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2 months ago

Percentage increase can be found by the following equation:

(new cost / old cost) - 1 = percentage increase

Plug the values in.

(2.80/2.45) - 1 = percentage increase

1.1428 - 1 = 0.1428

Convert the decimal to a percentage.

0.1428 = 14.28%

Rounded to the tenth spot, the percentage increase is**14.3%.**

(new cost / old cost) - 1 = percentage increase

Plug the values in.

(2.80/2.45) - 1 = percentage increase

1.1428 - 1 = 0.1428

Convert the decimal to a percentage.

0.1428 = 14.28%

Rounded to the tenth spot, the percentage increase is

Question

What is an rational number between 9.5 and 9.7 and include decimal approximation to the nearest hundredth

Solution 1

On of the solutions could be 9.65

Question

The sum of a number and two more than twice the number is less than 50 (write in number form and solve)

Solution 1

N+2n+2 < 50

Combine like terms 3n+2< 50

Subtract 2 from both sides 3n<48

Divided both sides by 3

n<16

Combine like terms 3n+2< 50

Subtract 2 from both sides 3n<48

Divided both sides by 3

n<16

Question

A beach club made profits of $39,100 in May and $59,200 in August. What is the rate of change in the average monthly profit for this time period?

Solution 1

6,700 per month subtract 59200 from 39,100=20100

Divide by 3 because thatโs the differences in month

20100 divide by 3 is 6700

Divide by 3 because thatโs the differences in month

20100 divide by 3 is 6700

Question

a rectangular porch has dimentions of (x+12) and (x+5) feet. If thr aria of the porch floor is 120 square feet, what is its length and width?

Solution 1

We have (x+12)ยท(x+5) = 120; where x > 0;

Then, x^2 + 17x + 60 = 120;

x^2 + 17x - 60 = 0;

The solutions are x1 = +3 and x2 = -20;

Then, x = 3 is the correct solution.

Finally, x + 12 = 15 feet (length) and x + 5 = 8 feet (width).

Then, x^2 + 17x + 60 = 120;

x^2 + 17x - 60 = 0;

The solutions are x1 = +3 and x2 = -20;

Then, x = 3 is the correct solution.

Finally, x + 12 = 15 feet (length) and x + 5 = 8 feet (width).

Question

Y=2x-1
3y=6x-5
Please help

Solution 1

I gotchu this time buddy so substitute 2x-1 for the second equation: 3(2x-1)=6x-5

Distribute 3x :6x-3=6x-5

Subtract 6x from both sides

-3=-5 which is not true so the answer is no solution

Distribute 3x :6x-3=6x-5

Subtract 6x from both sides

-3=-5 which is not true so the answer is no solution

Question

The graph of linear equation A passes thru the points (-7,4) and (3,-10), while the graph of linear equation B passes thru the points (-7,4) and (5,11). which of these is a solution to the system of equations consisting of linear equation A and B a. (-7,4)
b. (3,-10)
c. (5,11)
d. (7,4)
show work and i need really bad

Solution 1

We want to find the solution for the** system of linear equations** such that we know some points of the** lines. **We will see that the correct option is A:** (-7, 4).**

When we have a **system of equations** the solutions are the points where the graphs of the equations **intercept**.

Here we know that we have two lines:

- Line A passes through (-7, 4) and (3, - 10)
- Line B passes through (-7, 4) and (5, 11).

So we already can see that both **lines **pass through the point (7, -4), meaning that the lines do **intercept **at that point, so the solution of the **system** is that point (we know that we don't have more solutions because lines __intercept only once__).

So the correct option is A: **(-7, 4)**

If you want to learn more about **systems of equations**, you can read:

Solution 2

Is it A since it passes thru both equations

Question

Student Stars Mazie 7 Chris 4 Jenni -3 Scott 0 Michael 2 Zoe 4 Liza -5 Thomas -1 Benjamin 6 Josie 1 Chase 8 David -4 Students in Mr. Miller's class gain and lose stars for behavior during the day. At the end of the week, any students with a negative star value must stay for detention. According to the chart who must serve detention?

Solution 1

The students with negative star values are Jenni, Liza, Thomas, and David. Therefore, these four students must serve detention.

Question

A cup has 4 pencils, 3 black pens, 1 blue pen, and 5 red pens. What is the probability of selecting a black or blue pen?

Solution 1

The probability of selecting a black or blue pen is 4 out of 13. You calculate this by adding the amount of pens together and comparing it to the total amount of pens and pencils in the cup.

Solution 2

4 out of 13 because in total there are 13 supplies in all and if you add 3 black pens PLUS 1 blue pen that will be 4.

Question

Solve the system of equations for 7x+2y=16 and -21x-6y=24

Solution 1

Simplifying

7x + 2y = 16

Solving

7x + 2y = 16

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.

7x + 2y + -2y = 16 + -2y

Combine like terms: 2y + -2y = 0

7x + 0 = 16 + -2y

7x = 16 + -2y

Divide each side by '7'.

x = 2.285714286 + -0.2857142857y

Simplifying

x = 2.285714286 + -0.2857142857y

7x + 2y = 16

Solving

7x + 2y = 16

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.

7x + 2y + -2y = 16 + -2y

Combine like terms: 2y + -2y = 0

7x + 0 = 16 + -2y

7x = 16 + -2y

Divide each side by '7'.

x = 2.285714286 + -0.2857142857y

Simplifying

x = 2.285714286 + -0.2857142857y

Question

Luther won 12 of the last 20 video games he played. Suppose Luther plays a total of 60 games with his friends over the next month. Predict how many of these games Luther will win.

Solution 1

36 games. 20x3 is 60 and 12x3 is 36

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