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
vagabundo [1.1K]
3 years ago
10

Helena uses a mixture of compost and topsoil in her garden. She purchased a total of 10 cubic yards of compost and topsoil for $

180. If compost costs $25 per cubic yard and topsoil costs $15 per cubic yard, how many cubic yards of topsoil did she purchase?
Mathematics
2 answers:
Soloha48 [4]3 years ago
8 0

Amount of compost she bought = ' C ' cubic yards.
Each cubic yard of compost costs $25.
Amount she spent on compost  =  25C .

Amount of topsoil she bought = ' T ' cubic yards.
Each cubic yard of topsoil costs $15.
Amount she spent on topsoil =  15T .

Total volume she bought  =                 C + T       = 10 cubic yards
Total price for the whole truckload =  25C + 15T  =  $180

There's the system of equations you have to solve:

                                                    C +    T  =    10
                                                25C + 15T  =  180 .
Can you do that ?
Here.  Let me help.

Multiply the first equation
by 25, then write the second
one under it again:                  25C + 25T  =  250
                                                     25C + 15T  =  180 .

Subtractum:                                      10T  =  70

Divide each side by  10:                       T  =  7  cubic yards.


Do you give Gary a commission ? 
Finder's fee ? 
Kickback ?
Annette [7]3 years ago
4 0

Let C be the amount of compost

T be the amount of  topsoil

Each compost cost = $25

Cost of C compost = 25C

Each topsoil cost = $15

Cost of T topsoil = 15T

Amount of compost + amount of topsoil = 10

C + T = 10 -------> Equation 1

cost of C compost + cost of T topsoil = 180

25C + 15T = 180 --------> equation 2

Solve  the first equation for C

C + T = 10

C = 10 - T

Now plug it in second equation

25C + 15T = 180

25 ( 10 - T) +15T = 180

250 - 25T + 15T = 180 (combine like terms)

250 - 10 T = 180 (Subtract 250 on both sides)

-10T = 180 - 250

-10T = -70 ( divide by -10 on both sides)

T = 7

She purchased  7 cubic yards of topsoil .


You might be interested in
Order of fractions from least to greatest 5/8,3/4,1/2,9/16
rusak2 [61]

Answer:

1/2, 9/16, 5/8, 3/4

Step-by-step explanation:


3 0
3 years ago
5-7:
garri49 [273]
The 3 panes would cost $7.65.
6 0
3 years ago
Read 2 more answers
Mo buys a house for £120 000
Vaselesa [24]

Answer:

<h2>25%</h2>

Step-by-step explanation:

The profit = 150 000 - 120 000 = 30 000

………………………………………………………

The profit percentage is :

=\frac{30000}{120000} \times 100=0.25 \times 100 = 25 \%

3 0
2 years ago
2,500 principal earning 4% compounded quarterly after 4 years
Kay [80]
A=p(1+r/100)^n
A=2500(1+4/400)^16
A=2931.45
5 0
3 years ago
Can someone help please??
Nady [450]

Answer:

The scores in order from least likely to most likely is 8, 3, 4, and 5.

Step-by-step explanation:

1. Calculate the probability of the spinner adding up to 1, 2, 3, 4, .... 8

You will get:

2 (1/16)

3 (2/16)

4 (3/16)

5 (4/16)

6 (3/16)

7 (2/16)

8 (1/16)

2. Given the scores from the problem, the probability of each number is 3 (2/16), 4 (3/16), 5 (4/16), and 8 (1/16).

3. With this, we can determine the scores in order from least likely to most likely is 8, 3, 4, and 5.

8 0
3 years ago
Other questions:
  • Which of the following describes point C? <br> (-2, 1)<br> (-2, -1)<br> (1, -2) <br> (-1, -2)
    11·2 answers
  • Please help with geometry! Will give thanks and brainliest answer.
    14·1 answer
  • The graph shows how the distance an object traveled changed over time.
    13·1 answer
  • What is the product?
    7·1 answer
  • An artist uses four distinct colors in his latest painting–red, blue, green, and yellow–
    11·2 answers
  • Simplify 4(7-10)^/(-6)-5*(-2)
    5·1 answer
  • Nicole made $187 for 11 hours of work.
    11·2 answers
  • If the United States is approximately 3.8 x 10 square miles and France is approximately 2.1x10' square
    12·1 answer
  • #11 Factor the expression<br> Using the Distributive Property.<br> 10x + 45y
    11·1 answer
  • The area of a rectangular patio is 24 3/8
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!