Answer:
The number of 43 cent stamps Esmeralda bought is <u>19</u>.
Step-by-step explanation:
Given:
Esmeralda bought 12.22 worth of 43 cent stamps and 81 cent stamps. The number of 81 cent stamps was 14 less than the number of 43 cent stamps.
Now, to solve the equation 0.43 s + 0.81 ( s − 14 ) = 12.22 for s and to find the number of 43 cent stamps.
Let the number of 43 cent stamps be 
And, the number of 81 cent stamps be 
So, to solve equation for
<em>Adding both sides by 11.34 we get:</em>
<em>Dividing both sides by 1.24 we get:</em>
<em>The number of 43 cent stamps = 19.</em>
Therefore, the number of 43 cent stamps Esmeralda bought is 19.
Answer:
x cubed minus y cubed is equal to 504
Step-by-step explanation:
First we need to know what the values of x and y are. We can do this pretty easily, by just solving both equations for x, and equating them to each other:
With the first:
x + y = 10
x = 10 - y
And with the other
x - y = 6
x = 6 + y
Now that we have two definitions of x, we can say that the expressions are equal, and solve for y:
10 - y = 6 + y
10 - 6 = y + y
4 = 2y
y = 2
And now that we know what y is, we can find x:
x = 10 - y
x = 10 - 2
x = 8
So x is equal to eight. We can check our answer by plugging x into the other equation and seeing if we get the same value for y:
x - y = 6
8 - y = 6
-y = 6 - 8
-y = -2
y = 2
So we know we solved that correctly.
Now if we cube each number, eight cubed is equal to 512, and 2 cubed is equal to 8. If we subtract the latter from the former we get 504.
so x cubed minus y cubed is equal to 504
Four points<span> in the plane </span>determine<span> two conjugate </span>parabolas<span>, each of which ... system we </span>can<span> fit a second degree polynomial to the three points P1,P3,P4. ... of the quadratic give the two orientations in which the </span>four points lie on a single<span> ... shows that </span>if<span> a </span>parabola<span> with vertical axis intersects a horizontal line at points P,Q</span>
Answer:increased percent = 66.67%
Step-by-step explanation:
The value of an autographed baseball card increased from 39$ to $65. This means that the price of the autographed baseball card increased from the original price to the new price by a certain percentage.
Let x percent = the percentage increase of the price of the autographed baseball card from the original price to the new price.
Percentage increase =
(New price of price of the autographed baseball card - the original price of the autographed baseball card) / the original price of the autographed baseball card × 100
From the information given,
New price of price of the autographed baseball card - the original price of the autographed baseball card = 65 - 39 = $26
Percentage increase = 26 / 39 × 100
= 66.67 %
Round the numbers to the nearest whole tens
625 close to 630
248 is close to 250
630-250= 380
The estimated difference is 380.
Hope this helps!
