Mathematics, 29.11.2019 19:31 tarangorogelio

Three times a number is subtracted from another number and the difference is 3. the sum of the two numbers is 31. what is the smaller of the two numbers

Answers: 1

Show answers

Answers

Answer from: Mani2019

Step-by-step explanation:

let the 2 numbers be x and y with y > x, then

y - 3x = 3 → (1)

x + y = 31 → (2)

Rearrange (1) expressing y in terms of x by adding 3x to both sides

y = 3 + 3x → (3)

Substitute y = 3 + 3x into (2)

x + 3 + 3x = 31, that is

4x + 3 = 31 ( subtract 3 from both sides )

4x = 28 ( divide both sides by 4 )

x = 7

and y = 3 + (3 × 7) = 3 + 21 = 24

The smaller of the 2 numbers is 7

Answer from: Quest

x^6

step-by-step explanation:

this is correct because:

x-6=0

0*x=0

x^6

Answer from: Quest

x= 1

step-by-step explanation: convert 5\frac{11}{12}5

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{5\times 12+11}{12}3.25+0.5x+1

5×12+11

2 simplify 5\times 125×12 to 6060

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{60+11}{12}3.25+0.5x+1

60+11

3 simplify 60+1160+11 to 7171

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{71}{12}3.25+0.5x+1

4 simplify \frac{5}{6}x

x to \frac{5x}{6}

3.25+0.5x+1\frac{1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+1

5 convert 1\frac{1}{3}1

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+\frac{1\times 3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

1×3+1

6 simplify 1\times 31×3 to 33

3.25+0.5x+\frac{3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

3+1

7 simplify 3+13+1 to 44

3.25+0.5x+\frac{4}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

8 simplify 3.25+0.5x+\frac{4}{3}+\frac{5x}{6}3.25+0.5x+

to \frac{13.75}{3}+\frac{4x}{3}

13.75

\frac{13.75}{3}+\frac{4x}{3}=\frac{71}{12}

13.75

9 simplify \frac{13.75}{3}

13.75

to 4.5833334.583333

4.583333+\frac{4x}{3}=\frac{71}{12}4.583333+

10 subtract 4.5833334.583333 from both sides

\frac{4x}{3}=\frac{71}{12}-4.583333

−4.583333

11 simplify \frac{71}{12}-4.583333

−4.583333 to \frac{4}{3}

\frac{4x}{3}=\frac{4}{3}

12 multiply both sides by 33

4x=\frac{4}{3}\times 34x=

×3

13 simplify \frac{4}{3}\times 3

×3 to \frac{12}{3}

4x=\frac{12}{3}4x=

14 simplify \frac{12}{3}

to 44

4x=44x=4

15 divide both sides by 44

x=1

Another question on Mathematics

Mathematics, 21.06.2019 19:00

What is the percentile for data value 6 in the following data set? 4 13 8 6 4 4 13 6 4 13 2 13 15 5 9 4 12 8 6 13 40 25 35 62

Answers: 2

Answer

Mathematics, 21.06.2019 20:30

What is the volume of the cone to the nearest cubic millimeter? (use π = 3.14) a) 46 mm3 b) 128 mm3 c) 183 mm3 d) 275 mm3 diameter = 5 mm height = 7 mm how do you do this problem step by step?

Answers: 1

Answer

Mathematics, 22.06.2019 01:00

Lines f and g are cut by the transversal d. the measure of 1 = 2x + 35 and the measure of 8 = 10x - 85. what value of x will show that lines f and g are parallel? a. 19 b. 26 c. 18 d. 15

Answers: 1

Answer

Mathematics, 22.06.2019 01:30

What is the equivalent fraction for the following fraction using 5 as the multiplier? 1/2

Answers: 2

Answer

You know the right answer?

Three times a number is subtracted from another number and the difference is 3. the sum of the two n...

Questions

Mathematics, 16.09.2019 01:30

Abox of nails weigh 4 pounds how many ounces do 5 boxs of nails weigh?...