f(m) = 5 + 0.5m is the algebraic expression that models the cost of taxi ride.
Here, we are given that the cost of taxi ride is 5 dollars plus 50 cents per mile.
This means that-
the fixed cost = $5
variable cost = 50 cents per mile = $0.5 per mile
Let the number of miles travelled be m
then the variable cost will be = $0.5m
The total cost is given as-
total cost = fixed cost + variable cost
total cost = 5 + 0.5m
⇒ f(m) = 5 + 0.5m
here, m = miles travelled
and f(m) = total cost of the taxi ride
Hence, f(m) = 5 + 0.5m is the algebraic expression that models the cost of taxi ride.
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How many 3-letter "words" can be formed from the standard 26-letter alphabet, if the first letter must be a vowel (A, E, I, O, or U)? (We aren't necessarily talking about English words; something like EQX is perfectly valid here.)
Answer:
3380
Step-by-step explanation:
There are five choices for the first letter, and 26 choices each for the middle and last letters.
So,
5*26*26=3380
Two fair dice one ble and one red are tossed define events E={A1on the ble die} F={the numbers are equal
Find P(E)=?
Probability of getting a 1 on the blue die, P(E) = 1/6
Given,
Two fair dice, one being blue and the other red.
E is the event of getting a 1 on the blue die.
F is the event of all the numbers being equal.
To find,
Probability of event E occurring, that is, the probability of getting a 1 on the blue die, P(E)
Probability (Event) = (Number of favourable outcomes) / (Total possible outcomes)
No of favourable outcomes = 6C1 = 6!/(5! x 1!) = 6
No of total possible outcomes = 36
Probability of event E occurring, that is, the probability of getting a 1 on the blue die, P(E) = 6/36 = 1/6
Therefore, by using two fair dice, one blue and one red, the probability of getting a 1 on the blue die is 1/6.
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Find the solution of the system of equations.
8x + 6y = 28
9x + 3y = 39
Identify the domain and range of each relation. Is the relation a function? Explain.
Answer:
Domain = city
Range = team
this is not a function, because each input should only have one output. There should not be 2 arrows coming out of a domain or known as the x.
The number of a certain bacteria in a sample of refrigerated food product is given by, n(c)=10c2-20c+600, where c is degrees Celsius. Evaluate n(5) and describe the meaning of your answer.
The number of bacteria in a sample of refrigerated food product at 5 degrees Celsius is 750
How to determine the valueGiven the function;
n(c)=10c² - 20c + 600
Where:
n represents the number of certain bacteria in a sample of refrigerated food product c is the degrees CelsiusTo determine n(5), we substitute the value of c as 5 degrees
We have;
n(5) = 10(5)² - 20(5) + 600
Find the square
n(5) = 10(25) - 100 + 600
n(5) = 250 - 100 + 600
n(5) = 750
Thus, the number of bacteria in a sample of refrigerated food product at 5 degrees Celsius is 750
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1. Classify the triangle shown to the right.
A. Right, Scalene
B. Acute, Isosceles
97
C. Obtuse, Scalene
13°
70
D. Equiangular, Equilateral
How do I solve this problem?
Marla bought twice as many pounds of cherries as grapes. She paid $15.00 for a total of 4.5 pounds of both items. Cherries cost twice as much as grapes. How much do grapes cost per pound?
For the grapes he paid 5.695 and the cherries 10.005. The cherries cost him $4.64 extra, which is the correct answer.
3 x 1.45 = 4.35
1.45 x .2 = .29
4.35 +.29 = 4.64
What are cherries ?A cherry is a fruit that is a fleshy drupe that is produced by numerous plants in the genus Prunus. Prunus avium and Prunus cerasus, two species with sweet and tart varieties, respectively, are cultivars from which commercial cherries are produced.
Cherries have a low calorie count and are packed with fiber, vitamins, minerals, nutrients, and other healthy elements. A, C, and K vitamins are provided. Potassium, magnesium, and calcium are also present in each fruit with a long stem. Beta-carotene, an antioxidant, and choline, a necessary nutrient, are also brought by them.
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please could you give me the answer?
The second bar representing Paris is misplaced.
The bar representing Munich is a bit larger than needed.
The bar representing Oslo is misplaced.
Jayla is at a family reunion and would like
to know what the range is, of the ages of
everyone present. Here are the ages of
everyone at her reunion:
35, 2, 7, 33, 25, 70, 75, 40, 42, 12, 15, 7, 44,
20, 25, 3, 65, 62
What is the range?
Solve the following equation for G. Be sure to take into account whether a letter is capitalized or not.
Answer:
[tex] G = R(3 + q^2) [/tex]
Step-by-step explanation:
Given the equation, [tex] 3 + q^2 = \frac{G}{R} [/tex].
We are to solve for G. In order words, make G the subject of the formula.
Thus:
[tex] 3 + q^2 = \frac{G}{R} [/tex]
Multiply both sides by R
[tex] (3 + q^2) \times R = \frac{G}{R} \tomes R [/tex]
[tex] R(3 + q^2) = G [/tex]
Rewrite
[tex] G = R(3 + q^2) [/tex]
You can decide to leave your answer like this or open the parentheses.
Help me out here real quick please
Answer:
25
Step-by-step explanation:
10÷1/4=25
answer both of these correctly PLEASE i'll give u so many bonus point + brainliest
Answer:
4. C
3. B
Step-by-step explanation:
adam is going to a carnival that has games and rides. each game costs $1.50 and each ride costs $3. Adam spent $15 altogether. number of games played was 3 times the number of rides. grapically solve
The number of games played is 6 and the number of rides is 2.
Here it is given that the number of games played was 3 times the number of rides. So, by this, we get the value of both is the ratio.
That is,
number of games played: number of rides = 3: 1
Let x be the common ratio. So, we have
Number of games played = 3x, and number of rides = x
It is given that the cost of each game is $1.50 and cost of each ride is $3 and the total cost is $15.
By this, we get an equation,
1.50 × 3x + 3 × x = 15
4.5x + 3x = 15
7.5x = 15
x = 2
Therefore the number of games= 3x = 3×2 = 6
The number of rides = x = 2
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PLS HELP I WILL MARK BRAINLIST IF CORRECT!!
Answer:
B
Step-by-step explanation:
Answer:
B) 8
Step-by-step explanation:
If you multiply 8 times 3, that will give you 24. But you'll have to subtract 6 afterwards. 24 - 6 is 18.
Order used:
P:arenthesis
E:xponents
M:ultipication
D:ivision
A:ddition
S:ubtraction
Multiplication comes before subtraction.
What is the range of the function?
Answer:
(0, 10)
Step-by-step explanation:
There is a dotted line at the end, therefore, it doesn't keep going so its (0, 10)
Help a brother out please
Answer:
Bethlehem has temperatures ranging from 33.8 Fahrenheit to 55.4 Fahrenheit.
Step-by-step explanation:
Hope you got it.
Y= |x| + 2
Complete the table below
Answer:
5
3
2
3
5
Step-by-step explanation:
the ratio of hotdogs to hamburgers is 8:3. if 272 hotdogs were sold how many hamburgers were sold.
Answer:
102 hamburgers
Step-by-step explanation:
Hotdogs: 8 272
Hamburgers: 3 HB
8/3=272/HB
3*272=8HB
816=8HB
HB=102
Which is the correct answer?
the answer is
[tex]B. \: {v}^{2} {w}^{2} + {15v}^{2} {w}^{3} + 2[/tex]
Hope this helps you!
Multiply. Write your answer as a fraction in simplest form. 2/3 x 1/11 x 3/5
2/55
Step-by-step explanation:Problem:
2/3 * 1/11 * 3/5 = ?
First, multiply all the numerators:
2 * 1 * 3 = 6
Next, multiply all the denominators:
3 * 11 * 5 = 165
Put the product of the numerator over the product of the denominator:
6/165
Find a GCF and divide both numbers by it:
6 / 3 = 2
165 / 3 = 55
Simplest Form:
2/55
Proportional graphs can be straight or curved. .
O True
O False
what’s the answer to this question
help please and hurry
Answer:
B. Twenty-three dollars is the price for each ticket
Step-by-step explanation:
The answer is B because 1 concert ticker is $23. If you buy 2 concert tickets, the price would go up by x2 $46. You are basically buying $23 for 1 concert ticket and $23 for each 1 concert ticket you buy. Hope this helps
Solve the distance, rate, time problem using a system of two linear equations in two variables.
A plane can travel 960 miles in 2 hours (120 minutes) with a tailwind. The return trip against the wind takes 2 hours and 40 minutes (160 minutes). Find the speed of the plane in still air and the speed of the wind.
Define two variables (state what each variable represents).
Set up a system of two linear equations using the two variables defined in part (A).
Solve the system of equations by addition or substitution.
State your answer as a sentence and include units.
Answer:
960 would be correct becasue it says it in the problem.
two decimals that are equivalent to the given decimal
4.200
Answer: 2.101 and 2.099
Step-by-step explanation:
there are many combination but this will work
HELP ME PLEASE I WILL PUT U AS BRILLIANT
Answer:
2 and 1/4
Step-by-step explanation:
3.5 - 1.25 = 2.25
2.25 as a mixed number is 2 and 1/4
Mark can walk 1.5 miles in 15 minutes how far can mark walk in 25 minutes
Answer:
Step-by-step explanation:
15min=1.5miles
25min=1.5*25=37.5/15
mark walks 2.5miles in 25minutes.
Answer:
2.5
Step-by-step explanation:
15/15 = 1
Do the same for 1.5/15 = 0.1 x 25 = 2.5
In a group of 100 students, 40 like Computer Science (group A), 30 like Philosophy
(group B), and 20 like both (group A∩B). If a student chosen randomly likes Computer
Science, what is the probability that they also like Philosophy?
Given:
Total number of student = 40
Students who like Computer Science (group A) = 40
Students who like Philosophy (group B) = 30
Students who like both (group A∩B) = 20
To find:
If a student chosen randomly likes Computer Science, what is the probability that they also like Philosophy?
Solution:
Let the following events,
A: Student like Computer Science
B: Student like Philosophy
Now,
[tex]P(A)=\dfrac{40}{100}=0.4[/tex]
[tex]P(B)=\dfrac{30}{100}=0.3[/tex]
[tex]P(A\cap B)=\dfrac{20}{100}=0.2[/tex]
We need to find the probability that the student like Philosophy if it is given that he likes Computer science, i.e, [tex]P(\dfrac{B}{A})[/tex].
Using conditional probability, we get
[tex]P(\dfrac{B}{A})=\dfrac{P(A\cap B)}{P(A)}[/tex]
[tex]P(\dfrac{B}{A})=\dfrac{0.2}{0.4}[/tex]
[tex]P(\dfrac{B}{A})=\dfrac{1}{2}[/tex]
[tex]P(\dfrac{B}{A})=0.5[/tex]
Therefore, the required probability is 0.5.
can anyone pls solve this, th
The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 42 students, requires 5 chaperones, and costs $1,200 to rent. Each van can transport 7 students, requires 1 chaperone, and costs $80 to rent. Since there are 588 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 588 students. Since only 75 parents have volunteered to serve as chaperones, the officers must plan to use at most 75 chaperones. How many vehicles of each type should the officers rent in order to minimize the transportation costs? What are the minimal transportation costs?
My friend justin hes already taken and hes cracked at fortnite my guy
Answer:
The minimum cost $9900, When 7 buses and 15 vans are rented.
Step-by-step explanation: