Answer:
The Total length of the first swing=64 m.
Step-by-step explanation:
A jeepney ride cost 11 pesos for the first 4 kilometers and each additional integer kilometers adds 3.50 pesos to the fare, use a piece-wise function to represent the jeepney fare in terms of the distance f(d) in kilometers.
Answer:
[tex]f(d)=\left\{ \begin{matrix} 11 & \text{for} & 0< d\leq 4 \\-3+3.5d & \text{for}& d > 4 \end[/tex]
Step-by-step explanation:
Cost of first 4 kilometers ride = 11 pesos.
So, for the first 4 km, the fair is constant i.e.
for 1 km the fare is 11 pesos,
for 2 km the fair is also 11 pesos,
similarly, for 3 km of 4 km, the fare is 11 pesos.
Hence, for the distance [tex]0\geq d\geq 4[/tex], the fair function,
[tex]f(d)=11\cdots(i)[/tex]
After 4 km, there is an increment of $ 3.50 for each kilometer.
So, the fare function up to 5 kilometers,
[tex]f(d)=11+3.5=14.5[/tex]
So, the fare function up to 6 kilometers, i.e for the distance [tex]5<d\leq6[/tex],
[tex]f(d)=11+2\times3.5=18[/tex]
This can be arranged as the fare function up to 6 km,
[tex]f(d)=11+(6-4)\times3.5=18[/tex]
Similarly, the fare function up to [tex]d[/tex] kilometer [tex](n>4)[/tex],
[tex]f(d)=11+(d-4)\times3.5[/tex]
[tex]\Rightarrrow f(d)=-3+3.5d\cdots(ii)[/tex]
Hence, from equations (i) and (ii),
[tex]f(d)=\left\{ \begin{matrix} 11 & \text{for}\; 0< d \leq 4 \\-3+3.5d & \text{for}\; d > 4 \end[/tex]
If you spend 540 minutes per year waiting in lines, how many hours is this?
Answer:
540 minutes in hours =540/60
=9 hours
The time 540 minutes in hours will be 9 hours.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the time is 540 minutes. The value of time in hours will be calculated as,
The time of 60 minutes is equal to 1 hour. So divide the time 540 minutes by 60 minutes.
Time = 540 / 60
Time = 9 hours
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A man's age today is 2 years more than three time the age his son will be in 5 years from now. if a represent the age of the son write an expression to find the age of the man today
Answer:
3a*5 = (age of man) +2
Step-by-step explanation:
Find the best buy for
a)
shampoo if 8 ounces cost $0.99 and 12 ounces cost $1.47.
b) cereal if 31 ounces cost $1.50 and 16 ounces cost $0.77.
c) soda if 3 cans cost $1.77 and 5 cans cost $1.79.
PLEASE HELPPP
Answer:
A. 12 oz. for $1.47
B. 16 oz for $0.77
C. 5 cans for 1.79
Step-by-step explanation:
A. Divide them both, cost by quantity.
0.99/8=0.123
1.47/12=0.1225
The second option is better since its 0.005 less than the first option.
B. Again, divide both options.
0.77/16=0.04125
1.50/31=0.04838
Second option because it is 0.00713 cents cheaper.
C. 1.77/3=0.59
1.79/5= 0.36
Second option is .23 cents cheaper than the first option.
What is 797 rounded to the nearest ten?
Answer: 800
Step-by-step explanation:
Please include an explanation.
"a" varies directly as the square of "b" and inversely as the cube of "c". If a=171 when b=8 and c=9, find a if b=9 and c=6. Round your answer to two decimal places if necessary.
Answer:
a = 730.43
Step-by-step explanation:
The formula for this type of problem is [ a = kb²/c³ ].
We are given a = 171, b = 8 and c = 9.
Solve for k.
171 = k(8)²/(9)³
k = 1947.80
Solve for a since we found k using b = 9 and c = 6.
a = (1947.80)(9)²/6³
a = 730.425
Round to the nearest hundredth.
730.425 → 730.43
Best of Luck!
Answer:
730.42
Step-by-step explanation:
a varies directly with the square of b, and inversely with the cube of c. Therefore:
a = k b² / c³
where k is the constant of proportionality.
a = 171 when b = 8 and c = 9. So the value of k is:
171 = k (8)² / (9)³
k ≈ 1947.8
So the value of a when b = 9 and c = 6 is:
a = 1947.8 (9)² / (6)³
a ≈ 730.42
The two-way table below describes the car rental habits of sales representatives attending a conference.
What percentage of representatives staying at least two nights rented a car?
20%
44%
55%
79%
Answer:
44 bro
Step-by-step explanation:
The percentage of representatives staying at least two nights rented a car is 44%.
What is Percentage?Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.
So the percentage actually means a part per 100.
Percentage is usually denoted by the symbol '%'.
Given is a two way table.
From the table, the number of representatives staying at least 2 nights rented a car is 11.
Total number of representatives staying at least two nights = 14 + 11 = 25
Percentage = (11 / 25) × 100
= 0.44 × 100
= 44%
Hence the percentage for the required number is 44%.
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A can of fruit contains 411 grams. One gram is approximately 0.035 ounces. About how many ounces does the can contain?
Answer:
14.385 ounces
Step-by-step explanation:
Converting grams to ounces:
1g ----- 0.035 ounces
411g ----- ?
Since we multiply 411 to the left hand side, multiply the left hand side by 411 too.
411g
= 0.035(411) ounces
= 14.385 ounces
Thus, the can contains 14.385 ounces of fruit.
state which of the following sets of ordered pairs represents a function. Please pick the best option
Set A: (5, 2), (4, 3), (3, 4), (2, 5) Set B: (-1, -6), (0, 2), (1, 2), (3, 6)
Set B: (-1, -6), (0, 2), (1, 2), (3, 6)
Set C: (2, 1), (4, 2), (2, 3), (8, 4)
a. Set C
b. Set B
c. Set A
d. Set A and Set B
I would really appreciate it if you could help me out!
Answer:
set A and set B...it is the best and right option bro...option c is wrong because 2 elements of domain has relation with 1 range
2. What is the quotient if you divide 15 1/3 by 18/23
. which one of the following is not equal to the rest?
a. 2% of 150
b. 3 / 4 of 400
c. 5% of 60
d. 6% of 50
Answer:
a
Step-by-step explanation:
A quality control manager is inspecting four digital scales to see if they accurately reflect a weight of 0 ounces. The table shows the weight displayed on four empty scales.
Empty Scale Weight Displays
Scale 1
–1 ounce
Scale 2
–2 ounces
Scale 3
0 ounces
Scale 4
–1 ounce
What is the average error in the scale displays?
Answer:
-1 Ounces
Hope this was helpful!
Answer:
-1 ounce
Step-by-step explanation:
24+26
[tex]25 + 52[/tex]
Is 2|12 true or false
Answer:
true
Step-by-step explanation:
Because it is
9 - 5k = 12 - (6k + 7)
help
Answer:
k = 10
Step-by-step explanation:
9 - 5k = 12 - (6k + 7)
open the parenthesis
9 - 5k = 12 - 6k - 7
add 6k to both sides of the equation
9 - 5k + 6k = 12 - 6k - 7 + 6k
combine like terms
9 + k = 19
subtract 9 from both sides of the equation
9 + k - 9 = 19 - 9
k = 10
At a farmer’s market, a basket of strawberries costs $20 and a basket of peaches costs $18. On Saturday, 23 baskets were sold and $430 collected. If x represents the number of baskets of strawberries and y represents the number of baskets of peaches, how many baskets of peaches were sold on Saturday?
Answer:
The number of basket of strawberries are 8 and number of basket of peaches are 15.
Step-by-step explanation:
As given
x = represents baskets of strawberries .
y = represents baskets of peaches .
As given
At a farmer’s market, a basket of strawberries costs $20 and a basket of peaches costs $18.
On Saturday, $430 worth of strawberries and peaches were sold, and a total of 23 baskets were sold.
Than the equations becomes
x + y = 23
20x + 18y = 430
Multiply x + y = 23 by 20 and subtracted from 20x + 18y = 430.
20x - 20x + 18y - 20y = 430 - 460
-2y = -30
2y = 30
y = 15
Put y = 15 in the equation x + y = 23
x + 15 = 23
x = 23 - 15
x = 8
Therefore the number of basket of strawberries are 8 and number of basket of peaches are 15.
Answer:
D 15 baskets of peaches
Step-by-step explanation:
took the test
Can someone help ? Thankssss
Answer:
im not sure but I think is c
Lines m and n are parallel. What is
Answer:
Line m and m is a straight line
A grocery store sells a bag of 5 oranges for $3.00. What is the cost of oranges, in dollars per orange? On the double number line below, fill in the given values, then use multiplication or division to find the missing value
Answer:
0.6
Step-by-step explanation:
5:3
x:1
3x=5
x=0.6
A kilometer is 1,000 meters because kilo is a prefix that means 1,000. The prefix mega means 1,000,000 and giga (as in gigabyte) means 1,000,000,000. One byte is the amount of memory needed to store one letter of the alphabet. About how many of each of the following would fit on a 1-gigabyte flash drive?
