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blagie [28]
3 years ago
6

The gas tank on Juanita's car holds 20 gallons of gas.The fuel gauge of the car shows that the gas tank is 3/4 full.How many gal

lons of gas are in the gas tank?
Mathematics
1 answer:
erastova [34]3 years ago
7 0

Answer:

15 gallons

Step-by-step explanation:

So the easiest way to solve this one is basic reasoning. It's easy to find 3/4 of a number if you know what 1/4 is.

20/4 = 5, or 1/4 of 20 = 5

3/4 is 3 times as much as 1/4, so 5(3)=15

Or, you can solve using a proportion

3       x

_  =   _

4      20

(those are fractions)

Cross multipy

3 (20) = 4x

60 = 4x

Divide both sides by 4 to isolate the variable

15 = x

The final way to solve this is by converting the decimal to a fraction. 3/4 = 0.75

20 x 0.75 = 15

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A sound wave is traveling at 6,420m/s and has a frequency of 600Hz. What is the wavelength?
GaryK [48]

Answer:

10.7 m

Step-by-step explanation:

Given that,

The speed of a sound wave, v = 6,420 m/s

The frequency of the wave, f = 600 Hz

We need to find the wavelength of the wave. We can find it using the below relation as follows :

v=f\lambda\\\\\lambda=\dfrac{v}{f}\\\\\lambda=\dfrac{6420}{600}\\\\\lambda=10.7\ m

So, the wavelength of the sound wave is equal to 10.7 m.

4 0
3 years ago
What is the equation of the line passing through the points (Two-fifths, StartFraction 19 Over 20 EndFraction) and (one-third, S
Neporo4naja [7]

Answer:

  y = one-half x + three-fourths

Step-by-step explanation:

The 2-point form of the equation of a line can be used for starters.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (11/12 -19/20)/(1/3 -2/5)(x -2/5) +19/20 . . . . fill in given values

  y = ((55 -57)/60)/((5 -6)/15)(x -8/20) +19/20 . . simplify a little

  y = (-1/30)/(-2/30)(x -8/20) +19/20 . . . . . . . . . . and a little more ...

  y = 1/2x -4/20 +19/20

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8 0
3 years ago
Read 2 more answers
Which is higher 214.7 or 214.275
Lostsunrise [7]

easy 214.7 because if it was rounded it would be 214.700 an this is way bigger than 214.275

8 0
3 years ago
Jamie has 2 pounds of butter, she used 3/8 pounds of butter, how much butter is left?
irga5000 [103]
Basically 3/8 "times" 2 

The equations

8/2 = 4

So it will be 3/4

Correct me if I'm wrong!
6 0
3 years ago
Can someone explain to me how to answer questions like this? I always get confused!
seropon [69]

Answer:

(b) 5k+1

Step-by-step explanation:

https://www.symbolab.com/solver/step-by-step/simplify%20%5Cfrac%7B30k%5E%7B2%7D%2B6k%7D%7B5k%2Bk%7D

5 0
3 years ago
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