<h3>
Answer: 12 & 2/3 km per hour</h3>
In decimal form, this is approximately 12.667 km per hour.
As an improper fraction, 12 & 2/3 = 38/3
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Explanation:
Let's use this formula
a & b/c = (a*c+b)/c
to convert the given mixed number to an improper fraction.
3 & 1/6 = (3*6+1)/6
3 & 1/6 = 19/6
The mixed number 3 & 1/6 is the same as the improper fraction 19/6
The hamster runs 19/6 km in 1/4 of an hour.
We can express that as the ratio
19/6 km : 1/4 hr
Multiply both parts by 4 so that the "1/4 hr" turns into "1 hr"
19/6 km : 1/4 hr
4*19/6 km : 4*1/4 hr
76/6 km : 1 hr
38/3 km : 1 hr
Harvey runs 38/3 km in 1 hour
Let's convert that to a mixed number
38/3 leads to a decimal, but 36/3 leads to a whole number
So,
38/3 = (36+2)/3
38/3 = 36/3 + 2/3
38/3 = 12 + 2/3
38/3 = 12 & 2/3
You can use your calculator to note that 38/3 = 12.667 approximately, which is also the value of 12 & 2/3, since 2/3 = 0.667 approximately. This helps confirm we did the conversion correctly.
Well, I Don't See The Answer Choices, But The Next Step Is Most Likely To Subtract 8 From Both Sides.
Answer:
(0.0147, 4.0147) and (-4.04, 0.04)
Step-by-step explanation:
Let the smaller number be x
Let the larger number be y
If a positive integer is 4 less than another, then;
x = y - 4 ...1
If 3 times the reciprocal of the smaller integer is subtracted from the reciprocal of the larger integer and result is -67, then;
1/y - 3(1/x) = -67
1/y -3/x = -67 ...2
Substitute 1 into 2
1/y - 3/y-4 = -67
y-4-3y/y(y-4) = -67
-4-2y = -67(y^2-4y)
- 4-2y = -67y^2 +268y
-67y^2 +268y+2y + 4 = 0
-67y^2 +270y + 4 =0
67y^2 -270y - 4 = 0
Factorize
-270±√270² - 4(-4)(67)/2(67)
= -270±√72,900+1072/134
= -270±271.97/134
= -270 -271.97/134 and -270 +271.97/134
= -541.97/134 and 1.97/134
x = 0.0147 and -4.04
y = x+4
y = 0.0147+4
y = 4.0147
If x = -4.04
y = -4.04 + 4
y = 0.04
Hence the pair of values are (0.0147, 4.0147) and (-4.04, 0.04)
Answer:11x + 15y + 23
Step-by-step explanation:
