1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ololo11 [35]
3 years ago
7

The sum of Sally and Beth's age is 60. Six years ago, Sally was 3 times as old as Beth. What are their present ages?

Mathematics
2 answers:
Thepotemich [5.8K]3 years ago
4 0
Sally is 45 and Beth is 15.

45 + 15 = 60

15*3 = 45
pav-90 [236]3 years ago
3 0

Answer: Present age of Beth is 24 years.

And Present age of Sally becomes 36 years.

Step-by-step explanation:

Let the present age of Beth be 'x'.

Six years ago,

Age of Beth becomes (x-6) years

Age of Sally becomes

3(x-6)\ yrs

Sum of Sally and Beth's age = 60

According to question, it becomes

x-6+3(x-6)=60+6+6\\\\x-6+3x-18=72\\\\4x-24=72\\\\4x=72+24\\\\4x=96\\\\x=\frac{96}{4}=24\ yrs

So, Present age of Beth is 24 years.

And Present age of Sally becomes 60-24=36 years.

You might be interested in
From 1980 to 2000 the consumer price index increased from 82.4 to 172.2. If a jar of peanut butter cost $1.49 in 1980 and the pr
Ivanshal [37]

Answer:

<u>The price of the peanut butter jar in 2000 is US$ 3.11 and it increased US$ 1.62 from 1980 to 2000. The correct answer is C. 1.62.</u>

Step-by-step explanation:

1. Let's review all the information provided for solving this question:

Customer Price Index 1980 = 82.4

Customer Price Index 2000 = 172.2

Price of a peanut butter jar 1980 = US$ 1.49

Price of a peanut butter jar 2000 = x

Price increased at the same rate as the CPI

2. Using Rule of Three we will find the  price of the peanut butter jar in 2000:

x * CPI 1980 = Price of the peanut butter jar in 1980 * CPI 2000

and now let's replace with the real values:

x * 82.4 = 1.49 * 172.2

x = (1.49 * 172.2)/82.4

x = 256.578/82.4

x = 3.1138

x = 3.11 Rounding to two decimal places

The price of the peanut butter jar in 2000 is US$ 3.11.

Now let's find how much it increased from 1980 to 2000:

Price in 2000 - Price in 1980

3.11 - 1.49 = 1.62

<u>The price of the peanut butter jar in 2000 is US$ 3.11 and it increased US$ 1.62 from 1980 to 2000. The correct answer is C. 1.62.</u>

7 0
3 years ago
A cone shaped vase has a radius of 12 cm and a height of 45 cm. What is the exact value of the volume of the vase?
sesenic [268]
We know that
the Volume of the cone=(1/3)*B*h
B= area of the base
h= height of the pyramid------> 45 cm

then
B=pi*r²=pi*12²=452.16 cm²
V=(1/3)*[452.16*45]=6782.4 cm³

the answer is 6782.4 cm³
3 0
3 years ago
Read 2 more answers
he new Coat and Jacket Store was ready to open. The workers put out 42 racks of men’s and boy’s coats and jackets with 16 items
Pavlova-9 [17]
42 x 16=672
35 x 24=840

<span>672+840=1512</span>
3 0
3 years ago
Read 2 more answers
30 PTS!!!!! Cole needs to include at least 11​ mg and at most 22​ mg of iron in his diet each day. Cole plans to eat multiple ba
ser-zykov [4K]

Answer:

See explanation

Step-by-step explanation:

<u>Part A:</u> If Cole eats 3​ bananas each day. These 3 bananas contain 3\cdot 0.3=0.9 mg of iron.

Let x be the number of vitamins Cole takes. Each whole vitamin contains 4​ mg of iron, then x vitamins contain 4x mg of iron.

The total amount of iron Cole takes is

0.9+4x\ mg

Cole needs to include at least 11​ mg and at most 22​ mg of iron in his diet each day, so

11\le 0.9+4x\le 22

Solve it:

11-0.9\le 4x\le 22-0.9\\ \\10.1\le 4x\le 21.1\\ \\2.525\le x\le 5.275

The smallest number of vitamins - 3, the greatest number of vitamins - 5.

<u>Part B: </u>Cole continues to eat 3​ bananas each day. He pays \$2\cdot 7=\$14 for bananas per week.

If Cole spends a total of $20​ on bananas and vitamins this week, then he spent $20 - $14 = $6 on vitamins.

Let x be the number of vitamins Cole takes this week.

First 10​ vitamins are free, then x - 10 vitamins each cost $0.50 (he pays an additional dollar for every 2​ additional vitamins he purchases) and they cost

\$0.50(x-10)

This amount of money is exactly $6, so

0.50(x-10)=6\\ \\5(x-10)=60\\ \\x-10=12\\ \\x=22

This means Cole takes 3 vitamins per day (the whole number) and he is able to meet his iron requirement every day this week, based on  answer in Part A.

5 0
3 years ago
Read 2 more answers
Lauren Rob need to find a decimal equivalent to 39/50 Laura said she could write an equivalent fraction with 100 as the denomina
Lina20 [59]

Answer:

Laura and Rob are correct

Step-by-step explanation:

we have

39/50

1) Rob said he could divide the numerator by the denominator

so

using a calculator

39/50=0.78

Rob is correct

2) Laura said she could write an equivalent fraction with 100 as the denominator to converted into a decimal

so

Multiply by 2/2

(39/50)*(2/2)=78/100=0.78

Laura is correct

therefore

Laura and Rob are correct

5 0
3 years ago
Other questions:
  • Find the area and perimeter of the figure below, explain and show work pls
    5·2 answers
  • PLEASE CHECK AND SEE IF I'M CORRECT!!! <br> CORRECT ANSWERS ONLY PLEASE!!!
    6·1 answer
  • Use substitution to solve: -3x-3y=3. And y=-5x-17
    10·1 answer
  • Can someone help answering these questions..
    11·1 answer
  • Write a formula for f(t) as a sum of Heaviside functions. Type uc for the Heaviside function that jumps at c (don't type uc(t) )
    10·1 answer
  • How many different 3 digit numbers are there if. I digit can be repeated? The digits 0 through 9 can be used, but 0 cannot be in
    5·1 answer
  • How many terms does the polynomial a3 - 4ab2 + ab + 1 have?
    10·1 answer
  • Solve for x. Type a numerical answer in the space provided. Do not use spaces in your answer. For example, if the answer is x =
    5·1 answer
  • Use the distributive property to find the product 12 x 2 1/2
    8·1 answer
  • X_X?<br> or<br> -{0-0}-<br> calalallalalalalalaa
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!