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nadezda [96]
3 years ago
8

The value of y is directly proportional to the value of x. If y = 180 when x = 50, the value of y when x = 25?​

Mathematics
2 answers:
Triss [41]3 years ago
8 0

Answer: y = 90

Step-by-step explanation:

Since x and y are proportional, when x =25 (which is 50 divided by 2), y would be 90 since 90 is 180 divided by 2.

cluponka [151]3 years ago
4 0

\LARGE{ \underline{ \red{ \rm{Required \: answer:}}}}

When two numbers or quantities are Directly proportional to each other, their ratio is constant or we can write is as:

\boxed{ \rm{ \frac{x}{y}  = constant}} \implies \boxed{ \rm{ \frac{x1}{y1}  =  \frac{x2}{y2} }}

GiveN:

  • When x = 50, y = 180

To FinD:

  • Value of y when x = 25.....?

Step-wise-Step Explanation:

According to the relation between two numbers which are directly proportional to each other:

⇒ x1 / y1 = x2 / y2

Plugging the given values:

⇒ 50 / 180 = 25 / y2

Cross multiplying,

⇒ y2 = 180 × 25 / 50

⇒ y2 = 90

Thus, value of y when x = 25 is <u>9</u><u>0</u><u>.</u>

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6 sweets cost 24p altogether how much do 5 sweets cost
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3 years ago
Find r(t) if r'(t) = 5t4i + 6t5j + t k and r(1) = i + j.
Vladimir [108]
\mathbf r(t)=\displaystyle\int(5t^4\,\mathbf i+6t^5\,\mathbf j+t\,\mathbf k)\,\mathrm dt
\mathbf r(t)=(t^5+C_1)\,\mathbf i+(t^6+C_2)\,\mathbf j+\left(\dfrac12t^2+C_3\right)\,\mathbf k

Given \mathbf r(1)=\mathbf i+\mathbf j, we have

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8 0
3 years ago
(1 point) A particle starts at the point P=(−2,−1,3)P=(−2,−1,3) when t=0t=0 and moves along a straight line toward Q=(−4,0,6)Q=(
Ahat [919]

Answer:

The position is given by r(t) =  (-2 -t √14, 1 + √3.5, 3 + 3√3.5)

Step-by-step explanation:

The direction is given by the difference between the starting point and the end point, thus it is (-4,0,6)-(-2,-1,3) = (-2,1,3). The norm of this vector is        √( (-2)²+1²+3²) = √14 = 3.7416 secons

Since the speed is 7 cm/sec, we need to multiply this vector by 7/√14 = √3.5 in order to obtain how much does the particle advance each second.

As a consecuence, it advances (-2,1,3) * √3.5 = (- √14, √3.5, 3 √3.5)

And, as a result, the position after t seconds is given by the function

r(t) = (-2,1,3) + t (-√14, √3.5, 3 √3.5) = (-2 -t √14, 1 + √3.5, 3 + 3√3.5)

8 0
3 years ago
1--1/3(-3) + 4(1)+12=3(-3)
igor_vitrenko [27]

Answer:

No. The answer on the right is positive 16 while the answer on the left is negative 9. 16≠-9

Step-by-step explanation:

6 0
2 years ago
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