<h3>
Answer: 18</h3>
Reason:
Subtract any pair of adjacent terms
- d = term2 - term1 = -74 - (-92) = -74+92 = 18
- d = term3 - term2 = -56- (-74) = -56+74= 18
- d = term4 - term3 = -38- (-56) = -38+56= 18
- d = term5 - term4 = -20- (-38) = -20+38= 18
Each time we get the same value to confirm that we have an arithmetic sequence of common difference 18.
18-inch piece per present.
There are 7 presents
That means the total amount needed would be 18 * 7 = 126
The person has 120. 120 is less than 126, so no there isn't enough.
Answer:
If we are assuming that this is a direct variation, y would be equal to 99.
Step-by-step explanation:
To find this, we start with the base equation for direct variation.
y = kx
Now we find k by plugging in our original values for x and y.
y = kx
36 = k(4)
9 = k
Now that we have k, we can model the equation.
y = 9x
And we can use the value of 11 in the next equation to find y.
y = 9x
y = 9(11)
y = 99
We know that the formula for the area of a rectangle is:
We know that the area is 165. Now we need to solve for the dimensions.
Let the width of the rectangle be "

"
Then the length of the rectangle is
Substitute.
Multiply the terms.
Bring the 156 over.
We have to use the quadratic formula to solve this now. Let us restate it:

Now I'm going to fast forward this because all the rest is boring stuff and substitution. The answer is:

Since we cannot have a negative answer, we must cancel out the other answer, which I did not include.
Hope this helped! :)
~Cam943, Junior Moderator
Answer:
16.8
Step-by-step explanation:
Because 2 to 8.4 is a scale factor of 1:4.2, you must solve 4*4.2. 4*4.2=16.8, so side OM is 16.8.