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3 years ago

Which expression uses the greatest common factor and the distributive property to rewrite the sum 42+72

Mathematics

1 answer:

Komok [63]3 years ago

8 0

Well since the GCF of 6, (6x7)+(6x12) would be the distributive property, which would be 114

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Jemma is three times as old as Angie. Five years from now the sum of their ages will be 34 years. What are their present ages?

Lapatulllka [165]

Answer: Angie = 6, Jemma = 18

<u>Step-by-step explanation:</u>

Let x represent the current age of Angie

Current Age Age 5 years from now

Angie: x x + 5

Jemma: 3x 3x + 5

5 years from now the sum of their ages is 34

(x + 5) + (3x + 5) = 34

4x + 10 = 34

4x = 24

x = 6

Angle's current age is x = 6

Jemma's current age is 3x = 3(6) = 18

5 0

3 years ago

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The sum of all three numbers is 12. The sum of twice the first number, 4 times the second number, and 5 times the third number i

grigory [225]

Answer:

The numbers are 7, 4 and 1

Step-by-step explanation:

Let the numbers =x, y, z.

The sum of all three numbers is 12, x+y+z=12--------i

The sum of twice the first number, 4 times the second number, and 5 times the third number is 35, 2x+4y+5z=35-------ii

The difference between 8 times the first number and the second number is 52, 8x-y=52---------iii

Now, from (i),z =1-x-y--------iv

substitute (iv) in (ii),

2x+4y+5(12-x-y)=35

2x+4y+60-5x-5y=35

collect like terms

-3x-y=-25

that is, 3x-y=25--------v

solving (iii) and (v) simultaneously (add iii and v), we have

11x=77

divide both sides by 11 to obtain x=7

Put x=7 in (v)

3(7)+y=25

21+y=25

implies y=25-21=4

put x=7 and y=4 in (iv)

z=12-7-4=1

Hence, the numbers are 7, 4 and 1.

5 0

3 years ago

Find the domain and range. state whether each set of ordered pairs is a function or not.

Gre4nikov [31]

Answer:

Set A is a function

set B is not a function

3 0

3 years ago

This is the last question plz help

kolezko [41]

Answer:

Skewed right as the values decrease to the right.

4 0

3 years ago

Convert into mixed number 81/3 and -29/2

LuckyWell [14K]

Hmmmm to convert from improper to mixed, simply do the division of both, the quotient gets upfront, the remainder as the numerator, for example,

how many times 3 goes into 81? well, 27 times, with a remainder of 0, thus $\bf 27\frac{0}{3}$

how many times does 2 go into 29? well 14 times, with a remainder of 1, thus $\bf -14\frac{1}{2}$

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3 years ago

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