An equation for the number of trinkets in the warehouse after x days:
8,000 + 3,000x = 50,000
How many days will it take to fill the warehouse?
8,000 + 3,000x = 50,000
3,000x = 42,000
x = 14
<span>Total mass contains 320g copper. How many parts of 16g copper are there of the total mass of 320g copper? 320/16 = 20. There are 20 portions of 16g copper.
(320/16) * 3 = 60g
There are 60g of zinc in the compound.</span>
Answer:
The triangle's corresponding angles are congruent and their corresponding sides are proportional therefore, the triangles are similar
Step-by-step explanation:
we know that
If two figures are similar, then their corresponding angles are congruent and their corresponding sides are proportional. The ratio of its corresponding sides is called the scale factor
An dilatation is a transformation that does not modify the internal angles of the figure or the proportion of its measurements.
In this problem ΔABC and ΔA′B′C′ are similar
therefore
The triangle's corresponding angles are congruent and their corresponding sides are proportional therefore, the triangles are similar
Answer:
slope of the line is -0.5
y-intercept is 13
Explanation:
The general formula of the linear equation is:
y = mx + c
where m is the slope and c is the y-intercept
1- getting the slope:
We are given the two points:
(6,10) representing (x1 , y1)
(12,7) representing (x2 , y2)
The slope of the line will be calculated as follows:
m = (y2-y1) / (x2-x1) = (7-10) / (12-6) = -3/6 = -0.5
The equation of the line now becomes:
y = -0.5x + c
2- getting the value of the y-intercept:
To get the value of the y-intercept (c), we will use any of the given points, substitute in the equation of the line and solve for c. I will use the point (6,10) as follows:
y = -0.5x + c
10 = -0.5(6) + c
10 = -3 + c
c = 13
Based on the above, the equation of the line would be:
y = -0.5x + 13
Hope this helps :)
