Answer:
-5m-8n
This is the simplest form
Time taken by Ria to paint a room = 4 hours
Time taken by Destiny to paint a room = 6 hours
If they work together, they complete 1 job. So,
The LCD of 4 and 6 is 12
Hence, both of them can paint the room in 
hours or 2.4 hours.
Answer:
C; Circle
Step-by-step explanation:
In this question, we are interested in giving a term to the locus of points which are at a certain distance from a fixed point.
The correct answer to this is a circle.
From the question, we can picture a situation which we have the point (1,2) as the center of the circle. This point serve the starting point in which all other points which are exactly 6 units away are plotted.
Thus, from this center point, we can mark off several points around the center point. By tracing the marked points from these center, we can obtain a circular path which when traced completely will give us the identity of a circle, where these points represent the line bounding the circle which is referred to the circumference of the particular circle in question.
Further more, from the definition of the radius of a circle, it is the distance from the center of a circle to the circumference. While the point (1,2) represents the center of the circle in question, the distance 6 units stand for the radius of the circle.
ANSWER:
x = 10 / 3
y = 0
STEP-BY-STEP EXPLANATION:
We will be using simultaneous equations to solve this problem. Let's first establish the two equations which we will be using.
Equation No. 1 -
- 6x - 14y = - 20
Equation No. 2 -
- 3x - 7y = - 10
First, we will make ( x ) the subject in the first equation and simplify accordingly.
Equation No. 1 -
- 6x - 14y = - 20
- 6x = - 20 + 14y
x = ( - 20 + 14y ) / - 6
x = ( - 10 + 7y ) / - 3
From this, we will make ( y ) the subject in the second equation and substitute the value of ( x ) from the first equation into the second equation to solve for ( y ) accordingly.
Equation No. 2 -
- 3x - 7y = - 10
- 7y = - 10 + 3x
- 7y = - 10 + 3 [ ( - 10 + 7y ) / - 3 ]
- 7y = - 10 + [ ( - 30 + 21y ) / - 3 ]
- 7y = - 10 + ( 10 - 7y )
- 7y = - 7y
- 7y + 7y = 0
0y = 0
y = 0
Using this, we will substitute the value of ( y ) from the second equation into the first equation to solve for ( x ) accordingly.
x = ( - 10 + 7y ) / - 3
x = [ - 10 + 7 ( 0 ) ] / - 3
x = [ - 10 + 0 ] / - 3
x = - 10 / - 3
x = 10 / 3
Answer:
99 students
Step-by-step explanation:
To get this answer, you need to add all of the numbers up because the 3rd graders and 4th graders are joining the 2nd graders. 27+43=70. 70+29=99.
