Answer:
The number of games that need to be sold to the retailer in order for the profit to be about equal is approximately 555 games
Step-by-step explanation:
The given parameters are;
The net profit at which each game is sold to a retailer = $9.90
The net profit at which each game is sold at the factory outlet = $10.99
The number of units sold by the outlet = 500
The amount in profit from selling at the factory outlet = 500 × $10.99 = $5,495.00
The number of games that need to be sold to the retailer in order for the profit to be about equal is given as follows;
Let "x" represent the number of games that need to be sold to the retailer in order for the profit to be about equal
Therefore, we have;
x × $9.90/game = $5,495.00
x = $5,495.00/($9.90/game) = 555.[tex]\overline {05}[/tex] games ≈ 555 games
Therefore, the number of games that need to be sold to the retailer in order for the profit to be about equal = x ≈ 555 games.
The trapezoid ABCD has bases AB = 15 and CD = 5, thigh AD = 9 and diagonal BD = 12. Find:
a) the height h
b) S
c) the perimeter P of the trapezoid
Please someone help me
Answer:
The height of the trapezoid is 6.63 units
The perimeter of the trapezoid is 38 units
Step-by-step explanation:
Whenever a geometry problem is given, it is often useful if it is sketched out. A sketch of this problem can be found in the image attached.
A)
We can see that a right-angled triangle is formed between points BED, with line BE being the height, h.
To get the dimensions of the line EB, we subtract the dimensions of DC from AB. This will give 15 -5 = 10
hence the dimensions of the righ angled triangle are
DE= h
DB = 12 (diagonal)
EB = 10
From Pythagoras' theorem,
[tex]h =\sqrt{12^2 -10^2}=6.63[/tex]
The height of the trapezoid is 6.63
B)
We can get the perimeter of the trapezoid by adding the dimensions of all four sides together.
This will be
AD + DC + CB + AB
However we can assume for this case that it is a symmetrical trapezoid, and hence AD = CB
Thus, perimeter =
2 (AD) + DC +AB
2(9) +5 +15 = 38.
The perimeter of the trapezoid is 38 units
Which graph has the same end behavior as the graph of f(x) =-3x^3-X^2+1
Answer:
x=0.469396
Step-by-step explanation:
x−(−3x3−x2+1)=−3x3−x2+1−(−3x3−x2+1)
3x3+x2+x−1=0
Step 2: Use cubic formula.
x=0.469396
I need help does someone know this?!
2x+3x+1=21
Solve and show work
Answer:
x=4
Step-by-step explanation:
2x+3x+1=21
(2x+3x)+(1)=21
5x+1=21
5x+1=21
Step 2: Subtract 1 from both sides.
5x+1−1=21−1
5x=20
Step 3: Divide both sides by 5.
Answer:
x=4
Step-by-step explanation:
2x+3x+1=21
Simplify both sides of the equation.
2x+3x+1=21
(2x+3x)+(1)=21(Combine Like Terms)
5x+1=21
5x+1=21
Subtract 1 from both sides.
5x+1−1=21−1
5x=20
Divide both sides by 5.
5x /5 = 20 /5
x=4
For one of my math assignments I have to find out which solution is,
One solution
Infinite solution
and No solution
what i've got for it is
y=x+6 and 3x-3y=-18 (Infantaly amount of solutions)
y=-4x+11 and -6+y=11 (One solution)
y=-2x+5 and 2x+y=-7(no solution)
Is this correct?
Answer:
yeah i think they are all right :)
Step-by-step explanation:
pleeeaaaasssse help
The Hendersons have a sedan and a minivan. the difference in mileage of the two vehicles is greater than 4,500 miles. The minivan has 12,755.25 miles. determine the possible number of miles on the sedan. then interpret the solution.
Answer:
Number of miles is either less than 8255.25 or greater than 17255.25.
Step-by-step explanation:
Given that :
Difference in mileage of the sedan and minivan is > 4500
Mikeage of minivan = 12755.25
Possible number of miles on the sedan :
Mileage on minvan ± difference in mileage ;
12755.25 ± 4500
12755.25 + 4500 = 17255.25
12755.25 - 4500 = 8255.25
This means that the possible number of miles on the sedan is either greater than 17255.25 OR less Than 8255.25
78=6 f please help solve ion have much time
Answer:
hii
Step-by-step explanation:
Which table shows a constant rate of change 3.25
Answer:
the third one
Step-by-step explanation:
There were 45 runners sister erased in the first half of the race 2/3 of them dropped out in the second half of the race to fifth of the remaining runners chopped out how many runners finish the race
Answer:
9 runners
Step-by-step explanation:
Number of runners who started race = 45
Fraction that dropped off in the first half =. 2/3
Fraction of the remaining that dropped of in the second half = 2/5
Number of runners who dropped off in the first half :
(2/3) * 45 = (2 * 45) / 3 = 90 /3 = 30 runners
Runners left = (45 - 30) = 15
Number who dropped off in the second half :
(2/5) * 15 = (2 * 15) / 5 = 30 /5 = 6 runners
Number of runners who finished the race :
(15 - 6) = 9 runners
Simplify the expression below.
5/8m + 9 - 3/8m - 15
Complete the following statement.
p(x)=x^(2)+7x+3
If is divided by x+4, the remainder is
Answer:
x + 3 with the remainder of -9
Step-by-step explanation:
___x__+__3_____
x + 4 | X^2 + 7x + 3
- (x^2 + 4x)
3x + 3
-(3x + 12)
-9
So the answer is x + 3 with the remainder of -9
For Items 16-28, determine whether each function is
even, odd, or neither.
f(x) = -x + 2x + 5
f(x) = x + 8x
f(x) = -7x² + 5
f(x) = 5x + 3x? – 7x + 1
Answer:
f(x) = -x + 2x + 5
is odd since f(x) = -5
f(x) = x + 8x
is neither because f(x) = 0
f(x) = -7x² + 5
is odd since f(x) = √5/7
f(x) = 5x + 3x? – 7x + 1
is odd
What is the range of this graph?
