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
(Mr. Garduño got the dartboard pictured below for
Mrrafil [7]

Answer:

fart I have a great job and the people whose this movie I don't have to work on that is a great job with your family for a relationship but not in a Philippine language is

4 0
3 years ago
A point lies on AB and is the distance from A to B. Point A is located at (4, 8) and point B is located at (14, 10)
Rzqust [24]

Answer:

(9,9)

Step-by-step explanation:

Assuming the point is exactly halfway between A and B, to find it we just need to find the centre point between (4,8) and (14,10).

To find the midpoint, we just need to find the middle value, by dividing the difference between the x values by 2, and repeating the process with the y values.

This is because the point is in the middle, so it's y value will be in the middle of the given AB y values, and its x value will also be directly in the middle of the AB x values.

The x values are 4 and 14. The midpoint is

14-4=10

10/2=5 (the midpoint is 5 away from each reference point)

4+5=9

The midpoint is 9 for the x values. This means the x-value for the point is 9.

Repeat for y-values:

10-8=2

2/2=1

8+1=9

The midpoint is 9, therefore it has the y coordinate of 9.

Therefore the coordinates for the point are (9,9).

Hope this helped!

6 0
3 years ago
Are the following lines parallel ,perpendicular ,or neither
Iteru [2.4K]

Answer:

The lines are perpendicular.

6 0
3 years ago
2
alexandr1967 [171]

Answer:

Step-by-step explanation:

3

4 0
3 years ago
1/2(6а + в) <br> Please answer
Tom [10]

Answer:

12a + .5B

B= -6a

a=.042B

Step-by-step explanation:

1/2(6a+B)= 12a+.5B

1/2(6a+B)=0

-12a=.5B

-6a=B

12a=-.5B

a=.042B

7 0
3 years ago
Other questions:
  • How to convert decimals into fractions 5.32?
    9·1 answer
  • I need help with these I am in honors math and it is hard so please hrlp
    8·1 answer
  • When a certain number is divided by 12,18,24 the reminder is always 5 find the number
    8·1 answer
  • Matt is standing on top of a cliff 305 feet above a lake the measurement of the angle of depression to a boat on the lake is 42
    13·1 answer
  • Mercury orbits the Sun in 87 24/25 Earth days. Venus orbits the Sun in 224 7/10Earth days, and Mars
    10·1 answer
  • How do I solve (2-3*2-3)-4
    10·2 answers
  • Find the answer to: 2/3 +1/6
    6·1 answer
  • What do these stand for
    10·2 answers
  • Work out the reciprocal of 4
    15·1 answer
  • Steph scores 200 points in 6 games. what is the unit rate.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!