Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solution if x represents the number of days that a library book is late and y represents the total fee?
Answers
Answer:
Option (4)
Step-by-step explanation:
An ordered pair (x, y) represents,
x = number of days that a library book is late
y = Total fee for the delay
Late fee of a library book = $0.30 per day
Then late fee of a book for the delay of 'x' days,
y = per day fee × number of days delayed
y = [tex]0.30\times x[/tex]
Option (1). For (-3, -0.90)
Since number days can't be negative so not the answer.
Option (2). For (-2.5, -0.75)
Number of days are negative so can't be the answer.
Option (3). For (4.5, 1.35)
Fee for 4.5 days will be,
y = 0.30(4) [Since fee is charged after completion of one day or in the midnight]
Fee for 4.5 days will be the same as fee for 4 days.
y = $1.20
Therefore, this option will not be the answer.
Option (4). For (8, 2.40)
y = 0.30x
y = 0.30(8)
y = 2.40
Therefore, option (4) will be the answer.
Answer:
8,2.40
Step-by-step explanation:
Related Questions
There are 650 toothpicks in a regular-sized box. If a jumbo box is made by tripling all the dimensions of the regular-sized box, how many toothpicks will the jumbo box hold?
Answers
Answer: 1950 is how many it will hold.
Step-by-step explanation:
Kite ABCD is translated (x − 2, y + 3) and then rotated 90° about the origin in the counterclockwise direction. Complete the table to show the locations of A″, B″, C″, and D″ after both transformations. I need help
Answers
Answer:
A' (-4, - 7), B' (-5, -4), C' (-4, -3), D' (-3, -4)
Step-by-step explanation:
Rule of rotation about the origin at an angle of 90° in the counterclockwise direction:
The stated value of (x, y) after performing the translation are switched or interchanged, with x used as the y coordinate value and the negative value of y used as the x coordinate value. That is ;
(x, y) - - - -> (-y, x)
Solving the problem above:
Applying translation: (x-2, y+3), then rotating about the origin at 90° in the counterclockwise direction.
A =(-5, 1) = (-5 - 2, 1 + 3) = (-7, 4)
(-7, 4) - - -> A' = (-4, - 7)
B =(-2, 2) = (-2 - 2, 2 + 3) =(-4, 5)
(-4, 5)- - -> B' = (-5, -4)
C =(-1, 1) = (-1 - 2, 1 + 3) = (-3, 4)
(-3, 4) - - -> C' = (-4, -3)
D =(-2, 0) = (-2 - 2, 0+3) =(-4, 3)
(-4, 3)- - -> D' = (-3, -4)
Answer:
the other guy is correct.
Step-by-step explanation:
Keenan currently does a total of 888 pushups each day. He plans to increase the number of pushups he does each day by 222 pushups until he is doing a total of 303030 pushups each day. Which equation can we use to determine xxx, the number of days that it will take Keenan to reach his goal? Choose 1 answer: Choose 1 answer:
Answers
Answer:
222x + 888 = 303030
Step-by-step explanation:
If he raises the amount of push-ups he does by 222, then we can put the x with it, which represents the number of days. Since we are adding onto the 888 a day we can put that without the variable. If you were to solve this equation you would get the amount of days it would take to reach 303030 push-ups a day.
Hope this helps!
