3m+8-x=-24
3m=-24-8+x
3m=-32+x
m=(x-32)/3
3m+8-x=-24
3m+8+24=x
x=3m+32
Step-by-step explanation:
area of a circle = 19.7cm²
πr²= 19.7cm²
22/7 r²= 19.7
r= 2.50 cm
Step-by-step explanation:
given,
total members in grp = 20
no. of boys = 7
no. of girls = 20 - 7 = 13
so,
the ratio of girls to boys is = 13:7
hope this answer helps you dear...take care and may u have a great day ahead!
Answer:
3¼
Step-by-step explanation:

We take any of the two points shown in the question. I will take (-3, 1) and (1, 14).
x¹ = -3
y¹ = 1
x² = 1
y² = 14
Now, we sub these figures into the formula.

This leaves us with 14-1/1+3, which we can make into 13/4
13/4 = 3¼
<em>Disclaimer</em><em>:</em><em> </em><em>It</em><em> </em><em>is</em><em> </em><em>not</em><em> </em><em>actually</em><em> </em><em>x</em><em> </em><em>(</em><em>or</em><em> </em><em>y</em><em>)</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>power</em><em> </em><em>of</em><em> </em><em>two</em><em>,</em><em> </em><em>but</em><em> </em><em>a</em><em> </em><em>way</em><em> </em><em>to</em><em> </em><em>distinguish</em><em> </em><em>one</em><em> </em><em>x</em><em> </em><em>(</em><em>or</em><em> </em><em>y</em><em>)</em><em> </em><em>from</em><em> </em><em>the</em><em> </em><em>other</em><em>.</em><em> </em><em>It</em><em> </em><em>is</em><em> </em><em>a</em><em> </em><em>label</em><em> </em><em>of</em><em> </em><em>sorts</em><em>.</em>
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