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gtnhenbr [62]
3 years ago
5

The speed of a train is 35 miles per hour less than 2 times the speed of a car. If the speed of the train is 60 miles per hour,

how fast is the car going? Leave the answer as a fraction.
Mathematics
1 answer:
Fudgin [204]3 years ago
6 0

Answer:

95/2 mph

Step-by-step explanation:

speed of train = 60 mph

speed of car = x

"The speed of a train is 35 miles per hour less than 2 times the speed of a car."

2x - 35 = 60

2x = 95

x = 95/2

Answer: 95/2 mph

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If x + 12 ≤ 5 − y and 5 − y ≤ 2(x − 3), then which statement is true? A. x + 12 ≤ 2(5 − y) B. x + 12 ≤ 2x − 3 C. x + 12 ≤ 2(x −
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Answer: The correct option is,

C. x + 12 ≤ 2(x − 3)

Step-by-step explanation:

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x + 12 ≤ 5 − y and 5 − y ≤ 2(x − 3)

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Here, a ≤ b and b ≤ c

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4 years ago
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In Exercise 4, find the surface area of the solid<br> formed by the net.
Fittoniya [83]

Answer:

3. 150.72 in²

4. 535.2cm²

Step-by-step Explanation:

3. The solid formed by the net given in problem 3 is the net of a cylinder.

The cylinder bases are the 2 circles, while the curved surface of the cylinder is the rectangle.

The surface area = Area of the 2 circles + area of the rectangle

Take π as 3.14

radius of circle = ½ of 4 = 2 in

Area of the 2 circles = 2(πr²) = 2*3.14*2²

Area of the 2 circles = 25.12 in²

Area of the rectangle = L*W

width is given as 10 in.

Length (L) = the circumference or perimeter of the circle = πd = 3.14*4 = 12.56 in

Area of rectangle = L*W = 12.56*10 = 125.6 in²

Surface area of net = Area of the 2 circles + area of the rectangle

= 25.12 + 125.6 = 150.72 in²

4. Surface area of the net (S.A) = 2(area of triangle) + 3(area of rectangle)

= 2(0.5*b*h) + 3(l*w)

Where,

b = 8 cm

h = \sqrt{8^2 - 4^2} = \sqrt{48} = 6.9 cm} (Pythagorean theorem)w = 8 cm[tex]S.A =  2(0.5*8*6.9) + 3(20*8)

S.A =  2(27.6) + 3(160)

S.A =  55.2 + 480

S.A = 535.2 cm^2

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4 years ago
Rewrite<br> 5 exponent 4 multiplied by 2 exponent 4 over 10 slash exponent 3 <br> as a single power.
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Answer:

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Step-by-step explanation:

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