Answer: 10 megabytes
10,000 kilobytes
Step-by-step explanation:
You purchase a total of 10 books. Some of the books are paperback and some are hardcover.
The number of paperbacks is two less than three times the number of hardcover books. How
many of each did you buy?
Answer
You bought 7 paperbacks and 3 hardcovers.
Step-by-step explanation: This doesn't seem college level! Jokes aside, you solve this with a system of equations. Your first equation is 10 = p + h, where p stands for the number of paperbacks and h stands for the number of hardcovers. Your second equation is p = 3h - 2, meaning that the number of paperbacks is triple the number of hardcovers minus 2. Now, you just have to plug in p = 3h - 2 into your first equation, and you get 10 = (3h - 2) + h. 4h = 12, and h = 3, meaning the number of hardcovers must be 3. All you have to do now is subtract 3 from 10, and you have 7, which is the number of paperbacks!
Out of the total number of 10 books bought, there were 3 hardcovers and 7 paperbacks
Paperbacks are two less than three times the hardcovers. Assume the hardcovers are x, the paperbacks would be represented as:
= 3x - 2
Solving would give:
10 = Paperbacks + Hardcovers
10 = 3x - 2 + x
10 = 4x - 2
4x = 10 + 2
x = 12/4
x = 3 hardcovers
Paperbacks:
= 10 - 3
= 7
In conclusion, there are 3 hardcovers and 7 paperbacks.
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fully reduce 18/10 plz i need help
Answer:
9/5
Step-by-step explanation:
Each student was asked to create an expression whose quotient is 1/3. each student and the response can be seen on table below.
Answer:hi I believe is is Ben and Elizabeth
Step-by-step explanation:
Mr. Townsend needs to make 13 pairs of butterfly wings for costumes for a play. Each pair of wings is made with ¾ yard of fabric. The fabric costs $8 per yard. You'll apply properties of multiplication in the following steps to find the total cost of the fabric.
Answer:
Step-by-step explanation:
1 pair of wings = 3/4 yard fabric
We know that 1 yard of fabric = $8
1 pair of wings = $8 x 3/4 = $6
Therefore total cost = $6 x 13 = $78
The total cost of the fabric is $ 78
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of pairs of butterfly wings = 13 pairs
The amount of fabric used in 1 pair of butterfly wings = 3/4 yards
The cost of 1 yard of fabric = $ 8
Now , the equation will be
The cost of 3/4 yard of fabric = 3/4 x cost of 1 yard of fabric
= 3/4 x 8
= 3 x 2
= $ 6
Now , the equation is
The total cost of fabric for 13 pairs of butterfly wings =
13 x cost of 3/4 yard of fabric
The total cost of fabric for 13 pairs of butterfly wings = 13 x 6
= $ 78
Therefore , the cost is $ 78
Hence , The total cost of the fabric is $ 78
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Determine whether the following graph represents a function.
PLZ HELP!! the picture is above
Answer:
yes it is a function
Step-by-step explanation:
1. You are conducting a survey of the people in the United States to find out how popular racket sports (tennis, badminton, racquetball, etc.) are. You randomly choose people to call and make 1,000 calls to people across the country. In this study, what is the statistics term for the people you called? A. Both the people of the U.S. and the people you call are populations B. The people of the U.S. are the population and the people you called are the sample C. The people of the U.S. are the sample and the people you called are the population D. Both the people of the U.S. and the people you called are samples
Answer:
welcome to brainly thanks for adding your first question i hope you enjoy it here at brainly
Step-by-step explanation:
D. Both the people of the U.S. and the people you called are samples
because if you choose a population and residents they would problaly give you the same things and others from the sample will give you different answers so d is your best bet
hope this helps enjoy brainly
NEED HELP ASAP PLEASE!!!!
The frequency tables below show the amount of weight loss during the first month of a diet program for both males and females. Identify the graph that shows the corresponding frequency polygons.
Answer: did you get the answer ?
Step-by-step explanation:
What is the inverse of the function f(x) = 1/4x – 12?
h(x) = 48x – 4
h(x) = 48x + 4
h(x) = 4x – 48
h(x) = 4x + 48
Answer:
h(x)=4x+48
Step-by-step explanation:
f(x) = 1/4x – 12
x=1/4y-12
x+12=1/4y
4x+48=y
h(x)=4x+48
the product of m and the sum of m and 82. Tranlate into a variable expression
Step-by-step explanation:
This expression will be;
m(m + 82).
quick easy math question please help write in fraction form brainliest will be awarded :)))
- [tex]\frac{5}{8}[/tex] + [tex]\frac{3}{4}[/tex]
Answer:
- 5/8 + 3/4 = 1/8
Step-by-step explanation:
I hope this helps!