R = red beads
G = green beads
B = blue beads
Given:
R/2 = G/3 = B/7
B = R + 150
How many reds?
R/2 = (R+150)/7
7*R/2 = R + 150
7*R = 2*R + 300
5*R = 300
R = 60
How many blue?
B = R + 150
B = 210
How many green?
G/3 = R/2
G/3 = 60/2
G/3 = 30
G = 90
How many total?
Total = R+G+B
Total = 60+90+210
Total = 360
<h3>
Answer: 10.1 cm approximately</h3>
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Explanation:
The double tickmarks show that segments DE and EB are the same length.
The diagram shows that DB = 16 cm long
We'll use these facts to find DE
DE+EB = DB
DE+DE = DB
2*DE = DB
DE = DB/2
DE = 16/2
DE = 8
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Now let's focus on triangle DEC. We just found the horizontal leg is 8 units long. The vertical leg is EC which is unknown for now. We'll call it x. The hypotenuse is CD = 9
Use the pythagorean theorem to find x
a^2+b^2 = c^2
8^2+x^2 = 9^2
64+x^2 = 81
x^2 = 81 - 64
x^2 = 17
x = sqrt(17)
That makes EC to be exactly sqrt(17) units long.
If you follow those same steps for triangle ADE, then you'll find the missing length is AE = 6
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So,
AC = AE+EC
AC = 6 + sqrt(17)
AC = 10.1231056256177
AC = 10.1 cm approximately
John blinks every 6 seconds, Jeremy every 4 seconds, so they both will blink next on a common factor of 6 and 4, or an LCD, that'd be 12 seconds later, so at 00:00:12.
Answer:
y + b > 15
Step-by-step explanation:
given data
positive integers = x, y, a, b
x divided by y then remainder = 6
a divided by b then remainder = 9
to find out
possible value for y + b
solution
we know that here when x divided by y then remainder is 6
its mean y is greater than 6 and when a divided by b then remainder is 9
so its mean b is greater than 9
and we know remainder is less than divisor
so here y + b must be greater than = 6 + 9
y + b > 15
Step-by-step explanation:
Regression Equation has the firm of,
Y = aX + b
please refer to my attachment for a and b.
So prepare table with columns of Y, X sq(x),......
then work out a and b according.
Finally sub a and b into the equation Y = aX + b
