<h3>
Answer: 22 gallons</h3>
Explanation:
x = max number of gallons the tank can hold
Greg's car starts off 1/3 full, so (1/3)x = x/3 number gallons is in the car.
Add on 11 more gallons to get (x/3) + 11 = x/3+33/3 = (x+33)/3
The expression (x+33)/3 represents the number of gallons he has after buying 11 gallons of gas. This is equal to (5/6)x since this represents the idea of the tank being 5/6 full
The equation we need to solve is (x+33)/3 = (5/6)x
Let's do so to get...
(x+33)/3 = (5/6)x
(x+33)/3 = (5x)/6
6(x+33) = 3*5x
6x+198 = 15x
198 = 15x-6x
198 = 9x
9x = 198
x = 198/9
x = 22
His tank can hold up to 22 gallons.
The correct answer is: = 5
Explanation:
1/8 the sum of 23 and 17 can mathematically be written as follows:
As the sum of 23 and 17 is written as (23+17), and then multiply it with (1/8).
Now evaluate:
= 5
Hence the correct answer is 5
(2,7), every input has to have one output
<u>Given:</u>
A square pyramid with a base edge length of 8 m and a slant height of 12 m.
<u>To find:</u>
The height of the pyramid.
<u>Solution:</u>
A right-angled triangle can be formed with the slant height, the height, and half the length of the base edge.
The slant height of the pyramid is 12 m long and is the hypotenuse of the right-angled triangle.
Assume the height of the pyramid is x and half the length of the base edge is m.
According to the Pythagorean theorem, the square of the hypotenuse will be equal to the sum of the squares of the other two sides.
The hypotenuse measures 12 m while the other two sides measure 4 m and x m each.
m.
The height of the square-based pyramid is 11.313 m.
16.45 is actually less than 16.454.
16.454 is 0.004 larger than 16.45.
It's hard to exact quantify it, but if a number has the same digits, but one has an extra decimal point to the right, it is (barely) larger.