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serious [3.7K]
3 years ago
11

Manuel created a factor tree and wrote the prime factorization of 60 shown below.

Mathematics
1 answer:
Ksivusya [100]3 years ago
3 0

If Manuel's final answer does not total to 60, he must have done an error.

Prime factorization of 60;

60=6*10

--------------------------

6=2*3

10=2*5

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The difference between two integers is 8 and their product is 65. Assume that the larger of the two numbers is x. Write a quadra
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A quadratic equation in standard form that can be used to determine the value of x is x^{2} - 8x - 65 = 0.

The Factor of the equation from Part B is (x - 13)(x + 5)  and the possible solutions to the equation is x = 13 or -5.

The value for the second number is 5

<h3>Word Problem Leading To Quadratic Equation.</h3>

The general formula for quadratic equation in a in standard form is

ax^{2} + bx + c = 0

Given that the  difference between two integers is 8

Let the two integers = x and y,

and their product is 65. If the larger of the two numbers is x. Then,

x - y = 8 and xy = 65

Since we are looking for the value of x, make y the subject of formula in the first equation.

y = x - 8

Substitute y in the second equation.

x(x - 8) = 65

x^{2} - 8x - 65 = 0

x^{2} - 13x + 5x - 65 = 0

(x - 13)(x + 5) = 0

x = 13 or -5

We will ignore -5 since x is the larger number.

To get y Substitute x in the second equation.

xy = 65

13y = 65

y = 65/13

y = 5

Therefore, a quadratic equation in standard form that can be used to determine the value of x is x^{2} - 8x - 65 = 0. The Factor of the equation from Part B is (x - 13)(x + 5)  and the possible solutions to the equation is x = 13 or -5. The value for the second number is 5

Learn more about Quadratic Equation here: brainly.com/question/25841119

#SPJ1

5 0
2 years ago
Alaina needs to sell 225 boxes in order to be the top seller. She sells thin mints and samoas to all of her customers for a tota
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Answer:

94 boxes of samoas

131 boxes of thin mints

Step-by-step explanation:

m=mints

s=samoas

s+m=225    m=225-s

s(2.5)+m(3)=628

2.5s+3m=628

substitute for m

2.5s+3(225-s)=628

2.5s+675-3s=628

reduce

-0.5s=-47

s=94

m=131

4 0
3 years ago
2 1/4 X 3 1/3<br><br> What is the answer?
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Answer:

The answer to 2 1/4 X 3 1/3 is 7 1/2

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The answer of the question,, it's a maths questions
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You can solve this problem two ways.

1. Divide 68g by 100 to get how many grams per pound and multiply that by 150. This is the hard way.

2. Multiply 68 by 1.5 to get your answer. This is possible because 150 is 1.5 of 100, so multiplying the amount for 100 by 1.5 gives you your answer.
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can you send the question on here or put the camera closer because i cant see that and i would like to help.

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