Answer:
(3,2)
Step-by-step explanation:
5x+2y= 19
4x - 3y = 6
I will use elimination
Multiply the first equation by 4
20x +8y = 76
Multiply the second equation by -5
-20x +15y = -30
Add them together to eliminate x
20x +8y = 76
-20x +15y = -30
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23y = 46
Divide by 23
23y/23 = 46/23
y =2
Now find x
5x+2y =19
Substitute y=2
5x+2(2) =19
5x+4 = 19
Subtract 4 from each side
5x +4-4 =19-4
5x= 15
Divide by 5
5x/5 = 15/5
x=3
The solution is
(3,2)
Answer:
(x ÷ 8) + 3/4 ≥ -1/4
Step-by-step explanation:
Let "x" be a number.
The quotient of "x" and eight means x÷8
It is increased by 3/4
(x ÷ 8) + 3/4
The expression is at least -1/4
Here "at least" represents ≥
Therefore, (x ÷ 8) + 3/4 ≥ -1/4
Thank you.
Answer:
21 students were in the class.
Step-by-step explanation:
The information in the question tells you that 4/7 of the class is girls.
That means that the remainder of the class is 1 - 4/7 = 3/7 boys
Let the total in the class = x
(3/7)x = 9 Multiply by 7
(3/7)*7*x = 9 * 7 Simplify the right and left
3x = 63 Divide by 3
3x/3 = 63/3
x = 21
There were 21 students in the class.
Answer:
C The car accelerated for 6 seconds and continued at a constant speed