MATHEMATICS HIGH SCHOOL

Which of the following statements are mathematical statement? P: Math is not hard.
Q: Bill Gates is the founder of Microsoft.


A. P only

B. Q only

C. P and Q

D. None

Answers

Answer 1
Answer:

Answer:

a is the right answer atleast that's what I think
Answer 2
Answer:

Answer:

D.

Step-by-step explanation:

neither of these is a mathematical statement. P only mentions the word math and Q has nothing to do with math.

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Triangle PQR has vertices P(0, 0), Q(3, 4), and R(3, 0). If triangle PQR is rotated 180° about the origin, what is the length of side P'Q'?

Answers

Answer:

The length of P'Q' is 4 units

The length of P'R' is 3 units

Step-by-step explanation:

If you rotate the figure 180° then the vertex would be R, and from P to Q is 3 units left and 4 units down

Final answer:

To find the length of side P'Q' after rotating triangle PQR 180° about the origin, we need to find the distance between the points P'(0,0) and Q'. When you rotate a point (x, y) 180° about the origin, the new coordinates are (-x, -y). Using the distance formula, we can find the length of side P'Q': d = sqrt((-3-0)^2 + (-4-0)^2) = sqrt(9 + 16) = sqrt(25) = 5. Therefore, the length of side P'Q' is 5 units.

Explanation:

To find the length of side P'Q' after rotating triangle PQR 180° about the origin, we need to find the distance between the points P'(0,0) and Q'.

When you rotate a point (x, y) 180° about the origin, the new coordinates are (-x, -y).

So, the coordinates of point Q' would be (3, 4) rotated 180°, which is (-3, -4).

Using the distance formula, we can find the length of side P'Q':

d = sqrt((-3-0)^2 + (-4-0)^2) = sqrt(9 + 16) = sqrt(25) = 5.

Therefore, the length of side P'Q' is 5 units.

Learn more about rotating triangles here:

brainly.com/question/16631420

#SPJ2

You are going to the movie theater with your parents and your 8 year-old brother. Adult tickets cost $8, ages 10 -18 cost $7.25 and under age 10 cost $4.25. If you spent an additional $20 on soda and popcorn, what is the total cost of your trip to the movie theater

Answers

total cost = 47.25 if your age is between 10 - 18

Answer:

The answer is $47.50

Step-by-step explanation:

All you have to do is add up the price of each person attending with what age price for each and then add the additional $20 for the sodas and popcorn.

Two parents = 8.00 + 8.00 = $16.00

"You" would most likely be student price, so.. = $7.25

And 8 year-old little brother is under 10, so.. = $4.25

Adding up those three prices we get $27.50, now all to do is add the additional drinks and snacks price. 27.50 + 20.00 = $47.50

Which of these is a simplified form of the equation 7p 4 = − p 9 2p 3p? 13p = 13 3p = 5 7 = 4 11 = 15

Answers

Answer:

  • \boxed{\sf{3p=5}}

Step-by-step explanation:

To find:

  • The value of p

Given:

  • 7p + 4 = −p + 9 + 2p + 3p

\sf{7p+4=-p+9+2p+3p}

Isolate the term of p, from one side of the equation.

Combine like terms.

\rightarrow \sf{7p+4=-p+2p+3p+9}

Add the numbers from left to right.

-p+2p+3p=4p

7p+4=4p+9

Then, you subtract by 4 from both sides.

\sf{7p+4-4=4p+9-4}

Solve.

7p=4p+5

Subtract by 4p from both sides.

7p-4p=4p+5-4p

Solve.

\boxed{\sf{3p=5}}

Divide by 3 from both sides.

3p/3=5/3

Solve.

p=5/3

Divide is another option.

5/3=1.6666

So, the final answer is 3p=5.

I hope this helps, let me know if you have any questions.

Dion calculated the plane’s time to fly to another country. He calculated the plane flying at a rate of 600 miles per hour . How long will it take the plane to travel 6,300 miles?

Answers

Answer: 10.5h

Step-by-step explanation:

All we have to do is divide the number of miles by the miles per hour:

6300/600=10.5 h

There are 2,100 bacteria in a circular petri dish. The dish has a radius of 40 millimeters. What is the approximate population density? (Use 3.14 for π)

Answers

A petri dish is simply a circle; thus, we use the formula of the area of the circle which is πr^2. 
Given r = 40 mm
A = π(40)^2 = 5026.55 sq. mm

Population density = bacteria count / area
PD = 2,100 / 5026.55
PD = 0.417782 bacteria / mm sq.

Therefore, the answer is approximately 0.418 bacteria per square millimeter.
Determine the area of the circular petri dish through the equation, A = πr^2. Substituting the radius to the equation and solving for area gives, 5024 mm^2. The population density is obtained by dividing the population with the calculated area. Thus, the population density is approximately 0.418 bacteria per mm^2. 

How are fraction and decimals related

Answers

They are both parts of a whole
Fractions and decimals are simply two different ways of expressing a number. A fraction expresses a number in the form of two other numbers, where the top number in the fraction is being divided by the bottom number. ie. if the fraction was written as x/y, then the fraction would be expressing the number x divided by the number y. A decimal, on the other hand is an expression of a number in a more traditional form, in one single line of numbers, with a decimal point preceeding all of it. To convert a fraction to a decimal, we do what the fraction says, in that we divide the top number by the bottom number. For example, the fraction 3/4 (3 quarters) = 0.75, as 3 divided by 4 = 0.75. The reason we use fractions and dont just make everything a decimal, is that sometimes it is easier to calculate something or express a number using a fraction. For example, when working with irrational numbers, the decimal is actually infinite, so it is impossible to write as a decimal and be 100% accurate, however if written as a fraction, it can be expressed exactly. For example the fraction 1/3 = 0.333333 where the 3s continue forever :))
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