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3 years ago

7

during a class election tge ratio of students who voted for candidate A compared to candidate B was 10:7. if candidate A receive

d 50 votes, what is the combined amount of votes candidate A and candidate B received

1 answer:

telo118 [61]3 years ago

4 0

85 votes total for both candidates

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(15 POINTS!) The graph shows the distance a ghost crab can run over time the D equals the distance in meters and the t equal the

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Answer:

B. d = 5/3t

Step-by-step explanation:

The complete question is shown in the figure attached with.

We need to find the equation of direct variation using the graph. The general equation for a direction variation is:

y = kx

In this case, the variable along x axis is time in seconds i.e. "t" and the variable along y axis is distance in meters i.e. "d". So, the equation for this case would be:

d = kt

We need to find the value of "k" to complete this equation. For this we can use any point from the graph and substitute it in the above equation. From the graph we can see that the distance covered for time = 3 seconds is 5 meters. Substituting t =3 and d = 5 in above equation, we get:

5 = 3k

k = 5/3

Using the value of k in the above equation, we get:

$d=\frac{5}{3}t$

Therefore, option B gives the correct answer

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3 years ago

Question Bellow

Tcecarenko [31]

Answer:

A, B, C

Step-by-step explanation:

Look at how many field goals were actually made and order them from least to greatest- 12, 15, 19. They are already listed from least to greatest in the table.

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A red car is driving along the road in the direction of the police car and is 130 feet up the road from the location of the poli

pishuonlain [190]

Complete question:

A police car is located 50 feet to the side of a straight road. A red car is driving along the road in the direction of the police car and is 130 feet up the road from the location of the police car. The police radar reads that the distance between the police car and the red car is decreasing at a rate of 75 feet per second. How fast is the red car actually traveling along the road.

Answer:

The red car is traveling along the road at 80.356 ft/s

Step-by-step explanation:

Given

Police car is 50 feet side off the road

Red car is 130 feet up the road

Distance between them is decreasing at the rate of 75 feet per sec

Let x be how far the police is off the road.

Let y be how far the red car is up the road.

Let h be the distance between the police and the red car.

This forms a right triangle so we can use the Pythagorean theorem, to solve for h

h² = x² + y²

h² = 50² + 130²

h² = 19400

h = √19400

h = 139.284 ft

Again;

Let dx/dt be how fast the police is traveling toward the road.

Let dy/dt be how fast the red car is traveling along the road.

Let dh/dt be how fast the distance between the police and the car is decreasing.

Recall that, h² = x² + y² (now differentiate with respect to time, t)

2h(dh/dt) = 2x(dx/dt) + 2y(dy/dt)

divide through by 2

h(dh/dt) = x(dx/dt) + y(dy/dt)

since the police car is not, dx/dt = 0

and dy/dt is the how fast is the red car actually traveling along the road

139.284(75) = 50(0) + 130(dy/dt)

10446.3 = 0 + 130(dy/dt)

dy/dt = 10446.3 / 130

dy/dt = 80.356 ft/s

Therefore, the red car is traveling along the road at 80.356 ft/s

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2.5 miles just took the test

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