Answer:
[-2, infinite)
Step-by-step explanation:
range of the graph will be [-2, positive infinite)
8/10 lies _____ on number line.
8/10 = 0.8
Therefore, 0.8 (8/10) is put on the number line shown below.
Figure #2
2. What is x?
А 58
C 122
990
B
48
D
218
42
Which expression is equivalent to 12(4m−2n+4)?
1.2m−n+2
2.2m−2n+4
3.8m−4n+4
4.8m−4n+8
Answer:
1. 2m - n + 2
Step-by-step explanation:
12×4m - 12×2n + 12×4. ( because 12 is multipled by whole bracket)
48m - 24n + 48.
2m - n + 2. (by finding common factor 24)
what is 89999999+ 3099999999999=??????
3.100089999. This is is the answer
Answer:
3,100,089,999,998
Step-by-step explanation:
Hope this helped
Which two properties characterize an air mass?
Answer:
Step-by-step explanation: Air masses are given a two-part name that describes the humidity and temperature characteristics of the region where they form
Answer:
Air masses have fairly uniform temperature and moisture content in horizontal direction (but not uniform in vertical).
Step-by-step explanation:
Looked it up
“I think of a number, multiply it by 3, add 4 and square the result
Answer:
I choose 1 and multiplied by 3 and then by 4 so that is 7. 7squared is 49
Answer:
(3x+4)(3x-4)
Step-by-step explanation:
3 * x= 3x
3x + 4
(3x+4)(3x-4)
Enter the slope of each line in the system in simplest form.
5x+y=15
-10x +2y=-30
Help? Show work!
Triangle PQR ≅ Triangle XYZ
PQ = 3a + 4 and XY = 5a – 12. Find a and PQ.
Given:
[tex]\Delta PQR\cong \Delta XYZ[/tex]
[tex]PQ=3a+4[/tex]
[tex]XY=5a-12[/tex]
To find:
The value of a and PQ.
Solution:
We have,
[tex]\Delta PQR\cong \Delta XYZ[/tex]
[tex]PQ\cong XY[/tex] (CPCTC)
So,
[tex]PQ=XY[/tex]
[tex]3a+4=5a-12[/tex]
Isolating variable terms, we get
[tex]3a-5a=-4-12[/tex]
[tex]-2a=-16[/tex]
Divide both sides by -2.
[tex]a=\dfrac{-16}{-2}[/tex]
[tex]a=8[/tex]
Now,
[tex]PQ=3a+4[/tex]
[tex]PQ=3(8)+4[/tex]
[tex]PQ=24+4[/tex]
[tex]PQ=28[/tex]
Therefore, the value of a is 8 and the value of PQ is 28.
Quick Pleaseee helpp
When is substitution method easier to use than graphing method!!!!
Answer:
When you do not have a graph paper
or
one of the equations has an isolated variable
or
when the equations are not in slope intercept form
What is y=-2/9x+3 written in standard form using integers?
Answer:
2x-9y=-27
Step-by-step explanation:
hope this helps. :)
find the slope of the line
Answer:
slope: -2
Step-by-step explanation:
what is the solution 1/2 5x-15 =10
Answer:
x = 10
Step-by-step explanation:
2(1/2(5x) - 15 = 10)
5x - 30 = 20
5x = 50
divide by 5
x = 10
Please help me It’ll help a lot
Answer:
heyy
the answers "20"
Step-by-step explanation:
Okay using the x that we have we find 40 and plug that into the graph and we have 20 :p
please help quick time
Answer:
[tex]Area = 34.2cm^2[/tex]
Step-by-step explanation:
Let the three sides be a, b and c respectively.
Such that:
[tex]a = 8[/tex]
[tex]b = 9[/tex]
[tex]c= 10[/tex]
Required
Determine the area
This is calculated as:
[tex]Area = \sqrt{s(s-a)(s-b)(s-c)[/tex]
Where
[tex]s = \frac{1}{2}(a + b + c)[/tex]
Substitute values for a, b and c
[tex]s = \frac{1}{2}(8 + 9 + 10)[/tex]
[tex]s = \frac{1}{2}(27)[/tex]
[tex]s = 13.5[/tex]
Substitute values for a, b, c and s in
[tex]Area = \sqrt{s(s-a)(s-b)(s-c)[/tex]
[tex]Area = \sqrt{13.5 * (13.5 - 8)* (13.5 - 9)* (13.5 - 10)[/tex]
[tex]Area = \sqrt{13.5 * 5.5* 4.5* 3.5[/tex]
[tex]Area = \sqrt{1169.4375[/tex]
[tex]Area = 34.2[/tex] -- Approximated
Solve.
3.5 x (5.8 - 7.09) =
Answer:
-4.515
Step-by-step explanation:
3.5 times 5.8 is 20.3 and then 3.5 times -7.09 is -24.815 added together to get -4.815 so technically its none of those but they might have miss typed so i think probably -4.515
The vertices of a triangle are (3,5), (-7,4) and (10,-2) then, what are the coordinates of the point of intersection of 3 medians of triangle?
Answer:
Step-by-step explanation:
Step 1: Identify the coordinates of each vertex. Step 2: Add all the x values from the three vertices coordinates and divide by 3. Step 3: Add all the y values from the three vertices coordinates and divide by 3. Step 4: Determine the centroid coordinate.
please help me out in optional maths