All categories

1 year ago

Jill charges an hourly rate for babysitting one or two children. Kara charges a lower hourly

Mathematics

1 answer:

rodikova [14]1 year ago

7 0

<u>Options</u>

Which statement is true:

a) Jill will make less money if they each work 4 hours.

b) Jill's hourly rate is $3 more than kara's.

c) Kara charges $14 and hour for babysitting two children.

d) Kara's fee for the second child is $5.

Answer:

(D)Kara's fee for the second child is $5.

Step-by-step explanation:

$\left|\begin{array}{c|c|c}$Time(hr)&$Jill: Cost for Two Children& $Kara: Cost for Two Children\\-----&------&-----\\1&11&14=9+5\\2&22&23=9(2)+5\\3&33&32=9(3)+5\end{array}\right|$

From the table above,

Jill Charges an hourly rate of $11

Kara charges an hourly rate of $9 and an additional $5 charge for more than one child. Therefore, the statement that is true is Option D.

Kara's fee for the second child is $5.

All other options are incorrect.

<u>Check</u>

Option A: In four hours, Jill will make $44 while Kara will make $41

Option B: Jill's hourly rate is $2 more than Kara's, NOT $3.

Option C: Kara charges $9 an hour, NOT $14.

You might be interested in

Vineet solved a system of equations by substitution. In his work, he substituted an expression for one of the variables and solv

mezya [45]

Vineet can conclude that:
B ) the system of equations does not have a solution.

10 0

1 year ago

Read 2 more answers

HELP MEEEEEEEEEE Package A contains 3 birthday cards and 2 thank-you notes and costs $9.60. Package B contains 8 birthday cards

hodyreva [135]

Answer:

Each birthday card costs $2.2 ⇒ answer c

Step-by-step explanation:

* Lets explain how to solve the problem

- Package A contains 3 birthday cards and 2 thank-you notes

- It costs $9.60

- Package B contains 8 birthday cards and 6 thank-you notes

- It costs $26.60

- x represents the cost of birthday card and y represents the cost of

thank-you note

* Lets change these information to two equations

∵ x represents the cost of each birthday cards

∵ y represents the cost of each thank-you notes

∵ Bag A contains 3 birthday cards and 2 thank-you notes

∵ Bag A costs $9.60

∴ 3x + 2y = 9.60 ⇒ (1)

∵ Bag B contains 8 birthday cards and 6 thank-you notes

∵ Bag B costs $26.60

∴ 8x + 6y = 26.60 ⇒ (2)

* Lets solve this system of equations to find x and y

- Multiply equation (1) by -3 to eliminate y

∵ -3(3x) + -3(2y) = -3(9.60)

∴ -9x - 6y = -28.8 ⇒ (3)

- Add equations (2) and (3)

∴ -x = -2.2

- Multiply both sides by -1

∴ x = 2.2

∵ x represents the cost of each birthday cards

∴ The cost of each birthday card is $2.2

* Each birthday card costs $2.2

6 0

2 years ago

Read 2 more answers

Find the interest for each loan. $252 at 8% for 2 years: ________ $400 at 2% for 6 months:________ $5,000 at 3.5% for 1 year:___

prisoha [69]

Hi there! I can help you! Okay. So to find the amount of interest, we have to do the formula prt. That means multiply the principal, which is the initial amount of money, the rate, which is the interest rate, and the amount of time, which is usually in years. With that being said, here is how the answers turn out.

$252, 8% for 2 years: $40.32
$400, 2% for 6 months: $4
$5,000, 3.5% for 1 year: $175
$6,240, 10% for 9 months: $468

For the months, we just convert those numbers into decimal. 6 months is 1/2 a year, so it would be 0.5 and 9 months is 3/4 of a year, so that decimal would be 0.75. All you have to do is multiply the amount of money by percentage (you can do it by decimal form) by amount of time, and you’ll be good.

4 0

1 year ago

Read 2 more answers

Which equation below shows a correct first step for solving 3x = -12

Wewaii [24]

The answer is A. You just solve each one and you would find that it would be the same as 3x=-12.

5 0

1 year ago

The number of acres in a region cleared for farming follows the formula a = f (t) = 2t2 where t is the number of months since th

Anit [1.1K]

we are given

$a=f(t)=2t^2$