Answer: The plane had traveled about 264 miles before turning back. The average speed was 230 mph
Step-by-step explanation: 230 - 10 = 220 speed outgoing
230+10 = 240 speed returning
Average speed (220+240)÷2= 460/2 =230 mph (needless to calculate!) Multiplied by total time 2.3 hours = 529 miles total distance.
Traveling the entire distance at 220mph would take about 2.4 hours. Traveling the entire distance at 240mph would take about 2.2 hours, a difference of .20 hours. Cut those times in half:
Traveling at 220mph for 1.2 hours would cover about 264 miles.
Traveling at 240mph for 1.1 hours would cover about 264 miles.
It adds up to 528 miles. The plane can't turn instantly, so figure the turn took the missing mile!
Step-by-step explanation:
To do Order of Operations, we need to go with the order of the formula, PEMDAS.
P= Parenthesis
E= Exponents
M= Multiply (Whatever Comes First in Equation: M and D)
D= Divide
A= Addition (Whatever Comes First in Equation: A and S)
S= Subtraction
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So, we need to start with parenthesis, there aren't any, so we move on to Exponents.
There are no Exponents either, so we start with division, then multiplication.
(We always have to go left to right).
So,
-9 - 6 + <u>8 / -4</u> x -2
-9 - 6 + <u>-2 x -2</u>
-9 - 6 + 4
Our problem is:
-9 - 6 + 4
We do subtraction, then addition. (Left to Right)
<u>-9 - 6 </u>+ 4
<u>-15 + 4</u>
-11.
Therefore, the answer is -11.
(Corrected)
Answer:
∡SYZ = 34.2°
∡XYZ = 68.4°
Step-by-step explanation:
∡SYZ = 34.2° this must be true because this angle is congruent to ∡XYS
∡XYZ = 68.4° this must be true because ∡XYZ = ∡WYS + ∡SYZ
Answer:
Mean = 151
MAD = 9.14
Step-by-step explanation:
Given the data:
135, 160, 145, 155, 170, 150, 142
Mean = Σx / n
Mean = 1057 / 7
Mean = 151
Mean absolute DEVIATION (MAD) : Σ(x - μ) / n
[(135-151) + (160-151) + (145-151) + (155-151) + (170-151) + (150-151) + (142-151)] / 7
Mean absolute deviation = 9.14
F(x) = x^2 - 3x - 7
f(-3) = (-3)^ 2 - 3(-3) - 7
f(-3) = 9 + 9 - 7
f(-3) = 18 - 7
f(-3) = 11
