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Rashid [163]
3 years ago
12

Maria earns $80 per day working at a gas station. Write an algebraic expression to represent the amount of money she will earn i

n d days.
Mathematics
1 answer:
Simora [160]3 years ago
3 0

Answer:

The algebraic expression is 80d

Step-by-step explanation:

Maria's earnings per day = $80

Number of days= d

Total earnings for d days:

80d

Where,

80 is earnings per day

d is number of days

The algebraic expression is 80d

Algebraic equation is

y= 80d

Where

y= total income earned in d days

The expression is different from am equation because of the equal to sign(=)

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An airplane travels 6111 kilometers against the wind in 9 hours and 7911 kilometers with the wind in the same amount of time. Wh
natima [27]

Answer:

Speed of the plane in still air: 779\; {\rm km \cdot h^{-1}}.

Windspeed: 100\; {\rm km \cdot h^{-1}}.

Step-by-step explanation:

Assume that x\; {\rm km \cdot h^{-1}} is the speed of the plane in still air, and that y\; {\rm km \cdot h^{-1}} is the speed of the wind.

  • When the plane is travelling against wind, the ground speed of this plane (speed of the plane relative to the ground) would be (x - y)\; {\rm km \cdot h^{-1}}.
  • When this plane is travelling in the same direction as the wind, the ground speed of this plane would be (x + y)\; {\rm km \cdot h^{-1}}.

The question states that when going against the wind (v = (x - y)\; {\rm km \cdot h^{-1}},) the plane travels 6111\; {\rm km} in 9\; {\rm h}. Hence, 9\, (x - y) = 6111.

Similarly, since the plane travels 7911\; {\rm km} in 9\; {\rm h} when travelling in the same direction as the wind (v = (x + y)\; {\rm km \cdot h^{-1}},) 9\, (x + y) = 7911.

Add the two equations to eliminate y. Subtract the second equation from the first to eliminate x. Solve this system of equations for x and y: x = 779 and y = 100.

Hence, the speed of this plane in still air would be 779\; {\rm km \cdot h^{-1}}, whereas the speed of the wind would be 100\; {\rm km \cdot h^{-1}}.

3 0
1 year ago
50 POINTS + BRAINLIEST
BARSIC [14]

slope = rise over run = y/x

A (-1,3) slope = 3/-1 = -3

B (1,2) slope = 2/1 = 2

C (-3,-1) slope = -1/-3 = 1/3

2 lines need to be negative reciprocals in order to be a right triangle

negative reciprocal of -3 is 1/3

 so this is a right triangle


3 0
3 years ago
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(5 1/4 - 2 1/2) + (6 2/3 - 3 1/2)
Vaselesa [24]
5 11/12 is the answer
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IceJOKER [234]
The first part is 1325

10 x 35=350

15 x 65=975

The you add them which equals 1325
6 0
3 years ago
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Find the area of the trapezoid. Answer without units.
Leto [7]

Answer:

180

Step-by-step explanation:

Since the type of trapezoid is not listed, I cannot really explain, sorry :/

5 0
3 years ago
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