The equations and the number of hotdogs and sodas sold are: x+ y = 126 and 2.25x + 1.50y = 225.75 ; 49 hot dogs and 77 sodas.
Two equations can be derived from this question:
2.25x + 1.50y = 225.75 equation 1
x + y = 126 equation 2
Where:
x = number of hotdogs sold
y = number of soda sold
In order to determine the value of y, multiply equation 2 by 2.25
2.25x + 2.25y = 283.50 equation 3
Subtract equation 1 from 3
57.75 = 0.75y
y = 77
Substitute for y in equation 2
x + 77 = 126
x = 49
To learn more about simultaneous equations, please check: brainly.com/question/23589883
The volume of a pyramid with known base area and height is 1/3 of the volume of a box with those same dimensions. So

The formula is
I=prt
I interest earned 14.65
P initial deposit ?
R interest rate 0.025
T time 2 years
Plug in the formula
14.65=p×0.025×2
Solve for p
14.65=0.05p
Divide both sides by 0.05
P=14.65/0.05
P=293....answer
Hope it helps!
Answer:
y is 1/4 when x is -1 if I did interpret your equation right. Please see that I did.
I believe the equation to be
. If you meant
, please let me know.
Thanks kindly.
Step-by-step explanation:
If (-1,y) lies on the graph of
, then by substitution we have:
.
We just need to simplify to determine y:
Multiply the 2 and -1:

Use reciprocal rule for exponents to get rid of the negative:

just means
:

.
Divide 45 by 150 then multiply by 100:
45 / 150 = 0.3
0.3 x 100 = 30%
The answer is 30%