Substitution:
2x + (6(1/2x - 6)) = 19
2x + 3x - 36 = 19
5x - 36 = 19
+ 36
5x = 55
÷ 5
x = 11
y = (1/2 × 11) - 6
y = 5.5 - 6
y = -0.5
Elimination:
y = 1/2x - 6
- y
0 = 1/2x - 6 - y
+ 6
1/2x - y = 6
3x - 6y = 36
2x + 6y = 19
(add)
5x = 55
÷ 5
x = 11
y = (1/2 × 11) - 6
y = 5.5 - 6
y = -0.5
I hope this helps! Let me know if you need me to explain why I did some things :)
Answer: 168 inches.
Explanation:
First thing you must always do when solving word problems is read closely, and take note of any number.
In this case, the first thing we must do is find the scale factor.
For this, we use one of the dimensions. We will use the width of the photo.
We have then:
k = 132/11
k = 12
Then, we look for the value of the height of the new photo. To do this, we multiply the scale factor by the original dimension.
We have then:
14k = 14 (12) = 168
Thus, 168 inches is your answer! :)
Hope this helps! :)
Answer:
<u>207.35 inches</u>
Step-by-step explanation:
The wheel is in the shape of circle. The height, here, basically gives the diameter.
So,
Diameter = 66 in
Radius is half of diameter, so radius is:
66/2 = 33 inches
r = 33
Now, the distance truck travels when 1 rotation is made is the length of the perimeter of the circular wheel, or the circumference.
The formula is:
Where C is circumference
r is the radius
Substituting, we get the answer as:
The distance covered is about <u>207.35 inches</u>
Step-by-step explanation:
-2, -8/3, -10/3, -4, -14/3
Write as multiples of 1/3.
-6/3, -8/3, -10/3, -12/3, -14/3
This is an arithmetic sequence where the first term is -6/3 and the common difference is -2/3.
Therefore, the recursive formula is:
aᵢ₊₁ = aᵢ − 2/3, a₁ = -2
To find the answer to the question we do the equation
Which gets us our answer of 20%
