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Damm [24]
4 years ago
8

What is the first step to converting from a fraction to a decimal ?

Mathematics
1 answer:
Lubov Fominskaja [6]4 years ago
8 0

Answer:

To convert a fraction into a decimal, divide the top number by the bottom number. What about with denominators that don't divide into 10, 100 or 1000, such as 7? You still divide the denominator into the numerator, no matter what the numbers are.

Step-by-step explanation:

ok

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If a 32 ft rope is cut into two sections with one section 7 times as log as the other section, how long is teh shorter piece?
steposvetlana [31]
The total length of the rope = 32 ft
It is cut into two sections, say x and y
But one section is seven times the other, say y=7x (shorter section being x)
Solving for x

x+y =32
x+7x = 32
8x=32
x=32/8 = 4 ft.
Therefore, the shorter piece is 4 ft long.
5 0
3 years ago
Which property will we need to use to solve the equation?<br><br> x - 10 = 5
Llana [10]

Answer:

Addition Property of Equality

Step-by-step explanation:

To solve this equation, we need to use the Addition Property of Equality because we need to add 10 to both sides to isolate x...

x-10=5

x-10+10=5+10

x=15

5 0
2 years ago
the tens digit of a two digit number is 5 greater the units digit. If you subtract double the reversed number from it, the resul
likoan [24]

Given:

The tens digit of a two digit number is 5 greater the units digit.

If you subtract double the reversed number from it, the result is a fourth of the original number.

To find:

The original number.

Solution:

Let n be the two digit number and x be the unit digit. Then tens digit is (x+5) and the original number is:

n=(x+5)\times 10+x\times 1

n=10x+50+x

n=11x+50

Reversed number is:

x\times 10+(x+5)\times 1=10x+x+5

x\times 10+(x+5)\times 1=11x+5

If you subtract double the reversed number from it, the result is a fourth of the original number.

11x+50-2(11x+5)=\dfrac{1}{4}(11x+50)

11x+50-22x-10=\dfrac{1}{4}(11x+50)

40-11x=\dfrac{1}{4}(11x+50)

Multiply both sides by 4.

160-44x=11x+50

160-50=11x+44x

110=55x

Divide both sides by 55.

\dfrac{110}{55}=x

2=x

The unit digit is 2. So, the tens digit is 2+5=7.

Therefore, the original number is 72.

6 0
3 years ago
Please help me!!!!!!!!:(
horsena [70]

Answer:

24% chance

Step-by-step explanation:

First, find the total number of graduates in the table, that number is 2610, that will be your numerator.

You will look at the table for the total number of students, that is 10730, that will be the denominator.

Now divide the smaller number/numerator (2610) by the larger number/denominator (10730)

\frac{2610}{10730} = 0.2432432...

Then, multiply by 100 to get the percentage: 24.32432...%

Now, round to the nearest percentage: 24%


7 0
3 years ago
Based on historical data in Oxnard college, we believe that 37% of freshmen do not visit their counselors regularly. For this ye
slega [8]

Answer:

A sample size of 1031 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

37% of freshmen do not visit their counselors regularly.

This means that \pi = 0.37

98% confidence level

So \alpha = 0.02, z is the value of Z that has a pvalue of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.

You would like to be 98% confident that your estimate is within 3.5% of the true population proportion. How large of a sample size is required?

A sample size of n is required.

n is found when M = 0.035. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.035 = 2.327\sqrt{\frac{0.37*0.63}{n}}

0.035\sqrt{n} = 2.327\sqrt{0.37*0.63}

\sqrt{n} = \frac{2.327\sqrt{0.37*0.63}}{0.035}

(\sqrt{n})^2 = (\frac{2.327\sqrt{0.37*0.63}}{0.035})^2

n = 1030.4

Rounding up:

A sample size of 1031 is required.

4 0
3 years ago
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