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3 years ago

Find the slope of the line whose equation is 5y = x - 3.

2 answers:

4 0

Y=mx+b
m=slope
so we just have to convert it to such
5y=x-3
sivide both sides by 5 to get 1y
y=1/5x-3/5
y=mx+b
m=1/5
slope=1/5

Musya8 [376]3 years ago

3 0

Easy,

it's already good, written in y=mx+b form

m=slope

You have,

5y=x-3

Divide by 5 to isolate the y

$\frac{5y}{5}= \frac{x}{5}- \frac{3}{5}$

Making it,

y= $\frac{1}{5} x- \frac{3}{5}$

The slope,m, is $\frac{1}{5}$ .

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2 u + 12 < 23 0,1 d + 8 > 0 3 - 4 r > 7 13 < 2 z + 3 6 ≥ 9 - 0, 15 i

BartSMP [9]

Answer:

Part 1) $u< 5.5$

Part 2) $d > -80$

Part 3) $r < -1$

Part 4) $z>5$

Part 5) $i\geq 20$

Step-by-step explanation:

The question is

Solve each inequality for the indicated variable

Part 1) we have

$2u+12$

subtract 12 both sides

$2u< 23-12\\2u$

Divide by 2 both sides

$u< 5.5$

The solution is the interval (-∞,5.5)

In a number line the solution is the shaded area at left of u=5.5 (open circle)

The number 5.5 is not included in the solution

Part 2) we have

$0.1d+8 >0$

subtract 8 both sides

$0.1d > -8$

Divide by 0.1 both sides

$d > -80$

The solution is the interval (-80,∞)

In a number line the solution is the shaded area at right of d=-80 (open circle)

The number -80 is not included in the solution

Part 3) we have

$3-4r> 7$

Subtract 3 both sides

$-4r>7-3\\-4r>4$

Divide by -4 both sides

Remember that, when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

$r < -1$

The solution is the interval (-∞,-1)

In a number line the solution is the shaded area at left of r=-1.1 (open circle)

The number -1.1 is not included in the solution

Part 4) we have

$13< 2z+3$

Subtract 3 both sides

$13-3$

Divide by 2 both sides

$5$

Rewrite

$z>5$

The solution is the interval (5,∞)

In a number line the solution is the shaded area at right of z=5 (open circle)

The number 5 is not included in the solution

Part 5) we have

$6\geq 9-0.15i$

Subtract 9 both sides

$6-9\geq -0.15i\\-3\geq -0.15i$

Divide by -0.15 both sides

Remember that, when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

$20\leq i$

Rewrite

$i\geq 20$

The solution is the interval [20,∞)

In a number line the solution is the shaded area at right of i=20 (closed circle)

The number 20 is included in the solution

6 0

3 years ago

You and your friend are sharing 3/8 of a bag of candy how much of the bag will each of you get share it evenly. Is it going to b

olga_2 [115]

Answer:

You and your friend both get 3/16 of the bag.

Step-by-step explanation:

3/8 divided by 2 friends

3/8 / 2 = 3/16

6 0

2 years ago

What is -3 and 5/7 expressed as an improper fraction?

DedPeter [7]

This is equal to -3-5/7, or (-3*7)/7-5/7, or -21/7-5/7, or -26/7.

6 0

3 years ago

Round 0.971 to the nearest tenth

Flura [38]

Answer:

1.0

Step-by-step explanation:

You are rounding to the nearest tenth, so you should have only 2 places remaining (0.0). So, you look to the 7 to change the 9. 7 is bigger than 5, so you round 9 up. Since 9 plus 1 equals 10, the final answer is 1.0.

Hope this helps! :)

5 0

3 years ago

Read 2 more answers

How many halves go into 40

horsena [70]

We divide 40 by 1/2:-

40 / 1/2 = 40 * 2/1 = 80 answer

7 0

3 years ago