Answer:
y = 7, x = 7
Step-by-step explanation:
11y + 13 = 90
11y = (90 - 13)
11y = 77
y = 7
2x + 6 = 20 (because 20 is half of 40)
2x = (20 - 6)
2x = 14
x=7
For this example all you have to do is subtract -4/5 from both side
So the answer is 51/5=x
Answer:
A
Step-by-step explanation:
a geometric sequence is where we multiply a factor from element to element.
a1 = $900
a2 = 981 = a1 × f = 900 ×
a3 = 1069.29 = a2 × f = a1 × f × f = s1 × f²

so, now let's try and get f.
remember, 981 = 900 × f
f = 981/900 = 109/100 = 1.09
just to control, we check for s3 :
900 × (1.09)² = 900 × 1.1881 = 1069.29
correct.
so,
a13 = 900 × (1.09)¹² = 2,531.398304
s13 is then the sum of all a1, ..., a13
there is a nice formula for sums of finite sequences
s13 = 900 × (1-f¹³) / (1-f) = 900×(1-(1.09)¹³) / (1-1.09) =
= 900×(1-3.065804612) / (-0.09) =
= 900×(-2.065804612) / (-0.09) = 20,658.04612
.
Answer:
12
Step-by-step explanation:
(B x H)/2 = Area
do the inverse of this with the answer to find the result
84x2 = 168
168/14 = 12
H = 12
Let one pen be

and one pencil as

, we can produce two equations in terms of

and


------> Equation 1

------> Equation 2
We can use either Elimination or Substitution method. Let's try the substitution method
Rearranging equation one to get

and substitute into equation 2, gives





We can use either equation one or equation to work out




The price of one pen is $0.85
The price of one pencil is $0.32