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2 years ago

11

Mr. Molier is calculating the semester averages for his history students. he can calculate the average for 20 students in an hou

r. how many minutes does it take him to calculate the average for each student?

1 answer:

AleksandrR [38]2 years ago

6 0

It takes him 3 minutes to calculate the averages for each student

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Solve.<br> sec 315 degrees

densk [106]

Answer:

1.41

Step-by-step explanation:

5 0

2 years ago

Jane is 5 times older than her sister. In 3 years, Jane’s sister will be 1/4 her age. Find the ages now

Korolek [52]

The present age of Jane is 45 years old and present age of her sister is 9 years old

<em><u>Solution:</u></em>

Let the present age of Jane be "x"

Let the present age of her sister be "y"

<em><u>Jane is 5 times older than her sister</u></em>

present age of Jane = 5(present age of her sister)

x = 5y ---------- eqn 1

<em><u>In 3 years, Jane’s sister will be 1/4 her age</u></em>

Age of sister after 3 years = 3 + y

Age of jane after 3 years = 3 + x

Age of sister after 3 years = 1/4(age of jane after 3 years)

$3 + y = \frac{1}{4}(3 + x)$

Substitute eqn 1 in above equation

$3 + y = \frac{1}{4}(3 + 5y)\\\\12 + 4y = 3 + 5y\\\\5y - 4y = 12 - 3\\\\y = 9$

Substitute y = 9 in eqn 1

x = 5(9)

x = 45

Thus present age of Jane is 45 years old and present age of her sister is 9 years old

3 0

3 years ago

kylie opened a bank account. she deposited 76.50 into her account every month for 10 months. she used 30.50 every month to pay f

topjm [15]

The total amount of money Kylie spent to go to talent camp is 115.

76.5 *10 =765 (Amount of money she deposited in 10 months)
30.5 *10 = 305 (Amount of money she used to pay for singing lessons in 10 months)
765 - 305 = 460 (Amount remaining after singing lessons for 10 months)
460/4 = 115 (Amount she used to go to a talent camp)

5 0

2 years ago

1. You are standing on top of a ridge using a clinometer trying to figure out how far your dog has wandered off in

olga_2 [115]

<u>Given:</u>

It is given that the ridge is 360 inches tall.

<u>Assumptions:</u>

Assume you are 170.1 cm tall which equals 67 inches tall, the height from your eye to the floor is $360+67 = 427$ inches.

The distance from your eye level to the bottom of the ridge is 427 inches.

Assume the angle A is 60°.

<u>To find the distance from you to your dog.</u>

<u>Solution:</u>

A right-angled triangle can be formed where the angle is 60°, the distance between you and the dog is the hypotenuse of the triangle and your height from the floor is the adjacent side of the triangle.

Assume the hypotenuse of the triangle measures x inches.

To determine the length of the hypotenuse, we determine the cos of the angle.

$cos \theta = \frac{adjacent side}{hypotenuse} .$

$cos A = \frac{427}{x} , x = \frac{427}{cos60} , cos60=0.5.$

$x=\frac{427}{0.5} = 854.$

So if the ridge is 360 inches tall and you are 67 inches tall and the angle A is 60°, the distance between your dog and you is 854 inches.

3 0

3 years ago

Jameson has 4300 in credit card debt with 14% interest that he wants to pay off in 24 months. He will need to make monthly payme

lakkis [162]

Answer:

Total cost of repayment $= 4955.04$

Net interest paid $= 655.04$

Step-by-step explanation:

Given

Amount taken on loan $= 4300$

Repayment plan

Monthly installment $=$ $206.46$

Yearly installment $= 206.46 * 12 = 2477.52$

Rate of interest per year $= 14$ %

Time Period for repaying the loan $= 2$ years

The total amount repaid by Jameson at the rate of $206.46$ per month for next $24$ months

$= 206.46 *24\\= 4955.04$

Net interest paid

$= 4955.04 - 4300\\= 655.04$

Total cost of repayment $= 4955.04$

Net interest paid $= 655.04$

8 0

2 years ago