MATHEMATICS HIGH SCHOOL

2y+x=-15
X=3y
USING SUBSTITUTION METHOD

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

2y+x=-15

2y+3y=-15

5y=-15 and then by -15 divided by 5

y=-3

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Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.A rocket is launched from atop a 76-foot cliff with an initial velocity of 135 ft/s.
A.) Substitute the values into the vertical motion formula h=-16t^2+vt+c. Let h=0
B.) Use the quadratic formula find out how long the rocket will take to hit the ground after it is launched. Round to the nearest tenth of a second.
1.)0= -16t^2 + 135t + 76; 0.5 s
2.)0= -16t^2 + 135t + 76; 9 s

Answers

A ) h = -16 t² + 135 t + 76
Let : h = 0
0 = - 16 t² + 135 t + 76
B ) t 1/2 = (-b+/- √ ( b² - 4 ac ) / ( 2 a )
t 1/2 = (-135 - √(18,225 + 4,864))/ (-32) = ( - 135 - 151.95) / (- 32)=
= (-286.95) / (- 32) = 9.967 ≈ 9.0 s ( other solution is negative )
Answer:
2) 0 = -16 t² + 135 t + 76; 9 s

Answer:

The answer is 2.) $0=-16t^(2)+135t+76;9 s$

Step-by-step explanation:

Given initial velocity=135 ft/s

& cliff=76 foot

Given quadratic equation

$0=-16t^(2)+vt+c$

⇒ $0=-16t^(2)+135t+76$ (let h=0 it is given)

⇒ $t=(-135\pm\sqrt ((135)^(2)-4(-16)(76)))/(2(-16))$

⇒ $t=(-135\pm151.951)/(-32)$

⇒ t=8.96≈9 s (the other root is negative)

Hence, rocket will take 9 s to hit the ground after launched.

What percent of 32.2 is 24.15

Answers

100%/x%=32.2/24.15
(100/x)*x=(32.2/24.15)*x - we multiply both sides of the equation by x
100=1.33333333333*x - we divide both sides of the equation by (1.33333333333) to get x
100/1.33333333333=x
75=x
x=75

now we have:
24.15 is 75% of 32.2

Skate Land charges a $50 flat free for a birthday party rental. They also charge $5.50 per person to skate (but they do not charge for the birthday person).Jasmine has $150 to spend on a birthday party.Write an inequality that represents the situation. How many friends can Jasmine invite to her party?

Answers

$150<= $5.50x+$50
<= is less than or equal too
the most she can invite to her birthday is 18 people :)

Answer:

74.05

Step-by-step explanation:

150-50-5.50-20=74.05 So she can invite 20 friend

PLEASE HELP!!! a. segment AB congruent
segment CD
b. segment AB congruent d. segment BC
c. segment AD congruent segment BC
d. segment AC congruent segment BD

Answers

Answer:

A. Segment AB congruent segment CD

C. Segment AD congruent segment BC

Step-by-step explanation:

These are both true because a characteristic of a rhombus is that all four sides are congruent. Therefore we must prove that AB is congruent to CD and AD is congruent to BC.

In How many different orders can 12 basketball players be listed in a program665,228
479,001,600
1
12

Answers

The question above which involves the order of the enlistment of the basketball players can be answered by calculating for the factorial (!) of the number of players. That is,
different orders of enlistment = 12! = 479,001,600
Thus, the answer is the second choice.

To take a taxi, it cost $3.00 plus an additional $2.00 per mile traveled. you spent exactly $20 on a taxi, which includes the $1 tip you left. how many miles did you travel?