Write an equation for the following problem.

The cost of a babysitting service on a cruise is $10 for the first hour and $12 for each additional hour. If the total cost of

babysitting baby Aaron was $58, how many hours was Aaron at the sitter?


12x+10=58

10x+12=58


12x-58=10


10x+58=12

Answers

Answer 1

Answer:  Aaron was at the sitter for 5 hours

Step-by-step explanation:

12x + 10 = 58

the 12x is for each hour after the first hour and the 10 is the first hour

-10 from each side

12x = 48

/12

x = 4

4 additional hours plus the original hour

Answer 2
Answer: 12x+10=58

Explanation: $10 is the flat rate, so it only applies to one of the hours. It is not being multiplied by anything. Her hourly rate after that is $12 meanings the amount of money she makes depends on how many hours she works which is x. $58 is the end result so that is what the equation equals.

Related Questions

If bc+ad=b solve for a

Answers

Answer:

bc+ad=b

or,ad=b-bc

or,a=(b-bc)/d

Answer & Step-by-step explanation:

Ok, so to solve for a in this equation means that we need to write the equation from the point of view of a, instead of b, which is the way it is currently written.

bc + ad = b

The first thing to do is isolate a, we do this by dividing every term in this by a.

a = bc/a + ad/a + b/a

a = d(bc + b)

Now, we need to divide d from the equation.

FINAL ANSWER: a = b/d - bc/d

What is the slope of AB in parallelogram ABCD?

Answers

it’s D i believe :) rise over run. go up 10, over 4. divisible by 2, so 5 over 2

The slope of the line [tex]\overline{AB}[/tex] is the rate at which the line rises at a point.

[tex]\mathrm{The \ slope \ of \ \overline{AB} \ is \ D.} \ \dfrac{5}{2}}[/tex]

Reasons:

The slope of a line is given by the ratio of the rise to the run of the line

The coordinates of point A = (-9, -4)

The coordinates of point B = (-5, 6)

The rise of the line [tex]\overline{AB}[/tex] = The difference in the y-values = (6 - (-4)) = 10

The run of the line [tex]\overline{AB}[/tex] = The difference in the x-values = (-5 - (-9)) = 4

[tex]Slope \ of \ \overline{AB}= \dfrac{Rise \ of \ line \ \overline{AB}}{Run \ of \ line \ \overline{AB}}[/tex]

Therefore

[tex]Slope \ of \ \overline{AB}= \dfrac{10}{4} = \dfrac{5}{2}[/tex]

Learn more here:

https://brainly.com/question/12860056

Find the value of r in the triangle shown below.
X =
50°
41°

Answers

Answer:

89

Step-by-step explanation:

180 - (50 + 41)

180 - 91

89

.ie x= 89

because total sides of triangle = 180 degree

hope this answer helps!!!!

Ashley spent half her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $9. What is her weekly allowance if she ended with $15?
Show your work
please hurry up!!!

Answers

Her weekly allowance is 12$

15 total - 9 for car = 6 for half of allowance
6 + 6 = 12

Find all real values of x that satisfy the equation x^2 - 7x = 98.

Answers

du behöver först förenkla talet

x/2-7x=98

2-8x=98

98-2=96
7x/98=14

So x=14

please help ill give brainliest!

Answers

Answer:

3,14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

my teacher sent me a really passive aggressive email. any ideas of how to respond in a passive aggressive way without getting in trouble. here's some context for what the email was about. So I had to submit something online but I'm having issues doing it. I figured out a way to do it but he wants me to do it a different way. the way he wanted me to do it didn't work so I asked him if I could just do it my way. he told me that I'm the only one having the issue and asking him if it's ok to submit it my way would be a burden for him to grade(which honestly it wasn't, all it would take him is an extra minute) he also said that I should develop some persistence and figure out the issue. (this was an assignment due 2 months ago and the semester is almost over, he said that if I don't get it in I'll get a 0 for it. that's why I asked for him to grade it the way I submitted it.)

so any ideas on how to respond. ​

Answers

Answer: tell him " your way doesnt work many people have the same issue so im doing it my way"

Step-by-step explanation:thats job done

I kinda had the same issue before and Ik it SUCKS!!

