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3 years ago

Suppose y varies directly with x, and y= 7 when x = 3. What is the value of x when y = 28? If 7 = k(3) then 28 = k(x) Find x

1 answer:

7 0

Let y and x be the numbers that varies directly (that means they keep the same proportion)

Then we have 7y = 3x, OR y/x =7/3 (this ratio should be kept for any value of x and y:
y/x = 7/3, if y = 28, then 28/x = 7/3 or x = (3)(28)/7 = 12

SO X = 12

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A bug splatters on the windshield of a moving car. Describe the 1. Forces 2. Impulses 3. Momentum changes 4. And accelerations o

uranmaximum [27]

Answer:

acceleration=force/mass

Due to variation in the mass[ as same force as per magnitude acts on both of them] the acceleration developed in the bug will be more and the acceleration developed in the car is negligible.

impulse=change in momentum

The impulse of bug is more and that of car is small.

momentum changes=change in momentum

force=change in momentum/time of contact

the force exerted by car on the bug will be more than the converse

Total. momentum is conserved , so magnitude of change in momemtum or impulse is same. By Newtons third law, since the bug have smaller mass, its change in magnitude of velocity is larger.

Step-by-step explanation:

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2 years ago

All the select drop box is. are not and are

Brilliant_brown [7]

Answer:

Step-by-step explanation:

Corresponding angles of both the squares are congruent. (angles of a square measure 90°)

Ratio of the sides of the given squares = $\frac{\text{Side length of small square}}{\text{Side length of the large square}}$

= $\frac{2}{5}$

This ratio of side lengths is constant for all corresponding sides.

Therefore, corresponding sides are proportional.

Since, all angles of both the squares are congruent and all the sides are proportional, both the squares will be similar.

Scale factor = $\frac{\text{Side length of large square}}{\text{Side length of the smaller square}}$

= $\frac{5}{2}$

= 2.5

This sequence of similarity transformations shows the figures are similar.

8 0

2 years ago

What the value of the numerical expression 5/8-5/12(3-1/2)+2/3?

kati45 [8]

0.25

think of P.E.M.D.A.S

3 0

2 years ago

At a food festival, 3/8 of the dishes were from china. Another 12.5% of the dishes were from japan. What percent of the dishes w

MrMuchimi

Answer: 50%

Step-by-step explanation:

Let x = Total dishes.

Dishes from China = $\dfrac38x$

Dishes from Japan = $12.5\% \text{ of }x= 0.125x$

Total dishes from China and Japan = $\dfrac38 x+0.125x=0.375x+0.125x=0.5x$

Dishes from other countries $= x- 0.5x= 0.5x$

Percent of dishes from other countries= $\dfrac{0.5x}{x}\times100\%= 50\%$

Hence, dishes from other countries = 50%

5 0

2 years ago

In a fish tank, there are 24 goldfish, 2 angel fish, and 5 guppies. if a fish is selected at random, find the probability that i

Artist 52 [7]

There are a total of 31 fish in the tank. Therefore, the probability of it being a goldfish is 24/31 or about 77.4%, since there are 24 goldfish. The probability of it being an angel fish is 2/31 or about 6.45%, for the same reason as before.

3 0

2 years ago