Answer:
The three numbers are 341, 342, and 343
Step-by-step explanation:
We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 1026. Therefore, you can write the equation as follows:
(X) + (X + 1) + (X + 2) = 1026
To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:
X + X + 1 + X + 2 = 1026
3X + 3 = 1026
3X + 3 - 3 = 1026 - 3
3X = 1023
3X/3 = 1023/3
X = 341
Which means that the first number is 341, the second number is 341 + 1 and the third number is 341 + 2. Therefore, three consecutive integers that add up to 1026 are 341, 342, and 343.
341 + 342 + 343 = 1026
We know our answer is correct because 341 + 342 + 343 equals 1026 as displayed above.
Answer:
75 buses needed
Step-by-step explanation:
3,600 people / each bus holds 48 people = 75
M+n+3+m+n+4
=3m+2n+7
answer
C. 3m+2n+7
Step-by-step explanation:
3/4
insert 1st point into y=mx+b
3=m(6)+b
insert 2nd point into y=mx+b
6=m(10)+b
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use system of equations to solve for m and b
b=3-6m
b=6-10m
3-6m=6-10m
4m=3
m=3/4
insert back into the equation
3=(3/4)6+b
3=9/2+b
3-9/2=b
-3/2=b
insert back into y=mx+b
m=slope
b=y-intercept
y=(3/4)x-3/2
slope=3/4
Hope that helps :)
Hey!
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The constant of proportionality is 0.27!
We could write a word problem for this. Like:
Jared had paid $0.27 for one pencil. How much would it cost to buy 5 pencils?
0.27 x 1 = $0.27
0.27 x 2 = $0.54
0.27 x 3 = $0.81
0.27 x 4 = $1.08
0.27 x 5 = $1.35
We can see that if Jared bought 5 pencils for $1.35. Since the proportionality is 0.27 just multiply how many times you need to.
We could also write this as: 
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Hope This Helped! Good Luck!
