What is the solution to the equation 3x-5=2x+8+x?A) identity ( many solutions)
b) no solution
c) x=0
d) x=2

Answers

Answer 1

Answer: So when solving this you are going to have to solve the equation.
Okay so first thing we need to do is simplify both sides of your equation so:
3x−5=2x+8+x
Simplifying process:
3x+−5=2x+8+x
Combine Like Terms ⇒ 3x−5=(2x+x)+(8)
3x−5=3x+8
3x−5=3x+8
Second thing we are now going to do is subtract 3x from both sides so:
3x−5−3x=3x+8−3x
−5=8
Final step is to add 5 to both sides:
−5+5=8+5
0=13
The answer to your question is "There are no solutions"

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A balloon is 30 yards above the ground. It starts to float upwards, and the altitude increases at a rate of 5 yards per minute. Enter the altitude, in yards, of the balloon after 20 minutes.

Find the product.

x 3(x 2 + 5x + 1)

Answers

The required product of expression x³(x² + 5x + 1) is x⁵ + 5x⁴ + x³.

What is the distributive property of a product?

The distributive property of multiplication (also known as the distributive property of product over addition) is a fundamental property of arithmetic that helps simplifyexpressions involving multiplication and addition. It states that for any three numbers a, b, and c:

a * (b + c) = a * b + a * c

Here,
We can use the distributive property of multiplication to expand the product:

x³(x² + 5x + 1) = x³x² + x³5x + x³*1

Simplifying each term, we get:

x³x² = x³⁺² = x⁵

x³5x = 5x¹⁺3 = 5x⁴

x³*1 = x³

Setting it all together, we have:

x³(x² + 5x + 1) = x⁵ + 5x⁴ + x³

Therefore, the product is x⁵ + 5x⁴ + x³.

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x ((3x*6)+15x+3)
x (18x+15x+3)
x(33x+3)
(33x^2)+3x

A grocery store manager uses 1/2 crate of apples for every 3/4 crate if oranges in a fruit display. How many crates of oranges will she need if she uses 2 1/2 crates of apples?

Answers

Answer:

15/4

Step-by-step explanation:

This is a proportion question

It says 1/2 crates of apple are used for every 3/4 crates of oranges

For 5/2 crates of apple, x crates of oranges will be needed.

To get x, we simply multiply 1/2 by x and equate it to 3/4 multiplied by 5/2

This means: 0.5x = 0.75 × 2.5

x = ( 0.75 × 2.5 ) ÷ 0.5 = 3.75

Hence for 5/2 crates for apple, she will need 15/4 crates of oranges.

Answer:

Step-by-step explanation:

You would first make a proportion.

.5/.75 = 2.5/x

So, .5x = 1.875

x = 15/4

You randomly choose a marble from a jar. The jar contains 4 red marbles, 10 blue marbles, 7 green marbles, and 6 yellow marbles. Find the probability of the event. Not choosing a blue marble.

Answers

The probability of not choosing a blue marble is 17/27.

What is probability?

Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.

For the given situation,

Number of red marbles = 4

Number of blue marbles = 10

Number of green marbles = 7

Number of yellow marbles = 6

The event is the probability of not choosing a blue marble is

⇒ $(red+green+yellow)/(Total marbles)$

⇒ $(4+7+6)/(27)$

⇒ $(17)/(27)$

Hence we can conclude that the the probability of not choosing a blue marble is 17/27.

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Answer:

17/27

Step-by-step explanation:

Since there are 10 blue marbles, and 27 total marbles, the probability of not choosing a blue marble is 17/27 because you subtract the amount of blue marbles (10) from the amount of total marbles (27).

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