MATHEMATICS HIGH SCHOOL

Thomas is saving his money so he can buy a new pair of roller blades that cost $75.00. Last month he saved $12.50. If he continues to save the same amount each month, how many months will he need to save in order to buy the roller blades?​

Answers

Answer 1
Answer:

Answer:  6 months

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the ski team has a race in 3 hours and it is 120 miles away. the team drives 50 miles each hour. will they arrive at the same time?

Answers

They won't arrive exactly when the race starts, but they will arrive before the race starts because, assuming they leave exactly three hours before the race, they can drive a total of 150 miles in three hours (3h*50mi/h). Because they only need to drive 120 miles, they will make it to the race before it starts.

Dante is making a necklace with 18 rows of tiny beads in which the number of beads per row is given by the series 3 + 10 + 17 + 24 + ... a. Use summation notation to write the series. Explain what the numbers in the summation notation represent in this situation and how you found the expression used in the summation.. . b. Find the total number of beads in the necklace. Explain your method for finding the total number of beads.

Answers

The numbers represent an arithmetic progression. The difference between terms is d=7. S=a1+a2+...+an, a1=3 and an=a1+(n-1)×d=3+17×7=122 S=(a1+an)n/2=(3+122)×18/2=125×9=1125

Your friend deposits $8500 in an investment account that earns 2.8% annual interest. What is the balance after 8 years when the interest is compounded quarterly? 1

Answers

I believe the balance would be $10,601.42

Hopefully that is the right answer

A cube has a side length of x feet. Which expression represents the surface area of the cube? A)4x square units
B)24x square units
C)x2 square units
D)6x2 square units

Answers

The answer is D)6x2 square units.

A surface area of a cube is a sum of its sides' areas. A side of the cube is a square, and there are total 6 sides of the cube. Also, an area of the side of the cube is the area of the square, which can be expressed as a², where a is the length of the side. Therefore, the surface area (SA) of the cube is:
SA = 6*a² = 6a²

If side length is x, that means that a = x units.
After replacing it in the formula, you will have:
SA = 6a² = 6x² square units
I hope this helps you

M ∪ N = ____.

{3, 4, 6, 7, 9}
{3, 4, 5, 6, 8, 9}
{2, 4, 6, 8}

Answers

{3, 4, 6, 7, 9}????????????/

Answer:34679

Step-by-step explanation:

please help me to solve this equation i tried to look it up on multiple websites but they only confused me 9/4-1/(2x)=4/x

Answers

solve for x
so assuming that the fractions are
(9/4)-(1/*2x))=4/x then
get all x on one side
add 1/(2x) to both sides
9/4=(4/x)+(1/(2x))
make common denomators with x and 2x
common denomenator is 2x
4/x times 2/2=8/(2x)
9/4=8/(2x)+1/(2x)
add
9/4=9/(2x)
make common denomators with 4 and 2x
common denomator is 4x
9/4 times x/x=9x/(4x)
9/(2x) times 2/2=18/(4x)
9x/(4x)=18/(4x)
multiply both sides by 4x to clear fraction
9x=18
divide both sides by 9
x=2
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