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deff fn [24]
3 years ago
15

How many quarts in a gallon

Mathematics
2 answers:
sukhopar [10]3 years ago
7 0
4 quarts are in a single gallon
sertanlavr [38]3 years ago
4 0
4 quarts are in a gallon
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Which statements about this system of equations are true? Check all that apply. - x + 6y = 16 8x - 6y = -2 The x-variable will b
frutty [35]

Answer:

The true statements are:

The y-variable will be eliminated when adding the system of equations

There is only one solution to the system of equations is

Step-by-step explanation:

* Lets explain how to solve the problem

- We use the elimination method to solve the system of the

  linear equation

- The solution is one of three cases

# Exactly one solution ⇒ the 2 lines which represented the equations

  intersect each other at one point

# No solution ⇒ the 2 lines which represented the equations are

  parallel to each other

# Infinite solutions ⇒ the two lines are coincide

- In the system of the linear equations of the problem we have two

 linear equations  -x + 6y = 16 and 8x - 6y = -2

- To solve we must to eliminate one of the two variables

∵ The y's in the two equations have the same coefficients and

   different signs

∴ We add the equations to eliminate y

∴ (-x + 8x) + (6y - 6y) = 16 + -2

∴ 7x = 14 ⇒ divide both sides by 7

∴ x = 2

- Substitute the x in any one of the two equations by 2

∴ -2 + 6y = 16 ⇒ add 2 to both sides

∴ 6y = 18 ⇒ divide both sides by 6

∴ y = 3

∴ The solution of the system of the equations is (2 , 3) ⇒ only one

   solution

- Lets check the statements to find the true statements

# The x-variable will be eliminated when adding the system of

   equations is not true

# The y-variable will be eliminated when adding the system of

   equations is true

# The sum of the system of equations is - x + 6y is not true

# There is only one solution to the system of equations is true

6 0
3 years ago
Read 2 more answers
Find two solutions to the equation (x^3-64)(x-1)=0.?
dedylja [7]
 3 is a negative so it 3,604
4 0
3 years ago
A fee charged of $2.50 is it positive or negative
ASHA 777 [7]
Positive because you will said that has the charged is about $2.50
3 0
3 years ago
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Calculate the density of a piece of<br> wood with a mass of 80g and a<br> volume of 90cm³
likoan [24]

Answer:

0.89 g/cm³

Step-by-step explanation:

used the formula d=M/V

M is mass which is = 80g

V is volume which is = 90cm³

d = 80/90

d = 0.89 g/cm³

4 0
2 years ago
Simply the expression 2(3r+5)
Serjik [45]

Answer:

6r+10

Step-by-step explanation:

2 x 3r+2 x 5 = 6r +10

4 0
3 years ago
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