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melamori03 [73]
4 years ago
8

HELP giving brainliest: express the following ratio as a unit rate. Round to the nearest tenth, if necessary. 400 yards in 62.5

seconds a. 6.4 yards per second c. 0.64 yard per second b. 64 yards per second d. 0.2 yard per second
Mathematics
1 answer:
Elden [556K]4 years ago
4 0

The unit rate is 6.4 yards per second.

Step-by-step explanation:

Given statement is;

400 yards in 62.5 seconds

As we have to find unit rate in terms of seconds; therefore, we will divide total yards by total seconds.

62.5 seconds = 400 yards

Dividing both sides by 62.5

\frac{62.5}{62.5}\ seconds=\frac{400}{62.5}\ yards\\1\ second = 6.4\ yards

The unit rate is 6.4 yards per second.

Keywords: unit rate, division

Learn more about unit rate at:

  • brainly.com/question/10081622
  • brainly.com/question/10341324

#LearnwithBrainly

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Answer:

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$15,800+$18,170= $33,970 total price

That is 115% x $15,800 = $18,170 markup price

Then add the original price to the markup price

That is $15,800 + $18,170 = $33,970

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4 years ago
True or false? 18quiv36(mod)6
spayn [35]
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You get a raise of 3.5% each year.
Sindrei [870]

Using an exponential function, it is found that:

a) The doubling time of the salary is of approximately 20 years.

b) The salary will be of $160,000.

<h3>What is an exponential function?</h3>

An increasing exponential function is modeled by:

A(t) = A(0)(1 + r)^t

In which:

  • A(0) is the initial value.
  • r is the growth rate, as a decimal.

The growth rate for this problem is:

r = 0.035.

The doubling time is t for which A(t) = 2A(0), hence:

A(t) = A(0)(1 + r)^t

2A(0) = A(0)(1.035)^t

(1.035)^t = 2

\log{(1.035)^t} = \log{2}

t\log{1.035} = \log{2}

t = \frac{\log{2}}{\log{1.035}}

t = 20 years.

You retire in 40 years, which is 2 doubling periods, hence the salary will be of:

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More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

3 0
2 years ago
Describe the equation 2x + 15 = 23 + x in words.
AveGali [126]

Answer:

x = 8

x = 21/14

x = 8

x = 15/21

x = 1/4

x = 7

Step-by-step explanation:

(For all instances of number, let it be x)

Double the sum of a number and 15. The result is the same as the product of 23 and the number.

2x + 15 = 23 + x

2x - x + 15 = 23 + x - x

x + 15 = 23

x + 15 - 15 = 23 - 15

x = 8

Multiply a number by 15 and add 2. The result is the same as the sum of 23 and the number.

15x + 2 = 23 + x

14x + 2 = 23

14x = 21

x = 21/14

Double a number and add 15. The result is the same as the sum of 23 and the number.

2x + 15 = 23 + x

x + 15 = 23

x = 8

Double a number and add 15. The result is the same as the product of 23 and the number. (This time we will move the x to the other side as the right side has a larger x than the left side)

2x + 15 = 23x

15 = 21x

x = 15/21

Multiply a number by 15 and add 2. The result is the same as the product of 23 and the number.

15x + 2 = 23x

2 = 8x

2/8 = x

x = 1/4

Double the sum of a number and 15. The result is the same as the sum of 23 and the number.

2(x + 15) = 23 + x

2x + 30 = 23 + x

x + 30 = 23

x = 7

6 0
3 years ago
Determine the ordered pair that satisfies the equation, 5x + 2y = 7.
AveGali [126]

Answer:

None of the first 4 do. so I guess the answers E.

Step-by-step explanation:

8 0
3 years ago
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