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bogdanovich [222]
2 years ago
15

Marco leaves the bathroom faucet running for 22 minutes while he gets ready in the morning. running the faucet for 5 minutes was

tes the same amount of energy as leaving a 60-watt light bulb on for 14 hours. how much energy did marco waste, in terms of hours which a 60-watt light bulb would remain on? a. 7.9 hours b. 61.6 hours c. 56.0 hours d. 264.0 hours
Mathematics
1 answer:
lord [1]2 years ago
5 0

The amount of energy waste, in terms of hours which a 60-watt light bulb would remain on, is 61.6 hours then the correct option is B.

<h3>What are ratio and proportion?</h3>

A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Marco leaves the bathroom faucet running for 22 minutes while he gets ready in the morning.

Running the faucet for 5 minutes wastes the same amount of energy as leaving a 60-watt light bulb on for 14 hours.

Then we have

\begin{aligned} \dfrac{5\ minutes}{14 \ hours } &=\dfrac{1\ minute }{x \ hours}\\\\x &= 2.8  \ hours \end{aligned}

So, the rate is 2.8 hours per minute.

Since macro leaves the bathroom faucet running for 22 minutes. Then the waste of energy is leaving a 60-watt light bulb will be

→22 minutes × 2.8 hours/minute = 61.6 hours.

More about the ratio and the proportion link is given below.

brainly.com/question/14335762

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Answer:

Step-by-step explanation:

It is mandatory (required) to use " ^ " for exponentiation:

(3x – 5)^2 = 4

Taking the square root of both sides, we get

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3x = 5 ±2, or

(a) 3x = 7 => x = 7/3, and

(b) 3x = 3, or x = 1

7 0
3 years ago
Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream shop for $8 per hour. Le
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Answer:

A C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Leah wants to earn at least 120 dollars a month and she has two job options. This is written as

5x + 8y > 120

She also can't work more than 20 hours, leading us to the second equation

x + y = 20

First we solve for one variable

y = 20 - x

then substitute it into the first equation

5x + 8(20 - x) = 120

Solve for x

5x + 160 - 8x = 120

3x = 40

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Then we solve for y

y = 20 - x

     y = 20/3

x < 40/3

y > 20/3

B and D will not work because their x+y is greater than 20.

E will also not work because the value is less than 120

6 0
3 years ago
Describe the transformations of f(x) = x3 represented by g(x) = (x - 6) - 2.
devlian [24]

Answer:

Step-by-step explanation:

4 0
3 years ago
What is the shape name<br>please do fast.​
vivado [14]

Answer:

\boxed{\sf Parallelogram}

Step-by-step explanation:

A parallelogram has opposite parallel sides and it is a quadrilateral.

7 0
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(Please this is URGENT!) On a computer screen, Jennifer just created a triangular design of a banner with vertices at A(-4,3), B
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Answer:

The correct option is;

d. Reflecting about the line y = -1, followed by translating 8 units to the right

Step-by-step explanation:

The coordinates of the vertices of the banner Jane created = A(-4, 3), B(-1, 5) and C(-1, 2)

By reflecting across the line y = -1, we get

A(-4, 3) by reflection across the line y = -1 gives A(-4, -5)

B(-1, 5) by reflection across the line y = -1 gives B(-1, -7)

C(-1, 2) by reflection across the line y = -1 gives C(-1, -4)

By translating 8 units to the right get

A(-4, 3) by translation 8 units right gives A prime (4, -5)

B(-1, 5) by translation 8 units right gives B prime (7, -7)

C(-1, 2) by translation 8 units right gives C prime (7, -4)

Therefore, the two transformation that she could perform so that the transformed vertices become A prime (4, -5), B prime (7, -7), and C prime (7, -4) are;

1) Reflection across the line y = -1

2) An horizontal translation 8 units to the right get.

7 0
3 years ago
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