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zavuch27 [327]
3 years ago
5

Zoe's mom is making super hero capes for the guests at her little brother's birthday party. Each cape uses of a yard of fabric.

Her mom bought a total of 10 yards of fabric. Part A: How many complete capes will Zoe's mom be able to make with the amount of fabric she bought? Part B: Making 1 cape takes Zoe's mom 12 minutes. Using the number of capes you found in Part A, how many total minutes will she spend making capes?
Mathematics
1 answer:
kumpel [21]3 years ago
3 0

Answer:

Part A: 10 complete capes.

Part B: 120 minutes.

Step-by-step explanation:

Part A:

Given:

Amount of fabric required for 1 cape is 1 yard.

Total amount of fabric bought by Zoe's mom are 10 yards.

Using unitary method,

∵Number of capes made from 1 yard fabric = 1

∴ Number of capes made from 10 yard fabric = 10\times 1=10

Part B:

Given:

Time taken to make 1 cape is 12 minutes.

Using unitary method,

∵Time taken to make 1 cape = 12 minutes.

∴ Time taken to make 10 capes = 12\times 10=120 minutes.

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An equation parallel and perpendicular to 4x+5y=19
UNO [17]

Answer:

Parallel line:

y=-\frac{4}{5}x+\frac{9}{5}

Perpendicular line:

y=\frac{5}{4}x-\frac{1}{2}

Step-by-step explanation:

we are given equation 4x+5y=19

Firstly, we will solve for y

4x+5y=19

we can change it into y=mx+b form

5y=-4x+19

y=-\frac{4}{5}x+\frac{19}{5}

so,

m=-\frac{4}{5}

Parallel line:

we know that slope of two parallel lines are always same

so,

m'=-\frac{4}{5}

Let's assume parallel line passes through (1,1)

now, we can find equation of line

y-y_1=m'(x-x_1)

we can plug values

y-1=-\frac{4}{5}(x-1)

now, we can solve for y

y=-\frac{4}{5}x+\frac{9}{5}

Perpendicular line:

we know that slope of perpendicular line is -1/m

so, we get slope as

m'=\frac{5}{4}

Let's assume perpendicular line passes through (2,2)

now, we can find equation of line

y-y_1=m'(x-x_1)

we can plug values

y-2=\frac{5}{4}(x-2)

now, we can solve for y

y=\frac{5}{4}x-\frac{1}{2}


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Answer:

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Alenkasestr [34]

Answer:

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Step-by-step explanation:

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9514 1404 393

Answer:

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The side lengths of the triangle are 15 inches, 36 inches, and 39 inches.

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