Answer:
[tex]P =5x-260[/tex]
Step-by-step explanation:
Given
[tex]R = 3x^2 + 4x - 60[/tex] --- Revenue
[tex]C = 3x^2 - x + 200[/tex] --- Cost
Required
The expression for profit (P)
This is calculated as:
[tex]P =R - C[/tex]
So, we have:
[tex]P =3x^2 + 4x - 60 - (3x^2 -x+200)[/tex]
Open bracket
[tex]P =3x^2 + 4x - 60 - 3x^2 +x-200[/tex]
Collect like terms
[tex]P =3x^2 - 3x^2+ 4x +x- 60-200[/tex]
[tex]P =5x-260[/tex]
If the profit is the difference between the revenue and the cost, 5x – 260 expression represents the profit. Correct option is 3.
The profit is calculated by subtracting the cost from the revenue. In mathematical terms, the profit (P) can be represented as:
Profit (P) = Revenue - Cost
Among the given options:
1. 3x - 260
2. 3x + 140
3. 5x - 260
4. 5x + 140
We need an expression where the first term represents the revenue and the second term represents the cost, so that when we subtract the cost from the revenue, we get the profit.
Option 3, 5x - 260, fits this pattern:
- Revenue: 5x
- Cost: 260
When we subtract the cost from the revenue:
Profit (P) = Revenue - Cost = 5x - 260
So, option 3, 5x - 260, is the expression that represents the profit.
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Complete question is:
If the profit is the difference between the revenue and the cost, what expression represents the profit?
1. 3x – 260
2. 3x + 140
3. 5x – 260
4. 5x + 140
Lateral area=
A)96 pie square units
B)24 pie square units
C)48 pie square units
Answer:
C)48 pi square units
Step-by-step explanation:
The lateral area is the area around the sides ( does not include the top or bottom)
LSA = 2pirh
= 2 pi(4) (6)
= 48 pi
Which expression uses the commutative property of addition and the associative property of multiplication to rewrite the expression 5+3 * (3*8)
Step-by-step explanation:
many things are possible.
the only thing we must not do is mixing the addition elements with the multiplication elements.
but we could change the expression to
3×(3×8) + 5
or
5 + (3×3)×8
or
5 + (3×8)×3
and so on, and it would always be the same result.
The new expression is 3×(3×8)+5. Therefore, option B is the correct answer.
The given expression is 5+3 ×(3×8).
We need to use the commutative property of addition and the associative property of multiplication to rewrite the given expression.
What is the commutative property of addition?The commutative property deals with the arithmetic operations of addition. It means that changing the order or position of two numbers while adding them does not change the end result.
Associative property of multiplication: The associative property of multiplication says that while multiplying three numbers, regardless of the way the numbers are grouped, the end result will always be the same.
The new expression=3×(3×8)+5
Therefore, option B is the correct answer.
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Your question is incomplete, probably the complete question/missing part is:
Which expression uses the commutative property of addition and the associative property of multiplication to rewrite the expression 5+3 * (3*8)
A. (3*3)*8+8
B. 3*(3*8)+5
C. 5+3*(24)
D. 3*(8*3)+5
The theoretical probability of choosing Event A is 2
—
7
. What is the
theoretical probability of not choosing Event A?
Answer: [tex]\dfrac{5}{7}[/tex]
Step-by-step explanation:
Given
The theoretical probability of choosing an event A is [tex]\dfrac{2}{7}[/tex]
The sum of the probability of occuring and non-occuring of an event is always equal to 1.
So, the probability of non choosing Event A is
[tex]\Rightarrow 1-\dfrac{2}{7}\\\\\Rightarrow \dfrac{7-2}{7}\\\\\Rightarrow \dfrac{5}{7}[/tex]
For homework, Anya had to find the width of a bedroom after the scale changed from 1 inch : 4 feet to 1 inch : 7 feet. Her work is shown below.
1 inch = 4 feet. 1 inches = 7 feet. A rectangle with length of 4 inches and width of 2 inches. StartFraction 1 over 7 EndFraction = StartFraction x over 2 EndFraction. 7 x = 2. x = StartFraction 2 over 7 EndFraction feet.
1
7
= x
2
7x = 2x = 2
7
feet
What error did Anya make?
Answer:
she set up the proportion incorrectly; the second ratio should be 2/x
Step-by-step explanation:
To obtain the width :
Scale drawing :
Initial = 1 inch = 4 feet
New = 1 inch = 7 feet
Width of rectangle = 2 inches
New width should be in the form :
new scale = width of rectangle / width of drawing
If width of drawing = x
1 / 7 = 2 / x
Cross multiply
x = 7*2
x = 14
Answer:
its A
Step-by-step explanation:
hELPpppPpPP pLEAaSSEEseE
2,737 ÷ 305
4,516 ÷ 22
8,911 ÷ 45
9,473 ÷ 5
876 ÷ 2
Answer: 1: 8.973770492
2: 205.2727273
3: 198.0222222
4: 1894.6
5: 438
Answer:
1: 8.973770492
2: 205.2727273
3: 198.0222222
4: 1894.6
5: 438
Step-by-step explanation: Just use a caculator
39.341 × 0.72 = _____
Answer:
28.32552
Step-by-step explanation:
39.331×0.72=28.32552
The baker at The Bake Shop makes 24 muffins in 1 hour. How many muffins will the baker make in 5 hours?
