Carolina is mowing the lawn for a summer job. For each cutting job, she charges an initial fee of $ 8 plus $ 6 for each hour of work. 1-Write an equation (in the form y = mx + b) to represent this problem. 2-If Carolina is paid a total of $ 32, how many hours did she work?

Answers

Answer 1

Answer:

F(t) = 8 + 6(t)

Step-by-step explanation:

6*4 = 24

32-24 = 8

so her initial fee is $8

so function is:

F(t) = 8 + 6(t)

Answer 2

Answer:

1. y = 6x + 8

2. 4 hours.

Step-by-step explanation:

x is each hour of work.

y is the total that Carolina is paid.

y = mx + b

32 = 6(x) + 8

Subtract 8 from both sides.

6x = 32 - 8

6x = 24

Divide both sides by 6.

x = 4

Carolina is works 4 hours to be paid 32.


Related Questions

A monkey weighs 8.2 kilograms. How many grams does the monkey weigh? Use the number of zeros of the product when multiplying a number by a power of 10 to help you.

Answers

Answer:

m = 8.2 × 10³ grams

Step-by-step explanation:

Given that,

The weight of a monkey = 8.2 kilograms.

We need to convert its mass from kilograms to grams.

We know that,

1 kg = 1000 grams

or

1 kg = 10³ grams

In 8.2 kg,

8.2 kg = 8.2 × 10³ grams

Hence, the weight of the monkey is equal to 8.2 × 10³ grams.

name some jobs that include math on a daily bases.

Answers

Answer:

Statisticians and Mathematicians. Statisticians use math on a daily basis. ...

Engineers and Architects. Correct use of math is a critical skill for engineers and architects to ensure that the buildings and structures they build are safe.

Healthcare Professionals. ...

Cryptographers. ...

Programmers and Designers. ...

Scientists. ...

Step-by-step explanation:

what is the unknown fraction 2/10 +__=67/100

Answers

47/1000.2 + x = 0.67subtract 0.2 from both sidesx = 0.47

A watering can contained 512 quarts water. After all the plants were watered, only 4 cups remained. How many cups of water were used to water the plants?

Answers

Answer:

2044 cups

Step-by-step explanation:

number of cups left = number of cups in the watering can - number of cups remaining

convert the capacity of the watering can to cups

1 quart = 4 cups

512 x 4 = 2048

2048 - 4 = 2044

What is the growth or slope of the simplified equation? NEED ANSWER ASAP

Answers

Answer:

Slope is 5.

Step-by-step explanation:

y + 3x = 8x -7

y = 5x - 7

coefficient in front of x is the slope/rate of change once you get the equation slope intercept for y = mx + b.  m is the slope.



Three people take 2 hours to deliver leaflets to 270 houses.
Assuming all people deliver leaflets at the same rate, how long will it take five people to deliver
leaflets to 405 houses?
Give your answer in hours and minutes

Answers

Answer:

1 hour and 48 minutes

Step-by-step explanation:

270/2 hours = 135 per hour for 3 people

135/3 people = 45, so each person delivers 45 per hour

45 x 5 people =225 per hour

405/225 = 1.8 hours

It will take 1.8 hours for five people to deliver leaflets to 405 houses.

Given that, 3 people take 2 hours to deliver leaflets to 270 houses.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Here,

270/2 hours = 135 leaflets per hour for 3 people

135/3 people = 45, so each person delivers 45 leaflets per hour

45 x 5 people =225 per hour

405/225 = 1.8 hours

Hence, it will take 1.8 hours for five people to deliver leaflets to 405 houses.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

11 (6 - y) = ??


THANK YOUUU

Answers

Answer:

The Answer is gonna be 66-11y

EXPLANATION :

11 (6 - y)

11x6=66

11(y)=11y

So we will get 66-11y

From the set {5, 15, 23), which of the values can be substituted for m to make the
equation true.

4 + m < 19

A. 15
B. none of these
C. 23
D. 5

Answers

Answer:

its A and i am sure her is the explanation

Step-by-step explanation:

m<19-4m<15

A family has two cars. The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of 40 miles per gallon of gas. During one particular week, the two cars went a combined total of 1100 miles, for a total gas consumption of 35 gallons. How many gallons were consumed by each of the two cars that week?

Answers

Answer:

Car 1 consumed 15 gallons, and Car 2 consumed 20 gallons.

Step-by-step explanation:

fuel efficiency = distance in miles/gallons of gas

fuel efficiency * gallons of gas = distance in miles

Car 1: 20 mpg

Car 2: 40 mpg

Total miles: 1100

Miles of Car 1: x

Miles of Car 2: 1100 - x

Total gallons: 35

Gallons for Car 1: y

Gallons for Car 2: 35 - y

Car 1:

fuel efficiency * gallons of gas = distance in miles

20 * y = x

Car 2:

fuel efficiency * gallons of gas = distance in miles

40 * (35 - y) = 1100 - x

20y = x

1400 - 40y = 1100 - x

20y = x

x = 40y - 300

40y - 300 = 20y

20y = 300

y = 15

35 - y = 35 - 15 = 20

Car 1 consumed 15 gallons, and Car 2 consumed 20 gallons.

plz help and no spam plz. A large university accepts 60% of the students who apply. Of the students the
university accepts, 35% actually enroll. If 10,000 students apply, how many actually enroll?

Answers

2,600 students actually enroll.

Answer:

2100

Step-by-step explanation:

60%=0.6

35%=0.35

0.6*0.35=0.21

0.21*10000=2100

What is 60 x blank = 300?

Answers

Answer:

5

Step-by-step explanation:

300/60=5

Answer:

60 multiplied by 5 gives 300..

