art A: Sam rented a boat at $225 for 2 days. If he rents the same boat for 5 days, he has to pay a total rent of $480.

Write an equation in the standard form to represent the total rent (y) that Sam has to pay for renting the boat for x days. (4 points)

Part B: Write the equation obtained in Part A using function notation.(2 points)

Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals.


I need the most help for part c.

Answers

Answer 1

Answer: PART A:

Recall that the equation of a line in standard form is of the form:

ax + by = c

where a, b, and c are constants.

The equation of a line passing through two points:

and

is given by:

Given that Amir rented a scooter at $43 for 3 hours. If he rents the same scooter for 8 hours, he has to pay a total rent of $113.

This,

and

Thus, the equation of the line is given by:

Therefore, the equation of the line in standard form is

PART B:

To write the equation with a function notation, we first express y in terms of x and then change y notation to f(x) notation.

Recall from part 1:

Therefore, the equation obtained in Part A written using function notation is given by:

PART C:

To graph the equation obtained above, we draw the x- and y- axis with the x-axis labelled 'number of hours' and the y-axis labelled 'total rent'.

Next, we choose appropriate scales for x- and y- axis. Depending on the size of your graph book, you can choose an interval of 1 unit for the x-axis and an interval of 10 units for the y-axis.

From part A, we know that the line of the equation passes though points (3, 43) and (8, 113), mark these points and draw a straight line passing theough these points.

Step-by-step explanation:


Related Questions

Q.3 - The table and the graph each show a different relationship between the same two variables, x and y:


How much more would the value of y be in the table than its value on the graph when x = 11?

Answers

Because y=20x in this table, the value of y is worth 20 times as much as the value of 11.

How can I tell which graph represents the function's graph?

A feature's graph In a plane of the form (x, f(x)), all factors have the form f. As a side note, the graph of f may also be thought of as the graph of y = f. (x). Because of this, a feature's graph is a particular case in the graph of an equation.

When it comes to graphing, what exactly is the axis?

To explain the graph's meaning and the measuring devices, an axis is a line drawn to the graph's aspect or backside. It is possible to provide information about what the graph shows by labeling the x-axis, the horizontal line at its lowest point.

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Copy the problems onto your paper, mark the givens and prove the statements asked.
CN=WN, ∠C≅∠W
Prove RN=ON

Answers

The statements and reasons for the proof are:

CN ≅ WN [given]∠C ≅ ∠W [given]m∠CNR ≅ ∠WNO [vertical angles theorem]ΔCNR ≅ ΔWNO [ASA theorem]RN = ON [CPCTC]

What is the CPCTC and ASA Congruence Theorem?

When two triangles have two corresponding congruent angles and one corresponding included sides that are congruent, both triangles are congruent by ASA. By implication, the CPCTC states that since they are congruent triangles, all its corresponding parts are congruent to each other.

The statement for the proof along with the reasons in bracket are:

CN ≅ WN [given]∠C ≅ ∠W [given]m∠CNR ≅ ∠WNO [vertical angles theorem]ΔCNR ≅ ΔWNO [ASA theorem]RN = ON [CPCTC]

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They have articles explaining this but I would probably confuse you but good luck

3 friends shared 48 pineapples equally among themselves. One of the friends sold all his pineapple each at $5 how much did he get from selling the pineapples?

Answers

Answer: $80

Step-by-step explanation:

Step 1: Find how much each person got

48 pineapples shared amongst 3 people

48÷3= 16 pineapples each

Step 2: Find how much he earned

16 pineapples for $5 each

Total money made: 16x5= 80

$80 in all selling his share of the pineapples

hope this helps!!

The total amount of money the friend made from selling his pineapples is $80

How much did he get from selling the pineapples?

Total pineapples = 48

Total friends = 3

Number of pineapples each friend takes = Total pineapples / Total friends

= 48/3

= 16 pineapples per friend

Cost of each pineapple = $5

Total amount the friend made from selling his pineapples = Cost of each pineapple × Number of pineapples each friend takes

= $5 × 16

=$80

Hence, the friend made $80 from selling his pineapples.

