For this case we convert the mixed numbers to fractions:
Now we add the fractions:
We find the least common multiple of the denominators. The l.c.m is 8, then we divide by each denominator and multiply the result by each numerator.
8,375
Thus, the punch recipe implies 8.375 gallons. If we convert to a mixed number we have:
gallons
Answer:
gallons
The histogram which shows the results of the time trial is option B
<h3>Histogram</h3>
Given data:
12:32, 12:46, 13:30, 15:03, 13:43, 13:46, 14:20, 14:29, 12:34, 14:43, 15:26, 16:02, 16:16, 14:38, 16:55, 17:10, 14:26, 17:21, 17:58, 13:30
Grouping of data,:
12:00 - 12:59 = 3
13:00 - 13:59 = 4
14:00 - 14:59 = 5
15:00 - 15:59 = 2
16:00 - 16:59 = 3
17:00 - 17:59 = 3
- The frequency is represented on the y-axis(number of cyclist)
- The time is represented on the x-axis
Learn more about histogram:
brainly.com/question/9388601
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The consecutive positive integers would be: x and (x+1),
We would have to solve the following equation to find these numbers:
x(x+1)-[x+(x+1)]=29
x²+x-2x-1=29
x²-x-30=0
x=[1⁺₋√(1+120)]/2
x=(1⁺₋11)/2
We have two possible solutions:
x₁=(1-11)/2=-5 then: (x+1)=-5+1=-4 This is not the solution.
x₂=(1+11)/2=6 then: (x+1)=6+1=7 This solution is right.
Answer: the numbers would be 6 and 7.
Answer: the domain of f(x)=2x+2 is all real numbers and the domain of g(x)=x^2 is (0, infinity)
Step-by-step explanation:
there is no horizontal asymptote given
As I read this one, is just a decay exponential equation... so
A = P(1 + r)ᵗ where "t" is days passed. . hmm in this case is decay, so negative rate A = P(1 - r)ᵗ, and the decimal amount would be 0.00877 for the rate
62% of P, the original value, is just 0.62P, now... if we hmm take P as just 1, it could be any amount, but 62% of 1,000,000 is just 62% of 1 times 1,000,000
so, for the sake of comparing it with a percentage, 1 will do
![\bf 0.62P=P(1-0.00877)^t\implies P=1\implies 0.62=(1-0.00877)^t \\\\\\ ln(0.62)=ln[(1-0.00877)^t]\implies ln(0.62)=t\cdot ln(1-0.00877) \\\\\\ \cfrac{ln(0.62)}{ln(0.99123)}=t](https://tex.z-dn.net/?f=%5Cbf%200.62P%3DP%281-0.00877%29%5Et%5Cimplies%20P%3D1%5Cimplies%200.62%3D%281-0.00877%29%5Et%0A%5C%5C%5C%5C%5C%5C%0Aln%280.62%29%3Dln%5B%281-0.00877%29%5Et%5D%5Cimplies%20ln%280.62%29%3Dt%5Ccdot%20%20ln%281-0.00877%29%0A%5C%5C%5C%5C%5C%5C%0A%5Ccfrac%7Bln%280.62%29%7D%7Bln%280.99123%29%7D%3Dt)
