3. The graph shows the relationship between
the distance a taxi travels and the cost
of the taxi ride. Is the relationship
proportional? Explain. 2-5 additional practice
Answers
Yes, The distances a taxi travels and the cost of the taxi ride Is the relationship proportional
What is a Proportional Relationship?
The idea of proportion is closely related to those ratios and fractions. Comparing two values with the same unit is what makes up a ratio. A ratio enables us to assess an item's size in relation to another quantity. Two ratios or two fractions are comparable according to the equation of proportion. In other words, when two ratios are equal, they are said to be proportionate. By applying mathematical operations to both sides of the ratio, we discovered that a ratio may be stated in a number of different ways.
In the given question we have to state the relationship between the distance of a taxi and the cost of a taxi ride.
As we know Distance is proportional to speed. and we know that as much we travel our traveling costs will also increase.
That means The fare of the taxi is directly proportional to distance.
Hence, The distance a taxi travels and the cost of the taxi ride is directly proportional to each other.
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Related Questions
Elyas is on holiday in Greece.
He wants to buy a pair of sunglasses for €90
The exchange rate is €1 = £0.875
Elyas says, "The sunglasses cost less than £70"
Using a suitable approximation, show that Elyas is wrong.
Answers
Answer:
To convert euros to pounds, we have to multiply the amount in euros by the exchange rate. So, the sunglasses cost 90 * 0.875 = 78.75 pounds.
To use a suitable approximation, we can round the exchange rate to the nearest hundredth, which is 0.88. This makes the calculation easier and gives a close estimate of the actual value.
Using the rounded exchange rate, the sunglasses cost 90 * 0.88 = 79.2 pounds.
We can see that both the exact and the approximate values are greater than 70 pounds, so Elyas is wrong. The sunglasses cost more than 70 pounds
Step-by-step explanation:
Help help help please in a hurry!!!!!!!!!!!!!!!!!!!
Answers
Answer:D
Step-by-step explanation:
please mark brainliest
15. A birdhouse and the pole that it is on cast a shadow 15 feet long. If a person standing
nearby casts a shadow 5 feet long, and the person is 4 feet tall, how tall are the
birdhouse and the pole?
.a. 12
c. 18.75
b. 15
d. 13.25
Answers
Answer:
12
Step-by-step explanation:
15 feet total amount combined by pole and birdhouse
4 foot tall person makes 5 feet long shadow
5x3=15
4x3=12 so the birdhouse and pole are 12 feet
The birdhouse and the pole are 18.75 ft tall.
What is Equation Modelling?
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have a person standing nearby who casts a shadow 5 feet long. The person is 4 feet tall.
Assume that for the birdhouse and the pole are [x] ft tall.
Now, for a 4 feet tall person, the shadow is 5 feet long.
Then, for one feet long person, the shadow would be (5/4) feet long.
Then, for 15 feet long -
x/15 = 5/4
x = (15 x 5)/4
x = 75/4
x = 18.75 feet tall
Therefore, the birdhouse and the pole are 18.75 ft tall.
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Mixture of 40 liters of paint is 25% red tint, 30% yellow tint and 45% water. Five liters of red tint and five liters of yellow tint are added to the original mixture. What is the percent of water in this new mixture?
Answers
Step 1
25% of 40 litres is;
\(\frac{25}{100}\times40=10\text{ litres of red tint}\)Step 2
30% of 40 litres;
\(\frac{30}{100}\times40=\text{ 12 litres of yellow tint}\)Step 3
45% of 40 litres;
\(\frac{45}{100}\times40=18\text{ litres}\)Step 4
5 liters of red tint are added and 5 liters of yellow tint are added to the original mixtures
\(\begin{gathered} 10\text{ +5=15 litres of red tint} \\ 12+5=17\text{ liters of yellow tint} \\ 18\text{ liters of water} \end{gathered}\)Answer; What is the percent of water in this new mixture?
\(\begin{gathered} Total=15+17+18=50\text{ liters} \\ \frac{18}{50}\times100=36\text{\%} \end{gathered}\)make x subject
u= cos 0.5x
Answers
By making x the subject of the formula in this equation u = cos(0.5x) gives x = 2cos⁻¹(u).
How to make x the subject of the formula?In Mathematics and Geometry, an equation can be defined as a mathematical expression which shows that two (2) or more thing are equal. This ultimately implies that, an equation is composed of two (2) expressions that are connected by an equal sign.
In this exercise, you are required to make "x" the subject of the formula in the given mathematical equation by using the following steps.
