MATHEMATICS HIGH SCHOOL

Estelle is having her birthday party at Gold Frames Art Museum this year. A party package costs $265 and covers the entrance fee for guests, a private party room, and an activity guide. Estelle upgraded her package to include a favor for each of her 8 guests, bringing the total to $305.Use an equation to find the amount of each kind of bean Ian uses in the soup.
To write a fraction, use a slash (/) to separate the numerator and denominator.

Answers

Answer 1

Answer:

Answer:

Using proportions, it is found that the cost of each of the favors is of $5.

Proportions:

This question is solved by proportions, using a rule of three.

The addition of 8 favors increase the cost of the party by $40. What is the cost of one favor?

The rule of three is:

8 favors - $40

1 favor - $x

Applying cross multiplication:

8x=40

x=40/8

x=5

The cost of each of the favors is of $5.

To learn more about proportions, you can take a look at brainly.com/question/24372153

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What is the value of x? Round your answer to the nearest tenth if necessary.14.3

Right triangle whose two legs measure fourteen and x, and whose hypotenuse measures twenty

Answers

By the Pythagorean Theorem, x^2+14^2=20^2, so x^2+196=400, so x^2=204. Then, x=sqrt(204)~=14.3.

Megan borrowed $50,000 at 5% simple interest for 6 years. joseph borrowed $60,000 at 4% simple interest for 8 years. using the formula who will have a greater monthly payment, m, and by how much?

Answers

Answer:

Megan will pay $78 more than Joseph.

Step-by-step explanation:

Formula: Simple Interest = P x R x T

Megan Info

Borrowed Money (P)=$50,000
Rate of interest (r)=0.05
Time (t) = 6 years

Simple interest paid by Megan = 50,000 x 0.05 x 6 = 15000

Total amount paid in 6 years = 50000 + 15000 = $65,000

Monthly payment by Megan (m) = 65000÷72 = $903

Joseph Info

Borrowed Money (P)=$60,000
Rate of interest (r)=0.04
Time (t) = 8 years

Simple interest paid by Magan = 60,000 x 0.04 x 8 = 19200

Total amount paid in 8 years = 60000 + 19200 = $79,200

Monthly payment by Joseph (m) = 79200÷96 = $825

Now we find Difference of monthly payment

⇒Megan - Joseph

⇒ 903-825

⇒ $78

Thus, Megan will pay $78 more than Joseph.

Answer:

Megan will pay approximately $78 more per month.

Step-by-step explanation:

1. -(p - 5) = -5 - 7(p + 2)
2.7(r - 8) = -2(r + 1)

Answers

Answer:

1. p = -4

2. r = 6

Step-by-stepexplanation:

Proper inverse operation 14 + 17 = 31

Answers

subtraction is the correct inverse operation because you want one number on one side and the others on the other side and since both 14 and 17 are positive you need to subtract to get them to the right side

Answer:

No inverse operation needed. There are no varables to solve for.

Step-by-step explanation:

Decompose -6x/(x+4)(x-4) into partial fractions

Answers

Hello,

Integration fractions?

-6x/((x+4)(x-4))=A/(x+4)+B/(x-4)=((A+B)x-4A+4B)/((x+4)(x-4))
==> A+B=-6 and -4A+4B=0
==>A=B=-3

Answer -3/(x+4)-3/(x-4)

Kyle has 125 marbles. Fifty of these marbles are red and the reat are other colors. What is the ratio of the nunber of red marbles to the total of marbles expressed in simplest terms?