Yes it is. When you simplify the girls ratio( 12:30 by 6)you'll get 2:5. When you simplify the boys ratio( 16:40 by 8)you'll get 2:5. So it is the same ratio.
<span>The difference between two integers is at most 16
x1 - big integer
x2- small integer
</span><span>the smaller integer is 12
so
x2 = 12
substitution
</span>
<span>
solve for x1
however, note the fact larger
thus meaning
x1 > x2 applies to this problem
</span>
Answer:
25
Step-by-step explanation:
We can use the Pythagorean theorem to determine the length of the hypotenuse
a^2 + b^2 = c^2
15^2 + 20 ^2 = c^2
225 + 400 = c^2
625 = c^2
Take the square root of each side
sqrt(625) = sqrt(c^2)
25 = c
<h3>
Answers:</h3>
Variation Constant: k = 7/6
y = 245/6 when x = 7 and z = 5
====================================
Explanation:
"y varies jointly as x and z" means that y = kxz
We have (x,y,z) = (4,14,3) as one triple, so,
y = kxz
14 = k*4*3
14 = 12k
12k = 14
k = 14/12
k = 7/6 is the variation constant
The equation goes from y = kxz to y = (7/6)xz
----------------
Plug in x = 7 and z = 5 to find y
y = (7/6)xz
y = (7/6)*7*5
y = (7/6)*(7/1)*(5/1)
y = (7*7*5)/(6*1*1)
y = 245/6
In this case, the best method starts with finding one percent of the selling price. To do this, divide the commission ($11825) by 5.5. This gets you 1%, which is $2150. Next, multiply this number by 100, turning 1% into 100%. Your final answer is $215,000.
