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3 years ago

2 prime numbers that add up to 48

Mathematics

1 answer:

kati45 [8]3 years ago

8 0

Answer:

19 and 29

Step-by-step explanation:

1.) 19 and 29 are prime numbers because they only have 1 and themselves as their factors. What I mean is that nothing else can multiply to get 19 or 29 except 19 times 1 or 29 times 1. Also, 19 times 19 or 29 times 29. An example of a non-prime number is 24 because the numbers 1, 2, 3, 4, 6, 8, 12, and 24 can multiply to get 24. For example, 1 times 24 = 24, 2 times 12 = 24, 3 times 8 = 24, and so on.

2.) 19 + 29 = 48

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Drag and drop the answer into the box to identify each function as linear, exponential, or neither.

katrin2010 [14]

<span>x 2 3 4
f(x) 5.5 7 8.5 </span>

The first function is linear. When you subtract 5.5 from 7, you get 1.5 and when you subtract 7 from 8.5 you also get 1.5. That's how we know it's a linear function because there's clearly pattern. HOWEVER, if you had 5.5, 7, and 9 that would not be a linear function. Why? Because when you take away 7 from 9 you get 2. In order for it to be a linear function you have to get the same exact number when you subtract.

<span>x 0 3 6
f(x) 1 8 64</span>

The second function is exponential because when you divide you get the exact same number. 8/1 = 8 and 64/8 = 8. So this is exponential. But if you had 72 instead of 64 it would not be an exponential function because there has to be a pattern.

I hope this makes sense. Btw I had this question on my test too and this is correct.

4 0

3 years ago

Read 2 more answers

Find the surface area of the rectangular prism

Umnica [9.8K]

Answer:

185.68 cm3

Step-by-step explanation:

SA = 2 (L x W) + 2 (L x H) + 2 (W x H)

= 2 (8.2 x 3.4) + 2 (8.2 x 5.6) + 2 (3.4 x 5.6)

= 2 (27.88) + 2 (45.92) + 2 (19.04)

= 55.76 + 91.84 + 38.08

SA = 185.68 cm3

4 0

3 years ago

I NEED THE ANSWER RIGHT NOW PLEASE!!!

strojnjashka [21]

Answer:

Second : 1/6 x + 47

Third : 1 2/3 x + 35 - 1 1/2 x + 12

Fourth : 5 (1/3x) + (5) (7) - (3) (1/2x) + (3) (4)

Step-by-step explanation:

I would start by expanding the expression, showing each step. Then, simplify by collecting like terms.

To expand, you multiply the term outside of the brackets by each term inside the brackets.

5(1/3x + 7) - 3(1/2x - 4)

= 5(1/3x) + (5)(7) - (3)(1/2x) + (3)(4) Showing how to expand

= 5/3x + 35 - 3/2x + 12 Simplified above step by multiplying

= 5/3x - 3/2x + 47 Collected like terms (35 + 12 = 47)

= 10/6x - 9/6x + 47 Change fractions to the common denominator 6

= $\frac{10-9}{6}x$ + 47 Combine fractions with common denominator

= 1/6x + 47 Fully expanded

See which options match the steps I took to expand the original expression.

The second step is the same as option 4.

The last step is the same as option 2.

I bolded those steps that are the same.

Some options use mixed fractions (whole numbers and fractions).

From the third step, I will convert the improper fractions to mixed fractions.

5/3x + 35 - 3/2x + 12

= 1 2/3x + 35 - 1 1/2x + 12

This is the same as option 3.

$\frac{5}{3}x = 1\frac{2}{3}x$ On the left side, 5 goes into 3 ONE time. The ONE becomes the whole number. After 5 goes into 3, there is 2 left, which becomes the numerator.

$\frac{3}{2}x = 1\frac{1}{2}x$ On the left side, 3 goes into 2 ONE time. The ONE becomes the whole number. The remainder is 1, which becomes the numerator.