The tank for a car holds 20 gallons of gas. The gasoline gauge shows the tank is 1/8 full. How much gas is still in the tank?

Answers

Answer 1

Answer:

Answer:

3/4 of a tank =3/4(13) gal

=39/4 almost 10 gal

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How do I write 4.18 as a mixed number

Answers

Answer:

4 18/100

Step-by-step explanation

Jessie owns a hot dog stand and sells specialized hot dogs. He charges $1.50 for a plain hot dog and then an additional $0.50 for each topping that you want. This can be modeled by the equation C = .5x + 1.5, where C is the total cost of the hot dog and x is the number of toppings you ordered. The company that he buys his hot dogs from was having a sale so he was able to buy the hot dogs for less. He will now sell them for $0.25 less than before. What should be changed in the equation C = .5x + 1.5 to represent this?

Answers

1.5 would change to 1.25

(1.5- .25= 1.25)

Answer:

1.25

Step-by-step explanation:

Prove the trigonometric identity
(tan x + cot x)/(csc x * cos x) = sec^2 x

Answers

Answer:

$(\tan x + \cot x)/(\csc x \cos x)=\sec^2 x$

$\boxed{((\sin x)/(\cos x) + (\cos x)/(\sin x))/((1)/(\sin x) \cdot \cos x)}=\sec^2 x$

$\boxed{((\sin^2 x)/(\sin x\cos x) + (\cos^2 x)/(\sin x \cos x))/((\cos x)/(\sin x))}=\sec^2 x$

$\boxed{((\sin^2 x+\cos^2 x)/(\sin x\cos x))/((\cos x)/(\sin x))}=\sec^2 x$

$\boxed{((1)/(\sin x\cos x))/((\cos x)/(\sin x))}=\sec^2 x$

$\boxed{(1)/(\sin x\cos x) \cdot (\sin x)/(\cos x)}=\sec^2 x$

$(1)/(\cos^2x)=\sec^2x$

$\sec^2x=\sec^2x$

Step-by-step explanation:

Given trigonometric identity:

$(\tan x + \cot x)/(\csc x \cos x)=\sec^2 x$

$\textsf{Use the identities\;\;$\tan x = (\sin x)/(\cos x)$\;,\;$\cot x=(\cos x)/(\sin x)$\;\;and\;\;$\csc x=(1)/(\sin x)$}:$

$\boxed{((\sin x)/(\cos x) + (\cos x)/(\sin x))/((1)/(\sin x) \cdot \cos x)}=\sec^2 x$

Simplify the denominator and make the fractions in the numerator like fractions:

$\boxed{((\sin^2 x)/(\sin x\cos x) + (\cos^2 x)/(\sin x \cos x))/((\cos x)/(\sin x))}=\sec^2 x$

$\textsf{Apply\;the\;fraction\;rule\;\;$(a)/(b)+(c)/(b)=(a+c)/(b)$\;to\;the\;numerator}:$

$\boxed{((\sin^2 x+\cos^2 x)/(\sin x\cos x))/((\cos x)/(\sin x))}=\sec^2 x$

$\textsf{Use\;the\;identity\;\;$\sin^2x+\cos^2x=1$}:$

$\boxed{((1)/(\sin x\cos x))/((\cos x)/(\sin x))}=\sec^2 x$

$\textsf{Apply\;the\;fraction\;rule\;\;$(a)/((b)/(c))=a \cdot (c)/(b)$}:$

$\boxed{(1)/(\sin x\cos x) \cdot (\sin x)/(\cos x)}=\sec^2 x$

Cancel the common factor sin x, and apply the exponent rule aa = a² to the denominator:

$(1)/(\cos^2x)=\sec^2x$

$\textsf{Use the identity\;\;$(1)/(\cos x)=\sec x$}:$

$\sec^2x=\sec^2x$

Answer:

The proof of the trigonometric identity:

We can start by expanding the numerator and denominator. In the numerator, we can use the trigonometric identities tan x = sin x / cos x and cot x = cos x / sin x.

In the denominator, we can use the trigonometric identity csc x = 1 / sin x. This gives us:

$((tan x + cot x))/((csc x * cos x) ) = (((sin x )/( cos x)) + ((cos x )/(sin x)))/(((1)/( sin x)) * cos x)$

`We can then cancel the sin x terms in the numerator and denominator. This gives us:

$((tan x + cot x))/((csc x * cos x) ) = (1 + 1)/(((1 )/(sin x)) * cos x)$

We can then multiply the numerator and denominator by sin x. This gives us:

$((tan x + cot x))/((csc x * cos x) ) = (sin x + sin x)/((1 )/(cos x))$

We can then simplify the expression. This gives us:

$((tan x + cot x))/((csc x * cos x) ) = (2sin x)/((1 )/(cos x)) = (2sin x)/(cos x) = 2tan x$

Finally, we can use the trigonometric identity tan^2 x = sec^2 x - 1 to get:

$2tan x =( 2tan^2 x )/( (sec^2 x - 1))$

This gives us the following identity:

$((tan x + cot x))/((csc x * cos x) ) = sec^2 x$

This completes the proof of the trigonometric identity.

Find the value of X.

Answers

Answer:

x = 6

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

32+4 is 36

90-36 is 54

9 times 6 is 54

54+4 is 58

58+32 is 90

pls mark me brainliest :)

Which expression is equivalent to 6x+8 PLZZZZZZZZZZZZ HEWLPPP!2(3x-4)
2(3x+4)
2(4x+6)
2(3x+8)

Answers

✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽

➷ Expand them all to see if you get the expression:

2(3x - 4) ==> 6x - 8

2(3x + 4) ==> 6x + 8

2(4x + 6) ==> 8x + 12

2(3x + 8) ==> 6x + 16

As you can see, the correct option is B. 2(3x + 4)

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ♡

Answer:

So the second one

Step-by-step explanation:

2(3x-4) =6x-8

2(3x+4)=6x+8 2x3=6 2x4=8

2(4x+6)=8x+12

2(3x+8)=6x+16

A : undefined
B: Zero
C: Positive
D:Negative

Answers

Answer:

Undefined

Step-by-step explanation:

There really is no explanation. All vertical lines have an undefined slope.

undefined! I hope this helps and good luck!

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