Answer:
x= 7 weeks
Step-by-step explanation:
48.25+15.75w=158.50
Move constant to the right side and change its sign
15.75w=158.50-45.25
Subtract the numbers
15.75w= 110.25
Divide both sides of the equation by 15.75
w=7
Answer:
podría ser 42 porque si alejandra y mario tienen 42+42=84
Answer:
We can make it in 36! ways.
Step-by-step explanation:
We have 36 photos and we need to arrange on a gallery wall.
So, since we need to arrange them so we will use permutation
And the number of ways arranging these 36 photos will be 36!
So, here we have n=36
Answer:
Step-by-step explanation:
The information gives the Slope and y intercept of the line for stock A. At 9am, time = 0, the stock price is $15.11, the y intercept or b. The Slope of the line is 12 cents per hour, it is a positive Slope so it will rise from left to right.
The line in Slope form is
y= 0.12x+15.11
Stock B at noon, so 3 hours later, is $15.86 and is decreasing at a rate of 11 cents per hour.
We know the Slope is -0.11 and we know a point on its line is (3,15.86). From this we can solve for the y intercept by substituting the x and y values from the coordinate into the Slope equation.
15.86 = -0.11(3) + b
15.86 = -0.33 + b
Add 0.33 to both sides
16.19 = b so the equation of the line of stock B is y= - 0.11x + 16.19
Since we have two equations solved for y, we can set them equal to each other and solve for x
0.12x + 15.11 = - 0.11x + 16.19 add 0.11x - 15.11 to both sides
0.23x = 1.08 divide both sides by 0.23 to solve
x = 4.69565 to the nearest tenth 4.7 hours after 9am the two stocks will be the same price.
Answer:
22 2/9
Step-by-step explanation:
When z "varies jointly" with x and y, it can be described by the formula
z = kxy
Here, we have bags of mulch (n) varying jointly with area (a) and depth (d), both in feet. The given information can let us find the value of k.
n = kad
10 = k·(120)(1/4)
10/30 = k = 1/3 . . . . . divide by the coefficient of k
Now, we can fill in the other values of interest.
n = (1/3)·(200)·(1/3) = 200/9
n = 22 2/9
You need 22 2/9 bags of mulch to cover 200 ft² to a depth of 4 inches.
_____
<em>Comment on the problem</em>
This problem requires the formula be written with both area and depth expressed in feet, yet it gives depth in inches. The formula can also be written using depth in inches. In that case, k = 1/36.