In a factory there are three polishing machines, A, b, and C. when all three of them are working, 5700 lenses can be polished in one week. When only A and B are working, 3400 lenses can be polished in one week. When only B and c are working, 4200 lenses can be polished in one week. How many lenses can be polished in a week by each machine?

Answers

Answer 1

Answer: It would be answer B

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I have SAT's tomorrow and need help with math... Antonina needs to have worked at least 90 volunteer hours to graduate. She has already volunteered with a housing organization over the summer for 52 hours. Antonina needs to tutor after school for 3 hours per week to complete the remainder of her volunteer hours. If w is the number of weeks that Antonina needs to tutor in order to complete her volunteer hours, which of the following inequalities best models the situation described above?

Answers

Answer:

3w + 52 ≥ 90

Step-by-step explanation:

If she volunteers 3 hours per week for w weeks, then the number of hours from tutoring is 3w. Add the 52 hours from her summer volunteering, and her total hours is 3w + 52. This needs to be at least 90 hours for her to graduate, so:

3w + 52 ≥ 90

Write an equation of the line below.

Answers

Answer: y = -2x+3

Explanation

The two marked points on the blue line are (0,3) and (5,-7)

Use the slope formula.

$\text{Given Points: }(x_1,y_1) = (0,3) \text{ and } (x_2,y_2) = (5,-7)\n\nm = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\n\nm = \frac{\text{y}_(2) - \text{y}_(1)}{\text{x}_(2) - \text{x}_(1)}\n\nm = (-7 - 3)/(5 - 0)\n\nm = (-10)/(5)\n\nm = -2\n\n$

The slope is -2.

A slope of -2 or -2/1 means "down 2, right 1".

Following this motion pattern has us go from (0,3) to (1,1) to (2,-1) to (3,-3) to (4,-5) to (5,-7) and so on.

The y intercept is 3 as this is where the blue line crosses the y axis.

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We found the following

m = -2 = slope

b = 3 = y intercept

The template y = mx+b updates to y = -2x+3 which is the final answer.

The cost for a package of five plain T-shirts is $11.35. If c represents the cost of each individual T-shirt, the equation 5c = 11.35 can be used to find the value of c. Solve for c.

Answers

Answer:

Its actually 2.27

Step-by-step explanation:

five t-shirts in a pack for 11.35$. 11.35$ / 5 shirts = 2.26$ per shirt

The surface area of a prism is 125 in2. Which statements are true about the same prism measured in square feet?

Choose all answers that are correct.

A. The number representing the surface area would decrease.

B. The number representing the surface area would increase.

C. The actual surface area would decrease.

D. The actual surface area would increase.

E. The actual surface area would stay the same.