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mafiozo [28]
3 years ago
5

4(x-6)<-2x+6 what is the solution to the inequality _

Mathematics
1 answer:
Cloud [144]3 years ago
7 0
Simplify both sides if needed. The left-hand side needs simplification.

4(x - 6) \leq -2x + 6
4x - 24 \leq  -2x + 6

All is left to do is add and subtract to get the x variable all alone.

4x - 24  \leq -2x + 6
6x - 24  \leq  6    <-- Add 2x to both sides
6x         \leq  30  <-- Add 24 to both sides 
x           \leq 5    <-- Divide both sides by 6

In order to be in the solution set, x has to be less than or equal to 5.

In interval notation: [5, -∞)
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At track practice,Sheila worked on the long jump. Her first jump measured 3 yards, 2 feet, 8 inches. Her second jump measured 2
jolli1 [7]
The length is 19.5 feet. this is because when you add the yards, it equals 15 feet. Next, add 1 + 2 feet from the first and second jump. 10+8 inches equal 1.5 feet. Next, add 15 feet+3 feet+1.5 feet to get 19.5 feet.
7 0
3 years ago
Problem #2
marta [7]

Fractions can be converted to decimals and vice versa.

<em>The decimal equivalent  of the fraction of months with 31 days is 0.583</em>

Given:

<em />Total = 12<em> --- months in a year</em>

<em />Months = 7<em> --- months with 31 days</em>

<em />

The fraction (n) of months with 31 days is:

n = \frac{Months}{Total}

So, we have:

n = \frac{7}{12}

The decimal equivalent is:

n = 0.583

Hence, (c) is correct.

Read more about fractions and decimals at:

brainly.com/question/548650

6 0
3 years ago
Jason complete 5/8 of his test and 10/25 of his homework. What fraction of his homework does he still need to complete?
sineoko [7]

Answer:

3/4

Step-by-step explanation:

Because the total homework would be 25/25

\frac{25}{25}-\frac{10}{25} =\frac{15}{25}

15/20 can be reduced to 3/4

4 0
3 years ago
Cesar had a part-time job last year. He worked every week for the year and made $23 an hour. He worked 28 hours each week. Cesar
Naddika [18.5K]

Answer:

D. $2,511

Step-by-step explanation:

First off, we need to write down the facts we know.

There are about 52.177 weeks in a year

Cesar works 28 hours each week

Cesar makes $23 an hour

There are 12 months in a year

Cesar has $3,360 after his monthly expenses

To figure out how many hours are in a "work year," multiply the number of work hours in a week by the number of weeks in a year. In other words, multiply Cesar's 28 hour work week by about 52.177 weeks. That makes 1,456 hours in his work year. That means he makes $33,492 a year. If you multiply $2,511 by the months in a year (12), you get $30132. Finally, subtract his annual salary by $30132 to get $3,360, which is what was left of Cesar's earnings after paying all of his monthly expenses.

5 0
3 years ago
Read 2 more answers
Find the solution for the equation y=4x-3
weqwewe [10]

Answer:

(-4,-19)

Step-by-step explanation:

Substitute the points into the equation and see if it is true

y = 4x-3

-3 = 4(4) -3

-3 = 16-3

-3 = 13  false

-19 = 4(-4) -3

-19 = -16-3

-19 -19   true

8 0
3 years ago
Read 2 more answers
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