Answer:
8+2x=30
Step-by-step explanation:
did it on khan its correct
A town's population is 33.950. About 100 people move out of the town cach month. Each month, 125 people on average move into town. A nearby
town has a population of 35,700. It has no one moving in and an average of 150 people moving away every month. In about how many months will the
populations of the towns be equal? Pick the correct equation to model the situation. Then solve the equation and answer the question,
A. 125m-100m+35,700-33,950-150m
B. 125m-100m+33,950-35,700-150m
C. 125m+100m+35,700-33,950+150m
D. 125m+100m+33,950-35,700+150m
The correct equation is choice letter
months
The towns will have equal populations in about
Answers
Question 2 you subtract 35700- 150 =35550 then - 150 from that until both of your problems are equal and that how u find the month it’s 10 months
The equaitons are y = 25m + 33950 and y = 150m + 35700. Then the number of months will be 10 months. Then the correct option is B.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Let 'm' be the number of months and 'y' be the population. Then the equations are given as,
y = (125 - 100) m + 33,950
y = 25m + 33950 ...1
y = 150m + 35700 ...2
From equations 1 and 2, then we have
150m + 35700 = (125 - 100) m + 33950
125m - 100m + 33950 - 35700 - 150m = 0
175m = 1750
m = 10 months
The equaitons are y = 25m + 33950 and y = 150m + 35700. Then the number of months will be 10 months. Then the correct option is B.
More about the linear equation link is given below.
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Q, A fruit seller buys 10 apples for Rs. 45 each from wholesale market .He packs them in a fruit basket for 40 and sells them each for 20 bakets Rs. 600 .Is it loss or gain
Answers
Answer:
It is a gain.
Step-by-step explanation:
CLEAR STATEMENT:
Given that the fruit seller buys 10 apples for 45Rs each from wholesale market.
This implies her buys them for 10 × 45Rs = 450Rs.
UNCLEAR STATEMENT:
He packs them in a fruit basket for 40 and sells them each for 20 baskets Rs. 600.
ASSUMING:
What you are trying to say is that he bought baskets for 40Rs, and sold the apples for 600Rs.
Subtracting his expenses from this value, we have
600Rs - 450Rs - 40Rs = 110Rs
Since this amount is positive, we conclude that it is a gain of 110Rs.
A boy is playing ball in a garden surrounded by a wall 2.5 m high kicks the ball vertically up from a height of 0.4 m with a spee d of 14 m/s.For how long is the ball above the height of the wall .
Answers
Answer:
2.5 sec
Step-by-step explanation:
Height of wall = 2.5 m
initial speed of ball = 14 m/s
height from which ball is kicked = 0.4 m
we calculate the speed of the ball at the height that matches the wall first
height that matches wall = 2.5 - 0.4 = 2.1 m
using [tex]V^{2}[/tex] = [tex]U^{2}[/tex] + 2as
where a = acceleration due to gravity = -9.81 m/s^2 (negative in upwards movement)
[tex]V^{2}[/tex] = [tex]14^{2}[/tex] + 2(-9.81 x 2.1)
[tex]V^{2}[/tex] = 196 - 41.202
[tex]V^{2}[/tex] = 154.8
v = [tex]\sqrt{154.8}[/tex] = 12.44 m/s
this is the velocity of the ball at exactly the point where the wall ends.
At the maximum height, the speed of the ball becomes zero
therefore,
u = 12.44 m/s
v = 0 m/s
a = -9.81 m/s^2
t = ?
using V = U + at
0 = 12.44 - 9.81t
-12.44 = -9.81
t = -12.44/-9.81
t = 1.27 s
the maximum height the ball reaches will be gotten with
[tex]V^{2}[/tex] = [tex]U^{2}[/tex] + 2as
a = -9.81 m/s^2
0 = [tex]14^{2}[/tex] + 2(-9.81s)
0 = 196 - 19.62s
s = -196/-19.62 = 9.99 m. This the maximum height reached by the ball.
height from maximum height to height of ball = 9.99 - 2.5 = 7.49 m
we calculate for the time taken for the ball to travel down this height
a = 9.81 m/s^2 (positive in downwards movement)
u = 0
s = 7.49 m
using s = ut + [tex]\frac{1}{2}[/tex]a[tex]t^{2}[/tex]
7.49 = (0 x t) + [tex]\frac{1}{2}[/tex](9.81 x [tex]t^{2}[/tex] )
7.49 = 0 + 4.9[tex]t^{2}[/tex]
[tex]t^{2}[/tex] = 7.49/4.9 = 1.53
t = [tex]\sqrt{1.53}[/tex] = 1.23 sec
Total time spent above wall = 1.27 s + 1.23 s = 2.5 sec
a linear function has the same y-intercept as x + 4y= 8 and its graph contains the point (6,3). what is the y intercept?
