Answer:
Step-by-step explanation:
The sum of the angle measures of a triangle is 180°. Find the value of x . Then find the angle measures of the triangle.
find the value of x
x + 2x + x + 8 = 180
4x = 180 - 8
4x = 172
x = 172 : 4
x = 43
find angles
2x = 43 * 2
2x = 86°
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x = 43°
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x + 8 = 43 + 8
x = 51°
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check
86 + 43 + 51 = 180°
the answer is good
1. Writing p as a function of c gives
P =2c-250
Where C is the number of candy bar
P is the number of candy bar sold.
2. This is expressed as
0 =< C <= 250
3. This is expressed as
0 =< C =< 250
4. Amount made from selling candy bar in the set of interger between 0 to 500
C is given as 500
From the equation P=2C-250
P=2×500-250
P=1000-250 =750.
P=750
5. Amount made selling candy bar for the set of real numbers between 0 and 250
C is equal to 250
From the equation, we have
P=2×250-250
P=500-250 =250.
So, We Need To Examine The Problem. So, We Know That We Need To Find The Volume Of A Rectangular Prism. We Also Know That The Dimensions Are 4.9 • 3.8 • 5.4.
So, We Need To Remember The Formula For Volume Of A Rectangular Prism.
V = B • W • H
So, we need to plug in the known values.
V = 4.9 • 3.8<span> • 5.4.
So, Lets Solve.
4.9 • 3.8 = 18.62
18.62 * 5.4 = 100.548 cm²
Now We Have:
V = 100.548cm²
It Rounds To 100.5cm²</span>
9514 1404 393
Answer:
$2.50
Step-by-step explanation:
The question asks for the total cost of a notebook and pen together. We don't need to find their individual costs in order to answer the question.
Sometimes we get bored solving systems of equations in the usual ways. For this question, let's try this.
The first equation has one more notebook than pens. The second equation has 4 more notebooks than pens. If we subtract 4 times the first equation from the second, we should have equal numbers of notebooks and pens.
(8n +4p) -4(3n +2p) = (16.00) -4(6.50)
-4n -4p = -10.00 . . . . . . . . . . . simplify
n + p = -10.00/-4 = 2.50 . . . . divide by the coefficient of (n+p)
The total cost for one notebook and one pen is $2.50.
__
<em>Additional comment</em>
The first equation has 1 more notebook than 2 (n+p) combinations, telling us that a notebook costs $6.50 -2(2.50) = $1.50. Then the pen is $2.50 -1.50 = $1.00.
One could solve for the costs of a notebook (n) and a pen (p) individually, then add them together to answer the question. We judge that to be more work.
Answer: there is only one solution
Step-by-step explanation:
Combine like terms by performing the opposite operation of subtracting 4x on both sides of the equation
The 4x's will cross out on the right
4x - 4x = 0x = 0
On the left:
2x - 4x = -2x
Now the equation looks like:
-2x + 3 = 2
Continue to combine like terms by subtracting 3 on both sides of the equation
On the left:
3 - 3 = 0
On the right:
2 - 3 = -1
Equation:
-2x = -1
Isolate x by performing the opposite operation of dividing -2 on both sides of the equation
On the left:
-2x ÷ -2 = 1
On the right:
-1 ÷ -2 = 1/2
x= 1/2
