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siniylev [52]
3 years ago
14

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 $15 per cubic yard, how many cubic yards of topsoil did she purchase? 3 4.5 5.5 7
Mathematics
2 answers:
IgorLugansk [536]3 years ago
6 0
The answer is 7. You can solve it by going through all the answers and testing the math. 7 x 15$ = 105 so add that to 3 x 25 = 75 and it proves it equals 180$.
tia_tia [17]3 years ago
3 0

The Answer Is D. 7 on ed genuity

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Aloiza [94]

Answer: I think b

Step-by-step explanation: I had the same question

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3 years ago
X-y+6; use x=6, and y =1
TEA [102]

Answer:11

Step-by-step explanation:

To evaluate x-y+6 when x=6 y=1

We get

6-1+6

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3 years ago
A car rental agency rents cars for $26.20 per day plus $0.35 per mile driven. Your travel budget is $200. Write an inequality th
laila [671]

For this case we have to:

x: Represents the number of miles that can be traveled in a day

We have that the cost of daily car rental is given by the following expression:

26.20 + 0.35x

If the person has a budget of $200 then we have to:

26.20+0.35x\leq200\\0.35x\leq200-26.20\\0.35x\leq173.8\\x\leq\frac{173.8}{0.35}\\x\leq496.57

Thus, you can travel 496 miles in one day.

Answer:

26.20 + 0.35x \leq200

6 0
3 years ago
Can anyone help with this ??
Lera25 [3.4K]

Answer:

68

Step-by-step explanation:

5 0
2 years ago
The minimum/maximum value of the function y = a(x − 2)(x − 1) occurs at x = d, what is the value of d?
daser333 [38]

Answer:

d=\frac{3}{2}=1.5

Step-by-step explanation:

We have the function:

y=a(x-2)(x-1)

And we want to find x=d for which the minimum/maximum value will occur.

Notice that our function is a quadratic in factored form.

Remember that the minimum/maximum value always occurs at the vertex point.

And remember that the x-coordinate of the vertex is the axis of symmetry.

Since a quadratic is always symmetrical on both sides of its axis of symmetry, a quadratic’s axis of symmetry is the average of the two roots/zeros of the quadratic.

Therefore, the value x=d such that it produces the minimum/maximum value is the average of the two roots.

Our factors are <em>(x-2) </em>and <em>(x-1)</em>.

Therefore, our roots/zeros are <em>x=1, 2</em>.

So, the average of them are:

d=\frac{1+2}{2}=3/2=1.5

Therefore, regardless of the value of <em>a</em>, the minimum/maximum value will occur at <em>x=d=1.5</em>.

Alternative Method:

Of course, we can also expand to confirm our answer. So:

y=a(x^2-2x-x+2)\\y=a(x^2-3x+2)\\y=ax^2-3ax+2a

The x-coordinate of the vertex is still going to be the place where the minimum/maximum is going to occur.

And the formula for the vertex is:

x=-\frac{b}{2a}

So, we will substitute <em>-3a</em> for <em>b</em> and <em>a</em> for <em>a</em>. This yields:

x=-\frac{-3a}{2a}=\frac{3}{2}=1.5

Confirming our answer.

4 0
2 years ago
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