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Anna11 [10]
4 years ago
15

Simplify the following problem, explaining each step.

Mathematics
1 answer:
Lera25 [3.4K]4 years ago
3 0

Answer:

33 - 4x

Step-by-step explanation:

Given the term to be solved by explaining each step:

13 - 4(x - 5)

First of all, the bracket will be solved as per the BODMAS rule.

The bracket term is:

4(x-5)

Now, 4 will be multiplied with x and -5.

i.e.

4(x-5)=(4\times x-4\times 5)\\\Rightarrow (4x-20)

Now, let us put the value back in the original expression.

13 - 4(x - 5) = 13-(4x-20)

Now, let us remove the bracket, negative sign will be multiplied with both i.e. 4x and -20

\Rightarrow 13-4x+20 (\because negative multiplied with negative makes positive term)

Now, 13 and 20 are like terms, they will be added.

\therefore the expression is equivalent to :

\bold{33-4x}

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How do find the median and range..?<br><br> give examples!
swat32

Answer:

Count how many numbers you have. If you have an odd number, divide by 2 and round up to get the position of the median number. If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

The range is calculated by subtracting the lowest value from the highest value.
Step-by-step explanation:

hope this helped!

7 0
3 years ago
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16 quarts per minute = gallons per minute <br><br> how many gallons equal 16 quarts
disa [49]
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4 years ago
1) Andy’s father is 25 years older than him and his sister’s age is twice the age of Andy. If the total of their ages is 53 year
rodikova [14]

Answer:

Andy is 7 and Andy's father is 32

Step-by-step explanation:

I used the guess and check method, starting from Andy being 5.

If Andy was 5, his dad would be 30, and his sister would be 10. 5+30+10=45

Too low

If Andy was 6, his dad would be 31, and his sister would be 12. 6+31+12= 49

Too low again

If Andy was 7, his dad would be 32, and his sister would be 14. 7+32+14=53

Andy is 7 and his Father is 32

Another method you could use is to make an equation and solve.

A = Andy

S= Sister

F= Father

S=2A (Andy's sister is twice the age of Andy)

F=A+25 (Andy's father is 25 years older then Andy)

A+S+F=53 (The total of their ages is 53 years)

Substitute your variables

A+(2A)+(A+25)=53

Subtract 25 from both sides

A+(2A)+(A+25)=53

                 -25 -25

A+(2A)+(A)=28

Add up your variables

A+(2A)+(A)=28

4A=28

Divide to find A

4A=28

A=7

Now solve for the Fathers age

F=A+25

F=32

Andy is 7 and his Father is 32

8 0
3 years ago
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Answer:

-1, -4, 2, 4

Step-by-step explanation:

The are ascending

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Solve:<br> -19 + 3x = 3(x - 5)
ollegr [7]

Answer:

x=4

Step-by-step explanation:

19+3x=3(x-5)

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19+3x=3x-15

subtract 19 on other side

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