Answer:
The answer is below
Step-by-step explanation:
a) Let x represent the time taken to drive to see the relatives and let d be the distance travelled to go, hence:
60 mi/h = d/x
d = 60x
When returning, they still travelled a distance d, since the return trip takes 1 h longer than the trip there, therefore:
40 mi/h = d/(x+1)
d = 40(x + 1) = 40x + 40
Equating both equations:
60x = 40x + 40
60x - 40x = 40
20x = 40
x = 40/20
x = 2 h
The time taken to drive there = x = 2 hours
b) The time taken for return trip = x + 1 = 2 + 1 = 3 hours
c) The distance d = 60x = 60(2) = 120 miles
The total distance to and fro = 2d = 2(120) = 240 miles
The total time to and fro = 2 h + 3 h = 5 h
Average speed = total distance / total time = 240 miles / 5 h = 48 mi/h
Multiply: -12y(y - 6) Enter the correct answer.
How many solutions are there to the equation below
7(x+2) = 7x-10
Answer: {No Solution}
Step-by-step explanation:
Find 23÷16 . Write in simplest form
Answer:
1 17 duhhhhhh
Step-by-step explanation:
Answer:
1 1/7
Step-by-step explanation:
Parking on campus is often expensive, and it is tempting to park illegally and take your chances on getting a ticket. From past experience, the probability of getting a ticket is about 0.30 on any given day, and because you always change your parking location, each day's outcome is independent of the previous day's outcome. The probability that you will NOT get a ticket on two days is
Answer:
P(not getting a ticket for 2 days) = 0.49
Step-by-step explanation:
We are told that the probability of getting a ticket on any given day is 0.3.
Thus;
P(getting a ticket a day) = 0.3
This means that;
P(not getting a ticket a day) = 1 - 0.3 = 0.7
Now, 0.7 is probability of not getting a ticket for 1 day. Since each day's outcome is independent of the previous day's outcome, it means that for n days, probability of not getting a ticket for n days will be;
P(not getting a ticket for n days) = 0.7ⁿ
For 2 days, its = 0.7² = 0.49
Thus;
P(not getting a ticket for 2 days) = 0.49
Roy made a scale drawing of a neighborhood park. He used the scale 1 millimeter : 9 meters.
The volleyball court is 2 millimeters in the drawing. How long is the actual volleyball court?
Answer: 18
Step-by-step explanation:
The scale says 1 mm : 9 m, so if the volley ball court is 2 mm then multiply by 9 to get it in meters. It would give you 18 m.
Rectangle A measures 8 inches by 4 inches. Rectangle B is a scaled copy
of Rectangle A and is multiplied by the scale factor 7. What are the
dimensions of Rectangle B?
Ida purchases a variety bag of taffy to share with her friends. The bag contains pieces with the flavors of blueberry, strawberry, and lemon. Ida wants to know how many pieces of each flavor are in the bag. She pulls 25 pieces from the bag at random and records their flavor. Her results are shown in the following table.
A: Given the results of Ida’s experiment, what is the probability that the next piece of taffy she pulls from the bag will be lemon-flavored?
B: If the bag contains a total of 200 pieces of taffy, how many of the pieces are likely lemon-flavored?
Select one answer for question A and one answer for question B.
(Table Below)
Flavor Count
blueberry 8
strawberry 5
lemon 12
Possible Answers:
A: 8/25
A: 12/25
A: 13/25
A: 3/5
B: 96 pieces
B: 40 pieces
B: 64 pieces
B: 100 pieces
Answer:
A. 12/25
B. 96 pieces
Step-by-step explanation:
A. For this, Ida got 12/25 lemon taffies, therefore the probability is the same.
B. The ratio of lemon to other taffies is 12/25. This means that for every 25 pieces of taffy, 12 of them are lemmon. If you multiply the numerator and denominator by 8, you get 96/200, which says that out of 200 pieces, 96 should be candy.
Please help me with this problem please ;(
9514 1404 393
Answer:
-2
Step-by-step explanation:
The average rate of change on the interval [3, 9] is ...
(f(9) -f(3))/(9 -3) = (41 -53)/(9 -3) = -12/6 = -2
Marti wants to buy a dress priced at $89.75. If the sales tax is 8%, what is the total amount she must pay for the dress?
