Answer:
7 bags
Step-by-step explanation:
We solve using Greatest Common Factor Method
We have:
14 raspberry scones and 21 strawberry scones
We find the factors of 14 and 21
The factors of 14 are: 1, 2, 7, 14
The factors of 21 are: 1, 3, 7, 21
Then the greatest common factor is 7.
Therefore, the greatest number of bags Bryson can fill is 7 bags
Answer:
$200
Step-by-step explanation:
To find the retail price, multiply the wholesale cost by 1.6
125(1.6)
= 200
So, the retail price will be $200
Answer:
Domain: All real numbers
Range: y≤3
Step-by-step explanation:
The given function is

This is a polynomial function.
The domain is set of all values of x, that makes this function defined.
Since polynomial functions are defined everywhere, the domain is all real numbers.
To find the range we put the function in vertex form:




The maximum value is 3
The function turns downward, hence the range is:

Look at the first line: y = (3/5)x - 3. What happens if you multiply each term by 5, to eliminate the fraction?
5y = 3x - 3
Compare this to the second equation,
5y - 3x = -10, or 5y = 3x - 10.
The coefficients of x and y (as 3 and 5 here) determine the slope of a straight line. Since 5y = 3x is present in both equations, the two lines MUST be parallel.
y = 4
4y = 6 => y = 6/4
y+4 and y =3/2 are both horizontal lines. Since they are horiz., they are parallel.
I started by labeling the right angle (Angle C) 90º. Next, I wrote down everything in one equation.
2x + 90 + 3x - 20 = 180º (180 degrees in a triangle)
Next, I add 20 on both sides.
2x + 90 + 3x = 200º
I combine like terms (2x and 3x)
5x + 90 = 200º
I subtract 90 from both sides.
5x = 110º
Divide 110 by 5 to get x.
x = 22
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For problem two, I label all the angles I know.
49º + 80º + r = 180º
I add 80 and 49.
129º + r = 180º
I subtract 180 and 129 and get 51º, which is your angle for R.
For angle X, you know that angle R plus angle X equals half of a circle, which is 180º
We know from before that 129º is 180º without R, so X is 129º
I hope this helps! Let me know if I'm wrong!