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sveta [45]
3 years ago
15

For each hour he babysits, Anderson earns $1 more than half of Carey’s hourly rate. Anderson earns $6 per hour. Which equation c

an be used to solve for Carey’s hourly rate, c?
Mathematics
1 answer:
Illusion [34]3 years ago
5 0

Answer: Our required equation would be 6=\dfrac{c}{2}+1

Step-by-step explanation:

Since we have given that

Amount that Anderson earns per hour = $6

According to question, Anderson earns $1 more than half of Carey's hourly rate.

Let the hourly rate of Carey be 'c'.

So, it becomes,

6=\dfrac{c}{2}+1

And the value of c would be

6=\dfrac{c}{2}+1\\\\6-1=\dfrac{c}{2}\\\\5=\dfrac{c}{2}\\\\c=\$10

Hence, our required equation would be 6=\dfrac{c}{2}+1

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Find the sum of the first 47 terms of the following series, to the nearest integer.
Leokris [45]

Answer:

The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ is 4,888

Step-by-step explanation:

The given series is;

12, 16, 20, ...,

Therefore, the first term of the series is, a = 12

The common difference of series is found as follows;

The difference between subsequent terms, 12 and 16 is  16 - 12 = 4

The difference between subsequent terms, 16, and 20 is  20 - 16 = 4

Therefore, the common difference, d = 4

The series is therefore an arithmetic projection, AP

The sum of the first 'n' terms of an AP, Sₙ, is given as follows;

S_n = \dfrac{n}{2} \cdot \left [2 \cdot a + (n - 1)\cdot d \right ]

(47/2)*(2*12+(47-1)*4)

The sum of the first 47 terms is therefore given as follows;

S_n = \dfrac{47}{2} \cdot \left [2 \times 12 + (47 - 1)\times 4 \right ] = 4,888

The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ = 4,888

5 0
3 years ago
4(2x + 3) in the simplest form
Aleonysh [2.5K]

Answer: 8x+12

Step-by-step explanation:

We can use the Distributive Property to get it in it's simplest form

4(2x+3)

(4)(2x)+(4)(3)

8x+12

3 0
3 years ago
Read 2 more answers
96,187 square miles. Round the area to the nearest ten.
UNO [17]

Answer:

96,190 sq m

Step-by-step explanation:

96,187

7 is greater than 5 so we round up

8 + 1 is 9

Therefore 96,187 rounded to the nearest ten is 96,190

Hope this helped~

Your local smart crackhead

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Answer:

HOPE THIS HELPS!!

Step-by-step explanation:

YOU could find it by doing these steps:

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Scale Drawing Area = �� square units.

Value of the Ratio of the Scale Drawing Area to the Actual Area:

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s344n2d4d5 [400]
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The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56

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Then the greatest common factor is 28.
3 0
3 years ago
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