MATHEMATICS HIGH SCHOOL

In the past you paid $800 per month to rent your apartment. You now pay $900 per month for your rent. What is the percent increase in your rent?

Answers

Answer 1

Answer:

Answer:

Percent increase in rent is 12.5%

Step-by-step explanation:

Given:

In past the rent you paid $800 per month to rent your apartment.

i.e, Original rent paid = $ 800

You now pay $900 per month for your rent.

i.e New rent paid = $900

Increase in the rent is= New rent - Original rent= $900 -$800 =$100.

To find the percent increase in rent.

Percent increase is equal to Divide the increase by the original number and multiply the answer by 100.

i.e,

$Percent Increase = (Increase in rent)/(Original rent ) * 100$

then;

$Percent Increase = (\$ 100)/(\$ 800) * 100$

Simplify:

$Percent Increase = 12.5\%$

therefore, the percent increase in your rent is 12.5%

Answer 2

Answer: 12.5% the difference is $100 write a proportion, 100 = x800 100 differencece = xoriginal 100

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What polynomial identity should be used to prove that 16^2=(10+6)^2? (A. Difference of Cubes; B. Difference of Squares; C. Square of Binomial; D. Sum of Cubes)

Answers

Answer:

C. Square of Binomial

Step-by-step explanation:

To prove the identity you should use square of Binomial that states the following:

$(a+b)^(2)=a^(2)+2ab+b^(2)$

Lets prove it, so first take the equation to solve:

$(10+6)^(2)$

Then square the first term:

$(10+6)^(2)=10^(2)$

Then multiply by 2 the first and second terms:

$(10+6)^(2)=10^(2)+2(10)(6)$

Finally square the second term:

$(10+6)^(2)=10^(2)+2(10)(6)+6^(2)$

Solve the values:

$(10+6)^(2)=100+2(10)(6)+6^(2)$

$(10+6)^(2)=100+120+6^(2)$

$(10+6)^(2)=100+120+36$

$(10+6)^(2)=256$

And prove the polynomial identity:

$16^(2)=256$

not difference of cubes since it is 2nd degree
not difference of squares since it is plus
not sum of cubes because 2nd degreee

answer is square of binomial (why do we even need this property, oh well)

C

Luke takes a sheet of paper and cuts from one corner to the opposite corner, making two triangles. If the piece of paper is 16 inches long and 12 inches wide, how long is the dagonal cut that Luke made? Make sure to show your work and explain ypur answer.

Answers

You need to apply the Pythagoras theorem, which is a squared + b squared is c squared. C squared in this formula is the hypotenuse squared. The hypotenuse is the longest side of a triangle, opposite the largest angle of the triangle. Keep in mind that the Pythagoras theorem only applies to right angle triangles.

In this question c squared is the diagonal you are trying to figure out.

A squared is any side of the triangle other than c squared, and b squared is the other side of the triangle. So a squared is 16 inches squared, and b squared is 12 inches squared.

To work this out, we square 16 to give 256.

Then 12 is squared - 144.

Then we square root 256 + 144, or the square root of 400.

The square root of 400 is 20, so the diagonal Luke cut was 20 inches long.

Final answer:

The length of the diagonal cut is calculated using the Pythagorean theorem. The sides of the paper form two sides of a right-angled triangle, and by squaring and adding these lengths, then taking the square root of the result, we find that the hypotenuse, or diagonal, is 20 inches long.

Explanation:

In mathematics, particularly in geometry, the Pythagorean theorem is the fundamental principle used to calculate the length of the hypotenuse in a right-angled triangle. In this question, the sheet of paper can be considered a rectangle and when it is cut from one corner to the opposite corner, it forms two right-angled triangles.

The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as: a² + b² = c²

Here, the length and width of the paper represent the two sides of the triangle, 16 inches and 12 inches respectively, and the diagonal cut (we'll call it 'd') is the hypotenuse. Thus, the equation becomes:

12² (which equals 144) + 16² (which equals 256) equals d²

Adding 144 and 256 gives 400, so d² = 400. To find 'd', we take the square root of 400, which is 20.

So, the length of the diagonal cut that Luke made is 20 inches.

Learn more about Pythagorean theorem here:

brainly.com/question/28361847

#SPJ3

Need help ASAP!!! Will mark brainliest

Answers

A=148°

B=148°

Step-by-step explanation:

180-38=148°

because A and B are equal, they're both 148°

Amy ran 3/4 mile write the distance amy ran as a decimal

Answers

we just need to perform the indicated division:
3/4 = 0.75
that is the solution as decimal, they are equivalent

Solutions

To convert fraction to decimal divide the numerator by denominator.

3 ÷ 4 = 0.75

0.75 is decimal

Greg and Josh want to go whitewater rafting in 3 weeks. Josh is able to save the $480 he needs to go on the trip by saving the pay he received for 5 hours of work each week. Greg must save 8 hours worth of pay each week in order to have enough money. How much more money does Josh make than Greg? a.

$10

b.

$12

c.

$14

d.

$20

Answers

We will find the rate of Greg and Josh earning money that is the amount of money they receive per unit time (hour)

Since the trip is in 3 weeks,

Number of hours Josh worked = 3 weeks * (5 hours/week) = 15 hours

Number of hours Greg worked = 3 weeks * (8 hours/week) = 24 hours

Josh’s rate = $480/15 hrs = $32/hr

Greg’s rate = $480/24 hrs = $20/hr

Therefore

Josh makes $12/hr more than Greg

Answer:

IT IS B

Step-by-step explanation:

The price of an item increased by 25%. If the price of the item after the increase is $2, find the original price.a) $1.50, b) $1.60, c) $1.75, d) $2.50, e) $3.20

Answers

25 % = 25/100 = 0.25

x ⇒ original price

$x + 0.25x = 2 \n 1.25x = 2 \n x = 2/1.25 \n x = 1.6$

The original price was $1.6

$x+0.25x=2\n 1.25x=2\n x=\$1.6\Rightarrow B$

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