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alexandr402 [8]
3 years ago
14

It costs five dollars to get into the local skating rink. The video games cost 75¢ each to play. If all you have to spend on ska

ting and video games is twelve dollars, what is the maximum number of video games you can play?
how do i write this as an equation? (inequalitites)
Mathematics
1 answer:
Stels [109]3 years ago
6 0
.75x+5 ≤ 12

Explanation:you need to spend the 5 dollars to get in and the x is the number of games you play so all of that needs to be less than or equal to 12
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Answer:

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Step-by-step explanation:

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Carlo spent $107.60 on 8 books. If each book cost the same amount, how much did one book cost?
dlinn [17]

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$13.45

Step-by-step explanation:

Divide $107.60 by 8

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The most efficient first step in the process to factor the trinomial 4x^3-20x^2+24x
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Factor out 4x <=====
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3 years ago
F(x)=2x^3+2x-3 g(x)=-.5[x-4] what is the y value when f(x) = g(x)?
Charra [1.4K]

Answer:

D. x = 0.5

Step-by-step explanation:

A graphing calculator is the quickest way to get to an answer here.

 f(x) = g(x) for x = 0.5

__

We can find the y-intercepts of the two functions to be ...

 f(0) = -3

 g(0) = -2

We know the x-intercept of g(x) is x=4. The x-intercept of f(x) will be a value less than 1, because f(1) = 1. (The function crosses the x-axis between x=0 where f(x) < 0 and x=1, where f(x) > 0.)

Considering these intercept points, we know the value of x for f(x)=g(x) will be between x=0 and x=1. There is only one answer choice in that interval:

 x = 0.5

5 0
3 years ago
A jumper in the long-jump goes into the jump with a speed of 12 m/s at an angle of 20° above the horizontal. How far does the ju
weeeeeb [17]

Answer:

x = 9.5 m

Step-by-step explanation:

Given:

This problem is based on 2D motion kinematics equations:

V_0 = 12 m/s

\theta = 20^0

g=9.8 m/s^2

At maximum height:

V_y = 0

Components of initial velocity:

V_0x = V_0 cos (\theta) =(12 )(cos (20^0)) = 11.3 m/s

V_0x = V_0 sin (\theta) = (12)(sin (20^0)) = 4.10 m/s

To find time to reach maximum height:

V_y = V_0y -gt

Plugging in the known values:

0 = 4.10 - 9.8t

t = \frac{-4.10}{-9.8}

t = 0.418 s

Total time = 2t = 2(0.418) = 0.836 s

to find horizontal distance covered:

x = (V_0x)(t)\\x = (11.3)(0.836)\\x = 9.5 m

8 0
3 years ago
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