Answer:
0ne solution; x = 5
Step-by-step explanation:
if y equals both 5x - 10 and 10 + x then you can do the following:
5x - 10 = 10 + x
4x = 20
x = 5
Answer: chicken $8, duck $5
Explanation:
x - the cost of a chicken
y - the cost of a duck
he sold 50 chickens and 30 ducks for $550: 50x + 30y = 550
he sold 44 chickens and 36 ducks for $532: 44x + 36y = 532
50x + 30y = 550 divide by 10
44x + 36y = 550 divide by 4
______________
50x/10 + 30y/10 = 550/10
44x/4 + 36y/4 = 532/4
______________
5x + 3y = 55
Multiply by (-3)
11x + 9y = 133
______________
5x * (-3) + 3y * (-3) = 55 * (-3)
11x + 9y = 133
______________
-15x - 9y = -165
11x + 9y = 133
______________
Sum up:
-4x + 0y = -32
-4x = -32
x = -32/-4
x = 8
Since 5x + 3y = 55 and x = 8, then:
5 * 8 + 3y = 55
40 + 3y = 55
3y = 55 - 40
3y = 15
y = 15/3
y = 5
Answer:
The answer for the volume of the solid is 7098.67 unit^3.
Step-by-step explanation:
As mentioned in the question semicircle y Equals
y=−√121−x^2
to the semicircle
y=√121−x^2
Base of square is,
B=2√121−x^2
Area of square:
A=b^2
Substitute:
A=(2√121−x^2)^2
=4(121−x^2)
limits are from:
−11 to 11.
Expression since the limits are -11 and 11.
Answer:I am doing this to
Step-by-step explanation:
The error rate has decreased after changing the painting process.
<u>Step-by-step explanation:</u>
Abdulla knows that 20 percent of the parts have an error in their painting. After suggesting changes in painting process, he wants to know whether the error rate has changed.
Number of parts in the random sample=400400400
Number of parts that had an error=606060
We have to determine what percentage of 400400400 is 606060
After changing the painting process 0.15% of parts have error.
The previous percentage was 20.Hence the error rate has clearly changed.