Profits are simply the difference between the selling price and the cost price of an item.
The expression that represents the total profit is 3850x - 22100
The profit (p1) on the first item is given as:
[tex]p_1 = 2000x - 10500[/tex]
The profit (p2) on the second item is given as:
[tex]p_2 = 1850x - 11600[/tex]
So, the total profit (p) on the sales of both items is:
[tex]p = p_1 + p_2[/tex]
Substitute known values
[tex]p = 2000x - 10500 + 1850x - 11600[/tex]
Collect like terms
[tex]p = 2000x + 1850x- 10500 - 11600[/tex]
[tex]p = 3850x-22100[/tex]
Hence, the expression that represents the total profit is 3850x - 22100
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The range of f(x) = |x| is y ≥ 0. If a < 0 and b ≠ 0 for g(x) = a|x| + b, what is the range of function g?
Answer:
blue or maybe green try purple
what is the quotient of 5/12 divided by 3/4
Answer:
5/9
Step-by-step explanation:
dividing (5/12) by (3/4) we get,
(5/12) ÷ (3/4)
(5/12) × (4/3)
(5 /3 * 3)
(5/9) final answer
HELP!!!! I WILL GIVE 100 POINTS!
Answer:
x = 17y = 18Step-by-step explanation:
8x - 17 + 3x + 10 = 180 => 11x - 7 = 180=> 11x = 187=> x = 187/11=> x = 17=> 8(17) - 17 = 6y + 11=> 136 - 17 - 11 = 6y=> 108 = 6y=> y = 18Conclusion:
Therefore:
x = 17y = 18Hoped this helped.
[tex]GeniusUser[/tex]
What is the domain of this function?(9,–2)(6,–10)(–3,9)(5,2)
Answer:
{−9,−5,2,6,10Step-by-step explanation:
8. Which of the following equations represents
a line with a positive slope and a negative
y-intercept?
A. y = 3.5x
B. y = 7.5x – 2
C. y = 3x + 7
D. y = -5x -8
Answer:
d y=-5x-8
Step-by-step explanation:
Answer:
B. y = 7.5x – 2
Step-by-step explanation:
Any equation with a positive coefficient before the x is positive and the second value is the y - intercept.
Help help math math
Answer:
32
Step-by-step explanation:
hope this helps :)
x+2y=0
3x+4y=4
find the solution
Answer:
(x, y) = (4, -2)
Step-by-step explanation:
The coefficient of y in the second equation is double the coefficient of y in the first. We can subtract twice the first equation from the second to eliminate y.
(3x +4) -2(x +2y) = (4) -2(0)
x = 4 . . . . . . . . . simplify
Substituting into the first equation, we have ...
4 +2y = 0
2 +y = 0 . . . . . . divide by 2
y = -2 . . . . . . . . subtract 2
The solution is (x, y) = (4, -2).
Find the equation of the line that has a slope
of -5 and passes through the point (-4, 2)
.Write the equation in point-slope form.
Answer:
y = -5x - 18
Step-by-step explanation:
you have your slope, just set x equal to -4 and your y to 2
2 = -5(-4) + b
2 = 20 + b
-18 = b
Max rode his bike 40 miles in hours.
Answer:
I don't know what you want to know so I assume you want to find out his miles in minutes:
Divide 40 with 60
Which is 2/3
So Max rode 2/3 miles in a minute
Step-by-step explanation:
Answer:
4 hours if going ten mph and 2 hours if going 20 mph
Solve the equation for x if necessary, enter fractions in lowest terms, using a slash (/) as a fraction bar
4x - 1 = 3(x + 1)
x=
Answer:
Step-by-step explanation:
4x - 1 = 3(x + 1)
4x - 1 = 3x + 3 [remove the parentheses by multiplying each term by 3]
4x = 3x + 4 [add 1 to both sides]
1x = 4 [Subtract 3x from both sides]
x = 4
===
Try it:
4x - 1 = 3(x + 1): ??
4*4 - 1 = 3(4 + 1) ??
15 = 3(5)
15 = 15 yes
what is 1/4+3/8+1/2+5/8+3/4+7/8+1+1 1/4
Answer:
5.625 which is 5 5/8.
Step-by-step explanation:
kate has 2.95 in quarter and nickels she has 23 coins how many quarters and nickles does she have
Answer:
9 quarters and 14 nickles
The number of quarters is 9.
The number of nickels is 14.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
Number of quarters = x
Number of nickels = y
Now,
1 quarter = $0.25
1 nickel = $0.05
Two equations are:
x + y = 23 ____(1)
x = 23 - y _____(2)
0.25x + 0.05y = 2.95 _______(3)
Putting (2) in (3) we get,
0.25(23 - y) + 0.05y = 2.95
5.75 - 0.25y + 0.05y = 2.95
5.75 - 2.95 = 0.20y
2.8 = 0.20y
y = 2.8/0.20
y = 14
Now,
x + y = 23
x = 23 - 14
x = 9
Thus,
There are 9 quarters and 14 nickels.
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#SPJ5
You sell tickets for admission to your school play and collect a
total of $156. Admission prices are $8 for adults and $4 for
children, you sold 24 tickets. How many adult tickets and how
many children tickets did you sell?
Answer:
adults 15 and children 9
Step-by-step explanation:
Please help me with this question!
