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Darina [25.2K]
3 years ago
11

Emerson earns money from walking dogs and answering surveys. He earns $5 a week for each dog he walks and $0.10 for each survey

he answers. Last week, Emerson answered 100 surveys and earned $35. Part A: Create an equation that will determine the number of dogs he walked. (3 points) Part B: Solve this equation justifying each step with an algebraic property of equality. (6 points) Part C: How many dogs did Emerson walk last week? (1 point)
Mathematics
2 answers:
maria [59]3 years ago
8 0
Part A: X=(35-(100*0.10))/5  35= 5X+(100*0.10)
Where X is the number of dogs he walked.

Part B: To solve the equation just simplify it by using inverse operations. It should give you 5 dogs walked. The algebraic property justifying this is inverse operations.

Part C: Emerson walked 5 dogs last week.

NemiM [27]3 years ago
4 0
He walked 5 dogs a week
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Answer:

First statement is correct.

Step-by-step explanation:

If we add or subtract a constant to each term in a set:  Mean will increase or decrease by the same constant.  Standard Deviation will not change.

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For example:

Standard Deviation of a set: {1,1,4} will be the same as that of {5,5,8} as second set is obtained by adding 4 to each term of the first set.

That's because Standard Deviation shows how much variation there is from the mean. And when adding or subtracting a constant to each term we are shifting the mean of the set by this constant (mean will increase or decrease by the same constant) but the variation from the mean remains the same as all terms are also shifted by the same constant.

So according to this rule, statement (1) is sufficient to get new Standard Deviation, it'll be 30% less than the old.. As for statement (2) it's clearly insufficient as knowing mean gives us no help in getting new Standard Deviation.

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3 years ago
Match the expression to its value.​
brilliants [131]

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1       a

2      b

3      c

4      d

Step-by-step explanation:

1b

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evablogger [386]
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3 years ago
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Answer:

m + n = 15

m - 3 = n

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Step-by-step explanation:

From the question,

The sum of two numbers is fifteen; the first number is m and the second number is n. To translate to a system of equations, we can write that

m + n = 15 ..... (1)

Also, from the question,

One number is three less than the other,

Also, to translate to a system of equations, we can write that

m - 3 = n ...... (2)

If desired, we can determine m and n

From equation (1)

m + n = 15

Then,

m = 15 - n ...... (3)

Put the value of m in equation (3) into equation (2)

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