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Ivanshal [37]
3 years ago
14

Kayla adds the same number to both the numerator and denominator of the fraction 1/10 her resulting fraction equals 2/3 what num

ber did she add to both numerator and denominator of her original fraction
Mathematics
1 answer:
Ber [7]3 years ago
4 0

Answer:

17 is added to both numerator and denominator.

Step-by-step explanation:

Given:

Fraction = 1/10

New fraction = 2/3

Find:

Number added to both numerator and denominator.

Computation:

Assume,

a is added to both numerator and denominator.

\frac{1+a}{10+a}=\frac{2}{3}\\\\3 + 3a=20+2a\\\\3a-2a=20-3\\\\a=17

Therefore, 17 is added to both numerator and denominator.

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MARK BRAINIEST The base of a triangle is 7 3/4 inches, and the height is 4 2/3 inches. What is the area of the triangle? A) 14 4
Keith_Richards [23]
Short Answer: B
Remark
The area of any triangle is 
A = 1/2 b * h
b = 7 3/4
h = 4  2/3

Step one
Convert all fractions to improper fractions.

7 3/4 = (28 + 3) / 4 = 31/ 4

4 2/3 = (12 + 2) / 3 = 14/3 Now multiply

Step Two
Multiply
Area = 1/2 * 31/4 * 14/3 Multiply the numerators together and then the denominators.
Area = (1 * 31 * 14) / (2 * 4 * 3) = 434 /24

Step 3
Convert this to a whole number + a fraction

Area = 18 + 0.08333333 You already have your answer. It is  B because only B gives an answer of 18. But you can get the rest of 

Let x = 0.083333333
100 x = 8.3333333333 
 <u>x =       0.0833333333 </u>  Subtract
99  x = 8.25 Divide by 3 on both sides.
33 x = 2.75  Divide by 11
3x  = 0.25  
x = 0.25/3 Multiply top and bottom by 4
x = 1 / 12

The answer is 18 1/12. 

3 0
3 years ago
13 inches = __ ft<br> PLS HELP PLS
Radda [10]

Answer:

1.083

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the mean for 87,93,86,90,84
lys-0071 [83]
Mean, or average, is solved by adding all the numbers and dividing by the number of numbers. The answer is 88. 
4 0
3 years ago
Read 2 more answers
After a 16% increase the price of a pair of running shoes was $40.60. What was the old price of the shoes
Delvig [45]

Answer:

34.10

Step-by-step explanation:

Note:

16% = .16

Important:

What was the <u>old price</u> of the shoes

Solution:

40.60 x .16 = 6.946 [Round:6.50]

40.60-6.50= 34.10

Hence, the old price of the shoes is $34.10

5 0
2 years ago
Equation parallel to y = 3x + 2 and passing through (1, 1)
Kisachek [45]

Answer:

y = 3x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 2 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes, then

y = 3x + c ← is the partial equation

To find c substitute (1, 1) into the partial equation

1 = 3 + c ⇒ c = 1 - 3 = - 2

y = 3x - 2 ← equation of line

6 0
3 years ago
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