Answer:
y = 5/9x - 37/3
Step-by-step explanation:
5x - 9y = 8
-9y = -5x + 8
y = 5/9x - 8/9
- When a line is parallel, the slope remains the same.
y = 5/9x + b
-9 = 5/9(6) + b
-9 = 10/3 + b
-37/3 = b
What is the third quartile of the following data set<br><br>
24,20,35,39,28,42,25,29,44,21,37
strojnjashka [21]
First, arrange the data:
20, 21, 24, 25, 28, 29, 35, 37, 39, 42, 44
You can use the formula 3/4 multiplied by the number of data + 1 to find the position of the 3rd quartile.
so it's going to be 3/4 x (11+1) = 9th position
the number in 9th position is 39 so that's the 3rd quartile
Answer:
v = 124 cm³
Step-by-step explanation:
The figure shown is a composite figure. You can compartmentalize this figure into two separate figures to facilitate calculating the volume. I will section the figure into a cube and a rectangular prism. In a cube, the sides are congruent. So,
v = a³
v = 4³
v = 64
Now, for the rectangular prism.
v = l · w · h
v = 10 · 3 · 2
v = 60
Now, for the total collective volume, simply add up the volumes of the independent shapes.
64 + 60 = 124 cm³
Answer:
17 boys and 11 girls
Step-by-step explanation:
Create a system of equations where b is the number of boys and g is the number of girls:
b + g = 28
b = g + 6
Solve by substitution, by substituting the second equation into the first one:
b + g = 28
(g + 6) + g = 28
2g + 6 = 28
2g = 22
g = 11
So, there are 11 girls.
Since there are 6 more boys than girls, there are 17 boys.
So, there are 17 boys and 11 girls in the class.
Hi !
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<em>Which two techniques are used in constructions with paper folding?</em>
A. Drawing arcs
C. Folding the tracing paper