MATHEMATICS HIGH SCHOOL

What is 15% of 120 and how do you do it

Answers

Answer 1
Answer: 15%*120=15/100*120=15/10*12 ( u can cancel 1 0 from 100 &120)=3/2*12( by cancelling by 5)=3*6( by cancelling by 2 )=18 ans,,

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What is 187.2 divided by 8.

What is the value of z so that -9 and 9 are both solution of x^2+z=103-22
3
22
184

Answers

22 because -9 and 9 squared is 81 subtract that from 103

Answer:

22

Step-by-step explanation:

What specific properties are these?
A. 3+(5+9)+6=5(9+6)+3
B. 3 x 4 x 5= 4 x 3 x 5

Answers

A. 3+(5+9)+6=5(9+6) + 3
- addition
- multiplication
- distributive property

B. 3x4x5=4x3x5
- multiplication

Hope this helps!
A. associative property of addition
B. associative property of multiplication

The function H(t) = −16t2 + 60t + 95 shows the height H(t), in feet, of a projectile after t seconds. A second object moves in the air along a path represented by g(t) = 20 + 38.7t, where g(t) is the height, in feet, of the object from the ground at time t seconds.Part A: Create a table using integers 1 through 4 for the 2 functions. Between what 2 seconds is the solution to H(t) = g(t) located? How do you know? (6 points)

Part B: Explain what the solution from Part A means in the context of the problem. (4 points)

Answers

h(t) = -16t² + 60t + 95
g(t) = 20 + 38.7t

h(1) = -16(1²) + 60(1) + 95 = -16 + 60 + 95 = -16 + 155 = 139
h(2) = -16(2²) + 60(2) + 95 = -16(4) + 120 + 95 = -64 + 215 = 151
h(3) = -16(3²) + 60(3) + 95 = -16(9) + 180 + 95 = -144 + 275 = 131
h(4) = -16(4²) + 60(4) + 95 = -16(16) + 240 + 95 = -256 + 335 = 79

g(1) = 20 + 38.7(1) = 20 + 38.7 = 58.7
g(2) = 20 + 38.7(2) = 20 + 77.4 = 97.4
g(3) = 20 + 38.7(3) = 20 + 116.1 = 136.1
g(4) = 20 + 38.7(4) = 20 + 154.8 = 174.8

Between 2 and 3 seconds. 
The range of the 1st object is 151 to 131.
The range of the 2nd object is 97.4 to 136.1

h(t) = g(t) ⇒ 131 = 131

It means that the point where the 2 objects are equal is the point where the 1st object is falling down while the 2nd object is still going up. 

Sweatshirt = $32 t-shirts = $14 ,Which costs more, 14 sweatshirts or 32 t-shirts?What property can be used to find the answer.

Answers

Cost of a sweatshirt = $32
Then
Cost of 14 sweatshirts = (32 * 14) dollars
                                     = 448 dollars
Cost of a t-shirt = $14
Cost of 32 t-shirts = (32 * 14) dollars
                               = 448 dollars
So it can seen from the deduction that the cost of 14 sweatshirts and 32 t-shirts comes out to be same and equal to $448. I hope the answer and the procedure of doing this problem is clear to you. It is important to look at all the details given in the question and then start solving the problem.
14 sweatshirts would cost:
14 sweatshirts* ($32/ 1 sweatshirt)= $448.
(Note that the unit cancels out, so you get the answer)

32 T-shirts would cost:
32 T-shirts* ($14/ 1 T-shirt)= $448.
(Note that the unit cancels out, so you get the answer)

The cost of 14 sweatshirts and 32 T-shirts is equal~

-2(n+3)=13 solve for n

Answers

Answer:

1. Simplify:

-2(n + 3) = 13
-2n - 6 = 13

2. Change „-6” side to right (to get answer), without forgetting to change the sign:

-2n - 6 = 13
-2n = 13 + 6
-2n = 19

3. Simplify (The „|” means operation done at both sides of equation):

-2n = 19 |:(-2)
n = -9.5

Proof:
-2(-9.5 + 3) = -2 * (-6.5) = 13

Hope this helps!
N= -8
This is the work :

The conversion of square feet to square yards can be represented by direct variation. Three square yards are equivalent to 27 square feet. Let y represent the number of square yards and x the number of square feet. Then y varies directly with x.What is the constant of variation?

Answers

Let y represent the number of square yards
Let x the number of square feet.
Then y varies directly with x.

y = kx
where k is the constant of variation.
y = 3 yards^2
x  = 27 feet^2

3 = k(27)
k = 3/27
k = 1 yard^2 /9 feet^2

So the constant of variation is 1 yard^2 /9 feet^2.

Answer:

constant of variation is 1/9 and equation is y=1/9x

Step-by-step explanation:

3/27 = 1/9
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