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joja [24]
4 years ago
14

Steve is buying a sandwich for lunch and some fresh fruit juice for his friends. The sandwich costs $3.92 and the fruit juice co

sts $0.80 per ounce. He can spend at most $23.52 on all the food items.
How many ounces of juice, x, can he purchase and stay within his budget? Select the inequality that includes the largest amount of ounces of juice he can purchase and still stay under his budget.

A. x≤24.5
B. x≥19.6
C. x≥24.5
D. x≤19.6
Mathematics
1 answer:
Svetradugi [14.3K]4 years ago
4 0

Answer:

D

Step-by-step explanation

2+2-4

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Two runners start 30kilometer apart and run toward each other. they meet after 3hours. One Runner runs 2 kilometers per hour fas
joja [24]

Answer:

4 km per hour and 6 km per hour.

Step-by-step explanation:

The combined running rate  = 30/3 = 10 km/h.

If one runner's speed = x then the other one's speed is x+2 km/h.

So x + x + 2 = 10

2x = 8

x = 4

So one runs at 4 km/h and the other at 6 km/h.

3 0
3 years ago
James would like to learn how to make omelettes. He polls his family about the number of eggs they each use to make one. He gets
Dmitry_Shevchenko [17]

Answer:

2 eggs

Step-by-step explanation:

Mean is average, so add all the numbers together then divide by how many numbers there are.

3 + 3 + 2+ 3 + 1 + 2 + 1 + 1 = 16

16 ÷ 8 = 2

4 0
2 years ago
You are arguing over a cell phone while trailing an unmarked police car by 25 m; both your car and the police car are traveling
BARSIC [14]

Answer:

  (a) 15 m

  (b) ground speed: 26.14 m/s (94.1 km/h); relative speed 12 m/s

Step-by-step explanation:

We can choose the frame of reference to be the trailing car. We can start counting time from the point the lead car begins deceleration. Then its position (in meters) relative to the trailing car is ...

  d(t) = 25 - 5/2t² . . . . . . where 25 m is the initial distance and -5 is the acceleration in m/s².

(a) Then the distance between cars at t=2 is ...

  d(2) = 25 - (5/2)·4 = 15 . . . . meters

__

(b) The <em>relative velocity</em> at 2.4 seconds is ...

  d'(t) = -5t

  d'(2.4) = -5(2.4) = -12.0 . . . m/s

The closure speed with the police car is 12 m/s.

__

We need to do a little more work to find the ground speed of the trailing car when the cars bump.

The distance between the cars at t=2.4 seconds is ...

  d(2.4) = 25 -(5/2)2.4² = 10.6 . . . . meters

At the closure speed of 12 m/s, it will take an additional ...

  10.6 m/(12 m/s) = 0.8833... s = 53/60 s

to close the gap. The speed of the trailing car at that point in time will be the original speed less the deceleration for 0.8833 seconds:

  (110 km/h)·(1/3.6 (m/s)/(km/h))-(5 m/s²)(53/60 s)

     = 26 5/36 m/s = 94.1 km/h

_____

<em>Comment on following distance</em>

To avoid collision, the trailing car must be trailing by at least the distance it covers in 2.4 seconds, about 73 1/3 meters.

6 0
3 years ago
Se van a transportar sacos que contienen 50 kg de azúcar cada uno, el camión que se va utilizar para el transporte de los sacos
LekaFEV [45]

Function: 50x=8000 (maximum number of packages: 160)

Step-by-step explanation:

In this problem, we have:

C=8 ton = 8000 kg is the capacity of the truck (the amount of mass that can be stored in the truck)

p = 50 kg is the mass of each package that need to be stored in the truck

We can find the number of packages that can be transported as follows: calling this number x, the total mass of x packages is

p\cdot x

This amount should be at most equal to the capacity of the truck, therefore:

px=c

And substituting the numbers,

50x=8000

And solving the equation, we can found the number of packages that can fit into the truck:

x=\frac{8000}{50}=160

Learn more about equations:

brainly.com/question/11306893

brainly.com/question/10387593

#LearnwithBrainly

7 0
3 years ago
Which property of equality used to solve subtraction equations​
Vinil7 [7]

Answer:

Addition Property of Equality

Step-by-step explanation:

4 0
2 years ago
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