MATHEMATICS MIDDLE SCHOOL

6.7x = 5.2x + 12.3
How to solve

Answers

Answer 1
Answer:

Answer:

x = 8.2

Step-by-step explanation:

Given

6.7x = 5.2x + 12.3 ( subtract 5.2x from both sides )

1.5x = 12.3 ( divide both sides by 1.5 )

x = 8.2
Answer 2
Answer:

Answer:

8.2

Step-by-step explanation:

you cansolveitbychangingittostandardform

Thus,67×10^-1x=52×10^-1x+123×10^-1

group like terms.

67×10^-1x-52×10^-1x=123×10^-1

15×10^-1x=123×10^-1

dividethroughby15×10^-1

X=123×10^-1/15×10^-1

X=41/5

X=8.2

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Pat has a 10-centimeter length of string she is going to use to measure a small square table. The side length she measures is 5 strings. What are the dimensions of the table? A) what is the area of the table?

B) is that as large as a square meter? Explain

Answers

5 strings means 5 times the lenth of the string, or 5*10cm which is 50 cm.

So the area of the table (which is square) is 50*50=2500cm². or 0.25m²

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15 liters increased by 60℅

Answers

To increase by 60%, you need to multiply the original 15 liters by 1.6. The 1 incorporates the original 15 liters and the 0.6 equals the amount gained.
15×1.6=24 liters (total)
15×0.6=9 liters (amount gained)

What is the factorization of : -2/18f + 2/42

Answers

-(2)/(18)f +(2)/(42) =\boxed{\bf{-2\left((1)/(9)f-(1)/(21)\right)}}

Suppose the foot of a 12-foot ladder was placed 4 feet from a building how high up on the building would the top of the ladder reach

Answers

Use the pythagorean theorem.

The foot of the ladder is 4 feet away from the building (leg 1)

The height of the building is leg 2

The ladder, which would be at an angle, is 12 feet. So our hypotenuse would be 12. The equation for this would be a²+4²=12²

We can then begin to solve

a² + 16 = 144  

a² = 128

a=11.31

So, our answer is: The top of the ladder reaches the building at 11.31 feet up

What are skew lines

Answers

Answer: Skew lines are two lines that do not intersect and are not parallel. A simple example of a pair of skew lines is the pair of lines through opposite edges of a regular tetrahedron.
Skew lines are lines that do not intersect and that are not parallel

Multiply. Write in simplest form. Identify the two whole numbers between which the product lies5 x 6/8 and 2 x 9/10

Answers

We have to multiply those numbers and to write it in the simplest form: 5 * 6/8 = 5 * 3/4 = 15/4 = 3 3/4. Another product is: 2 * 9/10 = 18/10 = 9/5 = 1 4/5. Then we will identify the 2 whole numbers between the product lies. Answer: For 15/4 ( equal to 3 3/4 ) those numbers are 3 and 4. For 9/5 (equal to 1 4/5 ) those numbers are 1 and 2.
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