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nata0808 [166]
3 years ago
13

HELP PLEASEEEEEEEEEEE

Mathematics
1 answer:
professor190 [17]3 years ago
4 0
Question 5:
x/3=6
x=3(6)
x=18

Question 4:
2.3k=4.83
k=4.83/2.3
k=2.1

Question 6:
y=3/4-1/2
y=1/4

Question 2:
8r=24
r=3

Hope this helps!! :)
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A taxi charges a base fee plus $0.75/km.
Naily [24]

a) The rate of change in this situation is 0.75 dollars/km

b) The equation for the cost of hiring a taxi in terms of length of the

trip is y = 0.75 x + b

c) The initial value represents in this situation is $1.2

Step-by-step explanation:

The given is:

  • A taxi charges a base fee plus $0.75/km.
  • A 10-km trip costs $8.70

∵ A rate of change is a rate that describes how one quantity

  changes in relation to another quantity

∵ The unit cost of a taxi is 0.75 dollars for each 1 kilometer

∴ The rate of change = 0.75 dollars/km

a) The rate of change in this situation is 0.75 dollars/km

Assume that the cost of hiring a taxi is $y for length of a trip x km

and a base fee of $b

∵ The length of the trip = x km

∵ The cost per km = $0.75

∵ The base fee = $b

∵ The cost of hiring a taxi = $y

- Write an equation for the the cost of hiring a taxi

∴ y = 0.75 x + b

b) The equation for the cost of hiring a taxi in terms of length

of the trip is y = 0.75 x + b

∵ The length of the trip is 10 km

∴ x = 10

∵ The cost of the hiring a taxi is $8.70

∴ y = 8.70

- Substitute these values in the equation of part (b)

∵ y = 0.75 x + b

∴ 8.70 = 0.75(10) + b

∴ 8.70 = 7.5 + b

- Subtract 7.5 from both sides

∴ 1.2 = b

∵ b is the base fee

∴ b is the initial value

∴ The initial value = $1.2

c) The initial value represents in this situation is $1.2

Learn more:

You can learn more about word problems in brainly.com/question/3950386

#LearnwithBrainly

3 0
3 years ago
Read 2 more answers
Find the distance between the points (-10, 9) and (2, -7).<br> Hint: Use the Pythagorean theorem
Aleksandr [31]
The distance between -10 and 9 is 19 and the distance between 2 and -7 is 9

Hope this helps
7 0
3 years ago
In Exercises 1-4, tell whether the ordered pair is a solution of
Wittaler [7]

Answer: 1. No     2. yes    3. yes    4. no

Step-by-step explanation:

If you locate the points on the graph, 1 and 4 are not in the shaded and 2 and 3 are, which means they are not solutions.

7 0
3 years ago
Monica wants to measure the dimensions of her rectangular lawn. If the longer side of the lawn is (x + 3) feet and the diagonal
Nikolay [14]

Answer:

\text{Hence, The shortest side of her Lawn is} \sqrt{2x+7}\text{ feet}

Step-by-step explanation:

Given: Monica wants to measure the dimensions of her rectangular lawn.

If the longer side of the lawn is BC=(x + 3) feet.

If the diagonal length is AC=(x + 4) feet.

Let the shortest side of lawn is AB=y feet

The angle of rectangle is right angle.

Using diagonal, shortest and longer side to make a right angle triangle whose hypotenuse is length of diagonal.

Using Pythagoreous theorem,

AB^2+BC^2=AC^2

y^2+(x+3)^2=(x+4)^2

y^2=(x+4)^2-(x+3)^2

y^2=x^2+16+8x-x^2-9-6x

y^2=2x+7

y=\pm \sqrt{2x+7}

We will ignore the negative value because side of rectangle can't be negative.

y=\sqrt{2x+7}\text{ feet}

\text{Hence, The shortest side of her Lawn is} \sqrt{2x+7}\text{ feet}

4 0
3 years ago
What is 3^2+4^2=c^2
nalin [4]

Answer:

c = +5 or c= -5, both are possible

Step-by-step explanation:

3^2 = 9

4^2 = 16

c^2 = 25

c = + or - sqrt(25)

c = + 5 or -5

4 0
3 years ago
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