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larisa86 [58]
3 years ago
7

Renee is buying Halloween candy. She wants to buy candy bars and lollipops and spend no more than $28. Each candy bar costs $0.4

5 and each lollipop costs $0.25. Which inequality represents the possible combinations of x, the number of candy bars, and y, the number of lollipops Renee can buy?
Mathematics
1 answer:
aivan3 [116]3 years ago
6 0

The inequality that represents the possible combinations of candy bars and  lollipops that he can buy is given by:

0.45x + 0.25y \leq 28

<h3>What is the inequality that models this situation?</h3>

The total price can be no more than $28, hence:

T \leq 28

Each candy bar costs $0.45 and each lollipop costs $0.25. x is the number of candy bars and y of lollipops. Hence, the total price is given by:

T = 0.45x + 0.25y.

Hence, the inequality that models the situation is:

0.45x + 0.25y \leq 28

More can be learned about inequalities at brainly.com/question/25235995

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Step-by-step explanation:

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A bicyclist traveled with a speed of 12 km/h from a camping ground to a station, located 60 km away. Write a formula expressing
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1. The formula expressing the dependence of the variable s on t is: s = 60 - 12t

2. the distance travelled at time t = 3.5 h is 18 Km

<h3>What is speed? </h3>

Speed is the distance travelled per unit. Mathematically, it can be expressed as:

Speed = distance / time

<h3>1. How to determine the formula expressing the dependence of the variable s on t</h3>

From the question given, bicyclist traveled with a speed of 12 km/h from a camping ground to a station, located 60 km.

Thus, we shall determine the distance travel in time t as follow

  • Speed = 12 Km/h
  • Time = t
  • Distance in time t = ?

Speed = distance / time

12 = distance / t

Cross multiply

Distance = 12 × t

Distance in time t = 12t

But the total distance travelled is 60 Km. Thus, the remaining distance (s) from the bicyclist to the station at time (t) will be given as:

s = 60 - 12t

Thus, the formula expressing the dependence of the variable s on t is: s = 60 - 12t

<h3>2. How to determine the distance at t = 3.5 hours</h3>

The distance at t = 3.5 hours can be obtained as illustrated below:

  • Time (t) = 3.5 hours
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s = 60 - 12t

s = 60 - (12 × 3.5)

s = 60 - 42

s = 18 Km

Thus, the distance travelled at t = 3.5 hours is 18 km

Learn more about speed:

brainly.com/question/680492

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2 years ago
The function f ( x ) = 2 ⋅ 5 ^x can be used to represent an exponential growth curve. Which of the following points is NOT on th
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Answer:

Point (2, 20) does not lie on the given curve.

Step-by-step explanation:

Let us see explanation:

f(x) = 2. \:  {5}^{x}  \\  \\  \therefore \: f(x) \: at \: x = 2 \\ f(2) = 2. {5}^{2}  = 2.25 = 50 \\  \\ hence \: at \: x = 2 \:  \: f(x) = 50 \\  \therefore \:point (2 \:  \: 20) \: does \: not \: lie \: on \: the \: \\   \:  \:  \:  \:  \: curve.

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Answer:

Step-by-step explanation:

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Can you help me find the side??? It's trigonometry!!
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Answer: 5.6

===================================

Work Shown:

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