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2 years ago

|3y-1|>5 Solve the absolute value inequalities by making a compound inequality

Mathematics

1 answer:

Fantom [35]2 years ago

7 0

Hi there!

We can begin by solving the inequality using the positive and negative terms:

3y - 1 > 5

Add 1 to both sides:

3y > 6

Divide both sides by 3:

y > 2

Now, solve the negative:

-(3y - 1) > 5

Distribute the -1:

-3y + 1 > 5

Subtract 1 from both sides:

-3y > 4

Divide both sides by -3. REMEMBER to flip the sign.

y < -4/3

'y' has to be LESS than -4/3 and greater than 2, so:

y < -4/3, y > 2

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Multple step percent problems

melamori03 [73]

Look it up online because you don't have a question

3 0

2 years ago

A rectangle has a length of 12 yards less than 3 times its width. If the area of the rectangle is 135 square yards, find the len

Aleonysh [2.5K]

Answer:

The length is 15 yards

Step-by-step explanation:

Given

Represent the width with W and length with L: So

$Area = 135yd^2$

$L=3W - 12$

Required

Determine the length of the rectangle:

Area is calculated as thus:

$Area = L * W$

Substitute 3W - 12 for L and 135 for Area

$135= (3W - 12) * W$

$135= 3W^2 - 12W$

Reorder:

$3W^2 - 12W - 135= 0$

Divide through by 3

$W^2 - 4W - 45 = 0$

Expand:

$W^2 - 9W + 5W - 45 = 0$

$W(W - 9) + 5(W - 9) = 0$

$(W + 5)(W-9) = 0$

$W + 5 = 0$ or $W - 9 = 0$

$W = -5$ or $W = 9$

But width can't be negative

So:

$W = 9$

Recall that: $L=3W - 12$

$L = 3 * 9 - 12$

$L = 15$

<em>Hence, the length 15 yards</em>

4 0

2 years ago

Coach Kelly brought 28 L of water to the

Leviafan [203]

Answer:

Step-by-step explanation:

it one times one pllus the 100 blus thewendy

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1 year ago

Alaina needs to sell 225 boxes in order to be the top seller. She sells thin mints and samoas to all of her customers for a tota

Digiron [165]

Answer:

94 boxes of samoas

131 boxes of thin mints

Step-by-step explanation:

m=mints

s=samoas

s+m=225 m=225-s

s(2.5)+m(3)=628

2.5s+3m=628

substitute for m

2.5s+3(225-s)=628

2.5s+675-3s=628

reduce

-0.5s=-47

s=94

m=131

4 0

2 years ago

Convert 7.7km into miles if 1.6 km = 1 mile

Lemur [1.5K]

This is a simple equation.

The equation is y = 1.6x with y being the miles and x being the kilometers.

Lets plug the kilometers in.

Y=1.6(7.7)

1.6 * 7.7 = 12.32

12.32 miles is equal to 7.7 kilometers

HOWEVER

There are about .6 miles in a kilometer, so if you typed this wrong I don't know.

It is still the same concept.

Y = .6x

Y = .6(7.7)

.6 * 7.7 = 4.8

In this case there are 4.8 miles in 7.7 kilometers

3 0

2 years ago