Answer: D) 8-------------------------
The number outside the (n-1) term, which is 8, is the common difference. It tells us how much to increment by each time. In this case, the next term is found by adding 8 onto the previous term. That's exactly what
is saying.
Answer:24 inches cubed
Step-by-step explanation:
Pyramids with the same base and height of a rectangular prism are 1/3 the volume. So 72/3=24 inches cubed
Answer:
x = 60
y = 30
Step-by-step explanation:
We know that all triangles' interior angles combined must have a sum of 180.
Since the triangle on the left is a equilateral triangle, we know that each angle is equal to 60.
Since we already know that the sum of the two angles in the top right is 90 (shown by the right angle symbol) and we know that the angle that isn't y is equal to 60, we must do the following step:
90 - 60 = y
90 - 60 = 30
y = 30
Now that we know the value of y, it's time to find the value of x.
We know that y = 30 and that the angle in the bottom right is equal to 90 (shown by right angle symbol).
Since all triangles' interior angles combined must have a sum of 180 and we already know that one angle is equal to 30 and the other is equal to 90, we must do the following:
180 - (90 + y) = x
180 - (90 + 30) = x
180 - 120 = x
180 - 120 = 60
x = 60
This gives us the answers y = 30 and x = 60
Answer:
26 times
Step-by-step explanation:
Given
Without Coupon
per trip
With Coupon
per trip
Required
The number of trips to be taken for both option (i.e. with or without coupon) to be equal
<em>See comment for complete question</em>
Let the number of trips in a month be x.
<u>Without Coupon</u>
Total amount is:
<u>Without Coupon</u>
Total amount is:
To get x, we simply equate both options
Collect like terms
It is given in the question that in the lemon squash 2 parts concentrate is added to 5 parts of water. Thus it makes the concentrate to water ratio as 2:5 or 
. Now, if this ratio is maintained then the amount of water to be added to 90 ml concentrate in a glass can be calculated as:
Where x is the amount of water to be added, in ml (milliliters).
Cross multiplication of the above equation will give us:
Dividing both sides by 2 we will get:
Thus, if we put 90ml of concentrate in a glass, the water that should be added must be 225 ml.
