3 1/3 - 2 2/5 what is the answer?

Answers

Answer 1

Answer: One way to solve this is by changing the mixed numbers to improper functions.
3 1/3 = 10/3
2 2/5 = 12/5

The next step I would take is to find a common denominator.
10/3 = 50/15
12/5 = 36/15

Now we can solve the original equation:
50/15 - 36/15 = 14/15

Since 14/15 is already simplified this is your final answer.

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Square EFGH stretches vertically by a factor of 2.5 to create square E′F′G′H′. The square stretches with respect to the x-axis. If point H is located at (-2, 0), what are the coordinates of H?A.(-5, 0)
B.(-2, 0)
C.(0.5, 0)
D.(-2, 2.5)

Answers

Square EFGH stretches vertically by a factor of 2.5 to create square E′F′G′H′. The square stretches with respect to the x-axis. If point H is located at (-2, 0), the coordinates of H will be at point "D.(-2, 2.5)." Since it stretches vertically, it assumed that it stretches all parallel with the y axis.

Answer with explanation:

Pre -image= Square E F G H

Image=Square E′F′G′H′

Vertical Stretch Factor= 2.5

Coordinates of Point H= (-2,0)

If, (x,y), is the coordinate of any point, and , m is vertical stretch factor,then coordinate of Image =(x, my)

→Here, Vertical stretch, factor is 2.5,and coordinates of H=(-2,0) then Coordinates of H' will be =(-2, 0×2.5)=(-2,0)

Option B: (-2,0)

6x + 1 = -6(1-x) please show work i need what is x

Answers

Answer:

Step-by-step explanation:

6x+1=-6(1-x)

6x+1=-6+6x

6x+7=6x

7=0

no solution

If a gas tank can hold 30 gallons, how many gallons does it contain when it is three-fifths full?

Answers

The gas tank contains 18 gallons when the gas tank is three-fifths full.

We are given that,

A gastank can hold 30 gallons.

We need to find how many gallons it contains when it is three-fifthsfull.

What is a fraction?

A fraction has two parts :

- Numerator

- Denominator.

The numerator is the number of required parts from the total number of parts in the denominator.

We have,

"A gas tank can hold 30 gallons"

This means that when the gas tank is full it can hold 30 gallons.

We can write it as,

Full tank = 30 gallons ----------------(A)

Since we need to find three-fifths full, we need to multiply 3/5 in (A).

We have,

3/5 x full tank = 3/5 x 30 gallons

3/5 full tank = 3 x 6 gallons

3/5 fulltank = 18 gallons.

Thus the gas tank can hold 18 gallons when the gas tank is three-fifths full.

Learn more about fraction word problems here:

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3/5 of 30 is 90/5
3/5 of 30 is 18

so when it is 3/5 full then it has 18 gallons

Solve using the addition and multiplication principles. 8x-6<=34

Answers

Answer: x ≤ 5

Step-by-step explanation:

Our task is to solve the following inequality:

$\sf{8x-6\leq34}$

Remember that in every equation and inequality, we need to isolate x. To isolate x, we need to follow these steps:

add 6 to each side
divide each side by 8

--------------

step one

--------------

Add 6 to both sides:

$\sf{8x\leq40}$

--------------

step two

--------------

Divide both sides by 8:

$\sf{x\leq5}$ {answer}. You're done! ^^'

Final answer:

To solve the inequality 8x - 6 <= 34 using the addition and multiplication principles, follow these steps: add 6 to both sides, then divide both sides by 8. The solution is x <= 5.

Explanation:

To solve the inequality 8x - 6 <= 34 using the addition and multiplication principles, you need to isolate the variable x. Here are the steps:

Add 6 to both sides of the inequality: 8x - 6 + 6 <= 34 + 6 → 8x <= 40
Divide both sides of the inequality by 8: 8x/8 <= 40/8 → x <= 5

Therefore, the solution to the inequality is x <= 5.

Learn more about Inequalities here:

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Which of the following expresses the number ofmeters a contestant must travel in a 3-lap race where
the course is a circle of radius R meters?
F. 3R
G. 3πR
H. 3πR^2
J. 6R
K. 6πR

Answers

$1\ lap\to2\pi R\n\n3\ lap\to3\cdot2\pi R=6\pi R\n\nAnswer:K.$

For which equation x=5 be a solution ?a. 3 x +6=21
b. 12 - 2 x =13
c. 7+6 x+27
d. 4 x - 7=27

Answers

The correct answer is A. 3x+6=21

Answer:

a) 15+6 =21

Step-by-step explanation:

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