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avanturin [10]
3 years ago
8

Find the answer to 1/8 + 7/12

Mathematics
2 answers:
julsineya [31]3 years ago
7 0

Answer:

17/24

Step-by-step explanation:

Notice that 1/8 and 7/12 are unlike fractions. Our first step when adding unlike fractions is to get a common denominator.

The common denominator of 8 and 12 will be the least common multiple of 8 and 12 which is 24. To get a 24 in the denominator of 1/8, we multiply the numerator and the denominator by 3 which gives us 3/24. To get a 24 in the denominator of 7/12, we multiply the numerator and the denominator by 2 which gives us 14/24. Now we're adding like fractions.

3/24 + 14/24

To add like fractions or fractions that have the same denominator, simply add the numerators and keep the original denominator.

So here, if we add the numerators we have 3 + 14 which gives us 17. We put this over our original denominator which is 24. So we have 17/24.

So 1/8 + 7/12 is 17/24.

dangina [55]3 years ago
6 0

Answer: 17/24

Step-by-step explanation: Notice that 1/8 and 7/12 are unlike fractions. Our first step when adding unlike fractions is to get a common denominator.

The common denominator of 8 and 12 will be the least common multiple of 8 and 12 which is 24. To get a 24 in the denominator of 1/8, we multiply the numerator and the denominator by 3 which gives us 3/24. To get a 24 in the denominator of 7/12, we multiply the numerator and the denominator by 2 which gives us 14/24. Now we're adding like fractions.

3/24 + 14/24

To add like fractions or fractions that have the same denominator, simply add the numerators and keep the original denominator.

So here, if we add the numerators we have 3 + 14 which gives us 17. We put this over our original denominator which is 24. So we have 17/24.

So 1/8 + 7/12 is 17/24.

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Which pair of angles are supplementary?
Lina20 [59]

Supplementary angles are angles that add up to 180 degrees, aka one straight line. The supplementary angles here are:

1 and 2, 1 and 3, 2 and 4, 3 and 4, 5 and 6, 6 and 8, 7 and 8, and 6 and 7. Well, those are the more obvious ones. 1 and 7 are supplementary because if you envision them next to each other, you’ll see that they create a straight line. So, with that logic, 3 and 5 are supplementary because when you put them together, they create a straight line

3 0
3 years ago
The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.18 millimeters and a standard deviat
dimulka [17.4K]

As per the concept of normal distribution, the two diameters of the bolt that has separate the top 3% and the bottom 3% are 5.2836 mm and 5.0764 mm respectively .

Normal distribution:

Normal distribution means the probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean and it has the bell shaped curve.

Given,

The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.18 millimeters and a standard deviation of 0.07 millimeters.

Here we need to find the two diameters that separate the top 3% and the bottom 3% and these diameters could serve as limits used to identify which bolts should be rejected. we have also round off the result into nearest hundredth.

Here we have the given question with the values of,

The value of Mean is 5.18 millimeters

The value of Standard deviation is 0.07 millimeters.

Here we have to consider the following two cases, they are.

Case 1

We need to find x₁ such that that is P(X > x₁) = 3% when we convert it into decimal then we get P (X > x₁) = 0.03

So, as per the probability,

P (X ≤ x₁) = 1 - 0.03 = 0.97

So, z corresponding to the value of p = 0.97 is 1.48

Apply the given values to the formula of normal distribution then we get,

=> 1.48 = (x₁ -  5.18) /0.07

=> 0.1036 = x₁ - 5.18

Therefore, the value of x₁ is  5.2836

So, the diameter of the both with separate top 3% is 5.2836.

Case 2:

Next we have to take P(X < x₂) = 3% when we convert it into decimal then we get P (X < x₂) = 0.03

So, as per the given probability, the value of

P (X ≤ x₂) = 1 - 0.03 = 0.97

So, z corresponding to but here we have to use the negative because of the less than concept p = 0.97 is -1.48

Apply the values on the formula of normal distribution then we get,

-1.48 = (x₂ -  5.18) /0.07

Move the value to the other side

-0.1036 = x₂ - 5.18

When we simplify it,

x₂ =  5.0764

So, the diameter of the both with separate bottom 3% is 5.0764

To know more about Normal distribution here.

brainly.com/question/12421652

#SPJ1

7 0
10 months ago
10. The number of people, N, employed in a chain of cafes is related to the number of cafes, n, by the equation:
il63 [147K]

Answer:

b.

i. N= 10n+120

    = 10*14+120

    = 260

ii. N = 10n+120

<=> 190=10n+120

<=> n=7

Step-by-step explanation:

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3 years ago
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finlep [7]

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I need some help with my math :(
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Answer:

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