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miskamm [114]
3 years ago
12

A restaurant offered cooking classes on 24 of the 30 days in November. What decimal is equivalent to the fraction of days in Nov

ember that classes were offered at the restaurant? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.​
Mathematics
1 answer:
irakobra [83]3 years ago
3 0

Answer:

80%

Step-by-step explanation:

Divide 24÷30 to obtain a decimal value. Then multiply the result by 100. This will move the decimal 2 places to the right. 0.8×100= 80%

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Alex777 [14]

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3 years ago
A container in the shape of a square-based prism has a volume of 2744 cm'. What dimensions give the
Vinvika [58]

Answer:

The dimensions that give the minimum surface area are:

Length = 14cm

width = 14cm

height = 14cm

And the minimum surface is:

S = 1,176 cm^2

Step-by-step explanation:

A regular rectangular prism has the measures: length L, width W and height H.

The volume of this prism is:

V = L*W*H

The surface of this prism is:

S = 2*(L*W + H*L + H*W)

If the base of the prism is a square, then we have L = W

Then the equations become:

V = L*L*H = L^2*H

S = 2*(L^2 + 2*H*L)

We know that the volume of the figure is 2744 cm^3

Then:

V = 2744 cm^3 = H*(L^2)

In this equation, we can isolate H.

H = (2744 cm^3)/(L^2)

Now we can replace this on the surface equation:

S = 2*(L^2 + 2*L* (2744 cm^3)/(L^2))

S = 2*L^2 + 4(2744 cm^3)/L

Now we want to minimize the surface area, then we need to find the zeros of the first derivative of S.

S' = 2*(2*L) - 4*(2744 cm^3)/L^2

This is equal to zero when:

0 = 2*(2*L) - 4*(2744 cm^3)/L^2

0 = 4*L*L^2 - 4*(2744 cm^3)

4*(2744 cm^3) = 4*L^3

2744 cm^3 = L^3

∛(2744 cm^3) = L = 14cm

Then the length of the base that minimizes the surface is L = 14.

Then we have:

H = (2744 cm^3)/(L^2) = (2744 cm^3)/(14cm)^2 = 14cm

Then the surface is:

S = 2*(L^2 + 2*L*H) = 2*( (14cm)^2 + 2*(14cm)*(14cm)) = 1,176 cm^2

8 0
2 years ago
Which one of the following statements is true?
Katarina [22]

Answer:

A

Step-by-step explanation:

Because the gravity of the earth

3 0
3 years ago
Read 2 more answers
If ABCDE is reflected over the x-axis and then translated 3 units left, what are the
Aloiza [94]

Answer:

(-6,1)

Step-by-step explanation:

A. Reflection

When you reflect a point (x, y) across the x-axis, the x-coordinate remains the same, but the y-coordinate gets the opposite sign.

Thus, D (-3,-1) ⟶ D' (-3, 1)

B. Translation

When you translate a point horizontally, its x-coordinate changes, but the y-coordinate. remains unchanged.

You translated the point 3 units to the left.

D'(-3, 1) ⟶ D"(-6,1)

7 0
3 years ago
I dont understand the problem
Roman55 [17]

Answer:

equation of a line:

y = mx+c

1) find the gradient, m

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m =  \frac{ - 4 - ( - 4)}{ - 10 - 1}

m = 0

2) find y-intercept, c using coordinate (1,-4)

y = mx + c

-4 = 0(1) + c

c = -4

the equation of line:

y = mx+c

y = 0(x) + c

y = c

y = -4

6 0
3 years ago
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