4a = 2b-7
(4 x 3) = 2b-7
12 + 7 = 2b (As sign changes over an equals)
19 = 2b
19/2 = b
mark as brainliest
Answer:
-3
The problem:
The sum of four consecutive integers is - 18. What is the greatest of these
integers?
Step-by-step explanation:
If n is the first integer, then n+1 is the second integer, n+2 is the third integer, and n+3 is the fourth integer in consecutive order.
For example if n=8, we are saying n+1=9,n+2=10, and n+3=11, which I think you can see that 8,9,10,11 are consecutive.
So the sum is -18 which means:
n+(n+1)+(n+2)+(n+3)=-18
4n+6=-18
Subtract 6 on both sides:
4n=-18-6
Simplify:
4n=-24
Divide both sides by 4:
n=-6
If n=-6,
then:
n+1=-6+1=-5
n+2=-6+2=-4
n+3=-6+3=-3.
So the 4 consecutive integers whose sum is -18 is: -6,-5,-4, and -3.
The greatest of these integers is -3.
Answer:
x=4
Step-by-step explanation:
Since it's a parallelogram, the angle BCE(79) = angle CED(79)
so... 79+63 = 142
now...
142+8x+6=180(sum of angles in a triangle)
148+8x=180
8x=32
x=4
Answer:
Yusuf got 19 toffees
Step-by-step explanation:
The problem tells us that if Yusuf counts his toffees in 4's, he has 3 left. Let's call the number of toffees "t", then we know that
≡
We also know that
≡
Between 10 and 20, there are only 2 numbers t≡
, these numbers are 14 and 19.
However, 14≡
so it doesn't add up.
On the other hand, 19 ≡3
and therefore, this is the answer.
It's an example of all, the middle rails intersect with the side rails which the side rails are parallel to eachother and the side rails are perpendicular to the middle rails.