The liquid that Richard used in the punch is 1 1/4 cups.
What is a fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
In this case, Richard made punch for a party. He used 1/2 cup of pineapple juice, 1/2 cup of ginger ale, and 1/4 cup of white grape juice.
The total fraction will be:
= 1/2 + 1/2 + 1/4
= 1 1/4 cups.
Learn more about fractions on:
brainly.com/question/17220365
#SPJ1
The photo added is the question.
By taking some products we will see that the total number of cupcakes ordered is 6 cupcakes.
How many cupcakes are ordered?Here we want to see how many cupcakes this person is ordering. We know that orders 9 halves of a cupcake for the family, plus a quarter of a cupcake for each of the 6 friends.
The total number of cupcakes is given by the order for the family plus the order for the friends.
The order for the familiy is given by the product:
9*(1/2) = 9/2 = 4.5
That is 9 times 1/2 of a cupcake, so for the family the person orders 4.5 cupcakes.
For the friends the person orders 6 times 1/4 of a cupcake, so now we have the product:
6*(1/4) = 6/4 = 3/2 = 1.5
If we add these two numbers we get the total number of cupcakes:
4.5 + 1.5 = 6
The person ordered 6 cupcakes.
Learn more about products:
https://brainly.com/question/10873737
#SPJ1
Use the graph of y=f(x) to graph the function g(x)=f(x + 1)-3.
y = f(x)
4
Choose the correct graph of g below.
OA
OC.
B.
O D.
Q
Function g(x) is a translation of one unit to the left and 3 units down of f(x), then the correct option for the graph of g is B.
which is the graph of the transformed function?Here we start with a function f(x), and we also have the graph of this function.
And we want to find the graph of the function defined as:
g(x) = f(x + 1) - 3
Notice that:
g(x)= f(x + 1)
Is a translation of one unit to the elft of f(x).
g(x) = f(x) - 3
Is a translation of 3 units down of the graph of f(x).
Then:
g(x) = f(x + 1)- 3
Is a translation of one unit to the left and 3 units down.
With that in mind, we can see that the correct option for the graph of g(x) is option B.
Learn more about translations.
https://brainly.com/question/24850937
#SPJ1
Tobias bought four video games for $34.10, $25.50, $13.25, and $9.99.
How much money did Tobias spend?
What is the slope of this line?
O 3/2
O 2:3
0 −3/2
O I don't know.
Answer:
3/2
Step-by-step explanation:
the answer is 3/2 because you take the slope by using the equation y/x. I did this problem by starting prop the point (0,-6). I then counted for how many points I went up, how many did I go to the right or left. If it went to the right it’s positive, to the left it is negative. In this case it went to the right 2 times every time it went up 3. Meaning 3/2
help me please so i can pass my semester
plot 5/3 and its opposite on the number line
The numbers are plotted in the attached graph.
What is a number line?A number line is a representation of real numbers in the form of a graded straight line.
Note that 5/3 is approximately equal to 1.7.
Similarly, -5/3 is approximately equal to -1.7.
Now, use the number line to mark the points -1.7 and 1.7, the numbers lie near -2 and 2 respectively.
The numbers are plotted in the attached graph.
To learn more about the number lines, click here:
https://brainly.com/question/13189025
#SPJ1
Select the values that make the inequality
Answer: -4, -1, 1, 3, 3.9, 3.99, 3.999, 4
Step-by-step explanation:
That inequality symbol means less than or equal to. So that includes 4 and any number that precedes it on the number line.
9. Every 4th person who walks into the dance gets a free water bottle. Every 9th person who walks in
gets an integrity ticket. Who will be the first person to get both a water bottle and an integrity ticket at
the dance?
The first person to get both integrity ticket and free water bottle is the person who comes 36th. This can be calculated by using L.C.M
What is L.C.M?
The value that's equally divided by 2 provided numbers is that the lowest common multiple of any two. Least common multiple is its full name. Another name for it's the Lowest common divisor (LCD)
Main Body:
According to question,
Every 4th person who walks into the dance gets a free water bottle
Every 9th person who walks in gets an integrity ticket.
so the L.C.M of 4 and 9 should be calculated.
L.C.M of 4 and 9 is 36.
Hence L.C.M is 36
To learn more about L.C.M , click on the link below
https://brainly.com/question/233244
#SPJ9
Convert a person's weight of 122 pounds to kilograms. Show all conversion factors needed.
Round final answer to 2 decimal places if needed. The setup below should look like the typical dimensional
analysis that you learned.
Ihs ✓
The Fitness Studio, Inc.’s, 2021 income statement lists the following income and expenses: EBITDA = $686,000, EBIT = $547,000, interest expense = $94,000, and net income = $426,000.
Based on the data on the income statement, the amount of the tax equals to $27,000.
