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lesya692 [45]
3 years ago
8

Problem page a delivery truck is transporting boxes of two sizes: large and small. the large boxes weigh 45 pounds each, and the

small boxes weigh 15 pounds each. there are 120 boxes in all. if the truck is carrying a total of 3300 pounds in boxes, how many of each type of box is it carrying?
Mathematics
1 answer:
marta [7]3 years ago
7 0
S= number of small boxes
l= number of large boxes

equation 1:  s+l=120
equation 2:  15s+45l=3300

solve by elimination, multiply equation 1 by -15.

-15(s+l=120) =  -15s-15l=-1800  add to equation 2.

-15s+15s-15l+45l=-1800+3300  = 30l=1500

30l=1500 , l=50

s+l=120, s+50=120 --> s=70

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Step-by-step explanation:

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4 years ago
Find the average value of the function on the given interval.<br> f(x)=(2x-1)1/2; [1,13]
Leni [432]

Answer:

The average value of the function on the given interval 6.5.

Step-by-step explanation:

Consider the given function is

f(x)=\dfrac{2x-1}{2}

We need to find the average value of the function on the given interval [1,13].

f(x)=\dfrac{2x}{2}-\dfrac{1}{2}

f(x)=x-0.5

The average value of the function f(x) on [a,b] is

Average=\dfrac{1}{b-a}\int\limits^b_a {f(x)} \, dx

Average value of the function on the given interval [1,13] is

Average=\dfrac{1}{13-1}\int\limits^{13}_{1} {x-0.5} \, dx

Average=\dfrac{1}{12}[\dfrac{x^2}{2}-0.5x]^{13}_{1}

Average=\dfrac{1}{12}[\dfrac{(13)^2}{2}-0.5(13)-(\dfrac{(1)^2}{2}-0.5(1))]

Average=\dfrac{1}{12}[78-0]

Average=6.5

Therefore, the average value of the function on the given interval 6.5.

6 0
3 years ago
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Mars2501 [29]
The answer would be C
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3 years ago
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What is 29.74 rounded to the nearest tenth?<br><br> A: 29.0<br> B: 29.6<br> C: 29.7<br> D: 30.0
kakasveta [241]

Answer:

The answer would be 29.7

Step-by-step explanation:

The reason is would be 29.7 is when you are rounding to the nearest tenth, you take the first number to the right after the decimal and if it is 4 or below it stays the same and 5 above and it goes up one.

I hope this is right. Let me know if this helped!!

6 0
3 years ago
Read 2 more answers
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