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3 years ago

Which of the following groups of numbers are all prime numbers?

Mathematics

1 answer:

Ipatiy [6.2K]3 years ago

6 0

The answer is B because all prime numbers are multiplied by one.

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What is a three digit number thats an odd multiple of three and the product of its digits is 24 and is larger than 15 squared?

Reika [66]

The only way 3 digits can have product 24 is
1 x 3 x 8 = 241 x 4 x 6 = 242 x 2 x 6 = 242 x 3 x 4 = 24
So the digits comprises of 1,3,8 or 1,4,6, or 2,2,6, or 2,3,4
To be divisible by 3 the sum of the digits must be divisible by 3.
1+ 3+ 8=12, 1+ 4+ 6= 11, 2 +2 + 6=10, 2 +3 + 4=9Of those sums of digits, only 12 and 9 are divisible by 3.

So we have ruled out all but integers whose digits consist of1,3,8, and 2,3,4.

Meanwhile they must be odd they either must end in 1 or 3.
The only ones which can end in 1 are 381 and 831.

The others must end in 3.

They must be greater than 152 which is 225. So the

First digit cannot be 1. So the only way its digits can contain of1,3,8 and close in 3 is to be 813.

The rest must contain of the digits 2,3,4, and the only way they can end in 3 is to be 243 or 423.
So there are precisely five such three-digit integers: 381, 831, 813, 243, and 423.

7 0

3 years ago

Plzzz help!!!!!!<br> Write y=-3/5x -2 in standard form using integers.

Delicious77 [7]

That is the answer , i looked it up for you my self :)

7 0

3 years ago

Read 2 more answers

Graph the data. Then find and interpret the slope of the line through the points.

denpristay [2]

Answer:

4. The slope is 1.5 pages per minute

The interpretation is 1.5 pages takes 1 minute to complete

5. The slope is 135 Calorie per mile

The interpretation is 135 calories of energy is required or used in traveling a distance of 1 mile

Step-by-step explanation:

4. The given data are;

Minutes, x; 0, 1, 3, 5

Pages, y; 0, 1.5, 4.5, 7.5

The graph of the data created with MS Excel is included

From the graph, we have;

The slope is given by the rate of change of the y-values to the change in the x-values of the data

∴ Slope = Δy/Δx

$The \ slope =\dfrac{\Delta y }{\Delta x} = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}} = \dfrac{7.5 - 1.5}{5 - 1} = 1.5$

The slope = 1.5 pages per minute

The interpretation of the slope is that the number of pages completed per minute is 1.5 pages

5. The given data are;

Miles, x; 0, 1, 2, 3

Calories, y; 0, 135, 270, 405

Please find attached the graph of the data created with MS Excel

From the graph, the slope = Δy/Δx = (270 - 135)/(2 - 1) = 135

The slope = 135 Calorie per mile

The interpretation of the slope is it takes 135 calories to complete 1 mile or vice versa.

5 0

2 years ago

What is sine times secant

laiz [17]

Sin time secant = sin(x)*1/cos(x) = tan(x)!!

7 0

3 years ago

Katherine is a personal chef. She charges $115 per four-person meal. Her monthly expenses are $3,150. How many four-person meals

Eddi Din [679]

Answer:

Step-by-step explanation:

it would technically be 16.5 because if u do 1,900/115=16.521739043 but just round it up to 17 so there you go I hope this helps you

8 0

2 years ago