Answer:
121..??
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
a.
The first figure has 1 square. The second figure has a column of 2 squares added to the left. The third figure has a column of 3 squares added to the left. Each new figure has a column of squares added to the left containing the same number of squares as the number of the figure.
b.
Figure 10 has 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55 squares.
c.
The formula for adding n positive integers starting at 1 is:
1 + 2 + 3 + ... + n = n(n + 1)/2
For figure 55, n = 55.
n(n + 1)/2 = 55(56)/2 = 1540
d.
Let's use the formula set equal to 190 and solve for n. If n is an integer, then we can.
n(n + 1)/2 = 190
n(n + 1) = 380
We know that 380 = 19 * 20, so n = 19.
Answer: yes
e.
Use the formula above,
S = n(n + 1)/2, where S is the sum.
f.
n(n + 1) = 1478
38 * 39 = 1482
37 * 38 = 1406
Answer:
a). The equation; 7.25 h-36.25=0
b). total number of hours Steven work=5 hours
Step-by-step explanation:
Part A
The expression for the total money earned is as follows;
T=E×h
where;
T=total earnings
E=earnings per hour
h=number of hours worked
In our case;
T=$36.25
E=$7.25
h=h
replacing;
36.25=(7.25×h)
36.25=7.25 h
The equation would be; 7.25 h=36.25, or 7.25 h-36.25=0
Part B
7.25 h=36.25
h=36.25/7.25
h=5
total number of hours Steven work=5 hours
Answer:
3.33333333333+1/3=3.6666666666666666
