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
Cloud [144]
3 years ago
15

sofia recycled 3 pounds less than the amount james recycled. hannah recycled 3 times the amount sofia recycled. if the three rec

ycled a total of 73 pounds, how many pounds did sofia recycle?
Mathematics
2 answers:
jenyasd209 [6]3 years ago
4 0

Answer  

Find out the  how many pounds did sofia recycle .

To prove

Let us assume that the james recycled be = x

As given

sofia recycled 3 pounds less than the amount james recycled.

hannah recycled 3 times the amount sofia recycled.

Sofia recycled be = x - 3

hannah recycled be = 3 × (x - 3)

As given

the three recycled a total of 73 pounds .

Than the equation becomes

x + x - 3 + 3 × (x - 3) = 73

x + x - 3 + 3x - 9 = 73

5x - 12 = 73

5x = 73 + 12

5x = 85

x= \frac{85}{5}

x = 17

Sofia recycled be = x - 3

                            = 17 - 3

                           = 14 pounds

Therefore 14 pounds sofia recycled .



Molodets [167]3 years ago
4 0

Let the amount James recycled be x.

Sofia recycled 3 pounds less than the amount James recycled.

Therefore, the amount Sofia recycled is x - 3.

Hannah recycled 3 times the amount Sofia recycled.

Therefore, the amount Hannah recycled = 3(x - 3).

The three recycled a total of 73 pounds.

Therefore, x + (x - 3) + 3(x - 3) = 73

x + x - 3 + 3x - 9 = 73

5x - 12 = 73

5x = 73 + 12

5x = 85

Divide both sides by 5.

x = 17

Number of pounds that Sofia recycled = x - 3 = 17 - 3 = 14.

Hence, Sofia recycled 14 pounds.

You might be interested in
A rectangle has an area of 45x2 − 42x − 48 and a width of 5x − 8. what is the length of the rectangle? to find the length of the
kondaur [170]

If the area and width of the rectangle are 45x² − 42x − 48 and (5x − 8) then the length of the rectangle will be (3x + 2).

<h3>What is a rectangle?</h3>

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

A rectangle has an area of 45x² − 42x − 48 and a width of 5x − 8.

Then the length of the rectangle will be

area = length × width

Then we have

Area = 45x² − 42x − 48

Then the factor of the polynomial will be

Area = (5x − 8)(3x + 2)

Then the length of the rectangle will be (3x + 2).

More about the rectangle link is given below.

brainly.com/question/10046743

4 0
2 years ago
Read 2 more answers
A hot air balloon travels 18miles in 3 hours. At this rate how many miles will the hot air balloon travel in 3/4hour?
Nikolay [14]

Answer:

4,5 miles

Step-by-step explanation:

In 1 hour:    18/3 = 6 miles

6 . 3/4 = 18/4 = 4,5 miles

3 0
3 years ago
Please help me with this​
Vladimir [108]
I also suggest using an app called photomath. It takes you through the steps of solving the equations and gives you the answer as well.

8 0
3 years ago
Read 2 more answers
The radius is 7. Find the circumference of p. Leave your answer in terms of pi.
just olya [345]

Answer:

Step-by-step explanation:

Hi there!

According to the question;

radius (r) = 7

We know,

Circumference (c) = 2πr

                              = 2π * 7

                              = 14π

Therefore the circumference of p is 14π.

Hope it helps!

5 0
3 years ago
2
GaryK [48]

Answer:

B_2=4\pi r^2

see the explanation

Step-by-step explanation:

we know that

The area of the base of a cylinder is given by the formula

B=\pi r^{2}

where

r is the radius of the circular base

If the radius is doubled

then

r=2r

The new base area is

B_2=\pi (2r)^{2}

B_2=4\pi r^2

so

B_2=4B

therefore

The new area of the base is 4 times the area of the original base

7 0
3 years ago
Other questions:
  • Add 80 percent of 300 plus 3/4 of 28 plus .9 of 180 <br><br><br> help .
    8·2 answers
  • A baker brought some butter. He used 360 grams to make some pastry. This was 5/6 of the butter he had. How much butter did he bu
    14·2 answers
  • Dan bought a new house with a backyard whose dimensions are 21.8 by 12 feet. The backyard has a triangular garden with an area o
    10·1 answer
  • Alex bought 2 1/4 pounds of M&amp;Ms and 1.6 pounds of gummy worms. If the M&amp;Ms cost $2 per pound, and the gummy worms cost
    9·1 answer
  • Bill has 2/3 of his pizza left from lunch. If he eats 3/7 more of the pizza, how much pizza is left?
    11·2 answers
  • A new law requires that 15% of an individuals income be invested in the stock market. Your accounts show that you need to put $4
    15·1 answer
  • Which statement describes the function shown on the graph? A) The company charges a $150 rental fee and a charge of $0.50 per mi
    11·1 answer
  • Answer if you know asap!
    5·2 answers
  • If
    13·1 answer
  • What is the radius of a circle that has a circumference of 1
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!