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Lemur [1.5K]
3 years ago
15

Mike thought of a number. He added to it two other numbers. One of these numbers was 12 less than his number, the other was 12 m

ore than his number. The result of addition was 15. What was Mike’s original number?
Mathematics
2 answers:
wariber [46]3 years ago
6 0

Let us say the number was x.

Mike added to it two other numbers.

First number added is 12 less than the original number.

So first number is x-12.

Second number added is 12 more than the original number.

So second number is x+12.

Now we are given that the result of adding all three numbers is 15.

Converting the information given into equation, we have:

original number + first number + second number =15

x+(x-12)+(x+12)=15

Adding like terms,

3x=15

dividing both sides by 3,

x=5

Answer: So the original number that Mike thought was 5.

NikAS [45]3 years ago
3 0
The answer is 5 because 5 plus 17 is 22 minus 7 is 15 meaning that the answer is 5
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4/f + 11 =29 what does f =
Delvig [45]
\frac{4}{f} + 11 = 29

First, subtract '11' from each side.
\frac{4}{f} = 29 - 11

Second, subtract '29 - 11' to get '18'.
\frac{4}{f} = 18

Third, since we are solving for f, we have to get it by itself. Multiply each side by 'f'.
4 = 18f

Fourth, once again, we need to get 'f' alone. Divide both sides by 18. 
\frac{4}{18} = f

Fifth, now that we have 'f' by itself, we can simplify the current fraction. To do so, we need to start off with listing the factors of 4 and 18 and find the greatest common factor (GCF).

Factors of 4: 1, 2, 4
Factors of 18: 1, 2, 3, 6, 9, 18

Out of the listed factors, 1 and 2 are the common factors, and since 2 is the highest number out of them, it is considered the greatest common factor. The GCF is 2.

Sixth, divide the numerator and denominator by the GCF (2).
4 \div 2 = 2  \\  18 \div 2 = 9

Seventh, we can now rewrite our fraction in simplest form and switch sides.
f =  \frac{2}{9}

Answer in fraction form: \fbox {2/9}
Answer in decimal form: \fbox {0.2222}

7 0
3 years ago
Read 2 more answers
(06.01)<br> Solve x + 3y = 9<br> 3x − 3y = −13
Irina-Kira [14]

Answer:

Slove For X

x= -1

Solve for Y

Y= 10/3

Step-by-step explanation:

SO I did Elimination method

To isolate X and to solve for it

x+3y=9

3x−3y=−13

Add these equations to eliminate y:

4x=−4

Solve for X

x=-1

Now plug x back in to solve for y

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3 years ago
Solve the inequality. 5(x + 1) – 10 ≥ 2x + 3(x + 2)
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There are no values of x that make the inequality true
No solution.
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3 years ago
A data set is made up of these values three, three, four, six, six, seven, 10.
Gnoma [55]

Answer:

D

Step-by-step explanation:

4 0
3 years ago
Last year, Deshaun had $20,000 to invest. He invested some of it in an account that paid 9% simple interest per year, and he inv
dezoksy [38]

Answer:

the amount Deshaun invested in an account that paid 9% interest = $9,000

the amount Deshaun invested in an account that paid 5% interest = $11,000

Step-by-step explanation:

Let x = the amount Deshaun invested in an account that paid 9% interest

Let y = the amount Deshaun invested in an account that paid 5% interest.

Thus;

x + y = 20,000 - - - - (eq 1)

Now, After one year, he received a total of $1440 in interest. Thus;

0.09x + 0.05y = 1440

Multiply each term by 100 to give;

9x + 5y = 144000 ---- (eq 2)

Making x the subject in equation 1,we have;

x = 20,000 - y

Putting 20,000 - y for x in eq 2,we have;

9(20,000 - y) + 5y = 1440

180000 - 9y + 5y = 144000

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180000 - 144000 = 4y

36000 = 4y

Divide both sides by 4 to give;

y = 36000/4

y = $9,000

x = 20,000 - 9000

x = $11,000

7 0
3 years ago
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