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3 years ago

What is the prime factorization of 60

Mathematics

1 answer:

jeka57 [31]3 years ago

5 0

Answer:

2*2*3*5

Step-by-step explanation:

We need to factor 60 until it is prime numbers

60 = 12*5 5 is prime 12 is not

=3*4 *5 3,5 prime 4 is not

= 3 *2*2 *5 2,3,5 are prime

Rearranging the order

=2*2*3*5

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Help please.......Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

maxonik [38]

Answer:

The cost of 1 dozen doughnut is $6 and the cost of a dozen croissant is $10.

Step-by-step explanation:

We know that:

D = Cost of a dozen doughnut
C = Cost of a dozen croissant
10D + 7C = 130
6D + 4C = 76

Work:

10D + 7C = 130

6D + 4C = 76

4(10D + 7C = 130)

7(6D + 4C = 76)

40D + 28C = 520

42D + 28C = 532

40D - 42D = 520 - 532
=> -2D = -12
=> 2D = 12
=> D = 6

Now, let's substitute the value of D into the first equation.

10D + 7C = 130
=> 10(6) + 7C = 130
=> 60 + 7C = 130
=> 7C = 70
=> C = 10

Hence, the cost of 1 dozen doughnut is $6 and the cost of a dozen croissant is $10.

Hoped this helped.

$BrainiacUser1357$

4 0

2 years ago

Need help with this pls (Show work pls!!)

Aleksandr-060686 [28]

This is my first time on this app but this question doesn’t look to hard i’m ok at math but not that good at showing my work

Isosceles triangles have to equal sides

and each side is 5 cm greater than the base

you know the perimeter is 46

i would use basic algebra

x = base

46 = 2(x +5) + x

the 2(x +5) is the equal sides

46 = 2(x+5) + x

using distributive property

46 = 2x + 10 + x

add the common variable

46 = 3x + 10

now it’s easy

3x = 46 - 10

3x = 36

x = 36 / 3

x = 12

now that we got x (base)

we know that the equal sides are 5 cm longer than the base

12 + 5 = 17

since there are 2 sides and they are equal they are both 17

so each side of the triangle would be
1. 17 cm
2. 17 cm
3. 12 cm

to check you should be able to add them all together and get 46

17 + 17 + 12 = 46

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3 years ago

Will likes two brands of healthy breakfast cereal. In Superfiber cereal, there are 5 grams of fiber in one cup. In Fiber Oats ce

nikklg [1K]

Answer:

5x + 4y ≥ 30

Step-by-step explanation:

Superfiber ⇒ 5 grams ⇒ x cups

total 5x

Fiber Oats ⇒ 4 grams ⇒ y cups

total 4y

The required inequality is:

5x + 4y ≥ 30

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2 years ago

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Find the perimeter of a rectangle with a width of 5 1/3 feet and a length of 10 1/6 feet.

Alika [10]

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