Answer:cost of each pound of apple= $3
And cost of each pound of orange =$2
Step-by-step explanation:
Step 1
Let cost of apples = x
And cost of Oranges =y
Let 6 pounds of apples and 3 pounds of oranges cost 24 dollars be represented as
6 x + 3y= 24----- equation 1
Also, Let 5 pounds of apples and 4 pounds of oranges cost 23 dollars be represented as
5x+ 4y= 23----- equation 2
Step 2
6 x + 3y= 24----- equation 1
5x+ 4y= 23----- equation 2
Using substitution method to solve the equation
6 x + 3y= 24
24-6x=3y
y= 24-6x/3 = 8-2x
Y= 8-2x
Substituting the value of y= 8-2x into equation 2
5x+ 4( 8-2x)= 23
5x+ 32 -8x= 23
32-23= 8x-5x
9=3x
x=9/3
x=3
Putting the value of x= 3 in equation 1 and solving to find y
6 x + 3y= 24
6(3) +3y= 24
18+3y=24
3y= 24-18
3y=6
y=6/3= 2
Therefore the cost of each pound of apple= $3
And cost of each pound of orange =$2
Answer:
<u>14 students</u> at Hamilton Middle School have red hair.
Step-by-step explanation:
Given:
2%, percent of the students at Hamilton Middle School have red hair.
There are 700 students at Hamilton Middle School.
Now, to find the number of students at Hamilton Middle School having red hair.
Total number of students = 700.
Percent of the students at Hamilton Middle School have red hair = 2%.
Now, to get the number of students at Hamilton Middle School having red hair:
Therefore, 14 students at Hamilton Middle School have red hair.
15 because 14.57 the .57 is above 50 therefore you go up!
X^4 + 2x^2 - 24
= (x^2 + 6)(x^2 - 4)
= (x^2 + 6)(x - 2)(x + 2)
x^4 - 9x^2 + 18
= (x^2 - 6)(x^2 - 3)
Answer:
The answer to your question is: y = -2x + 10
Step-by-step explanation:
Data
Point = (1, 8)
Line y = x/2 + 3
perpendicular
slope = 1/2 but the lines are perpendicular, then slope = -2
Equation
( y - y1) = m ( x - x1)
(y - 8) = -2(x - 1)
y - 8 = -2 x + 2
y = -2x + 2 + 8
y = -2x + 10
