Answer:
32.4 liters
Step-by-step explanation:
Given that
There is 60 litres of fuel in the tank
After a long journey, 22% would fuel is left
The driver put another 30 liters and use 25% of the fuel
We need to find out how much fuel is now in the tank
Since 22% fuel is left i.e.
= 60 liters × 0.22
= 13.2 liters
He put another 30 liters
SO, now the total fuel available is
= 13.2 + 30
= 43.2 liters
It used 25% of the fuel that means 75% would remain left
So,
= 43.2 liters × 0.75
= 32.4 liters
Question 7 of 10
What is the surface area of the right cone below?
12
O A. 108units2
O B. 72 units2
O c. 45 units
D. 35 units2
SUBMIT
Answer:
the answer is c or 45pie Units
Step-by-step explanation:
The surface area of the right cone is,
⇒ SA = 45π units²
What is mean by Multiplication?The multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Radius of cone (r) = 3 units
Slant height of cone (l) = 12 units
Now, We know that;
The formula that is used to calculate the surface area of a cone is;
⇒ SA = πrl + πr²
Hence, We can substitute all the values we get;
⇒ SA = πrl + πr²
⇒ SA = π × 3 × 12 + π × (3)²
⇒ SA = 36π + 9π
⇒ SA = 45π units²
Thus, The surface area of the right cone is,
⇒ SA = 45π units²
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Determine whose method is the most fair, based on probability. Show your work. If needed, use a 6 × 6 array when analyzing Keenan’s method.
Explain why Gerard’s method isn’t fair.
Explain why Elena’s method would be unfair.
Elena, Keenan, and Gerard are planning a movie night, but can’t decide which movie to watch. Elena wants to watch an action movie, Keenan wants to watch a comedy, and Gerard wants to watch a science fiction movie. Since no one is budging on their movie preference, the three friends propose different methods for choosing the movie they’ll watch:
Elena suggests they call up her sister and have her make the choice for them.
Keenan suggests they roll two dice and find the sum of the dice. If the sum equals 2, 3, 4, or 7, then they’ll watch an action movie. If the sum equals 8, 9, or 10, then they’ll watch a comedy. If the sum equals 5, 6, 11, or 12, then they’ll watch the science fiction movie.
Gerard suggests they flip a coin two times. If both flips land on heads, then they watch an action movie. If both flips land on tails, then they watch a comedy. And if one flip lands on heads and one lands on tails, then they watch a science fiction movie.
Answer: Gerard's method isn't fair because it has a higher chance for his movie than any other movie and Elena's method isn't fair because her sister will choose what Elena wants. so Keenan's method is the fairest because it has a chance for all.
Answer:
Answer from PLATO just reworded a bit
(-4)x(-6) what is the answer
Answer:
24
Step-by-step explanation:
( - 4 ) x ( - 6 ) = 24
24 is the answer.
You are given a line with a slope of -4. What would the slope of a parallel line be?
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A triangle has sides with lengths 17, 12, and 9. Is the triangle right, acute, or obtuse?
Question 1 options:
A)
Can't be determined
B)
Obtuse
C)
Right
D)
Acute
Answer:
b) obtuse
Step-by-step explanation:
If this is a right triangle the hypotenuse would be
c² = 9² + 12²
c² = 81 + 144
c² = 225
c = √225
c = 15
Since the third side is 17 which is longer than 15
the triangle is obtuse
Answer:
obtuse
Step-by-step explanation:
the following are the heights in centimeters of 15 randomly selected students. Find the mean height of the students.
Answer: where's the heights?
Step-by-step explanation:
Refer to matrix A and identify the matrix element a31.
3
–2
–1
7
===================================================
Explanation:
a31 means "the value in the third row, first column". That value is 7
As another example, a22 = 3 since 3 is in the second row, second column.
Another example: a12 = -1 because we're in the first row and second column.
This is a 3x2 matrix due to it having 3 rows and 2 columns.
A chemist has three different acid solutions. The first acid solution contains 25 % acid, the second contains 45 % and the third contains 90 %. He wants to use all three solutions to obtain a mixture of 50 liters containing 70 % acid, using 2 times as much of the 90 % solution as the 45 % solution. How many liters of each solution should be used?
the chemist should use:
Answer:
Wyzant
ALGEBRA WORD PROBLEM
Dorian S. asked • 06/28/17
THREE LINEAR EQUATIONS WITH THREE VARIABLES
A chemist has three different acid solutions. The first acid solution contains 15% acid, the second contains 25%,
and the third contains 70%. He wants to use all three solutions to obtain a mixture of 40 liters containing 45%
acid, using 2 times as much of the 70% solution as the 25% solution. How many liters of each solution should be used?