A scaled drawing of a rectangle park is 5 inches wide and 7 inches long. The actual park is 280 yards long. What is the area of the actual park in square units?
Area of the actual park is 56000 square yards.
Step-by-step explanation:
A scale drawing of a rectangular park has dimensions as 5 inches width and 7 inches length.
Actual length of the park has been given as 280 yards.
So scale factor used in the drawing is 7 inches
= 280 yards
Or 1 inch = 40 yards
Since width of the rectangular park is = 5 inch
So actual width of the park will be = 5×40 = 200 yards
Now we can calculate the area of the park.
Actual area of the park = Length × Width
= 280×200
= 56000 yards²
Therefore, area of the actual park is 56000 square yards.
Write a rule that represents the function.
(1,1/2),(2,1/4),(3.1/8),(4,1/16),(5,1/32)
Answer:
Step-by-step explanation:
. cubesi, 20,64. AV 1,6,11,16... Add 5. 1, 2, 4, 8. . Multiply 2. $2,9,28,65... cubes add 1. 31,49,16 ...
A fair coin is tossed three times. What is the probability of obtaining one Head and two Tails?(A fair coin is one that is not loaded, so there is an equal chance of it landing Heads up or Tails up.) *
1/4
3/8
5/8
1/3
In the picture, what is the ratio of the number of circles to the number of squares? Select your answers from the drop-down list.
Answer:
3/6 ♀️
Step-by-step explanation:
the ratio of ten more than three times a number to the square of the same number is equal to ... Write an expression for the number of circles in the Nth figure.
Answer:
7 circles and 6 squares
Step-by-step explanation:
7 to 6
Can you please simplify c5 x c
Answer:
5c^2
Step-by-step explanation:
i think c is a variable so,
5xcxc = 5c^2
170% of what is 166?
Answer:
97.65
Step-by-step explanation:
97.65
Step-by-step explanation
Use the equation for the surface area of a cylinder, SA = 2^r2 + 2arh, where r is
the radius and h is the height. Find h if the surface area is 207.24 square inches and
the radius is 3 inches. Use 3.14 for it and round your answer to the nearest whole
number if needed.
Answer:
8inStep-by-step explanation:
the given formula in the question is not correct
here is the correct formula
S. A. =2πr^2 +2πrh
given that S.A=207.24
radius r= 3in
207.24=2*3.142*(3)^2 +2*3.142*(3)h
207.24=56.556 +18.852h
207.24-56.556=18.852h
150.684=18.852h
h=150.684/18.852
h=7.99
Approximately the height is 8in
You accept a job salary of $36,700. After 6 months you receive a 4% raise. What’s your new salary?
Answer 25:
Step-by-step explanation:
please help me with this question
Answer:
2c^2
Step-by-step explanation:
c3-c1=c2
d2-d2=0
8/4=2
1 Five friends went to the movies and each spent $5 on a ticket per movie and $2 on a bag of popcorn. They saw 2 movies. The movies also had a deal of pizza and a large bottle of soda for $12, which they split. How much did each friend pay for the movie trip and pizza?
Answer:
I think they spent altogether $72
Step-by-step explanation:
Since each person had a ticket, five friends would have $25 worth of tickets. Since they watched 2 movies, you would do 25 times 2 and get 50. Since they all had one bag of popcorn for $2, they would have to pay $10 for the popcorn. And since they had to spend $12 for the pizza and the large bottle of soda, they would've spent $72 altogether for the movie trip and the pizza. Hope this helps! Have a great day!
Which of the following is a prime number? A 14 B 2 C 18 D 33
Answer:
B is a prime number
Step-by-step explanation:
The definition of a prime number is if the number is divisible by itself and one. 14 is divisible by 7, 18 is divisible by 6, and 33 is divisible by 11 and 3...... Only two among all these numbers has 2 factors: It is divisible by one and itself, 2.
Therefore the answer is 2!
Please help me out! Help me please! This is so important!
The ratio of girls to boys in a primary school is 4:5. If there are 24 girls, how many boys are there? Help!
Answer:
there are 30 boys
Step-by-step explanation:
If there is 24 girls you divide that by 4 and you get six so that means you multiply with six and you get 30.
A ratio of 4:5 means that for every 4 girls, there are 5 boys.
