18 / x = 20 / 100
20x = 1800
x = 90
The museum had 90 paintings in April.
Hope this helps!! :)
Answer:
290
Step-by-step explanation:
If the first term is 2 and the common difference is 32, then the formula for a(n) is:
a(n) = 2 + 32(n-1).
Thus, the 10th term is a(10) = 2 + 32(10-1) = 2 + 32(9) = 290
Answer:
<u>0.081</u>
Step-by-step explanation:
7.29 divided by 90 = <u>0.081</u>
Answer:
2t - 5 = -10
Step-by-step explanation:
add 5 to each side which leaves you with
2t=-5
then mulitply 5 and two and get t=10
We have two unknowns: x and y. Now, we have to formulate 2 equations. The first would come from the use of the given ratio:
We use the distance formula to find the distance between coordinates:
3/4 = √[(x-4)²+(y-1)²] / √[(4-12)²+(1-5)²]
√[(x-4)²+(y-1)²] = 3√5
(x-4)²+(y-1)² = 45
x² - 8x + 16 + y² - 2y + 1 = 45
x² - 8x + y² - 2y = 28 --> eqn 1
The second equation must come from the equation of a line:
y = mx +b
m = (5-1)/(12-4) = 1/2
Substitute y=5 and x=12 for point (12,5)
5 = (1/2)(12) + b
b = -1
So, the second equation is
y = 1/2x -1 or x = 2 + 2y --> eqn 2
Solving the equations simultaneously:
(2 + 2y)² - 8(2 + 2y) + y² - 2y = 28
Solving for y,
y = -2
x = 2+2(-2) = -2
Therefore, the coordinates of point A is (-2,-2).
