There were 40 tourist class passengers and 12 first class passengers.
Explanation:
Let the number of passengers who booked for tourist class be
=
x
Then, number of passengers who booked for first class
=
52
−
x
According to question,
Total money paid = $25(tourist class)+$30(first class)
$
1360
=
$
25
(
x
)
+
$
30
(
52
−
x
)
1360
=
25
x
+
1560
−
30
x
1360
−
1560
=
25
x
−
30
x
−
200
=
−
5
x
x
=
−
200
−
5
x
=
40
So, there were 40 tourist class passengers.
Now first class passengers
=
52
−
x
=
52
−
40
=
12
∴
There were 40 tourist class passengers and 12 first class passengers.
As a check
Total money paid = $25(tourist class)+$30(first class)
R
H
S
=
$
25
(
40
)
+
$
30
(
12
)
$
1000
+
$
360
=
$
1360
L
H
S
=
$
1360
Hence verified.
Given that f(x) = x2 + 10x + 21 and g(x) = x + 7, find (f•g)(x) and express
the result in standard form.
Answer:
[tex](f.g)x = {x}^{2} + 24x + 140[/tex]Step-by-step explanation:
[tex]given \\ f(x) = x ^{2} + 10x + 21 \: and \: g(x) = x + 7[/tex]
[tex]as \: we \: know \: (f.g)x \: is \: same \: as[/tex]
[tex]f(g(x))[/tex]
[tex]so \: [/tex]
[tex]f(x + 7) = ( x + 7) ^{2} + 10(x + 7) + 21[/tex]
[tex]f(x + 7) = {x}^{2} + 14x + 49 + 10x + 70 + 21[/tex]
[tex]f(x + 7) = x^{2} + 24x + 140[/tex]
[tex]therefore [/tex]
[tex](f.g)x = {x}^{2} + 24x + 140[/tex]
There are 100 dekameters in 1 kilometer. How many dekameters are in 8.5 kilometers?
Answer:
850.
You just multiply the 8.5 by 100.
Answer:
850
Step-by-step explanation:
50 dkms(dekameters) in 0.5 km(kilometer)
8.5/0.5 =17
17*50 = 850
Marcus was asked to find out what affects the strength of electromagnets. He was given a simple electromagnet made from a coil of wire and a power supply.
What variables could Marcus investigate?
Answer:
bncjk make sure bgfdf hi olb f see him be see vg hhzch
What value could you write in after 3x that would make the equation true for all values of x?
3x+12 = 3x+
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Identity property/ Associative Property
what is the value of x ?
Answer:
6
Step-by-step explanation:
Find 22÷(−2) need help
Answer:
-11...................
Answer:
-11
Step-by-step explanation:
22/2=11
its negative so make it negative
The length of a rectangle is 5 yd less than twice the width, and the area of the rectangle is 52 yd^2. Find the dimensions of the rectangle.
Answer:
the length is 8 and the width is 6.5
Step-by-step explanation:
6.5 x 2 = 13 - 5 = 8 x 6 = 52
The Calculator can confirm.
please please please help
Answer:
Equation 1: 15+7h
Equation 2: 10h
Sorry can't graph for you
Step-by-step explanation:
Can somebody help me with the last 2. Will mark brainliest.
Two identical sets of data are shown below.
Data Set 1: 58, 59, 62, 64, 67, 67
Data Set 1: 58, 59, 62, 64, 67, 67
An outlier is added to Data Set 2. Which of the following statistics must be greater in Data Set 2 when compared to Data Set 1 now that the outlier has been added? Select TWO that apply
mean
standard deviation
mode
median
range
Answer:
Standard deviation RangeStep-by-step explanation:
Two identical sets of data are:
Data Set 1: 58, 59, 62, 64, 67, 67 Data Set 2: 58, 59, 62, 64, 67, 67An outlier is added to Data Set 2. This is the number that is either smaller than 58 or greater than 67.
Mean
No, it could be greater or smallerStandard deviation
Yes, it will increase with an outlier added because the difference between the added number and the mean will be the greatest.Mode
No, it could be greater or smallerMedian
No, it could be greater or smallerRange
Yes, it will increase as either lower or the higher value will be added to the data set.Can someone help me with this: Write a word phrase that equals the equation x + 7x = 1200.
Answer:
A number plus seven times itself equals 1200.
Step-by-step explanation:
The number is "x", and 7 times itself is 7 "x". When one adds the two, they get 1200. Hence it models the situation;
x + 7x = 1200.
