Answer:
A. x + y = 34; 10x + 15y = 410
Step-by-step explanation:
Jody's total hours will be the sum of the hours spent on each job:
x + y = 34 . . . . . total hours
Jody's total earnings will be the sum of the earnings from each job:
10x +15y = 410 . . . total earnings
So, the system of equations is ...
- x + y = 34
- 10x + 15y = 410
Answer:
1) x= 20
2) x= 75
Step-by-step explanation:
In the first problem, we see vertical angles. This means that both angles equal each other: 50= 2x+10
Step 1- Subtract 10 to both sides.
50= 2x+10
-10 -10
40= 2x
Step 2- Divide both sides by 2.
<u>40</u>= <u>2x</u>
2 2
x= 20
In the next problem we see a straight line and an intersecting point. Now, both of these angles sum up to 180 degrees. So the equation would be:
x-10+2x-35= 180
Step 1- Add common variables.
(x+2x)+(-10-35)= 180
3x-45= 180
Step 2- Add 45 to both sides.
3x-45= 180
+45 +45
3x= 225
Step 3- Divide both sides by 3.
<u>3x</u>= <u>225</u>
3 3
x= 75
Input the value of x into the equations.
75-10= 65
2(75)-35= 115
Hope this helps!
-1 would not be included. It is an integer not a whole number.
Answer: Yes
Step-by-step explanation: The decimal 2.15 is a terminating decimal.
This means the decimal ends.
All terminating decimals are rational.
Answer:
1331:216
Step-by-step explanation:
Given the ratio of the lengths of two similar solids as a:b
The ratio of the surface areas = 
The ratio of the volume = 
We are given that the ratio of the surface areas of two similar geometrical solids is given by 121:36
Therefore:
Since the ratio of the lengths is 11:6
The ratio of their volumes = 
=1331:216
The ratio of the volume of the two similar geometrical solids is 1331:126.
