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maw [93]
4 years ago
9

You have \$20$20dollar sign, 20 to spend on taxi fare. The ride costs \$5$5dollar sign, 5 plus \$2.50$2.50dollar sign, 2, point,

50 per kilometer. Write an inequality to determine the distance in kilometers, ddd, you can ride for \$20$20dollar sign, 20. What is the maximum distance, in kilometers, you can ride for \$20?$20?
Mathematics
1 answer:
mart [117]4 years ago
7 0

Answer:

The answer is 8 kilometers.

Step-by-step explanation:

Let X be the total cost of the taxi fare and Y be the distance traveled. If the taxi fare costs $5, $2.5 for each kilometer, we can write an inequality such as

X = 2.5 x Y.

If the total amount of money for the ride is $20, when we put it into the inequality, 20 = 2.5 x Y

                 Y = 20 / 2.5 = 8.

For $20 you can ride for a maximum distance of 8 kilometers.

I hope this answer helps.

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Use the completing the square method to find the roots of 2x^2+3x-15=13 include the steps, it would be greatly appreciated thank
Monica [59]

Answer:

The roots are

x1= \frac{-3+\sqrt{233}}{4}

x2= \frac{-3-\sqrt{233}}{4}

Step-by-step explanation:

we have

2x^{2}+3x-15=13

so

Group terms that contain the same variable, and move the constant to the opposite side of the equation

2x^{2}+3x=13+15

2x^{2}+3x=28

Factor the leading coefficient  

2(x^{2}+(3/2)x)=28

Complete the square. Remember to balance the equation by adding the same constants to each side

2(x^{2}+(3/2)x+(9/16))=28+(9/8)

2(x^{2}+(3/2)x+(9/16))=233/8

(x^{2}+(3/2)x+(9/16))=233/16

Rewrite as perfect squares

(x+(3/4))^{2}=233/16

square root both sides

(x+\frac{3}{4})=(+/-)\sqrt{\frac{233}{16}}\\ \\(x+\frac{3}{4})=(+/-)\frac{\sqrt{233}}{4}\\ \\x= -\frac{3}{4}(+/-)\frac{\sqrt{233}}{4}

x1= -\frac{3}{4}(+)\frac{\sqrt{233}}{4}=\frac{-3+\sqrt{233}}{4}

x2= -\frac{3}{4}(-)\frac{\sqrt{233}}{4}=\frac{-3-\sqrt{233}}{4}

7 0
3 years ago
50 apples cost $25.how much would 75 apples cost​
inessss [21]

Answer:

150

Step-by-step explanation: one apple cost $0.50, so 75/ $0.50= 150

6 0
3 years ago
Drag the tiles to the boxes to form correct pairs.
e-lub [12.9K]

The trigonometric function gives the ratio of different sides of a right-angle triangle. The measure of ∠C is 28°. And the value of b and c is 7.06 and 3.76, respectively.

<h3>What are Trigonometric functions?</h3>

The trigonometric function gives the ratio of different sides of a right-angle triangle.

\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite the 90° angle.

The sum of all the angles can be written as,

∠A + ∠B + ∠C = 180°

90° + 62° + ∠C = 180°

∠C = 28°

Sin(∠B) = AC/BC

Sin(∠B) = b/8

b = 8 × Sin(62°)

b = 7.06

Cos(∠B) = AB/BC

Cos(∠B) = c/8

c = 8 × Cos(62°)

c = 3.76

Hence, the measure of ∠C is 28°. And the value of b and c is 7.06 and 3.76, respectively.

Learn more about Trigonometric functions:

brainly.com/question/6904750

#SPJ1

4 0
2 years ago
en una bolsa hay menos de 30 semillas. podemos hacer grupos de 4 semillas sin que sobre ninguna. si hacemos grupos de 5 semillas
Pavel [41]
Respuesta: 20 Semillas

20 se puede dividir por 4 y serán 5 grupos sin sobrar ninguna.

y

20 se puede dividir por 5 y serán 4 grupos sin sobrar ninguna.
4 0
2 years ago
What is 3.4- -6 -2.5 ?
Arturiano [62]

Answer:

6.9 I think.

Step-by-step explanation:

3 0
4 years ago
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