Step-by-step explanation:
let the total number of students in each bus be 'b',
Total number of students in 9 buses= 9b
Total number of students in cars= 9
Hence, Total number of students= 9b+9
= 414
Number of students in each bus = (414-9)/9
A town's population is 43,650. About 125 people move out of the town each month. Each month, 200 people on average move into town. A nearby town has a population of 45,675. It has no one moving in and an average of 150 people moving away every month. In about how many months will the populations of the towns be equal? Write an equation to model the situation. Then solve the equation and answer the question. Which equation mode +
Answer:
After 7 months population will be same.
(43425 + 75x) = (45000 - 150x)
Step-by-step explanation:
Population of a town = 43425.
Number of people moving out of the town = 125 per month
Number of people moving in = 200 per month
On an average number of people increasing every month = 200 - 125
= 75
Population of the nearby town = 45000
Number of people moving in = 0 per month
Number of people moving out = 150 per month
Let after x months number of population will be same.
So the equation will be (43425 + 75x) = (45000 - 150x)
1). By solving this equation we can get the number months when the population of both the towns will be same.
43425 + 75x = 45000 - 150x
43425 + 75x + 150x = 45000
75x + 150x = 45000 - 43425
225x = 1575
x = 1575/225
x = 7 months
A man walks for x hours at a speed of
(x + 1) km/h and cycles for (x - 1) hours at
a speed of (2x + 5) km/h. If the total distance
travelled is 90 km, x
Given:
A man walks for x hours at a speed of (x + 1) km/h and cycles for (x - 1) hours at a speed of (2x + 5) km/h.
Total distance travelled is 90 km.
To find:
The value of x.
Solution:
We know that,
[tex]Speed=\dfrac{Distance}{Time}[/tex]
[tex]Speed\times Time=Distance[/tex]
A man walks for x hours at a speed of (x + 1) km/h, so walking distance is
[tex]D_1=(x+1)(x)[/tex] km
The man cycles for (x - 1) hours at a speed of (2x + 5) km/h, so the cycling distance is
[tex]D_2=(2x+5)(x-1)[/tex] km
Now,
Total distance = 90 km
[tex]D_1+D_2=90[/tex]
[tex](x+1)x+(2x+5)(x-1)=90[/tex]
[tex]x^2+x+2x^2-2x+5x-5-90=0[/tex]
[tex]3x^2+4x-95=0[/tex]
[tex]3x^2+19x-15x-95=0[/tex]
[tex]x(3x+19)-5(3x+19)=0[/tex]
[tex](3x+19)(x-5)=0[/tex]
[tex]3x+19=0\text{ and }x-5=0[/tex]
[tex]x=\dfrac{-19}{3}\text{ and }x=5[/tex]
Time cannot be negative. So, the only possible value of x is 5.
PLZZ HELP ME
Oscar lends his brother $125.00 and charges him 5% interest. How much will Oscar's brother pay back for the loan in total?
A.
$118.75
B.
$130.00
C.
$131.25
D.
$187.50
Answer:
125/100 X 105 = 131.25
loan total = $131.25
Please help me! Only answer if you know it and I’ll mark you brainiest
Answer:
BD = 13x +27Step-by-step explanation:
according to the rectangle theory
the diagonals of a rectangle bisect each other.thus,
AC = BDwe can write AC as AE+ CE
11x -18 + 2x+45 = BD
13x + 27 = BDhope it helps:)
If school starts at 8:30 a.m. and ends at 3:20 p.m., how long is the school day?
6 hours and 10 minutes
11 hours and 50 minutes
5 hours and 10 minutes
6 hours and 50 minutes
Answer:
50 min 5 hours
Step-by-step explanation:
Answer: 6 hours and 50mins
Step-by-step explanation:
BRAINLIEST AND 50 POINTS!!!!! Choose the best answer
∠FOA 40 140 90 130 50
∠COA 40 140 90 130 50
∠DOA 40 140 90 130 50
Answer:
2nd one COA 40 140 90 130 50
Step-by-step explanation:
IF IM WRONG TELL ME AND I HELP YOU OUT AGAIN
Answer:
A=180 B=150 C=130 D=90 E= 60 F=40
Step-by-step explanation:
A=180 B=150 C=130 D=90 E= 60 F=40
Nixon estimates it will take him 5 hours to finish an art project.It actually takes him 320% of the time estimated.How many hours did it take him to finish the project?
Answer:
16hours
Step-by-step explanation:
Amount of hours Nixon took = 5hours
If it takes 320 % of his time, then he took him 320% of 5hrs to finish
This is express as shown
320% of 5
= 320/100 ×5
= 320/20
= 16
Hence it took him 16 hours
Answer:
Step-by-step explanation:
320/100 = 3.2
3.2 x 5
=16
Need help kinda stuck on this one!
Please help ASAP I'm willing to give Brainiest
49. You have been asked to place a warehouse so that it is an equal distance from the three roads indicated on the following map. Find this location and show your work.
a. What constructions would you need to perform to accomplish the task?
b. What is the point called where you will place the warehouse?
Not sure about part a, but the answer to b is the central configuration
Step-by-step explanation:
help please will give brainiest
Answer:
the first one
Step-by-step explanation:
factorize 2x² - 5x+ 2x - 5
Answer:
(x+1)(2x-5)
Step-by-step explanation:
Answer:
(x+1)(2x-5)
Step-by-step explanation:
answer correctly for brainliest +10 points!
plz help will give brainlyest
top one : frame A.
bottom one : 6 inches
Answer:
Give brainliest to the other person who answered
Step-by-step explanation:
Have a fantastic day!
Can someone please answer this with step please.
Answer:
It is the sedond one
Step-by-step explanation:
7n, 4n because they have the same variable, n.
In preparation for an Easter egg hunt,4 blue eggs are filled for every 7 green eggs. How many green eggs will be filled if 100 blue eggs were filled?
Answer:
175 green eggs
Step-by-step explanation:
The ratio of blue eggs to green eggs that are filled is 4/7
You can make a proportion:
4/7 = 100/x
x is the number of green eggs filled (x is the answer to the problem.
If you cross-multiply then it will be 700 = 4x
divide by 4 on both sides and x would equal 175.
A train is travelling with a velocity of 15m/s.
It then accelerates at 0.5 m/s2 for 6 seconds.
Use the formula v=u+ at to calculate the velocity of the train after the 6 seconds.
Given that,
Initial speed, u = 15 m/s
Acceleration, a = 0.5 m/s²
Time, t = 6 s
To find,
Velocity after 6 seconds.
Solution,
Let v is the velocity of the train.
Using equation : v = u +at
Put all the values,
v = 15 +0.5(6)
= 15 + 3
= 18 m/s
So, its final velocity is 18 m/s.
Question 1 (2 points)
Find the slope and y-intercept for the graph below.
m
b
Answer:
The slope is:
[tex] \frac{5}{2} [/tex]
The y-intercept is:
-3
The total cost for a chair, a desk, and a lamp is $562. The desk costs four times as much as the lamp and the chair costs $23 less than the desk. Find the cost of each item.
2a^2 + 11a + 15 = 0 factorise
Answer:
The answer is (2a + 5)(a + 3).
Step-by-step explanation:
The steps are :
2a² + 11a + 15 = 0
2a² + 6a + 5a + 15 = 0
2a(a + 3) + 5(a + 3) = 0
(2a + 5)(a + 3) = 0
16 Use the Empirical Rule. (Do not use technology. Technology will give a slightly different answer.)
Draw a sketch of the normal distribution and label the mean and 1, 2, and 3 standard devitons above and
below the mean with computed values.
Assume that the weight of 1-year-old girls in the USA is normally distributed with Mean = 9.5 kg, Standard
Deviation = 1.1 kg.
(a) 68% of the data is between which 2 values? 8.4 oro kg -- 10.0 kg
(b) 95% of the data is between which 2 values? 7.3 kg - 11. oo kg
(c) What percentage of the data is less than 8.4 kg?
(d) What percentage of the data is between 7.3 kg and 11.7 kg?
(w) What percentage of the data is more than 12.8 kg?
Answer:
a)8.4kg to 10.6kg
b)7.3 kg to 11.7kg
c)16%
d) 95%
e) 0.15%
Step-by-step explanation:
The empirical rule formula states that:
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ
From the question,
Mean(μ) = 9.5 kg,
Standard Deviation (σ) = 1.1 kg.
a) 68% of the data is between which 2 values?
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .
μ - σ
= 9.5kg - 1.1kg
= 8.4kg
μ + σ
= 9.5kg + 1.1kg
= 10.6kg
Therefore, 68% of the data is between 8.4kg to 10.6kg
(b) 95% of the data is between which 2 values?
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
μ - 2σ
9.5kg - 2(1.1)kg
9.5kg - 2.2 kg
= 7.3kg
μ + 2σ
9.5kg + 2(1.1)kg
9.5kg + 2.2 kg
= 11.7kg
Therefore, 95% of the data is between 7.3 kg to 11.7kg
(c) What percentage of the data is less than 8.4 kg?
We need to find how many standard deviations from the mean 8.4kg is, in order to know the percentage it falls under
μ - xσ = 8.4kg
= 9.5kg - 1.1x = 8.4kg
9.5 - 8.4 = 1.1x
1.1 = 1.1x
x = 1.1/1.1
x = 1
Hence, the percentage it falls under according to Empirical rule = 68%
The percentage of the data that is less than 8.4 kg is calculated as:
100 - 68/2 = 32/2 = 16%
(d) What percentage of the data is between 7.3 kg and 11.7 kg?
We have to find the Standard deviation that they fall under
For 7.3 kg
μ - xσ = 7.3kg
= 9.5kg - 1.1x = 7.3kg
9.5 - 7.3 = 1.1x
2.2 = 1.1x
x = 2.2/1.1
x = 2
μ + xσ = 11.7kg
= 9.5kg + 1.1x = 11.7kg
11.7 - 9.5 = 1.1x
2.2 = 1.1x
x = 2.2/1.1
x = 2
Therefore, based on the calculation above and the empirical formula rule, the percentage of the data is between 7.3 kg and 11.7 kg is 95%
(e) What percentage of the data is more than 12.8 kg?
μ + xσ = 12.8kg
9.5kg + 1.1x = 12.8kg
= 12.8- 9.5 = 1.1x
3.3 = 1.1x
3.3 = 1.1x
x = 3.3/1.1
x = 3
Hence, the percentage it falls under according to Empirical rule = 99.7%
The percentage of the data that is more than 12.8kg is calculated as:
100 - 99.7/2 = 0.3/2 = 0.15%
heyheyhey ( I HATE ONLINE SCHOOL STUFF)
Answer:
Same!
Step-by-step explanation:
Answer:
same
Step-by-step explanation:
Need help asapppppp!!!!
Answer:
..
Step-by-step explanation:
You can easly calculate this.. then compare..
Example :
1/5 = 0.2
1/4 = 0.25
Then 1/4 > 1/5
Can you solve this math minigame first?
Don't use a calculator.
Whoever gets the most right wins and gets brainliest
Goodluck
----------------
1 x 4
4 x 4
2 x 5
10 x 10
9 x 9
8 x 8
6 x 6
6 x 5
7 x 8
100 x 100 <= solve for THREE points
50 points please help
Answer:
What are in the boxes?
Step-by-step explanation:
Can you show the text in the choose box please?
Jane and Chris sell candles to earn money. Jane spent $20 to create her candles and sells candles for $3 each. Chris spent $40 to create his candles and sells candles for $5 each. How many candles will Jane and Chris have to sell in order to earn the same profit?
Answer:
10 candlesStep-by-step explanation:
Jane's caldles:
Cost = $20, Price = $3 per candleChris's candles:
Cost = $40, Price = $5 per candleProfit, if equal per x candles is:
3x - 20 = 5x - 405x - 3x = 40 - 202x = 20x = 10Each will have profit of $10 if 10 candles sell
please help!
Is (2, 10) a solution of y > 4x + 1?
Yes, (2, 10) is a solution of y > 4x + 1.
No, (2, 10) is not a solution of y > 4x + 1.
Answer:
yes is the answer took the test yesterday
Step-by-step explanation:
Help please!
The numbers are 152° and 28°
Answer:
62
Step-by-step explanation:
152-90= 62
please help me with number 8. part A and B. it’s a test
Answer:
Dude divide the amount of money small loaves cost by $97 and then do the same but with the amount of money the loaves cost
6785∆4 is a 6-digit number with one of its digit represented by ∆. What can be the value of ∆ if 6785∆4 is divisible by 9
Answer:
6
Step-by-step explanation:
If the sum of the digits of a number is divisible by 9, then the number is divisible by 9.
So 6+7+8+5+Δ+4 = Δ + 30 has to be divisable by 9, and of course 0≤Δ≤9
36 is divisable by 9, so Δ has to be 6.
The value of the number which will make it divisible by 9 will be 6.
Based on the information given, we've to find a number that will give a value without a remainder.
Therefore, if we use 6, the number will be 678564. Then, we can divide by 9 and it'll be.
= 678564/9
= 75396
Therefore, the number is 6.
Learn more about division on:
https://brainly.com/question/4320580
Distribute and Simplify: (p + 3)5
Answer:
5p+5
Explanation:
5(p+3)
(5*p)+(5*3)
5p+5