To answer this you have to use Pythagoras's theorem: a^2 + b^2 = c^2
Put in the values:
5^2 + 15^2 = c^2
Simplify it:
25 + 225 = c^2
Simplify again:
250 = c^2
Square root both sides:
15.8113883008 = c
So the ramp is:
15.8113883008 feet
Now round the number:
15.8ft
The above is the answer :)
(btw sorry in advance if you've spotted a mistake)
He traveled 2080 miles after 4 hours. He covered 3640 miles in 7 hours with a constant speed, so we can calculate the speed: 3640/7=520 miles/hour. After 4 hours, he traveled 520*4=2080 miles.
I'll treat these like they're two seperate problems because how you set it up they're not together. If it's one whole problem please tell me and I'll solve it that way. :-)
First one: 3x+9+8x + 12
Collect like terms and simplify
(3x+8x)+(9+12)
11x+21
Second one: 2x + 6+x² + 6x + 9
Collect like terms and simplify

8x+15+
Hope this helps you, have a BLESSED and wonderful day, as well as a safe one!
-Cutiepatutie ☺❀❤
Answer:
Part 1)
-------> 
Part 2)
--------> 
Part 3)
------> 
Part 4)
------> 
Step-by-step explanation:
Part 1) we have

To calculate the division problem convert the decimal number to fraction number
so

Remember that
Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

Simplify
Divide by 22 both numerator and denominator

Part 2) we have

To calculate the division problem convert the mixed number to an improper fraction

so

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

Convert to mixed number

Part 3) we have

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

Simplify
Divide by 5 both numerator and denominator

Part 4) we have

To calculate the division problem convert the mixed number to an improper fraction

so

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

Answer:
$500 and $2000
Step-by-step explanation:
Let x represent the total investment = $2500
also, this total is split into two different funds
Lets represent these funds as a and b, such that fund a yields a profit of 3% and fund b yield a profit of 5%
So,
a + b = x
a + b = 2500 ......eq 1
Profit from each fund gives;
0.03 a + 0.05b = 115 ....eq 2
Solve simultaneously using substitution method
From eq 1;
b = 2500 - a
Slot in this value in eq 2
0.03a + 0.05 (2500 - a) = 115
expand
0.03a + 125 - 0.05a = 115
collect like terms
0.03a - 0.05a = 115 - 125
-0.02a = -10
Divide both sides by -0.02
a = $500
Put this value of a in eq 1
500 + b = 2500
Subtract 500 from both sides
b = 2500 - 500
b = $2000