THIS IS FOR 18 POINTS!!!Ethan bought 3 new baseballs. Bethany has three times as many baseballs as Ethan now has. Let x=the number of baseballs Ethan had before he bought any new ones. Together they now have 44 baseballs.
A. Write an equation to represent the equation.
B. How many did Ethan have before he bought any new ones?

Answers

Answer 1

Answer: The equation is
(X + 3) + (x + 3 ✖️3)=44
Ethan had 12 baseballs.
Steps:
1. You do 44 dived by 3 which is 14.66 repeating
2. You subtract 3
2. You get 11.66 repeating
3. You round up to 12

Answer 2

Answer: 4x+12 . (x=8)

Ethan had 8 baseballs before he bought any new ones.

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Consider the expressions $\frac{4x^3+2x^2+6x+7}{2x+1}$ and $2x^2+3+\frac4{2x+1}.$a) Show that these expressions are equal when $x=10.$

b) Explain why these expressions are not equal when $x=-\dfrac12.$

c) Show that these expressions are equal for all $x$ other than $-\dfrac12.$

In parts (a) and (c), begin by explaining what your strategy for solving will be.

Answers

Part (a) We shall simplify both of them in order to find the solution to the equation.

Once we've done that, we'll see that they have the same equation, so we can match the equation if x=10.

Part (b) When x=-1/2, the answers to the second expression, 2x2, change to -1, and we eventually arrive in 1.

This is why the expressions are not equal at this point.

Part (c) As we can see, the expressions are identical, thus we can demonstrate that they are equal if x is any number other than -1/2.

What is an expression in maths?

An expression is a set of terms combined using the operations +, – , x or , for example 4 x − 3 or x 2 – x y + 17 .
An equation states that two expressions are equal in value, for example 4 b − 2 = 6 .
An identity is a statement that is true no matter what values are chosen, for example 4 a × a 2 = 4 a 3 .

What is a math expression example?

An expression is a set of numbers or variables combined using the operations +, –, × or ÷.
Arithmetic expression that contains only numbers and mathematical operators and algebraic expression that contains variables, numbers and mathematical operators.

How do you find expressions?

To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number.
To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations.

Learn more about expressions here:

brainly.com/question/723406

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Answer:

Part a) In order to solve the equation, we will simplify both of them. Once we do that, if we notice, they are the same equation, so therefore, if x=10, then we will be able to match the equation.

Part b) The reason the expressions are not equal when x=-1/2 is because if we see, that in the second expression, 2x^2, if x=-1/2, then the answer becomes -1, and we eventually end up with 1.

Part c) As we can see, the expressions are the same, so if x is any number other than -1/2, then we will be able to show that the expressions are equal.

Step-by-step explanation:

You can simplify the explanation, also if you play ROBLOX, follow me at my username: BAMUNJI, or 24KBlingYT

By the way, this question is from the Art of Problem Solving, and you should not just copy answers or copy of them.

What is 0.07 rounded to the nearest tenth

Answers

0.1 because the 7 is in the hundredths and 7 is closer to 10 which makes it 0.1 :) good luck

That is 0.1 because 7 rounds up.

Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph. Show your work or explain how you determined the equations.

Answers

The linear function that represents this graph is given by:

y = 300 - 0.6667x.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

From the graph, when x = 0, y = 300, hence the y-intercept is of b = 300. The amount decays to 0 when the x-intercept is of x = 450, hence the slope is given by:

m = -300/450 = -0.6667.

Which means that the equation is:

y = 300 - 0.6667x.

More can be learned about linear functions at brainly.com/question/24808124

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Rachel cut a length of rope 4 and 1/3 meters into two pieces. The length of one piece of rope is 2 and 1/2 meters. what is the length of the second piece of rope

Answers

just do   4 1/3 but first we need to make the fraction'd denominator the same. 6 is     - 2 1/2 the common denominator. so: 4 2/6 =   3 8/6
-------- - 2 3/6 - 2 3/6
   ----------    --------
   1 5/6
1 5/6 meters long
If it is what you wanted please give me brainiest answer!

(4 1/3 m)- (2 1/2 m)= 1 5/6 m.

The length of the second piece of rope is 1 5/6 m~

Luke and Matthew ran a lemonade stand on Saturday. They agreed that Matthew would get 60 percent of the profit because the lemonade stand was his idea. They made a profit of $25.How much money did Matthew make? Please explain!

Answers

In the question it is already mentioned that Matthew would get 60% of the total profit generated from the lemonade stand set up on Saturday. The total profit generated from the Lemonade stand was $25. Luke would get 40% of the profit. Now we can come to the mathematical part for finding the amount of profit generated by Matthew.
60% of $25 = (60/100) * 25
   = (6/10) * 25
   = 150/10
   = 15
So the profit made by Luke is $15. The amount of profit made by Matthew was $10 as the total profit was $25.

60%=0,6
25*0,6=15$ Matthew made

Ms.stoner purchased a new computer for $1,150 at the apple store. If sales tax is 7.5% what was the total of her purchase

Answers

First convert 7.5% into a decimal (.075)
1,150 * .075 = 86.25
1,150 + 86.25 = 1,236.25

Answer:

1,236.25

Step-by-step explanation:

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