97 muffins
100 muffins
101 muffins
120 muffins
A vine is 3 inches long.The vine will grow 0.5 inches a week. Which function represents the length of the vine after n weeks
Answer: [tex]3+0.5n[/tex]
Step-by-step explanation:
Given
Vine is 3 inches long
It grows 0.5 inches a week
So, after n weeks it is given by the sum of initial length and the growth in n weeks
[tex]\Rightarrow 3+0.5n[/tex]
Abdul baked 300 cookies ,480 muffins and 240 cupcakes.Each container should be similar in terms of the numberof cookies, muffins and cupcake . A. What is the greatest number of containers he can pack? B. How many cookies ,muffins and cupcakes will there be in each container
Answer:
(a) 60 cups
(b) 5 cookies, 8 muffins and 4 cupcakes in each container
Step-by-step explanation:
Given
Let:
[tex]C \to Cookies; M \to Muffins; K \to Cupcakes[/tex]
So:
[tex]C : M : K = 300 : 480 : 240[/tex]
Solving (a): The greatest number of containers to be used;
To do this, we first reduce the ratio to the lowest
C : M : K = 300 : 480 : 240
Divide by 60
[tex]C : M : K = 5 : 8 : 4[/tex]
The ratio cannot be further reduced. Hence, he will use 60 cups
Solving (b): The number in each cup
In (a), we have:
[tex]C : M : K = 5 : 8 : 4[/tex]
This means that;
[tex]C = 5[/tex] --- Cookies
[tex]M = 8[/tex] --- Muffins
[tex]K = 4[/tex] -- - Cupcakes
what is the explicit formula for this sequence? 7, 2, -3, -8
Answer:
Common difference (d) = -5
Step-by-step explanation:
formula=>
an = a + (n-1)d
=> -8 = 7 + (4-1)d
=> -15 = 3d
=> 3d = -15
=> d = -15/3
=> d = -5
pls say the answers
i need this for my class activity
Answer:
i.c
ii.d
iiid
iv3
v180
Step-by-step explanation:
x is 60
A man was paid basic wage of 2.50. dollars a day.if he worked every day in the month, calculate his basic wage for February
Math help please show work thanks
Answer:
600.4 cm^2
Step-by-step explanation:
first we should find the base of samller triangle
hypotenuse = 35 cm
one side = 30 cm whereas other has be be find
using pythagoras theorem
a^2 + b^2 = c^2
30^2 + b^2 = 35^2
900 + b^2 = 1225
b^2 = 1225 - 900
b^2 = 325
b = [tex]\sqrt{325}[/tex]
b = [tex]5\sqrt{13}[/tex]
area of big triangle
base = 22 + [tex]5\sqrt{13}[/tex]
area of a triangle = base * height / 2
= 30 (22 + [tex]5\sqrt{13}[/tex] ) /2
=30*22 + 30*[tex]5\sqrt{13}[/tex] / 2
=660 + 540.83 / 2
=1200.83 / 2
=600.415
=600.4 cm^2
9514 1404 393
Answer:
330 cm²
Step-by-step explanation:
The formula for the area of a triangle is ...
A = 1/2bh
where b is the base length and h is the height measured perpendicular to the base.
Here, the base length is 22 cm, and the height is 30 cm. The area is ...
A = 1/2(22 cm)(30 cm) = 330 cm²
__
Additional comment
As is often the case with "overspecified" geometrical figures, the given dimensions are inconsistent. If the side lengths are taken as true, the height is closer to 33.1 cm, and the area is about 364.1 cm².
We assume the intended solution method is the one used above, as all it requires is to make use of a simple formula, and the calculation can be done mentally.
PLZ HELP
The coordinates of the vertices of quadrilateral ABCD are A(–5, –1), B(–1, –1), C(–1, 4), and D(–5, 6). The quadrilateral is reflected about the y-axis and the coordinates of A' are A'(5, –1).
Answer:
do u need other coordinates?
if so B'(1,-1)
C'(1,4)
D'(5,6)
the formula is (-x,y)
hope it helps :)
Answer: D is 5,6
Step-by-step explanation:
Surf Shack rents boards to beach goers. Each boogie board, b, rents for $5 per day and each surfboard, s, rents for $10 per day. On Tuesday, they rent out a total of 14 boards and have an income of $80. Write two equations relating boogie boards, b, and surfboards, s.
