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Sergio039 [100]
3 years ago
11

What value of x is in the solution set of 2(3x-1) ≥4x-6​

Mathematics
1 answer:
astra-53 [7]3 years ago
4 0

Answer:

\large\boxed{x\geq-2\to x\in[-2,\ \infty)}

Step-by-step explanation:

2(3x-1)\geq4x-6\qquad\text{use distributive property}\ a(b-c)=ab-ac\\\\(2)(3x)-(2)(1)\geq4x-6\\\\6x-2\geq4x-6\qquad\text{add 2 to both sides}\\\\6x\geq4x-4\qquad\text{subtract 4x from both sides}\\\\2x\geq-4\qquad\text{divide both sides by 2}\\\\x\geq-2

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Alecia walked 3/10 of a mile from school,stopped at the grocery store on the way, then walked another 4/10 of a mile home.Georgi
Nutka1998 [239]

Answer:

Alecia lives farther from school

Step-by-step explanation:

<em>Georgia</em>

we know that

The distance from the school to her home is 67/100 of a mile

\frac{67}{100}=0.67\ miles

<em>Alecia</em>

we know that

The distance from the school to her home is

3/10 of a mile plus 4/10 of a mile

so

\frac{3}{10}+\frac{4}{10}=\frac{7}{10}=0.7\ miles

Compare the distances

0.7\ miles>0.67\ miles

therefore

Alecia lives farther from school

3 0
3 years ago
You can mow one acre in 126 minutes. i can mow one acre in 117 minutes. how long will it take you to mow a 0.17-acre lawn? 13 in
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a) (0.17 ac)×(126 min/ac) = 21.42 min

b) I can mow 1/126 ac/min; you can mow 1/117 ac/min. Together, we can mow at a rate that is the sum of these:

... (1/126 + 1/117) ac/min = (117 + 126)/(126×117) = 243/14,742 ac/min

Then it will take 14,742/243 min/ac × 0.17 ac/lawn ≈ 10.31 min/lawn

5 0
2 years ago
Solve. 2(2z – 4) = 4​
Oxana [17]

Answer:

z = 3

Step-by-step explanation:

1) Divide both sides by 2.

2z - 4 =  \frac{4}{2}

2) Simplify 4/2 to 2.

2z - 4 = 2

3) Add 4 to both sides.

2z = 2 + 4

4) Simplify 2 + 4 to 6.

2z = 6

5) Divide both sides by 2.

z =  \frac{6}{2}

6) Simplify 6/2 to 3.

z = 3

<em><u>therefor</u></em><em><u>,</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>answer</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>z</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>3</u></em><em><u>.</u></em>

4 0
2 years ago
Find the missing side lengths. Leave your answer in simplest radical form
kumpel [21]
X=10 and y=5 so it's the first option
5 0
3 years ago
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Coach Beard has 24 softballs to use this fall. She orders 2 more buckets of softballs that have 20 in each bucket. How many soft
jek_recluse [69]

Answer:

64 softballs

Step-by-step explanation:

Coach Beard currently already has 24 softballs.

When she orders 2 more buckets with 20 in each, that's another 20 + 20 = 40 softballs added to the original 24. So, let's add these two numbers:

24 + 40 = 64

The answer is 64 softballs.

<em>~ an aesthetics lover</em>

3 0
3 years ago
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