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Sindrei [870]
3 years ago
9

Tony has $12 to buy apples and bananas for a fruit salad. Apples cost $2 per pound and bananas cost $1 per pound. Write and grap

h an inequality to describe the situation. Then give two possible combinations of pounds of apples and bananas that Tony can buy.
A. 2a + b ≥ 12
2 pounds of apples and 9 pounds of bananas or
4 pounds of apples and 9 pounds of bananas.

B. 2a + b ≤ 12
2 pounds of apples and 9 pounds of bananas or
4 pounds of apples and 9 pounds of bananas.

C. 2a + b ≤ 12
2 pounds of apples and 6 pounds of bananas or
4 pounds of apples and 4 pounds of bananas.

D. 2a + b ≥ 12
2 pounds of apples and 6 pounds of bananas or
4 pounds of apples and 4 pounds of bananas.
Mathematics
1 answer:
choli [55]3 years ago
6 0

Answer: 2a+b<18

Step-by-step explanation:

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the system of equations y =-3x+2 and y =1/2 x -6 is shown on the graph below. What is a reasonable estimate for the solution&gt;
Tom [10]

Answer:

The reasonable estimate for the solution is (2.29, -4.87)

Step-by-step explanation:

The reasonable estimate for the solution is the point where the two lines intersect each other.

To get the point where they intersect, we will simply equate the system of equations given as shown:

-3x+2=\frac{1}{2}x-6\\Collect \ the \ like \ terms\\-3x-\frac{1}{2}x=-6-2\\\frac{-7x}{2}=-8\\-7x=-16\\x=\frac{16}{7}    \\x=2.29

Substitute x = 2.29 into any of the equation

Using the equation y = -3x+2

y = -3(2.29)+2

y = -6.87+2

y =-4.87

This shows that the reasonable estimate for the solution is (2.29, -4.87)

Further explanation on the similar question can be found here brainly.com/question/19713330

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3 years ago
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What is the gcf for 18m 45mn?
Mice21 [21]
The answer is 9

9 times 2 = 18

9 times 5 = 45
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Please help me with this question!! fast
lilavasa [31]
The answer would have to be B because of the pi.
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How do I find b in y=mx+b?​
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In the equation y = mx + b for a straight line, the number m is called the slope of the line. Let x = 0, then y = m • 0 + b, so y = b. The number b is the coordinate on the y-axis where the graph crosses the y-axis.

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An airline finds that 5% of the persons making reservations on a certain flight will not show up for the flight. If the airline
vivado [14]

Answer:

The answer to the question is;

The probability that a seat will be available for every person holding a reservation and planning to fly is 0.63307.

Step-by-step explanation:

Let the sample size =n = 100

The success probability = 5 % = 0.05

Number of tickets sold = 105 tickets

In the case where there the airline has found that 5 % will not show up, then every passenger should have  a seat, we have  

A Binomial distribution is appropriate where there is a chance for a certain number of successful outcomes from a number of independent trails

However n·p and n·q must be ≥ 5 for there to be a normal approximation of a Binomial distribution thus

n·p = 105×0.05 =  5.25 ≥ 5

and n·q = n(1 - p) = 105 (1 - 0.05) = 99.75 ≥ 5

As the requirements are met, we can proceed with the approximation of the Binomial distribution by the normal distribution

 z = \frac{x-np}{\sqrt{np(1-p)}  } = \frac{4.5 - 105*0.05}{\sqrt{105*0.05(1-0.05)} } =  - 0.3358

We therefore have P(x ≥ 5) = P( x > 4.5) = P(z > -0.34) = 1 - P(z < -0.34) = 1 -0.36693 = 0.63307

Another way to solve the question is as follows

p = 0.95 q = 0.05

μ = np = 0.95*105 = 99.75, σ = \sqrt{npq} = 2.233

P (x≤100) = P(z = P(z<0.34) = 0.63307.

6 0
3 years ago
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