Answer:
x = 7.5
Step-by-step explanation:
Given that BE is parallel to CD and intersects the 2 other sides, then it divides the 2 sides in proportion, that is
= 
, substitute values
= 
( cross- multiply )
8x = 60 ( divide both sides by 8 )
x = 7.5
Answer:
84 cubic feet
Step-by-step explanation:
First, multiply the numbers to get the volume.
5 2/5 * 4 2/3= 25 1/5
25 1/5 * 4 4/9= 112
Then, we can find 3/4 of that.
112*3/4=84.
Answer:
The teacher can purchase 61 pencils with $5
Step-by-step explanation:
This is a simple proportion problem. It can be solved by pure logic reasoning without any formulas
It a dozen pencils cost $0.97, each pencil cost $0.97/12=0.08083
With $5 she will be able to purchase 5/0.08083=61.85 pencils
We must round to the nearest lower integer
The teacher can purchase 61 pencils with $5
Answer:
x=9/2
Step-by-step explanation:
<span>The sum of 324, 435, and 546 is 1305. If this number were to be expressed by the base of 7, we would need to figure out what value of exponent would satisfy the requirement. This can be done by setting up an equation where 7 to the power of x must equal 1305. Using logarithms, one can solve for x and find it to be 3.6866853. Thus the sum of the aforementioned numbers, expressed in by the base of 7, is 7^3.6866853.</span>