Respond him by saying like “I really tried my best to follow your method and I tried many different ways to do it but it seems like that method doesn’t work for me somehow, so could you please accept my own method since I couldn’t do it in your way? My sincere apology for your inconvenience”

I made it as much formal as I can so that u don’t get in trouble haha.
But if he again sends aggressive email, report him or let your parents send email to them.

PLS HELP ASAP

What is the value of X?
The answer is 8 but I need to show the work pls help

Answers

Answer:

x = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Geometry

All angles in a triangle add up to 180°

Step-by-step explanation:

Step 1: Set up Equation

(7x - 1) + 80 + (6x - 3) = 180

Step 2: Solve for x

Combine like terms:                    13x + 76 = 180Isolate x term:                              13x = 104Isolate x:                                       x = 8

Answer: x = 8

Step-by-step explanation:

Hoped this helped

What is the constant of proportionality in the equation y=0.72x

Answers

Answer:

Constant: 0.72 = 18 : 25

Step-by-step explanation:

None

Find the length of the unknown side. Round your answer to the nearest whole number.

Pls help thx 19 points

Answers

Answer:

7 inches

Step-by-step explanation:

you have to use the Pythagorean Theorem

Answer:

10 inches

Step-by-step explanation:

Assuming one of angles is 30 degrees we can use the theorem leg opposite to 30 degree angle the hypotenuse will be double than the leg measurements so it is 10 inches.

Last month, an airline made 2,905 reservations for flights from Cleveland, Ohio to Newark, New Jersey. After 25 cancellations, there were still 18 full flights. Which airplane made the flights?

Answers

Jdidkdnnx dheisjdnd didn’t disks

Man travelled twofifth of his journey by train,onethird by bus, one fourth by car and thr remaining 3 km by foot . What is the length of his total journey

Answers

Answer:

180 km

Step-by-step explanation:

Let total length of journey = x

By train = 2/5x

By bus = 1/3x

By car = 1/4x

By foot = 3km

(2/5)x + (1/3)x + (1/4)x + 3 = x

L. C. M of 5, 3 and 4 = 60

(24x + 20x + 15x) / 60 = x

24x + 20x + 15x + 180= 60x

24x + 20x + 15x - 60x = - 180

-x = - 180

x = 180

Hence, total length of journey = 180km

Each person in a certain group supports only one of the two candidates R and T. Of the people in the group, 45 percent support Candidate R and the rest support Candidate T. How many people in the group are in favor of a flat tax

Answers

Missing Information:

Of the people in the group who support Candidate R, 58 percent are in favor of flat tax Of the people in the group who support Candidate T, 22 are in favor of a flat tax.

Answer:

[tex]Total = 26.1\%N + 22[/tex]

Step-by-step explanation:

Given

[tex]R = 45\%[/tex] --  [tex]Percentage[/tex] [tex]of\ R[/tex] in the total population

[tex]Favor\ Flat\ Tax = 58\%[/tex] in group R

[tex]Favor\ Flat\ Tax = 22[/tex] in group T

Required

Determine the number of people that supports T

First, the proportion of those that supports flax rate in R needs to be calculated.

[tex]Proportion = 45\% * 58\%[/tex]

[tex]Proportion = 26.1\%[/tex]

So, those that favor flat tax rate in group R are:

[tex]Favor\ Flat\ Tax = 26.1\%N[/tex]

Where N represents the total population.

Total number of people that supports the flax tax rate is gotten by adding  people that support flat tax rate in each group.

[tex]Total = Group\ R + Group\ T[/tex]

[tex]Total = 26.1\%N + 22[/tex]

Find the percent change from the first value to the second.

50; 35

Answers

Answer:

30

Step-by-step explanation:


Please help I don’t get it

Answers

Answer:

Alternate Interior Angles

Step-by-step explanation:

Angle 3 and angle 6 are inside the parallel lines and are opposite sides of the transversal line so, it'd be alternale interior angles.

Are 0.5 and 5 EQUAL TO EACH OTHER?

