Solve the inequality. Write your final answer in interval notation.
5x + 2 > 7x - 1

Answers

Answer 1
Answer:

Hello there!

In this scenario, we are solving the inequality.

What this means is that we would need to get x on one side in order to figure out what x is.

Solve:

5x + 2 > 7x - 1

Subtract 7x from both sides

-2x + 2 > -1

Subtract 2 on both sides

-2x > -3

Divide both sides by -2. Flip the inequality since you're dividing by a negative

x < 3/2

In interval notation it would be:

( -∞ , 3/2) or ( -∞ , 1.5)

Answer: x < 3/2 or x < 1.5

Interval notation: ( -∞ , 1.5) or ( -∞ , 1.5)

I hope this helps!

Best regards,

MasterInvestor

Answer 2
Answer:

Answer:

x = 1.5

Step-by-step explanation:

5x + 2 > 7x - 1

5x -7x = -1 -2 (move the terms to the same side, but change the sign on the term being transferred)

-2x = -3 (divide by -2 on both sides)

x = 1.5


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A 48 fluid ounce container orange juice cost $2.40. 60 fluid ounce container of orange juice cost $3.60. Which is the better buy?

Answers

48 fluid ounce it is $0.40 per fl oz, while the other one is $0.60 per fl oz

A brick measures 30 cm × 10 cm × 7 1/2. How many bricks will be required for a wall 30 m long. 2 m high and 3/4 m thick?

Answers

Final answer:

Given the dimensions of the brick, we first calculated its volume in cubic meters. Then we calculated the volume of the wall in cubic meters. Dividing the volume of the wall by the volume of a single brick, we find that we need 20,000 bricks to build the wall.

Explanation:

This is a problem in Mathematics, specifically involving volume and unit conversion. The volume of the brick can be calculated using the formula for the volume of a rectangular prism, Volume = length x width x height. The dimensions given for the brick are in centimeters and the wall dimensions are given in meters. Therefore, we must convert the brick dimensions to meters: 30 cm = 0.3 m, 10 cm = 0.1 m and 7.5 cm = 0.075 m. The volume of one brick is 0.3 m * 0.1 m * 0.075 m = 0.00225 cubic meters.

The volume of the wall is also given by the formula length x width x height, so it is 30 m * 2 m * 0.75 m = 45 cubic meters. To find the number of bricks required to fill this volume, divide the volume of the wall by the volume of a single brick, 45 m³ / 0.00225 m³ = 20000 bricks. Thus, it will take 20,000 bricks to build the wall.

Learn more about Volume Calculation here:

brainly.com/question/33318354

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Answer:

the answer is 45

Step-by-step explanation:

all you have to do is multiply 30*2*3/4

to get 45

How can greatest common factors and least common multiples help you work with fractions ?

Answers

They help you by helping to find equivalent fractions. ;-)

Whats the answer to the problem ?

Answers

Answer:

could you give what the problem is



Step-by-step explanation:


4/9x + 1/5x=58 i need help solving this equation

Answers

So first let’s combine like terms and add 4/9x and 1/5x together to get 29/45x =58. Next, multiply 58 by 45/29 to isolate x, so x=90

Jenny wants to buy cereal that comes in large and small boxes. the 32-ounce box costs $4.16, and the 14-ounce box costs $2.38. Which box is less expensive per ounce?

Answers

The large box is less expensive per ounce.  
  

               large box             small box
cost             4.16                    2.38
content        32oz                   14oz

cost/oz       0.13                      0.17
                 *4.16/32                *2.38/14

The large box is less expensive than the small box. The large box is cheaper by 0.04 per ounce.
The 32-ounce would because of the unit price. The unit price of the 32-ounce box is $0.1300. The unit price of the 14-ounce box is $0.1700. I hope this answer helps you out! :)