Answers
Answer:
∠A ≅ ∠D, ∠B ≅ ∠E, ∠c ≅ ∠F, AB = DE, BC = EF, AC = DF
Step-by-step explanation:
Given that triangles ABC and DEF are congruent. Now we need to choose correct congruency statements from the given choices.
We know that corresponding angles of congruent triangles are equal so we can write:
∠A ≅ ∠D
∠B ≅ ∠E
∠c ≅ ∠F
We know that corresponding sides of congruent triangles are equal so we can write:
AB = DE
BC = EF
AC = DF
comparing these with given choices we see that, First choice is correct.
Related Questions
Find the coordinates of the midpoint of the segment whose endpoint are H(9,4) and K(7,2)
Answers
[tex]\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ H(\stackrel{x_1}{9}~,~\stackrel{y_1}{4})\qquad K(\stackrel{x_2}{7}~,~\stackrel{y_2}{2}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{7+9}{2}~~,~~\cfrac{2+4}{2} \right)\implies (8,3)[/tex]
From 19801980 to 20002000, the annual profit of a company was determined by subtracting from \$625{,}000$625,000 the product of \$25{,}000$25,000 and the number of years either before or after 19901990. Which of the following equations below could be used to determine in which year, xx, the profit was \$550{,}000$550,000?
a.550−25∣x−1990∣=625
b.625 - 25 | x - 1990 | = 550625−25∣x−1990∣=550
c.625 +25 | x - 1990 | = 550625+25∣x−1990∣=550
d.625 +25 | x + 1990 | = 550625+25∣x+1990∣=550
Answers
Answer: b) 625 - 25 |x - 1990| = 550
Step-by-step explanation:
According to the question,
The annual profit of a company was determined by subtracting from $625,000 the product of $25,000 and the number of years either before or after 1990.
That is, On x year the total profit is,
P(x) = 625,000 - 25,000 |x - 1990|
But again according to the question,
On x years the profit is $ 550,000
Thus, 625,000 - 25,000 |x - 1990| = 550,000
⇒ 625 - 25 |x - 1990| = 550 ( by dividing both sides by 1000)
Therefore, Option b) is correct.
The correct equation for determining the year when the profit was $550,000 is 625 - 25 | x - 1990 | = 550, where x represents the year, option B.
The annual profit of the company can be determined by the equation that subtracts the product of a certain amount ($25,000) and the number of years before or after 1990 from $625,000. If we are given that the profit was $550,000 in year x, we need to find the value of x that satisfies this condition. We will represent the difference in years as the absolute difference from 1990, which accounts for years before and after 1990 equally.
The correct equation based on this would be the one that represents the profit ($550,000) after subtracting the product of $25,000 and the absolute difference in years from $625,000. Thus, the correct equation should subtract from $625,000 (not add to it), and it should involve the absolute value of x - 1990 to denote the number of years before or after 1990.
The equation that fits these criteria is:
625 - 25 | x - 1990 | = 550
Here, when we solve for x, we're trying to find the year in which the profit was $550,000. Therefore, option (b) is the correct choice.
Mr. Ramirez receives 4 sets of books each set has 16 fiction books and 14 nonfiction books he puts 97 books in his lilbarry and donates the rest how many books does he donate
Answers
Mr. Ramirez donates 23 books.
Explanation:To find the number of books that Mr. Ramirez donates, we first need to calculate the total number of books he receives. Since each set has 16 fiction books and 14 nonfiction books and he receives 4 sets, the total number of books he receives is 4 sets * (16 fiction books + 14 nonfiction books) = 4 * (16 + 14) = 4 * 30 = 120 books.
Since Mr. Ramirez puts 97 books in his library, he donates the remaining books. To find the number of books he donates, we subtract the number of books he keeps from the total number of books he receives: 120 books - 97 books = 23 books.
Therefore, Mr. Ramirez donates 23 books.
Learn more about Number of books donated here:https://brainly.com/question/7392128
#SPJ12
Mr. Ramirez donates 23 books.
Explanation:To find out how many books Mr. Ramirez donates, we need to first calculate how many books he receives in total.
Each set has 16 fiction books and 14 nonfiction books, so each set contains 16 + 14 = 30 books.
Since Mr. Ramirez receives 4 sets, he receives a total of 4 x 30 = 120 books.
We know that Mr. Ramirez keeps 97 books in his library, so he donates the rest.
To find out how many books he donates, we subtract the number of books kept from the total number of books received:
120 - 97 = 23 books.
