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3 years ago

−6x + 14 < −28 OR 9x + 15 ≤ −12. solve for x.

Mathematics

1 answer:

sasho [114]3 years ago

4 0

Answer:

x>7 or x ≤ -3

Step-by-step explanation:

Solving the 1st inequality

-6x +14 < -28 --------------- (Collect like terms)

-6x < -28 - 14

-6x < - 42 -------------------- (Divide both sides by -6)

Note: If you decide an inequality expression by a negative value, the inequality sign changes)

-6x/-6 > -42/-6

x > 7

Solving the 2nd inequality

9x + 15 ≤ −12 ----------- (Collect like terms)

9x ≤ −12 - 15

9x ≤ −27 ------------------(Divide both sides by 9)

9x/9 ≤ −27/9

x ≤ -3

Bring both results together, we get

x>7 or x ≤ -3

The final result is complex (i.e. can't be combined together).

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Sam earns $912 each week working his full time job. His employer has a 13.6% tax deduction on all monies earned each week. Calcu

Sveta_85 [38]

Sam paid $ 124.032 as tax deduction each week.

<h3>What is an Equation ?</h3>

An equation is a mathematical statement formed when an algebraic expression is equated by an equal sign by a constant or algebraic expression.

It is given that

weekly earnings of Sam is $912

Tax deduction is 13.6 %

Let the amount of Tax deduction is represented by $x

Then the equation formed is

x = 13.6 % 912

x = 13.6 *912 /100

x = $ 124.032

Therefore Sam paid $ 124.032 as tax deduction each week.

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2 years ago

What is the area?<br> (20 points)

Leto [7]

6x5=30/2=(15)
2x3=6
15-6=11
11 is the answer

5 0

2 years ago

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Cody must complete 125 credit hours of instruction. If he has completed 60% of his requirement, how many credits did Cody comple

umka2103 [35]

You must figure out what is 60% of 125

to find the answer all you need to do is multiply 125 by 0.6

Cody completed 75 hours

i hope this helps!!

6 0

3 years ago

in a plantation,there are 230 trees in a row. There are at least 3 papaya trees between any 2 rambutan trees. What is the larges

Zinaida [17]

Answer:

Step-by-step explanation:

The total number of trees in a row that starts and ends with a rambutan tree is ...

4n -3 . . . . for n rambutan trees

So, the number of rambutan trees that there can be in a row of 230 trees is ...

4n -3 ≤ 230

4n ≤ 233

n ≤ 233/4 = 58 1/4

The largest possible number of rambutan trees in a row of 230 trees is 58.

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1 rambutan tree: R . . . n=1, tree count = 1

2 rambutan trees: RpppR . . . n=2, tree count = 5

3 rambutan trees: RpppRpppR . . . n=3, tree count = 9

The tree count is an arithmetic sequence with first term 1 and common difference 4. Then the n-th term of the sequence is ...

tn = a1 +d(n -1) = 1 +4(n -1) = 4n -3

Term 58 is ...

t58 = 4·58 -3 = 229

So, the row of trees might be ...

RpppRppp ... RpppRpppRp . . . . with 58 R and 172 p.

7 0

3 years ago

A producer of felt-tip pens has received a forecast of demand of 31,000 pens for the coming month from its marketing department.

Mila [183]

Answer:

6945 is the break-even quantity if pen sells for $4 each.

Step-by-step explanation:

We are given the following in the question:

Demand of pens = 31,000

Fixed cost = $25,000 per month

Variable cost per pen = 40 cents = $0.4

Selling price of each pen = $4

Let q be the break even quantity,

Then we can write:

$\text{Selling price}(q) = \text{Fixrd cost} + \text{Variable cost}(q)$

Putting values, we get,

$4q = 25000 + 0.4q\\(4-0.4)q = 25000\\3.6q = 25000\\q = 6944.44 \approx 6945$

Thus, 6945 is the break-even quantity if pen sells for $4 each.

5 0

3 years ago

Read 2 more answers