MATHEMATICS HIGH SCHOOL

2. Consider the numbers 4/13 and 3/10 .a. Compare the numbers.
b. Find a rational number between the two given numbers

Answers

Answer 1
Answer: Set the denominators equal to each other. 4/13 becomes 40/130 and 3/10 becomes 39/130. Therefore, 3/10 is slightly less. A number in between would be 39.5/130 which is equivalent to 79/260

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The Smiths are sending out a batch of holiday cards. Emily signed 2/5 of the cards. Then Josh signed 1/9 of the remaining cards. Tatiana signed 20% of what Josh had left. If there were 75 cards in all, how many cards are left to be signed? There are____ cards yet to be signed.

Answers

There are 32 cards left

Answer:

32

Step-by-step explanation:

start with 75 cards.  Emily did 2/5 of the 75 cards = 30 cards (75 divided by 5 times 2)

75-30=45 cards

Josh signed 1/9 which you have to convert to irregular fraction (45 divided by 9 =5) so 45-5=40 left

Of those left Tatiana completed 20% (40*.20=8)

so 40-8=32

Solve the equation: 12y = 132. A. y = 11
B. y = 11/12
C. y = 144
D. y = 1/11
C

Answers

The clue to solve equations is that you can perform operations on both sides aiming to let the variable alone. For example, you can add or subtract a term as long as you do it to both sides of the equality. In this case, the variable y has 12 as coefficient, then to eliminate this coefficient you divide both sides by 12, and so you get:(12y)/12 = 132/12 => y = 11 (because 12/12 = 1 and 132/12 = 11. Then, the answer is the option A, y = 11

Which expression could be substituted for y in the second equation to find the value of x?2x - y = - 10
2x - 3y = 1​

Answers

Answer:

x=31/4,y=−11/2

Kelly and 23 friends go roller skating.They pay a total of 186 dollars. About how much does it cost  for one person to skate?

Answers

You need to figure out the unit rate so you need to:
1. divide 186 by 23= 8.08695....
2. You only need to figure out the answer to the hundredth of a percent so you would round and get $8.09
3. The answer is $8.09
To do this first you must find the total number of people 23+1=24 so there are 24 people they paid 186 total divide this by 24 and you get 7.75 so each skate cost $7.75

More than 200,000 people worldwide take the GMAT examination each year as they apply for MBA programs. Their scores vary normally with mean about u= 525 and standard deviation about sigma= 100. One hundred students go through a rigorous training program designed to raise their GMAT scores. Test the hypotheses. H sub 0: u= 525. H sub A: u > 525Answer the following question based from the given stated.
a) The students' score is x = 541.4. Is this result significant at the 5% level? b) The average score is x = 541.5. Is this result significant at the 5% level? c) What conclusions may you draw by comparing the answers to parts a and b?

Answers

For letter a
z= (x-u)/(SD √(n) ) \n z= (541.4-525)/(100 √(100) ) \n z=1.64
Looking up z=1.64, its equivalent is 0.4495
∈=0.5+0.4495
∈=0.9495
As 0.95>0.9495, we cannot reject the null hypothesis, and the result is not significant.
b.)Z= ((mean-u)SD)/( √(n) ) \n Z= ((541.5-525)100)/( √(100) ) \n Z=1.65
Looking it up, P(Z>1.65)=0.0505. The result is not significant.
c. The p values are larger than the accepted level of 0.05, which is why the null is rejected. As we cannot reject the null, it is to be accepted that the mean score is 525. This then requires more statistical testing to be done to prove the null.

What is the answer to 2c-5=c+4

Answers

2c-9=c
-9=-c
9=c
Hope that helps!

Answer:

c=9

Step-by-step explanation:

first we need to balance the equation out we can do this by getting rid ofa c on both sides.

c-5=4

then we need to get rid of the 5. we do this by adding it.

c=9
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