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Pie
3 years ago
13

She picked 1 1/3 bushels of apples on her first trip and went back a second time and picked 5 1/3 bushels of apples

Mathematics
1 answer:
Serggg [28]3 years ago
4 0
Well whats the question and i will help cause I'm really good at math

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Use the zero product property to find the solutions to the equation (x + 2) (x + 3) = 12
Inessa05 [86]

Answer:

The solution of the equations are -6 and 1

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- We want to find the solution of the equation (x + 2) (x + 3) = 12

- <em>At first lets use the Foil method to multiply the two brackets</em>

 (x + 2) (x + 3) = (x)(x) + (x)(3) + (2)(x) + (2)(3)

 (x + 2) (x + 3) = x² + 3x + 2x + 6 ⇒ add the like term

 (x + 2) (x + 3) = x² + 5x + 6

∵ (x + 2) (x + 3) = 12

∴ x² + 5x + 6 = 12

- Subtract 12 from both sides

∴ x² + 5x - 6 = 0

- <em>Factorize the left hand side</em>

∵ x² = (x)(x)

∵ -6 = 6 × -1

∵ 6x + -1x = 5x

∴ (x + 6)(x - 1) = 0

- <em>Lets use the zero product property </em>

∵ (x + 6)(x - 1) = 0

∴ x + 6 = 0 ⇒ <em>OR</em> ⇒ x - 1 = 0

∵ x + 6 = 0

- Subtract 6 from both sides

∴ x = -6

∵ x - 1 = 0

- Add 1 to both sides

∴ x = 1

∴ The solution of the equations are -6 and 1

6 0
2 years ago
Read 2 more answers
Which one of the following is NOT equal to the others?
irina1246 [14]

Answer:

.03

Step-by-step explanation:

.03 would be 3% where all the others are 30% hope this helped!

5 0
3 years ago
Read 2 more answers
A large diamond with a mass of 481.3 grams was recently discovered in a mine. If the density of the diamond is 3.51 , what is th
sineoko [7]

Answer:

137.12

Step-by-step explanation:

Density = mass/volume

Density = 3.51

Mass = 481.3

Thus: 481.3/3.51 = 137.122507123

6 0
3 years ago
Read 2 more answers
Please help and I will give you a Cookie
Vesnalui [34]

Step-by-step explanation:

In triangle

x²=5²+12²

x²=25+144

x²=169

x= root of 169

x=13

5 0
2 years ago
Read 2 more answers
A flat rectangular piece of aluminum has a perimeter of 62 inches. The length is 15
Salsk061 [2.6K]

Answer:

So, the required width of rectangular piece of aluminium is 8 inches

Step-by-step explanation:

We are given:

Perimeter of rectangular piece of aluminium = 62 inches

Let width of rectangular piece of aluminium = w

and length of rectangular piece of aluminium  = w+15

We need to find width i.e value of x

The formula for finding perimeter of rectangle is: Perimeter=2(Length+Width)\\

Now, Putting values in formula for finding Width w:

Perimeter=2(Length+Width)\\\\62=2(w+15+w)\\62=2(2w+15)\\62=4w+30\\62-30=4w\\4w=32\\w=\frac{32}{4}\\w=8

After solving we get the width of rectangular piece :w = 8

So, the required width of rectangular piece of aluminium is 8 inches

6 0
3 years ago
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