Learn more about Donation of books here:https://brainly.com/question/15502833
#SPJ12
A school board has determined that there should be 4 teachers for every 50 students. How many teachers are needed for an enrollment of 2,650 students?
Answers
4:50
x:2650
2650/50=53
Answer:
212 teachers are needed for an enrollment of 2,650 students.
Step-by-step explanation:
This is a kind of question that can be solved using proportions.
Proportions are used when we are asked about finding one unknown value, knowing the value of others that keep a ratio among all of them, including the unknown value.
In this case, we know that a school board estimated that 4 teachers are needed for every 50 students:
[tex]\\ \frac{4_{teachers} }{50_{students}}=ratio[/tex]
If we divide 4 teachers by 50 students, we obtained a ratio, or a constant relationship that remains between teachers and students, that is, how many teachers are needed for the number of students, or more generally "how many times the first number contains the second" [Wikipedia, 2019].
We can also notice that more students require more teachers (which is a relation of direct proportionality), that is, if we require more students, more teachers are also required in the same ratio or constant already mentioned.
Then, we can make a proportion among these values because they keep the same ratio of teachers to students (but can also be students to teachers).
So, we can pose the following question:
If four (4) teachers are needed for every 50 students, how many teachers are needed to attend 2,650 students? Then,
[tex]\\ \frac{4_{teachers}}{50_{students}} = \frac{X_{teachers}}{2650_{students}} [/tex] = the same ratio or constant.
To know the amount of teachers needed for 2,650 students:
[tex]\\ X_{teachers} = \frac{2650_{students} * 4_{teachers} }{50_{students}}[/tex].
or,
[tex]\\ X_{teachers} = \frac{2650 * 4_{teachers} }{50}[/tex].
[tex]\\ X_{teachers} = 212_{teachers}[/tex].
So, for an enrollment of 2,650 students there should be 212 teachers, according to the ratio (teachers/students) previously determined by the school board.
This is a very difficult question. In △PQR, point T is on side QR such that QT=6 and TR=10. What is the ratio of the area of △PQT to the area of △PTR. Help please
Answers
Answer:
the ratio of the area is 3:5
Step-by-step explanation:
Find a common factor of 6 and 10 and then divide it, the common factor is 2
6 divided by 2 is 3
10 divided by 2 is 5
so your ratio area is 3:5
Hope this helps :)
Simplify. 4x^2-x/16x^2-1
Answers
[tex]\dfrac{4x^2-x}{16x^2-1}=\dfrac{x(4x-1)}{(4x)^2-1^2}\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=\dfrac{x(4x-1)}{(4x-1)(4x+1)}=\dfrac{x}{4x+1}\\\\Answer:\ \boxed{\dfrac{4x^2-x}{16x^2-1}=\dfrac{x}{4x+1}}[/tex]
By simplifying (4x ² - x ) / (16 x² -1) we get :
= x / 4x + 1 .
Explain simplification?Simplifying an expression is the same as solving a math problem. When you simplify an expression, you are attempting to write it in the simplest possible manner. There should be no more adding, subtracting, multiplying, or dividing to do at the end.The basic rules and steps for simplifying any algebraic expression are as follows:
By multiplying factors, you can get rid of any grouping symbol, such as brackets and parentheses.If the terms contain exponents, use the exponent rule to remove grouping.By adding or subtracting like terms, you can combine them.Add the constants together.Given equation, (4x ² - x ) / (16 x² -1)
Factorize 4x² - x ,
= x ( 4x - 1) / 16x² - 1
factorize 16x² -1,
= x (4x - 1) / (4x + 1 ) (4x - 1 )
By cancelling common factor 4x - 1,
= x / 4x + 1
Simplifying (4x ² - x ) / (16 x² -1) = x / 4x + 1 .
To learn more about simplification refer to :
https://brainly.com/question/723406
#SPJ2
Ms. Miller wants to give each of her students 1/4 of a pound of modeling clay. She has 26 students. How many pounds of modeling clay does she need?
A) 6
1
2
B) 8
3
4
C) 13
D) 26 what the answer
Answers
Answer:
she give each kid about 6
Step-by-step explanation:
26/.25=104
104/16= 6.5
please help on this ? :)
Answers
find the value of x.
a) 10
b) 5
c) 6
d) 3
Answers
Answer:
x=5.
Step-by-step explanation:
set 7x-4=31 and solve.
