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mariarad [96]
3 years ago
7

If one bag of topsoil covers 10 square feet, how many bags are needed to cover this flowr bed?

Mathematics
2 answers:
Nataly [62]3 years ago
8 0
3 bags are needed to cover the flower bed.
Katyanochek1 [597]3 years ago
3 0

Answer:

3 bags are needed to cover this flower bed

Step-by-step explanation:

Use conversion:

1 yard = 3 feet

Area of a triangle(A) is given by:

A = \frac{1}{2}bh

where,

b is the base and h is the height of the triangle.

As per the statement:

From the given diagram:

Base(b) = 3 yards = 9 feet

Height(h) = 2 yard = 6 feet

then;

A = \frac{1}{2} \cdot 6 \cdot 9 = 3 \cdot 9 = 27 square feet.

Since, it is given that if one bag of topsoil covers 10 square feet

⇒10 square feet =  1 bag

then\;

in 27 square feet = \frac{27}{10} = 2.7 \approx 3 bag

Therefore, 3 bags are needed to cover this flower bed

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∠a and ∠b are complementary angles. ∠a measures 32੦. What is the measure of ∠b?
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You have 6 pints of glaze. It takes 7/8 of a pint to glaze a bowl and 9/16 of a pint to glaze a plate.
son4ous [18]

Answer:

a. How many bowls could you glaze?

6 bowls

How many plates could you glaze?

10 plates

b. You want to glaze 5 bowls, and then use the rest for plates.

How many plates can you glaze?

2 plates

How much glaze will be left over?

8/9 of glaze would be left

c. How many of each object could you glaze so that there is no glaze left over? Explain how you found your answer.

4 4/23 bowls and 4 4/23 plates

Step-by-step explanation:

We are told in the question

Number of pints of glaze = 6 pints

Number of pints to glaze a bowl= 7/8 of pint

Number of pints to glaze a plate = 9/16 of a pint

a.

How many bowls could you glaze?

7/8 pint = 1 bowl

6 pints = x

Cross Multiply

x = 6 pints/ 7/8

= 6 × 8/7

= 48/7

= 6.8571428571 bowls

We can only glaze whole numbers of a bowl, hence, we can only glaze 6 bowls

How many plates could you glaze?

9/16 pint = 1 bowl

6 pints = y

y = 6 pints/ 9/16

= 6 × 16/9

= 10.666666667 plates

We can only glaze whole number of a plate, hence, we can only glaze 10 plates

b. You want to glaze 5 bowls, and then use the rest for plates.

1 bowl = 7/8 pints

5 bowls = z

Cross Multiply

z = 5 × 7/8pints

= 4 3/8 pints of glaze would be used for bowls

How many plates can you glaze?

The rest is for plates, hence:

The amount of glaze left for plates is calculated as:

6 pints - 4 3/8

1 5/8 pints of glaze would be left over to glaze plates.

So therefore,

9/16 pints = 1 plate

1 5/8 pints =

= 2 8/9

Hence we can only glaze 2 plates

How much glaze will be left over?

2 8/9 pints - 2 pints

= 8/9 pints of glaze.

c. How many of each object could you glaze so that there is no glaze left over?

We have 6 pints of glaze

Number of pints to glaze a bowl= 7/8 of pint

Number of pints to glaze a plate = 9/16 of a pint

Let the number of each objects be represented by x

7/8 × x + 9/16 × x = 6 pints

= 4 4/23 bowls and 4 4/23 plates

3 0
2 years ago
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