The miles the student biked in two weeks is 11 2/3 miles.
The distance the student bikes is given in fractions. Fractions are numbers that are made up of numerator and denominators. An examples of a fraction is 1/4. 1 is the numerator and 4 is the denominator.
In order to determine the distance biked in 2 weeks, the distance biked in a day has to be determined.
Distance biked in a day = (1/4 + 1/3 + 7/12)
14/12 = 1 2/12 = 1 1/6
Distance he would travel in 2 weeks
1 1/6 x 10
7/6 x 10 = 70 /6 = 11 2/3 miles
To learn more about fractions, please check: brainly.com/question/848992
<h3>
Answer: AC = sqrt(21)/2</h3>
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Explanation:
Triangle CDA is congruent to triangle CDB. We can use the HL (hypotenuse leg) congruence theorem to prove this. This only works because we have two right triangles.
Since CDA and CDB are congruent, this means their corresponding pieces are the same length. Specifically AD = DB, so
AD+DB = AB
AD+AD = 3
2*AD = 3
AD = 3/2 = 1.5
For triangle CDA, we have AD = 3/2 = 1.5 and CD = sqrt(3). We can use the pythagorean theorem to find the missing side AC
a^2 + b^2 = c^2
(AD)^2 + (CD)^2 = (AC)^2
(3/2)^2 + (sqrt(3))^2 = (AC)^2
9/4 + 3 = (AC)^2
(AC)^2 = 9/4 + 3
(AC)^2 = 9/4 + 12/4
(AC)^2 = 21/4
AC = sqrt(21/4)
AC = sqrt(21)/sqrt(4)
AC = sqrt(21)/2
This is the same as writing (1/2)*sqrt(21) or 0.5*sqrt(21)
Step-by-step explanation:
Given
y = - 8 /5 x + 2
Comparing the given equation with y = mx + c
slope (m) = - 8/5
Hope it will help :)
Answer:
1/3 of an hour = 60/3 = 20 minutes.
250 words / 20 minutes = 12.5 words per minute.
This can be rounded to 13 words per minute as an approximation.
Answer:
answers are in the attached file!
Step-by-step explanation:
these are super simple to solve if you break it down! in order to turn a mixed number into an improper fraction, you first need to multiply the whole number by the <em>denominator</em> of the fraction. then, you add the numerator of the fraction to the product of the multiplication problem. that answer is then the new numerator of the fraction! the denominator will stay the same.
for example, the very first one that is given in the picture is 6 1/2. 6•2 equals 12, plus the numerator, 1, gives 13.