Answer:
a) 45/4
b) 3
c) 12
d) 24
e) no; rate of change varies
Step-by-step explanation:
The average rate of change on interval [a, b] is given by ...
m = (f(b) -f(a))/(b -a)
The function values are read from the table.
__
a) m = (f(4) -f(0))/(4 -0) = (48 -3)/(4 -0) = 45/4
b) m = (f(1) -f(0))/(1 -0) = (6 -3)/(1 -0) = 3
c) m = (f(3) -f(2))/(3 -2) = (24 -12)/(3 -2) = 12
d) m = (f(4) -f(3))/(4 -3) = (48 -24)/(4 -3) = 24
e) Not a linear function. The rate of change is not constant.
Please help me will name brainliest!!!!
Answer:
74/17 = 4.35
Step-by-step explanation:
The first triangle is 74 and the second triangle is 17, so you divide 17 by 74 to get 4.35294 which rounds to 4.35
write the decimal 4.005 as a fraction in the simplest form
Steps to convert decimal into fraction
Write 4.005 as
4.005
-----------
1
Multiply both numerator and denominator by 10 for every number after the decimal point
4.005 × 1000
---------------------
1 × 1000
=
4005
-----------
1000
Reducing the fraction gives
801
--------
200
I think that font up there might not be that understandable, so I got a picture for ya!
Determine whether the quadratic function shown below has a minimum or
maximum, then determine the minimum or maximum value of the function.
f(x) = –2x2 - 4x-8
Answer:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
−
1
,
−
6
)
(
-
1
,
-
6
)
Focus:
(
−
1
,
−
49
8
)
(
-
1
,
-
49
8
)
Axis of Symmetry:
x
=
−
1
x
=
-
1
Directrix:
y
=
−
47
8
y
=
-
47
8
x
y
−
3
−
14
−
2
−
8
−
1
−
6
0
−
8
1
−
14
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
−
1
,
−
6
)
(
-
1
,
-
6
)
Focus:
(
−
1
,
−
49
8
)
(
-
1
,
-
49
8
)
Axis of Symmetry:
x
=
−
1
x
=
-
1
Directrix:
y
=
−
47
8
y
=
-
47
8
x
y
−
3
−
14
−
2
−
8
−
1
−
6
0
−
8
1
−
14
Step-by-step explanation:
Three cups and four plates cost $18. Five cups cost $10.
All the cups cost the same and all the plates cost the same.
What is the ratio of the cost of a cup to the cost of a plate?
Answer:
the cups cost 2$ the plates cost 1.50$
Step-by-step explanation:
Solving quadratic formulas
8y²-30y+27=2
simply the expresstion: 5+8 (3 + x )
Answer:
29+8x
Step-by-step explanation:
5+8(3+x)
Expand 8(3+x)
= 5+24+8x (add the numbers)
= 29+8x
Which translation rule describes the translation that is 2 units to the left and 8 units down?
(x, y) + (x + 2, y - 8)
(x,y) → (x - 2, y - 8)
(x,y) → (x - 2, y + 8)
(x,y) → (x + 2, y + 8)
Answer: (x,y) → (x - 2, y - 8)
Step-by-step explanation:
Two units to the left would mean decreasing value on the x-axis, making it -2.
Eight units down would, again, mean decreasing value on the y-axis, making it -8.
Therefore, (x,y) → (x - 2, y - 8) is the correct translation rule.
I hope this helps :)
I get it, Geometry can be pretty difficult sometimes... I'm in it right now lol
3/4 in simplest form WILL GIVE BRANLYEST!!!
Answer:
3/4 is in it's simplest form
Step-by-step explanation:
3/4 cannot be simplified any more, so it is at it's simplest form
ABCD is a square of side 4cm. In each of the following loci, the point p moves only inside the square. Sketch the locus in each case. AP=BP
The sketch of the locus AP = BP shows an equal distance between AP and BP which can be seen in the image attached below.
A square is a plane figure that has four sides with each side adjacent to each other and they make a right angle of 90° to one another.
A locus is a point that satisfies a constraint on the square of the distances between two lines.
The sketch of the locus AP = BP given an intersection between lines A and B and that intersection is point P.
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Solve the subtraction equation three fifths minus one third equals blank. Use multiplication to create equivalent fractions.
two halves
two fifteenths
four eighths
four fifteenths
Answer:
its four fifteenths
Step-by-step explanation:
3/5 = 9/15
1/3 = 5/15
9/15 - 5/15 = 4/15
4/15 = four fifteenths
In the image shown, line n is a transversal cutting parallel lines 1 and m. Angle 2= 2x+50 Angle 8= x+76. What is the measure of angle 2?
A. 102
B. 104
C.105
(there is no D btw :))
what is the reasoning of 9 +10 is 21?
Answer:
the reasoning is incorrect.
Step-by-step explanation:
9+10=19.
If you are SMART? What is 100 x 100 without using a calculator?
Answer:
i got you it 10,000
Step-by-step explanation:
all you have to do is add the zeros
Guys, Take a look at the screenshot below, do you understand this problem? If you do so, please tell me the answer!
Answer:
there is no screenshot or I just can't see it
A car is traveling at a rate of kilometers per hour. What is the car's rate in kilometers per minute? How many kilometers will the car travel in minutes? Do not round your answers.
Answer:
3.02
Step-by-step explanation:
which table can be represented by the equation y=3x+2