By taking the arc cosine of both sides of the equation, we have the following:
u = cos(0.5x)
cos⁻¹(u) = 0.5x
By multiplying both sides of the mathematical equation by 2, we have the following:
2 × cos⁻¹(u) = 0.5x × 2
x = 2cos⁻¹(u)
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1. Out of 318 seventh and eighth grade CAVA students there were 48 students that chose Music as their elective
course and the rest chose World Language. There were a total of 124 eighth grade students and 108 of them
chose World Language as their elective.
Use this information to complete the two-way table completely.
Enter your answer by filling in the boxes to complete the table (5 pts)
Answer:
8th Grade
7th Grade
Totals
Music
48
World Language
108
Totals
124
318
Answers
The students in 8th class who choose music are 16 in number,
The students in 7th class who choose music are 32 in number
The total who choose world language is 270
The totals who are in 7th grade be 194
The number of students who choose world language in 7th class are 162
Let x be the students in 8th class who choose music
x+108=124
x=124-108
x=16 students
Now y be the students in 7th class who choose music
16+y=48
y=48-16
y=32
Let z be the total who choose world language
48+z=318
z=318-48
z=270
Now the totals who are in 7th grade be A
124+A=318
A=318-124
A=194
B be the number of students who choose world language in 7th class
Now 32+B=194
B=194-32
B=162
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12) Use the graph to estimate the X and Y intercepts:
Answers
Answer: X intercept = 18 Y intercept = 16
Step-by-step explanation: It appears that the line crosses x = 0 at 16 and y = 0 at 18
Please check #9 and tell me if I’m right
Q: Find (x) so the (L) is parallel to (m) and state the converse used
Answers
Answer:
that's 53 °not 90 i thought
Jayden budgets $400 of his $3,200 monthly income towards donations. What percent of his income does he donate each month?
Answers
Answer:
12.5%
Step-by-step explanation:
400 divided by 3200= .125
.125 x 100= 12.5
12.5%
Find the area of a rectangle whose length (L) = 15 in. and width (W) = 2 in.
(a) 17 in ²
(c) 13 in. ²
(b) 30 in.²
(d) 68 in.²
Answers
Cuz area is LxW
8. The first three terms of a geometric sequence are ( x-6), 3x, and y. If the common ratio is 6, then the value of y is.
Answers
Answer:
The value of y is 216
(and the value of x is 12)
Step-by-step explanation:
The general formula for a geometric sequence is,
\(a_n = a_1(r)^{n-1}\)
Where n represents the nth term, a_1 is the first term and r is the common ratio,
we see that,
r = 6,
the first term is,
a_1 = (x-6)
the 2nd term is,
a_2 = 3x,
the 3rd term is,
a_3 = y, finding y,
first we find x, using the above given formula we have,
\(a_2 = a_1(6)^{2-1}\\3x = (x-6)(6^1)\\3x = 6x -36\\36 = 6x - 3x\\36 = 3x\\x=36/3\\x=12\)
x = 12,
Now, for y we can use the relation between a_3 and a_2,
\(a_3 = a_1(6)^{3-1}\\y = (x-6)(6)^2\\y = (12-6)(6^2)\\y = 6(6^2)\\y = 6^3\\y = 216\)
y = 216
Darlena has started taking photos at amateur dog racing events, later offering the photos for sale to the dog owners by email. The prices she has charged per photo at each of her first three events, and the corresponding number of photos sold and total revenue raised appear in the table below. Price per Photo $56 $52 $24 Number of Photos Sold 4 5 12 Revenue $224 $260 $288 Treating revenue as a function of the number of photos sold, a graph of the three data points is also shown. If she uses quadratic regression to fit a curve to the data, what number of photos are sold, and what price per photo will maximize her revenue?
Answers
The measures of the angles of a triangle are shown in the figure below. Solve for x.
(4x-16)
43°
109°
Answers
Step by step explanation:
Triangle rule states that all angles of a trundle must equal to 180 degrees. So we have two known angles, therefore we can subtract them from the 180 degree total.
180-109-43
=28
Now to solve for x we have the equation
4x-16=28
We add 16 to both sides to isolate x
4x=44
Now we divide each side by 4 to get rid of the coefficient
x=11
Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why ALMNOPQ?
Check all that apply.
M
AA
A. HL
B. SAS
C. AAS
D. ASA
E. LA
F. LL
Answers
Answer:
It has been a while. I think it is ASA and AAS
The triangles ΔLMN and ΔOPQ are congruent triangles by the ASA and AAS postulates
What are Congruent Triangles?Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the first triangle be represented as ΔLMN
Let the second triangle be represented as ΔOPQ
Now , the measure of ∠MNL = 90°
The measure of ∠PQO = 90°
And , the measure of side MN = measure of side PQ
And , the measure of ∠MLN = measure of ∠POQ
So , the two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Therefore , the triangles are congruent by AAS and ASA theorems
Hence , the ΔLMN and ΔOPQ are congruent triangles
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In a study appearing a Science journal, a research team reports that plants in southern England are flowering earlier in the spring. Records of the first flowering dates for 385 species over a period of 47 years show that flowering has advanced an average of 15 days per decade, an indication of climate warming, according the the authors. What is the population of interest? *
Answers
Answer:
Its about plants
Step-by-step explanation:
Which algebraic expression represents this phrase?
the product of 50 and the number of employees
• A. 50
n
• B. 50 • n
• C. 50 + n
• D. 50 - n
Answers
Answer: B
Step-by-step explanation:
'Product' means to multiply, in this case, we are multiplying 50 and n.
Devi invested a principal of $2750 in her bank account with an interest rate of 1.5%. How much simple interest did she earn in 3 years?
Answers
To calculate the simple interest, we use the following formula:
(Principal) • (interest rate) • (time) = simple interest
Plugging the values in, we will find that:
$2,750 (our principal) • 0.015% (our interest rate represented by a decimal) • 3 (our time period in years) = $123.75 (our simple interest)
Ultimately, Devi made an investment and in 3 years earned a simple interest of $123.75.
On a map, 1 inch equals 20 miles. Of two cities are 3 inches apart on the map, how far are they actually apart?
Answers
Answer:
60 miles
Step-by-step explanation:
Since 1 inch on the map equals 20 miles, you just have to multiply 3 by 20.
3x20=60
What is the length of the apothem of the regular pentagon shown below? Round to one decimal place
Answers
The length of the apothem of the regular pentagon shown is 5.2 meters
How to determine the length of the apothem?Represent the central angle of the regular pentagon using x
The value of the central angle of the regular pentagon is then calculated as:
x = 360/n
Where n represents the number of sides
i.e n = 5
So, we have:
x = 360/5
Evaluate the quotient
x = 72
Represents the apothem with y.
The apothem is then calculated as:
tan(x/2) = (Side length/2)/Apothem
This gives
tan(72/2) = (7.6/2)/y
Evaluate the quotient
tan(36) =3.8/y
Multiply both sides by y
y tan(36) = 3.8
Divide both sides by tan(36)
y = 3.8/tan(36)
Evaluate the quotient
y = 5.2
Hence, the length of the apothem of the regular pentagon shown is 5.2 meters
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Help me pls this is due tomorrow I need help !!
Answers
Answer:
it's B.
Step-by-step explanation:
manuel knows that doubling either the width or length of a rectangle will double its area
Solve ARST.
R
S
72°
7
T
15
r
S
Answers
Answer:
r = 14.3s = 4.6S = 18°Step-by-step explanation:
You want the solution to right triangle RST with RS = 15, R = 72°, T = 90°.
Trig relationsThe mnemonic SOH CAH TOA reminds you ...
Sin = Opposite/Hypotenuse ⇒ r = 15·sin(72°) ≈ 14.3
Cos = Adjacent/Hypotenuse ⇒ s = 15·cos(72°) ≈ 4.6
The acute angles in a right triangle are complementary, so ...
S = 90° -R = 90° -72° = 18°
One thousand Charity raffle tickets are sold for $1 each. Winning tickets will be drawn in order,1st,2nd,3rd. First prize is $500. Second prize is $300. Third prize is $150. Tickets are replaced after each drawing so the probability of being draw for each prize is 1/1000. What is the expected value? I am stuck on this question and need help
Answers
Answer:
-$0.05
Explanation:
The expected value can be calculated as the sum of each possible prize multiplied by its probability. You will buy a ticket for $1 and there is a probability of 1/1000 to win the $500, a probability of 1/1000 to win $300, and a probability of 1/1000 to win $150, then the expected alue is
\(\begin{gathered} E=-1+500(\frac{1}{1000})+300(\frac{1}{1000})+150(\frac{1}{1000}) \\ E=-1+0.5+0.3+0.15 \\ E=-0.05 \end{gathered}\)Therefore, the expected value is -$0.05.
-10.3r = 1.03 what is R?
Answers
Answer:
r= -0.1
Step-by-step explanation:
Samantha’s annual college tuition is $18,541.89. The college offers a monthly payment plan of 9 equal payments. How much would each monthly payment be?
Answers
Answer:
18541.89/9 = $2060.21 is the answer
Step-by-step explanation:
Total college tuition = $18541.89
Number of equal payments = 9
Equal payments = 18541.89/9
= $2060.21
(Please do correct me if I'm wrong as I'm not completely sure)
Select the correct answer.
What is the equation of the line that has a slope of 1 and passes through the point (1,5)?
Y - 1 = (x + 5)y - 1 = (x + 5)
y - 5 = (x - 1)y - 5 = (x - 1)
y + 1 = (20 – 5)y + 1 = (x - 5)
y + 5 = (x + 1)y + 5 = (1 + 1)
Please I need answer ASAP!! I’ll make you brainliest!!
Answers
Answer:b
Step-by-step explanation:
Please I would like to have the answer for number 8
Answers
Problem Statement
The question asks us why the quotient of the division of two fractions is greater than the dividing fractions.
Solution
The reasons for this is that:
1. A number in the denominator is the same as multiplying by the reciprocal of that number.
That is,
\(\begin{gathered} \frac{3}{4}=3\times\frac{1}{4} \\ \\ \text{where,} \\ \frac{1}{4}\text{ is the reciprocal of 4} \end{gathered}\)2. Multiplying by the reciprocal of a fraction makes the fraction become greater than 1. That is,
\(\begin{gathered} \frac{3}{\frac{3}{4}}=3\times\frac{4}{3} \\ \\ \text{where,} \\ \frac{4}{3}\text{ is the reciprocal of }\frac{3}{4} \end{gathered}\)3. This, therefore, has the effect of multiplying a fraction by a number bigger than 1 to give a larger answer because of the multiplication operation rather than the lower value as expected in a division operation.
Consider the enlargement of the triangle with a scale factor of 8
2 cm
5 cm
8 cm
Side A = 2(8) = 16 cm.
What is the length of side B?
13
15
40
48
A
B
64 cm
Answers
Answer: side lengths of 8 centimeters times itself is 64 centimeters.
Step-by-step explanation:
If a shape is being enlarged by a scale factor of 2, the distance from the centre of enlargement to each vertex will be twice the size. The size of the shape will also be twice the size.
Therefore , the solution of the given problem of triangle comes out to be option (C) in the list of possible answers correlates to the length of side B after the enlargement, which is 40 cm.
What is a triangle exactly?If a polygon has more than one extra sections, it is a hexagon. It has a straightforward square form. Something like this configuration can only be distinguished from a conventional triangle by the sides A and B. The borders continue to be precisely collinear, but Euclidean geometry only yields a section rather than the entire cube. A triangular has three sides and three angles.
Here,
Using the same scale factor of 8, we must multiple the initial length of side B by 8 to determine the length of side B after the enlargement.
Side B's original length was 5 centimeters.
Side B's extended length is
=> 5 * 8 cm, = 40 cm.
As a result, option (C) in the list of possible answers correlates to the length of side B after the enlargement, which is 40 cm.
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6 * 10x^{-3}/8*10x^{-6}
Answers
The simplified form of the given expression, 6 × 10⁻³ / 8 × 10⁻⁶, is 3/4 × 10³
Simplifying an expressionFrom the question, we are to simplify the given expression
The given expression is
6 × 10⁻³ / 8 × 10⁻⁶
Simplifying the expression
6 × 10⁻³ / 8 × 10⁻⁶
This can be written as
6/8 × 10⁻³/10⁻⁶
Reduce the fraction
3/4 × 10⁻³/10⁻⁶
Apply the division law of indices
3/4 × 10⁻³ ⁻ ⁽⁻⁶⁾
3/4 × 10⁻³ ⁺ ⁶
3/4 × 10³
Hence, the value is 3/4 × 10³
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if the ratio of nonfiction to fiction books on a bookshelf is 2 to 3. If the total number of books is 30, how many of them were nonfiction
Answers
Answer: 20
Step-by-step explanation: imagine the books in 10's cuz 30/3=10 and 2 of those tens out of the group of three are nonfiction, so that makes 20 out of 30
^^^^^^^^^^
What is the product of the polynomials below (x-7) (x2+2x-5)
Answers
Answer: Option D
x^3-5x^2-19x-35
Step-by-step explanation: