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3 years ago

Question 18 please help! i need answers!

Mathematics

2 answers:

kupik [55]3 years ago

6 0

Answer:

y=24

Step-by-step explanation:

32- 3/8y=3/4y +5 (multiple both sides by the greatest common factor(8))

256-3y= 6y+40( move the y to one side)(remember to change the sign)

256-3y-6y=40 (move the numbers to one side)

-9y=40 -256

-9y=-216 ( multiply by -1 to get a positive y)(remember change both sides)

9y=216

y=24

Luden [163]3 years ago

3 0

32 - 3/8y = 3/4y + 5

27 - 3/8y = 6/8y

27 = 9/8y

24 = y

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Evaluate 4(5*1÷20) name the property used in each step

Aliun [14]

Hey!

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3 0

4 years ago

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julsineya [31]

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3 years ago

The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its position after t seconds is

iren [92.7K]

Answer:

The temperature is increasing at the rate of 6.5 degree celcius per second.

Step-by-step explanation:

We are given the following information:

Temperature of a point is given by T(x,y)

After t seconds a bug reaches a point $x = \sqrt{2 + t}, y = 3 + \frac{1}{2}t$

At t = 2, x = 2, y = 4

The temperature function satisfies:

$T_x(2,4) = 8\\T_y(2,4) = 9$

We have to find:

$\displaystyle\frac{dT}{dt} = T_t(x(t), y(t))\\\\= T_x(x(t),y(t)).x'(t) + T_y(x(t),y(t)).y'(t) \\\\= T_x(x(t),y(t)).\displaystyle\frac{1}{2\sqrt{(t+2)}} + T_y(x(t),y(t)).\displaystyle\frac{1}{2} \\\\\displaystyle\frac{dT(x,y)}{dt}_{at~t=2} = \displaystyle\frac{dT(2,4)}{dt}_{at~t=2} = 8.\displaystyle\frac{1}{4} + 9.\displaystyle\frac{1}{2} = 2 + 4.5 = 6.5$