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-Dominant- [34]
3 years ago
15

A group of workers can plant 2/5 acres in 7/8 days. What is the unit rate in acres per day?

Mathematics
1 answer:
ivann1987 [24]3 years ago
8 0
16/35

In 1/8 of a day they plant 2/35 of an Acre
So multiply 1/8 by 8 to get one day next do this to the rest of the problem 2/35 times 8 is 16/35 and that’s the answer
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Becca and Kimberly are running at a constant speed in a marathon. Becca runs at 4.5 miles per hour. Kimberly’s progress is shown
Georgia [21]

Answer:

Part A: Kimberly

Part B:

Becca = 22.5 miles, Kimberly = 25 miles

Step-by-step explanation:

Part A:

Given that Becca runs at a constant speed of 4.5 miles per hour, use the table to find the constant speed that Kimberly runs, and compare who runs faster.

Let x = time

y = distance

k = speed = y/x

Equation for each person can be written as: y = kx

Therefore:

✔️Equation for Becca if k = 4.5

y = 4.5x

✔️Find k (speed) of Kimberly using (2, 10):

Speed (k) = y/x

k = 10/2

k = 5 miles per hour

Equation for Kimberly would be:

y = 5x

Comparing their speed, Kimberly runs faster because she covers more miles per hour than Becca does.

Part B:

For Becca, substitute x = 5 into Becca's equation, y = 4.5x

Thus:

y = 4.5*5 = 22.5 miles

For Kimberly, substitute x = 5 into Kimberly's equation, y = 5x

Thus:

y = 5*5 = 25 miles

5 0
2 years ago
My number is a multiple of 2 & 7 my number is less than 100 but greater than 50 my number is the product of three prime numb
forsale [732]
12345678910
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8 0
2 years ago
Eight minus the quotient of two and a number x
Tema [17]
8 - (2 / x)

/ = division 


5 0
3 years ago
Read 2 more answers
When the population mean and standard deviation are known, what distribution is used for the analysis of the sample?.
Kitty [74]

When the population mean and standard deviation are known, you use the standard normal distribution

<h3>How to determine the distribution?</h3>

There are several probability distributions; these include

  • Normal distribution
  • Poisson distribution
  • Chi square distribution
  • Binomial distribution
  • Etc

Of all these distribution, only the standard normal distribution can be used when the population mean and standard deviation are known,

Note that it is also referred to as the z-distribution

Read more about probability distributions at:

brainly.com/question/24756209

7 0
1 year ago
Douglas invests money in two simple interest accounts. He invests three times as much in an account paying 14% as he does in an
Rainbow [258]

Douglas invested $ 1300 altogether

<em><u>Solution:</u></em>

Let x represent the amount invested in the account paying 14% interest.

Let y represent the amount invested in the account paying 5% interest

He invests three times as much in an account paying 14% as he does in an account paying 5%

Which means,

x = 3y

<em><u>The simple interest is given by formula:</u></em>

S.I = \frac{p \times n \times r}{100}

Where,

"p" is the principal

"n" is the number of years

"r" is the rate of interest

<em><u>He earns $152.75 in interest in one year from both accounts combined</u></em>

Therefore,

Combined S.I = 152.75

n = 1 year

<em><u>Considering the account earning 14% interest:</u></em>

S.I = \frac{3y \times 14 \times 1}{100}\\\\S.I = 0.42y

<em><u>Considering the account earning 5% interest:</u></em>

S.I = \frac{y \times 5 \times 1}{100}\\\\S.I = 0.05y

<em><u>Since, Combined S.I = 152.75</u></em>

Therefore,

0.42y + 0.05y = 152.75

0.47y = 152.75

Divide both sides by 0.47

y = 325

Therefore,

x = 3y

x = 3(325)

x = 975

<em><u>how much did he invest altogether?</u></em>

Amount invested together = x + y = 975 + 325 = 1300

Thus he invested $ 1300 altogether

3 0
2 years ago
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