Answer:
B)
X=5
Step-by-step explanation:
7x-4=31
+4 on both sides
7x=35
divide by 7 on both sides
x= 5
At a heavy duty snow shovel was marked down by $6.00. The local sport committee purchased 3 shovels. The sale did not go well and the store owner made a new sal price by taking 1/3 off the original price.The sport committee purchased 3 more shovels. The total cost of the purchase was $102.00
Use the information to write an equation to calculate the original price if the shovel.
Answers
Answer:
The original price was $26.40
Step-by-step explanation:
Set up the equation(s) for this situation. The total price was for six shovels, three of which were discounted by 33.3% from the initially marked-down price X:
$102 = 3 * (X-$6) + 3 * ((X-$6) * (2/3))
102 = 3X - 18 + 3 * (2/3) * X - 3 * (2/3) * 6
102 = 5X - 30
X = $26.40
If ?ABC and ?XYZ are similar, which must be true? A) BC YZ = AC YX B) BC YZ = BA XZ C) AC XZ = BC YZ D) AC XZ = BA XZ
Answers
Answer:
The correct option is C.
Step-by-step explanation:
Let triangle ABC and XYZ are similar.
If two triangles are similar, then ratio of their corresponding sides are same.
Since ABC and XYZ are similar, therefore sides AB, BC and AC are corresponding to the sides XY, YZ and XZ respectively.
[tex]\frac{AB}{XY}=\frac{BC}{YZ}=\frac{AC}{XZ}[/tex]
From the above equation we can conclude that
[tex]\frac{BC}{YZ}\neq \frac{AC}{YX}[/tex]
[tex]\frac{BC}{YZ}\neq \frac{BA}{XZ}[/tex]
[tex]\frac{AC}{XZ}\neq \frac{BA}{XZ}[/tex]
Therefore option A,B and D are incorrect.
Answer: BC/YZ = AC/XZ
Step-by-step explanation:
Remember the end letters need to be the same. So if you look at your choices this is the only one that is in order BC AC
YZ XZ
took the test
What binomial do you have to add to the polynomial x^2+y^2–2xy+1 to get a polynomial: not containing the variable x
Pls Help me!
Answers
Answer:
Add [tex]-x^2+2xy[/tex]
Step-by-step explanation:
The polynomial [tex]x^2+y^2-2xy+1[/tex] can be added to eliminate the x terms by adding the additive inverse. We add [tex]-x^2+2xy[/tex] which has the inverse sign value of the polynomial terms.
[tex](x^2+y^2-2xy+1)+(-x^2+2xy)[/tex]
[tex]x^2-x^2+y^2-2xy+2xy+1[/tex]
When we simplify, this leaves [tex]y^2+1[/tex] without an x term.
Answer:
-x^2+2xy
Step-by-step explanation:
x^2 + y^2 -2xy + 1 +something = y^2 +1
This will get rid of the x and x^2 terms
Subtract y^2 from each side
x^2 + y^2 -y^2 -2xy + 1 +something = y^2-y^2 +1
x^2 -2xy+1 +something = 1
Subtract 1 from each side
x^2 -2xy+1 -1+something = 1-1
x^2 -2xy+something = 0
Subtract x^2 from each side
x^2 -x^2 -2xy+something = 0-x^2
-2xy+something = -x^2
Add 2xy to each side
2xy -2xy+something = -x^2+2xy
something = -x^2+2xy
We need to add -x^2+2xy
Remember a binomial is 2 terms
Hendrick wants to enlarge a photo that is 4 inches wide and 6 inches tall. The enlarged photo keeps the same ratio. How y'all is the enlarged photo if it is 12 inches wide?
Answers
Answer:
Step-by-step explanation:
Alright, lets get started.
The original photo size is 4 inches wide and 6 inches tall.
So, the ratio of width and height will be = [tex]\frac{4}{6}=\frac{2}{3}[/tex]
The new enlarged photo will be of the same ratio means 2:3
The width of enlarged photo is given as 12 inches.
Suppose new height of enlarged photo is H, so
[tex]\frac{12}{H}=\frac{2}{3}[/tex]
Cross multiplying
[tex]2H=36[/tex]
Dividing 2 in both sides
[tex]H=18[/tex] inches
So the height of new enlagred photo will be 18 inches. : Answer
Hope it will help :)
At a company fish fry, 1/2 in attendance are employees. Employees’ spouses are 1/3 of the attendance. What is the percentage of the people in attendance who are NOT employees or employee spouses?
