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3 years ago

764/14 in terms of a mixed number using format : 75 3/5

Mathematics

1 answer:

lana [24]3 years ago

3 0

Answer:

54 $\frac{4}{7}$

Step-by-step explanation:

764 ÷ 14 = 54 remainder 8, hence

$\frac{764}{14}$ = 54 $\frac{8}{14}$ = 54 $\frac{4}{7}$ ← in simplest form

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Ms. B is making snickerdoodle cookies. Her recipe uses one and a half teaspoons of cinnamon to make two dozen cookies. If she ne

Korvikt [17]

Answer:

First we must learn to dissect a question.

<h3>Explanation:</h3>

Part 1

We can list our facts first:

Every 2 dozen cookies takes 1.5 teaspoons of cinnamon to make
She needs 13 dozen cookies

She needs 13 dozen cookies. So (13/2)x 1.5 teaspoons

$6.5 \times 1.5 = 9.75 \: teaspoons$

She needs 9.75 teaspoons and 3 teaspoons make a tablespoon

So..

$9.75 \div 3 = 3 r0.75= 3tbsp \: and \: 0.75tsp$

7 0

2 years ago

Is it possible for two numbers to have a difference of 8 and a sum of 1?

topjm [15]

Answer: yes , it is possible

Step-by-step explanation:

Let the first number be x and the second number be y .Then , the sum of the two numbers will be x + y , and their difference will be x - y.

Combining the two , we have :

x + y = 1 ............................... equation 1

x - y = 8 ................................. equation 2

solving the system of linear equation by substitution method. From equation 1 , make x the subject of the formula ,

x = 1 - y ...................... equation 3

Substitute equation 3 into equation 2 ,

1 - y - y = 8

1 - 2y = 8

add 2y to both sides

1 = 8 + 2y

subtract 8 from both sides

1 - 8 = 2y

- 7 = 2y

divide through by 2

y = $\frac{-7}{2}$

y = - 3.5

substitute y = -3.5 into equation 3 to find the value of x , we have

x = 1 - y

x = 1 - ( - 3.5 )

x = 1 + 3.5

x = 4.5

Let us check :

x + y will be

4.5 + (-3.5) = 1

Also ,

x - y will be

4.5 - (-3.5)

⇒ 4.5 + 3.5 = 8

7 0

3 years ago

What id the mean of the set? 10, 15, 14, 8, 18, 11, 12, 12, 10, 10, 17, 16

Elan Coil [88]

The Mean is of the data is 12.75

5 0

3 years ago

Read 2 more answers

Write an equation that you can use to solve for x.<br><br> Enter your answer in the box.

patriot [66]

X + 60 = 100 (because they are vertical angles, which means that because they are directly opposite of each other, they are of the same measurements).

Solve for x. Isolate the x, subtract 60 from both sides

x + 60 = 100

x + 60 (-60) = 100 (-60)

x = 100 (-60)

x = 40

40° should be your answer

hope this helps

8 0

3 years ago

Read 2 more answers

A survey found that women's heights are normally distributed with mean 63.3 in. and standard deviation 2.7 in. The survey also

mylen [45]

Answer:

A) There is a 100% chance of meeting the height requirement for women.

B) There is a 99.89% chance of meeting the height requirement for men.

C) New height requirements are:

71.9 inches for men and 58.9 inches minimum for women.

At least 58.9 inches and at most 71.9 inches.

Step-by-step explanation:

This question involves finding z values which tell us the percentage from 0 to x.

z = (x-μ)/σ

A) In this question, the minimum sample point is 4 ft 9 inches or converting to inches, we have;(4*12) + 9 =57 inches.

The maximum sample point is 6 ft 4 inches which in inches gives; (6*12) + 4 = 76 inches

For the minimum point;

z = (57 - 63.3)/2.7 = -2.33

From the z-distribution table, this equates to 0.0099.

The maximum;

z = (76 - 63.3)/2.7 = 4.70

From the z-table, it gives 0.999.. Basically 100%.

So there is a 100% chance of meeting the height requirement for women.

B) For men;

the minimum z = (57 - 67.3)/2.8 = -3.68 which gives 0.00012 from the z-distribution table.

The maximum;

z = (76 - 67.3)/2.8 = 3.07 which gives 0.9989 from the z-distribution table. Basically, 99.89%.

So there is a 99.89% chance of meeting the height requirement for men.

C) To exclude the tallest 5% of men, we need to find the z-value for 0.95 and then solve for x.

Thus from the z-table, z = 1.65. So;

1.645 = (x - 67.3)/2.8

4.606 = x - 67.3

x = 67.3 + 4.606

x ≈ 71.9 inches for men.

So, Current minimum is okay.

To exclude the shortest 5% of women, we need to find the z for 0.05.

From the z-distribution table, it has a value of -1.645. So;

-1.645 = (x - 63.3)/2.7

-4.4415 = x - 63.3

x = 63.3 - 4.4415

x ≈ 58.9 inches minimum.

So, Current maximum is okay.

5 0

3 years ago