MATHEMATICS MIDDLE SCHOOL

If 3x+8=3x+8 is it one solution or no solution

Answers

Answer 1
Answer:

Answer:

infinite solutions

Step-by-step explanation:

3x+8=3x+8

Subtract 3x from each side

3x-3x+8=3x-3x+8

8=8

Since this is always true, we have infinite solutions

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The gas tank of your car is 40% full. There are 8 gallons of gas in the tank. What is the capacity of the gas tank?

Answers

Percentage by which the gas tank of the car is full = 40%
Amount of gas in the gas tank = 8 gallons
Let us assume the capacity of the gas tank = x gallons
Then
40% * x = 8
(40/100) * x = 8
4x/10 = 8
4x = 8 * 10
4x = 80
x = 80/4
   = 20 gallons
So the total capacity of the gas tank of the car is 20 gallons. I hope the procedure is clear to you.

Answer:

20 gallons

Step-by-step explanation:

40/100 = 8/x

40x=800

x=20 gallons

jeordine spreads out a rectangular picnic blanket with an area of 42 square feet. its width is 6 feet. which equation could you use to find its length

Answers

L(which is length) is equal to 42 divided by width which is 6. so the equation is L=42/6

Answer:

L=42/6

Step-by-step explanation:

Three geometric sequences are given below. Sequence A: 160,40,10,2.5,...
Sequence B: -21,63,-189,567,...
Sequence C: 8,12,18,27,....

Order the sequences from least common ratio to the greatest common ratio.

Answers

Answer:

Sequence B, Sequence A, Sequence C

Step-by-step explanation:

Common ratio of a geometric sequence is the ratio of a term and its previous term of the sequence.

Thus, the common ratio of the sequence  A: 160,40,10,2.5,...

r_1=(40)/(160)=(1)/(4)

The common ratio of the sequence B: -21,63,-189,567,...

r_2=(63)/(-21)=-3

The common ratio of the sequence C : 8,12,18,27,....

r_3=(12)/(8)=(3)/(2)

Since, -3 < (1)/(4) < (3)/(2)

Thus,

r_2 < r_1 < r_3

Hence, the order the sequences from least common ratio to the greatest common ratio is,

Sequence B, Sequence A, Sequence C

Answer:

A C B

Step-by-step explanation:

In sequence A. the numbers are being divided by 4.

In sequence B. the numbers are being multiplied by -3

In sequence C. the numbers are being add by 4

So the ratio from least to greatest would be A C B

Find the solutions to the equation by completing the square.x² - 6x = 7
x² - 6x___= 7
(x - ² = ___
x - 3= +/-___
x-3=__and x-3 =__

Answers

Answer:

Step-by-step explanation:

hello :

x² - 6x = 7

x² - 6x+9-9___= 7

(x - 3 )²= __16_

x - 3= +/-_4__

x-3=4__and x-3 =_-4_

1/4 gallon equals how many cups

Answers

 the solution is 4 cups
4 equal cups, hope that this would help you! =)

Metric unit of length

Answers

centimeters are the metric unit of length
centimeters is your answer
have a great day!
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