Answer:
The answer is x=16 so whatever the equations should look like it should be this:
Step-by-step explanation: 5(x-12)=20 5x-60=20 add 60 to 20 and get 5x=80 x=16
answer
240 standard versions
set up equations
s = number of standard versions
h = number of high quality versions
the total size of all standard versions would be 2.3s since each standard version is 2.3 MB
the total size of all high quality versions would be 4.4h since each standard version is 4.4 MB
add them together to get the total size (2664 MB) of all versions
2664 = 2.3s + 4.4h
since the high quality version was downloaded twice as often as the standard, we can say that
h = 2s
substitute h into equation and solve
2664 = 2.3s + 4.4h
h = 2s
2664 = 2.3s + 4.4(2s)
2664 = 2.3s + 8.8s
2664 = 11.1s
s = 2664/11.1
s = 240
You are lazy... do it on your own.
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
