Does 2/3x+3/4=8 and 8x=87 have the same solution ?

Answers

Answer 1

Answer: (2/3)x + (3/4) = 8
-(3/4) -(3/4)

(2/3)x = 7.25(3/2)
(3/2)

x = 10.875

8x = 87 Divide both sides by 8

x = 10.875

So yes both sides have the same solution

Hope this helps :)

Answer 2

Answer: yes it does as far as i can see

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Use the given graph to determine the limit, if it exists. A coordinate graph is shown with a horizontal line crossing the y axis at three that ends at the open point 2, 3, a closed point at 2, 1, and another horizontal line starting at the open point 2, -2.

Find limit as x approaches two from the left of f of x. and limit as x approaches two from the right of f of x..

Answers

The limit is the value of the function when you approach the closest possible to the x value without getting to that x value.

The closed point (2,1) is not used to calculate the limit. The closed point (2,1) represents the value of the function at x = 1, but the limit is not the value of the function.

Use the horizontal line that comes from the left and ends at the open point (2,3) to find the limit of f(x) when x approaches to 2 from the left.

That limit is 3, because you can get as close as you want to 3 when you approach x = 2 from the left.

Use the horizontal line that starts at the open point (2-2) and goes to the right, to find the limit of f(x) when x approached to 2 from the right.

That limit is -2 because you can get as close to -2 when you approach x = 2 from the right.

It is important that you know that the definition of limits do not include the value of the function at the point where you want to state the limit.

This result, limit of f(x) when x approaches 2 from the left = 3 and limit of f(x) when x approaches 2 from the right = -2, means that the limit of the function when x approaches 2 does not exist.

The limit exists if and only if the two lateral limits exists and are equal.

Translating word problems to algebraic expressions:

One number exceeds another by 24. The sum of the numbers is 58. What are the numbers?

Answers

The equation is x+24+x=58, so you subtract 24 from 58 and get 34 then add the x's and get 2x=34 or x=17

Soccer balls go on sale for $7.50 each. The store also sells footballs and the manager wants to earn a daily profit of $400 from both items. The equation y=-4x^2+80x-150 models the store’s daily profit, y, for selling footballs at x dollars. Explain how to find the price per football needed to meet the goal.

Answers

Answer:

The price for footballs is $5.46 and $14.54.

Step-by-step explanation:

Using the information that we have about the soccer ball prices, we can find out their daily profit to see how much the footballs daily profit should be. Plugging in 7.50 into the equation, we get 232.5 as their daily profit. To find what the footballs daily profit should be, we must minus 232.5 from 400. This ends up with 167.5

Now to find the price of the footballs, we must plug 167.5 into the equation and use the quadratic formula to find the prices.

Hope this helps : )

Answer:

At $7.50 per soccer ball, they earn a daily profit of $232.50.

The store needs to earn a daily profit of $400 – $232.50 = $167.50 from footballs.

Solve 167.50 = –4x2 + 80x – 150 to find the price for footballs: x = $5.46 and $14.54.

Samuel earns $50.75 each week by working at a part-time job. He works the same amount of time each day for 5 weeks. What is the total amount of money Samuel earns during the 5-week period?

Answers

Answer:

$253.75

Step-by-step explanation:

He earns $50.75/week. Do 50.75 x 5 = $253.75

What is the solution to the system of equations graphed below? y = x - 2 y = 4x - 5

Answers

There are 3 available methods - Substitution , Elimination and Matrix.

The substitution method is used to eliminate one of the variables by replacement.

The elimination method is used for solving linear systems.

A Matrix is an array of numbers.

Lets use Substitution to solve this system.

$x-2=4x-5$

$-2=4x-5-x$

$-2=(4x-x)-5$

$-2=3x-5$

$-2+5=3x$

$3=3x$

$3=3x / 3$

$x=1$

Now substitute $x=1$

$y=x-2$

$y=1-2$

$y=-1$

Hence - $x=1 y=-1$

Answer:

1, -1

Step-by-step explanation:

A spinner is divide into 10 equal sections numbered from 1 to 10. You SPIN the spinner once. What is P(5)? A.)1/3
B.)1/2
C.)1/10
D.)1/4

Answers

The probability of spinning a 5 would be C. 1/10. Since none of the numbers repeat, you have an equal chance at spinning any of the numbers... 1/10.

Answer: B: P(not 1)= 10%

Step-by-step explanation:

i put C and it was wrong. showed me B is correct

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A group of campers hiked for 5 3/4 hours today and 6 3/4 hours yesterday. How many hours did they hike in all?