MATHEMATICS MIDDLE SCHOOL

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?A.)3
B.)4.5
C.)5.5
D.)7

Answers

Answer 1
Answer:

Answer:

7 cubic yard

Step-by-step explanation:

Let the compost purchased be x cubic yard

And the topsoil purchased be y cubic yard

Hence

x+y=10 ----(A)

Also

Cost incurred in buying compost at a rate of $25 per cubic yards = 25x

Cost incurred in buying topsoil at a rate of $15 per cubic yards = 15y

Total cost incurred = 25x+15y=180

Diving whole equation by 5 we get

5x+3y=36 ----(B)

Multiply A by 3 and subtract it from B

5x+3y=36

- - -

3x+3y=30

_______

2x=6

x=3

Putting this value in A

x+y=10

3+y=10

y=10-3=7

Hence she purchased 7 cubic yards of topsoil.
Answer 2
Answer:

Answer:

to make it short, its D

Step-by-step explanation:

got it right on Edge

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Marco model bridge is 9 centimetres taller than joes model bridge. if Joe's bridge is 31 centimetres tall. write an Equation that could be used to find the height

Answers

9 + 31 = x. If Macros bridge is 9 centimeters taller than 31, you just have to do 9 + 31.
All you need to do is use the formula which is A = b x h. So, to solve, you just need to multiply 9 by 31 and I think that equals x. I'm not going to give you the answer because I want to see if you can solve it out yourself.

Update: I think I did the formula wrong. I think it's the user above who put the correct formula. Yeah, so I think you just add 9 and 31.


Anyways, just add 9 and 31 to get your answer.

Tonya had her birthday party at the movies.It cost $27 for pizza and $8.50 per friend for the movie tickets. How many friends did tonya have at her party if she spent $78

Answers

she can bring 6 friends to the movies.
Tonya had 6 friends, 27$ + 8.50$ x 6 = $78

Which mixed number is equal to 6.75? A. 6 75 / 1000


B. 6 5 / 7


C. 6 3 / 4


D. 67 / 5

Help Please!!!!

Answers

C. 6   3/4

Because: 6 is our whole number inside 6.75, now, we know the whole number in the fraction. Also, it must be a mixed number, that means it must contain a whole number and a fraction.

3/4 = .75
6 = 6

6.75 = 6   3/4
6.75
= 6+ 0.75
= 6+ 75/100
= 6+ 3/4
= 6 3/4

The correct answer is C. 6 3/4~

Is the function linear or nonlinear y=2x^2-4

Answers

ANSWER


The function is non linear.

EXPLANATION

A linear function is of the form

y = mx + c


or

ax + by + c = 0


The highest degree of the variables in each term in the simplest form is 1.


Any degree higher or less than 1 will make the function nonlinear.


The function given to us is,

y = 2{x}^(2) - 4

The highest degree is 2. This is a quadratic curve.


The graph of all linear functions are straight lines.
The function is nonlinear.

Combine the like terms to create an equivalent expression.
7n+4n

Answers

Answer:

11n

Step-by-step explanation:

(7+4) = 11

Answer:

11n

Step-by-step explanation:

Combine Like Terms

(7n) + (4n) are like terms

Add Them together

7+4=11

Therefore

when like terms are combined, the expression can be solved to 11n.

a farm raises cows and chickens. the farmer has a total of 42 animals. one day he counts the legs of all animals of his animals and realizes he has a total of 114. how many cows does the farmer have? how many chickens?

Answers

Let's call cows x, and chickens as y.

Cows have 4 legs
Chickens have 2 legs.

Let's make two equations from the information they gave us!

x + y = 42
4x + 2y = 114

Now, let's multiply the first equation by 4.

4x + 4y = 168
4x + 2y = 114

Now, subtract the second equation from the first one.

4x - 4x + 4y - 2y = 168 - 114

4y - 2y = 168 - 114

2y = 54

y = 27

Now, plug y = 27 into either equation and solve for x.

x + y = 42

x + 27 = 42

x = 42 - 27

x = 15



There are 15 cows and 27 chickens.
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