Hamburgers cost $2.50 and cheeseburgers cost $3.50 at a snack bar. Ben has sold no more than $30 worth of hamburgers and cheeseburgers in the first hour of business. Let x represent the number of hamburgers and y represent the number of cheeseburgers. The inequality 2.50x + 3.50y ≤ 30 represents the food sales in the first hour.If Ben has sold 4 cheeseburgers, what is the maximum value of hamburgers Ben could have sold?

Answers

Answer 1

Answer: Using the inequality
2.50x + 3.50y ≤ 30
substituting y with the number of cheeseburgers sold
2.5x + 3.5(4) ≤ 30
x = 6.4
The maximum number of hamburgers he can sell is 6

Answer 2

Answer:

Answer:

The maximum value of hamburgers is $6$

Step-by-step explanation:

Let

x-------> the number of hamburgers

y-----> the number of cheeseburgers

we know that

$2.50x+3.50y\leq 30$ -------> inequality that represent the situation

For $y=4$

substitute in the inequality and solve for x

$2.50x+3.50(4)\leq 30$

$2.50x+14\leq 30$

$2.50x\leq 30-14$

$2.50x\leq 16$

$x\leq 6.4$

The maximum value of hamburgers is $6$

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A band leader randomly selects 2 students out of 100 band members. If you and your brother are band members, what is the probability that you are bothselected?
a. 1/2500
b. 1/9900
c. 1/4950
d. 2/100
need right now please

Answers

Answer: Hello mate!

There are 100 students, and each one has the same probability of being selected, which is 1/100

The chances that the band leader selects you is 1/100

now the chances that the band leader selects your brother is one over the total number of people in the band, but you have already been selected, so there are 99 people right now in the band, this probability is of 1/99.

The joint probability of both events is the product of the probabilities, this is:

P = (1/100)*(1/99) = 1/9900

But there is also the chance where your brother is picked first and you second, which also has a probability of 1/9900.

Then the total probability of you and your brother to being selected is:

P = 1/9900 + 1/9900 = 2/9900 = 1/4950

te right option is option C.

That probability is 1/4950 .

Which of the following is true about the equation y = -5x + 10?A. The equation is proportional.

B. The equation has a positive slope.

C. The equation has a positive y-intercept.

D. The equation has a negative y-intercept.
TG

Answers

Answer:

C and most likely A

Step-by-step explanation:

A) The equation is proportional.

If the equation forms a straight line on a graph, having a slope that is neither zero or infinity, it is proportional.

B) The equation has a positive y-intercept.

The y intercept in the equation is variable b. Since the equation has +10, it is positive.

Hope this is correct and that it helps✨❤️

The function H(t) = −16t2 + 96t + 80 shows the height H(t), in feet, of a projectile after t seconds. A second object moves in the air along a path represented by g(t) = 31 + 32.2t, where g(t) is the height, in feet, of the object from the ground at time t seconds. Part A: Create a table using integers 2 through 5 for the 2 functions. Between what 2 seconds is the solution to H(t) = g(t) located? How do you know? Part B: Explain what the solution from Part A means in the context of the problem.

Answers

A.
t H(t) g(t)
2 208 95.4
3 224 127.6
4 208 159.8
5 160 192

The solution for H(t) = g(t) is in between 4 and 5 seconds.

B.
Between 4 and 5 seconds, the projectile and the second object will have the same.

Answer and Explanation :

Given : The function $H(t)=-16t^2+96t+80$ shows the height H(t), in feet, of a projectile after t seconds.

A second object moves in the air along a path represented by $g(t) = 31 + 32.2t$ , where g(t) is the height, in feet, of the object from the ground at time t seconds.

To find :

Part A - Create a table using integers 2 through 5 for the 2 functions. Between what 2 seconds is the solution to H(t) = g(t) located?

Part B - Explain what the solution from Part A means in the context of the problem.

Solution :

For Part A -

Substitute the value of t from 2 to 5 in the equation H(t) and g(t)

t $H(t)=-16t^2+96t+80$ $g(t) = 31 + 32.2t$

2 $-16(2)^2+96(2)+80=208$ $31 + 32.2(2)=95.4$

3 $-16(3)^2+96(3)+80=224$ $31 + 32.2(3)=127.6$

4 $-16(4)^2+96(4)+80=208$ $31 + 32.2(4)=159.8$

5 $-16(5)^2+96(5)+80=160$ $31 + 32.2(5)=192$

To determine the interval in which H(t)=g(t), we have to plot the equation and the table points and see the intersection.

Refer the attached figure below.

The intersection point of both the equations are (4.647,180.62)

This point lies between t at 4 to 5.

Therefore, H(t)=g(t) between t=4 to t=5.

For Part B -

The Part A shows that the projectile destroyed along the path are same in interval [4,5] and gives the solution of equation.

A teacher is having three students take care of 28 goldfish during the summer. He gave some of them to Alaina. Then he gave twice as many Miguel. He gave twice as many to Kira as he gave to Miguel. How many fish did each student get?

Answers

Answer:

Alaina got 4, Miguel got 2(4) = 8 while Kira got 2(8) = 16

Step-by-step explanation:

Let the number he gave to Alaina be x. Now, we know he gave twice as many to Miguel. Amount received by Miguel is 2x.

He gave Kira 2 times what he gave Miguel, that is 2x * 2 = 4x

Addition of all these equals 28. We now get x

4x + 2x + x = 28

7x = 28

X = 28/7

x = 4

Alaina got 4, Miguel got 2(4) = 8 while Kira got 2(8) = 16

What is the length of the altitude of the equilateral triangle below

Answers

The length of the altitude of the equilateral triangle is 9 units.

What is trigonometry?

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

The trigonometric functions, also known as circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Use the sin angle ratio and calculate,

Sine = Opposite / Hypotenuse

sin 60° = a / (6√3) But sin60° = √3/2

√3/2 = a/(6√3)

Cross multiply

2 x a = 6√3 x √3

2a = 6 x √(3 x 3)

2a = 6 x 3

a = 6 x 3/2

a = 3 x 3 = 9

Therefore, the length of the altitude of the equilateral triangle is 9 units.

To know more about trigonometry follow

brainly.com/question/30249067

#SPJ7

Using Sine.

Sine = Opposite / Hypotenuse

sin 60° = a / (6√3) But sin60° = √3/2

√3/2 = a/(6√3)

Cross multiply

2*a = 6√3 * √3

2a = 6 * √(3*3)

2a = 6*3

a = 6*3/2

a = 3*3 = 9

Option E.

Hope this helps.

X^2+2x in factored form

Answers

in factor form, take x as a common factor
x(x+2)

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