Here the total amount of the juice is 24 ounces. Diego poured equal amounts to his three friends. But that equal amount is unknown. Then he add 6 to each that is represented by x +6. Hence, the x is the initial amount poured to each three friends.
What is polynomial expression ?A polynomial expression is composed of some coefficients and indeterminants that involves basic basic arithmetic operations. Where the indeterminants or unknowns are basically represented by the letters x or y.
Here, Diego has 24 ounces of juice. He pours equal amounts of juice to his three friends. The mount he poured to each friends is unknown here. Hence, let it be x.
Then, he added 6 more ounces to each these x quantity that is represented by x + 6. Now, 3 friends have this x + 6 ounces of juice then total equals 24.
i.e, 3 (x + 6) = 24
3x +18 = 6
3x = 24- 18 = 6
x = 6/3 = 2.
Hence, here, x represents that Diego poured initially to each friends before adding 6 more ounce.
Find more on polynomial expressions:
https://brainly.com/question/14421783
#SPJ5
Final answer:
In the story problem, x represents the initial amount of juice in ounces (2 ounces) that Diego pours for each of his three friends before adding an additional six ounces to each.
Explanation:
In the given story problem, x represents the initial amount of juice in ounces that Diego pours for each of his three friends before adding six more ounces to each. To understand what x represents, let's explore the equation 3(x + 6) = 24. This equation tells us that Diego has 24 ounces of juice in total, which is then divided equally among his three friends and after the division, he adds six more ounces to each friend's portion.
Now, if we follow the equation 3(x + 6) = 24 and solve for x, we find that:
Multiply each side of the equation by 1/3 to isolate the term with x, yielding x + 6 = 8.Then, subtract 6 from each side to solve for x, resulting in x = 2.This means that Diego initially pours 2 ounces for each friend and then adds 6 ounces to each, totaling 8 ounces for each friend.
what is the inverse of the function below f(x) =x/5 -2
Answer:
[tex]y=5x+10[/tex]
Step-by-step explanation:
[tex]f(x)=\frac{x}{5} -2[/tex]
To find the inverse of the function we do the following steps
Replace f(x) with y
[tex]y=\frac{x}{5} -2[/tex]
Replace y with x and x with y
[tex]x=\frac{y}{5} -2[/tex]
Solve the equation for y
Add 2 on both sides
[tex]x+2=\frac{y}{5}[/tex]
Now multiply by 5 on both sides
[tex]5(x+2)=y[/tex]
Now distribute 5 inside the parenthesis
[tex]5x+10= y[/tex]
[tex]y=5x+10[/tex]
What is the area of this trapezoid, I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER! URGENT WORTH 90PTS
how do you convert minutes to seconds
A coffeepot contains 1 1⁄2 quarts of coffee. After Tonya pours an equal amount of coffee into two cups, 3 1⁄2 cups of coffee remain in the pot. How much coffee did Tonya pour into each cup?
The correct answer is:
1 1⁄2 qt = 6 cups
6 cups - 3 1⁄2 cups = 2 1⁄2 cups = 20 oz
20 oz ÷ 2 = 10 oz = 1 cup + 2 oz
A pedigree chart is used to?
(50 POINTS)
A table of values for Function A and the graph of Function B are shown. State the slope of Function B
Answer:
bruh it's only 5 points
what is the length of the hypotenuse of a right triangle with sides that measure 5 in. and 12 in
Pe ling needs 2 yard of fabric for a craft project. She has 3 feet already. How many inches of fabric does she still need ?
Does anyone know these answers
These data show the age in years of 9 members of the youth orchestra.
12 14 16 17.5 10 18 15 15.5 19
What is the IQR (interquartile range) for these data?
4.75
9.00
15.50
17.75
Hey there!
the answer is 4.75.
4.75 is the IQR for the data
Hopes this helps u :)
Answer:
[tex]IQR=4.75[/tex]
Step-by-step explanation:
The given data is:
12,14,16,17.5,10,18,15,15.5,19
In order to find the interquartile range, we have to arrange the given data set in ascending order, thus
10, 12, 14, 15, 15.5, 16, 17.5, 18, 19
Now, the lower quartile is: 10, 12, 14, 15
Median is given as:
[tex]M=\frac{14+16}{2}=\frac{26}{2}=13[/tex]
And the upper quartile is given as:
16, 17.5, 18, 19
Median is given as:
[tex]M=\frac{17.5+18}{2}=17.75[/tex]
thus, the Interquartile range is given as:
[tex]IQR=Upper quartile-Lower quartile[/tex]
[tex]IQR=17.75-13[/tex]
[tex]IQR=4.75[/tex]
I am a solid figure with two congruent polygons that are based connected with lateral faces that are rectangles
The width of a rectangle is half its length. What if the perimeter of a rectangle with width 26 feet?
