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4 years ago

Patricia can drive 36 kilometers for every 3 liters of gas she puts in her car.

Mathematics

2 answers:

zloy xaker [14]4 years ago

5 0

36 km
--------- = 12 km/liter
3 lit

Pat can drive 12 km per liter of gas.

masha68 [24]4 years ago

4 0

Answer:

The missing value is 132.

Step-by-step explanation:

Consider the complete question is "Patricia can drive 363636 kilometers for every 333 liters of gas she puts in her car. Complete the table using equivalent ratios. "

Kilometers Liters

36 3

48 4

?? 11

Let the missing value be x.

It is given that Patricia can drive 36 kilometers for every 3 liters of gas.

3 Liters = 36 kilometers

$\frac{kilometer}{liter}=\frac{36}{3}$

11 liters = x kilometers

$\frac{kilometer}{liter}=\frac{x}{11}$

Equate both ratios.

$\frac{x}{11}=\frac{36}{3}$

$\frac{x}{11}=12$

Multiply both sides by 11.

$x=12\times 11$

$x=132$

Therefore, the missing value is 132.

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2 years ago

Read 2 more answers

In triangle abc, the perimeter is 36, and ab=ac. line ad is perpendicular to bc at the point d, and triangle abd's perimeter is

Musya8 [376]

Let x=ab=ac, and y=bc, and z=ad.

Since the perimeter of the triangle abc is 36, you have:

Perimeter of abc = 36
ab + ac + bc = 36
x + x + y = 36
(eq. 1) 2x + y = 36

The triangle is isosceles (it has two sides with equal length: ab and ac). The line perpendicular to the third side (bc) from the opposite vertex (a), divides that third side into two equal halves: the point d is the middle point of bc. This is a property of isosceles triangles, which is easily shown by similarity.

Hence, we have that bd = dc = bc/2 = y/2 (remember we called bc = y).

The perimeter of the triangle abd is 30:

Permiter of abd = 30
ab + bd + ad = 30
x + y/2 + z =30
(eq. 2) 2x + y + 2z = 60

So, we have two equations on x, y and z:

(eq.1) 2x + y = 36
(eq.2) 2x + y + 2z = 60

Substitute 2x + y by 36 from (eq.1) in (eq.2):

(eq.2') 36 + 2z = 60

And solve for z:

36 + 2z = 60 => 2z = 60 - 36 => 2z = 24 => z = 12

The measure of ad is 12.

If you prefer a less algebraic reasoning:

- The perimeter of abd is half the perimeter of abc plus the length of ad (since you have "cut" the triangle abc in two halves to obtain the triangle abd).

- Then, ad is the difference between the perimeter of abd and half the perimeter of abc:

ad = 30 - (36/2) = 30 - 18 = 12

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3 years ago

Read 2 more answers

How do you find the derivative of 1/logx?

valentina_108 [34]

The derivative of 1/logx is With the chain rule.

1log(x)=log(x)−1 is ,= -1xlog(x)2 .

The by-product of logₐ x (log x with base a) is 1/(x ln a). Here, the thrilling issue is that we have "ln" withinside the by-product of "log x". Note that "ln" is referred to as the logarithm (or) it's miles a logarithm with base "e".

The by-product of 1/log x is -1/x(log x)^2. Note that 1/logx is the reciprocal of log.

$With the chain rule. \\ 1log(x)=log(x)−1 \\ So you follow the chain rule to the electricity after which to the log: \\ ddxlog(x)−1=−1⋅log(x) \\ \\−2⋅ddxlog(x) \\ =−1log(x)21x \\ =−1xlog(x)2 .$