How to set up as three linear equations to find the answer?
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1 Expert Answer
By:
Best
Arthur D. answered • 06/28/17
TUTOR 4.9 (67)
Forty Year Educator: Classroom, Summer School, Substitute, Tutor
ABOUT THIS TUTOR ›
set up 2 equations
the first equation...
15%*x+25%*y+70%*2y=45%*40
0.15x+0.25y+1.4y=0.45*40
0.15x+1.65y=18
multiply all terms by 100
15x+165y=1800
divide all terms by 15
x+11y=120
the second equation...
x+y+2y=40
x+3y=40
x=40-3y
substitute into the first equation x+11y=120
40-3y+11y=120
40+8y=120
8y=120-40
8y=80
y=80/8
y=10 liters
x+3*10=40
x+30=40
x=40-30
x=10 liters
10 liters of 15%, 10 liters of 25%, and 20 liters of 70%
check:
10*15%=1.5
10*25%=2.5
20*70%=14
1.5+2.5+14=18
18/40=9/20=45/100=45%
45%*40=18
hope it helps
please mark brainliest
If a patient smokes 2 packs of cigarettes per day for 20 years how many pack are smoke per year?
Answer:
730
Step-by-step explanation:
2x365=730
Bethany is 57 inches tall Bethany brother Scott is 2 inches taller than she is what is scoot height in feet
Answer:
5'9 ft
Step-by-step explanation:
He was built different
Coach Hutchison is the basketball coach at school . she asks players to record their heights. The histogram shows the data she has collected
What unit of measure is used in the Study?
__________________________________
O A. Inches
O B. Feet
O C. Number of playerd
O D. Number of observations
Answer:
The unit of measure used in the study is "inches"
Suppose an automobile manufacturer designed a radically new lightweight engine and wants to recommend the grade of gasoline that will have the best fuel economy. The four grades are regular, economy, premium, and super premium. The test car made three runs on the test track using each of the four different grades of gasoline (i.e there were a total of 12 test runs). The miles per gallon were recorded for each grade. At the 0.05 level, what is the critical value of F used to test the hypothesis that the miles per gallon for each fuel are the same
Answer:
4.07
Step-by-step explanation:
The sample size is 12. The number of treatments is 4. Thus, the degrees of freedom associated with the sum of square error is 8 which is sample size minus number of treatments. The degree of freedom is 3 which is number of treatments minus 1. The theoretical F value is determined by entering the F table (pp.723-24) at 3 degrees of freedom for the numerator and 8 degrees of freedom for the denominator for the level of significance given which in this case is 0.05.
Use the graph that shows the solution to f(x)=g(x).
f(x)=73x−3
g(x)=2x−4
What is the solution to f(x)=g(x)?
Select each correct answer.
−12
0
2
3
9514 1404 393
Answer:
x = 0, x = 3
Step-by-step explanation:
It appears your equations are intended to be ...
f(x) = (7/3)x -3
g(x) = 2^x -4
These are the equations that are graphed in your second attachment. The graphs cross at x=0 and x=3.
The solutions to f(x) = g(x) are x ∈ {0, 3}.
Help!!
The graph of 8x - 5y = -15 is shown on the grid. Which
ordered pair is in the solution set of 8x - 5y2-15?
A)
(1,6)
B)
(-6, -1)
C)
(-1,6)
D)
(-1,-6)
3b+4+10+6b-2
IREADY ANSWERS ONLY PLS
Answer: 9b+12
Step-by-step explanation:
Combine the sets if like terms meaning
4+10-2
And 3b+6b
3b+6b= 9b
4+10-2= 12
Since only one has one variable they aren’t like terms and they can’t be combined leaving u with 9b+12
Pls help 10 ptsssssssssssss
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[tex]tan20+4sin20=\sqrt{3}[/tex]
tan( 20 ) + 4 Sin( 20 ) =
( Sin( 20 ) / Cos( 20 ) ) + 4 Sin( 20 ) =
Sin( 20 ) + 4 Sin( 20 ).Cos( 20 ) / Cos( 20 ) =
Sin( 20 ) + 2 × 2 Sin(20).Cos(20)/ Cos(20) =
Sin( 20 ) + 2 × Sin( 40 ) / Cos( 20 ) =
Sin( 20 ) + 2Sin( 40 ) / Cos( 20 ) =
Sin( 20 ) + 2Cos( 50 ) / Cos ( 20 ) =
Sin( 20 ) + 2Cos( 20 + 30 ) / Cos( 20 ) =
________________________________
2 × Cos( 30 + 20 ) =
2 × [ Cos(30).Cos(20) - Sin(30).Sin(20) ] =
2 × [ √3/2 × Cos(20) - 1/2 × Sin(20) ] =
√3 Cos(20) - Sin(20)
_________________________________
Sin( 20 ) + 2Cos ( 20 + 30 ) / Cos( 20 ) =
Sin( 20 ) + √3 Cos(20) - Sin(20) / Cos(20) =
Sin(20) - Sin(20) + √3 Cos(20) / Cos(20) =
0 + √3 Cos(20) / Cos(20) =
√3 Cos(20) / Cos(20) =
Cos(20) simplifies from the numerator and denominator of fraction
√3 × 1 / 1 =
√3
And we're done ....
