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adell [148]
3 years ago
15

Julio, Amari, and Henry take turns unloading a trailer holding 240 cases of soda. First, Julio unloads 15 of all the cases. Next

, Amari unloads 117 of the remaining cases.
How many cases of soda are still left on the trailer for Henry to unload?
Mathematics
2 answers:
kumpel [21]3 years ago
8 0

Answer:

answer: 55

Step-by-step explanation:

Alinara [238K]3 years ago
5 0

Answer:

8

Step-by-step explanation:

240 - 15 = 225

225 - 117 = 8

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Evaluate the integral
Kruka [31]

Hello, please consider the following.

\displaystyle \begin{aligned} \int\limits^x {5sin(5t)sin(t)} \, dt &= -\int\limits^x {5sin(5t)} \, d(cos(t))\\ \\&=-[5sin(5t)cos(t)]+ \int\limits^x {25cos(5t)cos(t)} \, dt\\\\&=-5sin(5x)cos(x)+ \int\limits^x {25cos(5t)} \, d(sin(t))\\ \\&=-5sin(5x)cos(x)+[25cos(5t)sin(t)]+ \int\limits^x {25sin(5t)sin(t)} \, dt\\\\&=-5sin(5x)cos(x)+25cos(5x)sin(x)+ \int\limits^x {(25*5)sin(5t)sin(t)} \, dt\end{aligned}

And we can recognise the same integral, so.

\displaystyle (25-1)\int\limits^x {5sin(5t)sin(t)} \, dt= +5sin(5x)cos(x)-25cos(5x)sin(x)

And then,

\displaystyle \Large \boxed{\sf \bf\int\limits^x {5sin(5t)sin(t)} \, dt=\dfrac{5sin(5x)cos(x)-25cos(5x)sin(x)}{24}+C}

Thanks

3 0
3 years ago
A pair of equations is shown below:
Tema [17]
Eay peasy

solve graphically
graph them and find the poitn that they intersect at

y=mx+b
m=slope
b= y intercept

y=7x-9
slope=7
yintercept=-9

y=3x-1
slope=3
yinercept=-1

I have attached graph below


easier way would be to simply sub them and solve
7x-9=y=3x-1
7x-9=3x-1
4x-9=-1
4x=8
x=2

y=3x-1
y=3*2-1
y=6-1
y=5
(2,5) is solution

3 0
3 years ago
Read 2 more answers
Four (4) fair dice are rolled. what is the probability that the total is 21
liberstina [14]
Short Answer 5/216
Comment
The question really is, how many different types of throws with 4 dice will give 21? You can count them

Pattern 1
6663 

Pattern 2
5556

Pattern 3 [ The hard one]
6654

Patterns 1 and 2 give 4 each.
6 6 6 3
6 6 3 6
6 3 6 6
3 6 6 6

5553 will do the same thing

Both can be found by (4/1) as a combination. 

Now for 6654 That gives 12

6 6 5 4
6 6 4 5
6 5 4 6
6 5 6 4
6 4 5 6
6 4 6 5
5 6 4 6
5 6 6 4
5 4 6 6
4 5 6 6
4 6 5 6
4 6 6 5

That should total 12 
The total number of ways of getting 21 with this pattern is 12

Total successes
12 + 4 + 4 = 30

What is the total number of ways you can throw 4 dice?
Total = 6 * 6 * 6 * 6 = 1296

What is the probability of success?
30 / 1296 = 5 / 216
4 0
3 years ago
What can you determine from the bar graph shown?
gladu [14]

Answer:

More money was spent on the fall dance, than the spring dance.

7 0
2 years ago
Read 2 more answers
Fraction form of 2^-2 can someone help me please?
Masja [62]

Answer:

2/-2

Step-by-step explanation:

2 is the numberator and -2 is the denominator.

8 0
3 years ago
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