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Yanka [14]
3 years ago
14

How many pounds are in 97 ounces

Mathematics
2 answers:
saveliy_v [14]3 years ago
7 0
There are 16 ounces in a pound, so we set up a proportion. 

\frac{1}{16}  =  \frac{x}{97}
where x = the amount of pounds in 97 ounces. 

Cross-multiply:

16x = 97

Divide both sides by 16

x = 97/16 = 6.0625

There are 6.0625 pounds in 97 ounces. 
Hoochie [10]3 years ago
3 0
According to Google, 97oz is equal to 6.0625lbs

hope this helps :)
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earnstyle [38]

Answer:

\frac{4}{3}\sqrt{3}

Step-by-step explanation:

the ratio of sides of a 30-60-90° triangle, respectively, are 1 : \sqrt{3} : 2

we can solve for 'x' using this proportion:

x/4 = 1/\sqrt{3}

now cross-multiply:

\sqrt{3}x = 4

x = 4/\sqrt{3}

we don't want to leave a radical in the denominator so we can multiply numerator and denominator by \sqrt{3} to get:

4\sqrt{3} / 3 or \frac{4}{3}\sqrt{3}

7 0
3 years ago
Getting trained and licensed as a truck driver involves a one-time cost of $450. Gas and insurance end up costing about $2 per m
Anika [276]

The question is an illustration of a system of linear equations.

  • The system of linear equations is: y=450  + 2x and y = 350 + 6x
  • The solution to the equation is (25,500)

Let the number of miles be x.

<u>Getting trained and licensed</u>

  • One time cost: $450
  • Gas and Insurance: $2 per mile

So, the equation is:

y=450  + 2x

<u>Delivery</u>

  • First delivery: $350
  • Rate: $6 per mile

So, the equation is:

y = 350 + 6x

Hence, the system of linear equations is:

y=450  + 2x and y = 350 + 6x

To solve the equation, we equate both, as follows:

450 + 2x = 350 + 6x

Collect like terms

6x - 2x = 450 - 350

4x = 100

Divide both sides by 4

x = 25

Substitute 25 for x in y=450  + 2x

y = 450 + 2 \times 25

y = 450 + 50

y = 500

Hence, the solution to the equation is (25,500)

Read more about linear equations at:

brainly.com/question/14323743

7 0
3 years ago
What is -3/8 - (1/6)
Mrac [35]
Remove parentheses.

-3/8 -1/6

Find the Least Common Denominator (LCD) of 3/8, 1/6. In other words, find the Least Common Multiple (LCM) of 8,6.

LCD=24

Make the denominators the same as the LCD.

- 3x3/8x3 - 1x4/6x4

Simplify. Denominators are now the same

-9/24 - 4/24

Join the denominators

-9-4/24

Simplify

-13/24
7 0
3 years ago
For every 2 hours that Robert spends studying for a math test he spends 3 hours working on English. If he spends 21 hours one mo
nataly862011 [7]

Answer:

31.5 hours studying English

Step-by-step explanation:

2 math hours  = 3 english hours

21 math hours = ? english hours

21/2 = 10.5

10.5 * 3 = 31.5

5 0
3 years ago
The SAT mathematics scores in the state of Florida for this year are approximately normally distributed with a mean of 500 and a
creativ13 [48]
99.7%

This is because the likelihood of a point being within 2 SDs of the mean is 99.7%. 
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