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3 years ago

16 2/5 - 9 2/3 = show work

Mathematics

1 answer:

fgiga [73]3 years ago

3 0

Answer:

Conversion a mixed number 16 3

to a improper fraction: 16 3/8 = 16 3

= 16 · 8 + 3

= 128 + 3

= 131

To find new numerator:

a) Multiply the whole number 16 by the denominator 8. Whole number 16 equally 16 * 8

= 128

b) Add the answer from previous step 128 to the numerator 3. New numerator is 128 + 3 = 131

c) Write previous answer (new numerator 131) over the denominator 8.

Sixteen and three eighths is one hundred thirty-one eighths

Conversion a mixed number 9 5

to a improper fraction: 9 5/8 = 9 5

= 9 · 8 + 5

= 72 + 5

= 77

To find new numerator:

a) Multiply the whole number 9 by the denominator 8. Whole number 9 equally 9 * 8

= 72

b) Add the answer from previous step 72 to the numerator 5. New numerator is 72 + 5 = 77

c) Write previous answer (new numerator 77) over the denominator 8.

Nine and five eighths is seventy-seven eighths

Subtract: 131

- 77

= 131 - 77

= 54

= 2 · 27

2 · 4

= 27

The common denominator you can calculate as the least common multiple of the both denominators - LCM(8, 8) = 8. Cancelling by a common factor of 2 gives 27

In words - one hundred thirty-one eighths minus seventy-seven eighths = twenty-seven quarters.

Step-by-step explanation:

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What is the LCM of 10 and 14

Oduvanchick [21]

The LCM of 10 and 14 is 2.

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2 years ago

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Help i dont know what to do i give brainlist

Y_Kistochka [10]

Answer:

473 yd^3

Step-by-step explanation:

The surface area of the square base is (11 yd)^2, or 121 yd^2.

The surface area of one of the slanting sides of the pyramid is

A = (1/2)(b)(h), which comes to A = (1/2)(11 yd)(16 yd) = 88 yd^2.

Thus, four such sides have a combined surface area of 352 yd^2.

Combining the surface areas of the slanting sides with the base area yields 473 yd^3

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3 years ago

Find the product. Simplify your answer.<br> -5 • 9t<br> 7s 7

Sauron [17]

Answer:

-13

——— = -0.20635

Step-by-step explanation:

Step 1 :

Simplify —

Equation at the end of step 1 :

4 7

— - —

7 9

Step 2 :

Simplify —

Equation at the end of step 2 :

4 7

— - —

7 9

Step 3 :

Calculating the Least Common Multiple :

3.1 Find the Least Common Multiple

The left denominator is : 7

The right denominator is : 9

Number of times each prime factor

appears in the factorization of:

Prime

Factor Left

Denominator Right

Denominator L.C.M = Max

{Left,Right}

7 1 0 1

3 0 2 2

Product of all

Prime Factors 7 9 63

Least Common Multiple:

Calculating Multipliers :

3.2 Calculate multipliers for the two fractions

Denote the Least Common Multiple by L.C.M

Denote the Left Multiplier by Left_M

Denote the Right Multiplier by Right_M

Denote the Left Deniminator by L_Deno

Denote the Right Multiplier by R_Deno

Left_M = L.C.M / L_Deno = 9

Right_M = L.C.M / R_Deno = 7

Making Equivalent Fractions :

3.3 Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

L. Mult. • L. Num. 4 • 9

—————————————————— = —————

L.C.M 63

R. Mult. • R. Num. 7 • 7

—————————————————— = —————

L.C.M 63

Adding fractions that have a common denominator :

3.4 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

4 • 9 - (7 • 7) -13

——————————————— = ———

63 63

Final result :

-13

——— = -0.20635

8 0

3 years ago

Read 2 more answers

-8 + 2n + 14 = 4n - 16

Triss [41]

Answer:

n=10

Step-by-step explanation:

I don't know if you are trying to fun 'n' but if you are seeing if they are equal, they are not

-6n+14 = 4n-16.

but if you are trying to find n,

n = 10.

8 0

2 years ago

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A survey asks, "If the husband in a family wants children, but the wife decides that she does not want any children, is it all r

vodka [1.7K]

Answer:

a. The 99% confidence interval for the population proportion is (0.7872, 0.8610).

D. Yes, we can conclude that the population proportion exceeds 75% because 75% is below the lowest believable value of the confidence interval.

b. The 99% confidence interval would be wider than a 95% confidence interval.

As the confidence level increases, the width interval increases, as we are requiring more confidence with the same information (there is no new sample). This means that, to be more confident, the only way is to include more values in the interval.

Step-by-step explanation:

We have to calculate a 99% confidence interval for the proportion.

The sample proportion is p=0.8241.

$p=X/n=581/705=0.8241$

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.8241*0.1759}{705}}\\\\\\ \sigma_p=\sqrt{0.000206}=0.0143$

The critical z-value for a 99% confidence interval is z=2.5758.

The margin of error (MOE) can be calculated as:

$MOE=z\cdot \sigma_p=2.5758 \cdot 0.0143=0.0369$

Then, the lower and upper bounds of the confidence interval are:

$LL=p-z \cdot \sigma_p = 0.8241-0.0369=0.7872\\\\UL=p+z \cdot \sigma_p = 0.8241+0.0369=0.8610$

The 99% confidence interval for the population proportion is (0.7872, 0.8610).

We can conclude that there is, at least, 99% chances that the true proportion is higher than 0.7872. So there is at least 99% chances that the population proportion is higher than 0.75.

4 0

3 years ago