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John drew a trapezoid ABCD on a coordinate plane. The coordinates are as follows
A(8,4)
B(10,4)
C(13,-1)
D(8,-1)
What is the length of the side AD?

Answers

Answer: 5

Step-by-step explanation:

If the sides of A is (8,4) and the coordinates of D is (8-1), the same value in both coordinates are 8 and the different values are 4 (A) and -1 (D). We will take the absolute values (AV) of both when added: |4 + -1|.

The answer will be 5 grids (or whatever measurements the question uses).

The answer is 5 units because if you have a graph you can count from (8,4) to (8,-1) and it equals 5

How do you figure out if a shape is similar or not using rectangle diagnols?

Answers

Answer:

How do you figure out if a shape is similar or not using rectangle diagnols?

Assuming that diagnols = diagonal, it is not possible to define a similarity relationship without measuring at least one side.

their sides have to be proportional form equal ratios

hello can someone help me with this

Answers

Answer:

I am going to answer the ones you haven't answered yet...

Bullet point 2: The Y-intercept is where the graph crosses the y-axis in this case that would be y=0 or (0,0)

Bullet Point 5: the question basically says that for the values of x when they are between 0 and 6 the y values are ___. the answer for this one would be y ≥ 0.

hi how are u doing today

Find the quotient. 5 1/4 - 15

a. 7/20
b. 78 3/4
c. 2 6/7
d. 3 1/4​

Answers

What I find helps me with division is turning fractions into decimals. In this case 5 1/4 becomes 5.25 and 5.25/15 is .35 (equivalent to 7/20) Answer A: 7/20
The answer should be C- 2 6/7

I believe the question you are asking is what 5 1/4 (otherwise known as 5.25) divided into 15 is.

Simply put, your question is 15 divided by 5.25 (or 5 1/4)

To solve this we can make the fraction 5 1/4 into an improper fraction. This makes the fraction to consist of a numerator and a denominator and no whole numbers. Converting 5 wholes into fourths would mean 5 times 4 which is 20. Therefore 5 converted into 1/4 ‘s is 20 1/4’s. This combined with the other 1/4 in the fraction 5 1/4 makes the improper fraction 21/4.

When you divide fractions you switch the numerator and denominator of the fraction on one side (usually the right side although it doesn’t matter as long as you only switch one fraction of the two) and multiply. 15 times now 4/21 is 60/21.

To simplify this you can divide the numerator and denominator by a common factor. We can start with 3, simplifying the fraction to 20/7. Now as you may notice in the answer choices they are all mixed numbers, consisting of a whole number as well as the numerator and denominator. 20/7 as a mixed number is 2 6/7 as you can have 2 times 7 (14) and then have 6 left so you have 2 wholes and 6/7 away from another whole. This makes C the answer

Q.2 - The graph shows the number of paintballs a machine launches, y, in x seconds:

Which expression can be used to calculate the rate per second at which the machine launches the balls?

Answers

Answer:

c

Step-by-step explanation:

the answer is c hope this help norc3:

Hi! I’ll give brainliest to best answer!

Thanks so much in advance!

Answers

I believe the answer is 6!
D-6
(Use BODMAS/PENDMAS/BIDMAS)

HELP PLEASE!!!!!!!!!!!!!!!!!!!! I NEED IT ASAP!!!!!!!!!

Answers

i hope this helpssss
The answer is

x = 25

Can someone answer this question pls- 40 points? plus brainliest if you explain.
1. A light bulb is one-hundredth of an inch thick, with an allowable error of 2%. What is the least allowable thickness of the filament?
A. 0.00098
B. 0.0002
C. 0.0098
D.0.0102

Answers

Answer:

Answer:

0.00998 Inches

Step-by-step explanation:

Thickness of the light bulb filament = 0.01 Inch

Allowable error = 2%.

2% of 0.01 = 0.02 X 0.01 =0.0002 Inch

Therefore, the allowable thickness of the bulb filament

We can then calculate the least allowable thickness of the filament as:

The least allowable thickness of the filament is 0.00998 Inches.

Answer:

C. 0.0098

Explanation:

one-hundredth of an inch: 1/100 ≈ 0.01 (inch)

Upper-bound (maximum error):

= 0.01 × (100% + 2%)

= 0.01 × 102%

= 0.0102 inches

Lower-bound (minimum error):

= 0.01 × (100% - 2%)

= 0.01 × 98%

= 0.0098 inches

Hence, the greatest allowable thickness of filament is 0.0102 inches and mostly the least allowable thickness is 0.0098 inches, which is the answer.

PLSSS HELP IM STILL BEING TIMEDD

Answers

The measure of angle 5 is 68°. Why? Well, see below for an explanation!

The measure of angle 5 is 68° because this problem is under the category of “parallels cut by a transversal.” Under these circumstances, angles 1 and 5 are corresponding to each other. Corresponding angles are congruent, which means that they have the same measurements. This would mean that angles 1 and 5 both equal 68°.

Your final answer: B is your final answer. Since 1 and 5 are corresponding angles, they both equal 68°. If you need help, let me know and I will gladly assist you.

Answer:

68°

Step-by-step explanation:

corresponding angles are the same

It is 10:30pm and my brain is not cooperating with me.

Answers

Answer:

[tex]v = 180 {cm}^{3} [/tex]

Step-by-step explanation:

V= lwh or l *w*h

Length: 15

Width: 3

Height:4

V=15*3*4

V=180

Step-by-step explanation:

so, you can't do any basic calculations anymore ? turned into a true couch potato/vegetable ?

the volume of a block is

length × width × height.

similar to the 2 dimensional problem of the area of a rectangle : length × width.

now we have one more dimension. that's all.

V = 15 × 4 × 3 = 180 cm³

The equation 4x2 + 8x + 15 = 0 is being rewritten in vertex form.


Fill in the missing step.



Given 4x2 + 8x + 15 = 0

Step 1 4(x2 + 2x ___) + 15 ___ = 0

Step 2 blank

Step 3 4(x + 1)2 + 11 = 0

A:4(x2 + 2x + 1) + 15 − 4 = 0

B: 4(x2 + 2x + 1) + 15 − 1 = 0

c: 4(x2 + 2x + 2) + 15 − 2 = 0

D: 4(x2 + 2x + 4) + 15 − 4 = 0

Answers

D: 4(x2 + 2x + 4) + 15 − 4 = 0
The answer would be D:4(x2+2x+4)+15-4=0

PLEASE HELP ME ASAP!!!!!!

Answers

Answer:

Triangles are congruent due to SAS

Angles are congruent due to CPCTC

Step-by-step explanation:

In order to prove the congruency of the angles, we have to prove the congruency of the triangles.

ME=MR is given so that is a side

They share angle M so that is an angle

And, MA=MN which is given so that is a side.

The two triangles are congruent due to SAS postulate

So the angles are equal due to CPCTC

Angles E and R are congruent as they are the corresponding parts of two congruent triangle.

Given is a figure which shows two connected triangles ΔEMA and ΔRMN,

We need to prove ∠E ≅ ∠R.

Considering the triangles,

ME = MR [given]

MA = MN [given]

∠M is common angle in both triangles,

So, ΔEMA ≅ ΔRMN by SAS postulate.

So, ∠E ≅ ∠R by CPCTC.

Hence proved.

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PLEASE HELP QUICK!
A pencil cup is shaped like a right rectangular prism. It has a base area of 9 square inches and a height of 312 inches.

What is the volume of the pencil cup?


1212 in³

1534 in³

2114 in³

3112 in³

Answers

Answer:

i got 2808 in3 which wasn't on the list and i was extremely confused, i redid the problem multiple times and got the same answer, i used a calculator AND searched of the web, it still gave me the same answer, if those are the only options something might be wrong, the answer should be 2808 in3.

2808.3 inches
(Used the volume formula)

PLEASE HURRY IM TIMED, The perimeter of a rectangular swimming pool is 70 yards. Its length is 25 yards. Which of the following can be used to find the width?
A.
width = (70 yd + 50 yd) ÷ 4
B.
width = (70 yd − 50 yd) ÷ 4
C.
width = (70 yd − 50 yd) ÷ 2
D.
width = (70 yd + 50 yd) ÷ 2

Answers

I thik the option C should be used.

Answer:

C

Step-by-step explanation:

There are 2 sides for length- 25+25=50

70-50=20. Divide that by 2 sides, 10 yards for width

What’s the measure of x?

( It’s on khan academy ) thanks :)

50 points!!! and will give brainlyiest

Answers

Answer:

[tex]\huge\boxed{\sf x =28 \textdegree}[/tex]

Step-by-step explanation:

Given that,

∠IAK = 62°

∠IAK + ∠IAD = 90° (Complementary angles)

62 + ∠IAD = 90°

Subtract 62 to both sides

∠IAD = 90 - 62

∠IAD = 28°

∠IAD = ∠ACB (Corresponding angles are equal)

So,

∠ACB = 28°

∠ACB = ∠GCJ (Vertically opposite angles are equal)

So,

28° = x°

OR

x° = 28°

[tex]\rule[225]{225}{2}[/tex]

Answer:

28 degrees

Step-by-step explanation:

If two lines cross each other, it makes 4 angles, and 2 angles from opposite sides have the same length. Since line KL and line IJ crossed, angle KAI and angle LAJ will have the same angle.

--> Angle LAJ is 62 degrees

If we look closely, there is a triangle ABC, and since the question said that line KL and line FG is perpendicular, the angle ALG will be 90 degrees.

We know that in a triangle, there are three angles, and the angle measures combined equals 180.

Since we know two angles: 90 and 62, we take them away from 180 to find the last angle BCA.

--> 180 - 90 - 62 = 28

--> Angle BCA = 28 degrees

Like I said at the beginning, if two lines cross each other, opposite angles are the same size. So angle x will also be equal to angle BCA, which is 28 degrees.

Angle x = 28 degrees

the point of M ( a, 4 ) is the midpoint of the line segment with endpoint at A(1,3) and B(5,b). Find the value of a and b

Answers

The value of a and b from the coordinates are 3 and 5 respectively

Midpoint of coordinates

The formula for finding the midpoint of two coordinates is expressed as;

M(x, y) = {x1+x2/2, y1+y1/2}

Given the following coordinates

M(a, 4)

A(1,3)

B(5,b)

Using the formula

a = 1+5/2

a = 6/2

a = 3

Similarly

4 = 3+b/2

8 = 3+b

b = 8-3

b = 5

Hence the value of a and b from the coordinates are 3 and 5 respectively

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The values are A = 3 and B = 5

Evaluate the given algebraic expressions replacing x with -2 and y with 1

[tex]3x^{2}[/tex]

Answers

Answer: -6

Step-by-step explanation: -2^1 = -2

                                              3 x -2 = -6

A local gym sells monthly memberships. The function f(x) = −x2 + 18x − 72 models the daily profit in dollars, where x is the number of memberships sold.

Determine the zeros, and explain what these values mean in the context of the problem.

x = 9, x = 18; The zeros represent the number of monthly memberships that produces a maximum profit.
x = 9, x = 18; The zeros represent the number of monthly memberships when no profit is made.
x = 6, x = 12; The zeros represent the number of monthly memberships that produces a maximum profit.
x = 6, x = 12; The zeros represent the number of monthly memberships when no profit is made.

Answers

Answer: the zeros are at (6,0) and (12,0) where no profit is made.

option D

Step-by-step explanation: you can find the zeros ( the x-intercepts), by either graphing out the function or factoring it.

in this scenario, there is no y increase, which means 0 profit.

no profit was made the correct answer is D

Question 8(Multiple Choice Worth 5 points)
(01.03 MC)
Which expression is equivalent to 32.3-52
0

Answers

Answer:

1/3^3

Step-by-step explanation:

The answer is 1/3^3 or 1/27 because 3^2 is 9 and 3^-5 is 1/243. This results in the equation 9 x 1/243. When simplified you get 1/3^3 or 1/27.

1/3^3

3^2(3^-5) = 3^2-5 = 3^-3 = 1/3^3

help please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:  60 local calls- SEE THE SCREENSHOTS FOR A DETAILED STEP BY STEP RESPONSE :)

also daM, that's a lot of calls

Step-by-step explanation:

Answer: 60 local calls bcz you remove the other 2 charges then divide by .25

Step-by-step explanation:

In a regular 52 deck of cards, what is the probability of picking a random spade, a 4 of any suit and then a random diamond with replacement?

