The quotient of expression is 
.
Given that,
Expression; 
We have to determine,
The quotient of expression?
According to the question,
To determine the quotient of expression following all the steps given below.
Simplify the expression,
Hence, The required quotient of expression is .
For more details refer to the link given below.
brainly.com/question/12895249
Answer:
48 degrees
Step-by-step explanation:
A triangle has three angles that add up to 180 degrees. In a right triangle, one of the angles in 90 degress, and the other 2 add up to 90. In this case, we have 2 given angles, 90 degree angle and 42 degree angle. If we do 90+42 it gives us 132. We then subtract that from 180 to give us 48 degrees.
The place value in the thousands for the 0 in 10,000 is three (3).
<h3>What is a place value?</h3>
A place value refers to a numerical value which denotes a digit based on its position in a given number and it includes:
In this scenario, the place value in the thousands for the 0 in 10,000 is three (3).
Read more on place value here: brainly.com/question/2003695
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Answer:
a. y = -x + 9
Step-by-step explanation:
slope-intercept form is
y = mx + b
so of the options, only option a follows slope-intercept form.
hope this helps!
Trumpet = $174 Clarinet = $149 Violin = $89 Let's write some equations to express what we know. 2t + 3c + 5v = 1240 3t + 1c + 4v = 1027 5t + 7c + 2v = 2091 So we have 3 unknowns and 3 equations. The 2t and 3t are rather interesting in the 1st 2 equations since the 3rd equation has 5t. So if we subtract the 1st and 2nd equations, we can cancel out the t values. So 5t + 7c + 2v = 2091 -( 3t + 1c + 4v = 1027) = 2t + 6c - 2v = 1064 -(2t + 3c + 5v = 1240) = 3c - 7v = -176 Now we can express c in terms of v. 3c - 7v = -176 3c = 7v - 176 c = (7/3)v - 58 2/3 Substitute the expression (7/3)v - 58 2/3 for c in the expression 2t + 3c + 5v = 1240 giving 2t + 3((7/3)v - 58 2/3) + 5v = 1240 and solve for t, first distribute the 3 2t + 7v - 176 + 5v = 1240 Merge the v terms 2t + 12v - 176 = 1240 Add 176 to both sides 2t + 12v = 1240 + 176 = 1416 Subtract 12 v from both sides 2t = 1416 - 12v Divide both sides by 2 t = 708 - 6v Now substitute both 708 - 6v for t and (7/3)v - 58 2/3 for c in 3t + 1c + 4v = 1027 and solve for v 3t + 1c + 4v = 1027 3(708 - 6v) + (7/3)v - 58 2/3 + 4v = 1027 Distribute the 3 3(708 - 6v) + (7/3)v - 58 2/3 + 4v = 1027 2124 - 18v + (7/3)v - 58 2/3 + 4v = 1027 Combine terms 2065 1/3 - (11 2/3)v = 1027 Subtract 2065 1/3 from both sides -(11 2/3)v = 1027 - 2065 1/3 = -1038 1/3 Divide both sides by -11 2/3 v = 89 So we know the violins cost $89 each. Plugging that value into the formula t = 708 - 6v which we created earlier t = 708 - 6v t = 708 - 6 * 89 = 708 - 534 = 174 So we know that a trumpet costs $174 Now plug the price of a violin into the formula c = (7/3)v - 58 2/3 to get the cost of a clarinet. c = (7/3)v - 58 2/3 c = (7/3)89 - 58 2/3 = 207 2/3 - 58 2/3 = 149 And a clarinet is $149 Let's verify 2t + 3c + 5v = 2*174 + 3*149 + 5*89 = 348 + 447 + 445 = 1240 3t + 1c + 4v = 3*174 + 1*149 + 4*89 = 522 + 149 + 356 = 1027 5t + 7c + 2v = 5*174 + 7*149 + 2*89 = 870 + 1043 + 178 = 2091 All the expressions match what was given, so the prices are Trumpet = $174 Clarinet = $149 Violin = $89
