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Katarina [22]
3 years ago
5

The cost of an uber ride, y, based on miles, x is represented by y = 2/3x + 4. How much does a 21-mile ride cost ?

Mathematics
1 answer:
dangina [55]3 years ago
6 0

Answer:

Step-by-step explanation:

Let the cost of the Uber ride be represented by y in dollars.

Let the number of miles that the Uber rides be represented by x.

The equation relating x and y is expressed as

y = 2/3x + 4.

This is a slope intercept form equation. The slope is 2/3 and it represents the cost per mile.

The cost of a 21 mile ride will be

Substituting x = 21 into the given equation, it becomes

y = 2/3 × 21 + 4 = 14 + 4 = 18

The 21 mile ride costs $18

Part B) The $46 ride will cost

Substituting y = 46 into the given equation, it becomes

46 = 2x/3 + 4 =

46 - 4 = 2x/3

42 = 2x/3

2x = 42 × 3 = 126

x = 126/2 = 63

The $46 ride will be 63 miles

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What is the median of the following numbers? 10, 6, 4, 4, 6, 4, 110,6,4,4,6,4,1
tatiyna

Answer:

The median is 4

Step-by-step explanation:

1) You order the numbers in order from smallest to largest: 1, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 10, 110

2) Next, you just cross out each number from each side. For example, if you cross out 1 at the beginning, you cross out the 110 at the end and if you cross out the 4 (right after the 1) then you cross out 10 which is the next number in line to the end. You carry on like that until you're left with a lone value in the middle

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3 0
3 years ago
Paul and jose are trying to measure the height of a tree. paul is standing 19m from the foot of the tree and measures the angle
Nina [5.8K]
The firts thig we are going to do is create tow triangles using the angles of elevation of Paul and Jose. Since the problem is not giving us their height we'll assume that the horizontal line of sight of both of them coincide with the base of the tree.
We know that Paul is 19m from the base of the tree and its elevation angle to the top of the tree is 59°. We also know that the elevation angle of Jose and the top of the tree is 43°, but we don't know the distance between Paul of Jose, so lets label that distance as x.
Now we can build a right triangle between Paul and the tree and another one between Jose and the tree as shown in the figure. Lets use cosine to find h in Paul's trianlge:
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h= \frac{19}{cos(59)}
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Now we can use the law of sines to find the distance x between Paul and Jose:
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x= \frac{36.9sin(16)}{sin(43)}
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Now that we know the distance between Paul and Jose, the only thing left is add that distance to the distance from Paul and the base of the tree:
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We can conclude that Jose is 33.9m from the base of the tree.

3 0
3 years ago
Help please, need to show work.
stiks02 [169]

9514 1404 393

Answer:

  3.  m∠A < 80°

Step-by-step explanation:

The exterior angle NGS, marked as 80°, has a measure that is the sum of the measures of the remote interior angles: GAN, GNA.

If we assume that angle measures cannot be zero, then we must have ...

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Since m∠N > 0, the measure of angle A must be less than 80°.

This conclusion matches choice 3.

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