if 8 is added to twice a number and this sum is multiplied by 3ˏ the result is the number multiplied by 3 and 9 is added to the product.Whats the number?

Answers

Answer 1

Answer: $n-a\ number\n\n(8+2n)\cdot3=3n+9\n\n8\cdot3+2n\cdot3=3n+9\n\n24+6n=3n+9\ \ \ \ /-24\n\n24-24+6n=3n+9-24\n\n6n=3n-15\ \ \ \ /-3n\n\n6n-3n=3n-3n-15\n\n3n=-15\ \ \ \ /:3\n\n3n:3=-15:3\n\nn=-5$

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Let h(x) = -2x - 5. If h(x) = -25, find x

Answers

Answer:

10 =x

Step-by-step explanation:

Let h(x) = -2x - 5. If h(x) = -25

-25 = -2x-5

Solve for x

Add 5 to each side.

-25+5 = -2x-5+5

-20 = -2x

Divide by -2

-20/-2 = -2x/-2

10 =x

To put a narrow border around a square photo, Alicia has 32 inches of trim. The area of the photo is 60 square inches. Will she have enough trim for all four sides of the square? Explain how you decided.

Answers

Answer:

Yes

Step-by-step explanation:

With 32 inches of trim, she can trim a square that is 32/4 = 8 inches on a side. That square would have an area of 8² = 64 square inches. The square she has is 60 square inches, so is smaller. There will be sufficient trim for it.

Check the picture below.

let's recall that a square has all equal sides, so the perimeter of the square is about 31, and Alicia has 32 inches of trim, so she's golden.

Find the equation of the straight line passing through the point (3,5) which is perpendicular to the line y=-3x+2

Answers

Answer:

y = $(1)/(3)$ x + 4

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = - 3x + 2 is in this form with slope m = - 3

given a line with slope m then the slope of a line perpendicular to it is

$m_(perpendicular)$ = - $(1)/(m)$ = - $(1)/(-3)$ = $(1)/(3)$

y = $(1)/(3)$ x + c ← is the partial equation

to find c substitute (3, 5 ) into the partial equation

5 = 1 + c ⇒ c = 5 - 1 = 4

y = $(1)/(3)$ x + 4 ← equation of perpendicular line

Nick spent 1 3/4 hours doing homework. Of that time, 2/3 was spent on a social studies project. How many hours did Nick spend working on the project?

Answers

1 3/4 hours spent on homework

2/3 of that 1 3/4 hours spent on the project...

2/3 x 1 3/4 =
2/3 x 7/4 = 14/12 = 1 2/12 = 1 1/6

Nick spent 1 1/6 hours (or 1 hour and 10 minutes) on the project.

Brent's pick-up truck can carry 1/5 ton. Nina's pick-up truck can carry 500 pounds. Whose pick-up truck carry's more weight. ExplainDon't know how to Explain