Step-by-step explanation:

find the area of each circle (use pi =3.14)

16mm ​

Answers

Answer:

200.96

803.84

Step-by-step explanation:

I wasn't sure if 16mm was the radius or diameter. If it's the diameter then use the first answer. If it was the radius then use the second answer.

In order to find the area of a circle use equation

[tex]A=\pi r^2[/tex]

r = radius, which is half of the line along the circle. If you have the diameter simply divide it by two and you have the radius.

find z and x please

Answers

Answer:

x = 20

X was found using the Pythagorean theorem

Step-by-step explanation:

Nadia sells earthworms to fishermen. She charges 75 cents for a dozen worms. Yesterday she sold 48 worms. How much money did she make?

Answers

Answer:

I believe she sold 3 dollars

Step-by-step explanation:

if this helps please give me a crown

Answer:

$3.00

HOPE THIS HELPS :)

How would you evaluate this?

Answers

Answer:

28

Step-by-step explanation:

Im from the long comment this is the answer

576+b^2=900

b^2=324

√324

b= 18

so 18+10 = 28

find the solution of given expression

[tex] \sqrt{98 \times 2} [/tex]

Answers

Answer:

solution:

[tex] \sqrt{98 \times 2} [/tex]=[tex] \sqrt{196} [/tex]=[tex] \sqrt{14²} [/tex]=±14 is your answer

Answer:

[tex]\sqrt{98\cdot \:2}[/tex]

[tex]=\sqrt{196}[/tex]

[tex]=\sqrt{14^2}[/tex]

[tex]=14[/tex]

OAmalOHopeO

what is the minus 60 plus 40 =x plus y= x+9

Answers

60+40=x

y=x+9

MInus

x=100

y=109

Diffrence 9

Answer:

x = -20

y = -11

Find the area of the given figure. Show your work!

Answers

The area of the figure above is 53

No links please
The sum of two numbers is 147. The difference of the two numbers is 25.
What are the two numbers? Show your work.

Answers

86 and 61.

x + y = 147
x - y = 25

I always found second setting that second equation up was hardest. How do I know which one comes first? You just keep them in the same order as the first math equation.

So let’s solve for x in terms of y:
x - y = 25
x = 25 + y

Then substitute that into your first equation:
x + y = 147
(25 + y) + y = 147
2y = 122
y = 61

x = 25 + y = 25 + 61 = 86

If f(x)=5x0+4x-3 then f(a)=

Answers

Answer:

f=

1

/4

y+

−1

/2

Step-by-step explanation:

Let's solve for f.

y=5x^0+4x−3

Step 1: Flip the equation.

4x+2=y

Step 2: Add -2 to both sides.

4x+2+−2=y+−2

4x=y−2

Step 3: Divide both sides by 4.

4x

/4

=

y−2

/4

x=

1

/4

y+

−1

/2

=f=

1

/4

y+

−1

/2

brainliest please?

Look at the graph what type of transformation has occurred

Answers

Wait I’m confused can we at least see the picture

Help me, please !!!!!

Answers

Answer: 100

Hi!

ok so the Pythagorean theorem is

[tex]c=\sqrt{x} a^2+b^2=\sqrt{x} 8^2+6^2=10[/tex]

so the other side is 10.

the square 8 is 8*8

and square 6 is 6*6

so the other square is 10*10=100.

so the area of the blank square is 100.

Step-by-step explanation:

Can I have brainliest?

Thanks!

Have a nice day!

please help and dont answer if u dont know

Answers

A. 1/36.
There is a 1/6 chance of getting a letter. To get multiple you must multiply them together. 1/6 times 1/6 is 1/36

Answer: C. 1/6

Because there are 6 cards and each letter is different, so there is a 1 out of 6 chance of getting B.

What are the factors of the product represented below?
A. (3x + 1) (2x + 2)
B. (3x^3 + 2)(3x^3 + 2)
C. (3x + 1x)(3x + 2)
D. (3x + 2)(3x + 1)

Answers

Answer:

D.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

ENGAGEMENT: Is This Enough?
Solomon thinks that this figure has enough information to figure out the values of
a and b.
90°
a
7
Do you agree? Explain your reasoning,

Answers

Answer:

Step-by-step explanation:

Little help on this?

Answers

Answer:

c

Step-by-step explanation:

Answer:

(4,8) , is not a solution of the linear equation

hope it helps

A scale drawing of a building needs to be made using the scale 1 in = 200 ft. How tall will the building in the scale drawing be if the building is 2000 ft tall?
The height of the building in the scale drawing will be in. (Simplify your answer.)
Enter your answer in the answer box and then click Check Answer.
All parts showing
Clear All
Type here to search
О

Answers

10in would be the appropriate scale factor for the drawing. 2000 is 10x200. If each inch represents 200 feet, then you would need 10 to reach the desired scale factor of the original building

56 magazines to 35 books

Answers

Answer:5:3

Step-by-step explanation:

Answer:

Mango is the answer

Step-by-step explanation:

PLEASE HELP! I don’t understand

Answers

hi! the x-intercepts are (-5,0) and (-3,0). If it is asking what x is then x=-5 and x=-3
x intercepts are the points of the parabola that hit the x-axis.
hope i could help!! pls mark brainliest!!

An art teacher makes a batch of purple paint by mixing 34 cup red paint with 34 cup blue paint. If she mixes 13 batches, how many cups of purple paint will she have?

Answers

Answer: 19 and 1/2 cups

Step-by-step explanation:

write out the problem then do 3/4 then multiply by 13. Next, multiply the answer by 2.

Hope this helps!

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