MATHEMATICS HIGH SCHOOL

If x = 30 degree, then which expression is equivalent to 1/2?a. -sin x
b. sin x
c. -cot x
d. cot x

Answers

Answer 1
Answer: sin30^o=(1)/(2)\n\nAnswer:b.\ sinx

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Solve for y

3x + 3y = 45

Answers

Answer:

y=15-x

Step-by-step explanation:

3y=45-3x

y=15-x

If you want to solve for y, you need another one equation

Answer:

y = -x + 15

Step-by-step explanation:

Subtract 3x from each side (left and right side of the equal sign) which will leave you with 3y = -3x + 45. Then divide everything by 3 which gets you

y = -x +15

At the last football game, 4 out of every 9 students wore school colors. Based on this information, if 450 students attend the next football game, how many students will wear school colors?

Answers

450 / 9 = 50

50 x 4 = 200

200 students will wear school colours
200 students will wear school colors

A famous basketball player scored 97 points in a high scool game, breaking a national record. She made 43 more 2-point baskets than 3-point baskets, and only 1 free throw. How many 2-point and 3-point baskets did she make?

Answers

x - 3pt  baskets  (he reaches 3x points)
y - 2pt baskets  (he reaches 2y points)

We know, that  y=x+43

97 - 1 free throw = 97 - 1 = 96
Sum of points:  96

3x + 2y = 96.   Substitute  to "y"  an expression "x+43" :

3x + 2(x+43)=96
3x+2x+86=96
5x=10    |:5
x=2 

So y=x+43=2+43=45 

He has made 2  three points baskets and 45 two points baskets

12.5,-10,-7.5,x;the mean is 11.5

Answers

Answer:

Hi!

The correct answer is x = 51.

Step-by-step explanation:

By definition the mean formula is:

mean = (x_1 + x_2 + x_3 + ... + x_n)/(n)

where x are the samples of the data set and n the numbers of elements in the set.

In this case:

  • n = 4
  • mean = 11.5

Replacing the data on the general formula:

11.5 = (12.5 - 10 - 7.5 + x)/(4)

Solving the equation step by step,

4 * 11.5 = -5 + x}

46 = -5 + x}

51 = x}

If y varies inversely as x and y = 18 when x = 4, what is y when x = 24?a.12
b.6
c.3
d.16

Answers

The answer is C. Try 18=k/4. 18*4=72. Take 72/24=3.
The answer is 3. 
y=k/x
18=k/4
k= 72
when x is 24
y=72/24
=3

Jamie's balance in his checking account is $259.68 on Monday. On Tuesday, he writes checks for: $25.99, $16.58, $32.86, $85.22. What is Jamie's new balance?

Answers

All you have to do is find the total amount he wrote out checks for and then subtract that from $259.68. The answer is $99.03
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