Step-by-step explanation:
( x-2y=12)5
5x-10y=60
- 5x+3y=-44
____________
13y=-104
y=-104/13
The answer of your question is 20 gallons of gasoline. It just a simple division you just have to divide $25 which is the given money to buy an exact amount of gallon by $1.25 which is the price of each gallon. So you would come up to an answer of 20 gallons.
Answer:
d. −7/32
Step-by-step explanation:
The expression that we have to evaluate in this problem is:

We have to evaluate this expression for:
x = -2
y = 4
We start by rewriting the expression by rewriting it using the following:

So the expression can be rewritten as

Now we observe that:

Therefore, by substituting x = -2 and y = 4 into the expression, we find:

∠B = 77°, a = 7.42 and b = 12.61
Solution:
Given triangle ABC.
∠A = 35°, ∠C = 68°, c = 12
To find the measure of ∠B:
Sum of all the angles of the triangle = 180°
⇒ ∠A + ∠B + ∠C = 180°
⇒ 35° + ∠B + 68° = 180°
⇒ 103° + ∠B = 180°
⇒ ∠B = 180° – 103°
⇒ ∠B = 77°
To find the length of a and b:
The side opposite to angle A is a.
The side opposite to angle B is b.
Using law of sine,



Do cross multiplication, we get

Divide by 0.9271 on both sides, we get
⇒ a = 7.42
Again by law of sine,



Do cross multiplication, we get

Divide by 0.9271 on both sides, we get
⇒ b = 12.61
Hence ∠B = 77°, a = 7.42 and b = 12.61.
Answer:
d = 17
Step-by-step explanation:
The given arithmetic sequence is :
31, 48, 65, 82, ...
We need to find the common difference for this sequence.
First term, a₁ = 31
Second term, a₂ = 48
Common difference = a₂-a₁
= 48-31
= 17
So, the common difference for this arithmetic sequence is equal to 17.