Answer:
29%.
Step-by-step explanation:
We have been given that Boyd grew 140 pounds of tomatoes and 60 pounds of raspberries. This year, the production, by weight, of tomatoes declined by 20 percent, and the production, be weight, of raspberries declined by 50 percent.
First of all, we will find the weight of tomatoes and raspberries using the given information.
Since the production, by weight, of tomatoes declined by 20 percent, so this year production of tomatoes is 80% of 140 pounds.

Since the production, be weight, of raspberries declined by 50 percent, so this year production of raspberries is 50% of 30 pounds.

Total production this year:
pounds.
Now, we will percent decrease formula.






Therefore, the total yield, by weight, of Boyd's garden declined by 29%.
Answer:
2,602,255
Step-by-step explanation:
Answer:
x = -5
Step-by-step explanation:
Since these two triangles are similar, the ratio between the corresponding lengths of each triangle will be the same.
This means the ratio between one side of each triangle (e.g. AD and DC) will be the same as the ratio between a different side of each triangle (e.g. BE and BC).
So, to create an equation for the sides which contain the unknown 'x', we must first find the ratio between the two sides by using a different set of sides.
On the right side we are given 9 for AD, and 18 for DC.
9/18 = 0.5
This means that the extra length of the larger triangle from the smaller one (AD) is half the length of the smaller triangle (DC). We can use this to make an equation for x:
If AD/DC = 0.5, then BE/EC will also = 0.5
BE = x+23
EC = x+41
Therefore:

Now we can solve by multiplying both sides by x+41 to eliminate the fraction:

Now we multiply out the brackets and move the terms to different sides:



And if we substitute the -5 into the equations:
-5+23 = 18
-5 + 41 = 36
We will see that -5 does indeed give us the same ratio between the lengths:
18/36 = 0.5
Hope this helped!
Answer: 70.00$
Step-by-step explanation:
The question states that it takes 20 gallons of gas to get there, and the cost of three gallons of gasoline is $10.50.
so
20/3 * 10.50=70$
Answer:

Step-by-step explanation:
Let:


This is an exact differential equation because:


With this in mind let's define f(x,y) such that:

and

So, the solution will be given by f(x,y)=C1, C1=arbitrary constant
Now, integrate
with respect to x in order to find f(x,y)

where g(y) is an arbitrary function of y
Let's differentiate f(x,y) with respect to y in order to find g(y):

Now, let's replace the previous result into
:

Solving for 

Integrating both sides with respect to y:

Replacing this result into f(x,y)

Finally the solution is f(x,y)=C1 :
