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Stells [14]
2 years ago
6

A bus traveled 336 miles in 7 hours. It traveled the same number miles each hour. If the bus continues at the same numder of mil

es per hour, how many miles will the travel in 15 hours? Explain.
Mathematics
1 answer:
MrRissso [65]2 years ago
4 0

Answer:

The bus will travel 720 miles in 15 hours.

Step-by-step explanation:

As you know that the bus traveled 336 miles in 7 hours and it traveled the same number miles each hour, you can divide the amount of miles it traveled by the number of hours to determine the amount of miles per hour:

336/7=48

Now, you can multiply the number of miles the bus traveled each hour for 15 hours:

48*15=720

According to this, the answer is that the bus will travel 720 miles in 15 hours.

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Find the length of the chord made by 3x2 - y2 = 3 and y + x – 5 = 0.
MArishka [77]

Answer:

The correct answer is "9√2 units".

Step-by-step explanation:

The given equations are:

⇒ 3x^2-y^2=3...(equation 1)

⇒ y+x-5=0...(equation 2)

According to the 2nd equation, we get

⇒ y+x-5=0

⇒              y=5-x

On substituting the value of "y" in the 1st equation, we get

⇒  3x^2-y^2=3

     3x^2-(5-x)^2=3

     3x^2-(25+x^2-10x)=3

     2x^2+10x-28=0

On taking common, we get

     x^2+5x-14=0

On applying factorization, we get

     x^2+7x-2x-14=0

   x(x+7)-2(x+7)=0

           (x+7)(x-2)=0

                        x+7=0

                              x=-7

or,

                         x-2=0

                                x=2

Now,

The points are:

(-7, 12) = (x₁, y₁)

(2, 3) = (x₂, y₂)

By using the distance formula, the length of chord will be:

= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

On substituting the values in the above formula, we get

= \sqrt{(2-(-7))^2+(3-12)^2}

= \sqrt{(9)^2+(-9)^2}

= \sqrt{81+81}

= 9 \sqrt{2} units

8 0
2 years ago
Triangle ABC is translated and then reflected to map triangle A"B"C" as shown.
makvit [3.9K]

Answer:

Step-by-step explanation:

3 0
2 years ago
Write the number positioned at point D.
inysia [295]

Answer:

-4 3/4

Step by step explanation:

point D is 4 numbers to the left of the 0, meaning it is a negative 4. Then there is also a 3/4 of space between the 4 and point D, meaning point D is -4 3/4 away from 0.

6 0
2 years ago
Read 2 more answers
What is the answer and how do I solve?
8_murik_8 [283]
Because it is a 90° angle and the legs are congruent, the legs intersect with the hypotenuse at the same angle, so the other, unnamed angle at the bottom left is equal to x.

Now we can state that:

2x + 90 = 180
2x = 90
x = 45
4 0
2 years ago
Cooper is taking a multiple choice test with a total of 80 points available. Each question is worth exactly 4 points. What would
VLD [36.1K]

Answer:

80-4(2)=72; 80-4(x) if he got x wrong.

3 0
3 years ago
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