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3 years ago

What is the prime factorization of 32?

Mathematics

1 answer:

Dahasolnce [82]3 years ago

7 0

Answer:

2^5

Step-by-step explanation:

Keep dividing by primes until you can't anymore. The numbers you divided by are the prime factors. The only one you need is 2.

32 = 2·16 = 2·2·8 = 2·2·2·4 = 2·2·2·2·2

32 = 2^5

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The Frosty Ice-Cream Shop sells sundaes for $2 and banana splits for $3. On a hot summer day, the shop sold 8 more sundaes than

svlad2 [7]

The shop sold 36 sundaes and 28 banana spilts

Solution:

Let "a" be the number of sundaes sold

Let "b" be the number of banana spilts sold

Cost of 1 sundaes = $ 2

Cost of 1 banana spilt = $ 3

On a hot summer day, the shop sold 8 more sundaes than banana splits and made $156

Therefore,

Number of sundaes sold = 8 + number of banana spilts sold

a = 8 + b ------- eqn 1

Also, given that they made $ 156

Therefore, we frame a equation as:

Number of sundaes sold x Cost of 1 sundaes + number of banana spilts sold x Cost of 1 banana spilt = 156

$a \times 2+b \times 3 = 156$

2a + 3b = 156 ---------- eqn 2

Substitute eqn 1 into eqn 2

2(8 + b) + 3b = 156

16 + 2b + 3b = 156

16 + 5b = 156

5b = 156 - 16

5b = 140

Substitute b = 28 in eqn 1

a = 8 + 28

Thus the shop sold 36 sundaes and 28 banana spilts

4 0

3 years ago

What is the smallest positive integer x such that 52 divides 98701 + x.

strojnjashka [21]

Answer: i think 46 im not sure tho

Step-by-step explanation:

5 0

3 years ago

The parrots at the top of the tree is about 10 inches long and has a wing span of 15 inches what fraction represents the birds l

QveST [7]

The correct answer is 10/15, simplified to 2/3.

6 0

3 years ago

Dominic spent 2 3/4 hours on art project. Rachel worked 1 1/3 times as long. How many hours did Rachel work for?

N76 [4]

3 and 2/3 hours.

Multiply the number of hours Dominic spent by the scale factor.

3 0

3 years ago

Read 2 more answers

I need 3 questions answered please.

kakasveta [241]

Answer:

$3) \: \: 113 {ft}^{2}$

$4) \: false$

$5) \: 70 {ft}^{2}$

Step-by-step explanation:

3) Area of a circle is

$\pi \times {r}^{2}$

Where r = 6

Thus,

$area = \frac{22}{7} \times {6}^{2}$

$area = \frac{22}{7} \times 36$

$area = 3.143 \times 36$

$area = 113 {ft}^{2} \: (nearest \: whole \: number)$

4) False

Area of a circle is measured by the formula below:

$area = \pi \times {r}^{2}$

5) The formula for calculating the area of a rectangle is given thus:

$area \: of \: a \: rectangle = l \times w$

Where, l = 10ft; w = 7ft

$area = 10ft \times 7ft = 70 {ft}^{2}$

8 0

3 years ago