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arsen [322]
2 years ago
6

Divide 7/24 by 35/48 and reduce the quotient to the lowest fraction

Mathematics
2 answers:
olchik [2.2K]2 years ago
4 0
Given:
1st fraction - 7/24
2nd fraction - 34/48

Rules in dividing fractions:

1) Get the reciprocal of the 2nd fraction.
34/48 becomes 48/34

2) Multiply the 1st fraction to the reciprocal of the 2nd fraction
7/24 * 48/34 = 7*48 / 24*34 = 336/816

3) Simplify the fraction
336/816 ⇒ 112/272 ⇒ 56/136 ⇒ 14/34 ⇒ 7/17

336 ÷ 3 = 112
816 ÷ 3 = 272

112 ÷ 2 =   56
272 ÷ 2 = 136

  56 ÷ 4 =   14
136 ÷ 4 =   34

  14 ÷ 2  =     7
  34 ÷ 2 =   17

7/24 ÷ 35/48 = 7/17
kifflom [539]2 years ago
3 0
7/24 ÷ 35/48

= 7/24 × 48/35.    7 into 35 is 5. 24 into 48 is 2.

= 2/5
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Find the value of r so the line that passes through the pair of points has the given slope. (3, 5), (−3, r), m=34
frez [133]

The value (y2) of r = 1/2.

This question relates to equation of a straight line but we are looking for the slope in this case.

<h3>Slope</h3>

This is the ratio to which we measure the change along the y-axis to the change along the x-axis. The formula is given as

m = \frac{y_2 - y_1}{x_2 - x_1}

Data given;

  • x1  = 3
  • x2 = -3
  • y1 = 5
  • y2 = r
  • m = 34 or 3/4

Substitute the values into the equation and solve for the unknown

NB; we are assuming that the slope here is 34 and not 3/4.

m = \frac{y_2 - y_1}{x_2 - x_1} \\34 = \frac{r - 5}{-3 - 3}\\34 = \frac{r - 5}{-6}\\

cross multiply both sides and make r the subject of formula

34 * -6 = r - 5\\-204 = r - 5\\r = -204+5\\r = -199

the value of r = -199.

This is not mathematically obtainable and we would use 3/4 as the value of slope

\frac{3}{4}= \frac{r - 5}{-3 - 3}\\\frac{3}{4}=\frac{r - 5}{-6}\\4(r-5) = 3 * -6\\4r- 20 = -18\\4r = -18 +20\\4r = 2\\r = \frac{1}{2}

The most logical value of r = 1/2

Learn more on slope here;

brainly.com/question/4074386

7 0
2 years ago
3.14•8.7•8.7•14.7 <br> Round to the nearest hundreds
Trava [24]

Answer:

3493.70

Step-by-step explanation:

if you multipy all these in a calculator you get a long number, look at the third digit behind the decimal, if its 5+ then make the second digit behind the decimal one number higher. If its 4 or under than keep the number the same. To round, cut off all the digits behind the second digit thats past the secimal

5 0
3 years ago
102,119,107,113,110, x; mean 114
Rom4ik [11]

Answer:

x = 133

Step-by-step explanation:

First, determine what total sum would be needed for the mean to be 114. Do this by multiplying 114 by 6 (bc total number of values in data set includes the variable <em>x</em>).

114 x 6 = 684

Next, add the five known values to get a sum of 551.

Now, just: 684 - 551 = 133

For the mean to be 114, x must equal 133.

6 0
3 years ago
Which value is equivalent to 3 x 12 / ( 4 + 2)<br><br>A 6<br><br>B 11<br><br>C 12<br><br>D 15​
konstantin123 [22]
3x12/(4+2)

36 divided by 6 = 6

Your answer is A 6

8 0
2 years ago
B. If 3x - 3 and 5x + 7° are the angle of a linear pair, find their measurement the angle<br>​
ankoles [38]

Answer:

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the angles are: 63° and 117°

Step-by-step explanation:

a linear pair of angles total together to be 180°

so:

3x - 3 + 5x + 7 = 180

combune like terms:

8x = 176

divide both sides of the equation by 8:

x = 22°

the angles are: 63° and 117°

7 0
2 years ago
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