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lubasha [3.4K]
3 years ago
6

Drag each equation to show if it could be a correct first step to solving the equation 3(6 + x) = 24.

Mathematics
2 answers:
il63 [147K]3 years ago
8 0
Use the distributive property.

3(6 + x) = 24
18 + 3x = 24
3x = 6
x = 2
Crank3 years ago
7 0

Answer:

X=2

Step-by-step explanation:

3 (6 + x) = 24

3 * 6 + 3*x =24

So then 18 + 3x = 24  

Move 18 under to 24

Do 24-18

Then you get 6

6/3

Then, X=2

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The Pythagorean theorem states that the square of the hypotenuse is equal to  the sum of the squares of the legs:

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Check all options:

1. c=5, a=3, b=4:

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2. c=14, a=4, b=11:

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3. c=17, a=9, b=14:

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4. c=16, a=8, b=14:

16^2=256,\\8^2+14^2=64+196=260,\\16^2\neq 8^2+14^2 false.

5. c=17, a=8, b=15:

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Answer: correct options are A and E.

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<em><u>Solution:</u></em>

Given that there are 50 cupcakes and 160 cookies to be sold at the school bake sale

To find: greatest number of packages of baked items that can be sold

Each package has the same number of cupcakes and same number of cookies with none left over

So, we have to find the greatest common factor of 50 and 160

The greatest number that is a factor of two (or more) other numbers.

When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor.

<em><u>Greatest common factor of 50 and 160:</u></em>

The factors of 50 are: 1, 2, 5, 10, 25, 50

The factors of 160 are: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

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<em><u>Each package will contain:</u></em>

Given that there 50 cupcakes and 160 cookies

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