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andrew-mc [135]

3 years ago

9

A small lizard is five sixth inch long. A larger lizard is 6 and four fifths times larger. How long is the larger lizard?

1 answer:

Ulleksa [173]3 years ago

5 0

Answer:

170/30 inches Larger Lizard

Step-by-step explanation:

Small lizard 5/6 inches long

Larger lizard 6 4/5 times (x) larger than the small lizard 5/6 inches long

Step 1. Try to make everything the same before doing anything else. You can do this by getting rid of the whole number in 6 4/5 :

Use the denominator of this equation 6(4/5 ), which is 5, with the whole number (6) and then the add the numerator (4) to it. Example, 5x6= 30, 30+4=34 , you now have 34/5 . Now it is the same as 5/6

Since the size of the larger lizard is 34/5 longer than the size of the small lizard, all you have to do is multiply the fractions together to get your answer;

(5/6) x (34/5)= Numerator 5x34=170 , Denominator 5x6=30

Your answer is: Numerator/Denominator ===> 170/30

The larger lizard is 170/30 inches long or, 17/3 inches long.

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8 0

2 years ago

A particle moves on the hyperbola xy=18 for time t≥0 seconds. At a certain instant, y=6 and dydt=8. What is x that this instant?

professor190 [17]

Answer:

The value of x at this instant is 3.

Step-by-step explanation:

Let $x\cdot y = 18$ , we get an additional equation by implicit differentiation:

$x\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0$ (1)

From the first equation we find that:

$x = \frac{18}{y}$ (2)

By applying (2) in (1), we get the resulting expression:

$\frac{18}{y}\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0$ (3)

$y\cdot \frac{dx}{dt}=-\frac{18}{y}\cdot \frac{dy}{dt}$

$\frac{dx}{dt} = -\frac{18}{y^{2}} \cdot \frac{dy}{dt}$

If we know that $y = 6$ and $\frac{dy}{dt} = 8$ , then the first derivative of x in time is:

$\frac{dx}{dt} = -\frac{18}{6^{2}} \cdot (8)$

$\frac{dx}{dt} = -4$

From (1) we determine the value of x at this instant:

$x\cdot \frac{dy}{dt} = -y\cdot \frac{dx}{dt}$

$x = -y\cdot \left(\frac{\frac{dx}{dt} }{\frac{dy}{dt} } \right)$

$x = -6\cdot \left(\frac{-4}{8} \right)$

$x = 3$

The value of x at this instant is 3.

4 0

3 years ago

mallorie has $5 in her wallet. If this is 10% of her monthly allowance, what is her monthly allowamce

7nadin3 [17]

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4 0

3 years ago

Find the area of a right triangle with a<br>height of 8 1/2 feet and a base of 15 feet,

slamgirl [31]

Answer:

The area is 63.75 feet square

Step-by-step explanation:

Formula for area of a triangle is 1/2 × base × height

And we are given each of this variables in the question above

Therefore you just have to input those values to the formula

1/2×17/2×15

255/4

=63.75

Therefore the area of the triangle is 63.75 feet square

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3 years ago

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Anuta_ua [19.1K]

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3 years ago