MATHEMATICS HIGH SCHOOL

Solve for X
126°
3x

Vertical angles
Solve for X 126° 3x Vertical angles - 1

Answers

Answer 1
Answer:

Answer:

42

Step-by-step explanation:

simply divide 126 by 3
Answer 2
Answer: 3x = 126
X = 42

Vertical angles are congruent :)

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Stephanie took a science exam that had two parts. Part 1: She got 16 questions correct, which was 45 of the number of part 1 questions. Part 2: She got 16 questions correct, which was 23 of the number of part 2 questions. What was the total number of questions on Stephanie's exam?

Answers

Given :

Stephanie took a science exam that had two parts. Part 1: She got 16 questions correct, which was 4/5 of the number of part 1 questions. Part 2: She got 16 questions correct, which was 2/3 of the number of part 2 questions.

To Find :

The total number of questions on Stephanie's exam.

Solution :

Let, number of questions in Part 1 is x :

16=(4)/(5)x\n\nx=20

Let, number of questions in Part 2 is y :

16=(2)/(3)y\n\ny=24

Therefore, total number of questions on Stephanie's exam are 20 + 40 = 60.

Hence, this is the required solution.

Convert 6.42 kilograms to grams.

0.00642 g
64.2 g
642 g
6,420 g

Answers

1 kilogram (kg) equals to 1000 grams (g). Since you have 6.42 kilograms, divide 6.42 kilograms to 1000 grams. Your final answer is 6420 grams in total.

Answer: 6420 grams

Step-by-step explanation:

I need to know how to do the work for this problem! I'm so stuck please help!

Answers

Mean = $65.85
S.D. = $36
For 1 s.d.: 65.85 - 36 ≤ x ≤65.85 + 36 => 29.85 ≤ x ≤ 101.85
But $25.60 and $126.40 does not fall within 1 standard deviation.
Therefore, all the prices fall within 2 standard deviations.

Mean = (146 + 189 + 246 + 178 + 203)/5 = 192.4
S.D. = sqrt[(146 - 192.4)^2 + (189 - 192.4)^2 + (246 - 192.4)^2 + (178 - 192.4)^2 + (203 - 192.4)^2] = 73.2
For 1 S.D.: 192.4 - 73.2 ≤ x ≤ 192.4 + 73.2 => 119.2 ≤ x ≤ 265.6
All the weight falls within 1 standard deviation of the mean.

An aluminum can is a right cylinder. Find the amount of paper needed for the can's label and the totalamount of aluminum needed to make the can. Round to the nearest tenth.
7 cm
12 cm
The amount of paper needed for the can's label is
1 cm?
The total amount of aluminum needed to make the can is
cm?
Please help put a bunch of points for this question do

Answers

Answer:

Label: About 527.9 square centimeters

Aluminum: About 835.7 square centimeters

Step-by-step explanation:

Amount of paper needed for the label:

You can imagine taking off the label and unrolling it, forming a rectangle. The height of this rectangle will be the height of the cylinder, while the length of the rectangle will be the circumference of the cylinder. Therefore, the area of that rectangle will be 2\pi r h= 2 \cdot \pi \cdot 7 \cdot 12\approx 527.9.

Amount of aluminum needed for the can:

This time, you need to add in the top and bottom of the can as well, which each have area \pi r^2. Together, they have area 2\pi r^2=2\cdot \pi \cdot 7^2\approx 307.9. Adding this to the area of the sides, you get a total of about 835.7 square centimeters.

Hope this helps!

Katie has a cube with an edge length of3 inches. Malea has a cube whose volume is 8
times greater than the volume of Katie's cube.
What is the length of Malea's cube?

Answers

Answer:

3 x 8 = ____16____

Step-by-step explanation:

8+8+8= 16 or 3+3+3+3+3+3+3+3= 16

Hope this helps :)

Answer:

3 x 8 = ____16____

Step-by-step explanation:

8+8+8= 16 or 3+3+3+3+3+3+3+3= 16

Step-by-step explanation:

Please help 50 pointsPart A: Explain why the x-coordinates of the points where the graphs of the equations y = 4–x and y = 2x + 3 intersect are the solutions of the equation 4–x = 2x + 3. (4 points)

Part B: Make tables to find the solution to 4–x = 2x + 3. Take the integer values of x between −3 and 3. (4 points)

Part C: How can you solve the equation 4–x = 2x + 3 graphically? (2 points)

Answers

Hi There! :D

Part A) you have the equations of two lines: y = 4-x and y = 2x + 3 If a point is on the first line AND that same point is on the other line, then the point must be at the intersection (where the lines cross). the y value of this point will be BOTH 4-x and 2x+3. In other words 4-x= 2x+3

part C) graph the two lines y = 4-x and y = 2x + 3 and see where they intersect. That is, pick out the (x,y) pair that is on both lines.
Part A:To find the point where the two lines intersect, you must find the common point (x). To find this, you must set the two equations equal to each other.
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