Justin’s average speed on his was from Hyannis to Dennisport will be [tex]20[/tex] miles per hour and average speed on his trip from Boston to Dennisport will be [tex]35\frac{5}{9}[/tex] miles per hour.
What is average speed ?Average speed is s the total distance traveled by the object in a particular time interval.
Average speed [tex]=\frac{Total\ Distance}{Total\ Time}[/tex]
We have,
Distance from Boston to Hyannis [tex]=70[/tex] miles
Time from Boston to Hyannis [tex]=1\ hr\ and \ 45\ minutes = 105\ minutes[/tex]
Distance from Hyannis to Dennisport [tex]=10[/tex] miles
Time from Hyannis to Dennisport [tex]=30[/tex] minutes
So,
Total distance travelled [tex]=70+10=80[/tex] miles
Total time taken [tex]=105+30=135\ minutes[/tex]
[tex]= \frac{135}{60} \ hours= \frac{9}{4}\ hours[/tex]
So,
Average speed on his was from Hyannis to Dennisport [tex]= \frac{10}{\frac{30}{60} }[/tex]
[tex]=\frac{60}{3}=20[/tex] miles per hour
And,
Average speed on his trip from Boston to Dennisport [tex]=\frac{80}{\frac{9}{4} }[/tex]
[tex]=35\frac{5}{9}[/tex] miles per hour
Hence, we can say that Justin’s average speed on his was from Hyannis to Dennisport will be [tex]2[/tex]miles per hour and average speed on his trip from Boston to Dennisport will be [tex]35\frac{5}{9}[/tex] miles per hour.
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25.3 + x= 32 what is the answer to this problem
Answer:
6.7
Step-by-step explanation:
Answer:
6.700
Step-by-step explanation:
hope this helped
Help help me help help
PLEASE HELPP!!!!!!!!!!!
Answer:
Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh;
Step-by-step explanation:
(24cm + 14cm + 25cm) 10 + 2 × 14
hope this help pls mark me Branliest
The work of a student to solve the equation 3(2x - 4) = 8 + 2x + 6
Answer:
false
Step-by-step explanation:
3(2×−4)=8+2×+6
Multiply 3 and 2 to get 6.
6(−4)=8+2×6
Multiply 6 and −4 to get −24.
−24=8+2×6
Multiply 2 and 6 to get 12.
−24=8+12
Add 8 and 12 to get 20.
−24=20
Compare −24 and 20.
calculate each angle measure.
Answer:
m1=90
m2=68
m3=112
m4=112
m5=68
m6=56
m7=124
m8=124
Which ones are true?
Answer:
The first, third and last one are true
Teddy has 23 boxes of juice packed and plans to pack 3 additional boxes each hour. Charley has 7 boxes packed and plans to pack 5 additional boxes each hour. The equation below represents when Teddy and Charley will have packed the same number of boxes, based on x number of hours.
23 + 3x = 5x +7
After how many hours will Charley have packed the same number of boxes of juice as teddy?
Answer:
8 hours
Step-by-step explanation:
23 + 3x = 5x + 7
- 3x -3x
23 = 2x + 7
-7 - 7
16 = 2x
16/2 = 2x/2
x = 8
Answer:
BillyBob got it right, well explained..
Step-by-step explanation:
A garden table and a bench cost $907 combined. The garden table costs $43 less than the bench. What is the cost of the
bench?
907 - 43 = 864 / 2 = 432: 907 - 432 = 475
The garden table costs $432.
The bench costs $475.
475 + 432 = 907
I hope this helps! :)
Describe how to use the FOIL Method with (x+1)(x+2) as your example.
consider the line y= -9x + 5
Answer:
x= 5/9
Step-by-step explanation:
y=-9x+5
0=-9x+5
9x=5
x=5/9
what is 1 1/2 of 150 and what is 1/2 of 180
Answer:
1 1/2 of 150 is 225 and 1/2 of 180 is 90
Step-by-step explanation:
1 1/2 of 150 basically means 1 1/2 x 150, which equals to 225. 1/2 of 180 means 1/2 x 180 which is 90.
Answer:
1 1/2 of 150 is "225" and
1/2 of 180 is "90"
Step-by-step explanation:
1 1/2 of 150 basically means 1 1/2 x 150, which equals to 225. 1/2 of 180 means 1/2 x 180 which is 90.
