MATHEMATICS HIGH SCHOOL

Doug earns $10.50 per hour working at a restaurant. On Friday he spent 1 & 3/4 hours cleaning, 2 & 1/3 hours doing
paperwork, and 1 & 5/12 hours serving customers. What were
Doug’s earnings?

Answers

Answer 1
Answer: First, add all of the working hours.
1 (3)/(4) + 2 (1)/(3) + 1 (5)/(12)

Since the denominators are different, make them all the same.
1 (9)/(12) + 2 (4)/(12) + 1 (5)/(12)

Add everything together.
4 (1)/(12) + 1 (5)/(12) = 5 (6)/(12)

Then, simplify.
5 (1)/(2) or 5.5

Multiply the time by the salary.
5.5*10.5= Doug earned $57.75

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Explain how to find 40x50 using mental math

The scale factor, k, is 2. How does the size of the image relate to the pre-image?

Answers

Given a scale factor of 2, it is easy to envision a small sized shape that has been enlarged or that has been made twice the size of the original shape.

The size of the resulting image with a scale factor of 2 is twice the size of the pre-image or the original image.

Answer:

it's d on edg

Step-by-step explanation:

In 15 words or fewer, determine the number of games in which Fairlawn High scored between 15 and 36 points.

Answers

Final answer:

The number of games in which Fairlawn High scored between 15 and 36 points is 22.

Explanation:

To determine the number of games in which Fairlawn High scored between 15 and 36 points, we need to find the range of scores. If the range is inclusive of both endpoints, we subtract the lower score from the higher score and add 1. So the number of games is 36 - 15 + 1 = 22.

Learn more about Number of games with a score range here:

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What's y in: 21y=(-205) +75+47y

Answers

The Answer Is A Fraction y= 151/47
21y=−205+75+47ySimplify: (Show steps)21y=(47y)+(−205+75)(Combine Like Terms)21y=47y+−13021y=47y−130Step 2: Subtract 47y from both sides.21y−47y=47y−130−47y−26y=−130Step 3: Divide both sides by -26.‌−26y−26‌=‌−130−26‌y=5

Line AB contains points A (1, 2) and B (−2, 6) The slope of line AB is a)zero
b)undefined
c)positive
d)negative


The equation of line CD is (y−3) = − 2 (x − 4). What is the slope of a line perpendicular to line CD?
Line CD contains points A (4, 6) and B (−2, 6). The slope of line CD is
Line QR contains (2, 8) and (3, 10) Line ST contains points (0, 6) and (−2, 2). Lines QR and ST are
The equation of line QR is y = negative 1 over 2x + 1. Write an equation of a line perpendicular to line QR in slope-intercept form that contains point (5, 6).
The equation of line CD is y = −2x − 2. Write an equation of a line parallel to line CD in slope-intercept form that contains point (4, 5).

Line QR contains (2, 8) and (3, 10) Line ST contains points (0, 6) and (−2, 2). Lines QR and ST are

parallel because the product of the slopes is −1

perpendicular because the product of the slopes is −1

parallel because the slopes are the same

perpendicular because the slopes are the same



Question 2

(06.02 LC)

The equation of line CD is (y−3) = − 2 (x − 4). What is the slope of a line perpendicular to line CD?

1 over 2

2

negative 1 over 2

−2



Question 3

(06.02 LC)

Line CD contains points A (4, 6) and B (−2, 6). The slope of line CD is

zero

undefined

positive

negative



Question 4

(06.02 MC)

The equation of line QR is y = negative 1 over 2x + 1. Write an equation of a line perpendicular to line QR in slope-intercept form that contains point (5, 6).

y = 2x + 16

y = negative 1 over 2x + 17 over 2

y = − 1 over 2x + 7 over 2

y = 2x − 4



Question 5

(06.02 MC)

The equation of line CD is y = −2x − 2. Write an equation of a line parallel to line CD in slope-intercept form that contains point (4, 5).

y = −2x + 13

y = negative 1 over 2x + 7

y = 1 over 2x + 3

y = − 2x − 3

Answers

On the first question, the formula would be  m=\frac{y2-y1}{x2-x1} and the value we got is -4/3, so D.
On the second quesiton, the slope in the given equation of the line is -2, its negative reciprocal is 1/2, so A.
On the third question, use the slope formula above and the value you would get is zero, so A.
On the fourth question, the equation of the line perpendicular to line QR is y=2x+b, to find b, just substitute the point (5,6) to the equation. That would make b = -4. the final equation of the line would be: y=2x-4, so D.
On the fifth question, the equation of the line parallel to line QR is y = -2x + b. substitute the point (4,5) to the equation, and you'll get b = 13. the final equation of the line would be y=-2x+13, so A.

Answer:

the answers to all of the questions are D,A,A,D,A

Step-by-step explanation:

Rhea has two cardboard boxes in the shape of rectangular prisms. Each box has the same height and cross-sectional area as the other. Which of the following best describes the relationship between the boxes according to Cavalieri's principle?A. The boxes are congruent.
B. The surface areas of the boxes are the same.
C. The base of each box has the same perimeter as the other.
D. The volumes of the boxes are the same.

Answers

Answer:

Option D) The volumes  of the boxes are the same.

Step-by-step explanation:

Given that Rhea has two cardboard boxes in the shape of rectangular prisms. Each box has the same height and cross-sectional area as the other.

Since we are given height and cross sectional area are the same, we see that the bases have same area.   The dimensions need not be congruent.

Hence the boxes need not be congruent

Surface area also need not be congruent since length, width may differ for each prism

The area is the same need not imply perimeter is the same.

Hence only option d) The volumes of the boxes are the same.

is the right answer.
Option D. The volume of the boxes are the same.

The formula for the volume of a prism is the area of the base times the height.

Evaluate the expression 7×18+45÷3×2

Answers

Answer:

156

Step-by-step explanation:

7 * 18 = 126

126 +45 / 3 * 2

45 / 3 = 15  * 2 = 30

126 + 30 = 156

Answer:

156

Step-by-step explanation:
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