Answer:
b + s = 14
5b + 10s = 80
Step-by-step explanation:
Answer:
b + s = 14
$5b + $10s = $80
Step-by-step explanation:
the sum of boogie board and surfboard rented is 14
boogie board rented + surfboard rented = 14
b + s = 14 equation 1
total income derived from renting the two types of boards is $80
total income derived = total income derived from renting boogie boards + total income derived from renting surfboards
total income derived from renting boogie boards = cost of renting one boogie board x number of boogie boards rented
= $5 x b = 5b
total income derived from renting surfboards = cost of renting one surfboard x number of surfboards rented
= $10 x s = 10s
80 = 5b + 10s equation 2
how do do this plz help
Answer:
okay for graphing first one start at zero go up five. then rise over run. so go up one and right four.
second one go down one. then down one right one
Through (1,0) slope = -1
Answer:
y = -1x+1
Step-by-step explanation:
The equation for a line in slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = -1x+b
Substitute in the point
0 = -1(1) +b
0 = -1+b
1 = b
The equation is
y = -1x+1
What portion of shared $6000 security costs should be apportioned to store B?
Answer:
$600
Step-by-step explanation:
2500+625+625+2500=6,250
625/6,250=.10 or 10%
6000x.10=600
can someone help me with this please
Answer:
(3) is the right answer because 360° - 308° = 52°
Susana has a budget for school stationery of $33, but has already spent 19.10 on books and folders. Let p represent the amount that Susana can spend on other stationery. Write an inequality that shows how much she can spend on other stationery, and solve for p.
Answer: $13.90
Step-by-step explanation:
Since Susana has a budget for school stationery of $33, but has already spent $19.10 on books and folders, the inequality that shows how much she can spend on other stationery, will be represented by:
p + $19.10 = $33
p = $33 - $19.10
The inequality is p = $33 - $19.10
Then, the amount that she can spend on other stationery will be:
P = $33 - $19.10
P = $13.90
She can spend $13.90 on other stationary
what is the name of the shape made by the equation below?
r=2+2 sin(theta)
Answer:
cardioid
Step-by-step explanation:
r=2+2 sin(theta)
This is of the form
r =a+b theta
This is a limacon
When a = b, it is called a cardioid.
Think about the vertical line test and answer the following question. Would a vertical line be a relation, a function, both a relation and a function, or neither a relation nor a function?
A.
both a relation and a function
B.
neither a relation nor a function
C.
function only
D.
relation only
Answer:
relation only
Step-by-step explanation:
The vertical line will be relation only.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable.
In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
Noted that Linear function is a function whose graph is a straight line
We can conclude that vertical line would be relation only.
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HELP PLEASE THIS IS IMPORTANT FOR MY CLASS!!1.what is the diameter in inches of a circle that has a circumference of 12 inches
Answer:
3.8 inches
Step-by-step explanation:
12 = 2 x 22/7 x r
84= 2 x 22 x r
42 = 22r
r = 1.9
2r = 3.8inches.
diameter is twice the radius
diameter = 3.8 inches
hope its right. good luck!
A new roller coaster is set to open at an amusement park. Due to the height and speed of the roller
coaster, you must be taller than 48 inches to ride.
PAG
Answer:
48cm<h
Step-by-step explanation:
Which graph represents the solution of the system?
Answer:
We can determine which image is correct by the second equation, only in one of the images the line is correct.
X-y=1
So x = 1+ y
If y is one x should be two.
Only in one image that is true, the third image.
Please explain me briefly if you can!!
Answer:
[(x-y)(x²+xy+y²)] [(x+y)(x²-xy+y²)]
Step-by-step explanation:
x⁶-y⁶
(x³-y³)(x³+y³) difference and sum of two cubes
[(x-y)(x²+xy+y²)] [(x+y)(x²-xy+y²)]
Help help help need to bring my f up in math
Answer:
(4,20)
Step-by-step explanation:
The table shows the ordered pair (4, 16), meaning that (4, 20) wouldn't fit.
Find the sum of the sequelle
Σ (k3 - 6)
k= 1
3
Σ (3-6) =
Answer:
[tex]\sum\limits^3_{k=1}(k^3 - 6) = 18[/tex]
Step-by-step explanation:
Given
[tex]\sum\limits^3_{k=1}(k^3 - 6)[/tex]
Required
Evaluate
This means that we substitute 1 to 3 for k.
So, we have:
[tex]\sum\limits^3_{k=1}(k^3 - 6) = (1^3 - 6)+(2^3 - 6)+(3^3 - 6)[/tex]
[tex]\sum\limits^3_{k=1}(k^3 - 6) = (1 - 6)+(8 - 6)+(27 - 6)[/tex]
[tex]\sum\limits^3_{k=1}(k^3 - 6) = -5+2+21[/tex]
[tex]\sum\limits^3_{k=1}(k^3 - 6) = 18[/tex]
A radius of a circle is 8 centimeters long.
One centimeter is about 0.4 inches. About
how long is the radius of the circle in
inches?
Answer:
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Step-by-step explanation: