Answer:
It will cost $12.5 per person to charter a bus for 36 passengers
Step-by-step explanation:
The cost per person c of chartering a tour bus varies inversely as the number of passengers n.
We can write:
[tex]c\:\alpha \:\frac{1}{n} \\c=\frac{k}{n}[/tex]
where k is constant of proportionality
We are given when c = 22.50, n = 20
We need to find c when n = 36
First using c = 22.50, n = 20 we will find k, the constant of proportionality
[tex]c=\frac{k}{n}\\22.50=\frac{k}{20}\\k=22.50 \times 20\\k=450[/tex]
So, we get k = 450
Now, we will find c when n = 36
[tex]c=\frac{k}{n}\\c=\frac{450}{36}\\c=12.5[/tex]
So, we get the value of c: c = 12.5
Therefore, It will cost $12.5 per person to charter a bus for 36 passengers
3.TAXIS To take a cab from Rosa's house to the library costs her $26. If this is $18 less than what it costs her to take a cab to the airport, what does that fare cost?
Answer:
$8
Step-by-step explanation:
Given
Cost of fare from house to library
=$26
Let the fare to the airport be x
26=x-18
Solve for x
26-18=x
x=$8
Hence the fare is $8
i’ll mark you brainliest pls
Answer:
-2 i think
Step-by-step explanation:
3. Explain why * =
61
Please help !! I don’t understand :( I’ll mark brainly ! Thanks
Answer:
[tex]\huge\boxed{\text{1. }\$ 15}[/tex]
[tex]\huge\boxed{\text{2. } \$ 1200}}[/tex]
Step-by-step explanation:
By examining the different parts of this equation and what they mean in the context of this problem, we can use the equation to find out different pieces of information about the scenario.
An equation in the form [tex]y = mx+b[/tex] is set up in the way that m = slope, and b = y-intercept.
When starting on a graph, you start at x = 0. Plugging 0 into the equation as x leaves y as 1200. This shows that the base price to make a book is
$1200.
Also, the equation shows that the slope of the line is 15. If we were to put this on to a graph, then every time x (books) increases by 1, y (cost) would increase by 15. Therefore, books cost $15 per book to publish. This makes it the total cost for every book published.
Hope this helped!
Craig is building a bicycle ramp with a 3-ft rise over a 10-ft horizontal run as shown in the figure. What is the length m of the ramp? Round to the nearest tenth.
Answer: 30 feet
Step-by-step explanation: because 3 times 10 is 30 feet
Write 9x² - 36x = 4y² + 24y + 36 in standard form
this is a graph of a hyperbola, if this helps.
please include the steps on how you did it
Thank you!
Answer:
9·x² - 36·x = 4·y² + 24·y + 36 in standard form is;
(x - 2)²/2² - (y + 3)²/3² = 1
Step-by-step explanation:
The standard form of a hyperbola is given as follows;
(x - h)²/a² - (y - k)²/b² = 1 or (y - k)²/b² - (x - h)²/a² = 1
The given equation is presented as follows;
9·x² - 36·x = 4·y² + 24·y + 36
By completing the square, we get;
(3·x - 6)·(3·x - 6) - 36 = (2·y + 6)·(2·y + 6)
(3·x - 6)² - 36 = (2·y + 6)²
(3·x - 6)² - (2·y + 6)² = 36
(3·x - 6)²/36 - (2·y + 6)²/36 = 36/36 = 1
(3·x - 6)²/6² - (2·y + 6)²/6² = 1
3²·(x - 2)²/6² - 2²·(y + 3)²/6² = 1
(x - 2)²/2² - (y + 3)²/3² = 1
The equation of the hyperbola is (x - 2)²/2² - (y + 3)²/3² = 1.
I dont understand this matrix question, PLZ HELP!! ;(
Answer:
14
Step-by-step explanation:
Evaluate In 7 (alg 2)
Answer:
i'm not sure what you need help with.
Step-by-step explanation:
i dont know what to do please help
Answer:
Step-by-step explanation:
Number Price per Total Commission Total cost
of Shares Share (At 6% of total)
100 $16.25 $1625 [tex]1625\times \frac{6}{100}=97.5[/tex] 1625+97.5 = $1722.5
100 $11.31 $1131 [tex]1131\times \frac{6}{100}=67.86[/tex] 1131+67.86=$1198.86
40 $9.15 $366 [tex]366\times \frac{6}{100}=21.96[/tex] 366+21.96=$387.96
100 $15.27 $1527 [tex]1527\times \frac{6}{100}=91.62[/tex] 1527+91.62=$1618.62
100 $13.22 $1322 [tex]1322\times \frac{6}{100}=79.32[/tex] 1322+79.32=$1401.32
Cheryl is organizing her movie collection. If each movie case is 3/4 inch wide, how many movies can fit on a shelf that is 5 feet wide ?