Answers
Answer:
The y-intercept b = 9/2
Step-by-step explanation:
A line has equation x + 4y = 8 or y = (-1/4)x + 2
=> The slope of this line is -1/4
Another line y = ax + b has the slope a = -1/4 and passes (6, 3)
=> 3 = (-1/4)*6 + b
=> 3 = -3/2 + b
=> b = 9/2
=> The y-intercept b = 9/2
Answer: y-intercept = 2
Step-by-step explanation:
Slope-Intercept form of an equation is: y = mx + b where
m = slopeb = y-interceptx + 4y = 8
4y = -x + 8
[tex]y=-\dfrac{1}{4}x+\dfrac{8}{4}[/tex]
[tex]y=-\dfrac{1}{4}x+2[/tex]
The y-intercept (b) = 2
I am not sure why you gave a point that goes through the y-intercept because it does not relate to the question , however, I have shown below the equation of point (6, 3) that goes through b = 2.
y = mx + b
3 = m(6) + 2
1 = 6m
[tex]\dfrac{1}{6}=m[/tex]
Equation: [tex]y=\dfrac{1}{6}x+2[/tex]
The first three terms of a geometric sequence are shown below. What is the eighth term of the sequence?
Answers
Answer:
A) -128x^8 - 384x^7
Step-by-step explanation:
The pattern is each term is multiplied by -2x which means by the eighth term youll have 8 x's in the first and 7 in the second. As you started off with a positive and multiplied it an even amount of time you'd end up with a negative answer. Think of it like this, it switches with each multiple so it would go: Positive, negative, positive, negative, this will get you a negative in the eighth term.
I know my explanation is a bit bad! I apologize!
Answer:
its a
Step-by-step explanation:
edge 2020 just took the test
I need help plzzzzzz
Answers
Answer:
C) -b > 0
Step-by-step explanation:
as per the graph
a<b<c and a<0, b<0
A) a>b
incorrect as a is on the left from bB) -b < -c
incorrect, b<c, when negative applied to both sides, inequality is reversedC) - b> 0
correct, as b<0, when negative applied it make b positive, i.e greater than zeroHere's the question. Please awnser ASAP
Answers
Answer:
the answer is A because the pair of ratios are equivalent.
John is putting a fence around his garden that is shaped like a half circle and a rectangle. A rectangle has a length of 14 feet and width of 7 feet. A semicircle with diameter of 7 feet is on top of the rectangle. How much fencing will John need? Use StartFraction 22 over 7 EndFraction for Pi. 32 ft 39 ft 46 ft 57 ft
Answers
Answer:
He needs approximately 46 feet of fencing.
Step-by-step explanation:
John's garden has a shape of a composite figure as shown in the annexed drawing. To find the length of the fencing he needs we need to find the perimeter of the rectangle and subtract it with the width and find the length of the circle and divide it by two. This is done below:
[tex]\text{fence} = (\text{rectangle perimeter} - \text{width}) + (\frac{\text{circle perimeter}}{2})\\\text{fence} = (2*14 + 2*7 - 7) + (\frac{2*\pi*3.5}{2})\\\text{fence} = 35 + 11 = 46 \text{ feet}[/tex]
He needs approximately 46 feet of fencing.
Answer:
46
Step-by-step explanation:
Given the equations below what is the value of n/m?
m-6(n+2)=-8
6n+m=16
Answers
m-6(n+2)=-8
m-6n-12=-8
Add 12 to both sides to get
m-6n= 4
Next solve for m.
Add 6n to both sides
m=6n+4
Plug that into the second equation for m.
