What is the value of 5.7 × 108?a. 5,700,000,000
b. 5.70000000
c. 570,000,000
d. 57,000,000 User: Which of the following has a value of 84?
a. 83
b. 512
c. 4,096
d. 32 User: What is the prime factorization of 1,260?
a. 2 × 3 × 5 × 6 × 7
b. 2 × 3 × 5 × 7
c. 4 × 5 × 7 × 9
d. 2 × 2 × 3 × 3 × 5 × 7 User: Which of the following is a composite number?
a. 139
b. 29
c. 91
d. 13

Answers

Answer 1
Answer: The value of 5.7 x 10⁸ is 570,000,000 CHOICE C.

The value of 8⁴ is 8 * 8 * 8 * 8 = 4,096 CHOICE C.

Prime factorization of 1,260

1260 ÷ 2 = 630
  630 ÷ 2 = 315
  315 ÷ 3 = 105
  105 ÷ 3 =  35
    35 ÷ 5 =    7

2 x 2 x 3 x 3 x 5 x 7 CHOICE D.

Composite numbers are numbers that have more factors other than 1 and itself.

91 / 1 = 91
91 / 7 = 13      CHOICE C. 91 is a composite number.

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There are a total of 30 white and black marbles in a box. There are 14 more white marbles than black marbles. How many black marbles are in the box?​

Answers

Answer:

16

Step-by-step explanation:

30-14=16

Final answer:

The box contains 8 black marbles.

Explanation:

The question is asking about a box containing a total of 30 marbles, with the white marbles numbering 14 more than the black ones. So, we can first create an equation which equates the total number of marbles (30) to the sum of the black marbles and the white marbles. Let's denote the number of black marbles as B. The number of white marbles can then be expressed as B + 14.

Therefore, the equation would be: B + (B + 14) = 30, simplifies to 2B + 14 = 30.  

To solve for B, subtract 14 from both sides of the equation so you have 2B = 16. Now, divide each side by 2 to solve for B, which gives us B=8.

Therefore, there are 8 black marbles in the box.

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Can a genius help me with this question? Am stuck on this question and show your working please.1. Calculate the circumference of a circle with a radius of 3cm.

2. A circle with a radius of 10cm has a circumference of...?

3. Calculate a circumference of a circle with a diameter of 13cm.

4. A circle has a diameter of 9.5cm.What is the distance around the circle?


How do you calculate the circumference of a circle?

When would you use 2nr?

When would you use nd?

Come up with your own examples(at least two) to show how to calculate the circumference of a circle.

Answers

1. The circumference of a circle is 2πr, and when we plug in 3 for r, we get 6π.

2. We'll use the same formula and plug in 10 for r, giving us 20π.

3. The formula we use in this case is πd, and when we plug in 13 for d, we get 13π.

4. Same formula from 3, we plug in 9.5 for d and get 9.5π.

5. You can calculate the circumference of a circle using 2 formulas, C=2πr (where r=radius and C=circumference) and C=πd (where d=diameter and C is circumference).

6. You use 2πr when the radius is given.

7. You use πd when the diameter is given.

8. 2 examples could be to use the 2 formulas.

Mr Morris earns $3500 per month. He deposits 2/7 of his salary every month. How much money will he deposit in 5 month.

Answers

5000, take 3500 multiplied by 2/7 to find the amount of money deposited per month which is 1000 then multiply it by 5 to find the deposit over 5 months
3500 x 2/7= 1000
1000 x 5 = 5000

He will deposit $5000 in 5 months

6Which line has the steeper slope?
Line
4
has a steeper slope.
Line A
N
Line B
X
-6
4
-2.
2
4
6
-2
4
-6

Answers

Line A has a slope of 4/3
Line B has a slope of 4/2
The answer is Line B

Final answer:

The steeper line is determined by comparing the slopes of the two lines. The line with the larger slope value is the steeper line. However, the actual slopes of Line A and Line B in the question are not provided.

Explanation:

From the question, it seems like there are two given lines - Line A and Line B but no specific data is provided about their slopes. Therefore, with the information given, we can't determine which line has the steeper slope. Essentially, the steeper line would be the one with the higher slope value when represented in the form: y = mx + c, where 'm' is the slope. For instance, if Line A had an equation of y = 2x +1 and Line B an equation of y = 4x + 1, Line B's slope is steeper because it has a larger 'm' value compared to Line A.

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Find the LCM of the following by listing their multiples 5 ,10 ,15​

Answers