Answer:
5ft= 60in
3/4 inch = 0.75 inch
=> 60/0.75 = 80 movies
Step-by-step explanation:
Your mother, at the age of 35, purchased a 20-Year Endowment insurance policy with a face value of $65,342. The
permanent insurance amount for a 20-Year Endowment insurance policy for a healthy 40-year-old female is $37.10.
Your mother decided to terminate the policy at the age of 50. Use the following table to determine the cash value of
the policy upon cancellation.
20-Year Endowment Options
End Option 1 Option 2 Option 3
of
Reduced Extended
Year
Cash Value Paid-Up
Term
Insurance Years Days
7
$226
$421
26 10
10
364
562
31 182
15
687
834
37 50
20
1000
1000
-Life-
ZAZ
AA OOO
ok
Answer:
the answer is c
Step-by-step explanation:
What fraction is equivalent to 20%?
Pls help
Answer:
1/5
Step-by-step explanation:
Hope it works
Answer:
4/20
Step-by-step explanation:
Given function:
fraction that is equivalent to 20%Rewrite:
20%=1/5·4=4/20Therefore, the fraction that is equivalent to 20% would be 4/20..
micheal buys some ties for $7 each.how much did he pay?
Answer:
ygjjjyc
Step-by-step explanation:
trzerxcgvjyu
A baker determined the annual profit in dollars from selling cupcakes using p(n)=41n-0.06n2, where n is the number of cupcakes sold .What is the annual profit if the baker sells 240cupcakes
Answer:
The annual profit is $6384, if the baker sells 240cupcakes
Step-by-step explanation:
Annual profit in dollars from selling cupcakes = [tex]p(n)=41n-0.06n^2[/tex]
where n is the number of cupcakes sold .
We need to find the annual profit if the baker sells 240cupcakes.
If baker sells 240 cupcakes, so we have n = 240
Putting value of n in the given equation and finding profit
[tex]p(n)=41n-0.06n^2\\Put\:n=240\\p(240)=41(240)-0.06(240)^2\\p(240)=9840-0.06(57600)\\p(240)=9840-3456\\p(240)=6384[/tex]
So, The annual profit is $6384, if the baker sells 240cupcakes
Given ARWS = ATUV, find the values of x and y.
S
20
IT
V
3y + 7
29°
T
25
15
(8x - 27)°
R
U
X=
and y =
Answer:
x=11 degrees,y=6
Step-by-step explanation:
Here, given ΔRWS ≅ ΔTUV
Two triangle are said to be congruent to each other it they have exactly the same three sides and exactly the same three angles.
So, here RW = UT, WS = UV and SR = VT
⇒ 25 = 3y + 7
or, 3y = 25 - 7 = 18
or, y = 18/3 = 6
⇒ y = 6
In ΔTUV
By Angle Sum Property:
∠ TUV + ∠ UVT + ∠ UTV = 180°
or, 90° + 29°+ ∠ UTV = 180°
⇒∠ UTV = 180° - 119 = 61°
Now, by congruence rule: ∠ WRS = ∠ UTV
⇒ (8x - 27)° = 61°
or, 8x = 27° + 61° = 88°
or, x = 88/8 = 11°
⇒ x = 11°
Amanda buys four tickets to the baseball game for $24 each which equation shows the closest estimate of the total amount of Amanda spent
Answer:
I think $800
Step-by-step
round 24 down to 20
and multiply it by 4
I got 800
24 ->20
20x4=800
A laboratory technician needs to make a 36-liter batch of a 40% acid solution. How can the laboratory technician combine a batch of an acid solution that is pure acid with another that is 20% to get the desired concentration?
Answer:
9 Litre of 100% acid, 27 Litre of 20% acid solution
Step-by-step explanation:
We know that 1 = 100% while
0.2 = 20%
We assume that x is volume of 100% solution, while y is volume of 20% solution.
x + 0.2y = (36×40/100)
x+0.2y= 14.4--------eqn(1)
x+y=36-------eqn(2)
x=36-y------eqn(3)
Input eqn(2) into 1 we have
(36-y)+0.2y= 14.4
-y+0.2y=14.4-36
-0.8y= 21.6
y=21.6/0.8
y=27
Hence, 27 Litre of 20% acid is required
From eqn(3) we can find value of x
x = 36-27
9 Litre of 100% acid is required
9 Litre of 100% acid, 27 Litre of 20% acid
Hence, the laboratory technician can combine a batch of 9 Litre of 100% acid, 27 Litre of 20% acid an acid solution that is pure acid with another that is 20% to get the desired concentration
pls help me quickkkkk
Answer:
When yeast cells are reproducing rapidly during beer or wine production, the oxygen is used up. ... Yeast respires using glucose in the sugar that was added to the dough. Bubbles of carbon dioxide make the bread rise. The alcohol that's produced evaporates as the bread is baked.
