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pav-90 [236]
4 years ago
7

a contruction company can remove 1/4 metric tons of dirt from a construction site in 1/8 hours what is the unit rate in metric t

ons per hour
Mathematics
1 answer:
shtirl [24]4 years ago
4 0

Answer:

2 metric tons in an hour.

Step-by-step explanation:

The best way to do this is to convert all the fractions to decimals. The problem starts out looking like this.

Formula

Rate = Tons removed / hours

Tons Removed = 1/4 metric ton

Time taken = 1/8 hour

\text{rate = }\frac{\frac{1}{4}} {\frac{1}{8}}

Rather than doing it with fractions, it is much easier to do it with decimals

1/4 = 0.25

1/8 = 0.125

Now what you get is rate = 0.25 / 0.125 = 2

So 2 metric tons can be removed in an hour

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Axis of symmetry: x=4; points: (3,-2), (6,-26); opening downward
Andru [333]
Vertex form is
y=a(x-h)^2+k
vertex is (h,k)
axis of symmetry is x=4, therfor h=4
y=a(x-4)^2+k

we have some points
(3,-2) and (6,-26)
input and solve for a and k

(3,-2)
-2=a(3-4)^2+k
-2=a(-1)^2+k
-2=a(1)+k
-2=a+k

(6,-26)
-26=a(6-4)^2+k
-26=a(2)^2+k
-26=a(4)+k
-26=4a+k

we have

-2=a+k
-26=4a+k
multiply first equation by -1 and add to second

2=-a-k
<u>-26=4a+k +</u>
-24=3a+0k

-24=3a
divide both sides by 3
-8=a

-2=a+k
-2=-8+k
add 8 to both sides
6=k

the equation is
y=-8(x-4)^2+6
3 0
3 years ago
There’s also D <br><br> D: 4m on top and 4m on the side
Wewaii [24]

B hope this helped have a nice day! =D

Oh yes 4x5 is another answer so yep god I forgot that sorry!

4 0
3 years ago
Read 2 more answers
Enter a positive common factor (other than 1) of the fractions numerator and denominator 15/25
Natalija [7]
5 is a common factor on both of them
5 0
3 years ago
-1 is it a rational
Yuki888 [10]

Yes -1 is a rational number. We can express it as a fraction of two whole numbers

One way is -1 = -1/1

8 0
3 years ago
Read 2 more answers
Please help me with this
kondor19780726 [428]

9514 1404 393

Answer:

  Vertex: (-1, 4)

  Maximum: f(-1) = 4

  Increasing: (-∞, -1)

  Decreasing: (-1, ∞)

Step-by-step explanation:

The equation can be written in vertex form by "completing the square."

First factor out the leading coefficient from the x-terms.

  f(x) = -(x² +2x) +3

Then add the square of half the x-coefficient inside parentheses. Add the opposite of that amount outside parentheses.

  f(x) = -(x² +2x +1) +3 +1

Write in vertex form.

  f(x) = -(x +1)² +4 . . . . . . . compare to a(x -h)² +k

You can see that the vertex is (h, k) = (-1, 4), and that the vertical scale factor 'a' is negative. This means the vertex is the maximum and the parabola opens downward.

The function will be increasing to the left of the maximum, decreasing to its right.

__

Vertex: (-1, 4)

Maximum: f(-1) = 4

Increasing: (-∞, -1)

Decreasing: (-1, ∞)

Graph: see attached

4 0
3 years ago
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