a) The piecewise function is:
[tex]C(n) = 12 + 1.40n, n \leq 20[/tex]
[tex]C(n) = 15 + 1.1n, n > 20[/tex]
b) Applying the piecewise function, it is found that it will cost $40.
A piecewise function is a function that has different definitions based on the input.
Item a:
20 or fewer cups, fixed cost of $12 for shipping plus $1.40 per cup. Thus, the first definition of the function for the cost of n cups is:[tex]C(n) = 12 + 1.40n, n \leq 20[/tex]
For more than 20 cups, price of $1.1 per cup plus a shipping and handling fee of $15. Then:[tex]C(n) = 15 + 1.1n, n > 20[/tex]
Then, the piece-wise function is:
[tex]C(n) = 12 + 1.40n, n \leq 20[/tex]
[tex]C(n) = 15 + 1.1n, n > 20[/tex]
Item b:
The cost of 20 cups is C(20).It is the first definition, which is valid for [tex]n \leq 20[/tex].Then:
[tex]C(20) = 12 + 1.4(20) = 12 + 28 = 40[/tex]
It will cost $40.
A similar problem is given at https://brainly.com/question/24815096
find product6,372x75
Answer:
i like c ock
Step-by-step explanation:
6x+10=30x+135 solve for "x"
Answer:
x=-125/24
Step-by-step explanation:
(6x+10)+(-10-30x)=(30x+135)+(-10-30x)
(6x+10)+(-30x-10)=(30x+135)+(-30x-10)
6x+10-30x-10=30x+135-30x-10
6x-30x+10-10=30x-30x+135-10
-24x=125
24x/24=-125/24
x=-125/24
636/526 pls answer and you get points
Answer:
1.20912547529
Step-by-step explanation:
Solve for x not y please I am stuck
Answer:
x=2, x=1
Step-by-step explanation:
let's solve :
[tex] {4}^{2x} - 20(4 {}^{x} ) + 64 = 0[/tex]let's take
[tex]2 {}^{2x} = y[/tex]
now,
[tex]{(2{}^{2x} )} {}^{2} - 20(2) {}^{2x} + 64 = 0[/tex][tex]y {}^{2} - 20y + 64 = 0[/tex][tex]y {}^{2} - 16y - 4y + 64 = 0[/tex][tex]y(y - 16) - 4( - 16) = 0[/tex][tex](y - 16) (y - 4) = 0[/tex][tex]y = 16 \: \: or \: \: y = 4[/tex]if y = 16, then :
[tex]2 {}^{2x} = 16[/tex][tex] {2}^{2x} = 2 {}^{4} [/tex][tex]2x = 4[/tex][tex]x = 2[/tex]and if y = 4 :
[tex] {2}^{2x} = 4[/tex][tex] {2}^{2x} = {2}^{2} [/tex][tex]2x = 2[/tex][tex]x = 1[/texhence, value of x = 1 or x = 2
Translate this phrase into an algebraic expression.
17 increased by twice Gail’s savings.
Use the variable g to represent Gail’s savings.
Answer:23/18
Step-by-step explanation:
Use the pH standards below to answer the following questions:
pH Water Quality Standards
pH Range
Good-neutral
7-7.5
Fair - neutral zone
6.5-6.9 or 7.5-8.5
5.5-6.4 or 8.6-9
Marginal - too acidic or basic
Less than 5.5 or more than 9
Poor -- too acidic or basic
a. What is the water quality of water with a pH of 4.4?
b. What is the water quality of water with a pH of 7.2?
c. What is the water quality of water with a pH of 6.3?
What is the midpoint of the line segment?
Drag the coordinates to the boxes to correctly match the endpoints and midpoint
Using the midpoint concept, it is found that:
The midpoint of the line segment of endpoints [tex](2, \sqrt{3})[/tex] and [tex](-6, 5\sqrt{3})[/tex] is [tex](-2, 3\sqrt{3})[/tex].The midpoint of the line segment of endpoints [tex]\left(-\frac{5}{3}, \frac{2}{5}\right)[/tex] and [tex]\left(\frac{1}{3}, \frac{3}{2}\right)[/tex] is: [tex]\left(-\frac{2}{3}, \frac{19}{20}\right)[/tex]The midpoint of a line segment is given by the mean of the coordinates of it's endpoints.
For the first segment, which endpoints [tex](2, \sqrt{3})[/tex] and [tex](-6, 5\sqrt{3})[/tex]:
[tex]x_M = \frac{2 - 6}{2} = -2[/tex]
[tex]y_M = \frac{\sqrt{3} + 5\sqrt{3}}{2} = 3\sqrt{2}[/tex]
The midpoint is [tex](-2, 3\sqrt{2})[/tex]
For the second segment, which endpoints [tex]\left(-\frac{5}{3}, \frac{2}{5}\right)[/tex] and [tex]\left(\frac{1}{3}, \frac{3}{2}\right)[/tex]:
[tex]x_M = \frac{-\frac{5}{3} + \frac{1}{3}}{2} = -\frac{4}{6} = -\frac{2}{3}[/tex]
[tex]y_M = \frac{\frac{2}{5} + \frac{3}{2}}{2} = \frac{\frac{4 + 15}{10}}{2} = \frac{19}{20}[/tex]
The midpoint is [tex]\left(-\frac{2}{3}, \frac{19}{20}\right)[/tex]
A similar problem is given at https://brainly.com/question/24352869
what's -2 5/11 - -7 1/11
Answer:
4.63636363636
Step-by-step explanation:
Answer:
1 -2 5 /11 - -7 1 / 11
2 5/11
= 2.27
7 1 / 11
6.45
= -4 . 18
Find the area of a sector of a circle for a 50 Degree angle with a diameter of 200 feet,
O 1.090.83 feet
O 5.363.32 feet
4.363.32 feet
O 17.453.30 feet
Answer:
17,453.30 feet
Step-by-step explanation:
What is the solution to the equation −p−13=−43p+23(5p−6)?
Answer:
p = 125/73
Step-by-step explanation:
−p − 13 = −43p + 23 (5p − 6)
−p − 13 = −43p + 115p − 138
−p − 13 = 72p − 138
+p +p
-----------------------------
-13 = 73p - 138
+138 +138
-----------------------------
125 = 73p
/73 /73
-----------------------------
125/73 = p
If you need the answer in mixed fraction, then it's --> p = 1 52/73
The solution to the given equation is p = - 1.71
To determine the solution of the given equation,
We will find the value of the variable, p, that satisfies the equation.
From the question, the given equation is
[tex]-p-13 = -43p+23(5p-6)[/tex]
To solve this,
First, Clear the brackets
[tex]-p-13 = -43p + 115p - 138[/tex]
Now, Collect like terms
[tex]-p +43p -115p = -138 + 13[/tex]
[tex]73p = -125[/tex]
Now, divide both sides of the equation by 73
[tex]\frac{73p}{73} = \frac{-125}{73}[/tex]
∴ p = - 1.71
Hence, the solution to the given equation is p = - 1.71
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I still need to know this and the blank5.) 48 : _______ = 8 : 9
5. Gardener Gary planted 21 rows of tomatoes
and squash. He planted twice as many rows of
tomatoes as rows of squash. How many tomato
plants were planted if there are 12 plants per
row?
Answer:
168
Step-by-step explanation:
first find out how many rows of squash there are
21 = x + 2x
21 = 3x
7 = x
then find out how many rows of tomatoes there are
7 × 2 = 14
if there are 12 plants per row, we can multiply
14 × 12 = 168
Gardener Gary planted 168 tomato plants
How to determine the number of yellow leaves?Let the rows of tomato be x and the rows of squash be y.
So, we have:
x + y = 21
The statement twice as many rows of tomatoes as rows of squash means that:
x = 2y
Substitute x = 2y in x + y = 21
2y + y = 21
This gives
3y = 21
Divide by 3
y = 7
Substitute y = 7 in x = 2y
x = 2 * 7
x = 14
This means that Gary planted 14 rows of tomato.
The number of tomato plants is then calculated using
Tomato plants= 14 * plants per row
This gives
Tomato plants = 14 * 12
Evaluate the product
Tomato plants = 168
Hence, Gardener Gary planted 168 tomato plants
Read more about system of equations at:
https://brainly.com/question/14323743
Please help!!
Victor's solution to an equation is shown below. Which property of real numbers did Victor use for Step 3? A. Associative Property of Multiplication B. Addition Property of Equality C. Subtraction Property of Equality D. Commutative Property of Multiplication
Answer:
can't see the equation sorry
Answer:
Subtraction Property of Equality
Step-by-step explanation:
Victor solved this inequality as shown:
Given: 6+3(x+5) = 36
Step 1: 6+3x+15 = 36
Step 2: 3x+21= 36
Step 3: 3x = 15
Step 4: 3x=15
What property justifies the work between step 3, I'm guessing its this question if not message me.
from step 2 to 3 we must use Subtraction Property of Equality since
3x+21 = 36 must subtract 21 both sides
then u get 3x=15
Select two real-life situations that use parallel lines.
A four-way stop on a street represents parallel lines.
A four-way stop on a street represents parallel lines.
Pages of a book represent parallel lines.
Pages of a book represent parallel lines.
Railroad tracks are parallel.
Railroad tracks are parallel.
The out of bounds lines on a football field are parallel.
The out of bounds lines on a football field are parallel.
The hands on a clock are parallel.
Hey Guys I need some help in answering( some areas of a Triangle) - the Question will be attached Below.
Can you guys also help me by putting the working out too All of the Questions ( Including page 1 & 2 Please so I can also Understand).
Thanks! Greatly Appreciated if you Can!
Step-by-step explanation:
2)
Rectangle has side 5 cm so one side of triangle will be 5cm
area of triangle is = 1/2lb
= 1/2 5*4
=10 cm^2
area of rectangle is l*b = 5*3= 15 cm^2
are of the shape is 10+ 15= 25 cm^2
Area of rectangle is 6*8 = 48 m^2
Area of triangle is = 1/2 *8*2= 8 m^2
area of the shape is 48+8= 56m^2
The length of Chen’s office is 15.5 feet and the width is 7.8 feet. Use the formula P = 2ℓ + 2w to find the perimeter of the office.
46.6 feet
Step-by-step explanation:
P = 2ℓ + 2w
P = 2(ℓ + w)
P = 2(15.5 + 7.8)
P = 2(23.3)
P = 46.6 feet
On a given day, the exchange rate from US dollars to Australian dollars was 1 US dollar = 1.31 Australian dollar. About how much could you get in Australian dollars if you exchanged $560 US dollars on that day?
Answer:
733.6
Step-by-step explanation:
I did it
" lon works at a restaurant and earns $20 for each shift, plus an hourly wage of $9.50. He earned $58 on his last shift, but forgot how many hours he worked. he was able to solve for his shift length bu subtracting 20 from 58 and then dividing by 9.50. Which of the equations below can be solved with these steps? "
A) 58x - 20x = 9.50
B) 9.50x + 20 = 58
C) 20x + 58x = 9.50
D) 20 = 58 + 9.50x
Answer:
The answer is b
Step-by-step explanation:
x represensts the number of hours worked with 9.50 for every hour and then you add an extra 20 because that's what his job gives him just for showing up
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D
Answer:
a line graph
Step-by-step explanation:
they can make u easily see the rise and fall throught the years and it is easy to see ur data. historgrams are grouped into number ranges and bar graph are used to compare different categories.
The ratio of the number of apples to the number of oranges is 5:2 . There are 18 more apples than oranges. If 24 oranges are added, what will be the new ratios of apples to the numbers of orange?
Answer:
5 : 6
Step-by-step explanation:
The ratio of apples to oranges is 5 : 2 = 5x : 2x ( x is a multiplier )
There are 18 more apples than oranges , that is
5x = 2x + 18 ( subtract 2x from both sides )
3x = 18 ( divide both sides by 3 )
x = 6
There are 5 × 6 = 30 apples and 2 × 6 = 12 oranges
The number of oranges is increased by 24, to 12 + 24 = 36 , then
30 apples : 36 oranges ( divide both parts by 6 )
= 5 : 6
Math experts can you please factor this thank you
Answer:
(x - 2) (x + 5)
Step-by-step explanation:
Hope this helps!
(5x - 17) + 48
find the value of X and Y
4
3
1
-5 -4 3.-2.-1
2
1
13
- 2
-3
-4
1-5
Find the slope of the line graphed.
Answer:
2/5
Step-by-step explanation:
cuz
It snowed 9.33 inches on Monday and 0.66 inches on Tuesday. How much did it snow on
Monday and Tuesday combined?
9.33 +
0.66
9.99
It snowed 9.99 inches on Monday and Tuesday combined
Convert the measurement as indicated
90 in to yards
Answer: 2.5 yards
Step-by-step explanation: Divide the inches value by 36. 90/36 = 2.5
Michael walks a group of dogs 3 miles every day. The graph below shows the relationship between the number of dogs in the group and the distance he walks the dogs each day
Manuel wants 30 liters of a mixture of water and 10% lemon juice. He has a mixture of 8% lemon juice and a mixture of 20% lemon juice. How many liters of the 8% and 20% mixtures should he mix to get what he wants?
Manuel needs 20 liters of the 8% and 5 liters of 20% mixtures to be mixed so as to get 30 liters of a mixture of water and 10% lemon juice.
Let x represent the amount of 8% lemon juice in liters and y represent the amount of 20% lemon juice in liters.
Since Manuel wants to produce a 30 liters mixture from 8% lemon juice and 20% lemon juice, hence:
x + y = 30 (1)
Also, Manuel wants 30 liters of a mixture of water and 10% lemon juice, hence:
8% of x + 20% of y = 10% of 30 liters
0.08x + 0.2y = 3 (2)
Solving equation 1 and 2 simultaneously; multiply equation 1 by 0.2 and subtract equation 2 from the result:
0.12x = 3
x = 25 liters
x + y = 30
25 + y = 30
y = 5 liters
Manuel needs 20 liters of the 8% and 5 liters of 20% mixture
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evaluate (-3) (-10) answer
dddddd
Answer:
30 because negative x negative = a positive number
A figure above the line y=-1 is reflected across the line y=-1 and then reflected across the line y=-5. Determine the slope and magnitude of the equivalent translation vector.
Answer:
s
Step-by-step explanation:
A parachutist's speed during a free fall reaches 55 meters per second. What is this speed in feet per second? At this speed, how many feet will the parachutist fall during 15 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers
Explanation:
Explanation:50 m ≅164 ft (3s.f.)
Explanation:50 m ≅164 ft (3s.f.)50 m/s≅164 ft/s
Explanation:50 m ≅164 ft (3s.f.)50 m/s≅164 ft/sdistance after 20s:
Explanation:50 m ≅164 ft (3s.f.)50 m/s≅164 ft/sdistance after 20s:d=164 ft/s ⋅20s
Explanation:50 m ≅164 ft (3s.f.)50 m/s≅164 ft/sdistance after 20s:d=164 ft/s ⋅20s=3280 ft
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