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Nesterboy [21]
2 years ago
12

22 gallons of gas cost $65.56 what is the unit rate for one gallon of gas

Mathematics
2 answers:
Kitty [74]2 years ago
7 0
Hey there!

If we would want to find out what it would be, we would have to divide it.

Your correct answer would be (2.98)

I did 65.56/22.

Hope this helps you!
Maurinko [17]2 years ago
6 0
Hey there! :D

When you find the unit rate, you have the input factor, (or the unit you want to find) equal to 1. 

22/22= 1

Divide the price of the gas <em>$65.56 by 22.

</em>65.56/22= 2.98
<em>
Each gallon of gas is <u>$2.98.

</u>
<u /></em>I hope this helps!
<em><u>~kaikers</u></em>
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Let A, B, C and D be sets. Prove that A \ B and C \ D are disjoint if and only if A ∩ C ⊆ B ∪ D
ANEK [815]

Step-by-step explanation:

We have to prove both implications of the affirmation.

1) Let's assume that A \ B and C \ D are disjoint, we have to prove that A ∩ C ⊆ B ∪ D.

We'll prove it by reducing to absurd.

Let's suppose that A ∩ C ⊄ B ∪ D. That means that there is an element x that belongs to A ∩ C but not to B ∪ D.

As x belongs to A ∩ C, x ∈ A and x ∈ C.

As x doesn't belong to B ∪ D, x ∉ B and x ∉ D.

With this, we can say that x ∈ A \ B and x ∈ C \ D.

Therefore, x ∈ (A \ B) ∩ (C \ D), absurd!

It's absurd because we were assuming that A \ B and C \ D were disjoint, therefore their intersection must be empty.

The absurd came from assuming that A ∩ C ⊄ B ∪ D.

That proves that A ∩ C ⊆ B ∪ D.

2) Let's assume that A ∩ C ⊆ B ∪ D, we have to prove that A \ B and C \ D are disjoint (i.e.  A \ B ∩ C \ D is empty)

We'll prove it again by reducing to absurd.

Let's suppose that  A \ B ∩ C \ D is not empty. That means there is an element x that belongs to  A \ B ∩ C \ D. Therefore, x ∈ A \ B and x ∈ C \ D.

As x ∈ A \ B, x belongs to A but x doesn't belong to B.  

As x ∈ C \ D, x belongs to C but x doesn't belong to D.

With this, we can say that x ∈ A ∩ C and x ∉ B ∪ D.

So, there is an element that belongs to A ∩ C but not to B∪D, absurd!

It's absurd because we were assuming that A ∩ C ⊆ B ∪ D, therefore every element of A ∩ C must belong to B ∪ D.

The absurd came from assuming that A \ B ∩ C \ D is not empty.

That proves that A \ B ∩ C \ D is empty, i.e. A \ B and C \ D are disjoint.

7 0
3 years ago
The ratio of black bags to blue bags is 5 to 3. If there are a total of 40 bags,
Simora [160]

Answer:

24

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
3. What is the relative frequency of a
kodGreya [7K]
I think the answer is C that what i think ;;:;/)
8 0
3 years ago
The question is in the picture. Plz helppp it is due tonight
Mkey [24]

Answer:

Step-by-step explanation:

We're given one equation, we have to find the other equation and solve each for 200, and whichever has the lower x is the winner

for Jayden we are given

(0, 48), (1, 56), (2, 64), (3, 72), (4, 80)

This looks to be a line. The y values are each separated by a common difference

We can use two points to describe the line

m = \frac{y_2-y_1}{x_2-x_1} = \frac{80-48}{4-0} = \frac{32}{4} = 8\\  K = 8m + b\\48 = 8(0) + b\\b = 48\\so\\K = 8m + 48

Now we can set both K = 8m + 48 and K = m^2 + 10 equal to 200

200 = 8m + 48\\152 = 8m \\m = \frac{152}{8} = 19

200 = m^2 + 10\\m^2 = 190\\m = \sqrt{190} = 13.784

Keiko's blog will reach 200 subscribers fastest.

7 0
3 years ago
You might need:
mash [69]

Answer:

lesser x: - 6

greater x: 2

Step-by-step explanation:

f(x) = (x + 2)² – 16

(x + 2)² – 16 = 0

(x + 2 + 4) (x + 2 - 4) = 0

(x + 6)(x - 2) = 0

roots (zero): x = -6 or x = 2

8 0
3 years ago
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