6n+(6n+4)=16
Combine like terms. 6n+6n is 12n so...
12n+4=16
Solve for n by subtracting 4 to each side
12n=16-4
12n=12
n=1
Plug n=1 into the m equation or any of the two original equations to solve for m...
6(1)+m=16
6+m=16
m=10
Since you solved for m earlier you could also do it this way:
m=6(1)+4
m=6+4
m=10
Thus your two solutions are m=10 and n=1
Hope this helps!!!!!
Answer:
M=10
n=1
Happy learning,
Applepi101
Can I have the answer to this?
Answers
Answer:
∛2 can be written as [tex]2^\frac{1}{3}[/tex]. The way i like to remember how to write fractional exponents is that the index of the radical (3 in this case) is the denominator of the fractional exponent and the power of the number inside the radical (1 in this case) is the numerator.
Answer:
2 1/3 is the answer
Step-by-step explanation:
Good Luck On Your Assignment- JoshuaAmachee365BanB Rip. My 3 accounts ;(Jonah earned $5 more than half of Karen's salary, k. Which of the following expressions represents Jonah's earnings?
Answers
Answer:
J = 0.5k + 5
Step-by-step explanation:
Could someone help me please
Answers
Answer:
Cannot
Can
Cannot
Cannot
Step-by-step explanation:
10+3 < 18
16+8>23
6.5+3.4 < 10.8
7+7< 23
Answer:
what's the question men let me no
Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 26, the length of A C is 10, and the length of B C is 24. Given right triangle ABC, what is the value of tan(A)? Five-thirteenths Twelve-thirteenths Twelve-fifths Thirteen-twelfths
Answers
Answer:
The right option is twelve-fifthsStep-by-step explanation:
Given a right angle triangle ABC as shown in the diagram. If ∠BCA = 90°, the hypotenuse AB = 26, AC = 10 and BC = 24.
Using the SOH, CAH, TOA trigonometry identity, SInce we are to find tanA, we will use TOA. According to TOA;
Tan (A) = opp/adj
Taken BC as opposite side since it is facing angle A directly and AC as the adjacent;
tan(A) = BC/AC
tan(A) = 24/10
tan(A) = 12/5
The right option is therefore twelve-fifths
Answer:
The correct answer is option C. 12/5
Step-by-step explanation:
Hope this helps!
Brainliest would be greatly appreciated :D
According to the table, which statement is correct about the bank balances?
A) Samuel has less debt than Harley.
B) Harley has more debt than Benton.
C) Benton has more debt than Winston.
D) Winston has more debt than Benton.
Will mark brainiest!
Answers
Answer: The answer is D
Step-by-step explanation:
If you read all the answers only D is true
Answer:
Its C. Trust me
Step-by-step explanation:
I picked D. and it was wrong and told me it was C. DO NOT PICK D. IT IS C.
Someone just give answer, no need to explain!
Answers
Answer:
X=55
Step-by-step explanation:
90 + 35 + X=180
125+X=180
X=55
Answer:
x = 55'Step-by-step explanation:
x+ 35 = 90 ( because there is perpendicular sign which is 90)x = 90 - 35(when 35 is sent into another side it will be -)x = 55Hope it helps you!
Find the area of the shape shown below.
24
25
8
units?
HELP
Answers
Answer:
hope this is correct
Answer:
108
Step-by-step explanation:
Each letters from I to W is written on a separate index card and placed in a box. Which ratio represents the probability that a letter in the word MILK will be selected on the first try?
Answers
Answer:
Ratio = 4 : 15 or
[tex] \frac{4}{15} [/tex]
Step-by-step explanation:
Here letters from I to W are written on a separate index card.
I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W
Counting the letters, they are 15 in number.
