Answer:
5/7
Step-by-step explanation:
A common factor of 8 can be canceled from numerator and denominator.
40/56 = (5·8)/(7·8) = (5/7)·(8/8) = (5/7)·1 = 5/7
_____
Since you know your multiplication tables, you know that 40 and 56 are both multiples of 8.
__
If you don't know your multiplication tables, you can find the greatest common divisor (GCD) of the two numbers and divide each by that. The GCD can be found using Euclid's algorithm. For that, you divide the larger by the smaller and use the remainder as the new smaller number. The original smaller number is now the larger number. For these numbers, that looks like ...
56 ÷ 40 = 1 r 16
40 ÷ 16 = 2 r 8
16 ÷ 8 = 2 r 0 . . . . . the zero remainder signals that the divisor (8) is the GCD
Now, your fraction is ...
(40/8) / (56/8) = 5/7
Answer:
Step-by-step explanation:
Two lines are perpendicular if the first line has a slope of 
and the second line has a slope of 
.
With this information, we first need to figure out what the slope of the line is that we're given, and then we can determine what the slope of the line we're trying to find is:
We now know that 
for the first line, which means that the slope of the second line is 
. With this, we have the following equation for our new line:
where 
is the Y-intercept that we now need to determine with the coordinates given in the problem statement, 
:
Finally, we can create our line:
Answer:
yes, the given relation is a function.
Step-by-step explanation:
The given relation is
{(–3, –2), (–1, 0), (1, 0), (5, –2)}
A relation is called function if each element of the domain is paired with exactly one element of the range.
It means for each value of x there exist a unique value of y.
In the given relation for each value of x there exist a unique value of y.
Therefore the required solution is yes and this relation is a function.
<h2>
The circumference of small size, medium size and large size of pizzas are 25.12 inches, 31.4 inches and 37.68 inches.</h2>
Step-by-step explanation:
Given,
The diameter of small pizza = 8 inches,
The diameter of medium pizza = 10 inches and
The diameter of large pizza (d) = 11 inches
To find, the circumference of each size of pizza = ?
We know that,
The circumference of the circle = 
∴ The circumference of small size of pizza = 3.14 × 8 = 25.12 inches
The circumference of medium size of pizza = 3.14 × 10 = 31.4 inches
Also,
The circumference of large size of pizza = 3.14 × 12 = 37.68 inches
Thus, the circumference of small size, medium size and large size of pizzas are 25.12 inches, 31.4 inches and 37.68 inches.
You can also refer:
https://brainly.ph/question/1009095
2/3 + 3/4 = 8/12 + 9/12 = 17/12 = 1 5/12
1 + 5/12 = 12/12 + 5/12 = 17/12 = 1 5/12
2/3 + 3/4 = 1 + 5/12
