Answer:
The usual size of the container is 15 ounces.
Step-by-step explanation:
Consider the provided information.
A protein mix claims to contain a bonus of 20% more mix than the usual size container.
Let the usual size of the container was x ounces.
They increase 20% of usual size and the bonus size is 18 ounces.
Therefore, the new size should be:
(∴20%==0.20)
Hence, the usual size of the container is 15 ounces.
Answer:
Number of ducks = 37
Number of pigs = 18
Step-by-step explanation:
Let,
x be the number of ducks
y be the number of pigs
According to given statement;
x+y=55 Eqn 1
2x+4y=146 Eqn 2 (As ducks will have 2 legs and pigs will have 4)
Multiplying Eqn 1 by 2
2(x+y=55)
2x+2y=110 Eqn 3
Subtracting Eqn 3 from Eqn 2
(2x+4y)-(2x+2y)=146-110
2x+4y-2x-2y=36
2y=36
Dividing both sides by 2
Putting y=18 in Eqn 1
x+18=55
x = 55-18
x = 37
Hence,
Number of ducks = 37
Number of pigs = 18
Answer:
(-6,-4)
Step-by-step explanation:
The first endpoint of the line is (-6,8), we can call
x_1 = -6
and
y_1 = 8
Let the last endpoint have coordinates (x_2,y_2)
Also, the midpoint formula is:
(x_1+x_2)/2 , (y_1+y_2)/2
Now, plugging these values is the formula, we get:
(-6+x_2)/2 = -6
-6+x_2=-12
x_2=-12+6 = -6
x_2 = -6
Also
(8+y_2)/2=2
8+y_2=4
y_2=4-8=-4
y_2 = -4
The coordinates of the other endpoint is (-6,-4)
Answer:
To find the sum of an infinite geometric series having ratios with an absolute value less than one, use the formula, S=a11−r , where a1 is the first term and r is the common ratio.