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Natasha_Volkova [10]
3 years ago
5

What is 17 3/2 - 5 100/8​

Mathematics
2 answers:
LuckyWell [14K]3 years ago
5 0

Answer: -72/8 OR -9 <---(SIMPLIFIED)

Hope this helps, have a great day/night!

~IFoundJiminsLostJams~

Step-by-step explanation:

shtirl [24]3 years ago
3 0

Answer:

17 3/2 - 5 100/8 = 1/1 = 1

Step-by-step explanation:Conversion a mixed number 17 3/

2

to a improper fraction: 17 3/2 = 17 3/

2

= 17 · 2 + 3/

2

= 34 + 3/

2

= 37/

2

To find a new numerator:

a) Multiply the whole number 17 by the denominator 2. Whole number 17 equally 17 * 2/

2

= 34/

2

b) Add the answer from previous step 34 to the numerator 3. New numerator is 34 + 3 = 37

c) Write a previous answer (new numerator 37) over the denominator 2.

Seventeen and three halfs is thirty-seven halfs

Conversion a mixed number 5 100/

8

to a improper fraction: 5 100/8 = 5 100/

8

= 5 · 8 + 100/

8

= 40 + 100/

8

= 140/

8

To find a new numerator:

a) Multiply the whole number 5 by the denominator 8. Whole number 5 equally 5 * 8/

8

= 40/

8

b) Add the answer from previous step 40 to the numerator 100. New numerator is 40 + 100 = 140

c) Write a previous answer (new numerator 140) over the denominator 8.

Five and one hundred eighths is one hundred forty eighths

Subtract: 37/

2

- 140/

8

= 37 · 4/

2 · 4

- 140/

8

= 148/

8

- 140/

8

= 148 - 140/

8

= 8/

8

= 8 · 1/

8 · 1

= 1

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 8) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 8 = 16. In the following intermediate step, cancel by a common factor of 8 gives 1/

1

.

In other words - thirty-seven halfs minus one hundred forty eighths = one.Conversion a mixed number 17 3/

2

to a improper fraction: 17 3/2 = 17 3/

2

= 17 · 2 + 3/

2

= 34 + 3/

2

= 37/

2

To find a new numerator:

a) Multiply the whole number 17 by the denominator 2. Whole number 17 equally 17 * 2/

2

= 34/

2

b) Add the answer from previous step 34 to the numerator 3. New numerator is 34 + 3 = 37

c) Write a previous answer (new numerator 37) over the denominator 2.

Seventeen and three halfs is thirty-seven halfs

Conversion a mixed number 5 100/

8

to a improper fraction: 5 100/8 = 5 100/

8

= 5 · 8 + 100/

8

= 40 + 100/

8

= 140/

8

To find a new numerator:

a) Multiply the whole number 5 by the denominator 8. Whole number 5 equally 5 * 8/

8

= 40/

8

b) Add the answer from previous step 40 to the numerator 100. New numerator is 40 + 100 = 140

c) Write a previous answer (new numerator 140) over the denominator 8.

Five and one hundred eighths is one hundred forty eighths

Subtract: 37/

2

- 140/

8

= 37 · 4/

2 · 4

- 140/

8

= 148/

8

- 140/

8

= 148 - 140/

8

= 8/

8

= 8 · 1/

8 · 1

= 1

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 8) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 8 = 16. In the following intermediate step, cancel by a common factor of 8 gives 1/

1

.

In other words - thirty-seven halfs minus one hundred forty eighths = one.

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kirill [66]

Answer:

x = 14√3

y = 7√3

Step-by-step explanation:

By applying sine rule in the given triangle,

sin(60°) = \frac{\text{Opposite side}}{\text{Hypotenuse}}

\frac{\sqrt{3} }{2}=\frac{21}{x}

x = \frac{42}{\sqrt{3}}

x = 14√3

By applying cosine rule in the given triangle,

cos(30°) = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

\frac{1}{2}=\frac{y}{x}

\frac{1}{2}=\frac{y}{14\sqrt{3}}

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Step-by-step explanation:

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Step-by-step explanation:

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a bag contains 10 white gold balls and 6 striped golf balls. a golfer wants to add 112 golf balls to the bag. he wants the ratio
wolverine [178]

Answer:70 white golf balls and 42 striped golf balls

Step-by-step explanation:

First we find the ratio of white to striped balls

White golf balls = 10

Striped golf balls = 6

Ratio = 10/6 = 5/3

We are told a golfer wants to add extra 112 balls to the already 16 balls

And the ratio after adding 112 balls must stay the same

First we label the extra golf balls to be added x and y

x = white golf balls

y = striped golf balls

So since we know the 112 balls added is a combination of the extra white golf balls and striped golf balls, we create an equation for that, labelling it (1)

x + y = 112 (1)

And we are told that after putting these extra balls the ratio must remain the same, which is 5/3

which will be (10 white balls + x) divided by (6 striped ball + y) will be equals to 5/3

So we create another equation for this, labelling it (2)

(10+x)/(6+y) = 5/3 (2)

So we have two simultaneous equations

We pick (1)

x + y = 112

We either make x or y the subject of formula, I choose to make x the subject of formula, we label the equation (3)

take y to the other side, causing it to change to -y

x = 112 - y (3)

We then work with (2)

(10+x)/(6+y) = 5/3

We cross multiply

3(10+x) = 5(6+y)

We open the brackets

Making the equation simplified and labelling it (4)

30 +3x = 30 + 5y

Collect like terms

3x -5y = 30-30

3x -5y = 0 (4)

Remember from (3) we know that

x = 112 -y

So we put (3) in (4)

3(112 - y) - 5y = 0

Open bracket

336 -3y -5y =0

336 -8y = 0

Transfer -8y to the other side, changing to +8y

336 = 8y

Divide both sides by 8

336/8 = y

42 = y

y = 42

from (3) we know that x equals 112 - y

So we put y = 42 in (3)

x = 112 - y

x = 112 -42 = 70

x = 70

So therefore number of white golfs balls and striped golfs balls to be added to keep the same ratio is 70 and 42 respectively

4 0
3 years ago
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