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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 long board 4.7 thick is cut into three pieces of equal length these three pieces are then stacked the stack is cut in three eq
nalin [4]

The number of pieces per stack after 3 cuts represented by a power expression can be written as 3^{3}

  • The number of equal pieces per cut = 3

  • The number of cuts made = 3

<u>Using a power </u><u>expression</u><u> </u><u>:</u>

  • The number of of equal pieces per cut is raised to a power which represents the number of cuts made

  • Thus we have number\: of \:equal\: pieces^{number\: of \:cuts}

  • After 1 cut ; 3^{1} = 3
  • After 2 cuts ; 3^{2} = 3\times3 = 9
  • After 3 cuts ; 3^{3} = 3\times3\times3 = 27

Therefore, the Number of pieces present in stack after 3 cuts is 3^{3}

Learn more :brainly.com/question/18796573

5 0
3 years ago
A small bag of flavor weighed 13 ounces. A large bag was 5 percent heavier.How much does the large bag weigh?
Novay_Z [31]
13+5=18
The large bag would be 18 because you have to add 5 more ounces than 13
5 0
3 years ago
20x^3+8x^2-30x-12 Rewrite the expression as the product of two binomials.
weqwewe [10]

Answer:

see below

Step-by-step explanation:

20x^3+8x^2-30x-12

Factor out the greatest common factor 2

2 (10x^3+4x^2-15x-6)

Then factor by grouping

2 ( 10x^3+4x^2      -15x-6)

Factor out 2 x^2 from the first group and -3 from the second group

2  ( 2x^2( 5x+2)  -3( 5x+2))

Factor out ( 5x+2)

2 ( 5x+2) (2x^2-3)

The 2 can go in either term to get binomials

( 10x +4) (2x^2-3)

or ( 5x+2) ( 4x^2 -6)

3 0
3 years ago
Read 2 more answers
Find the nth terms of the following Ap 100, 91, 82​
Rom4ik [11]

Answer:

The nth term is 109-9n

Step-by-step explanation:

Here, we want to find the nth term of the given arithmetic sequence

Mathematically, we have the nth term as;

Tn = a + (n-1)d

where a is the first term which is 100 in this case

d is the common difference which is the value obtained by subtracting the preceding term from the succeeding term; it is constant throughout the sequence

The value here is thus;

82-91 = 91-100 = -9

Substituting these values

Tn = 100 + (n-1)-9

Tn = 100 -9n + 9

Tn = 100 + 9 - 9n

Tn = 109-9n

6 0
3 years ago
Solve 3x2−3x=0 by factoring.
o-na [289]

Answer:

3x(x-1) = 0

x= 1

Step-by-step explanation:

is 3x2 supposed to mean 3x^2 i dont know

5 0
3 years ago
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