Answer:
x = 18 or x = -12.
Step-by-step explanation:
||x-3|-5| = 10 only if |x-3|-5 = 10 or |x-3|-5 = -10, i.e., if |x-3|=15 or |x-3|=-5; but |x-3| cannot be equal to -5, because |x-3| should be a non-negative value. Therefore, the first equation is true only if |x-3|=15. |x-3| = 15 only if x-3 = 15 or x-3 = -15, i.e., x = 18 or x = -12. We can verify this in the following way: ||18-3|-5|=||15|-5|=|10|=10 and ||-12-3|-5|=||-15|-5|=|15-5|=|10|=10. This verify that our solution is correct.
The total weight of candies is unknown. Let x = the total weight of candies.
"One student ate 3/20 of all candies and another 1.2 lb":
The first student ate (3/20)x plus 1.2 lb which is 0.15x + 1.2.
"The second student ate 3/5 of the candies and the remaining 0.3 lb."
The second student ate (3/5)x and 0.3 lb which is 0.6x + 0.3.
Altogether the 2 students ate 0.15x + 1.2 + 0.6x + 0.3.
That was all the amount of candies, so that sum equals x.
0.15x + 1.2 + 0.6x + 0.3 = x
Now we solve the equation for x to find what the total amount of candies was.
0.75x + 1.5 = x
-0.25x = -1.5
x = 6
The total amount of candies was 6 lb.
The first student ate 0.15x + 1.2 = 0.15(6) + 1.2 = 0.9 + 1.2 = 2.1, or 2.1 lb of candies.
The second student ate 0.6x + 0.3 = 0.6(6) + 0.3 = 3.6 + 0.3 = 3.9, or 3.9 lb of candies.
Answer: The first student ate 2.1 lb of candies, and the second student ate 3.9 lb of candies.
In this question, we would be multiplying.
In this case, you would multiply 20000 by 1.9, since 1.9 is the decimal form of 190%.
Solve:
20000 · 1.9 = 38,000
Answer:
38,000
What number you have to multiply 2 to get 5.
Or 2*x=5 solve for x
Answer:
y = x - 13
Step-by-step explanation:
Given parameters:
Slope of the line = 1
Coordinate = (18, 15)
Unknown:
Equation of the line in slope-intercept format = ?
Solution:
The equation of a line is expressed as;
y = mx + c
where y and x are the coordinates
m is the slope
c is the y-intercept
Now, sine x = 18 and y = 5, let us find c;
5 = 1(18) + c
5 = 18 + c
c = -13;
The equation of the line is;
y = 1(x) + (-13)
y = x - 13
