of the right triangle represents the difference in the y values of the two points. The 

Step-by-step explanation:

-3x + 18 = 6

x = ___
show work please

Answers

Answer:

x=4

Step-by-step explanation:

-3x + 18 = 6

First, we have to get x alone. So, we have to subtract 18 from 6.

6 - 18 = -12

-3x = -12

-12/-3 = 4

x=4

What is the inverse of the function f(x) = one-quarterx – 12? h(x) = 48x – 4 h(x) = 48x + 4 h(x) = 4x – 48 h(x) = 4x + 48

Answers

Answer:

The inverse of the function f(x) is h(x) = 4x + 48(D)

Step-by-step explanation:

To find the inverse of a function do these steps

Replace f(x) by ySwitch x and ySolve to find the new yReplace y by [tex]f^{-1}[/tex](x)

Let us do these steps to solve the equation

f(x) = [tex]\frac{1}{4}[/tex]x - 12

→ Replace f(x) by y

∴ y = [tex]\frac{1}{4}[/tex]x - 12

→ Switch x and y

x =  [tex]\frac{1}{4}[/tex]y - 12

→ Add 12 to both sides

∵ x + 12 =  [tex]\frac{1}{4}[/tex]y - 12 + 12

∴ x + 12 =  [tex]\frac{1}{4}[/tex]y

→ Multiply each term by 4

∵ 4(x) + 4(12) = 4([tex]\frac{1}{4}[/tex]y)

∴ 4x + 48 = y

→ Switch the two sides

y = 4x + 48

→ Replace y by h(x)

∴ h(x) = 4x + 48

The inverse of the function f(x) is h(x) = 4x + 48

Answer:

h(x) = 4x + 48 ⇒ (D)

Step-by-step explanation:

i just did it

The average person laughs 15 times per day.

Answers

really? i didn’t know.
Gosh I need to start laughing more then

El administrador de una cafetería sabe que vende diariamente 50 litros de jugo mixto. Para elaborar este jugo se emplean dos preparados: uno de jugo de naranja, que contiene un 5% de jugo natural y otro preparado de jugo de toronja, que contiene 25% de jugo natural. Si se desea que el jugo mixto contenga un 10% de jugo natural ¿Cuántos litros de cada preparado se deben emplear?

Answers

Answer:

Se necesitan 37.5 litros del preparado que contiene 5% de jugo natural, y 12.5 litros del que contiene 25%.

Step-by-step explanation:

Primero calculamos la cantidad total de jugo natural que se necesita, a partir del volumen de jugo mixto que se quiere vender:

50 L * 10/100 = 5 L

Ahora, que X sean los litros del preparado con jugo de 5%, y que Y sean los litros del preparado con jugo de 25%:

La suma de ambos preparados tiene que ser 50 L:

1.    x + y = 50

La suma del jugo natural tiene que ser 5:

2.   x*5/100 + y*25/100 = 5

Por lo que tenemos un sistema de dos ecuaciones y dos incognitas.

Expresamos x en términos de y:

x + y = 50x = 50 - y

Reemplazamos x en la segunda ecuación:

(50-y)*5/100 + y*25/100 = 5

Y despejamos y:

2.5 - 0.05y + 0.25y = 50.20y = 2.5y = 12.5

Usando ese valor de y, calculamos x:

x + 12.5 = 50x = 37.5

Solve the equation by completing the square.

6x^2-12x-16=2

Answers

X=3,-1 is the correct answer. Completing the square means writing a quadratic in the form of a squared bracket and adding a constant if necessary.

Write a compound inequality for the graph shown

Answers

Answer:

-1 ≤ x < 6 [ x ≥ -1 and x < 6 ]

Step-by-step explanation:

This is correct

Which of the following is equivalent to (8-5) ÷ 2 to the third power?
A. 3/8
B. 19/8
C. 27/8
D. 1/125​

Answers

Answer: 27/8
Work:
8-5=3
3/2=1.5
1.5 to the 3rd is 3.375
Put 3.375 into a fraction you get 27/8

The required value is 27/8, which is determined when we compute the expression (8-5) ÷ 2 raised to the third power. Thus, the option (C) is correct.

To find the equivalent expression to (8-5) ÷ 2 raised to the third power, we first simplify the expression inside the parentheses:

(8-5) ÷ 2 = 3 ÷ 2.

Next, we raise this simplified expression to the third power:

(3 ÷ 2)³

To evaluate this, we cube both the numerator and denominator:

(3^3) ÷ (2³) = 27 ÷ 8.

Therefore, the expression (8-5) ÷ 2 to the third power is equivalent to 27/8.

Hence, the correct answer is option C: 27/8.

This means that 27/8 is the value we get when we compute the expression (8-5) ÷ 2 raised to the third power.

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find the slope of the line that passes through (8,6) and (4,1).​

Answers

Answer:

[tex] \frac{5}{4} [/tex]

Step-by-step explanation:

Slope [tex] = \frac{y2 - y1}{x2 - x1} [/tex]where y2=1 , y1=6 , x2=4 , x1=8.

Please hurryy
Find the slope of a line that goes through these two points: (4, -7) and (3,
-8)

Answers

Answer:

1

Step-by-step explanation:

x - 35 > 15 I cant figure this out pls help me 5 pts

Answers

Answer:

x can be anything higher than 45. For example, x can be 50. That would be 20 (or x) is greater than (>) 15.

Step-by-step explanation:

Hope this helps. If you found it useful, brainliest would be great.

will give brainliest. Which of the binomials below is a factor of this trinomial? 3x^2+16x+ 5 A- 3x-5 B. 3x-1 C. 3x+1 D. 3x+5

Answers

Answer: 3x + 1

Step-by-step explanation:

A p e x

Find (f - g)(x)

f(x) = 3x2 – 2x
g(x) = 9x2 - X+7

A. -6x2 - x-7
B. 6x2 – x+7
C. 12x2 - x-7
D. -6x2 – 3x-7

Answers

Answer:

A

Step-by-step explanation:

We have the two functions:

[tex]f(x)=3x^2-2x\text{ and } g(x)=9x^2-x+7\\[/tex]

And we want to find:

[tex](f-g)(x)[/tex]

This is equivalent to:

[tex]=f(x)-g(x)[/tex]

Hence, by substitution:

[tex]=(3x^2-2x)-(9x^2-x+7)[/tex]

Distribute:

[tex]=(3x^2-2x)+(-9x^2+x-7)[/tex]

Rearrange:

[tex]=(3x^2-9x^2)+(-2x+x)+(-7)[/tex]

Combine like terms:

[tex]=-6x^2-x-7[/tex]

Hence, our answer is A.

Answer:

Step-by-step explanation:

3x^2 - 2x - 9x^2 + x - 7

-6x^2 - x - 7

answer is A

Which of the following expressions represents "the difference of 8 and n"?
0-8 n
08-0
On-8

Answers

Answer:

n-8

Step-by-step explanation:

difference means subtraction so it can't be 8n which is multiplication or 8-0 because n is not represented.

Mark buys a wooden board that is feet long. The cost of the board is $1.50 per 5 1/4 foot, including tax. What is the total cost, in dollars, of Mark’s board

Answers

it would just be the tot foot time the cost

7.5 X 0.50 = $3.75
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