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____ [38]
2 years ago
13

Four times a number is equal to the number increased by 15. Enter the equation that represents Karla's sentence into the box. Us

e y for the variable.
Mathematics
1 answer:
Montano1993 [528]2 years ago
5 0

Answer:

The equation that represents Karla's sentence is 4y = y + 15

Step-by-step explanation:

From the question,

Four times a number is equal to the number increased by 15. To write the equation that represents the sentence, we will have to use a variable to represent the unknown number.

Since we are asked to use y for the variable, that is, let the number be y

Then

The statement, "four times a number" will be

4×y = 4y

and this is equal to the number increased by 15,

The number increased by 15 means y + 15.

Hence, the equation becomes

4y = y + 15

This is the equation that represent Karla's sentence.

If desired,

The unknown number can be determined by solving for y in the equation

4y = y + 15

First, Collect like terms

4y - y = 15

3y = 15

Then, Divide both sides by 3

3y/3 = 15/3

y = 5

Hence, the variable (unknown number) is 5.

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Answer:

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5 0
2 years ago
Help with 694 = x10<br><br> and its says write it in scientific notation
nikitadnepr [17]

Answer:

a = 6.94

b = 2

Now the whole thing:

6.94 x 102

Check your work:

102 = 100 x 6.94 = 694


Hope this helped!!!

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7 0
2 years ago
Read 2 more answers
What is the radius of a circle with a circumference of 36(3.14) cm
mart [117]
It should be 18, because despite of 3,14, because that's pi and radius is half of the diameter, so36 divide 2 is 18.
6 0
2 years ago
The population standard deviation for the typing speeds for secretaries is 4 words per minute. If we want to be 90% confident th
Oksana_A [137]

Answer:

The minimum sample size that should be taken is 62.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

If we want to be 90% confident that the sample mean is within 1 word per minute of the true population mean, what is the minimum sample size that should be taken

This is n when M = 1, \sigma = 4. So

M = z*\frac{\sigma}{\sqrt{n}}

1 = 1.96*\frac{4}{\sqrt{n}}

\sqrt{n} = 4*1.96

(\sqrt{n})^{2} = (4*1.96)^{2}

n = 61.5

The minimum sample size that should be taken is 62.

8 0
3 years ago
Explain why 1.55 centimeters is a reasonable answer for the difference in the wingspans of the two butterflies
melamori03 [73]
The difference is referring to subtraction, so the question was most likely something like how much longer is this butterflies wings than this ones. so 4.55 might be one of the lengths and 3 might be the other, so 4.55 - 3 is 1.55.
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3 years ago
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