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2 years ago

!!! 20 POINTS !!!

1 answer:

3 0

Answer: rental cost for each movie $1.50
Rental cost for each video game $6.25

Explanation:

m = rental cost of each movie
g = rental cost of each game

Set up:

8m + 4g = 37
3m + 2g = 17

Modify for elimination:

3 (8m + 4g = 37) ———> 24m + 12g = 111
8 (3m + 2g = 17) ———> 24m + 16g = 136

Subtract:

24m + 16g = 136
- 24m - 12g = -111
——————————
4g = 25

Divide:

4g = 25

g = 25/4

g = 6.25

So each game is $6.25

Now plug in “g” to one of the original equations and solve for “m” to find the rental cost for each movie

3m + 2 (6.25) = 17 (multiply 2 & 6.25)

3m + 12.50 = 17 (subtract 12.50 from sides)

3m = 4.50 (divide both sides by 3)

m = 1.50

So each movie rental is $1.50

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How to write this numbers in word 30.659

Karo-lina-s [1.5K]

Answer:

thirty and six hundred fifty-nine thousandths

Step-by-step explanation:

6 0

3 years ago

A ball is shot straight up from the top of a 15-story building. The motion of the ball could be described by the function: h(t)=

viktelen [127]

Answer:

After 4 seconds the height is 480 meters.
The maximum height is 484 meters.
The ball hits the ground after 10 seconds

Step-by-step explanation:

The height after four seconds is h(4) = -16 * r² + 144*4+160 = 480

The maximum height of the ball is the value it takes at its vertex 'v = -b/2a'. In this case a = -16 and b = 144, so the v = -144/-32 = 4.5. The maximum height of the ball as a result is h(4.5) = -16 (4.5)² + 144*4.5 + 160 = 484

To find the moment the ball hits the ground, we need to find when h takes the value 0 by using the quadratic formula, with a = -16, b = 144 and c = 160.

$r_1,r_2 = \frac{-144 \, ^+_- \sqrt{144^2-4*(-16)*160}}{2*(-16)} = \frac{-144 \, ^+_- \sqrt{30976}}{-32} = \frac{-144 \, ^+_- 176}{-32} = -1, 10$

Since t cant take negative values, then the correct value is 10. The ball hits the ground after 10 seconds.

7 0

3 years ago

Use the figure and given angle to find the measure of each angle below (tell me how many degrees it is).

Minchanka [31]

9514 1404 393

Answer:

∠6 = ∠4 = 84°

∠5 = ∠3 = 96°

Step-by-step explanation:

Angle 4 and the marked angle (84°) are corresponding angles, so are congruent. Angles 4 and 6 are vertical angles, so are congruent.

∠6 = ∠4 = 84°

Angle 3 and the marked angle are a linear pair, so angle 3 is the supplement of 84°:

∠3 = 180° -84° = 96°

Angle 3 and angle 5 are alternate interior angles, so are congruent.

∠5 = ∠3 = 96°

3 0

3 years ago

Please solve the challenge problem J

Verdich [7]

Answer: (7x^2+144)/x^2

Step-by-step explanation:

f(h(x))=

f(12/x)=

(12/x)^2+7=

12^2/x^2 + 7=

144/x^2 +7=

144/x^2 +7*x^2/x^2=

144/x^2+7x^2/x^2=(7x^2+144)/x^2

6 0

2 years ago

A rumor spreads among a group of 400 people. The number of people, N(t), who have heard the rumor by the time t in hours since t

Sindrei [870]

Answer:

about 15 hours

Step-by-step explanation:

You want to find t such that N(t)=200. Fill in the equation with that information and solve for t.

200 = 400/(1 +399e^(-0.4t))

1 +399e^(-0.4t) = 400/200 = 2 . . . . . multiply by (1+399e^(-0.4t))/200

399e^(-0.4t) = 1 . . . . . . . . . . . . . . . . . . subtract 1

e^(-0.4t) = 1/399 . . . . . . . . . . . . . . . . . .divide by 399

-0.4t = ln(1/399) . . . . . . . take the natural log

t = ln(399)/0.4 ≈ 14.972 . . . . . . . divide by -0.4, simplify

Rounded to tenths, it will take 15.0 hours for half the people to have heard the rumor.

3 0

4 years ago