Step-by-step explanation:
1 dozen = 12 pears
12 pears = $36
1 pear = 36/12 = $3
Total Cost of Pears = No. of pears x price of 1 pear
= (5x12) x 3
= 60 x 3
= $180
Sale of Pears = Price per pear x (Total Pears bought - Rotten Pears)
= $4.50 x (5x12-7)
= $4.50 x 53
= $238.50
Profit/Loss = Sale of Pears - Total Cost of Pears
= $238.50 - $180
= $58.50
Ariana made a profit of $58.50.
Answer:
x = 3.25
y =4.75
Step-by-step explanation:
In order to Solve the following system of equations below algebraically using substitution method we say that;
let;
8x - 4y = 7
..................... equation 1
x + y = 8.......................... equation 2
from equation2
x + y = 8.......................... equation 2
x = 8 - y.............................. equation 3
substitute for x in equation 1
8x - 4y = 7
..................... equation 1
8(8-y) - 4y = 7
64-8y-4y=7
64-12y=7
collect the like terms
64-7 = 12y
57= 12y
divide both sides by the coefficient of y which is 12
57/12 = 12y/12
4.75 = y
y =4.75
put y = 4.75 in equation 3
x = 8 - y.............................. equation 3
x = 8 -4.75
x = 3.25
to check if your answer is correct, put the value of x and y in either equation 1 or 2
from equation 2
x + y = 8.......................... equation 2
3.25 + 4.75 =8
8=8.................... proved
Answer:
2x10^3
Step-by-step explanation:
Factor the numerator and denominator and cancel the common factors.
Answer:
sqrt(10) *x
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
x^2 + (3x)^2 = hypotenuse ^2
x^2 + 9x^2 = hypotenuse ^2
10x^2 = hypotenuse ^2
Take the square root of each side
sqrt( 10x^2) = sqrt(hypotenuse ^2)
sqrt(10) * x = hypotenuse
