How can you tell if a number is divisible by 3? A. The last number is 3.   B. The sum of the digits of the number is a multiple of 3.   C. The first two digits are divisible by 3.   D. The number ends in an odd digit.

Answers

Answer 1
Answer: The correct answer is B. Try it out with the following number: 312, 1893, 255, 344, 232. Two of the or not divisible by 3 by the way.
Answer 2
Answer: B is correct. Also, if you have a number such as 876543 and add the digits, it is 33. If you did not know this was divisible by three, you could add 3+3 and get 6, which is divisible by three, making 876543 divisible by three.

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Ray UW is the angle bisector of VUT. If mVUW = (4x + 6)° and mWUT = (6x – 10)°, what is the measure of WUT?
32°
38°
48°
76°

Answers

In the question "Ray UW is the angle bisector of VUT. If mVUW = (4x + 6)° and mWUT = (6x – 10)°, what is the measure of WUT?" It was given that UW is the angle bisector of VUT, which means that mVUW = mWUT. i.e. 4x + 6 = 6x - 10 6x - 4x = 6 + 10 2x = 16 x = 8 Therefore, the measure of WUT = 6x - 10 = 6(8) - 10 = 48 - 10 = 38

Answer:

B

Step-by-step explanation:

38

Put the inequality in standard form and enter it below.

60 < x + 8

Answers

I added a picture showing the equation.
the answer is 52 because subtract 8 from 60.

Maggie by 3/4 pound of blueberries and uses 3/5 of them to make a smoothie how many pounds of blueberries did Maggie use to make the smoothie​

Answers

Answer:

3/4=0.75

Step-by-step explanation:

3/4 is equal to .75  

S is a three-digit number. Determine the digits of S from the clues. All the digits are odd. The last two digits add to make ten. The first and last digits add to make eight. The first two digits add to make twelve.

Answers

573
5 + 7 = 12
7 + 3 = 10 
5 + 3 = 8
573 satisfies every requirement, which are all digits are odd( 5,7,and 3), next is last two digits add up to 10( 7+3=10), then first and last digits add up to 8 ( 5+3=8),and last but not least the first two digits add up to 12 ( 5+7=12). So the 3 digits must be 573.

Quadrilateral GHIJ is similar to quadrilateral KLMN. Find the measure ofside LM. Round your answer to the nearest tenth if necessary.

Answers

Answer:

LM = 24.3

Step-by-step explanation:

In terms of similar shapes, we know that the ratio of the value of one side to its corresponding side value is equal to another. In other words, we know that LK and HG are corresponding sides by looking at the quadrilaterals. The ratio of LK to HG is equal to the ratio of another pair of corresponding sides, such as LM and IH.

Therefore, the ratio of LK and HG (LK/HG) is equal to the ratio of LM and IH (LM/IH) . Make sure to keep the same quadrilateral's sides on top/bottom. In this example, LM and LK are on the same quadrilateral, and are therefore both on top. Similarly, IH and HG are of the same quadrilateral and are both on bottom. We can write this as

LK / HG = LM / IH

34/7 = LM / 5

Multiply both sides by 5

34*5/7 = LM

LM ≈ 24.2857

Rounding to the nearest tenth, LM = 24.3

Answer:

24.3

Step-by-step explanation:

A number is chosen at random from the positive, even integers from 2 to 50. Find the probability that the number chosen is divisible by 5 or 8. 1/25

2/5

11/25

Answers

There are 25 even integers between 2 and 50 (2,4,6,...,50).
Among them, there are 5 numbers divisible by 5 (10,20,30,40,50), 6 divisible by 8 (8,16,24,32,40,48), and 1 divisible by 5 and 8 simultaneously (40).

The last means these two events are not mutually exclusive. So, if

A - the event of choosing a number divisible by 5,
B - the event of choosing a number divisible by 8,

the probability of choosing a number divisible by 5 or 8 is equal to
P(A\cup B)=P(A)+P(B)-P(A\cap B)

So,
P(A\cup B)=(5)/(25)+(6)/(25)-(1)/(25)\nP(A\cup B)=(10)/(25)\n\boxed{P(A\cup B)=(2)/(5)}