MATHEMATICS HIGH SCHOOL

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10x – 3 = 8x + 5

Answers

Answer 1
Answer:

Answer:

x =4

Step-by-step explanation:

10x – 3 = 8x + 5

Subtract 8x from each side

10x-8x – 3 = 8x-8x + 5

2x-3 =5

Add 3 to each side

2x-3+3 =5+3

2x= 8

Divide by 2

2x/2 =8/2

x =4

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Need help with a problem. For some reason I can not seem to get it correct. Thinking my formula is wrong. Here's the problem:Assume that there are approximately 140x10^9 stars in our galaxy.
Our galaxy is 50,000 light years from the center to the edge, but just 1,000 light years thick. It's shaped like a thin disk or cylinder. If the stars were distributed equally throughout the galaxy, how many stars would you expect to find in one cubic light year?

I thought it would be Pi*r^2*l. Then divide that by the number of stars. What am I doing wrong? Thanks, been 20 years since I had to do math like this!

Answers

r=50,000\text{ ly}=5\cdot10^4\text{ ly}\nh=1,000 \text{ ly}=10^(3)\text{ ly}\n V=\pi r^2h\n\n V=\pi \cdot(5\cdot10^4)^2\cdot10^3\nV=\pi \cdot25 \cdot10^8 \cdot10^3\n V=2.5\pi\cdot10^(12) \text{ ly}^3\n\n(140\cdot10^9)/(2.5\pi\cdot10^(12))=\n(1.4\cdot10^(11))/(2.5\pi\cdot10^(12))=\n0.56\pi\cdot10^(-1)=\n5.6\pi\cdot10^(-2)\approx1.76\cdot10^(-1)

3. Teesha is in french club. there are 19 students in the club. The french teacher will pick two students at random to guide visiting students from France. What is the probability that Teesha will not be picked up as a guide. A. 2/19
B. 17/19
C. 1/18
D. 18/19

Answers

I think the answer is D! Hope that helps! Let me know if I’m wrong tho!!!

Find the ordered pairs for the x- and y-intercepts of the equation 5x − 6y = 30 and select the appropriate option below. (5 points)

Answers

x intercepts is (6,0) and y intercepts is (0,-5)

8-m/7=18 ................

Answers

Answer:

m= -84

Step-by-step explanation:

Step 1- Multiply both sides by 7

42-m= 126

Step 2- Move constant to the right hand side and change its sign

-m= 126-42

Step 3- Subtract the numbers

-m= 84

Step 4- Change the signs on both sides of the equation

m= -84

If 15% of days are sunny and the rest are rainy, what is the ratio of sunny days to rainy days

Answers

Then it would be 85:15.

Use the distributive property to remove the parentheses.
4(x+8)​

Answers

Answer: 18+6w

Step-by-step explanation:

Answer:

4(x+8)

4x+32

4 x X = 4x     4 x 8 = 32      

Step-by-step explanation:
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