Answer:
3.73 miles per hour
Step-by-step explanation:
12 Kilometers is 7.46 miles.
7.46/2 = 3.73 Miles per hour
Answer:
The new position of the bird is 1 ft below surface of pond.
Step-by-step explanation:
- Position of water bird after 15ft dive:
11-15= -4ft
- Position of water after rising 3 feet:
-4+3= -1ft
Therefor it id 1ft below the surface of the pond
Answer:
21 gallons.
Step-by-step explanation:
Let the number of gallons that the tank holds be x gallons.
1/2x + 7 = 5/6 x
5/6x - 1/2x = 7
5/6 x - 3/6 x = 7
1/3 x = 7
x = 21.
In order to multiply or divide a fraction by a mixed numeral, it is best to have them BOTH in fraction form. 1) We'll convert 1 2/5 into an improper fraction. (1×5)+2 = 7/5
Now 6/7 ÷ 7/5
2) when dividing by a fraction, it is the same to multiply by its reciprocal. So flip the second fraction and multiply them: 6/7 ÷ 7/5 = 6/7 × 5/7
3) reduce them: there is nothing on top that reduces with the bottom, so we simply multiply
4) multiply numerators, then multiply denominators and keep them in place: 6×5 = 30, 7×7 = 49
5) so our final answer is 30/49
Answer:
328 pages for the novel
123 pages for the second day
Step-by-step explanation:
Let the number of pages of the novel = x
Raw Equation
(1/4)x + 1/2 (3/4)x + 123 = x
Solution
(1/4)x + (3/8)x+ 123 = x
Change the fractions to common denominators.
(2/8)x + (3/8)x + 123 = x
Add the fractions.
(2/8 + 3/8)x + 123 = x
Subtract (5/8)x from both sides.
(5/8)x + 123 = x
(5/8)x- (5/8)x + 123 = x - (5/8)x
Multiply both sides by 8
123 = (3/8)x
123 * 8 = 3x
Divide by 3
984 = 3x
984/3 = 3x / 3
328 = x
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At the end of the second day, she read 3/8 * 328 = 123 pages.