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GarryVolchara [31]
3 years ago
9

Jambi can 148 mile bicycle trip to build up stamina for a triathlon competition unfortunately his bicycle chain broke so he fini

shed walking the trip walking the whole trip took five hours of jam walks at a rate of 3 mph and rides at 41 mph find the amount of the time he spent on the bicycle
Mathematics
1 answer:
Jobisdone [24]3 years ago
5 0

Walking at 3mph he wouldve walked 15 miles in 5 hours, leaving 133 miles on bike.

133/41=3.24390244hours on the bike

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How to do the problem
MrMuchimi
Order of operations are:
<span>1. Parentheses (simplify inside 'em)
2. Exponents
3. Multiplication and Division (from left to right)
<span>4. Addition and Subtraction (from left to right)

So, on your first one:
Parentheses first:
8(3+4)-2*8/(5-3)
8(7)-2*8/(2)

There are no exponents so multiplication and division:
56-16/2
56-8

Finally, addition and subtraction:
56-8=48

Your second problem is a bit more complicated but follows the same rules:
</span></span>( 8^{2}+(13-4) ^{2} )/5
<span><span>
Parentheses first:
</span></span>( 8^{2}+ 9^{2})/5)
<span><span>
Now, exponents. Even though they are inside parentheses, we can't go further until we simply those.
(64+81)/5

Now back to parentheses:
(145)/5

Division:
145/5=29

Hope that helps</span></span>
8 0
3 years ago
For the function​ below, find a formula for the upper sum obtained by dividing the interval [a comma b ][a,b] into n equal subin
Vlad [161]

Answer:

See below

Step-by-step explanation:

We start by dividing the interval [0,4] into n sub-intervals of length 4/n

[0,\displaystyle\frac{4}{n}],[\displaystyle\frac{4}{n},\displaystyle\frac{2*4}{n}],[\displaystyle\frac{2*4}{n},\displaystyle\frac{3*4}{n}],...,[\displaystyle\frac{(n-1)*4}{n},4]

Since f is increasing in the interval [0,4], the upper sum is obtained by evaluating f at the right end of each sub-interval multiplied by 4/n.

Geometrically, these are the areas of the rectangles whose height is f evaluated at the right end of the interval and base 4/n (see picture)

\displaystyle\frac{4}{n}f(\displaystyle\frac{1*4}{n})+\displaystyle\frac{4}{n}f(\displaystyle\frac{2*4}{n})+...+\displaystyle\frac{4}{n}f(\displaystyle\frac{n*4}{n})=\\\\=\displaystyle\frac{4}{n}((\displaystyle\frac{1*4}{n})^2+3+(\displaystyle\frac{2*4}{n})^2+3+...+(\displaystyle\frac{n*4}{n})^2+3)=\\\\\displaystyle\frac{4}{n}((1^2+2^2+...+n^2)\displaystyle\frac{4^2}{n^2}+3n)=\\\\\displaystyle\frac{4^3}{n^3}(1^2+2^2+...+n^2)+12

but  

1^2+2^2+...+n^2=\displaystyle\frac{n(n+1)(2n+1)}{6}

so the upper sum equals

\displaystyle\frac{4^3}{n^3}(1^2+2^2+...+n^2)+12=\displaystyle\frac{4^3}{n^3}\displaystyle\frac{n(n+1)(2n+1)}{6}+12=\\\\\displaystyle\frac{4^3}{6}(2+\displaystyle\frac{3}{n}+\displaystyle\frac{1}{n^2})+12

When n\rightarrow \infty both \displaystyle\frac{3}{n} and \displaystyle\frac{1}{n^2} tend to zero and the upper sum tends to

\displaystyle\frac{4^3}{3}+12=\displaystyle\frac{100}{3}

8 0
4 years ago
If 8 people shared 44 crackers equally how many crackers does each person get​
ryzh [129]

Answer:

Each person gets 5 and 1/2 crackers.

Step-by-step explanation:

44/8=5.5

7 0
3 years ago
Read 2 more answers
Alexa took a taxi from her house to the airport. The taxi company charged a pick-up fee of $4.20 plus $0.25 per mile. The total
nevsk [136]

Answer:

8

Step-by-step explanation: 6.20-4.20=2.00 2.00 divide by 25 for each mile = 8

5 0
3 years ago
Latasha went to the fabric store and bought 3 1/4 yards of red fabric and 3 1/2 yards of blue fabric. how many yards of fabric d
Lynna [10]
2 \dfrac{2}{3} + 3 \dfrac{1}{9}  = 2 \dfrac{6}{9} + 3 \dfrac{1}{9} = 5 \dfrac{7}{9}

\bf \text {Answer : } 5 \dfrac{7}{9} \text { yards of fabric}
6 0
3 years ago
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