24 girls / 4 girls = 6
5 * 6 = 30 boys
There are 30 boys if there are 24 girls
0.05% of all tax returns filed electronically contain errors, but 20% of all tax returns filed manually contain errors. If 3.3 million tax returns are filed each way, how many more manually filed returns containing errors will there be than electronically filed returns containing errors?
a.
330,825
b.
643,500
c.
321,750
d.
658,350
Answer: d. 658,350
Step-by-step explanation: A total of 3,300,000 of tax returns are filed.
When filed electronically, 0.05% of all the returns contain errors, which means:
3,300,000 * [tex]\frac{0.05}{100}[/tex] = 1650
When filed manually, 20% contain error:
3,300,000 * 0.2 = 660000
The difference of the number of tax returns that contain error between manually and electronically filed is
660,000 - 1,650 = 658,350
There will be 658,350 tax returns filed manually more than electronically.
The number of manually filed returns containing errors will there be than electronically filed returns containing errors is: d. 658,350.
Number of manually filed return:Using this formula
Number of manually filed returns=(Tax returns filed manually contain errors×Tax return)- (Tax returns filed electronically contain errors× Tax return)
Let plug in the formula
Number of manually filed returns=(20%×3.3 million)-(0.05%×3.3 million)
Number of manually filed returns=660,000-1650
Number of manually filed returns=658,350
Inconclusion the number of manually filed returns containing errors will there be than electronically filed returns containing errors is: d. 658,350.
Learn more about number of manually filed returns here:https://brainly.com/question/1799908
8 tomatoes for $2 unit rate
I don't have much so please 17
11. In the figure, AC = 24 and AB = BC. Point D (not shown) is on the line between A and B such that AD = DB.
What does DC equal?
Answer with step-by-step explanation:
If AD = DB, then D would be the midpoint of AB. If AB = BC, then B would be the midpoint of AC. If so, lets add another point called E. E is the midpoint of BC, which would divide AC into fourths. DC = DB + BE + EC. So, DC is 3/4 of 24, which is 18.
Hope this was helpful!
anybody know this and can help me ?
What is the value of the product (4 – 2i)(6 + 2i)?
Answer:
D
Step-by-step explanation:
Edg2020
Looking at the equation, 5x + 6 = 46, will
x = 7 make the equation true?
Why or why not?
Answer:
This is not true so x=7 is not a solution
Step-by-step explanation:
5x + 6 = 46
Let x = 7
5*7 +6 = 46
35+6 = 46
41 = 46
This is not true so x=7 is not a solution
0.005 is 1/10 of 0.05 true or false
Answer:
i got 1/2000
Step-by-step explanation:
which is an example of a non-renewable resorce?
Answer: Fossil Fuels such as coal and oil
Step-by-step explanation:
Z+(z-6)-2=-10
How donI solve this?
Answer:
z = -1
Step-by-step explanation:
Simplifying
z + (z + -6) + -2 = -10
Reorder the terms:
z + (-6 + z) + -2 = -10
Remove parenthesis around (-6 + z)
z + -6 + z + -2 = -10
Reorder the terms:
-6 + -2 + z + z = -10
Combine like terms: -6 + -2 = -8
-8 + z + z = -10
Combine like terms: z + z = 2z
-8 + 2z = -10
Solving
-8 + 2z = -10
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + 2z = -10 + 8
Combine like terms: -8 + 8 = 0
0 + 2z = -10 + 8
2z = -10 + 8
Combine like terms: -10 + 8 = -2
2z = -2
Divide each side by '2'.
z = -1
Simplifying
z = -1
Answer:
z= -1
Step-by-step explanation:
Simplifying
z + (z + -6) + -2 = -10
Reorder the terms:
z + (-6 + z) + -2 = -10
Remove parenthesis around (-6 + z)
z + -6 + z + -2 = -10
Reorder the terms:
-6 + -2 + z + z = -10
Combine like terms: -6 + -2 = -8
-8 + z + z = -10
Combine like terms: z + z = 2z
-8 + 2z = -10
Solving
-8 + 2z = -10
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + 2z = -10 + 8
Combine like terms: -8 + 8 = 0
0 + 2z = -10 + 8
2z = -10 + 8
Combine like terms: -10 + 8 = -2
2z = -2
Divide each side by '2'.
z = -1
Simplifying
z = -1