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2 years ago

X varies directly with y. If x = 60 when y = 75. find x when y = 32.

Mathematics

2 answers:

lbvjy [14]2 years ago

6 0

Answer:

25.6

Step-by-step explanation:

find constant of variation ('k'):

y = kx

75 = 60k

k = 75/60 or 5/4

32 = 5/4x

cross-multiply:

5x = 128

x = 25.6

Alex Ar [27]2 years ago

3 0

Answer:

x=17

Step-by-step explanation:

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Can someone help me? (A) 1.5 (B) 3 (C) 4.5 (D) 6

zhenek [66]

Find the horizontal distance of 230 and find the Vertical distance , which is where the black dot is located.

The black dot is on 49 inches.

Now find the vertical distance f the black line at horizontal 230: This is on 47.5.

The difference between the two is : 49 - 47.5 = 1.5

The answer would be A. 1.5

6 0

3 years ago

Read 2 more answers

(TIMED), Which equation is represented in the graph?

AURORKA [14]

Answer:

y = e^x

Step-by-step explanation:

That curve represents a typical function of y = e^x, and to decide if it is y = e^x or y = e^x + 1 you need to replace x = 0

y = e^(0) = 1

y = e^(0) + 1 = 2

If you see the graph when x = 0, y = 1

So it is y = e^x

7 0

3 years ago

Which inequality is represented by the graph? y≥35x−1.5 y≤35x−1.5 y<35x−1.5 y>35x−1.5

Setler79 [48]

Answer:

y > 0.6x - 1.5

Step-by-step Explanation:

We need two points, to get to the equation of the graph.

Since we've got the following equation for two points (x1, y1), (x2, y2):-

$\boxed{ \mathsf{ \red{y - y_{1} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} (x - x_{1}) }}}$

okay soo

I found two points that lie on this graph, not on the shaded region but yeah the dotted line which defines the graph.

one point is (0, -1.5) which lies on the y axis(the point where the dotted line touches the y axis)

other point is (2.5, 0) and this lies on the x axis

placing these points in the place of (x1, y1) and (x2, y2) in the above mentioned equation

$\mathsf{\implies y - ( - 1.5) = \frac{0 -( - 1.5)}{2.5 -0 } (x -0 )}$

you can take any one as (x1, y1) or (x2, y2).

so upon solving the above equation we get

$\mathsf{\implies (y + 1.5) = \frac{0 + 1.5}{2.5 } (x )}$

$\mathsf{\implies y + 1.5 = \frac{ 1.5}{2.5 } x }$

$\mathsf{\implies y + 1.5 = \frac{ \cancel{1.5}\:\:{}^3}{\cancel{2.5}\:\:{}^5 } x }$

$\mathsf{\implies y + 1.5 = \frac{ 3}{5 } x }$

multiplying both sides by 5

$\mathsf{5y + 7.5 = 3x}$

okay so this is the required equation of the dotted line

now we'll find the inequality

for this check whether the origin (0,0) lies under the shaded region or not

in this case it does

replacing x and y with 0

$\mathsf{\implies5(0) + 7.5 = 3(0)}$

$\mathsf{\implies0 + 7.5 = 0}$

this is absurd, 7.5 is not equal to 0 so we're gonna replace that equals sign with that of inequality

7.5 is greater than 0! so,

$\mathsf{\implies7.5 > 0}$

this goes for the whole equation, since we didnt swap any thing from left to right side of the equation or vice versa we can use this sign, to obtain the required inequality

$\mathsf{5y + 7.5 > 3x}$

dividing this inequality by 5, since there's no co-efficient in front of y in the given answers

we get

y + 1.5 > 0.6x

taking 1.5 to the RHS

that is the last option

5 0

3 years ago

In the Hawaiian Beach Boy surf board vendor scenario, what if the fine was increased to $190 but the probability of a fine decre

zloy xaker [14]

Answer:

$190.50

Step-by-step explanation:

Expected value is the sum of each possible income multiplied by its probability.

There's a 5% chance that the vendor makes $200 and loses $190 (net gain of $10).

There's a 95% chance that the vendor makes $200 and loses $0 (net gain of $200).

So the expected value is:

Exp(RS) = $10 × 0.05 + $200 × 0.95

Exp(RS) = $190.50

5 0

3 years ago

Simplify the following expression (4.1 × 105) + (5.5 × 106)

kakasveta [241]

Answer:

It is 1130.1 hope this helps

5 0

3 years ago