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3 years ago

14

As the student council treasurer, you prepare the budget for your class rafting trip. Each large raft costs $100 to rent and eac

h small raft costs $40 to rent. You have $1,600 to spend. Write and solve a linear equation to find the number of small rafts you can rent if you rent 12 large rafts.

1 answer:

Art [367]3 years ago

6 0

Answer- You can get 10 Small rafts

12 x 100+ 1200

1600-1200=400

400/40 =10 Rafts

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Find the surface area of this cylinder.<br>Round to the nearest tenth.<br>

iren2701 [21]

Answer:

282.7

Step-by-step explanation:

surface area of cylinder = 2πR² + 2πRh

R = 3 cm

h = 12 cm

surface area of cylinder = 2π*3² + 2π*3*12 = 90π ≈ 90*3.14 ≈ 282.7 (cm²)

4 0

3 years ago

Can someone please solve these?

JulijaS [17]

Answer:

Step-by-step explanation:

h = -6 $t^{2}$ +20t + 4

I will use calculus, maybe that's not how you're supposed to do this

-12t +20 =0

12t = 20

t = 20 /12

t = 1 $\frac{8}{12}$

t = 1 $\frac{2}{3}$

there will be a max at 1.6666666666 seconds

-6* $1.6666666666666^{2}$ + 20 * 1.6666666666 +4

= 16.666666666666 + 33.333333333333 + 4

= - 16 $\frac{2}{3}$ + 33 $\frac{1}{3}$ + 4

= 20 $\frac{2}{3}$ feet max height ( not too high, for a rocket)

time of flight:

0 = -6 $t^{2}$ +20t + 4

use quadratic formula to find t

-20 +- sqrt [ $20^{2}$ - 4*(-6)*4 ] / 2*(-6)

-20 +- sqrt [400 + 96 ] / -12

-20 +- sqrt [496 ] / -12

-20 +- 22.27105 / -12

try the negative option 1st

-42.27105 / -12

3.522 seconds. time of flight

when will the rocket be at 12' ? :

12 = -6 $t^{2}$ +20t + 4

0 = -6 $t^{2}$ +20t -8

use quadratic formula again to find t

-20 +- sqrt [ $20^{2}$ - 4*(-6)*(-8) ] / 2*(-6)

-20 +- sqrt [ 400 - 192 ] / -12

-20 +- sqrt [208 ] / -12

-20 - 14.4222 / -12

-34.4222 / -12

2.8685 seconds ( on the way down)

and

-20 + 14.4222 / -12

-5.578 / - 12

0.4648 seconds ( on the way up )

6 0

3 years ago

Write the formula for the parabola that has x- intercepts (3,0) and (8,0), and y- intercept (0,−2)

alexira [117]

Answer: $x^2-5x=-12(y+2)$

Step-by-step explanation:

Given

Parabola has x-intercept has $(3,0)$ and $(8,0)$

and Y-intercept as $(0,-2)$

Now the general equation of parabola is

$y=ax^2+bx+c\quad \ldots(i)$

Substitute $(0,-2)$ in $(i)$ we get

$-2=c$

Now substitute $(3,0)$ in equation $(i)$

$0=a(3)^2+3b-2\quad \ldots(ii)$

Now substitute $(8,0)$ in equation $(i)$

$0=a(8)^2+8b-2\quad \ldots(iii)$

Solving $(ii)$ and $(iii)$ we get

$a=\frac{-1}{12}\ \text{and}\ b=\frac{5}{12}$

therefore

$y=\frac{-x^2}{12}+\frac{5x}{12}-2$

$12y=-x^2+5x-24$

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3 years ago

A high school track coach wanted to test whether giving the students an energy drink could affect performance during the 100 met

kondaur [170]

The inference that can be made about the results is that; energy drinks enhances performance during 100 meters race.

<h3>How to find inference from a given data?</h3>

From the given table and histogram, we can see that;

Group 1 average race time = 10.8

Group 2 average race time = 11.6

Thus, since group 1 drank energy drink and had faster times than group 2 without energy drinks, the inference that can be made about the results is that energy drinks has enhancing performance during 100 meters race.

Read more about Inference at; brainly.com/question/1611703

#SPJ1

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2 years ago

30 POINTS SEND ASAP OR I WONT SEE IT! Do both

Kobotan [32]

Answer:

ITS "B"

Step-by-step explanation:

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2 years ago