<h2>
Answer:</h2>
The speed of the commercial jet is while the speed of the private airplane is
<h2>
Step-by-step explanation:</h2>
Let's name the commercial jet as cj and private airplane as pa, so we know the following:
<u>It takes the commercial jet 1.1 hours for the flight, so:</u>
<u>It takes the private airplane 1.8 hours for the flight, so:</u>
<u>The speed of the commercial jet is 210 miles per hour faster than the speed of the private airplane:</u>
Let's name the speed of the commercial jet as and the speed of the private airplane as , then:
From physics we know that:
Since the distance from Denver to phoenix is unique, then:
Thus, from the equation and given the relationship we have:
Finally, the speeds are:
Answer:
a
Step-by-step explanation:
dilation means to expand, and the small square is expanding to twice its size, so 2
Answer:
Given expressions are,
217 x 328 x 11
213 x 345 x 74,
Since, 217 = 7 × 31
328 = 2 × 2 × 2 × 41,
11 = 1 × 11,
So, we can write, 217 x 328 x 11 = 7 × 31 × 2 × 2 × 2 × 41 × 1 × 11
Now, 213 = 3 × 71
345 = 3 × 5 × 23,
74 = 2 × 37,
So, 213 x 345 x 74 = 3 × 71 × 3 × 5 × 23 × 3 × 5 × 23
Thus, GCF ( greatest common factor ) of the given expressions = 1 ( because there are no common factors )
We know that if two numbers have GCF 1 then their LCM is obtained by multiplying them,
Hence, LCM ( least common multiple ) of the given expressions = 217 x 328 x 11 x 213 x 345 x 74
Let the number of seats in section A be x, that of section B y and that of secyion C z. Then
x + y + z = 52000 . . . (1)
x = y + z . . . (2)
42x + 36y + 30z = 1960200 . . . (3)
Putting (2) into (1), gives
2x = 52000
x = 52000/2 = 26000
From (2) and (3), we have
y + z = 26000 . . . (4)
42(26000) + 36y + 30z = 1960200
36y + 30z = 1960200 - 1092000
36y + 30z = 868200 . . . (5)
(4) * 30 => 30y + 30z = 780000 . . . (6)
(5) - (6) => 6y = 88200
y = 88200/6 = 14700
From (4), z = 26000 - 14700 = 11300
Therefore, there are 26,000 seats in section A, 14,700 seats in section B and 11,300 seats in section C.
9514 1404 393
Answer:
a) S(p) = -97.78p +2977.78
b) about 98 fewer shirts per week will be sold for each $1 increase in price
c) 533 shirts per week
d) $15.63
Step-by-step explanation:
a) You are given two ordered pairs: (p, s) = (10, 2000) and (19, 1120). The two-point form of the equation for a line can be used.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
s = (1120 -2000)/(19 -10)(p -10) +2000
s = -97.78(p -10) +2000
S(p) = -97.78p +2977.78
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b) The slope is shirts/dollar, meaning about 98 fewer shirts will be sold for each dollar increase in price.
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c) S(25) ≈ 533
At a price of $25, the store would sell about 533 shirts per week.
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d) 1450 = S(p) = -97.78p +2977.78
-1527.78 = -97.78p
15.625 = p ≈ 15.63
The store should charge $15.63 per shirt to maintain sales of 1450 shirts per week.