Incorrect, she should have divided both sides by 8. The answer should be x=7. There is only 1 solution to the equation because x is raised to the first degree. It is not a polynomial equation so there won't be more than 1 answer to the equation.
To find the lower quartile take the number of terms=n=12
to find the lower quartile take the equation (n+1)/4= 3.25
this means that the lower quartile will be at the 3.25th position int he sequence when all the terms are ordered from smallest to largest. so when ordered: 12 19 19 19.5 20 28 28 28.5 34 36 45 45
so the lower quartile is between 19 and 19.5 exactly 19.125
<span> z2 • (5z2 + z - 1
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3
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Answer: The area of the plate is 81.67 in^2
Step-by-step explanation:
If we have a circle of radius R, the area of this circle can be computed as:
A = pi*R^2
where pi = 3.14
And the circumference is:
C = 2*pi*R
and we know that this is equal to 32 in, then:
32in = 2*pi*R
Now we can isolate R, and we get:
32in/(2*pi) = R
32in/(2*3.14) = R = 5.1 in
Then the area of the plate is:
A = 3.14*(5.1in)^2 = 81.67 in^2
Answer:
-5
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
45−(5+8y−3(y+3))=−3(3y−5)−(5(y−1)−2y+6)
45+−1(5+8y−3(y+3))=−3(3y−5)+−1(5(y−1)−2y+6)(Distribute the Negative Sign)
45+(−1)(5)+−1(8y)+−1(−3(y+3))=−3(3y−5)+−1(5(y−1))+−1(−2y)+(−1)(6)
45+−5+−8y+3y+9=−3(3y−5)+−5y+5+2y+−6
45+−5+−8y+3y+9=(−3)(3y)+(−3)(−5)+−5y+5+2y+−6(Distribute)
45+−5+−8y+3y+9=−9y+15+−5y+5+2y+−6
(−8y+3y)+(45+−5+9)=(−9y+−5y+2y)+(15+5+−6)(Combine Like Terms)
−5y+49=−12y+14
−5y+49=−12y+14
Step 2: Add 12y to both sides.
−5y+49+12y=−12y+14+12y
7y+49=14
Step 3: Subtract 49 from both sides.
7y+49−49=14−49
7y=−35
Step 4: Divide both sides by 7.
7y
7
=
−35
7
y=−5