Hope this helps :)
Problem 6 6 Previous Problem Problem List Next Problem (3 points) According to the 2010 United States Census, the population of a town was 98034, roughly a 27% increase from 77192 in 2000. blems Construct an exponential model to predict the town's population each decade. Use your model to predict the population of the town in 2050. (Express your answer rounded to the nearest whole person.) Hint: Note: You are in the Reduced Scoring Period: All additional work done counts 50% of the original. Preview My Answers Submit Answers Show me another You have attempted this problem 5
Answer:
125,148 to the nearest person
Step-by-step explanation:
Two students are throwing water balloons at a target. Accuracy is measured as how close the balloon is from the
center of the target. Tory's distances from the center of the target are approximately Normally distributed with a
mean of 123 mm and a standard deviation of 31 mm. Adam's distances from the center is approximately Normally
distributed with a mean of 108 mm and a standard deviation of 47 mm. If 5 attempts for Tory and 3 attempts for
Adam are randomly selected, what is the probability that the mean distance from the center of the target for Tory is
more than for Adam?
O 0.3113
O 0.4923
O 0.6887
O 0.7427
Answer:
0.6887
Step-by-step explanation:
Using normal distribution, the probability of that mean distance from the center of the target for Tory is more than for Adam is 0.6887.
What is normal distribution?
Normal distribution is "continuous probability distribution that its symmetrical around its mean with most values near the central peak".
According to the question,
Tory's distances from the center of the target are normally distributed with a mean of 123mm and a standard deviation 31mm. Number of attempts for Tory is 5.
Adam's distances from the center of the target are with a mean of 108mm and a standard deviation 47mm. Number of attempts for Adam is 3.
In order to find the probability of that mean distance from the center of the target for Tory is more than for Adam.
Normal distribution z = (x-μ)/σ x ~ (μ,σ)
When x = 108
z = (123 - 108)/47 [Adam's distances from the center of the target are normally distributed with a mean of 108mm and a standard deviation of Adam is 31mm.]
= 0.3191
P(x > 108) = P(z > - 0.3191)
= 1 - 0.3191 [since the probability of the normal curve is 1 and to find the area under tory mean is greater than the Adam mean only if we subtract 1 from z value]
= 0.6887
Hence, Using normal distribution, the probability of that mean distance from the center of the target for Tory is more than for Adam is 0.6887.
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Use the number line to answer the question below:
<—A——————-B————C—->
If AB = 7x - 24 and BC = 6x - 2, what is the value of AC?
a. 13x - 22
C. 13x - 26
b. 33
d. 46
Work Shown:
AC = AB + BC
AC = (7x-24) + (6x - 2)
AC = (7x+6x) + (-24-2)
AC = 13x - 26
This works because segment AC is split up into two parts AB and BC which don't overlap. Refer to the segment addition postulate.
Bronte walks 1.5 miles on a trail. Then he jogs at a speed of 5 miles per hour. Bronte's total distance walking and jogging is 5.25 miles. How long does he jog?
Answer:
3.75 hours.
Step-by-step explanation:
5.25-1.5 = 3.75
so 3.75 hour
A
Hope this helps plz hit the crown :D
2) The school theater has 17 rows of seats. Each row has 53 seats. Which statement explains how to find the closest estimation of the total number of seats in the theater? A) 17 rounds to 10, 53 rounds to 50, and 10 = 50 = 500 seats. B) 17 rounds to 10, 53 rounds to 60, and 10 x 60 = 600 seats. 9. 17 rounds to 20, 53 rounds to 50, and 20: 50 = 1.000 seats. D) 17 rounds to 20, 53, rounds to 60, and 20 x 60 = 1,200 seats.
Answer: c.) 17 rounds to 20, 53 rounds to 50, and 20: 50 = 1.000 seats
Step-by-step explanation:
*5 or more, add one more. 4 or less, give it a rest (leave it alone)*
17 rounds to 20
(the 7 is used to boost the 1 to a 2 since its more than 5, making it 20)
53 rounds to 50
(the 3 is less than 4 so we leave the 5 as is, making it 50).
