This is a system of equations problem.
Blueberry = X, blackberry = Y
Joe:
5x + 10y = 135
James:
x + 9y = 104
Let’s isolate x from James’ equation.
x = 104 - 9y
Now substitute that into the first equation.
5(104 - 9y) + 10y = 135
520 - 45y + 10y = 135
-35y = -385
y = -385/-35. The negatives cancel out, leaving us with $11 for blackberries.
Now we can substitute that value into James’s equation.
x + 9(11) = 104
x = 104 - 99
x = $5
Final answer: Blueberry pies cost $5, blackberry pies cost $11.
Answer:
y=4x-17
Step-by-step explanation: Distribute the 4(x-5)
4x-20
Then add three to both sides
y=4x-17
because y^3 is raised to the power of two, we will have to multiply the exponents rather than adding them.
By distributing the power of 2, we will get y^2(6).
Because now the exponents are being multiplied, we can just add them to get y^8. The other y has a power of 1, so we'll just add the power of that y as well to get y^9.
summary:
multiply exponents if they are being raised to a power.
add exponents if they are being multiplied, and only add them if they have the same base (in this case, both the bases of the exponents are y, so we can add them)
Since we already know that the speed of sound is 344m per second, there are 60 seconds in one minute, and there are 60 minutes in one hour, we just multiply 344 by 60, giving us 20,640. Then we multiply 20,640 by 60 to get an answer of 1,238,400 meters per hour.
Answer:
+1.12 and -1.12
Step-by-step explanation:
Let the two z scores be
.
Since the two Z-scores that separate the middle 73.72% on the Standard Normal Curve, this can be represented by the equation:

From the z table of the normal distribution, z₁ = 1.12. That is a z score of 1.12 gives 0.8686.
The two z scores are +1.12 and -1.12 = ± 1.12