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3 years ago

Solve the system by substitution. y = 8x y=10x – 4 Submit Answer How

Mathematics

1 answer:

Goshia [24]3 years ago

6 0

Answer:

(2,16)

Step-by-step explanation:

y=8x-----------(i)

y= 10x-4---------(ii)

Substituting the value of y=8x in equation (ii)

8x=10x-4

8x-10x=-4

-2x= -4

x=2

Now, substituting the value of x= 2 in equation (i)

y=8x=8(2)=16

Solution of the system is (2,16)

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Juans three math quizzes this week took him 1/3?4/6?and1/5 hour to complete. List all the fraction from least to greatest

Alex

Answer:

$\frac{1}{5}$ , $\frac{1}{3}$ , $\frac{4}{6}$ .

Step-by-step explanation:

Given fractions $\frac{1}{3}$ , $\frac{4}{6}$ , $\frac{1}{5}$ .

We need to list them from least to greatest.

In order to arrange them from least to greatest, we need to find the least common denominator of $\frac{1}{3}$ , $\frac{4}{6}$ , $\frac{1}{5}$ .

We have 3, 6 and 5 in denominators.

Least common multiple of 3, 6 and 5 is = 30, because 30 is least number that can be divided by all three number 3, 6 and 5.

Let us covert each denominator as 30.

Multiplying first fraction $\frac{1}{3}$ by 10 in top and bottom, we get

$\frac{1}{3} = \frac{1\times10}{3\times10}=\frac{10}{30}$

Multiplying first fraction $\frac{4}{6}$ by 5 in top and bottom, we get

$\frac{4}{6} = \frac{4\times5}{6\times5}=\frac{20}{30}$

Multiplying first fraction $\frac{1}{5}$ by 6 in top and bottom, we get

$\frac{1}{5} = \frac{1\times6}{5\times6}=\frac{6}{30}.$

Now, we can check $\frac{10}{30}, \frac{20}{30} \ and \ \frac{6}{30}.$

$\frac{6}{30}$ is the smallest, $\frac{10}{30}$ is greater and $\frac{20}{30}$ is the greatest.

Therefore, we can arrange fractions $\frac{6}{30}, \frac{10}{30} \ and \ \frac{20}{30}.$

Writing original fractions in place of equivalent fractions, we can write

$\frac{1}{5}$ , $\frac{1}{3}$ and $\frac{4}{6}$ .

Therefore, the order the amounts of paint from least to greatest is:

$\frac{1}{5}$ , $\frac{1}{3}$ , $\frac{4}{6}$ .

4 0

3 years ago

An equation is shown below:

maw [93]

Part A: 1 solution

Part B:
4(3d −7) = −52

(4)(3d) + (4)(-7)= -52

12d + -28 = -52

12d - 28 = -52

12d - 28 + 28 = -52 + 28

12d = -24

12d/12 = -24/12

d = -2

:)

3 0

4 years ago

Find all real solutions<br> x + 5 = 14 - <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20" id="TexFormula1" title="

rosijanka [135]

Multiply all terms by 2 to get rid of fractions
2x+10=28-x

Add x to both sides
3x+10=28

Subtract 10 from both sides
3x=18

Divide both sides by 3
x=6

Final answer: x=6

8 0

4 years ago

What would r be equal to?

Hunter-Best [27]

Answer:

r = √v/πh

Step-by-step explanation:

r² = v/πh

r = √v/πh

Hope you got it

..,

8 0

3 years ago

80% of what number is 16?

ANEK [815]

Part: 16
total: 20
percent: 80%

6 0

4 years ago