~You would set up the equation x+(3x+5)=6565
~Combine like products so 3x+x=4x.
~Now you have 4x+5=6565.
~Isolate the variable by subracting the 5 from both sides, so you have 4x=6560.
~Since you multiply x by 4, divide both sides by 4, and 6560 divided by 4 is 1,640.
*The first number is 1,640.
~Now to find the second number you simply plug in 1,640 to (3x+5), with 1,640 being x.
~That would become [3(1,640)+5].
~3 times 1, 640 is 4,920, and add the 5 so you get 4,925.
*The second and larger number is 4,925.
If you wanna check just add the two numbers, and you get 6565.
Answer:
4:24 p.m.
Step-by-step explanation:
Figure out how often the buses leave at the same time. This is the same as the least common multiple (LCM) of how often they leave the stadium.
The LCM is found by multiplying the maximum number of each prime factor found in any of the numbers.
The prime factors of a number are found by dividing it by whole numbers until the factors are all prime. Prime numbers only have the factors 1 and itself.
6 = 2 X 3
8 = 2 X 2 X 2
The greatest times 2 repeats is three times.
The greatest times 3 repeats is one time.
2 X 2 X 2 X 3 = 24
The LCM is 24, and the buses have the same leaving times every 24 minutes.
Find 24 minutes after 4:00 p.m. Change the minutes only, which are the numbers right of the colon : .
The buses will next leave together at 4:24 p.m.
Answer:
2
Step-by-step explanation:
Divide the 2nd term by the 1st to find the common ratio or n.
Answer:
The area is 105.5ft^2
Step-by-step explanation:
Required
The area of the composite figure
The figure can be divided to 2 shapes
(1) Rectangle: Length = 6ft and Width = 8ft
(2) Trapezoid: Height = 5ft (i.e. 8 - 3), Parallel sides = 9ft and 14ft (i.e. 20 - 6)
The area of the rectangle is:
The area of the trapezoid is:
So, the area of the garden is:
Answer:
<em>x = 7</em>
Step-by-step explanation:
Simplifying
17 = 3X + -4
Reorder the terms:
17 = -4 + 3X
Solving
17 = -4 + 3X
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '-3X' to each side of the equation.
17 + -3X = -4 + 3X + -3X
Combine like terms: 3X + -3X = 0
17 + -3X = -4 + 0
17 + -3X = -4
Add '-17' to each side of the equation.
17 + -17 + -3X = -4 + -17
Combine like terms: 17 + -17 = 0
0 + -3X = -4 + -17
-3X = -4 + -17
Combine like terms: -4 + -17 = -21
-3X = -21
Divide each side by '-3'.
X = 7
Simplifying
X = 7
