Conversion a mixed number 3 3
7
to a improper fraction: 3 3/7 = 3 3
7
= 3 · 7 + 3
7
= 21 + 3
7
= 24
7
To find new numerator:
a) Multiply the whole number 3 by the denominator 7. Whole number 3 equally 3 * 7
7
= 21
7
b) Add the answer from previous step 21 to the numerator 3. New numerator is 21 + 3 = 24
c) Write previous answer (new numerator 24) over the denominator 7.
Three and three sevenths is twenty-four sevenths
Conversion a mixed number 4 5
7
to a improper fraction: 4 5/7 = 4 5
7
= 4 · 7 + 5
7
= 28 + 5
7
= 33
7
To find new numerator:
a) Multiply the whole number 4 by the denominator 7. Whole number 4 equally 4 * 7
7
= 28
7
b) Add the answer from previous step 28 to the numerator 5. New numerator is 28 + 5 = 33
c) Write previous answer (new numerator 33) over the denominator 7.
Four and five sevenths is thirty-three sevenths
Add: 24
7
+ 33
7
= 24 + 33
7
= 57
7
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 the both denominators - LCM(7, 7) = 7. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 7 × 7 = 49. In the next intermediate step the fraction result cannot be further simplified by cancelling.
In words - twenty-four sevenths plus thirty-three sevenths = fifty-seven sevenths.
The line is going down (from left to right), so it has a negative slope
horizontal lines have zero slope
vertical lines have undefined slope
lines going up (from left to right) would have positive slope
This is going down so it is Choice B
<em>Answer:</em>
<em>Step-by-step explanation:</em>
<h2><u><em>
21u²</em></u></h2>
The formula for the area of a parallelogram is base times height
so
x = 7 (base)
y = 5
h = 3 (height)
7 * 3 =
21u²
We want to solve
Subtract 2/(2x+1) from each side.
Add 1/4 to each side, and simplify the left side.
Cross multiply.
4(x - 2) = 1(2x + 1)
4x - 8 = 2x + 1
Simplify and solve for x.
4x - 2x = 1 + 8
2x = 9
x = 9/2 or x = 4 1/2.
Answer:
Answer:
Step-by-step explanation:
<u>Given</u>
<u>Solution</u>
- - 6x + (-4x) = -50
- -10x = -50
- x = -50/-10
- x = 5
- y = -4*5 = -20
