Find total collected by multiplying the amount per person by number of people:
1000 x 0.12 = $120.00
Total collected = $120.00
Divide total collected by number of people:
120.00 / 109 = $1.20
Each person gets $1.20
on monday 382 students went on a trip to the zoo. all 9 buses were filled and 4 students had to travel in cars. how many students were in each bus?
Answer:
42 students
Step-by-step explanation:
If 4 students had to travel in cars, then 382 - 4 = 378 students traveled in the buses. Since there were 9 buses, 378 / 9 = 42. Therefore, there were 42 students in each bus.
What is the equatiqn of the line that passes through the point (-5, 4) and has a
slope of -3/5?
Answer:
y = -3/5x + 1
Step-by-step explanation:
We are given a point and the slope so all we need to solve for is the y-intercept and we can do that by using the slope intercept form formula [ y = mx + b ] where m = slope and b = y-intercept.
4 = -5(-3/5) + b
4 = 3 + b
1 = b
With the information we know, we can input the values into the formula once again.
y = -3/5x + 1
Best of Luck
Look at image help plz!! Worth 30 points!
Answer:
t = Gx + a
Step-by-step explanation:
G = t - a/x (Given)
G(x) = (t - a/x)x (Multiply x on both sides)
Gx = t - a (Simplify)
Gx + a = t - a + a (Add a on both sides)
Gx + a = t (Simplify)
multiply : (5x+3a) (5x-3a)
A triangle has a perimeter of 11.5 feet. The side lengths are x feet, 2x – 2 feet, and 3x + 1.5 feet. What is the value of x?
Answer:
x = 2 feetStep-by-step explanation:
We know that the perimeter is the sum of side lengths.
P = a + b + cSubstitute the values and solve for x:
x + 2x - 2 + 3x + 1.5 = 11.56x - 0.5 = 11.56x = 12x = 12/6x = 2Answer:
[tex]perimeter = h + l + b \\ = x + 2x - 2 + 3x + 1.5 = 11.5 \\ x \: terms \: togather \\ x + 2x + 3 x- 2 + 1.5 = 11.5 \\ 6x - .5 = 11.5 \\ 6x = 11.5 + .5 \\ 6x = 12 \\ x = \frac{12}{6} \\ x = 2 \\ thank \: you[/tex]
i have no idea how to solve this help
Answer:
Length(L) = y
perimeter of square = 4L
since L = y
so perimeter of square is 4y
find the square of 20.
Answer:
400
Step-by-step explanation:
[tex] {20}^{2} = 20 \times 20[/tex]
that is equal to 400
Answer: 400
Step by step explanation:
20*20= (2*2)*(10*10)= 4*100=400
find the HCF
eg. first expression = 4a -8
=4(a-2)
Answer:
Step-by-step explanation:
ab² + 2a²b + a³ = a(b² + 2ab + a²)
Here variable 'a' is common in all the terms. HCF = a
2) 2ab² = 2 * a * b *b
4a²b = 2 * 2 *a * a * b
6a³ = 2 * 3 * a * a * a
HCF = 2a
2ab² - 4a²b - 6a³ = 2a(b² - 2ab - 3a²)
Divide.
2.463÷104
24,630
0.2463
0.0002463
I don't know.
Answer:
0.023682692307692
Step-by-step explanation:
Above one is correct
Answer:
none of those answers are right the answer is 0.0236826923
Step-by-step explanation:
if LN=9x-39, LM=47, and MN=3x+10 find MN
Answer:
11
Step-by-step explanation:
ML+LN=MN solve for x
(47)+(9x-39)=(3x+10) = 1/3
x = 1/3
plug into MN
3(1/3)+10=11
10 A frustum is a portion of a solid. The frustum shown opposite is formed from a cone.
a What is the volume of the missing top cone? Give answers correct to the nearest cubic metre.
b What was the volume of the entire cone?
c What is the volume of the frustum?
Step-by-step explanation:
all you needed to do was a quick search on the internet : "volume of a cone".
and you get immediately :
pi×r²×h/3
the reason is similar to all other volume formulas : base area times height. for pyramids and cones there are factors included to reduce this a bit, because they simply don't go straight up from their base area, so they have less volume than comparable objects that do go straight up (like a cylinder compared to a cone).
r = radius
h = height
so, for a) we only need to use the calculator :
pi × 5² × 30 / 3 = pi×25×10 = 785.4 ≈ 785 m³
for b) we need to do the same thing, but with r = 10 and h = 60.
pi × 10² × 60 / 3 = pi×100×20 = 6283.2 ≈ 6283 m³
so, for c) we only need to subtract the result of a) from the result of b)
the frustum is the volume of the large cone minus the volume of small, top cone.
6283 - 785 = 5498 m³
plzz help............
[tex]\frac{4}{\pi}\left[x*\sin^{-1}(x)+\sqrt{1-x^2}\right]-x+C\\\\[/tex]
====================================================
Proof:
Apply the derivative to choice A. The goal is to prove the derivative is equivalent to the given integrand.
[tex]y = \frac{4}{\pi}\left[x*\sin^{-1}(x)+\sqrt{1-x^2}\right]-x+C\\\\\frac{dy}{dx} = \frac{4}{\pi}\left[\sin^{-1}(x)+\frac{x}{\sqrt{1-x^2}}-\frac{x}{\sqrt{1-x^2}}\right]-1\\\\\frac{dy}{dx} = \frac{4}{\pi}\sin^{-1}(x)-1\\\\[/tex]
It's far from obvious, but we can apply a bit of algebra like so
[tex]\frac{dy}{dx} = \frac{4}{\pi}\sin^{-1}(x)-1\\\\\frac{dy}{dx} = \frac{4}{\pi}\sin^{-1}(x)-\frac{\pi}{\pi}\\\\\frac{dy}{dx} = \frac{4\sin^{-1}(x)-\pi}{\pi}\\\\[/tex]
Next, we divide every term by 2. This is so we can replace the pi terms with pi/2
[tex]\frac{dy}{dx} = \frac{4\sin^{-1}(x)-\pi}{\pi}\\\\\frac{dy}{dx} = \frac{2\sin^{-1}(x)-\frac{\pi}{2}}{\frac{\pi}{2}}\\\\[/tex]
We do this to take advantage of the trig identity [tex]\sin^{-1}(x)+\cos^{-1}(x) = \frac{\pi}{2}[/tex]
So we'll be replacing every instance of "pi/2" with the left hand side of that equation just mentioned.
Therefore,
[tex]\frac{dy}{dx} = \frac{2\sin^{-1}(x)-\frac{\pi}{2}}{\frac{\pi}{2}}\\\\\frac{dy}{dx} = \frac{2\sin^{-1}(x)-\left(\sin^{-1}(x)+\cos^{-1}(x)\right)}{\sin^{-1}(x)+\cos^{-1}(x)}\\\\\frac{dy}{dx} = \frac{2\sin^{-1}(x)-\sin^{-1}(x)-\cos^{-1}(x)}{\sin^{-1}(x)+\cos^{-1}(x)}\\\\\frac{dy}{dx} = \frac{\sin^{-1}(x)-\cos^{-1}(x)}{\sin^{-1}(x)+\cos^{-1}(x)}\\\\[/tex]
This shows that differentiating the expression in choice A leads to the given integrand.
If we reverse all of the steps mentioned, then we can show that:
[tex]\displaystyle\frac{dy}{dx} = \frac{\sin^{-1}(x)-\cos^{-1}(x)}{\sin^{-1}(x)+\cos^{-1}(x)}\\\\\\ \int\frac{dy}{dx}dx = \int\frac{\sin^{-1}(x)-\cos^{-1}(x)}{\sin^{-1}(x)+\cos^{-1}(x)}dx\\\\\\y = \frac{4}{\pi}\left[x*\sin^{-1}(x)+\sqrt{1-x^2}\right]-x+C\\\\[/tex]
since integrals and derivatives are tied together through inverse processes (one undoes the other more or less).
Identify next three numbers in this sequence: 3, 12, 6, 24, 18, …
options :
27, 13.5, 22.5
72, 36, 144
72, 66, 264
27, 21, 30
find the possible formula for the nth term of sequence 7 11 15 9
Answer:
7, 11, 15, 19, 23, ... To get the terms in the original sequence, we need to add on 3 to each of the terms in the 4n sequence. Hence, the general formula for the nth term of the original sequence is 4n + 3.
hope this helped!!!
A city has a population of 240000 people. Suppose that each year the population grows by 5%. What will the population be after 8 years?
Answer:
354,589 people.
Step-by-step explanation:
Each year the population is 105% times the previous year.
105% = 1.05.
so in 8 years population will be:
240000*(1.05)^8
= 354,589.
If F(x) = 4x - 1 and G(x) = x2 + 7, what is G(Fx))?
Step-by-step explanation:
gof(x)= g(f(x))
gof(x)= g(4x-1)
gof(x)= (4x-1)²+7
gof(x)=16x²-8x+1+7
gof(x)=16x²-8x+8
PLEASE HELP
Seven more than the quotient of a number and 5 is equal to 4.
Use the variable b for the unknown number.
Answer:
7 + b/5 = 4
OR
b/5 + 7 = 4
Step-by-step explanation:
also, b = -15
A swimming pool holds liters of water. The pool has two drainage pipes. When the pool is completely full, the first pipe alone can empty it in minutes, and the second pipe alone can empty it in minutes. When both pipes are draining together, how long does it take them to empty the pool
Answer:Pipe 1 is emptying the pool at 600,000/200 = 3000 liters per minute.
The second pipe empties the pool at 600,000/120 =5000 litres per minute. With both pipes the pool will be emptied at 8000 litres per minute. It will therefore take 600,000/8000 = 75 minutes to empty the pool of water when both pipes are draining together.
Step-by-step explanation:
If p is true and q is false, the p->q is ____
true.
never
always
sometimes
Answer:
never
Step-by-step explanation:
p->q means if p is true, then q must also be true
but since q is false, p->q is never true
Answer: Never
Explanation:
The notation p -> q refers to a conditional statement.
Conditionals are only false when the first part (p) is true while the second part (q) is false. In other words, the template true --> false ultimately leads to a false statement. Otherwise, the entire thing is true.
In our case, we have something that fits the "true -> false" template, so that's why p -> q is never true when p = true and q = false.
Which pair of transformations moves quadrilateral 1 to quadrilateral 2?
a:Reflect over the line y = -3, then rotate it 90 degrees counterclockwise about the origin
b:Reflect it over the x-axis, then rotate it 180 degrees about the origin
c:Rotate it 90 degrees counterclockwise about the point (-3, -3) then translate it 8 units to the right
d:Translate it 8 units to the right, then reflect it over the line y=-3
Answer:
Answer choices:
a. Reflection takes it to Q2, further rotation takes it back to Q3
Incorrectb. Reflection takes it to Q2, rotation takes to Q4 with right shape.
Correctc. Rotation takes is to Q4, translation keeps in same Q but with wrong shape
Incorrectd. Translation takes it to Q4, reflection keeps it in same Q but with wrong shape
IncorrectBecause the shape is present in Q3
So reflection over x axis takes it to Q2
Then 180° rotation about origin takes it to Q4
Hence Option B is correct
Which equation should you solve to find X?
10
х
26
9
A. tan 26°
9
2
B. cos 26°
io
O C. cos 26°
9
10
D. sin 26°
10
N
Answer:
From SOHCAHTOA
Sine=Opp/Hyp
Sin26 = x/10
This is the appropriate eqn to solve this
OPTION D IS YOUR ANSWER!
PLS HELP IF DONE CORRECTLY I WILL MARK AS BRAINLIEST!!! In ΔJKL, solve for x
Answer:
x = 74.89
Step-by-step explanation:
Because this is a right triangle we can use trigonometric ratios to solve for x
Remember the three main trig ratios are sine, cosine and tangent
Where
Sine = Opposite over Hypotenuse
Cosine = Adjacent over Hypotenuse
and Tangent = Opposite over Adjacent
In order to use trig ratios we must have a known angle that is not a right angle.
We are given ∠J which has a measure of 27°
We are also given ∠J's opposite side length. ( has a length of 34 )
and "x" is the hypotenuse.
When dealing with opposite and hypotenuse we use Sine
SineФ = Opposite over Hypotenuse
Ф = 27, opposite = 34 and hypotenuse = x
Sin(27) = 34/x
solve for x
Multiply both side by x
sin(27) x = 34
divide both sides by sin (27)
x = 34 / sin (27)
simplify
x = 74.89 ( rounded to the nearest hundredth )
and we are done!
Answer:
The answer is 74.89
Step-by-step explanation:
Well it gives you 2 angles and one side length using the formula Called SAS you can find the missing lengths and side x = 74.891 while the other side equals 66.729. Hope this helps
Solve for b.
