MATHEMATICS HIGH SCHOOL

Coach Shaw is buying baseball equipment for his team. he gets a reduced rate if he buys 8 baseballs for every 3 batting helmets. The reduced rate is $2.25 per baseball and $22.50 per helmet. The sales tax on each item is 6%. Coach Shaw has $400 in his budget to buy baseballs and helmets. What is the greatest number of baseballs and helmets he can buy at the reduced rate if the ratio of baseballs to helmets is 8:3?

Answers

Answer 1
Answer:

Answer:

He can by for sets, that is, 24 baseballs and 12 batting helmets.

Step-by-step explanation:

We know that

Each baseball costs $2.25.

Each helmet costs $22.50.

This mean that 8 baseballs costs: 8(\$2.25)=\$18\n

And all 3 batting helmets costs: 3(\$22.50)=\$67.50

Now, one set of 8 baseballs and 5 helmets costs \$18 + \$67.50=\$ 85.50

If coach Shaw has $400, the total number of set he can buy is (\$400)/(\$85.50)\approx 4

This means he can by for sets, that is, 24 baseballs and 12 batting helmets.
Answer 2
Answer: $2.25x8=$18
$22.50x3=$67.50
Tax: 18x$0.06=$1.08~~~~$18+$1.08=$19.08. 
67.50x0.06=4.05~~~~$67.50+$4.05=$71.55
$71.55+$19.08=$90.63
$400.00/$90.63= about 4 sets of 3 helmets and 8 baseballs. 

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Find the product mentally.
(2m - 9)^2

Answers

- - Solve:

=2m+-9*2m+-9
2m*2m+2m*-9+-9*2m+-9*-9
4m^2-18m-18m+81
4m^2-36m+81

Your final answer is 4m^2−36m+81
Use the formula: (a-b)² = a² -2ab + b²

(2m-9)² = (2m)² - 2(2m)(9) + 9²

= 4m² - 36m + 81

Polynomial equation. How do I do distributive property?

Answers

You have to multiply each term by everything. For example if you have, (5z-6)(2z-4) the distributive property can be written out to help show what you have to do, if you write it as a step it would be 5z(2z-4)-6(2z-4). I hope this helps, good luck!

Some give me some underrated songs/artists

Answers

Answer:

Lil Loaded, Jee hawkins 9lokknine

Step-by-step explanation:
1. " Fools Gold" by One Direction.
2. " Rain" by Kid Kudi.
3. " Lover to Lover" by Florence + the Machine.
4. " All Too Well" by Taylor Swift.
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5 Select the correct answer. Michael had $550 in his savings account. He took out $30.75 every month for one year. What is the net change in Michael's account balance following these withdrawals? A $519.25 B. $369 O c. $369 OD. $519.25 Reset Next​

Answers

Answer:

C.369

Step-by-step explanation:

one year is 12 months and he took out 30.75 every month so  

30.75 multiplied by 12 is 369  

its C

I'm looking at the top at 79.9 angle. I'm 100ft away. What's the height of the building?

Answers

To solve this, notice that you have the angle component (I will call this a) and the x-component (the distance of you from the building) of a trig formula, and you are looking for the y-component. We will use the tangent formula, since this incorporates the angle, x, and y components.

1. Write the formula

tan(a) = y ÷ x

2. Rewrite to include the known values.

tan(79.9) = y ÷ 100

3. Solve for the unknown variable, y.

tan(79.9) × 100 = y ÷ 100 × 100

tan(79.9) × 100 = y

4. A fancy step that I call the "flip flop."

y = tan(79.9) × 100

5. Use a calculator to find the value (make sure the calculator is in "degree" and not "radians" mode).

y = 561.3968

6. Round the number as is appropriate for this problem.

Have a great day!
so this is a trig problem

so you have a right triangle
base=100 ft
from wher you are standing, it is a 79.9 angle to the top
we want to find the height of the tower or the opposite side
the base is  the adjacent side so you are looking for o/a or tan(79.9) since you know one of the sides so therefor
tan(79.9)=h/100
evaluate tan(79.9)
tan(79.9)=5.61396
5.61396=h/100
multiply both sides by 100
561.396=h
round to tenths place
561.4
the height=561.4 ft

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Answers

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