A. 39 feet
B. 52. feet
C. 78 feet
D. 156 feet
Answer:
The answer is B. 52. feet
Step-by-step explanation:
26 times (X) 2 = 52. feet because;
26 + 26 = 52
Final Answer:
B. 52. feet
Extra:
Please give brainlest!
30 yards of fabric is needed to make 10 dresses.The fabric roll is stamped 1200 inches .How many yards do you have
8 to the thrid power
WILL GIVE BRAINLIEST AND RATE!
Michael is making cookies. Each batch uses 2 cups of flour. He plans to use less than 30 cups of flour for cookies so that he has enough left to make muffins. He has already used 4 cups of flour for cookies.
Which statement describes how many more batches of cookies Michael can make?
A. Michael can make fewer than 13 batches of cookies.
B. Michael can make fewer than 14 batches of cookies.
C. Michael can make fewer than 15 batches of cookies.
D. Michael can make fewer than 26 batches of cookies.
Answer:
A
Step-by-step explanation:
Keelahs clothing store buys coats for $50 and then sells them for $80. What is the percent markup on the price of the coat.
The percent markup is 60%
Work is attached in the image provided.
Each dance class is 3/4 hour it takes a student 7 1/2 hours to learn a dance routine which statement is true a (a) student needs to take a 6 dance class to learn the routine) (b) student needs to take five dance classes to learn this routine see a student needs to take 9 dance classes to learn the routine) or (d) a student needs to take 10 dance classes to learn the routine)
The time taken by to students to learn the dance routine is 7.5 hours, and the value of 7.5 hours is 450 minutes. Hence, students needs to take 10 dance classes to learn the routine.
Given information:
The dance class is having the time 3/4 hour, and the value of 3/4 hour is 45 minutes.
The time taken by to students to learn the dance routine is 7.5 hours, and the value of 7.5 hours is 450 minutes.
According to the question,
The number of classes [tex]N[/tex] students have to attend to learn a dance routine can be written as,
[tex]N=\dfrac{450}{45}\\N=10[/tex]
Hence, from the above calculation one can conclude that, students needs to take 10 dance classes to learn the routine.
For more information visit:
https://brainly.com/question/19389526
Quadrilateral MNPQ has vertices at (−3, 5), (−4, 6), (−5, 7), and (−6, 8). If the Quadrilateral MNPQ is reflected over the x−axis, what will the new coordinates be?
(3, 5), (4, 6), (5, 7), (6, 8)
(5, −3), (6, −4), (7, −5), (8, −6)
(−3, −5), (−4, −6), (−5, −7), (−6, −8)
(3, −5), (4, −6), (5, −7), (6, −8)
Hello there!
The answer is D.
A geometric sequence has a growth factor of 0.85 and an initial starting value greater than 0 which of the following values will be the greatest ? The 10th term , the 5th term, the 2nd term, not enough info
The line plot above shows the distance in miles Luna runs each day. What is the difference in distance between the fewest miles she ran and the most miles she ran in a day?
A) 2 1/2
B) 3
C) 4
D) 1/2
What is the d in 3.5d=70
When are two triangles said to be in perspective?
a.
If the corresponding vertices of two triangles form three lines that intersect in a single point
c.
If the corresponding vertices of four triangles form three lines that intersect in a single point
b.
If the corresponding vertices of three triangles form three lines that intersect in a single point
d.
If the corresponding vertices of two triangles form three lines that intersect in two points.
A cone - shaped building has a height of 6 meters and a base with a diameter of 10 meters. The building will be filled with road salt that costs $25 per cubic meter. How much will it cost to fill the building with road salt? Use 3.14 for π Round to the nearest hundredth HELP ME ASAP!!!!
Find the magnitude and direction of the vector. Round the length to the nearest tenth and the degree to the nearest unit. Diagram is not drawn to scale.
The graph of the equation y = x2 - 3 is shown. Which equation will shift the graph up 6 units?
A) y = x2 + 3
B) y = x2 - 6
C) y = x2 + 6
D) y = (x + 6)2
In this exercise we have to use the knowledge of quadratic equations and graphs to identify the correct alternative, so we have;
Letter A
Remembering what a quadratic function looks like and its form:
[tex]y=x^2[/tex]
where X is the quadratic form, we know that we see that in the graph we have to go down 3 units, we can write it as follows:
[tex]y=x^2+3[/tex]
See more about quadratic functions at brainly.com/question/4119784
Need help with pythgoream theorem
A student claims that the equation y = 7 is not a linear equation because it does not have the form y = mx + b. Do you agree or disagree? Why? Complete the explanation.
The equation...... be written in the form y = mx + b, and the graph of the solution is a...... . So, I ...........
Quadrilateral ACEG≅Quadrilateral PRMN
Which statement is true?
EG≅MN
AC≅MR
AG≅MP
CE≅NP
Answer:
a
Step-by-step explanation:
EG≅MN
The bus travels 3 hours going 35 miles per hour. How far does the bus travel in that amount of time? *
I need help with this work sheet in algebra 2 I need some understanding can someone please help me?