Therefore, 20x50 = 1000 seats or 20:50=1000
If a shirt cost $60 is on sale for 50% off and you have another offer that gives you an additional 20% off the sale price does that mean you get a total of 70% off show your work to justify your answer
Answer:
No
Step-by-step explanation:
50 % off $60 =$30
20% off $30 =$6
But 70% =42
Therefore it's not the same as 70%
Given the perimeter find the unknown side length. P= 1,000 x =?
Answer:250
Step-by-step explanation:
a square had 4 sides, the perimeter is 1,000. 1,000/4+250 :)
The ratio of boys to girls in the class is 5:7. There are 36 children in the class. How many more girls than boys are there in the class? Use the tape diagram below to solve the problem.
Answer:
Step-by-step explanation:
ratio of 5:7 means that 5/(5 + 7) = 5/12 are boys and 7/(5 + 7) = 7/12 are girls
(5/12)(36) = 15 boys
(7/12)(36) = 21 girls
21 - 15 = 6 more girls than boys.
1.02 = _____ hundredths
102 hundredths
102/100
Square the binomial (2x-4)^2
Answer:
4x^2 - 8x +16
Step-by-step explanation:
(2x - 4)^2 can be looked at like this (2x - 4)(2x - 4) which can then be foiled
4x^2 -8x + 16, I presume that there is no equals zero so I don't think I can use the quadratic formula.
Thus it is 4x^2 - 8x + 16.
Solve three fourths times two thirds help meeeeeee
Answer:
1/2
Step-by-step explanation:
Zack buys some potatoes from a store. The potatoes cost $7.68 for 3 pounds. He wants to buy more vegetables, but at the same price per pound as the potatoes. Which of the following vegetables could Zack buy?
Answer:
23.04 i think pls mark brainliest
Step-by-step explanation:
100 POINT QUESTION!!!!!!!!!!!!!!!!!!!!!!!!!
Solve 7x2 – 3x – 10 = 0 using the quadratic formula.
Question 15 options:
A)
x = –2, 20∕7
B)
x = 20, –14
C)
image
D)
x = –1, 10∕7
Answer: D is my best guess
Step-by-step explanation:
Solve
46+(-4)
A. 50
B. 42
C. -42
D. -50
we have 46 + (-4) = 46 - 4 = 42
so the answer is B
ok done. Thank to me :>
What the difference between Infinity and undefined
Step-by-step explanation:
Infinity means that it has no end to something
And undefined means something can't be defined
Answer:
Undefined means, it is impossible to solve.
Infinity means, it is without bound.
What is 924 \ 6
Please explain how you did it
( BTW / stands for “divided by”)
Tell me if I’m reading this incorrectly just in case. Thanks!
Answer:
154
Step-by-step explanation:
use the bus stop method so you divide each number separately, starting from the left.
9 divided by 6=1 with a remainder of 3 because 1x6=6 and 9-6=3. Then you move that 3 over to the next number, the 2, to make it 32.
32 divided by 6=5 with a remainder of 2 because 5 x 6=30 and 32-30=2. Then you move that 2 over to the next number, the 4, to make it 24.
24 divided by 6 is 4.
So if you put all of those numbers together, it makes 154.
A carpenter used 1/3 able to finish of a box of nails while working on a birdhouse and was able to finish 1/5 of it. At this rate, how many boxes will he need to finish the entire birdhouse?
Answer:
He will need 1 and 2/3 boxes
Step-by-step explanation:
1/5= 1/3 boxes
5/5= 1/3* 5 boxes
Hope this helps!
Let me know if it does
answer me......
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........
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Answer:
Step-by-step explanation:
Okay! What times 9 is 90? 10!
what times 8 is 72? 9!
what times 7 is 56? 8
what times 6 is 42? 7!
what times 5 is 30? 6!
what times 4 is 20? 5!
what times 3 is 12? 4!
Do you see the pattern?
9=90
8=72
7=56
6=42
5=30
4=20
3=12
2=6
1=2
HOPE THIS HELPPEDD :3
If Ricardo walks 6 miles in 101 minutes, then how far will Ricardo walk in 110 minutes?
Write answer as a integer or a reduced fraction.
Step-by-step explanation:
Given:
6 miles ⇒ 101 minutesx miles ⇒ 110 minutesFind the values of x using proportions:
x = 6*110/101x = 660/101x = 6 54/101 milesor
x = 6.53 miles