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Vedmedyk [2.9K]
3 years ago
10

Solve the inequality LaTeX: 5x-6\le2+\left(3x-4\right)5 x − 6 ≤ 2 + ( 3 x − 4 ). Express the solution as an inequality.

Mathematics
1 answer:
baherus [9]3 years ago
7 0

Answer:

x ≤ 2

Step-by-step explanation:

Given the inequality :

5 x − 6 ≤ 2 + ( 3 x − 4 )

Open The bracket

5x - 6 ≤ 2 + 3x - 4

Collect like terms

5x - 3x ≤ 2 - 4 + 6

2x ≤ 4

Dibide both sides by 2

2x /2 ≤ 4/ 2

x ≤ 2

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On a trip to a lake, Kerrie and Shelly rode their bicycles four more than three times as many miles in the afternoon as in the m
Natalija [7]

Answer:

27 miles in the morning and 85 miles in the afternoon.

Explanation:

Let m be the number of miles they rode in the morning.  They rode 4 more than 3 times this many in the afternoon; this gives us the expression

3m+4

to represent the miles ridden in the afternoon.

Together they rode 112 miles; this means we add the morning miles, m, to the afternoon miles, 3m+4, and get 112:

m+3m+4 = 112

Combine like terms:

4m+4 = 112

Subtract 4 from each side:

4m+4-4= 112-4

4m = 108

Divide both sides by 4:

4m/4 = 108/4

m = 27

They rode 27 miles in the morning.

That means in the afternoon, they rode

3m+4 = 3(27)+4 = 81+4 = 85 miles.

5 0
3 years ago
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What is the conjugate?
nata0808 [166]
A conjuate is real numbers like the conjuate of x and y would be a real number
7 0
3 years ago
In 1960, the population of a town was 14 thousand people. Over the course of the next 50 years, the town grew at a rate of 30 pe
andre [41]

SOLUTIONS

Given: Assume y is the population

\begin{gathered} t=0=1960,y=14030 \\ t=1=1961,y=14060 \\ so\text{ b = 14000} \\ so\text{ k = 30} \end{gathered}

The town grow at the rate of 30 people per year.

y=kt+14000y=30t+14000

(A) The population predicted to be in 2030 will be

\begin{gathered} 2030-1960=70 \\ y=30k+14000 \\ y=30(70)+14000 \\ y=2100+14000 \\ y=16100people \end{gathered}

(B) so when y = 15000, find t

\begin{gathered} y=15000 \\ y=30t+14000 \\ 15000=30t+14000 \\ 15000-14000=30t \\ 1000=30t \\ t=\frac{1000}{30} \\ t\approx33 \\ t=1960+33 \\ t=1993 \end{gathered}

3 0
9 months ago
10 x 200 is how many tens
melisa1 [442]
10 x 200 is 2000
therefore there are 200 tens .
7 0
3 years ago
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8. Solve the measurement conversion problem. 8 ounces=1cup. Multiply 24x4 then convert to cups
taurus [48]
I believe the answer is D

Because 24x4 is 96
3 0
2 years ago
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