The cost of one shirt is 12.50 and cost of one pair of jeans is 24.75
Step-by-step explanation:
Let,
Cost of one shirt = x
Cost of pair of jeans = y
According to given statement;
4x+3y=124.25 Eqn 1
3x+5y=161.25 Eqn 2
Multiplying Eqn 1 by 3
Multiplying Eqn 2 by 4
Subtracting Eqn 3 from Eqn 4
Dividing both sides by 11
Putting 24.75 in Eqn 1
Dividing both sides by 4
The cost of one shirt is 12.50 and cost of one pair of jeans is 24.75
Keywords: linear equation, elimination method
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We are given all the angle measures, therefore we can equate all the expressions to 180 degrees. We can do this by using the Triangle Angle Sum Theorem, which states that all triangles' interior angles add up to 180 degrees. After we do that, we get:
x + 3x + 25 + x - 5 = 180
Now, just solve for x:
x + 3x + 25 + x - 5 = 180
5x + 20 = 180
5x = 160
x = 32
We've found the value of x, but the question asks us the measure of angle G. We can find the angle measure by substituting 32 into the expression for angle G. Doing so and simplifying gives us 121 degrees. Therefore, the measure of angle G is 121 degrees. Hope my answer has come of aid to you and have a great day!
Answer:
- 6
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
Here [ a, b ] = [ 2, 6 ] , then
f(b) = f(6) = - 6² + 2(6) + 2 = - 36 + 12 + 2 = - 22
f(a) = f(2) = - 2² + 2(2) + 2 = - 4 + 4 + 2 = 2 , then
average rate of change = 
= 
= - 6
:
: 
: 
: 
: 
hence, last option is right
Answer:
The integers are 2,3,4
Step-by-step explanation:
Let one integer be = 
Since, the integers are consecutive, so they will increase by one.
So, 2nd integer will be =
3rd integer will be =
It is given that the 3 integers add up to 9.
So, we have the sum equation as:
Solving for
Combining like terms.
Subtracting both sides by 3.
Dividing both sides by 3.
∴ 1st integer = 
2nd integer = 
3rd integer = 
