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3 years ago

What is the solution to this inequality: -4(3x-5)<2(3x+4)

Mathematics

1 answer:

Delicious77 [7]3 years ago

7 0

Answer:

x > 2/3

Step-by-step explanation:

-4(3x - 5) < 2(3x + 4)

Divide both sides by 2.

-2(3x - 5) < 3x + 4

Distribute on the left side.

-6x + 10 < 3x + 4

Subtract 3x from both sides.

-9x + 10 < 4

Subtract 10 from both sides.

-9x < - 6

Divide both sides by -9. Remember that when you divide both sides of an inequality by a negative number, the inequality sign changes direction.

x > (-6)/(-9)

x > 6/9

x > 2/3

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Harman [31]

Answer:

44.95

Step-by-step explanation:

$\sqrt{27} \times \sqrt{75 } \\ = 5.19 \times 8.66 \\ 44.9454$

Two decimal places = 44.95

5 0

3 years ago

What is 45=m(25)+b solving for m

STatiana [176]

Answer:

$\frac{45-b}{25}$

Step-by-step explanation:

given

45 = 25m + b ( isolate the term in m by subtracting b from both sides )

45 - b = 25m ← divide both sides by 25

$\frac{45-b}{25}$ = m

7 0

3 years ago

If a phone card is used to make a long distance phone call, you are charged $0.50 per call plus an additional $0.31 per minute.

Nikitich [7]

Part A: c for cost. c=0.31m+0.5

0.31m is the cost per minute. 0.5 is cost per call.

Part B: 0.31m+0.5=5.15 to solve we must rearrange.

subtract 0.5 from each side giving us 0.31m=4.85

divide by 0.31 giving us m=15.65

7 0

3 years ago

The scale of a map is 5 mm = 2 feet. What is the map distance if the actual distance is 50 feet. BE SURE TO LABEL!

Vikentia [17]

It would probably be 20 feet if I’m not wrong

7 0

3 years ago

Read 2 more answers

In a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b, what i

Inessa05 [86]

To solve this problem you must apply the proccedure shown below:

1. You need to apply the Pythagorean Theorem:

$c^{2}=b^{2}+a^{2}$

Where c is the hypotenuse and the legs are a and b.

2. Now, you must substitute the values given in the problem above and solve for b:

$(2b)^{2}=b^{2}+12^{2}\\4b^{2}=b^{2}+144\\4b^{2}-b^{2}=144\\3b^{2}=144\\b=\sqrt{\frac{144}{3}}\\b=6.92$

Therefore, the answer is: The value of b is 6.92

7 0

3 years ago

Read 2 more answers

What is the solution to this inequality: -4(3x-5)<2(3x+4)​

What is the solution to this inequality: -4(3x-5)<2(3x+4)