To find the probability that a letter in the word MILK will be selected on first try, we'll get the following:
Possible event / total number
Since the word MILK contains 4 letters, the probability =
[tex] \frac{4}{15} [/tex]
Therefore, ratio that represents the probability that a letter in the word MILK will be selected on the first try is 4 : 15
(1). An Aeroplane leaves an airport, flies due North for 2 hrs at 500km/h. It then flies on a bearing of 053 degree at 300km/h for 90 mins. How far is the plane from the airport correct to 1 dp *(2). Find the bearing of the plane from the Airport correct to 1 dp. *(3). If it takes the Aeroplane 150 mins to fly back to the airport. Find the average speed of the aeroplane for the whole flight correct to 1dp. *
Answers
Answer:
1. 1320.7 km
2. 015.8 degrees.
3. 461.8 km/h.
Step-by-step explanation:
(1) the distance from the airport is approximately 1096.5 km.
(2) the bearing of the plane from the airport is approximately 24.4 degrees.
(3) the average speed of the airplane for the whole flight is approximately 580 km/h.
(1) To find the distance the plane is from the airport, we can break down the two legs of the journey into their respective distances and use the Pythagorean theorem.
For the first leg of the journey, the plane flies due North for 2 hours at a speed of 500 km/h. Therefore, the distance covered is:
Distance = Speed * Time = 500 km/h * 2 h = 1000 km
For the second leg of the journey, the plane flies at a bearing of 053 degrees at a speed of 300 km/h for 90 minutes (1.5 hours). We can calculate the distance covered using the formula:
Distance = Speed * Time = 300 km/h * 1.5 h = 450 km
Using the Pythagorean theorem, the distance from the airport is the hypotenuse of a right triangle with sides of 1000 km and 450 km:
Distance from the airport = √(1000² + 450²) ≈ 1096.5 km (rounded to 1 decimal place)
Therefore, the distance from the airport is approximately 1096.5 km.
(2) To find the bearing of the plane from the airport, we need to determine the angle between the plane's position and the north direction. We can use the inverse tangent function (arctan) to find this angle.
The angle can be calculated as:
Angle = arctan(opposite/adjacent) = arctan(450/1000) ≈ 24.4 degrees (rounded to 1 decimal place)
Therefore, the bearing of the plane from the airport is approximately 24.4 degrees.
(3) To find the average speed of the airplane for the whole flight, we can calculate the total distance traveled divided by the total time taken.
The total distance traveled is the sum of the distances from the first and second legs of the journey:
Total Distance = 1000 km + 450 km = 1450 km
The total time taken is the sum of the time taken for each leg:
Total Time = 2 hours + 1.5 hours + 2.5 hours (150 minutes is equal to 2.5 hours)
Average Speed = Total Distance / Total Time = 1450 km / 2.5 h ≈ 580 km/h (rounded to 1 decimal place)
Therefore, the average speed of the airplane for the whole flight is approximately 580 km/h.
Learn more about average speed here
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Can some one help me plz on this problem I need help asap! I need yo solved this problem plz help help help?
Answers
Answer:
The answer is 64.
Step-by-step explanation:
You only have to substitute the value of a, b and c into the expression :
[tex] {b}^{2} - 4(a)(c)[/tex]
Let a = 3,
Let b = 4,
Let c = -4,
[tex] {4}^{2} - 4(3)( - 4)[/tex]
[tex] = 16 - 4( - 12)[/tex]
[tex] = 16 + 48[/tex]
[tex] = 64[/tex]
Answer:
64
Step-by-step explanation:
What is the slope? WIL MARK BRAIN 20 POINTS
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
According to exponent rules, whne we multiply exponential expressions we___the exponents
Answers
Answer:
add
Step-by-step explanation:
Please help! Correct answer only! This assignment is due today.
Lester teaches a ceramics class on the weekends. In Sunday's class, the students created 19 clay objects, 12 of which were vases. After each class, Lester bakes the clay objects in a hot kiln to harden them. Students pick up their finished pieces later in the week.
If Lester randomly chose 16 clay objects to bake in the kiln Sunday night, what is the probability that exactly 11 of the chosen clay objects are vases?
