Answer:
Step-by-step explanation:
Let M = total amount of money earned
M = 12x+8y
To make more than $190, the equation is:
190<12x+8y
Since Trevor is going to scoop ice cream for 20 hours, the equation is:
190<12x+8(20), which simplifies to 190<12x+160.
Isolate x to find the amount of hours that Trevor needs to tutor.
190-160<12x
30<12x
30/12<x
2.5<x
Trevor must tutor for more than 2.5 hours to make more than $190.
The solution of the system of equations is (-3 , -2)
Step-by-step explanation:
Steps for Using Linear Combinations Method)
- Arrange the equations with like terms in columns
- Analyze the coefficients of x or y
- Add the equations and solve for the remaining variable
- Substitute the value into either equation and solve
∵ 3 x - 8 y = 7 ⇒ (1)
∵ x + 2 y = -7 ⇒ (2)
- Multiply equation (2) by 4 to make the coefficients of y are equal in
magnitude and different in sign
∴ 4 x + 8 y = -28 ⇒ (3)
Add equations (1) and (3)
∵ 3 x - 8 y = 7 ⇒ (1)
∵ 4 x + 8 y = -28 ⇒ (3)
∴ 7 x = -21
- Divide both sides by 7
∴ x = -3
Substitute the value of x in equation (2) to find y
∵ x + 2 y = -7 ⇒ (2)
∵ x = -3
∴ -3 + 2 y = -7
- Add 3 to both sides
∴ 2 y = -4
- Divide both sides by 2
∴ y = -2
The solution of the system of equations is (-3 , -2)
Learn more:
You can learn more about the system of the linear equations in brainly.com/question/13168205
#LearnwithBrainly
I THINK on b its that the percentages represent........................................................................................................................................READY.............UMMMMM............HOW MANY POEPLE GET A JOB ON HONEROLL OR TRY TO GET A JOB WHEN ITS HONNER ROLL OR NOTTTTTTTTTTTTTTTT.............................there u go........................byeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
The volume of the composite figure is the third option 385.17 cubic centimeters.
Step-by-step explanation:
Step 1:
The composite figure consists of a cone and a half-sphere on top.
We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.
Step 2:
The volume of a cone is determined by multiplying 
with π, the square of the radius (r²) and height (h). Here we substitute π as 3.1415.
The radius is 4 cm and the height is 15 cm.
The volume of the cone :
cubic cm.
Step 3:
The area of a half-sphere is half of a full sphere.
The volume of a sphere is given by multiplying 
with π and the cube of the radius (r³).
Here the radius is 4 cm. We take π as 3.1415.
The volume of a full sphere 
cubic cm.
The volume of the half-sphere 
cubic cm.
Step 4:
The total volume = The volume of the cone + The volume of the half sphere,
The total volume 
cub cm. This is closest to the third option 385.17 cubic centimeters.
Answer:
wow thats alot of "stuff"
Step-by-step explanation:
