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Komok [63]
4 years ago
5

Find the Ratio of 1 hour and 45 minutes​

Mathematics
2 answers:
AlladinOne [14]4 years ago
8 0
60min: 45 min
12min:9min
4min: 3 min
Paladinen [302]4 years ago
4 0
1 hour = 60 minutes
1 hour:45 minutes
= 60 minutes:45 minutes
=12 minutes:9 minutes
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Write each as a decimal. Round to the thousandths place.<br> 9) 78.4%<br> 10) 29%<br> Help
fomenos

Answer:

(a) 78.4\% = 0.784

(b) 29\% =0.290

Step-by-step explanation:

Required

As a decimal to nearest thousandth

Solving (a): 78.4%

78.4\%

Express as fraction

78.4\% = \frac{78.4}{100}

Solve fraction

78.4\% = 0.784 ----- This is already in thousandth place

Solving (b): 29%

29\%

Express as fraction

29\% =\frac{29}{100}

Solve fraction

29\% =0.29

Approximate

29\% =0.290

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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

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