Write your answer as a decimal rounded to four decimal places.
Answers
Answer:
0.2601
Step-by-step explanation:
There are 19C16 = 969 ways for Lester to choose 16 of the 19 objects.
There are 12C11 = 12 ways to choose 11 vases, and 7C5 = 21 ways to choose a non-vase, for a total of (12)(21) = 252 ways to choose exactly 11 vases in 16 objects.
So, the probability of interest is ...
252/969 ≈ 0.2601
_____
nCk = n!/(k!(n-k)!) ... the number of ways to choose k objects from n
3. Un cubo de madera se pinta y luego se divide en 27 cubitos iguales, de estos nuevos cubos ¿Cuántos tienen pintadas 3 caras? a. 1 cubito b. 12 cubitos c. 8 cubitos d. 10 cubitos
Answers
Answer:
c. 8 cubes
Step-by-step explanation:
In this case if the original cube was divided into 27 equal smaller cubes, the way to do this is each top side divide it into 9 parts and then make 3 cuts down, so they would have 27 equal cubes.
The case that 3 faces are painted would be 8, because with this condition it would only be the corner cubes, the cube would have 4 lower corners and 4 upper corners, therefore 8 cubes would have 3 painted faces
A water grist mill has a radius of 8ft and takes 6 seconds to make a complete rotation. A bucket starts at position (8,0). What are the coordinates of the bucket's location after 4 seconds? Round values to the nearest tenth.
(8.7, −3.5)
(−4, −6.9)
(4, −6.9)
(−8.7, −3.5)
Answers
Answer:
(−4 -6.9 )= x, y rotation 240 degree anti clockwise
Step-by-step explanation:
We are told radius = 8 so the center point or point of origin is 0.0
360/3 = 120 degree x 2 = 240 degree is where we need to be.
(8,0) circulating anti clockwise = -8,0 at 180 = 180 degree.
This is 3 seconds.
We divide 8/3 to find the 4th and know it will be negative in the 3rd quadrant across the negative y axis, the lower and left point on the graph.
We know both are negative if going anti clockwise 240 degree.
We also know that the hands of a clock or mechanics of a mill cannot increase in length they shorten so they cannot be 8.7 even though triangles slants do increase this is independent of completing the lengths in a triangle. The lengths shorten.
-4 = x this is because it crosses -4 x axis to reach to -6.9 y coordinate.
Y= 6.9 as the length of 8 is shortened by 1.1 units between each 180 degree line we have 210deg (shows (-6.35, -2.4) also; 240 deg (-6.9, -4 ) and a 270 deg (this shows (0,8)
if 240/6.9 = 34% reduction
As 8 6.9 of 8 as a percentage = 86.25
As a ratio decrease we have 13.75% with the size of the coordinates at 240 degrees from 180 degrees the highest point is 270 degrees and is half again 1.1/2 = 0.55 increase in coordinates of y.
y would show -6.35 at 210 degrees and x would show 1.1 whole ratio change and show -2.4 at 210 degrees. The reason for this is that it is cutting the axis line and is a narrowing crossing for x axis shortly before 180 degree change.
The shortest point of the hand and central to 240 and 180 is 210 degree.
PLEASE HELP
What is the rate of change and initial value for the linear relation that includes the points shown in the table? (4 points)
x y
2 3
4 5
6 7
8 9
Initial value: 1, rate of change: 2
Initial value: 1, rate of change: 1
Initial value: 2, rate of change: 2
Initial value: 3, rate of change: 2
Answers
So the first one
An exponential growth function has an asymptote of y = –3. Which might have occurred in the original function to permit the range to include negative numbers?
Answers
Answer:
It's B
explanation
Which regression equation best fits these data?
Answers
[tex]the \: right \: answer \: is \: of \: option \: a \\ y = - 0.32 {x}^{2} - 1.26x + 15.81 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]