Assignment: Using Prime Factorization Investigation

Mathematics

1 answer:

damaskus [11]3 years ago

3 0

Answer:

3(2 +7)
9(3 +5)
16(2 +3)
15(2 +5)
8(11 +3)

Step-by-step explanation:

6 + 21 = 2·3 + 3·7 = 3(2 +7)
27 + 45 = 3^3 + 3^2·5 = 9(3 +5)
32 + 48 = 2^5 + 2^4·3 = 16(2 +3)
30 + 75 = 2·3·5 + 3·5^2 = 15(2 +5)
88 + 24 = 2^3·11 +2^3·3 = 8(11 +3)

In each case, the factor outside parentheses is the greatest common factor, the product of the prime factors common to both numbers. When the same factor has different powers, the least power is the common factor.

You might be interested in

In a recipe for fizzy grape juice, the ratio of cups of sparkling water to cups of grape juice concentrate is 3 to 1. a) Find tw

Verizon [17]

Answer:

$6:2,\,9:3$

Step-by-step explanation:

Given: The ratio of cups of sparkling water to cups of grape juice concentrate is $3:1$ in a recipe for fizzy grape juice.

To find: two more ratios of cups of sparkling water to cups of juice concentrate that would make a mixture that tastes the same as this recipe

Solution:

Equivalent ratios are the ratios that have the same value.

Find two ratios equivalent to $3:1=\frac{3}{1}$

Multiply both numerator and denominator of $\frac{3}{1}$ by 2

$\frac{3(2)}{1(2)} =\frac{6}{2}$

Multiply both numerator and denominator of $\frac{3}{1}$ by 3

$\frac{3(3)}{1(3)} =\frac{9}{3}$

So, two more ratios of cups of sparkling water to cups of juice concentrate that would make a mixture that tastes the same as this recipe are $6:2,\,9:3$

3 0

3 years ago

Please answer this question only if you know the answer! 25 points and brainliest!

tankabanditka [31]

The rotational order is the number of times it can rotate upon itself.

This means the shape has 9 sides.

360 /9 = 40 degrees

7 0

3 years ago

When James family went on the road to the carnival they were stuck in traffic. After a 20 minutes they are were 30 more miles le

Assoli18 [71]

Answer:

They would be 5.5 miles away because if you take 20 divided by 20 to get 1 minute you would have to take 30 divided by 20 to get 1.5 miles per 1 minute. Then you would have to take 1 times 35 to get 35 minutes and you would have to take 1.5 times 35 to get 52.5. Then lastly you would take 58 miles and subtract 52.5 to get 5.5 miles therefor your answer would be 5.5 miles.

Step-by-step explanation: