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Lera25 [3.4K]
1 year ago
14

If y=kx and k is constant, what's the proportional relationship between x and y?

Mathematics
1 answer:
Anon25 [30]1 year ago
5 0

Answer: k

Step-by-step explanation:

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A car travels 312 miles in the same time that a motorcycle traveled 272. If the cars speed is 10mph more than the motorcycles, f
dimaraw [331]

Answer: speed of the car is 88 miles per hour

the speed of the motorcycle is 78 miles per hour

Step-by-step explanation:

Number of miles travelled by car = 312

Number of miles travelled by motorcycle = 272

Let x = speed of the car

Let y = speed of the motorcycle

If the car's speed is 10mph more than the motorcycle's, it means

x = y + 10 - - -- - - 1

Time taken for car to travel 312 miles is distance /speed = 312/x

Time taken for motorcycle to travel 272 miles is distance /speed = 272/y

The car travels 312 miles in the same time that a motorcycle traveled 272.

This means

312/x = 272/y

312y = 272x

y = 272x/312

Substituting y = 272x/312 into equation 1, it becomes

x = 272x/312 + 10

312x = 272x + 3120

312x-272x = 3120

40x = 3120

x = 3120/40 = 78 miles per hour

x = y + 10 = y + 78

x = 88 miles per hour

3 0
2 years ago
Solve for x.<br><br> 2(x-4)=x + 4 <br><br> X=___
guapka [62]
2x-8=x+4
Get the x to the other side and the 8 to the opposite
2x-x=4+8
X=12
6 0
3 years ago
What is the product of 3x(x2 + 4)?<br> O x² + 3x +4<br> O 3x3 + 4<br> O 3x3 + 12x<br> 3x² + 12x
Svetradugi [14.3K]

Answer:

3x³ + 12x

Step-by-step explanation:

Given

3x(x² + 4) ← multiply each term in the parenthesis by 3x

= 3x³ + 12x

6 0
3 years ago
Water flows at 12 m/s in a horizontal pipe with a pressure of 3.0 104 n/m2. if the pipe widens to twice its original radius, wh
Alexxx [7]
Total pressure is constant and PT = P = 1/2*ρ*v^2 So p1 + 1/2*ρ*v1^2 = p2 + 1/2*ρ*v2^2 and from continuity we have ρ*A1*v1 = ρ*A2*v2 So v2 = v1*A1/A2 since r2 = 2r1 then A2 = 4A1 so v2 = v1/4 Now from above p2 = p1 + 1/2*ρ*v1^2 - 1/2*ρ*v2^2 = p1 + 1/2*ρ*v1^2 - 1/2*ρ*v1^2/4^2 So p2 = 3.0x10^4Pa + 1/2*1000kg/m^3*(12m/s)^2 - 1/2*1000kg/m^3*12^2/16 = 9.75x10^4Pa = 9.8x10^4Pa
7 0
3 years ago
How do you find the answer so confused
alexandr402 [8]
For which question, I can help,
<span>for number 9, parallel lines have the same exact slope, so divide each of them by to isolate the y and then see if the slope (number multiplied by x) is the same as the other problems . PS: focus on the slope, rest of equation doesn't matter in this question</span>
5 0
3 years ago
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