Answer: See Below
Step-by-step explanation:
Create the equation:
$34 times the number of people plus the $50 cleaning fee has to be less than or equal to $3500
Or
34p + 50 <= 3500
34p <= 3450
p <= 101.470588....
We can have a part of a person attending the reception so we have to drop the remainder/decimal. Therefore the most amount of people that can attend the party and stay within budget is 101.
Answer:
c squared - a squared = b squared
Step-by-step explanation:
Since a squared + b squared = c squared
With these values it would equal 14 squared - 7 squared = c squared
Then after you find c squared, find the square root of it and there you have go your answer!
Answer:the percentage decrease is 36.67%
Step-by-step explanation:
Initial amount of sugar in his diet is 15 spoons in a day. Currently, the amount of sugar in his diet is 9 1/2 spoons in a day. Converting to decimal, it becomes 9.5 spoon in a day. The amount by which he reduced his sugar intake is 15 - 9.5 = 5.5 spoons.
Percentage decrease would be expressed as
Amount by which the intake decreased/ initial intake × 100
It becomes
5.5/15 × 100 = 36.67%
The answer is 9 thousand 8 hundred and 67
Answer: 
Step-by-step explanation:
You need to draw a Right triangle as the one attached, where "x" is the lenght of a ladder Andrew will need to reach the top and be out of the flower bed.
You must apply the Pythagorean Theorem. This is:
Where "a" is the hypotenuse and "b" and "c" are the legs of the Right triangle.
If you solve for "a", you get:
In this case, you can identify in the figure that:
Therefore, knowing those values, you can substitute them into and then you must evaluate, in order to find the value of "x".
This is:
