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3 years ago

If p and q vary inversely and p is 26 when q is 9, determine q when p is equal to 18.

Mathematics

1 answer:

Rufina [12.5K]3 years ago

6 0

Answer:

q = 13

Step-by-step explanation:

p and q vary inversely:

p = k/q

If p = 26, q = 9, find k:

26 = k/9
k = 26*9 = 234

The equation is:

p = 234/q

When p = 18, q is:

18 = 234/q
q = 234/18
q = 13

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A fuel tank contains 1 3/4 gallons of gasoline. Casey adds 33 1/3 gallons of

romanna [79]

Answer:

The gallons of gas the tank contain now is 35 1/12.

Step-by-step explanation:

Given:

Fuel tank contains 1 3/4 gallons of gasoline.

Casey adds 33 1/3 gallons of gasoline to the tank.

Now, to find the total gallons of gas the tank contain.

Converting the mixed fractions into improper.

Gallons of gasoline in fuel tank $=1\frac{3}{4}=\frac{7}{4}$ .

Gallons of gasoline Casey adds $=33\frac{1}{3} =\frac{100}{3}$ .

According to question:

By adding we get the total gallons of gasoline now tank contain:

$\frac{7}{4} +\frac{100}{3}$

$=\frac{7\times 3+100\times 4}{12}$

$=\frac{21+400}{12}$

$=\frac{421}{12}$

$=35\frac{1}{12}$

Therefore, the gallons of gas the tank contain now is 35 1/12.

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4 years ago

Suppose (6,1) is a point on the graph y=f(x) for each statement below, describe the transformation and determine what points (6,

bearhunter [10]

Answer:

y= f(x)-5

Step-by-step explanation:

y=f(x) moves 5 to the right

6 0

3 years ago

Please help in test.

OverLord2011 [107]

Answer:

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5 0

3 years ago

X2 = 81/100 ...................................................

creativ13 [48]

Answer: x=0.9,−0.9

Step-by-step explanation:

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3 years ago

Two triangles are shown. The first triangle has sides x, 6 cm, and 12 cm, and the second triangle has corresponding sides 20 cm,

swat32

Answer:

Given the two triangles are shown:

First triangle has sides x cm , 6 cm and 12 cm.

and

Second triangle has sides 20 cm , 8 cm and 16 cm.

Since, the given two triangles are Similar.

⇒there corresponding sides are in proportion.

i,e

$\frac{x}{20}=\frac{6}{8}=\frac{12}{16}$

(a)

$\frac{x}{20}=\frac{12}{16}$

Solve for x;

By cross multiply we have;

$16x = 240$

Divide both sides by 16 we get;

$x = 15$ cm

(b)

Find x using the ratio sides:

$\frac{6}{8} = \frac{x}{20}$

By cross multiply we have;

$120 = 8x$

Divide both sides by 8 we get;

$15 = x$

$x = 15$ cm

The value of x =15 cm in both a and b is same because the given two triangles are similar,

by definition of similarity, the given triangles have their corresponding sides are in proportion.

5 0

3 years ago