Answers

Answer: nope

Step-by-step explanation:

No, you would have to multiply .5 by 10 for them to be equal

Find the length of RS 40 10 9 8 A. 73 units B. About 8.5 units C. About 3.3 units D. 11 units​

Answers

Answer:

4,9

Step-by-step explanation:

Answer:

It's B

Step-by-step explanation:

Please help me with this

Answers

Answer:

6,561

39,204

25,575

52.5625 - 7.5625 = 45

Step-by-step explanation:

(i)

(81)^2

Use (a + b)^2 = a^2 + 2ab + b^2

(81)^2 = (80 + 1)^2 =

= 80^2 + 2 * 80 * 1 + 1^2

= 6400 + 160 + 1

= 6561

(ii)

(198)^2

Use (a - b)^2 = a^2 - 2ab + b^2

(198)^2 = (200 - 2)^2 =

= 200^2 - 2 * 200 * 2 + 2^2

= 40,000 - 800 + 4

= 39,204

(iii)

165 * 155

Use (a + b)(a - b) = a^2 - b^2

165 * 155 = (160 + 5)(160 - 5) =

= 160^2 - 5^2

= 25,600 - 25

= 25,575

(iv)

(7.25)^2 - (2.75)^2

Use a^2 - b^2 = (a + b)(a - b)

(7.25)^2 - (2.75)^2 =

= (7.25 + 2.75)(7.25 - 2.75)

= 10(4.5)

= 45

Latoya made 2 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for both necklaces was $8.40. If the beads cost $2.70 for each necklace, how much did each ppendant cost

I'll give brainiest if correct :)

Answers

Answer:

its 2.60 for each pendent

Please HELP!!!!!!!! THANK YOU!!!!!!!!

Answers

Answer:

200 animals is the correct answer to the first question.


What is true about the domain and range of the function?

A.The domain is all real numbers less than or equal to 4 and the
range is all real numbers such that -3 SS1

B. The doman is alrerumbers such thes-35251 and the
range is real numbers less than or equal to

c. The domain is alreal numbers, and the range is a real
numbers less than or equal to 4

D. The domains all real numbers less than or equal to 4 and the
range is all real numbers

Answers

Answer:

We are all smart but we do st*Upid things. very st*Upid things.

Step-by-step explanation:

A ball Is dropped from a height of 100'. The height of the ball can be determined using the equation h = -16t^2+ 100, Where H is the height, in feet, and T is the time in seconds. If age equals 0 Kama find all the values of T and determine whether the values are reasonable for this solution

Answers

Answer:

2.5secs

Step-by-step explanation:

Given the height of the ball modeled by the equation  h = -16t^2+ 100, where

h is the height

t is in seconds

We can find the time taken by the ball to reach the ground.

The ball reaches the ground when the height h = 0

Substitute h = 0 into the equation and find t;

0 = -16t^2+ 100

16t^2 = 100

t^2 = 100/16

t = √100/16

t = 10/4

t = 2.5secs

Hence the ball reaches the ground after 2.5secs

What is the equation of the line that passes through (-3,2) and is parallel to the graphed equation ?

Answers

Answer:

ikjhgtjyhtyhhyj

5th over 3 hour sessions and the first thing I have to do is

Step-by-step explanation:

the new gg64ar will come is present in the sky in 5

Which of the following expressions is not equivalent to (-2)(8 + 6 + -3)?
answers:
1. (-2)(8) + (-2)(6) + (-2)(-3)
2. (-2)(8 + 6) + (-2)(-3)
3. (-2)(8) + (-2)(6 + -3)
4. (-2)(8 + 6) + (-3)

Answers

Answer:

4

Step-by-step explanation:

Hope this helps. Pls give brainliest.

