Answer:
He simplified the x coefficients incorrectly
Step-by-step explanation:
Answer:
-2 - 5n
Step-by-step explanation:
-7, -12, -17, -22, -27.....
Arithmetic Sequence
first term a = -7
difference = d = -12 - (-7) = -12 + 7 = (-5)
nth term = a + (n-1)d
= -7 + (n-1)*(-5)
= -7 + (-5)*n -1 * (-5)
= -7 - 5n + 5
= -2 - 5n
Step-by-step explanation:
Let's take cost of 1 hamburger as h and the cost of 1 hot dog as d.
Therefore, we can form the equations:
3h + 2d = 13 and
2h + 4d = 14
2(h +2d) = 14
h + 2d = 7
h = 7 - 2d
By substituting this to the first equation, we get:
3(7 - 2d) + 2d = 13
21 - 4d = 13
4d = 8
d = $2
h = 7 - 2(2)
h = $3
Hence <u>1 hot dog costs $2</u> and <u>1 hamburger costs $3</u>
Answer:
8 cylinders
Step-by-step explanation:
The surface area of a cylinder is given by the formula ...
A = 2πr(r +l) . . . . . for radius r and length l
__
The cylinders Rufus has each have an area of ...
A = 2π(5 cm)(5 cm +4 cm) = 90π cm² ≈ 282.74 cm²
That means 2500 cm² of paint will cover ...
2500 cm²/(282.74 cm²/cylinder) ≈ 8.84 cylinders
Rufus has enough paint to cover 8 cylinders completely.
Answer:
The smallest number is 7
Step-by-step explanation:
Using simultaneous equation;
x+y = 18.....(1)
4x-y = 17.....(2)
from equation (1)..
x+y = 18
y = 18-x...(3)
substitute y into equation (2)
4x-y = 17
4x-(18-x) = 17
4x-18+x = 17
4x+x = 17+18
5x = 35
x = 35÷5
x = 7
substitute x into equation (3)
y = 18-x
y = 18-7
y = 11
Therefore; x=7
y=11
11+7=18
(4×7)-11=17
the smallest number is 7