Answer:
Step-by-step explanation:
marc has x amount of money. His mom offers to give him seven times his money as a Christmas gift. when he combined, his starting money and what his mom gives him, it added up to $1200. What was marc’s starting money (x)
(PLEASE HELP I WILL GIVE BRAINLIEST) Mr. Kircher has a coupon for 30% off to purchase a KV sweatshirt. The sweatshirt was originally priced at $40.
What is the amount of the discount that Mr. Kircher will save?
Answer:
$12
Step-by-step explanation:
30% of 40 = 12
Answer:
its 28.00
Step-by-step explanation:
trust me
Which statements accurately describe how to determine the y-intercept and the slope from the graph below?
(ANSWERS ARE ALSO IN A PHOTO)
Answer:
C) The third option. To find the y intercept move vertically, to find the slope, y2-y1/x2-x1
Step-by-step explanation:
Find the missing number.
Answer:
48
Step-by-step explanation:
Answer: 48
Step-by-step explanation:
Since 5 x 4 = 20 and you have to do the same with the numerator and denominator, 12 x 4 = 48
A company offers a flood insurance policy that costs a
homeowner $200 per year, and the company will make a
payout of $100,000 to the homeowner if they have a
flood in that year. The company set this price based on
the probability of a flood in the area being 0.001.
The table below displays the probability distribution of
X = the company's profit from one of these policies.
Answer:
3,161
Step-by-step explanation:
Khan
Convert -36° from degrees to radians
Answer:
-0.6283
Step-by-step explanation:
-36° × π/180 = -0.6283rad
aswer
Answer:
-36π/180 or -.6283
Step-by-step explanation:
To convert from degrees to radians you multiply it by π/180
So you have -36π/180 which gets you around -.6283
A cylindrical tank with radius 3m is being filled with water at a rate 4m^³/min.How fast is the height of the water increasin?
Given :
A cylindrical tank with radius 3m is being filled with water at a rate 4m³/min.
To Find :
How fast is the height of the water increasing.
Solution :
We know, volume of cylinder is given by :
[tex]V = \pi r^2h[/tex] ....1)
Also, we have given that, [tex]\dfrac{dV}{dt} = 4 \ m^3/min[/tex] .
Differentiating equation 1) w.r.t t we get :
[tex]\dfrac{dV}{dt} =3^2 \pi \dfrac{ dh }{dt}\\\\\dfrac{dh}{dt} = \dfrac{4}{3^2 \times \pi}\\\\\dfrac{dh}{dt} = 0.141 \ m/min[/tex]
Therefore, the height of water is increasing at a rate of 0.141 m/min.
11.
The domain of f(x) is [4, 5, 6]. If f(x) = 3x + 2, what is the range?
Answer:
The range of the function is:
Range R = {14, 17, 20}
Step-by-step explanation:
Given the function
[tex]f(x) = 3x + 2[/tex]
We also know that range is the set of values of the dependent variable for which a function is defined.
In other words,
Range refers to all the possible sets of output values on the y-axis.We are given that the domain of the function is:
Domain D = {4, 5, 6}
Now,
substituting x = 4 in the function
f(4) = 3(4) + 2
f(4) = 12 + 2
f(4) = 14
substituting x = 5 in the function
f(5) = 3(5) + 2
f(5) = 15 + 2
f(5) = 17
substituting x = 6 in the function
f(6) = 3(6) + 2
f(6) = 18 + 2
f(6) = 20
Thus, we conclude that:
at x = 4, y = 14
at x = 5, y = 17
at x = 6, y = 20
Thus, the range of the function is:
Range R = {14, 17, 20}
Un comerciante compro un lote de 15 calculadoras a 40 dolares cada una .Vendio 5 de ellas ,a orecio de promoción por100 dolares .Calcula el precio de venta de cada una de las restantes calculadoras para que gane 150 en la operación
The selling price of each of the remaining calculators should be $65 so that the merchant makes a profit of $150 in the entire operation.
The merchant bought a batch of 15 calculators at $40 each, so the total cost of the batch is:
Cost price = 15 calculators × $40/calculator
= $600
The merchant sold 5 calculators at a promotional price of $100 each.
So, the revenue from selling these 5 calculators is:
Revenue = 5 calculators × $100/calculator
= $500
Now, we need to calculate the profit made from the sale of these 5 calculators:
Profit = Revenue - Cost price
Profit = $500 - $600
= -$100 (Negative because the merchant incurred a loss on these 5 calculators)
The merchant wants to make a profit of $150 in the entire operation. So, adding the profit from selling the first 5 calculators:
Desired profit = $150
Current profit = -$100
Additional profit needed = Desired profit - Current profit
Additional profit needed = $150 - (-$100)
= $250
The merchant has 15 - 5 = 10 calculators left to sell.
We need to distribute the additional profit of $250 among the remaining 10 calculators:
Additional profit per calculator = Additional profit needed / Number of remaining calculators
Additional profit per calculator = $250 / 10 calculators
= $25
Now, let's calculate the selling price of each of the remaining calculators:
Selling price = Cost price + Additional profit per calculator
Selling price = $40 + $25 = $65
So, the selling price of each of the remaining calculators should be $65.
To learn more on Selling price click here:
https://brainly.com/question/29065536
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Complete question:
A merchant bought a batch of 15 calculators at 40 dollars each. He sold 5 of them at a promotional price of 100 dollars each. Calculate the selling price of each of the remaining calculators so that he makes a profit of 150 dollars in the operation
momom pur $550 into a savings account for one year. The
rate of interest on the account mos 61% How much was
doilers and cents (Round to the
The nearest cent)
Step-by-step explanation:
you have to divide first then you round
Compare A and B if 125% of A is equal to $120 and 135% of B is equal to $90
PLS HELP
The original value of A is greater than original value of B.
The given parameters:
125% of A = $120135% of B = $90What is percentage of a number?The percentage of a number is fraction of the number expressed in hundred.The original value of A is calculated as follows;
[tex]\frac{125}{100} \times A = 120\\\\1.25A = 120\\\\A =\frac{120}{1.25} \\\\A = \$ 96[/tex]
The original value of B is calculated as follows;
[tex]\frac{135}{100} \times B = 90\\\\1.35 B = 90\\\\B = \frac{90}{1.35} \\\\B = \$ 66.67[/tex]
Thus, the original value of A is greater than original value of B.
Learn more about percentages here: https://brainly.com/question/24304697
I NEED HELP PLZ I WILL GIVE THANKS AND BRAINLIST
Answer:
yes
Step-by-step explanation:
you would multiply 2 and 3 then you would add whatever you got from that to 3 which would be 6+3
hope this helps!
Jaclyn has $120 saved and earns $40 each month in allowance. Pedro has $180 saved and earns $20 a month in allowance.
If they both save their entire allowances, how long will it take before Jaclyn and Pedro have saved the same amount of money?
Enter your answer in the box.
Answer:
3 months
Step-by-step explanation: Let after m months they saved same amount of money.
Given,
Saving of Jaclyn = $ 120,
Amount earned by him/her per month = $ 40,
So, the total amount contained by him/her in m months = Saving + earning for m months
= 120 + 40m,
Similarly, saving of Pedro = $ 180,
Amount earned by him/her per month = $ 20,
So, the total amount contained by him/her in m months = 180 + 20m
Thus, we can write,
120 + 40m = 180 + 20m
40m = 180 + 20m - 120
40m - 20m = 60
20m = 60
⇒ m = = 3.
Hence, it will take 3 months before which Jaclyn and Pedro have saved the same amount of money.
i need help i will mark brainliest
Answer:
-2?
Step-by-step explanation:
Multiply -1 by -4 to get 4
subtract 20 from 12 to get -8
[tex]\frac{-8}{4}[/tex] simplify to get -2
You scred a 95% on your math quiz. The quiz was out of 60 points. How many points did you get?
Answer: You got 57 points out of 60.
Step-by-step explanation: Hope this helps :)
Answer this question for me please
Answer:
-8
Step-by-step explanation:
Answer:
4th one is the right answer.
| x | -2 | 1 | 2 | 3 |
| y | -6 | 3| 6 | 9 |
Step-by-step explanation:
The x and y relationship is in the form y=kx and the graph starts from the origin.
Therefore the graph represents a proportional relationship which holds a equation y=x/3, where k=1/3.
(-10x^2-1)+(-8x^2+8x-8) (−10x 2 −1)+(−8x 2 +8x−8)
Answer:
804−803+702−1
Step-by-step explanation:
3+p=8 what’s does p equal
Answer:
p=5
Step-by-step explanation:
I need help quick I’ll give extra point to who ever answers
Answer:
1 = c
2 = b
3 = d
4 = d
5 = a
Step-by-step explanation:
1) 3x-4>17
2) 3x-4<17
3) 3x-4<=17
4) 3x-4<=17
5) 3x-4>=17
Answer:
Step-by-step explanation:
Anyone know???????????
Answer:
I cant help I wish I could but its a test
Step-by-step explanation: