Answer:
- Walnuts cost $1.75, chocolate chips cost $2.75
Step-by-step explanation:
<h3>Let the costs be:</h3>
- Walnuts - x
- Chocolate chips - y
<h3>Set equations as per question</h3>
For 7 pounds of walnuts and 9 pounds of chocolate chips, the total cost is $37:
For 5 pounds of walnuts and 3 pounds of chocolate chips, the total cost is $17:
<h3>Solve the system by elimination</h3>
Multiply the second equation by 3 and subtract the first equation, solve for x:
- 3(5x + 3y) - (7x + 9y) = 3(17) - 37
- 15x + 9y - 7x - 9y = 51 - 37
- 8x = 14
- x = 14/8
- x = 1.75
Find the value of y:
- 7*1.75 + 9y = 37
- 12.25 + 9y = 37
- 9y = 37 - 12.25
- 9y = 24.75
- y = 24.75/9
- y = 2.75
12.1 because 9 is greater than 5.
The answer is B., valid because people were chosen randomly
This would make it a valid survey
Hope this helps!
;3
Answer:
B. 30
Step-by-step explanation:
Given.:
m<4 = 2x°
m<5 = 4x°
Required:
Value of x
Solution:
<4 and <5 are angles in a straight line, therefore:
m<4 + m<5 = 180°
Substitute
2x + 4x = 180°
6x = 180°
x = 180/60
x = 30
The x intercept is (8.75, 0) and y - intercept is (0, -7)
<em><u>Solution:</u></em>
Given that we have to find the x and y intercepts
Given equation is:
The x intercept is the point where the line crosses the x axis
The y intercept is the point where the line crosses the y axis
<em><u>Finding x - intercept:</u></em>
To find the x-intercept of a given equation, plug in 0 for 'y' and solve for 'x'
Substitute y = 0 in given equation
Thus x intercept is (8.75, 0)
<em><u>Finding y - intercept:</u></em>
To find the y-intercept, plug 0 in for 'x' and solve for 'y'
Substitute x = 0 in given equation
Thus y - intercept is (0, -7)