The patterns are multiplying by three!
Answer: 8 balloons
Step-by-step explanation: 20/15=1.3 repeating, which is your unit rate. Multiply unit rate by 6 to get 8
Answer:
m = 6
n = 9/2 = 4.5
Step-by-step explanation:
we are dealing with similar triangles, and you need to find the scaling factor from small to large (or vice versa).
so, the triangle with 2 and 3 as sides turns into the larger triangle with 4+2 and m+3 as sides.
so, what is the scaling factor to go from 2 to 4+2 (=6) ? the scaling factor is 3.
so, (m + 3) = 3×3
m + 3 = 9
m = 6
and now we are further growing into the large triangle.
that means the right side goes from 6 to 6+3 = 9.
the factor to go from 6 to 9 is 9/6 = 3/2.
so, n + 6 + 3 = 3/2 × (6 + 3)
n + 9 = 3/2 × 9 = 27/2
2n + 18 = 27
2n = 9
n = 9/2
we have
using a graph tool
see the attached figure
The solution is the shaded area
<u>Statements</u>
<u>A The slope of the line is .</u>
The statement is False
Because the slope of the line is equal to
<u>B The graph of is a dashed line</u>
The statement is True
The graph of the inequality is a dashed line, because it has no equal signs in the problem
<u>C The area below the line is shaded</u>
The statement is False
Because The solution is the area above the dashed line
<u>D One solution to the inequality is </u>
The statement is True
because
For and
substitute in the inequality
--------> the inequality is satisfied
<u>E The graph intercepts the y-axis at </u>
The statement is True
see the attached figure