SHOW WORK
Answers
Answer:At a company fish fry, 1/2 in attendance are employees.
Employees’ spouses are 1/3 of the attendance. What is
the percentage of the people in attendance who are not
employees or employee's spouses?
One half of X are employees.
One third of X are employee's spouses.
Step-by-step explanation:1/2 + 1/3 = 3/6 + 2/6 = 5/6
Then we subtract that fraction from one whole, or 1,
to see what fraction is left. That is, we say
1 minus 5/6
which is
1 - 5/6
Now write 1 as 6/6
6/6 - 5/6
We get 1/6
So 1/6 is left. Now we need to make that into
a percent by multiplying it by 100 and tacking on a "%"
1/6 × 100
1/6 × 100/1
100/6
50/3
16 2/3 %
So 16 2/3 % of the people in
attendance are neither employees
nor employee's spouses.
Now let's check:
1/2 are employees. That's 50%
1/3 are wmployee's spouses. That's 33 1/3%
15 2/3 % are neither employees nor employee's spouses.
Add them up
50 %
33 1/3 %
16 2/3 %
--------
99 3/3 %
And 99 3/3% = 100%
16.67% of the people in attendance are neither employees nor their spouses.
To calculate the percentage of people who are neither employees nor their spouses, we need to consider the total attendance as 100%. Since half of the attendance, i.e., 50%, are employees and one third, i.e., about 33.33%, are spouses, we add these figures to find the combined percentage of employees and spouses. We then subtract this combined percentage from 100% to find the percentage of people who are neither.
Combined percentage of employees and spouses: 50% (employees) + 33.33% (spouses) = 83.33%
Now, to find the percentage who are neither employees nor spouses, we subtract the combined percentage from 100%:
Percentage of neither: 100% - 83.33% = 16.67%
Therefore, 16.67% of the people in attendance are neither employees nor their spouses.
Brenda drove 3times as far as Jan Brenda drove 24 more miles than Jan how far did Jan drive
Answers
Jan drove 8 miles
How much does a length of aluminum expand if it is 1.2 meters long at 15 degrees c and heated to 65 degrees c
Answers
a = 23 × 10^(-6) K^(-1)
L = 1.2 m
∆T = 65°C - 15°C = 50 °C = 323.15 K
∆L = 23 × 10^(-6) × 1.2 × 323.15 m
∆L = 8.91894 × 10^(-3) m
Which inequality is represented by this graph? Also, if someone could tell me how this works that would be great :D
Answers
Answer:
y > -1/6 x+1
Step-by-step explanation:
The graph line is dotted. Dotted lines means greater than or less than. ( <, >)
Solid lines means less than or equal to or greater than or equal to (≤,≥)
Since the graph is shaded above the line, that means y is greater than the line. If it were shaded below the line, y would be less than.
y > -1/6 x+1
the linear regression equation for a data set is y=-2.8x+70.8 where y is the temperature in degrees fahrenheit and x is the number of hours since 8am.what does the slope of the equation represent?
Answers
Step-by-step explanation:
We have been given the linear regression equation for a data set is y=-2.8x+70.8 where y is the temperature in degrees Fahrenheit and x is the number of hours since 8 am.
We can see that our given line is in slope-intercept form: [tex]y=mx+b[/tex], where, m = Slope of line and b = y-intercept.
Upon comparing our given equation with slope intercept form we can see that the slope of the equation (m) is -2.8. The slope represents that temperature is dropping at a rate of 2.8 Fahrenheit per hour after 8 am.
An experiment consists of randomly selecting a marble from a bag, keeping it, and then selecting another marble. The bag contains 4 blue marbles, 3 green marbles, 7 red marbles, and 1 yellow marble. What is the probability of selecting a red marble and then a blue marble? SHOW ALL WORK!
