Answer:
60 km/hr
Step-by-step explanation:
First we will determine the speed of the bus following it's increase. The speed is increased by:
50m/9sec=50.60.60/9/1000 .km/hr=20 km/hr
Therefore, the new speed is V = 50 + 20 + = 70
km/hr. If x is the number of hours according to the schedule, then at the speed of 50 km/hr the bus travels from A to B within ( x + 42/60 ) hr. When the speed of the bus is V = 70 km/hr, the travel time is x -30/60 hr. Then:
50(x+42/60)=70(x-30/60)
5(x+7/10)=7(x-1/2)
7/2+7/2=7x-5x
2x = 7
x=7/2 hr
So, the bus is scheduled to make the trip in 3 he 30 minutes.
The distance between the two towns is 70 ( 7/2 – 1/2 ) = 70 • 3 = 210 km and the scheduled speed is:
270/7/2=60km/hr
Given P(A) = 0.44, P(B) 0.6 and P(An B) = 0.394, find the value of
P(AUB), rounding to the nearest thousandth, if necessary.
Given:
[tex]P(A)=0.44,P(B)=0.6,P(A\cap B)=0.394[/tex].
To find:
The value of [tex]P(A\cup B)[/tex], rounding to the nearest thousandth.
Solution:
We know that,
[tex]P(A\cup B)=P(A)+P(B)-P(A\cap B)[/tex]
On substituting [tex]P(A)=0.44,P(B)=0.6,P(A\cap B)=0.394[/tex], we get
[tex]P(A\cup B)=0.44+0.6-0.394[/tex]
[tex]P(A\cup B)=0.646[/tex]
Therefore, the value of [tex]P(A\cup B)[/tex] is 0.646.
Please help! Will give Brainliest!
What is the slope of the line containing the points (-4,-6) and (3,-4)
Answer:
got you right now
Step-by-step explanation:
the slope is -2\3
he line segment is rotated by 270 degrees counterclockwise about the origin to form C′D′. Which statement describes C′D′?
1. C′D′ is 4 units long.
2. C′D′ is 8 units long.
3. C′D′ is parallel to CD.
4. C′D′ is half the length of CD.
Answer:
it is parrell
Step-by-step explanation:
What’s the answer????(i will mark whoever answers the question right as Brainelist)
Solve for x
3x+7=57 pleas hurry
Answer: x=50/3
Step-by-step explanation:
Answer:
16.6 ( the 6 is repeated) or 16 and 2/3
Step-by-step explanation:
Take the 7 away which equals 50 and then divide by 3..
Sue invested $2400 at a 3% simple interest rate for 18 months. How much did she earn on her investment after the 18 months?
Answer:
sinple interest= principle*rate*time/100
SI= 2400*3*1.5/100
SI= 108
AMOUNT= SI + PRICIOLE
AMOUNT= 108+2400
AMOUNT= 2508
{ I converted 18 months to 1.5 years}
please help Moosa's sister is six years younger than 3 times his age. The sum of their ages is 30. How old is Moosa?
Answer: 9 years old
Step-by-step explanation:
The parts
Moosa= x
Moosa's sister = (3x-6)
and together x+(3x-6)=30
Solve for x to get 9 which means Moosa is 9 and Moosa's sister (older) is 21
The ordinate of every point on the x-axis is zero. True or false?
Answer:
true
Step-by-step explanation:
the first number is mostly known as 1 but actually is 0 because it is a separation between the negative and positive numbers
Find the missing length. The triangles in each pair are similar.
Answer:
........................................
Which function has a graph with
x-intercepts of (-2, 0) and (7,0)?
The photo is the answers
What is the unit rate for the proportional relationship represented by the equation y=4/5x
Answer choices:
A:4/5
B:-2
C:4
D:5
Answer:
A: 4/5
Step-by-step explanation:
The equation for proportionality is y = kx, where k is the constant of proportionality. That is what you're looking for in this question.
So in y = 4/5x, 4/5 is the constant of proportionality/unit rate for the proportional relationship.
The 4/5 is the constant of proportionality/unit rate for the proportional relationship.
We have given that,
the unit rate for the proportional relationship is represented by the equation y=4/5x.
We have to determine the unit rate
What is the equation of proportionality?The equation for proportionality is y = kx, where k is the constant of proportionality.
So in y = 4/5x,
The 4/5 is the constant of proportionality/unit rate for the proportional relationship.
To learn more about the proportionality visit:
https://brainly.com/question/24868934
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No links! Please!!
Factor 28x+12y using the GFC
Answer:
4(7x + 3y)
Step-by-step explanation:
28x+12y using GCF(greatest common factor)
gcf = 4
4(7x + 3y)
Answer:
4(7x+3y)
Step-by-step explanation:
28x+12y
Factor out the greatest commom factor "4"
4(7x+3y) is the answer
The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges
$2490 to rent trucks plus an additional fee of $200.75 for each ton of sugar. The second company charges $4500 to rent
trucks plus an additional fee of $100.25 for each ton of sugar.
For what amount of sugar do the two companies charge
the same?
What is the cost when the two companies charge the
same?
I think it's how you do this!
5495 + 200.75x = 7500 + 100.50x
100.25x = 2005
x=20 <- the amount of sugar at the equilibrium point.
7500 + 100.50(20)
7500 + 2005
$9505 <- the cost at that point. ■
Find the slope of the line through each pair of points.
I give brainliest,thankyou's,and star ratings cuz im like that
Algebra - Answers only - 2021 year - Fast and correct - Free Friends no charge
Answer:
1) ---> -1/26
2) ---> -4/1
3) ---> 11/2
4) ---> -8/11
Answer:
rsdjsdn
Step-by-step explanation:
67. There are 15 clarinet players, 12 flute
players, and 7 saxophone players in a
marching band. How many ways can the
band director create a trio consisting of
one clarinet player, one flute player, and
one saxophone player?