Answers

[tex]sample \: space = 52 \: cards \\ spades = 13 \: cards \\ number \: 4s = 4 \: cards \\ diamonds = 13 \: cards \\ note \: that = \\ there \: is \: replacement \\ order \: does \: matter[/tex]

[tex]P( \gamma ) = \frac{13}{52} \times \frac{4}{52} \times \frac{13}{52} = \frac{1}{208} [/tex]

The Answer is 1/208

Is this correct?

A boy earned $50. He saved $42 and used the rest to buy some text books. How much was each text book if he bought 4 texts books

Answers

$50 - $42 = $8
$8 / 4 = 2
The boy bought 4 textbooks costing $2 each!

Hope this helps!

Answer:

each book was 2 dollars

Explanation:

boy earned $50 he saved 42 dollars and used the rest ($8) to buy textbooks and he bought 4 text books that means each textbook is 2 dollars how (8÷4=2) .

hope it helps and Is what ur looking for.

Find the area
of the figure.

Answers

Answer:

first the triangle

t area=b x h ÷2

=(5ft x 10.5ft)÷2

=26.25ft sq unit

second the rectangle

r area=L × b

=9ft × 7.5ft

=67.5ft sq unit

last the triangle

t area= b×h÷2

=(9ft×4.5ft)÷2

=20.25ft sq unit

Total area= 26.25ft+65.5ft+20.25ft =112ft sq unit

Answer:

110.25 ft^2

Step-by-step explanation:

We can find the area of the figure by adding up the areas of three different shapes.

1) The right triangle

The formula for finding the area of a right triangle is: Base x Height x 1/2

The base in the right triable is 5 and the height is 9.

--> 5 x 9 x 1/2

--> 45/2

--> 22.5

2) The rectangle

The formula for finding the area of a rectangle is: Base x Height

The base is 7.5 and the height is 9.

--> 7.5 x 9

--> 67.5

3) The Isosceles Triangle (On the very right)

The formula for finding the area of a right triangle is: Base x Height x 1/2

The base of the triangle is 9, and the height is 4.5.

--> 9 x 4.5 x 1/2

--> 40.5/2

--> 20.25

Now that we know the areas of separate shapes, all we need to do is add them up!

22.5 + 67.5 + 20.25

= 110.25.

The area of the figure is 110.25 ft^2

Evelyn bought needles, balls of yarn, stitch holders, and patterns for her knitting kit. she bought 3 times as any stitch holders as patterns. 7 less needles than stitch holder, and 2 balls of yarn. She paid $5.25 for each pattern, $0.50 for each stitch holder, $3.25 for each needle, and $7.50 for each ball of yarn. How many of each did Evelyn purchase if she paid $58.25

Answers

She needs 345- (7) 5.25) 2(0.25

Answer:
answer is going to be

4 patterns

5 needles

2 balls of yarn

and 12 stitch holders

hope this helped u bro

What is the relationship between x and y?
Oy and x stay constant
Oy increases as x increases
Oy decreases as x increases
Oy stays constant as x increases

Answers

A is correct because xy is consistna
B increases as c increases, because on the graph you can see this is a positive so every time the x increases the y increases also.

Maybe that I'm wrong, Only one way to find out.

There were 35 students in a school. 20 of the students passed a test. The rest were shared equally among 3 teachers for extra classes. How many students did each teacher receive?

Answers

Answer:

5 students

Step-by-step explanation:

35-20=15

15/3=5

Answer:

35 kids 20 students pass the test 35 -20 = 15 divided by 3 =5 students per teacher.

Step-by-step explanation: hope this helps can I be brainlyest. This is a bunny /\__/\

          | *  .  * |

Plotting Equivalent Ratios
Mr. Hendricks is plotting equivalent ratios on a coordinate plane. One of the ordered pairs is (3, 5). Which other ordered pair could he plot?

