Recall that the length a spring streches varies directly with the amount of weight attached to it. a certain spring stretches 5cm when a 10-gram weight is attached write a direct variation equation relating the weight x and the amount of stretch y.

Answers

Answer 1

Answer: Direct variation is y=kx

In this case, y=1/2x. The spring stretches 5 cm for every 10 grams. Therefore if y=5 and x=10, k would have to be 1/2. That's how we come up with our direct variation model.

Answer 2

Answer: $This\ spring\ stretches\ in\ proportion\ to\ weight,\ that\ is,\ for\ every \n 10\ grams\ of\ weight\ the\ amount\ of\ stretch\ is\ 5\ cm.\n \nx\ [g]\ \ \ |\ \ 10\ \ |\ \ 20\ \ |\ \ 30\ \ |\ \ 40\ \ |...|\ \ \ a\ \ \ |\n------------------\ny\ [cm]\ |\ \ 5\ \ \ |\ \ 10\ \ |\ \ 15\ \ |\ \ 20\ \ |...|\ \ (1)/(2) a\ \ |\n\na\ variation\ equation\ is\ y= (1)/(2) x$

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Solve the equation: 4 1/5 + b = 9 3/5
Please help me solve !!!

(90 ÷ 5) + (78 × 34)

Answers

(90 ÷ 5) + (78 × 34)

= 18 + 2652

= 2670

Answer: 2670

First of all, we need to solve the parentheses.

90/5=18

78(34)=2652

Now we add.

2652+18=2670

Therefore, our answer is 2670

I hope this helps!

Glven a right triangle with the legs measuring 5 meters and 12 meters, use the Pythagorean theorem to solve for the hypotenuse. 12 meters
13 meters
14 meters
15 meters

Answers

Answer:

15 meters

Step-by-step explanation:

Hypotenuse: 15 meters

Marta's jump rope is 10 inches shorter than three times the length of dilbert's rope. if both of their ropes laid together end-to-end measure 120 inches long, how long is Marta's jump rope

Answers

Answer:

x = 75

Marta's jump rope is 75 inches long

Step-by-step explanation:

Hello!! This is how you solve it:

x + ( x - 10 x 3 ) = 120

2x - 10 x 3 = 120

2x - 30 = 120

+ 30. + 30

2x = 150

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2. 2

x = 75

A car is traveling at a rate of 90 kilometers per hour. What is the car's rate in miles per hour? How many miles will the car travel in 4 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answer.Rate:
Distance in 4 hours:

Answers

Answer:

14.065

Step-by-step explanation:

First you wanna transfer it from kilometers to miles.

if 1 mile is = to 1.6 kilometers that is the same as saying

1/1.6, but because we are using 90 we plug it in and it becomes: 90/1.6 which gives you 56.25.

now we know we are going 56.25 miles per hour and because we are traveling 4 hours divide the miles per hour by 4 and you get 14.065.

Which of the following is not a perfect square trinomial?1)144 + 12y + y^2
2)100 + 20y + y^2
3)64 − 16y + y^2
4)25 + 10y + y^2

i need help with this one, please...