A. 34 ways
B. 187 ways
C. 1,260 ways
D. 1,500 ways
Answer:
A
Step-by-step explanation: add 15+12+7
if im write can i get a brainliest? plss:>
The band director can create a trio in 1,260 different ways.
Hence, option C is correct.
Use the concept of permutations,
The formula for permutations is,
⇒ [tex]^{n}P_{r}[/tex] = n! / (n - r)!
Where n is the total number of items and r is the number of items we are selecting.
So in this case, we have,
⇒ n = 15 clarinet players
⇒ n = 12 flute players
⇒ n = 7 saxophone players
⇒ r = 1 clarinet player,
1 flute player, and 1 saxophone player
To find the number of ways we can create a trio with one player from each instrument, we need to calculate,
⇒ ([tex]^{15}P_{1}[/tex]) x ([tex]^{12}P_{1}[/tex]) x ([tex]^{7}P_{1}[/tex])
⇒ ([tex]^{15}P_{1}[/tex]) = 15! / (15 - 1)!
= 15! / 14!
= 15
This represents the number of ways we can choose one clarinet player out of 15.
([tex]^{12}P_{1}[/tex]) ) = 12! / (12 - 1)!
= 12! / 11!
= 12
This represents the number of ways we can choose one flute player out of 12.
[tex]^{7}P_{1}[/tex] = 7! / (7 - 1)!
= 7! / 6!
= 7
This represents the number of ways we can choose one saxophone player out of 7.
So the total number of ways we can create a trio consisting of one clarinet player, one flute player, and one saxophone player is,
⇒ 15 x 12 x 7 = 1,260
Therefore,
The band director can create a trio in 1,260 different ways.
To learn more about permutations visit:
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1. Mike has 43 books in his library. He bought several books at a yard sale over the weekend. He now has 67 books in his library. How many books did he buy at the yard sale?
2. After paying 9 dollars for the pie, Sam has 87 dollars left. How much money did he have before buying the pie?
3. Last week Jason had 12 dollars. He washed cars over the weekend and now has 93 dollars. How much money did he make washing cars?
4. There are 31 pine trees currently in the park. Park workers will plant more pine trees today. When the workers are finished there will be 68 pine trees in the park. How many pine trees did the workers plant today?
5. Sam's high school played 14 hockey games this year. The team won most of their games. They were defeated during 3 games. How many games did they win?
6. Joan had 22 peaches left at her roadside fruit stand. She went to the orchard and picked more peaches to stock up the stand. There are now 76 peaches at the stand, how many did she pick?
7. Fred received 60 dollars for his birthday. He went to a sporting goods store and bought a baseball glove, baseball, and bat. He had 22 dollars left over, how much did he spent on the baseball gear?
8. How many ink cartridges can you buy with 204 dollars if one cartridge costs 17 dollars?
9. After eating at the restaurant, Mike, Joan, and Sally decided to divide the bill evenly. If each person paid 23 dollars, what was the total of the bill?
10. There were 11 bales of hay in the barn. Mike stacked more bales in the barn today. There are now 70 bales of hay in the barn. How many bales did he store in the barn?
I need your help.
Answer:
1- 24
2- $96
3- $7.75
4- 37
5- 11
6- 54
7- $38
8- 12
9- $46
10- 59
1. Write the balanced chemical equation for the reaction you are performing.
ANSWER
Mg+O---->MgO
This is the balanced chemical equation
2 BEC = 74°. What is 2 AED?
Answer:
AED is also 74
Step-by-step explanation:
they share the same crossing lines
Answer: 74
Step-by-step explanation:
What is 714.29+98.65
Answer:
812.94
Step-by-step explanation:
make sure to line up the decimal to each other to make sure the decimal is in the right place
the rectangle below has a perimeter of 120 in right an equation to solve for x and then calculate the length and width of the rectangle.
Answer:
I did what I can
Hope this helps :)
I need to know both of the questions please!
Answer: x=10 and angle RST is 75 degrees
Step-by-step explanation:
help plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
The second box is the answer
Step-by-step explanation:
Solution
V=whl=5·5·5=125
I don’t know if this is correct !!!!!!!!!! Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
The first one is correct. But why can't they be proven congruent
Step-by-step explanation:
what is the hypothesis of a triangle with a base of 11cm and height of 9cm
Answer:
14.21 cmExplanation:
you mean the hypotenuse* lol
the hypotenuse = √(11²+9²)
the hypotenuse = √(121+81)
the hypotenuse = √(202)
the hypotenuse ≈ 14.21 cm
?
5x+2y=-10
-3x - 2y=6
Solve by elimination I’m confused
need help ASAP, please
Answer:
1) D. 343.17
2) C but not sure
Step-by-step explanation:
1) area of triangle is 1/2* base* height= 1/2*18*24 = 216ft²
area of circle is πr²
area of semicircle is πr²/2
diameter=18
radius= 18/2=9
πr²/2 = (22/7* 9*9) / 2
=127.2 (approx)
total area = 127.2+ 216= 343.2
2) I dont know...I think C
How do you write 8.317 x 10^6 in standard form?
Answer:
[tex]8,317,000[/tex]
Step-by-step explanation:
[tex]8.317\times10^6[/tex]
Rewrite 10^6:
[tex]10\times10\times10\times10\times10\times10[/tex]
Solve:
[tex]8.317\times(10\times10\times10\times10\times10\times10)\\=8,317,000[/tex]
8,317,000 is your final answer!
6) Determine the dimensions of a rectangle if:
A = x2 – 19x – 90
Answer:
Step-by-step explanation:
Determine the dimensions of a rectangle if:
A = x2 – 19x – 90