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Snezhnost [94]
2 years ago
12

Your teacher is giving you a test tomorrow with 2- and 4-point questions for a total of 100 points. The number of 4 points quest

ions is one-third the number of 2-point questions. How many 2- and 4-point questions are on the test?
Mathematics
2 answers:
Vera_Pavlovna [14]2 years ago
3 0

Answer:

25 4-point questions and 75 2-point questions

Step-by-step explanation:

Let x = no. of 4-point questions

Then 3x = no. of 2-point questions

So, x + 3x = 100

4x = 100

x = 25 =  no. of 4-point questions

and 3x =  3(25) = 75 = no. of 2-point questions

Hitman42 [59]2 years ago
3 0

Answer:

2

Step-by-step explanation:

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Find the midpoint of PQ<br><br> P(4 1/3, 3 1/6), Q(-2 1/5, 3 2/3)
Paha777 [63]

Answer:

(1\frac{1}{15},3\frac{5}{12})

Step-by-step explanation:

To find the midpoint, you must average the x's then average the y's.

So the x's are 4 \frac{1}{3} and -2\frac{1}{5}.

The y's are 3\frac{1}{6} and 3\frac{2}{3}.

To find an average of a data with 2 elements you must add the two elements then take that sum and divide it by 2.

So this is what we will do with the x's then the y's.

So first x:

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\frac{\frac{13}{3}+\frac{-11}{5}}{2}

Division by 2 is the same as multiplying by 1/2:

\frac{13}{6}+\frac{-11}{10}

The least common multiple of 6 and 10 is 30.  We will multiply first fraction by 5/5 and 3/3 for the second so we can have the same denominator.

\frac{65}{30}+\frac{-33}{30}

Now that the bottoms are the same we can write as one fraction:

\frac{65+-33}{30}

Simplify:

\frac{32}{30}

If you want the answer as a mix fraction like your question began as we can do that by first figuring out how many 30's are in 32 and what is the remainder of that division.

There is one 30 and 32 and so 32-30=2 is the remainder.

1\frac{2}{30}

Reduce by dividing top and bottom by 2:

1\frac{1}{15}

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\frac{\frac{19}{6}+\frac{11}{3}}{2}

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\frac{19}{12}+\frac{11}{6}

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Since the denominators are the same we can write as a single fraction:

\frac{41}{12}

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01: Which gives the correct order of steps needed to multiply the problem below? 83 X 39 O Multiply the ones. 8 times 39 is 312.
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Answer:

Multiply the ones. 9 times 83 is 747. Multiply the tens. 30 times 83 is 2,490. Add the products to get 3,237.

The rest of the question:

Which gives the correct order of steps needed to multiply the problem below?   "83x39 "

The steps to multiply  83x39

1) multiply the ones 9 times 83 = 9 times 3 + 9 times 80 = 27 + 720 = 747

2) multiply the tens 30 times 83 = 30 times 3 + 30 times 80 = 90 + 2400 = 2490

3) add 747 and 2490 = 747 + 2490 = 3,237

According to the previous steps, the answer is option 3

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