Tom is twice as old as Mary, but he is 2 years younger than Jim. What is Mary's age if Jim will be twenty years old in 2 years time?

Answers

Answer 1
Answer: ok if JIM will be 20 in 2 years right now he is 18,and if TOM is twice as old as MARY but TOM is 2 years younger then JIM,JIM is 16,and so if TOM is 16  MARY is 8 years old

              THE ANSWER IS 8 YEARS OLD-MARY IS 8

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Which size ice cream dessert gives you the best price per ounce? Small 6-oz for $2.49. Medium 10-oz cup for $3.49. Large 16-oz cup for $4.99. Or Super size 24-oz cup for $7.69.

Answers

Answer:

The large size gives the lowest price per ounce of 3.11875, therefor the best in terms of price

Step-by-step explanation:

Step 1: Determine expression for price per ounce

The expression for the total price of an ice cream dessert is as follows;

T=p×n

where;

T=total price of ice cream

p=price per ounce of ice cream

n=number of ounces of ice cream

Step 2: Convert total price to price per ounce

The expression can be rewritten as;

p=T/n

1. For small 6 ounce at $2.49, T=2.49, n=6-oz

p=2.49/6=0.415

The price per ounce of the small ice cream dessert=$0.415 per ounce

2. For the Medium 10-oz for $3.49, T=$3.49, n=10-oz

p=3.49/10=0.349

The price per ounce of the medium ice cream dessert=$0.349 per ounce

3. For the Large 16-oz for $4.99, T= $4.99, n=16

p=4.99/16=$0.311875

The price per ounce of the medium ice cream dessert=$0.311875 per ounce

4. For the super size 24-oz for $7.69, T=$7.69, n=24

p=7.69/24=0.32

The price per ounce of the super size cup is 0.32 per ounce

The large size gives the lowest price per ounce of 3.11875, therefor the best in terms of price

18 to 24 as a fraction in lowest terms

Answers

(18)/(24) =  (18/6)/(24/6) = \boxed {(3)/(4)} ⇔\hbox the answer
3/4
because when you divide 18 and 24 by 6 you get 3/4.

Use the function to answer the question.f (x) = x2 +4
What is the value of x when f (x) = 4?

Answers

Answer:f(4)= 12

Step-by-step explanation:

Treat f(x) as y, y=2x + 4, y=12

Answer:

x = 0

Step-by-step explanation:

Given f(x) = x² + 4 and f(x) = 4, then equating

x² + 4 = 4 ( subtract 4 from both sides )

x² = 0 , thus

x = 0

The following data are arranged in ascending order and the median of the data is 60.Find the value of x.
26, 29, 42, 53, x, x + 2, 70, 75, 82, 93

Answers

The median of the data is 60. That means the two middle numbers divided by 2 = 60.

(x + x + 2) / 2 = 60...multiply by 2
2x + 2 = 120
2x = 120 - 2
2x = 118
x = 118/2
x = 59

x + 2 = 59 + 2 = 61

so ur numbers go : 26,29,42,53,59,61. 70, 75, 82, 93

Justin has a credit card with a limit of $1,000 and an introductory APR of 0% for six months. After that the, APR for purchases is 22.9%. The APR for cash advances is 24.9%. The penalty APR is 29.4%. The annual fee is $39, the late payment fee is $35, and the over limit fee is $29. Justin obtains $350 from an ATM using his credit card. Which of the following APRs apply to his account?Select the best answer from the choices provided.
A. 24.9%
B. 22.9%
C. 29.4%
D. 0%

Answers

Given:
APR for first six months = 0%
APR for purchases after the 1st six months = 22.9%
APR for cash advances = 24.9%
APR for penalties = 29.4%

Obtaining $350 from an ATM using his credit card is a form of Cash Advances. So, the APR for this transaction is 24.9% Choice A.

Write an equation in slope intercept form of a line that passes through the point (2,4) and is perpendicular to the graph of x-6y=2

Answers

-6y=2-x
y=x/6-1/3
so the slope for this line is 1/6,
therefore the slope for line perpendicular to this  line is -6
y=mx+b
subsitute (2,4)in
4=-6*2+b
you get b=16
so the equation  is y=-6x+16