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3 years ago

Determine the numbers of solutions for 4x + 8 = 12x

Mathematics

1 answer:

mart [117]3 years ago

4 0

Answer:

x= 1

Step-by-step explanation:

Step 1- Subtract 4x to both sides(Move the x to one side).

4x+8= 12x

-4x -4x

8= 8x

Step 2- Divide both sides by 8(Isolate the variable).

8 8

x= 1

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Find the equation of the line that is perpendicular to LaTeX: y=-\frac{1}{5}x+3y = − 1 5 x + 3 and goes through the point (4, -3

Elenna [48]

Answer:

$y=5x-23$

Step-by-step explanation:

step 1

Find the slope of the line that is perpendicular to the given line

we have

$y=-\frac{1}{5}x+3$ -----> given line

The slope of the given line is

$m=-\frac{1}{5}$

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal

therefore

The slope of the line that is perpendicular to the given line is

$m=5$

step 2

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=5\\point\ (4,-3)$

substitute

$-3=5(4)+b$

solve for b

$b=-23$

therefore

$y=5x-23$

6 0

3 years ago

Layla, Eliana and Nature each carried 10 pound bag of soil into the backyard. After putting soil in the first flower bed, Layla'

Ivanshal [37]

Answer: 17.75 pounds

Step-by-step explanation:

After putting soil in the first flower bed, Layla's bag was ⅝ full. The pound of soil will be: = 5/8 × 10 = 6.25 pounds

Eliana's bag was ⅖ full. The pound of soil will be: = 2/5 × 10 = 4 pounds

Nature's bag was ¾ full. The pound of soil will be: = 3/4 × 10 = 30/4 = 7.5 pounds

The number of pounds of soil that they put in the first flower bed altogether will be:

= 6.25 + 4 + 7.5

= 17.75 pounds

8 0

3 years ago

Hector had 30 minutes to do a three-problem quiz. He spent 11 3 4 minutes on question A and 6 1 2 minutes on question B. How muc

stich3 [128]

Answer:

$11 \frac{3}{4}$ min

Step-by-step explanation:

In order to solve this problem, we must subtract the times he has already used from the time he has available, so we get:

$30-11 \frac{3}{4} - 6 \frac{1}{2}$

we can start solving this subtraction by turning all of the numbers into improper fractions so we get:

$\frac{30}{1}-\frac{11*4+3}{4}- \frac{6*2+1}{2}$

$\frac{30}{1}-\frac{47}{4}- \frac{13}{2}$

next, we can find a least common denominator. In this case it will be 4, so we need to turn all denominators into a 4, so we get:

$\frac{30*4}{1*4}-\frac{47}{4}- \frac{13*2}{2*2}$

$\frac{120}{4}-\frac{47}{4}- \frac{26}{4}$

and now we can subtract the numerators and copy the denominators so we get:

$\frac{120-47-26}{4}$

$\frac{47}{4}$

which can now be turned into a mixed number by dividing 47/4 which yields 11 with a remainder of 3, so the mixed number is:

$11 \frac{3}{4}$ min

and this is the amount of time he has available to solve the las problem.

6 0

3 years ago

-4-2-2) - 2x + 5 = 31

Nonamiya [84]

Answer:

2x+5=31 is the most common correct answer

3 0

3 years ago

Is 85/95 greater than 64/76

madam [21]

85/95 is equal to 0.8947
64/76 is equal to 0.842
Therefore, 85/95 is greater

5 0

4 years ago