Step-by-step explanation:
A number x divided by nine is two.
Answer: 18
Step-by-step explanation: x=18, so 18 divided by nine is 2
Solve for x in the following figure.
Answer:
x = 80
Step-by-step explanation:
All angles in a triangle add up to 180 degrees.
First, find the angle J:
60+40 = 100, J = 80 because 100+80= 180 degrees.
Now, the two angles on either side of J should also equal 180 degrees. We know that the inner angle is equal to 80 degrees. Thus, the outside angle must equal 100.
x + 20 = 100
x = 80 degrees.
u(x) = -x+2
w (x) = x² +1
Find the value of w (u(4)).
Answer:
Use the given functions to establish and reduce u (4)
x=x2+1=x=1+i√32,1−i√32
w=x=1+i√32,1−i√32
u(4)=4u
Step-by-step explanation:
Answer:
5, probably
Step-by-step explanation:
you are looking for the function w(u(4)). you need to find u(x) first when x=4 so solve for u(4)=-x+2 so u(4)=-4+2=-2. now plug this -2 value into the function w(x) so w(-2)=-2^2+1 so basically =4+1 and I think that is probably 5 maybe the value of w(u(4))=5
5. Texas Highway Patrol Officers determine the speed a car was traveling when the driver slammed on the brakes by
measuring the length of the skid marks left by the tires. The speed of a car on dry pavement can be determined using the
function f (x)= 242 where x is the length of the skid marks in feet. The graph below shows the length of skid marks
for several cars.
Answer:
they skided 242 feet
Step-by-step explanation:
Answer:
20x20)(20)20000)$yes
Solve the equation -2.6x + 4=0.9x-17.
Answer:
Hi! The correct answer is x=6!
Step-by-step explanation:
~Isolate the variable by dividing each side by factors that don't contain the variable~
3. You go to 7-11 for snacks.
Candy is $1 each and super-size
Slurpee's are $5 each. You
only have $30 to spend
Answer:
just buy 2 slurpies and 20 candies
Step-by-step explanation:
its not rocket science
what is 12% of 75? =)))
Answer:
Hope this helps!
Step-by-step explanation:
12% of 75 would be 9
9
Step-by-step explanation:
12/ 100 × 75
3/ 25 × 75
75/ 25 = 3
3 × 3 = 9
hope it helps!
Find the unknown side length, x. Write your answer in simple
Answer:
C
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 32² = 48²
x² + 1024 = 2304 ( subtract 1024 from both sides )
x² = 1280 ( take the square root of both sides )
x = [tex]\sqrt{1280}[/tex]
= [tex]\sqrt{256(5)}[/tex]
= [tex]\sqrt{256}[/tex] × [tex]\sqrt{5}[/tex]
= 16[tex]\sqrt{5}[/tex] → C
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit. y = -5x² + 194x - 990
Answer: 19.4
Step-by-step explanation:
Given
Profit is given in terms of the selling price
[tex]y=-5x^2+194x-900[/tex]
to get the maximum price, differentiate y w.r.t x
[tex]\frac{\mathrm{d} y}{\mathrm{d} x}=-5\times 2x+194[/tex]
Put [tex]\frac{\mathrm{d} y}{\mathrm{d} x}=0[/tex] to get maximum value
[tex]10x=194\\x=19.4[/tex]
Thus, the company must sell it at 19.4
Write the equation of the line that passes through (4,2) and has a slope of -2 in
POINT SLOPE FORM. y - y1 = m(x - x1)
Answer:
y = -2x + 10
Step-by-step explanation:
The equation in point slope form is expressed using the equation
y - y1 = m(x - x1) where;
m is the slope = -2
(x1, y1) is the point on the line = (4,2)
Substitute into the formula:
y - 2 = -2(x - 4)
y -2 = -2x + 8
y = -2x +8 +2
y = -2x + 10
Hence the required equation of the line is y = -2x + 10
5/6+8b whats the sum or quotient
Answer:
Quotient: 5/6
Product: 8b.
Sum: 5/6 + 8b
Step-by-step explanation:
While translating the problems into mathematical expression or mathematical expression in English, Kind of Expression can be used. Mostly in the algebraic parts.
Quotient: It represents that one value is divided by the another value. It is also known as the ratio.
i.e: 5/6
Product: It means multiplying either a known value and unknown variables or both unknown variables.
i.e.: 8b.
Sum: It means adding either a known value and unknown variables or both unknown variables.
i.e. : 5/6+8b
help meee pleaseeee i donr know how to solve thisss
Answer:
D
Step-by-step explanation:
-12 + 5 ≤ 4
-7 ≤ 4
this inequality is true
The answer to the question is D