A. 48
B. 44
C. 52
D. 40

6. The sum of the ages of a father and his son is 74. Four years ago the
father's age was twice as old as his son. How old is the father now?​

Answers

Answer:

A (48)

Step-by-step explanation:

let the father's age = x and his son's age = y

according to the question,

the sum of their ages is 74

×+y=74......equation 1

four years ago (i.e x-4 & y-4) father's age was twice as old as his son

x-4=2(y-4)

or, x-4=2y-8

x-2y=-4.......equation 2

now, in equation 1

x+y=74

hence,

x=74-y

substituting the values in equation 2

x-2y=-4

(74-y)-2y=-4

74-y-2y=-4

74-3y=-4

74+4=3y

3y=78

y=78/3

y=26

Hence the kid is 26 years old

x+y=74

x+26=74

x=74-26

x=48

Hence the dad is 48 years old

Answer:

The correct answer is: Option A: 48

Step-by-step explanation:

Let x be the present age of father and y be the present age of son

Given that

"The sum of the ages of a father and his son is 74"

[tex]x+y = 74\ \ \ Eqn\ 1[/tex]

Now

x-4 will be the age of father 4 years ago

y-4 will be the age of son 4 years ago

The equation will be:

[tex]x-4 = 2(y-4)\\x-4 = 2y-8\\x-2y-4 =-8\\x-2y = -8+4\\x-2y = -4\ \ \ Eqn\ 2[/tex]

From equation 1:

[tex]x = 74-y[/tex]

Putting in equation 2

[tex]74-y-2y = -4\\74-3y = -4\\-3y = -4-74\\-3y = -78\\\frac{-3y}{-3} = \frac{-78}{-3}\\y = 26[/tex]

Put y = 26 in equation 1

[tex]x+26 = 74\\x = 74-26\\x = 48[/tex]

The father is 48 years old now.

Hence,

The correct answer is: Option A: 48

The perimeter of a parallelogram must be no less than 40 feet. The length of the rectangle is 6 feet. What are the possible measurements of the width? Write an inequality to represent this problem. Use w to represent the width of the parallelogram. [Hint: The formula for finding the perimeter of a parallelogram is \(P=2l+2w.\) What is the smallest possible measurement of the width? Justify your answer by showing all your work.

Answers

Answer:

A. 2l + 2w > 40

B. 14 = w

Step-by-step explanation:

B. 40 = ( 2/6) + 2w

40 = 12 +2w

subtracted by

28 = 2w

and that equals

14= w

 

Write a function rule for the area of a rectangle with a length 2 ft less than three times it’s width. What is the area of the rectangle when it’s width is 2 ft?

Answers

9514 1404 393

Answer:

  A(w) = w(3w-2)

  A(2) = 8 . . . . square feet

Step-by-step explanation:

For width w, the length will be 3w-2, two feet less than 3 times the width. The area is the product of length and width, so is ...

  A = WL

  A(w) = w(3w-2)

__

To find the area for a width of 2, we put 2 where w is, then evaluate.

  A(2) = 2(3·2 -2) = 8 . . . . square feet

Which of these investments are intended to collect dividends as income?


bonds

real estate

savings account

stocks

Answers

Answer:

stocks

Step-by-step explanation:

Stocks are the type of investment that are intended to collect dividends as income, mainly referred to as dividend stocks. Companies pay these dividends to investors who hold stocks from their company and these dividends are usually paid out quarterly, meaning four payments per year. The other options provided provide forms of passive income but they are not considered dividend payments.

Randeep purchased sandwiches and a gallon of milk for himself and his friends. Each sandwich cost $8. The gallon of milk cost $4. The total cost of the meal was $44. Which answer choice represents and solves correctly the equation for x, the number of sandwiches that Randeep purchased? DON'T FORGET THE NUMBER OF SANDWICHES RANDEEP MUST BUY TO REACH $44.

Answers

Answer: He bought 5 sandwiches.

Step-by-step explanation:

We know that he purchased sandwiches (let's suppose that he bought X ) and one gallon of milk.

The cost of each sandwich is $8, then the cost of the X sandwiches will be X times $8, or: X*$8.

The cost of the gallon of milk is $4.

The total cost will be:

$4 + X*$8.

And we know that the total cost was $44, then we have the equation:

$4 + X*$8 = $44

We can solve this for X

X*$8 = $44 - $4

X*$8 = $40

X = $40/$8 = 5

This means that he bought 5 sandwiches

Rewrite as a simplified fraction 2.67 repeating

Answers

265/99, is what I think but I’m not sure
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