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3 years ago

Describe the relationship between the two quantaties. Amount of money earned; number of hours worked

Mathematics

1 answer:

jenyasd209 [6]3 years ago

3 0

Answer:

Amount of money earned; ... The higher the number of hours worked, the larger amount of money is earned. So, both the events goes in the same direction. So, there is direct relationship between two events

Step-by-step explanation:

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PLEASEEE HELP !! What is the value of x ?

Shtirlitz [24]

Answer:

x = 20 cm

Step-by-step explanation:

The triangles given are similar triangles because they share the same angles. Because they are similar, their side lengths are in the same ratio, or proportion to one another. The left side of the larger triangle has a length of 121cm + 11cm = 132cm where the smaller triangle only has a length of 11 cm. We can put these lengths into a ratio:

$\frac{larger}{smaller}=\frac{132}{11}=\frac{12}{1}$

Since the other side of the triangle would have to be in the same proportion, or ratio, we can set up the following proportion:

$\frac{12}{1}=\frac{(5x+10)+10}{10}=\frac{5x+20}{10}$

Use cross-multiplication: 5x + 20 = (10)(12) or 5x + 20 = 120

Subtract 20 from each side: 5x + 20 - 20 = 120 - 20 or 5x = 100

Divide and solve for 'x': 5x/5 = 100/5 or x = 20 cm

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3 years ago

30u^2v^3 8u^5v What is the GCF

Dmitry_Shevchenko [17]

30u^2v^3 and 8u^5v is : 2u^2v

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3 years ago

Martha bought a shirt for $12.64. The shirt was discounted $8.75. write a subtraction equation to find the original price of the

cestrela7 [59]

$12.64n-$8.75 that's really it

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3 years ago

A large container holds 8 gallons of water. It begins leaking at a constant rate. After 48 minutes, the container has 5 gallons

Mashutka [201]

One gallon per every 16 minute. 8g - 5g = 3g
48 minutes ÷ 3gallons = 16 minute per reduced gallon.

7 0

4 years ago

you are asked to size the diameter of a bolt loaded in shear to the nearest 1/8 inch with a factor of safety of 1.5. you find th

kupik [55]

Answer:

2.375 inches

Step-by-step explanation:

Main Steps

1. Identifying important parts of the question

2. Solving the problem

Step 1. - Identifying important parts of the question

In the question, there is some extraneous information. For instance, the question introduces the terms "diameter" and "loaded in shear" and "with a safety factor of 1.5". However, given the information in the problem, and the question asked, it isn't necessary to know that it is "loaded in shear" means, or to know what a diameter is (since everything stays with diameters, and doesn't involve another dimension), and the problem gives the result that will satisfy "a safety factor of 1.5".

Sifting through the problem/question, these are the important parts:

- "to the nearest 1/8 inch" (meaning round to the nearest 1/8th of a unit)

- with "units of inches to 3 decimal places"

- The number to round is "2.4183 inches

Step 2. - Solving the Problem

To round to the nearest 1/8 inch, we can divide the number 2.4183 by 1/8.

$2.4183 \div(1/8)$

Recall that dividing by a fraction is the same as multiplying by the reciprocal

$2.4183 * 8$

19.3464

So, there are approximately 19, one-eighth-inches in the measurement. (Note that 19.3464 is closer to 19 than it is to 20). To find the final rounded measurement, multiply 19 by 1/8

$19 * (1/8)$

2.375 inches

So, the diameter of the bolt that should be used (if rounded to the nearest 1/8 inch, to allow for a factor of safety of 1.5) is 2.375 inches

5 0

1 year ago