2(b − 8) + –11 = 3
b =
Answer:
b = 15
Step-by-step explanation:
2 (b - 8) + -11 = 3
2b - 16 + -11 = 3
2b - 16 + -11 = 3
2b - 27 = 3
2b = 3 + 27
2b = 30
b = 30 ÷ 2
b = 15
Answer:
[tex] = > 2(b - 8) + - 11 = 3[/tex]
[tex] = > 2b - 16 + - 11 = 3[/tex]
[tex] = > 2b - 27= 3[/tex]
[tex] = > 2b = 27 + 3[/tex]
[tex] = > 2b = 30[/tex]
[tex] = > b = \frac{30}{2} [/tex]
[tex]=>b=15[/tex]
22. Juan and Mary each earn $7 an hour at a part time job.
If on a certain day Juan works 34 hours and Mary works
21 hours, what is the total amount of their earnings that day?
Answer:
Juan- $238
Mary- $147
Step-by-step explanation:
if they earn $7 an hour then you would multiply that by how many hours they worked. So 34×7=238 for Juan and 21×7=147 for Mary.
Practice questions for a textbook are marked with difficulty levels of easy, Intermediate, and difficult. 30 of the 149 practice questions are rated as intermediate, approximately what percentage of the questions are intermediate level?
The percent of questions that are intermediate is approximately %
(Round to the nearest whole percent as needed.)
X
3
VE
The required percentage of the 30 intermediate-level questions is 20%.
Given that,
Practice questions for a textbook are marked with difficulty levels of easy, Intermediate, and difficult. 30 of the 149 practice questions are rated as intermediate, approximately what percentage of the questions are intermediate level is to be determined.
the percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
the required percentage of the intermediate difficult question,
= 30 / 149 * 100
≈ 0.20 * 100
≈ 20%
Thus, the required percentage of the 30 intermediate level question is 20%.
Learn more about percentages here:
brainly.com/question/13450942
#SPJ2
What's the value of u+ v
The hypothetical solution for the values of u + v = 3/10
The values of u and v aren't given in the question. However, giving an hypothetical solution to the problem.
Since we have an addition operator to be used on the values of u and v
Taking the values of u and v to be a real number such as :
u = 1/10 and v = 1/5
u + v = 1/10 + 1/5
Taking the L. C. M of 10 and 5;
L. C. M = 10
HENCE,
u + v = 1/10 + 1/5 = (1 + 2) / 10 = 3/10
Hence, the value of u + v = 3/10
Learn more on addition : https://brainly.com/question/9585060
Answer: what??
Step-by-step explanation:
NEED HELP PLEASE !!!
Answer: 7/64 inch is bigger by 1/64 inch difference
Step-by-step explanation:
STEP ONE: Convert the denominators into Least Common Multiple (LCM)
LCM of 32 and 64:
First 3 multiples of 32: 32, 64, 96
First 3 multiples of 64: 64, 128, 192
Since 64 overlaps in both terms, 64 is the LCM of 32 and 64.
STEP TWO: Convert the fractions
3/32 = (3 × 2) / (32 × 2) = 6/64
7/64 = 7/64
STEP THREE: Compare the numerator to define the size of fractions
6 < 7, therefore, 6/64 < 7/64
7/64 - 6/64 = 1/64 inch
Hope this helps!! :)
Please let me know if you have any questions
An interger p is two-third of another and their difference is 10.find the two interferes
Answer:
30 , 20
Step-by-step explanation:
Let the other number = x
[tex]p = \dfrac{2}{3}x\\[/tex]
x - p = 10
Plugin p = (2/3)x in this equation,
[tex]x -\dfrac{2}{3}x=10\\\\\dfrac{3}{3}x-\dfrac{2}{3}x=10\\\\\dfrac{1}{3}x=10\\[/tex]
Multiply both side by 3
x = 10*3
x = 30
[tex]p=\dfrac{2}{3}*30\\\\p= 2 * 10[/tex]
p = 20
Answer:
30 and 20
Step-by-step explanation:
We have an integer p and another [tex]\frac{2}{3}[/tex] p , their difference is 10 , so
p - [tex]\frac{2}{3}[/tex] p = 10 ( multiply through by 3 to clear the fraction )
3p - 2p = 30 , that is
p = 30
and [tex]\frac{2}{3}[/tex] × 30 = 2 × 10 = 20
The 2 integers are 30 and 20
can someone please help me find the domain and range
Answer:
the domains are x axis or intercepts and range is y axis or intercepts
Need Help fast, with steps
Answer:The solution is in the attached file below
Step-by-step explanation:
