The function to describe the following scenario is f(x) = 0.06x + 20 if there is a $20 minimum charge.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
Let x be the number of cards:
The total cost for the card is f(x)
Then f(x) can be framed as:
f(x) = 20 + 0.06x
Or
f(x) = 0.06x + 20
Thus, the function to describe the following scenario is f(x) = 0.06x + 20 if there is a $20 minimum charge.
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y varies directly as x. y = 60 when x = 5. Find y when x = 17. Y=
Answer:
204
Step-by-step explanation:
Hello!
If y varies directly with x, that means y is a result of multiplying a number by x.
When x is 5 and y is 60, x is being multiplied by 12 to get y. That means, the direct variation equation is y = 12x.
Replace 17 with x to find y.
Evaluatey = 12x; x = 17y = 12(17)y = 204The value of y when x is 17 is 204.
Alex bought 6 books for 8 dollars. He had 20% off the total cost ($8) how much did he pay for the books? It’s asking to write it up in 2 decimal places
SOLUTION
The total cost of the books is $8
Calculating 20% off gives
[tex]\begin{gathered} 8-20\%\times8 \\ =8-1.6 \\ =6.4 \end{gathered}[/tex]Therefore the amount paid is $6.40
You need a 70% alcohol solution. On hand, you have a 150 mL of a 15% alcohol mixture. How much pure alcohol will you need to add to obtain the desired solution?
Answer: you have to add 60 mL of the 70% solution.
Step-by-step explanation:
If you have 180 mL of a 30% alcohol mixture, then (180mL)(0.30) = 54mL of that solution is alcohol.
Similarly, if you have x mL of a 70% alcohol mixture, then (x mL)(0.70) = 0.70x mL of that solution is alcohol.
When you combine these two liquids, you will have (180 + x) mL of liquid and you want it to be 40% alcohol.
So, you simply need to solve the equation:
180(0.30) + x(0.70) = (180 + x)(0.40)
54 + 0.70x = 72 + 0.40x (distribute the 0.40)
0.30x = 18 (subtract 54 from both sides and subtract 0.40x from both sides)
x = 60
So, you have to add 60 mL of the 70% solution.
Hope this helps! :)
Bryce wrote the linear regression equation y = 1.123 x minus 6.443 to predict the armspan, y, of a person who is x inches tall. riley has an armspan of 67.5 inches. which is the best prediction of riley’s height? 54.36 inches 65.84 inches 66.55 inches 69.36 inches
Finding the numeric value of the regression equation, the best prediction of Riley's height is given by:
65.84 inches.
Finding the numeric value of a function or of an expressionTo find the numeric value of a function, we replace each instance of the variable in the function or in the expression by the desired value.
The regression equation in this problem gives the armspan of a person, represented by y, as a function of the height x as follows:
y = 1.123x - 6.443.
Riley has an armspan of 67.5 inches, hence y = 67.5, and we can find the best prediction for his height replacing the lone instance of y in the equation by 67.5 and solving for x, as follows:
67.5 = 1.123x - 6.443.
1.123x = 67.5 + 6.443
x = (67.5 + 6.443)/1.123
x = 65.84 inches, which is the best prediction.
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Answer:
It’s B
Step-by-step explanation:I did it on edge 2022 got it right!
5. Roger put down carpet in half of his bedroom, which is shown below. Which answer shows the area of his bedroom that has carpet?
Option(A) i.e, 60 sq. feet is an answer.
Define Area of rectangleThe area of a rectangle is the number of unit squares that its perimeter includes. A rectangle's area is the area it takes up within the confines of its four sides. The area of a rectangle is determined by its dimensions. A rectangle's area is essentially equal to the product of its length and breadth. A shape's area is defined as the "space enclosed within the perimeter or the boundary" of the given shape.
The area of a rectangle can be calculated using the formula Area of rectangle = length × width.
Given, length = 15 feet, width = 4 feet
put these values in given formula,
Area of rectangle = 15 * 4
= 60 square feet
Hence, the answer is option(A) i.e, 60 sq. feet.
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You are ordering shirts for a club at your school. The function f(x)=12x+25 represents the cost of ordered x shirts. How much would it cost to buy 68 shirts?
The Cost of 68 shirts is 841. The total cost formula is used to calculate a total by combining the variable and fixed costs of providing goods.
What is meant by total cost?Total cost = (average fixed cost x average variable cost) x number of units produced is the formula. To use this formula, you must first determine your fixed and variable costs. Total cost refers to the total cost of making an investment, which includes the investment cost as well as any broker commissions, taxes, licenses, and fees associated with the transaction. When calculating the return on investment, all of these costs should be considered. Total fixed costs are the sum of all a company's consistent, non-variable expenses.How to find Cost :
f(x) = 12x+25where f(x) is the cost of the shirt.X represents the number of shirts.Substitute x=68 in the above equation
so , f(x) = 12 (68)+25
f(x) = 841
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Find the solution for −0.4x − 4.15 = x − 1.6 − 2.97.
x = −3.3
x = 3.3
x = −0.3
x = 0.3
Answer:
x=0.3
Step-by-step explanation:
-0.4x-4.15=x-1.6-2.97
-0.4x-x=-(1.6-2.97)+4.15
-1.4x=0.42
x=0.3
Answer:
x=0.3
Step-by-step explanation:
PLEASE HURRY! I'LL GIVE BRAINLIEST
James reads at a constant rate that allows him to read 4 chapters each week. He begins reading a book that has 42 chapters. Which equation models the number of chapters James still has left to read, y, after x days?
y=42-4/7x
y=42-7x
y=42-4x
y=42-7/4x
Answer:
it is a. hope it helps
Step-by-step i think
Which of the following values are solutions to the
inequality 9 3x + 4?
I. 7 II. 8
III. 2
On solving the inequality we get that values 7 and 8 are solutions to the inequality, hence, option 3.
Here, we are given an inequality as follows-
9 < 3x + 4
Inequalities are solved in a similar manner as we solve equations.
Subtracting 4 from both sides of the inequality we get-
9 - 4 < 3x + 4 - 4
5 < 3x
dividing both sides by 3, we get-
5/3 < 3x/3
5/3 < x
x > 5/3
5/3 in decimal can be written as 1.66
Thus,
x > 1.66
From the given options only 7 and 8 are greater than 1.66.
Thus, on solving the inequality we get that values 7 and 8 are solutions to the inequality, hence, option 3.
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10. Which expression is equivalent to
(7.9x + 2)(0.5x)?
A. 3.95x² + 1
B. 3.95x2 + X
C. 7.9x² + 1
D. 7.9x² + 0.5x
Answer:
a.3.95x^2+1
9999999999999999999999999
please help tomorrow is my exam
The radius of the pond is found to be 17.32m.
What is angle of elevation?
The angle of elevation is the angle created between the line of sight and the horizontal. The angle created is an angle of elevation if the line of sight is upward from the horizontal line.
Given;
Length of the pole above= 30m
Angle of elevation = 60°
From the given information we can draw the diagram as the pole becomes the opposite of the angle of elevation and radius becomes the base.
Therefore,
Opposite / Base = tan 60°
=> base = 30 / √3
=> base = 17.32m
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what is 220/275 simplified?
Answer:
4/5, 0.8 decimal form
Step-by-step explanation:
Hope this helps
Marco needs to buy some cat food. At the nearest store, 2 bags of cat food costs $9.50. How much would Marco on 3 bags?
Answer:
$14.25 for 3 bags
Step-by-step explanation:
First of all, the question is stating that 2 bags of cat food cost $9.50. This means each bag (1 bag) would cost ($4.75) So u would multiply that by 3, which is easy!
Evaluate the numerical expression open parentheses 3 to the power of 2 close parentheses to the power of one third. 3 cube root of 9 cube root of 128 square root of 9
The simplified expression for this problem is given as follows:
(3²)^(1/3) = 3^(2/3) = [tex]\sqrt[3]{9}[/tex]
What is the power of a power rule?The power of a power rule is used when a single base is elevated to multiple exponents.
Then the simplified expression is obtained keeping the base, while the exponents are multiplied.
The exponents for this problem are given as follows:
2 and 1/3.
Hence the product is of:
2 x 1/3 = 2/3.
Converting the fractional exponent to a rational expression, we have that:
3^(2/3) = [tex]\sqrt[3]{3^2} = \sqrt[3]{9}[/tex]
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7. The temperature has been changing at the rate of -1.5° each hour. The starting
reading is 0°. What was the temperature 7 hours ago? Justify your answer.
Hello,
The temperature changes at rate of -1.5 degree celsius every hours and the reading of temperatures starts at 0 degree celsius which can be modeled into the linear equation of f(t) = -1.5t where f(t) is the temperature function and t is time.
The problem then asks, “what was the temperature 7 hours ago?” This question asks for the temperature 7 hours ago which means t = -7 in this case since we are solving for temperature 7 hours ago, not next 7 hours.
Time being negative in this scenario means in past or hours ago, generally time cannot be negative as it’s scalar quantity.
Substitute t = -7 in the temperature function, this’ll result in:
f(-7) = -1.5(-7)f(-7) = 10.5Therefore, 7 hours ago, the temperature was at 10.5 degree celsius. Please let me know if you have any questions!
is -70 a integer or rational number
Answer:
all integers are rational numbers
Step-by-step explanation:
please help me with this please
Answer:
Slope-intercept form: y = 9/4x - 53/4
Point-slope form: y + 2 = 9/4(x - 5)
malik is younger than daniel. their ages are consecutive integers. find malik’s age if the product of their ages is 42.
Answer:
go to gogle
Step-by-step explanation:
The consecutive age is 6 and 7 and Malik is 6 years old.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
let their Consecutive age be x, x+1
So, x(x+ 1)= 42
x²+ x - 42 = 0
x² + 7x- 6x - 42=0
x( x+ 7)- 6 ( x+ 7)= 0
(x+ 7)( x-6)= 0
x = 6, -7
Hence, the consecutive age is 6 and 7.
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whats the co-ordinates of the midpoint of (3,11) and (7,21)
The coordinates of the mid- point are (5, 16)
Given,
The midpoint of the line, given any points A (x₁, y₁) and B(x₂, y₂) .
In the question, we are given that the midpoint is (3, 11) and (7, 21).
and, to find the co- ordinates of the line.
Now, We know that the Formula of mid point
M = ({(x₁ + x₂)/2},{(y₁ + y₂)/2}).
Here, the points are (3, 11) and (7, 21)
Therefore,
(x, y) = ({(x₁ + x₂)/2},{(y₁ + y₂)/2}).
=> (x, y) = [( [tex]\frac{3+7}{2}[/tex]) , ([tex]\frac{11 + 21}{2}[/tex]) ]
=> (x , y) = (10/2 , 32/ 2)
=> (x ,y) = (5 , 16)
Hence, The coordinates of the mid- point are (5, 16)
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Based on only the info given and what you see in the picture, which pair(s) of angles and which pair(s) of sides are congruent? DONT SAY ED & AB
Answer:
EC and CB
DC and AC
Angle DCB and Angle ECA
Step-by-step explanation:
Line EC and Line CB both have the same measure of 32ft.
Line DC and Line AC both have the same measure of 28ft.
The angles are the sum of the same measures.
Solving Inequalities with One Variable
Show work
21+21<63
Answer: infinitely many solutions
Step-by-step explanation:
21 + 21 < 63
Calculate
42 < 63
infinitely many solutions
A gym offers a 12-month membership for $125 or an 8-month membership for $90. Which option has the lesser price per month?
Answer:
12-month option is cheaper per month
Step-by-step explanation:
A gym offers a 12-month membership for $125 or an 8-month membership for $90. Which option has the lesser price per month?
12-month option:
125/12 = $10.42
8-month option:
90/8 = $11.25
12-month option is cheaper per month.
Hannah is the oldest of four siblings whose ages are consecutive integers. If the sum
of their ages is 86, find Hannah's age.
Four siblings whose ages are consecutive integers. If the sum of their ages is 86 then The eldest sibling is 20, followed by siblings 21, 22, and 23.
What is consecutive integers ?Consecutive means in order. Integers are a collection of whole integers and their antipodes, such as -3, -2, 1, 0, 1, 2, 3, etc.
Let x = the one sibling
Let x + 1 = the second sibling
Let x + 2 = the third sibling
Let x+4 = the fourth sibling.
If you add the four siblings together they equal 86
(x) + (x +1) + (x + 2) + (x+3) = 86 I put the parentheses in so that you can see each sibling, but it is not needed.
x + x+ 1 +x + 2 + x+ 3 = 86 Combine like terms
4x + 6 = 86 Subtract 6 from both sides
4x = 80
x = 20
The eldest sibling is 20, followed by siblings 21, 22, and 23.
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consider the matrices. what are the dimensions of the project matrix of two of these matrices
When multiplying matrices, we have the following rule:
If the first matrix dimensions are 'a' and 'b' (that is, it has 'a' rows and 'b' columns) and the second matrix dimensions are 'c' and 'd', the product is only possible if we have b = c. Also, the resulting matrix dimensions will be 'a' and 'd'.
Knowing that rule, we have that:
[tex]\begin{gathered} A\to3x1 \\ B\to2x2 \\ C\to2x3 \\ D\to2x1 \\ \\ BD=2x2\cdot2x1\to2x1 \\ CA=2x3\cdot3x1\to2x1 \\ BC=2x2\cdot2x3\to2x3 \end{gathered}[/tex]what is the equation is x+9<2
Answer: Look at image
Step-by-step explanation: Look at image
[tex]x+9 < 2[/tex]
Subtract 9 from both sides:
[tex]x+9-9 < 2-9[/tex]
[tex]x < -7[/tex]
Find the average rate of change
The average rate of change is D. 2.
What is the average rate of change?The average rate of change simply means the measure of how the function will change let unit of time.
In this case, it is important to look at the input and the output that wee given. It can seen that the difference between the output is given as:
13 - 11 = 2
15 - 13 = 2
In this case, the average change is 2.
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(6.18 × 10¯¹) (8.7 x 10²)
Answer:
(6.18 × 10¯¹)=(0.618) (8.7 x 10²)=(870) so 0.618+870 is 870.618
Step-by-step explanation:
Hello could you please help me with question number 10?
Exponential Model
Some phenomena can be modeled as an exponential function of the form:
[tex]P=P_o(1+r)^t[/tex]Where Po is the initial value, r is the rate of change, and t is the time.
If the value of P decreases in time (decaying function), then r is negative. If the value of P increases in time (growth), then r is positive.
We know an investment of Po=$4500 has been losing value (decay) at a rate of r = -2.5% = -0.025 each year.
The value of the investment when t = 5 years is:
[tex]P=4500(1-0.025)^5[/tex]Calculating:
[tex]\begin{gathered} P=4500(0.975)^5 \\ P=4500\cdot0.8810957 \\ P=3964.93 \end{gathered}[/tex]The investment will be worth $3964.93 in 5 years
solve for x.
A) x = 11
B) x = 21
C) x = 17
D) x = 8
Answer:
A. x = 11
Step-by-step explanation:
so, the angle D corresponds to angle T.
therefore, the side BD corresponds to RT.
and CD to ST.
since both triangles are similar, they must have the same angles, and all corresponding sides and other lengths must have the same scaling factor.
so,
RT × f = BD
and the same f must then apply to
ST × f = CD
21 × f = 98
f = 98/21 = 14/3 = 4.666666666...
33 × 14/3 = 15x - 11
11 × 14 = 15x - 11
154 = 15x - 11
15x = 165
x = 11
Please help me with this!!
Answer: 33 in.
Step-by-step explanation: If the triangles are similar, you have to compare the same sides and find the scale. If you rotate the image, you see the 6 is the same side as the 18. A scale of 18:3 is the same as 3:1. Using this, you can see the missing side and 11 are the same, so you multiply the 11 by 3 to gett 33 as the length, and in. as your label.
I hoped this help and if I could get brainliest that would be nice <3
Answer
Step-by-step explanation:
