Answer:
The number of adults, a, is 300, and the number of kids, k, is 200
k + a = 500 (1)
3k + 10a = 3,600 (2)
Then Multiply both sides of equation (1) by -3
(k + a) • -3 = 500 • -3
-3k − 3a = -1,500
Now, add this equation to equation (2)!
3k + 10a = 3,600
+ -3k − 3a = -1,500
7a = 2,100
a = 300
And last Substitute the value of a into equation (1).
k + a = 500
k + 300 = 500
k = 500 – 300
k = 200
B is the correct answer. Ratios can be expressed as fractions, in word form, or with colons. The ratio of yellow roses to red is 47 to 96, which is the same as 47:96 or 47/96.
Answer:
y = 4 - 2x
Step-by-step explanation:
That is the formula, in y = a + mx but it you want it in y = mx+c, it is y = -2x + 4
Answer:
A. 6.0
Step-by-step explanation:
We have been given that the the inside diameter of the part on the paper is 1.50 inches.
We have been given that scale is 4:1 for actual size to drawing side.
Upon substituting 1.50 in our given proportion, we will get:
Therefore, the actual size is 6.0 inches and option A is the correct choice.
"One rotation" would be the circumference of the wheel, which is
C = 2*pi*r, or (here) C = 2*pi*(8 inches) = 16*pi inches.
1 ft
Convert this to feet: 16*pi inches times ---------------
12 inches
Here "inches" cancels out and you are left with (4/3)pi ft.
So, one rotation of the wheel moves you and your bike forward (4/3)pi ft.
Divide this into 700 feet:
700 ft 2100
------------- = --------- rotations = 525 rotations (answer)
(4/3) pi ft 4