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kaheart [24]
2 years ago
5

Which of the statements below is true for the following set of numbers? 42,10,36,51,70,28

Mathematics
2 answers:
strojnjashka [21]2 years ago
6 0

Answer:

What are the statements?

Sveta_85 [38]2 years ago
6 0
  1. They are whole Numbers
  2. They are rational Numbers
  3. They are real Numbers

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Which of the following is equivalent to the expression below sqrt 8 - sqrt 72 + sqrt 50
mash [69]

Answer:

Step-by-step explanation:

\sqrt{8}-\sqrt{72}+\sqrt{50} These cannot combine the way they are. The rule for adding and subtracting radicals is really picky. Not only does the index have to be the same (the little number that is sitting outside in the bend of the radical {ours is a 2, which isn't usually there, but is instead understood to be a square root}), but the radicand, the expression under the square root (or cubed root, or fourth root, etc) has to the same as well. All of our radicals are square roots, so that's good, but the radicands are all different. The first one is an 8, the next one is a 72, and the last one is a 50. BUT if we can rewrite them by simplifying them and then the radicands are the same, we're in good shape.

Simplify by taking the prime factorization of each of those numbers.

8: 4*2 and 4 is a perfect square, so we'll stop there

72: 36*2 and 36 is a perfect square, so we'll stop there

50: 25*2 and 25 is a perfect square, so we'll stop there.

Now, rewrite each one of them in terms of their prime factorization:

\sqrt{4*2}-\sqrt{36*2}+\sqrt{25*2} and then pull out each perfect square as its root:

2\sqrt{2}-6\sqrt{2}+5\sqrt{2} and now all the radicands are the same, so we can add them to get

1\sqrt{2}  or simply  \sqrt{2}

6 0
2 years ago
Read 2 more answers
If two lines are parallel which statement must be true? A.Their slopes are zero. B.Their slopes are negative reciprocals. C. The
stepan [7]

Answer:

D

Step-by-step explanation:

Parallel lines have the same gradient.

A line with a slope of zero is a horizontal line. Although two lines that have a slope of zero will result in two parallel lines, not all parallel lines are horizontal lines. Since the question is asking for which statement <u>must</u> be true, option A is incorrect.

If the slopes of two lines are negative reciprocals, they are perpendicular to each other. This is because the product of the gradients of 2 perpendicular lines is -1. Let the gradient of the first line be A and the other be B.

AB= -1

A =   - \frac{ 1}{B}

B =  -  \frac{1}{A}

Thus, option B is incorrect too.

Undefined slopes gives vertical lines. Like option A, if two lines have an undefined slope, they will be parallel to each other. However since parallel lines are nit necessarily vertical lines, option C is also incorrect.

4 0
2 years ago
Read 2 more answers
Antonio uses a calculator to find 38 minus StartFraction 44 minus 16 over 4 EndFraction and gets a result of –10. Which statemen
frozen [14]

Answer:

The second statement is Correct.

Step-by-step explanation:

Consider the provided information.

It is given that Antonio uses a calculator to find 38-\frac{44-16}{4} and gets a result of –10.

38-\frac{44-16}{4}=38-\frac{28}{4}

=38-7

=31

So, the first statement is incorrect.

2nd statement: Antonio found the answer for 38-44-\frac{16}{4}

38-44-\frac{16}{4}=-6-4

38-44-\frac{16}{4}=-10

The second statement is Correct.

Third statement: Antonio found the answer for \frac{38-44-16}{4}

\frac{38-44-16}{4}=-5.5

So, the third statement is incorrect.

Fourth statement: Antonio found the answer for 38+\frac{44-16}{4}

38+\frac{44-16}{4}=38+7

38+\frac{44-16}{4}=45

So, the fourth statement is incorrect.

Hence, the second statement is Correct.

5 0
3 years ago
Read 2 more answers
The ratio of boys to girls in the classroom is 12:25 if there are 120boys how many girls are there​
Ann [662]
Call x is the number of girls in the classroom.
12/120 = 25/x
x = 120*25/12
x=250
Answer 250 girsl
8 0
2 years ago
Read 2 more answers
P- 24/n = 30/100<br><br> What’s N?<br><br> Z- n/4 = 18/72<br><br> What’s N?
Vilka [71]

Answer:

Z: n = 1 P: n =80

Step-by-step explanation:

cross multiple what you can and divide it by the last number left to find n

8 0
3 years ago
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