What is a taxes?Generally, a taxes refers to those mandatory contributions levied on individuals or corporations by a government entity either from local, regional, or national government.
Given that: EBIT = $547,000 Interest expense = $94,000 Net income = $426,000
EBT = EBIT - Interest expense
EBT = $547,000 - $94,000
EBT = $453,000
The tax reported in Income statement:
= EBT - Net income
= $453,000 - $426,000
= $27,000
In conclusion, the 2021 taxes reported on the income statement equals to $27,000.
Read more about Tax
brainly.com/question/14804487
#SPJ1
Please help me I need help
Answer:
p = 20
Step-by-step explanation:
[tex]\rm \implies \dfrac{p}{2} - 9 = 1 \\ \\ \rm \implies \dfrac{p}{2} - 9 + 9 = 1 + 9 \\ \\ \rm \implies \dfrac{p}{2 } = 10 \\ \\ \rm \implies \dfrac{p}{ \cancel{2}} \times \cancel{2} = 10 \times 2 \\ \\ \rm \implies p = 20[/tex]
Peter and Parker work for a cleaning crew. Peter can clean a room in 15 minutes less time than it takes Parker to do the same job. Working together,
they can clean two rooms in 110 minutes. Approximately how long does it take Peter to clean a room by himself?
how long does it take Peter to clean a room by himself is[tex]t = \frac{95+-5\sqrt{493} }{2}[/tex]
What does "rate" mean mathematically?
A rate is a unique ratio where the two words are expressed in several units.
Let Peter take time to clean 1 room be = t
Let Parker take time to clean 1 room be = t+15
Total Time taken by both to clean to room T= 110
Equation for total time taken to clean 2 room by both
[tex]\frac{1}{t} +\frac{1}{t+15} =\frac{2}{T}[/tex]
[tex]\frac{1}{t} +\frac{1}{t+15} =\frac{2}{110}[/tex]
By taking LCM
[tex]\frac{2t+15}{t^{2}+15} =\frac{1}{55}[/tex]
By cross multiplication in above equation
[tex]110t+825=t^{2} +15t[/tex]
[tex]t^{2}-95t-825=0[/tex]
Hence the answer is [tex]t = \frac{95+-5\sqrt{493} }{2}[/tex]
Learn More about Rate at
https://brainly.com/question/119866
#SPJ1
What is the domain of the function y=√x+6-7?
O x2-7
O x2-6
O x26
Ox27
The domain of the function is [ - 6 , ∞ ]
A radical function is the one provided.
It should be noted that a radical function can only be specified for values that will result in the radicand being larger than or equal to zero.
As a result, either the radicand of the provided function must be larger than or equal to zero, or:
Thus we can write it as
x + 6 ≥ 0
subtract 6 from both LHS and RHS
x + 6 - 6 ≥ 0 - 6
x ≥ - 6
Therefore the domain of the function is [ - 6 , ∞ ]
To know more about domain and function you may visit the link which is mentioned below:
https://brainly.com/question/13113489
#SPJ13
A chess board is made using the ratio of square length to king's height, 1.5 inches to 4.5 inches. If a chess board is made with a king's height of 2.25 inches, what is the length of the square?
0.75 inch
1.5 inches
2.25 inches
6.75 inches
The length of the square for the 2.25 inches King's height will be 0.75. The correct option is A.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that, a chessboard is made using the ratio of square length to the king's height, 1.5 inches to 4.5 inches. If a chessboard is made with a king's height of 2.25 inches.
The square length will be calculated as,
Square length / Kings Height = 1.5 / 4.5
Square length = (King's height x 1.5 ) / 4.5
Square length = ( 1.5 x 2.25 ) / 4.5
Square length = 0.75 inches
Therefore, the length of the square for the 2.25 inches King's height will be 0.75. The correct option is A.
To know more about an expression follow
https://brainly.com/question/29242846
#SPJ1
John can clean pools at a constant rate of \(\frac{3}{5}\)
pools per hour. How many pools can John clean in 10
hours?
Answer:
Step-by-step explanation:
3/5 pool/hr * 10hr = 6 pool
A plant manufactures part whose lengths are normally distributed with a mean of 16.3 centimeters and a standard deviation of 2.5 centimeters.
Question:
If one part is randomly selected, find the probability that the part is between 10.8 and 12.8 centimeters.
The probability that the plant manufactures a part between 10.8 and 12.8 centimeters 13%
How to find the probability that the part is between 10.8 and 12.8 centimetersThe probability is solved z scores, this measures the amount of standard deviation sample X is from mean. the formula is below
z = (X - μ) / σ
Definition of variables
mean, μ = 16.3 centimeters
standard deviation, σ = 2.5 centimeters
X = 10.8 and 12.8 centimeters
z score, z
substituting into the formula
for X = 12.8 centimeters
= (X - μ) / σ
= (12.8 - 16.3) / 2.5
= -1.4
the p value for z of -1.4 = 0.161513
for X = 10.8 centimeters
= (X - μ) / σ
= (10.8 - 16.3) / 2.5
= -2.2
the p value for z of -2.2 = 0.027807
the probability is calculated as below
0.161513 - 0.027807= 0.133706
= 0.13
=13%
Learn more about standard deviation at:
brainly.com/question/28948351
#SPJ1
290 to 490 percent increase how much did it increase
answer the answer is 200
Step-by-step explanation:
490-290
Evaluate the expression X - 2 + 2(4) - X when x =12
Answer: 6
Step-by-step explanation: You'll need to substitute x for 12 in the expression, which will be 12 - 2 + 2(4) - 12, and using BODMAS/BIDMAS/PEDMAS (or whatever you use), you should get 6 if you did it correctly.
Answer:
18
Step-by-step explanation:
using bodmas rule by working out brackets first
You rent a bicycle for 20 plus per hour. What is the rate of change
The rate of change for cost is = $2 per hour .
In the question ,
it is given that
the fixed rent for the bicycle is =$20
per hour charge of the bicycle is = $2
let the number of hours we rent a bicycle is = x
and let the total cost for renting the bicycle is = y
So , the equation to represent the cost becomes
y = 20 + 2x
to find the rate of change we differentiate the equation with respect to x .
we get
dy/dx = 2
Therefore , The rate of change is $2 per hour .
The given question is incomplete , the complete question is
You rent a bicycle for $20 plus $2 per hour. What is the rate of change of Cost ?
Learn more about Rate Of Change here
https://brainly.com/question/22701049
#SPj1
What is the answer for -3 > -2x + 7
?
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
−2x+7<−3Subtract 7 from both sides.
−2x<−3−7Subtract -7 from −3 to get −10.
−2x<−10Divide both sides by −2. Since −2 is negative, the inequality direction is changed.
[tex]x > \frac{ - 10}{ - 2} [/tex]Divide −10 by −2 to get 5.
x>585 POINTS + BRAINLEIEST PLEASE NEED THIS DONE SOON!
Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station.
The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task.
(1, 2), (2, 4), (3, 8), (4, 16)
Part A: Is this data modeling a linear function or an exponential function? Explain your answer. (2 points)
Part B: Write a function to represent the data. Show your work. (4 points)
Part C: Determine the average rate of change between day 2 and day 4. Show your work. (4 points)
A. The data modeling the relation is an exponential function.
B. The function is: y = 2^x.
C. The rate of change from x = 2 to x = 4 is of 4.
What is an exponential function?The definition of an exponential function is presented as follows:
[tex]y = ab^x[/tex]
In which the variables of the function are listed as follows:
a is the numeric value of the function when the input is of x = 0.b is the rate of change of the function, which is the constant by which y is multiplied when x is increased by one.From this data-set, when x increases by one, y is multiplied by 2, hence the rate of change is:
b = 2.
When x is increased by n, the rate of change is:
b^n = 2^n.
Hence, when x is increased by 2, from 2 to 4, in item c, the rate of change is:
2² = 4.
When x = 1, the output is the output at x = 0 multiplied by 2, hence the coefficient a of the function is given as follows:
a = 2/2 = 1.
Then the exponential function is:
[tex]y = 2^x[/tex].
A similar problem, also featuring exponential functions, is given at https://brainly.com/question/25537936
#SPJ1
Kadeesha has a toy car collection of 320 toy cars. She keeps 85% of the toy cars on her wall. How many toy cars does she keep on her wall
Answer:272
Step-by-step explanation:
please if you can help me that would be very apricated :)
Answer: b
Step-by-step explanation:
Use f(x) = 4x - 3 and g(x) = 5 - x2 to evaluate the expression.
(a)
(f o g)(x)
(b)
(g o f)(x)
A
The expression will be; part (a) (f o g)(-2) = 2 and part (b) (g o f)(-2) = -95
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given the functions as;
f(x)=4x-2
g(x)=5-x^2
We need to find (f o g)(-2)
So, first, we will find the function (f o g)(x) as follows:
[tex]\begin{gathered} \mleft(f\circ g\mright)(x)=f\lbrack g(x)\rbrack=4(5-x^2)-2 \\ (f\circ g)(x)=20-4x^2-2 \\ (f\circ g)(x)=18-4x^2 \end{gathered}[/tex]
Now, substitute with x = -2 then we get;
[tex](f\circ g)(-2)=18-4\cdot(-2)^2=18-4\cdot4=18-16=2[/tex]
Thus, the answer to the part is (a) (f o g)(-2) = 2
b) (g o f)(-2)
We need to find (g o f)(x) as follows:
[tex](g\circ f)(x)=g\lbrack f(x)\rbrack=5-(4x-2)^2[/tex]
Now Substitute with x = -2, then we get;
[tex]\begin{gathered} (g\circ f)(-2)=5-(4\cdot-2-2)^2 \\ =5-(-8-2)^2 \\ =5-(-10)^2 \\ =5-100 \\ =-95 \end{gathered}[/tex]
Thus, the answer to the part (b) is (g o f)(-2) = -95
To know more about an expression follow;
brainly.com/question/19876186
#SPJ1
I need the answer:’)
Answer:
its D
Step-by-step explanation:
calculator
12. Use the coordinate grid below to answer the question.
What are the coordinates of Point A?
Answer: (7, 12)
Step-by-step explanation:
The x-coordinate is 7.
The y-coordinate is 12.
Thus, the coordinates are (7, 12).
Parallel Lines relay race page C
Can someone lmk the answers
The value of the angle regarding the parallel lines are:
1. x = 14
2. x = 9
3. x = 17
4. x = 5
How to calculate the values?1. Lines 'l' and 'm' are the parallel lines and a transversal line is intersecting these lines.
(9x + 13)° = (12x - 29)° [Alternate interior angles]
9x - 12x = -29 - 13
-3x = -42
Divide
x = 14
2). By substituting x = 14 in the box.
(13x + 5)° + (8x - 14)° = 180° [Consecutive interior angles]
21x - 9 = 180
21x = 189
Divide
x = 189/21
x = 9
3). By placing x = 9 in the box,
(5x + 52)° = (9x - 16)° [Corresponding angles]
5x - 9x = -52 - 16
-4x = -68
x = 17
4). By placing x = 17 in the box,
(10x + 17)° = (12x + 7)° [Alternate exterior angles]
10x - 12x = -17 + 7
-2x = -10
x = 5
Learn more about parallel lines on:
https://brainly.com/question/24607467
#SPJ1
1. Use the picture to answer the following questions.
2. Find the missing value(s) in the ratio table.
The ratio of snakes to frogs is 1 : 2.
The ratio of frogs to animals is 2 : 3.
If 3 more snakes are added, the number of frogs that should be added to keep the ratio constant is 6.
Here are the completed tables:
TVs 2 4 6
Computers 7 14 21
Trumpets 10 5 20 25
Drums 8 4 16 20
Books 0 40 100
Boxes 0 2 5
What are the ratios?Ratio expresses the relationship between two or more numbers. It is the number of times that one value is contained within other value(s).
The ratio of snakes to frogs can be determined by counting the number of snakes and frogs.
Number of snakes = 4
Number of frogs = 8
The ratio of snakes to frogs - 4 : 8 = 1 : 2
The ratio of frogs to animals = number of frogs : number of animals = 8 : 12 = 2 : 3.
Number of snakes if 3 more are added = 4 + 3 = 7
Ratio of snakes to frogs - 1 : 2
Number of frogs that would keep the ratio constant = 7 x 2 = 14
Number of frogs that should be added = 14 - 8 = 6
To learn more about ratios, please check: https://brainly.com/question/25927869
#SPJ1
Part 1 of 2
Find the numerical value of the rational expression when x = 2 and x = -3.
11x+6
2
2x + 28x + 48
Answer:
28, -27, 108, -42
Step-by-step explanation:
when x=2, 11x+6 = 22+6=28,
2x+28x+48= 30x+48=60+48=108
when x=-3, 11x+6 = -33+6=-27,
2x+28x+48= 30x+48=-90+48=-42
Answer:
I got 28, -27, 108, and -42. See explanation for the answer for which problems
Step-by-step explanation:
11x + 6 = ?
2x + 28x + 48 = ?
x = 2 and x = -3
Let's start with the first equation
Using x = 2
11(2) + 6 = ?
22 + 6 = 28
Using x = -3
11(-3) + 6 =?
-33 + 6 = -27
Second equation
Using x = 2
2(2) + 28(2) + 48 = ?
4 + 56 + 48 = 108
Using x = -3
2(-3) + 28(-3) + 48 = ?
-6 - 84 + 48 = -42
What is the probability of rolling a number less than or equal to 3 on a standard six-sided die
The probability of rolling a number that is less than 3 is P = 1/2.
How to find the probability?
A standard six-sided die has the following outcomes:
{1, 2, 3, 4, 5, 6}
The outcomes that are less than or equal to 3 are:
{1, 2, 3}
Assuming all the outcomes have the same probability, the probability of rolling a number less than or equal to 3 on a standard six-sided die will be equal to the quotient between the number of outcomes that meet the condition and the total number of outcomes.
It will give:
P = 3/6 = 1/2 = 0.5
Learn more about probability:
https://brainly.com/question/25870256
#SPJ1