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andrew11 [14]
3 years ago
15

Simplify the expression 4x+2-1/2x

Mathematics
1 answer:
arsen [322]3 years ago
7 0

Answer:

7/2 x  + 2

Step-by-step explanation:

4x+2−

1

2

x

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The equation of a line is −2x+5y=−20. What is the x-intercept of the line? Enter your answer in the box.
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Answer:0

Step-by-step explanation:

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3 years ago
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A pole that is 3.4 m tall casts a shadow that is 1.54 m long. At the same time, a nearby building casts a shadow that is 35.75 m
inna [77]

Answer:

The building would be 78.92 meters tall.

Step-by-step explanation:

If the shodow of a 3.4m tall pole is 1.54m tall, and you have the shadow's height, then you make a cross, multiply-divide ratio table.

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3 years ago
Find csc theta and sin theta if tan theta = 7/4 and sin theta less than 0
stiv31 [10]

9514 1404 393

Answer:

  sin(θ) = (-7√65)/65

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Step-by-step explanation:

The angle will have the given characteristics if its terminal ray passes through the 3rd-quadrant point (-4, -7). The distance from the origin to that point is ...

  d = √((-4)² +(-7)²) = √65

The sine of the angle is the ratio of the y-coordinate to this value:

  sin(θ) = -7/√65

  sin(θ) = (-7√65)/65

The cosecant is the inverse of the sine

  csc(θ) = (-√65)/7

8 0
3 years ago
Amy ran 8 miles. She recorded how long it took her to run each mile, rounded to the nearest 1/4 of a minute. How long did it tak
soldi70 [24.7K]

Answer: 16 minutes.

Step-by-step explanation:

Given that the:

Distance covered = 8 miles

And it took her to run each mile, rounded to the nearest 1/4 of a minute.

Since it is a minute ( 1 minute ), add 0.25 to 1 for the fastest and subtract 0.25 from 1 for the slowest.

That is, 1 + 0.25 = 1.25 for maximum time, and 1 - 0.25 = 0.75 for the minimum.

For the Army slowest , 8 × 0.75 = 6 minutes

For the Army fastest, 8 × 1.25 = 10

Amy runs her slowest and fastest mile combined by adding the value of the slowest to the value of the fastest.

10 + 6 = 16 minutes

8 0
4 years ago
A toll road company has two plans for customers. One plan charges $10 per month for rental of a transponder (a box that identifi
Lunna [17]

Answer:

The minimum number of miles you would need to drive in a month to make the first deal a better deal is 66.6 miles.

Step-by-step explanation:

For the first deal to be a better deal it has to cost less than the second plan and you can write an equation in which the first plan has a lower cost than the second one:

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According to this, the answer is that the minimum number of miles you would need to drive in a month to make the first deal a better deal is 66.6 miles.

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3 years ago
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