Answers
Answer:
2/15
Step-by-step explanation:
How many marbles are in the bag
4blue + 3 green + 7 red + 1 yellow = 15 marbles
On the 1st draw:
red/total = 7/15
Since we keep the marble, there are only 14 marbles left
4blue + 3 green + 6 red + 1 yellow = 14
On the 2nd draw:
blue/total = 4/14 = 2/7
To find the probability of the two draws, we multiply them together
1st draw * 2nd draw
7/15 * 2/7 = 2/15
It's costs $35 per hour to rent a boat at the lake you also need to pay a $25 fee for safety equipment you have $200 for how long can you rent the boat
Answers
Answer: 5 hours
Step-by-step explanation:
$35 per hour is the rate
$25 is the flat fee
$200 is the maximum you can spend
⇒ 35x + 25 ≤ 200
-25 -25
35x ≤ 175
÷35 ÷35
x ≤ 5
write the first five terms of the geometric sequence with a1=-2 and common ratio r=-5/2
Answers
Answer:
option D
Step-by-step explanation:
First term is -2
common ratio = -5/2
To get second term we multiply first term -2 by common ratio -5/2
[tex]-2 * \frac{-5}{2} =\frac{10}{2} = 5[/tex]
To get third term we multiply second term 5 by common ratio -5/2
[tex]5 * \frac{-5}{2} =\frac{-25}{2}[/tex]
To get fourth term we multiply third term -25/2 by common ratio -5/2
[tex]\frac{-25}{2}*\frac{-5}{2} =\frac{125}{4}[/tex]
Option D is correct
The first five terms of the geometric sequence with a first term of -2 and a common ratio of -5/2 are -2, 5, -12.5, 31.25, and -78.125.
To find the terms of a geometric sequence, we start with the first term and multiply each subsequent term by the common ratio. In this case, the first term, a1, is -2 and the common ratio, r, is -5/2.
The first term (a1) is -2
The second term (a2) is -2*(-5/2) = 5
The third term (a3) is 5*(-5/2) = -12.5
The fourth term (a4) is -12.5*(-5/2) = 31.25
The fifth term (a5) is 31.25*(-5/2) = -78.125
Therefore, the first five terms of the sequence are -2, 5, -12.5, 31.25, and -78.125.
For more such questions on geometric sequence, click on:
https://brainly.com/question/34721734
#SPJ6
Hello!! This is a A-F question, so it's kind of long, but I will definitely be making it worth your time if you could help me out with it!
Thank you so much :)
(Reporting any wrong answers so please don't post them!!)
Answers
Answer:
Please, see the attached files.
Step-by-step explanation:
Please, see the attached files.
Thanks.
PLEASE NEED HELP ASAP WILL GIVE 50 POINTS
What is the value of x?
Enter your answer in the box.
x =
Answers
Answer: x = 3
Those angle markings tell us that all three angles are the same measure (60 degrees). So this is an equilateral triangle with each side congruent to each other.
Pick 2 sides, equate the expressions, solve for x. I'm going to pick AB and AC to work with
AB = AC
6x - 3 = 3x+6
6x-3x = 6+3
3x = 9
x = 3
----------
This works with any pair of sides, such as AC and BC
AC = BC
3x+6 = 5x
6 = 5x-3x
6 = 2x
2x = 6
x = 3
----------
and let's do the last one to be complete (it's optional)
AB = BC
6x-3 = 5x
6x-5x = 3
x = 3
Either way, we get the same result each time.
Which table shows a proportional relationship between x and y?
x 3 9 10 15
y 1 3 4 5
x 4 6 8 10
y 6 8 10 12
x 1 5 8 10
y 15 75 120 150
x 2 3 5 6
y 3 4 7 9
Answers
Answer:
the third table listed here
Step-by-step explanation:
A "proportional" relationship has the same y/x ratio for all values of x and y.
... first table: all entries but one have y/x = 1/3. The 3rd entry has y/x = 0.4—not the same.
... second table: 6/4 ≠ 8/6
... third table: all entries reduce to y/x = 15
... fourth table: 3/2 ≠ 4/3
what is the measure of each exterior angle of a regular octagon is ___ the measure of each exterior angle of a regular hexagon.
A- Greater than
B- Less than
C- Equal to
Answers
E = 360/n
is the formula to use when computing the exterior angle E for any regular polygon with n sides. For an octagon, we have 8 sides meaning n = 8 leads to
E = 360/n = 360/8 = 45
The exterior angle of a regular octagon is 45 degrees
Repeat for n = 6 (hexagon) to get E = 360/n = 360/6 = 60. A regular hexagon has exterior angles of 60 degrees each.
We see that the regular octagon's exterior angles (45) are smaller than the regular hexagon's exterior angles (60)
-------------------------------------------
Answer: less than (choice B)
Final answer:
The measure of each exterior angle of a regular octagon is less than the measure of each exterior angle of a regular hexagon since the sum of the exterior angles is always 360 degrees and there are more sides on an octagon to divide this sum. The correct option is: B- Less than
Explanation:
To determine whether the measure of each exterior angle of a regular octagon is greater than, less than, or equal to the measure of each exterior angle of a regular hexagon, we must first understand how to calculate the measure of an exterior angle in a regular polygon. The sum of the exterior angles of any polygon is always 360 degrees, regardless of the number of sides. Therefore, to find the measure of a single exterior angle, you would divide 360 degrees by the number of sides the polygon has.
For a regular hexagon, which has six sides, the exterior angle is calculated as 360 ÷ 6, which equals 60 degrees. For a regular octagon, which has eight sides, the exterior angle is calculated as 360 ÷ 8, which equals 45 degrees.
Comparing the two measurements, we can clearly see that the measure of each exterior angle of a regular octagon is less than the measure of each exterior angle of a regular hexagon.
I need help with this question 15 points
Answers
Answer:
Third option
Step-by-step explanation:
You are correct, right angle forms a 90°
Hope that helps
Answer:
The third option.
Step-by-step explanation:
The first option is acute becuase the angle is less that 90 degrees.
The second options is obtuse because it is more than 90 degrees.
The third option is a right angles becuase it makes an 90 degree angle.
The fourth option is also obtuse because it is more than 90 degrees.
Find the 10th partial sum of the arithmetic sequence defined by
Answers
Answer:
22.5
Step-by-step explanation:
If you expand the series, you can see the first few terms of the series:
Putting 1 in [tex]n[/tex], [tex]\frac{1}{2}(1)-\frac{1}{2}=0[/tex]Putting 2 in [tex]n[/tex], [tex]\frac{1}{2}(2)-\frac{1}{2}=0.5[/tex]Putting 3 in [tex]n[/tex], [tex]\frac{1}{2}(3)-\frac{1}{2}=1[/tex] Putting 4 in [tex]n[/tex], [tex]\frac{1}{2}(4)-\frac{1}{2}=1.5[/tex]We can see the series is 0, 0.5, 1, 1.5, ....
This is an arithmetic series with common difference (the difference in 2 terms) 0.5 and first term 0.
We know formula for sum of arithmetic series:
[tex]s_{n}=\frac{n}{2}(2a+(n-1)d)[/tex]
Where,
[tex]S_{n}[/tex] denotes the nth partial sum[tex]a[/tex] is the first term (in our case it is 0)[tex]n[/tex] is the term (in our case it is 10 since we want to find 10th partial sum -- sum until first 10 terms)[tex]d[/tex] is the common difference (difference in term and the previous term) (in our case it is 0.5)Substituting these into the formula, we get the 10th partial sum to be:
[tex]s_{10}=\frac{10}{2}(2(0)+(10-1)(0.5))\\s_{10}=5(0+(9)(0.5))\\s_{10}=5(0+4.5)\\s_{10}=5(4.5)\\s_{10}=22.5[/tex]
So the sum of the first 10 terms is 22.5. Third answer choice is right.
Answer is 22.5 so c :)
A company manufactured 1,287 drones last year. The company shipped 2 percent of those drones to Australia. How many drones did the company ship to Australia? Round your answer to the nearest whole drone.
Answers
A company rents out 17 food booths and 26 game booths at the county fair. The fee for a food booth is $200 plus $5 per day. The fee for a game booth is $95 plus $10 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid
Answers
d = (17x200 + 17x5) + (26x95 + 95x10)
The expression that represents the total paid by the company is 295 + 15d.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
In another word, a linear function is a function that varies linearly with respect to the changing variable.
As per the given,
The fee for a food booth is $200 plus $5 per day.
Total cost for d days will be = 200 + 5d
The fee for a game booth is $95 plus $10 per day.
Total cost for d days will be = 95 + 10d
Total cost for d days = (200 + 5d) + (95 + 10d)
⇒ 200 + 95 + 5d + 10d
⇒ 295 + 15d
Hence "The expression that represents the total paid by the company is 295 + 15d".
For more about the linear function,
brainly.com/question/21107621
#SPJ5
I WILL GIVE BRAINLIEST!!!!
Answers
The equation tells you that Henry swims 1.6·1 = 1.6 laps when x = 1 minute.
The table tells you Larry swims 4.5 laps in 2.5 minutes. Dividing these numbers by 2.5 tells you Larry swims 4.5/2.5 = 1.8 laps in 2.5/2.5 = 1 minute.
Henry's rate is 1.6 laps per minute; Larry's rate is 1.8 laps per minute.
___
1.8 is larger than 1.6, so Larry swims faster than Henry. That is, Larry swims farther in the same amount of time, or takes less time to swim the same distance.