Answers

Mr. Hendricks is plotting equivalent ratios
on a coordinate plane. One of the ordered
pairs is (3,5) Which other ordered pair
could he plot? O (4, 6) O (6,4) 0 (6, 10) 0
(10, 6)
You put it on the 3,5 scale hope this help you
Other Questions
why wouldn't you want to post a payment against an invoice directly to a bank account? e.g. consider a one-way authentication technique based on asymmetric encryption: a b: ida b a: r1 a b: e(pra , r1 ) pra is a private key what type of attack is this protocol susceptible to? Mr Brown decided that at the age of 72 that he wanted to retire. Mr Brown wanted to sell his business for R380 000, but could not find a potential buyer who could pay this amount in a lump sum. He sold his business to his cousin, Naledi, who paid him a cash amount of R210 000 and negotiated to pay R6 500 per month to Mr Brown for the rest of his life. Determine whether the amounts in the scenario will be included in the gross income of Mr Brown. answer fast please show your work! in carpentry, what term means to cut a sloping angle that is not 90 degrees? A proton is moved in the direction opposite to an external E-field. Choose the statement that best describes what is happening to the proton. O it is moving from high potential to low potential and electrical energy of a system consisting of the proton and the electric field is increasing it is moving from low potential to high potential and electrical energy of a system consisting of the proton and the eletric held is decreating it is moving from low potential to high potential and the electrical energy of a system consisting of the proton and the electric field is increasing. O it is moving from high potential to low potential and electrical potential energy of a system consisting of the proton and the electric field is decreasing Here are some redox reactions. Calculate their cell potentials and indicate whether they are spontaneous or not (or one of the other choices). Use the reduction potential tables as needed (a) Cu(s) + Fe2+(aq) Cu2+(aq) + Fe(s) Cell potential = The reaction is No idea Spontaneous Insufficient data to determine this With this potential, this reaction cannot occur Non-spontaneous (b) H2(g) + 2 Ag+(aq) 2 H+(aq) + 2 Ag(s) Cell potential = The reaction is This reaction does not occur to any significant extent Insufficient data to determine No idea Non-spontaneous Spontaneous (c) Choose the strongest reducing agent among all the reactants and products in parts (a) and (b) Ag (aq) Cu(s) Ht(aq) Fe2+(aq) H2(g) Ag(s) Fe(s) messages that are spoken without much conscious thought are known as constructed messages.T/F? What is (7x^2-3x+2.5)+(4x^2+1.3x-6)After being simplified a crate is being pushed across a rough floor surface. if no force is applied on the crate, the crate will slow down and come to a stop. if the crate of mass 50 kg moving at speed 8 m/s comes to rest in 10 seconds, what is the rate at which the frictional force on the crate takes energy away from the crate? select the correct answer 129 j/s 502 j/s 321 j/s 160 j/s 92.1 j/s the process of attempting to attract job applicants from outside an organization is called: a. selection b. external recruiting c. external placement d. internal recruiting Consider a PDF of a continuous random variable X, f(x) = 1/8 for 0 x 8. Q. Find P( x = 7) Tiffany bought a piece of equivalent for $40,000. The equipment has a useful life of 5 years and a salvage value of $5,500 at the end of its useful life. Calculate the annual depreciation for years 1-5, and the book values at the end of years 1-5, using DDB. Which of the following describes a way an ACE Certified personal trainer can have a positive impact on a child's perception of exercise? company a has stock that is priced at $100/share. company b has stock that is priced at $125/share. T/F ? Press Reset again. This time, set Gravity to Low, while placing Temperature in the middle of its range. Press Play and allow the simulation to run for ten seconds. (0) % Record the percentages retained of each molecule type. percent of original H2 percent of original CH4 percent of original CO2 (m) bellas doctor treats her mental illness by asking her to recall and relive traumatic events from childhood. this treatment is known as the ________ method? You can do one of the following for extra credit: redo an assignment, redo a quiz, complete a project, or do corrections for a quiz. How many ways can you eam extra credit? Which type of phosphatide contains the structural unit shown below? -OCH2CH2N(CH3)3 1. Cephalins 2. Phosphatidyl serines 3. Plasmalogens 4. Lecithins 5. Both Plasmalogens and Lecithins In a class of 28 pupils,13 have pencils,9 have erasers and 9 have neither pencil nor erasers. How many pupils have both pencils and erasers