You want to order posters to advertise your band. A company charges $109.95 for the first 100 posters and $65 for each additional 100 posters. Write an equation that represents the total cost y (in dollars) as a function of the number (in hundreds) of posters ordered, x. Find the total cost of 1000 posters.
The equation that represents the total cost as a function of the number (in hundreds) of posters ordered, x is f(y) = 109.95 + 65x
let
y = total cost
x = numbers in hundreds
cost of first hundred = $109.95
Cost of additional hundred = $65
f(y) = 109.95 + 65x
The total cost of 1000 posters
1000 - first hundred = 900
additional hundreds = 900/100
= 9
So,
f(y) = 109.95 + 65x
= 109.95 + 65(9)
= 109.95 + 585
= 694.95
f(y) = $694.95
Therefore, the total cost of 1000 posters is f(y) = $694.95
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what is factor write its type
Answer:
These are the answers
Step-by-step explanation:
factor, in mathematics, a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12.
Hope it helps !
i don't understand help me please math!!
Answer:
A. 315 degree
B. 6480 degree
C. 63^ over 2
D. 7^ over 4
E. 945 degree
hope it help:)
if candy canes cost .89 a dozen, how much would it cost to buy candy canes for a school with 300 students
Answer:
267
Step-by-step explanation:
Answer:
First dont give candie second keep for yourself third mock them 4th be greedy
Step-by-step explanation:
by buying candie from your own money nah waste on yourself
If the triangles are similar, which must be true? StartFraction R Y Over Y S EndFraction = StartFraction R X Over X T EndFraction = StartFraction X Y Over T S EndFraction StartFraction R Y Over R S EndFraction = StartFraction R X Over R T EndFraction = StartFraction X Y Over T S EndFraction StartFraction R Y Over R S EndFraction = StartFraction R X Over R T EndFraction = StartFraction R S Over R Y EndFraction StartFraction R Y Over R X EndFraction = StartFraction R S Over R T EndFraction = StartFraction X Y Over T S EndFraction.
The correct relation between the triangles if the triangles are similar is, [tex]\dfrac{RY}{RS} = \dfrac{RX}{RT} = \dfrac{XY}{TS}[/tex].
Given that,
Consider [tex]\rm \triangle RST[/tex] and [tex]\rm \triangle RYX[/tex].
Triangle RST is shown.
Line XY is drawn parallel to side ST within triangle RST to form a triangle [tex]\rm \triangle RYX[/tex].
We have to determine,
If the triangles are similar, which must be true?
According to the question,
Consider [tex]\rm \triangle RST[/tex] and [tex]\rm \triangle RYX[/tex].
Triangle RST is shown.
The relationship between the triangles is line XY is drawn parallel to side ST within triangle RST to form [tex]\rm \triangle RYX[/tex].
The point X on side RT and point Y on side RS in [tex]\rm \triangle RYX[/tex].
Then,
The [tex]\rm \triangle RST[/tex] is similar to [tex]\rm \triangle RYX[/tex], the corresponding ratio of their sides are equal,
[tex]\dfrac{RY}{RS} = \dfrac{RX}{RT} = \dfrac{XY}{TS}[/tex]
Hence, The correct relation between the triangles if the triangles are similar is, [tex]\dfrac{RY}{RS} = \dfrac{RX}{RT} = \dfrac{XY}{TS}[/tex].
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Answer:
B.
Step-by-step explanation:
Edge 2022
Can someone tell me if this is correct if not please correct me in the wrong ones
Answer:
The answer to 2 is "acute".
The answer to 6 is "right triangle"
For 10, it actually is possible. An example is 50, 50, 80
Step-by-step explanation:
An acute triangle is when each angle is less than 90 degrees.
Any triangle with 90 degrees for one angle counts as a right triangle.
all angle measures in a triangle must add up to 180 degrees. Hope this helps!
en un maratòn participan corredores de todos los continentes 5/6 de los corredores son europeos se sabe que los americanos son la dècime parte de los europeos y que los africanos son la quinta parte de los americanos el resto de los participantes son mitad asiaticos y mitad de Oceanìa
Usando proporciones, se encuentra que 400 africanos han participado.
En total, hay x participantes.
[tex]\frac{5}{6}[/tex] de los corredores son europeos, o sea:
[tex]E = \frac{5x}{6}[/tex]
Los americanos son la dècime parte de los europeos, o sea:
[tex]Am = \frac{1}{10}E = \frac{5x}{60} = \frac{x}{12}[/tex]
Los africanos son la quinta parte de los americanos, o sea:
[tex]Afr = \frac{1}{5}Am = \frac{x}{60}[/tex]
En la carrera han inscritos 24 000 participantes, o sea, [tex]x = 24000[/tex]. Por eso, la cantidad de africanos es:
[tex]Afr = \frac{x}{60} = \frac{24000}{60} = 400[/tex]
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Answer: Quiere preguntar alguna perosnas que sabe los importante preguntas.
Step-by-step explanation:
Eight children can fold 5 paper cranes in 6 minutes.
(i) How long will it take 36 children to fold 120 paper cranes?
A bicycle store costs $2550 per month to operate. The store pays an average of $45 per bike. The average selling price of each bicycle is $75. How many bicycles must
the store sell each month to break even?
Answer:
3750
Step-by-step explanation:
2250/45=50
50x75=3750
What is the simplified form of the following expression? Assume x not-equals 0. RootIndex 5 StartRoot StartFraction 10 x Over 3 x cubed EndFraction EndRoot StartFraction RootIndex 5 StartRoot 10 x EndRoot Over 3 x EndFraction StartFraction RootIndex 5 StartRoot 30 EndRoot Over 3 x EndFraction StartFraction RootIndex 5 StartRoot 120 x cubed EndRoot Over 3 x EndFraction StartFraction RootIndex 5 StartRoot 810 x cubed EndRoot Over 3 x EndFraction.
Equivalent expressions are expressions of different forms that have the same value
The equivalent simplified expression of [tex]\sqrt[5]{\frac{10x}{3x^3}}[/tex] is [tex]\sqrt[5]{\frac{810x^3}{243x^5}}[/tex]
The equation is given as:
[tex]\sqrt[5]{\frac{10x}{3x^3}}[/tex]
Multiply the fraction by 810x^2.
So, we have:
[tex]\sqrt[5]{\frac{10x}{3x^3}} =\sqrt[5]{\frac{10x \times 81x^2}{3x^3\times 81x^2}}[/tex]
Evaluate the products
[tex]\sqrt[5]{\frac{10x}{3x^3}} =\sqrt[5]{\frac{810x^3}{243x^5}}[/tex]
Hence, the equivalent simplified expression of [tex]\sqrt[5]{\frac{10x}{3x^3}}[/tex] is [tex]\sqrt[5]{\frac{810x^3}{243x^5}}[/tex]
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Answer:
d
Step-by-step explanation:
can somebody help me with this please
Answer:
2 bottles
Step-by-step explanation:
The 15 trees will need ...
(15 trees)×(10.5 fl oz/tree) = 157.5 fl oz
This is about ...
(157.5 fl oz)/(33.814 fl oz/L) ≈ 4.66 L
This is just slightly more than the quantity available in 1 bottle. It amounts to ...
4.66 L/(4.1 L/bottle) ≈ 1.14 bottles
We assume that only whole bottles can be purchased, and that we do not have an inventory of fertilizer on hand.
2 bottles are needed to fertilize 15 trees
Kathleen wants to plant a small vegetable garden in her yard. She fences off a rectangular area with a length of 25.75 feet and a width of 10.2 feet. What is the area of Kathleen's vegetable garden?
Answer:
A= L x W
A= 25.75 X 10.2
A= 262.65
Step-by-step explanation:
THE AREA OF KATHLEEN'S VEGETABLE GARDEN
Work out the area of a rectangle with base, b = 32mm and perimeter, P = 82mm.
Hey there! I attached a pic of how to solve this. Hope it helps!
Put the numbers in order from least to greatest.
39% , 0.42 , 11/25
Answer:
39%, 0.42, 11/25
Step-by-step explanation:
First, let's convert the percentage and the fraction into decimals, to make out lives so much easier.
39% = 0.39
11/25 = 0.44
Now, we reorder.
0.39, 0.42, 0.44
Finally, we convert the percentage and the fraction back into their original forms, and adjust the order.
39%, 0.42, 11/25
-hope it helps
HELP NOW! 20 POINTS!
Determine whether the graph represents a proportional relationship. (4 points)
A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 15. Four points are shown on the graph on ordered pairs 0, 2 and 1, 6 and 2, 10 and 3, 12. These points are joined by a line. The label on the x-axis is Number of cars. The title on the y-axis is Number of wheels.
Yes, it is a proportional relationship because the graph goes through the origin
Yes, it is a proportional relationship because the graph is a straight line
No, it is not a proportional relationship because the graph is not a straight line
No, it is not a proportional relationship because the graph does not go through the origin
Please help I was supposed to do this yesterday
If x=-4 and y= 9/2
Answer:
1/6([tex]3x^{2}[/tex]+4y)
Step-by-step explanation:
The pages in Rana’s diary are rectangular and not square. Both the length and width are measured in
whole centimeters. The perimeter of each page is 44 cm. What could be the area of each page?
Based on the information given, it should be noted that the area of the pages will be 112cm².
Since the perimeter is given as 44cm, the dimensions of the pages will be 8cm and 14cm.
Therefore, the area of the pages will be calculated thus:
= Length × Width
= 8cm × 14cm
= 112cm²
Therefore, it can be concluded that the area of the pages will be 112cm².
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A ramp for a loading truck is 13 long and covers 12 feet along the level ground. How many feet high is the highest point on the ramp?
Answer:
5 feet
Step-by-step explanation:
Using pythagoras' theorem a^2 = b^2 + c^2
13^2 = 12^2 + c^2
c^2 = 25
c = 5 feet
Answer:5
Step-by-step explanation:
e: x10+x15+x30=3
⇒3x+2x+x30=30
∴x=15
a: 1.5t+2.5t+3.5t=70+0.5t
⇒7.5t−0.5t=70
⇒7t=70⇒t=707=10
b: Let the number be x.
Given that, 2x3−x6=10
⇒4x−x6=10
x=20
d: 3x+5>25−x
⇒3x+x>25−5
⇒4x>20⇒x>204⇒x>5.
Each big square below represents one whole.
What percent is represented by the shaded area?
Answer:
the frist one
Step-by-step explanation:
hope it helps
Solve the pair of simultaneous equations
x = 4 - y
x = y + 2
(3,1)
x=3; y=1
Step-by-step explanation:
Algebraic
Answer:
The solution to this system of linear equations is (3, 1).
Step-by-step explanation:
Here we have two equations for x. We can eliminate x by setting these two equations equal to one another, obtaining 4 - y = y + 2, or 2 = 2y
Then y must be 1. Substituting this into the first equation, we get x = 4 - 1 = 3.
The solution to this system of linear equations is (3, 1).
Which equation best fits the graphed data?
6+
4+
2+
+X
-6
-4
- 2
2
6
N
-2+
.
.
-4
-6+
Answer:
D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Which expression would be easier to simplify if you used the commutative
property to change the order of the numbers?
O A. 80 + 20 + (-17)
O B. 2/3 +(-1/3) + 1/5
O C. (–19) + (-10) + 7/8
O D. (-80) + 43+ (-120)
Answer:
Step-by-step explanation:
THE ANSWER IS A. 80 + 20 + (-17)
PLS HELP ASAP. QUESTION IN PICTURE
Answer:
80
Step-by-step explanation:
180 - 100 = 80
(Meeting character limit)
A ream of paper contains 480 sheets. Each sheet is 0.014 cm thick. Find the thickness of the ream of paper.
Answer:
19.2 cm
Step-by-step explanation:
480×0.014
=19.2
All you need is on the photo
Please put these answer choices in oreder
Please don't answer random if you do that tou are gonna lose points
Answer: a
Step-by-step explanation:
Select all the expressions that equal:
-7 - (- 12)
below:
Answer:
c and e
Step-by-step explanation:
[tex]-7-(-12) = -7 +12 = 12 +(-7)[/tex]
Elena’s Hair Salon uses an average of 5.4 quarts of shampoo per month. If Elena
wants to order for the year, how many quarts of shampoo does she need to order?
The number of quarts of shampoo does Elena need to order, When she wants to order for the year, is 64.8.
What is an unknown variable?Unknown variables are used to find the unknown values of the problem using the algebraic expressions.
To find the values of unknown quantity, the statements of a problem is converted in the algebraic equation form using the variable in place of unknown numbers.
Elena’s Hair Salon uses an average of 5.4 quarts of shampoo per month. Let suppose that she needs to order n quarts of shampoo in a year.
As it is known that there are total 12 months in a year and Elena’s Hair Salon uses an average of 5.4 quarts of shampoo per month. Thus, the number of quarts of shampoo does she need to order is,
[tex]n=5.4\times12\\n=64.8\\[/tex]
Thus, the number of quarts of shampoo does Elena need to order, When she wants to order for the year, is 64.8.
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1. The teacher assigns homework after 7/10
of the lessons
A) unlikely
B) likely
C) certain
D) equally likely
Answer:
B) Likely
Step-by-step explanation:
Unlikely = < 50%
Likely = > 50%
Certain = 100%
Equally likely = 50%
The area of a triangle is 40 square inches.
The base of the triangle is x + 1,
and the height is x - 1.
Find the value of x, and the dimensions of the triangle.
A = 1/2bh
Answer:
+9 and -9
Step-by-step explanation:
If the velocity of a car is 45 kilometers per hour west how far can it travel 0.5 hours?
Answer:
It dosn't matter which direction the car is going, it's going 45 km/hr thus it's going 45/2 in 0.5 hr = 22.5 km
Step-by-step explanation: