Answer:
The value of x is 6
Step-by-step explanation:
The perimeter of an equilateral triangle is P = 3 × S, where S is the length of each side
∵ The perimeter of an equilateral triangle is 63 inches
∴ P = 63 inches
→ By using the rule of the perimeter above
∵ P = 3 × S
→ Equate the right sides of P
∴ 3 × S = 63
→ Divide both sides by 3
∴ S = 21 inches
∴ The length of each side is 21 inches
∵ The length of each side is (4x - 3)
→ Equate (4x - 3) by the length of each side
∴ 4x - 3 = 21
→ Add 3 to both sides
∵ 4x - 3 + 3 = 21 + 3
∴ 4x = 24
→ Divide both sides by 4 to find x
∴ x = 6
∴ The value of x is 6
Answer:
C
Step-by-step explanation:
14 : 16
7 : 8
boys : girls
Answer:
x=42
Step-by-step explanation:
<em><u>Answer:</u></em>
<h2>
5.1 X 10^-7</h2>
<u><em>Reason:</em></u>
It is to the -7 because you would have to move the decimal left (-) 7 times to get the original 0.00000051.
Hope this helps! ;)
Answer:
y=mx+c
We have to find the value of m and c.
Let's substitute the value of x and y from the table.
When x=1, y=15,
15= m(1)+c
m +c= 15 ------(1)
Now substitute another set of x and y values.
When x=2, y=24,
24= m(2)+c
2m +c= 24
c= 24 -2m ------(2)
Let me rewrite the two equations so that it is clearer for you to see.
m + c= 15 -----(1)
c = 24 -2m -----(2)
subst. (2) into (1):
m+ 24-2m= 15
-m= 15-24 (bring constants to 1 side, m terms to the other)
-m= -9 (simplify)
m= 9 ( divide by -1 throughout)
subst. m=9 into (2):
c= 24 -2(9)
c= 24-18
c= 6
Thus, the equation is y=9x+6.
When the cat is 3 years old, x=3.
When x=3,
y= 9(3)+6
y= 33.
Hence, the cat is 33 years old in human years.