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lina2011 [118]
3 years ago
10

Amanda is going to make up some concrete by

Mathematics
1 answer:
lianna [129]3 years ago
4 0

Answer:

Yes, Amanda has enough materials to make the concrete mix.

Step-by-step explanation:

Total units = 1+3+5

                 = 9

9 units = 630kg

1 unit = 630kg ÷ 9

        = 70kg (Less than 80kg of cement, more than enough)

3 units = 3 × 70kg

           = 210kg (Less than 215kg of sand, more than enough sand)

5 units = 5 × 70kg

           = 350kg (Less than 370kg of gravel, more than enough gravel)

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Expand the following expression: 4 (2k + j)
Nadya [2.5K]

Answer:

4(2k + j) = 8k + 4j

Step-by-step explanation:

4(2k + j)

Distribute in the 4.

4 * 2k + 4 * j

Multiply 4 and 2k.

8k + 4 * j

Multiply 4 and j.

8k + 4j

3 0
2 years ago
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If J/24 = K, then J/6 =
tensa zangetsu [6.8K]

Answer:

4K

Step-by-step explanation:

\frac{J}{24} = K ( multiply both sides by 24 to clear the fraction )

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3 years ago
A square pyramid is shown sitting on its base.
allochka39001 [22]

Answer:

Area of Pyramid = 384 cm²

Step-by-step explanation:

Given

Shape: Square Pyramid

Base: 12 cm

Height: 10 cm

Required

The Surface area.

The surface area of the pyramid is calculated by

1. Calculating the area of the base square

2. Calculating the area of the triangles

3. Adding (1) and (2) above

Having highlighted these points,

Step 1: First we calculate the area of the base square

The dimension of the square is 12cm x 12cm

Let L represent the length of the square (L = 12 cm)

So, Area = L * L

Area = 12 cm * 12 cm

Area = 144 cm²

Step 2: There are four triangles in the above pyramid (because the base is a square; and a square has four sides)

The dimension of each triangle is

Base: 12 cm

Height: 10 cm

First, we calculate the area of one triangle

Area = 0.5 * base * height

Area = 0.5 * 12 cm * 10 cm

Area = 60 cm²

If the area of 1 triangle is 60 cm², the area of 4 triangles would be

Area = 4 * 60 cm²

Area = 240 cm²

Step 3: Adding (1) and (2) above

Area of Pyramid = Area of base square + Area of triangles

Area of Pyramid = 144 cm² + 240 cm²

Area of Pyramid = 384 cm²

Hence, the surface area of the pyramid is 384 cm²

5 0
3 years ago
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Answer:

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Step-by-step explanation:

3 • (5x - 7) -  (15x - 21)  = 0

Step  2  :

Equation at the end of step  2  :

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Step  3  :

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10 times the square root of 96
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The answer is 40 square root of 6.

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