Work out the value of x
Step-by-step explanation:
X+3X+90=360
4X+90=360
4X=360-90
4X=270
270÷4=67.5
X=67.5 degrees
Help!!
Find the area of the shaded region. Round to the nearest hundredth where
necessary. Show work
Answer:
look at the picture i have sent
The area of the shaded region is 192.325 m².
What is area?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.
We have,
Outer radius = 21/2 = 10.5 m
Inner radius = 10.5 - 3.5 = 7 m
So, Area of shaded region
= π( R² - r²)
= 3.14 (10.5² - 7²)
= 3.14 (110.25 - 49)
= 192.325 m²
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Which trigonometric function is an odd function and why?
The cosine function is odd because it is represented by the x-coordinate of the points on the unit circle, and therefore cos(x) = cos(-x).
The sine function is odd because it is represented by the y-coordinate of the points on the unit circle, and therefore sin(-x) = - sin(x).
The cosine function is odd because it is represented by the x-coordinate of the points on the unit circle, and
therefore cos(-x) = cos(x)
The sine function is odd because it is represented by the y-coordinate of the points on the unit circle, and therefore sin(x) = sin(-x).
Answer:
second choice is the answer or it can be
The correct answer is option B.
What is odd function?"A function [tex]f(x)[/tex] is an odd function when [tex]f(-x)=-f(x)[/tex] ."
For given question,
Consider points A and B on the coordinate plane as shown in following image.
Let, line segment OA makes an angle of [tex]\theta[/tex] with x-axis and ∠COB = [tex]-\theta[/tex]
So, the coordinates of points on unit circle with radius 'r' would be, A[tex](cos \theta, sin\theta)[/tex] and B[tex](cos(-\theta),sin(-\theta) )[/tex]
Let, AC = y, BC = -y and OC = m
Now, consider sine function
[tex]sin\theta=\frac{AC}{OA}\\[/tex]
⇒[tex]sin\theta=\frac{y}{r}[/tex] ........................(1)
And, [tex]sin(-\theta)=\frac{BC}{OB}[/tex]
⇒ [tex]sin(-\theta)=\frac{-y}{r}[/tex]
⇒ [tex]sin(-\theta)=-(\frac{y}{r})[/tex] .......................(2)
⇒ [tex]sin(-\theta)=-sin\theta[/tex] ......................(From (1) and (2))
Now, consider cosine function
[tex]cos\theta=\frac{OC}{OA}[/tex]
⇒ [tex]cos\theta=\frac{m}{r}[/tex] ...........................(3)
And, [tex]cos(-\theta)=\frac{OC}{OB}[/tex]
⇒ [tex]cos(-\theta)=\frac{m}{r}[/tex] ...........................(4)
⇒ [tex]cos(-\theta)=cos\theta[/tex] ...........................(From (3), (4))
Hence, sine function is odd because it is represented by the y-coordinate of the points on the unit circle, and therefore sin(-x) = - sin(x).
Therefore, the correct answer is option B.
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The gift shop at a science museum sells lollipops that are made to look like the planets. Each lollipop is shaped like a sphere and has a radius of 12 mm. Answer in terms of pi
Answer:
I don't know what to look for
but area of sphere = 4πr²
4×π×12×12
576πmm³
volume of sphere= 4πr³
3
4/3π12×12
576/3π
= 192πmm³
* Will Mark BRAINLIEST * fast plss!! *easy*
I think it might be B or D.
(Pre-Algebra)
(08.02)How many solutions are there for the system of equations shown on the graph?
A) No solution
B) One solution
C) Two solutions
D) Infinitely many solutions
Answer:
One Solution (C)
Step-by-step explanation:
This is one solution because they only intersect once. No solution=no intersect 2 solution=intersect twice infinite solutions= same line
Sarah drove 116 miles in 4 hours. If she drove at a constant rate, how far did she travel each hour?
Answer:
28 because 116÷4=29 so she traveled 28 miles per hour
Answer:
Sarah drove 29 miles per hour.
Step-by-step explanation:
116 divided by 4 is 29.
How do i write 25.4 million
Step-by-step explanation:
[tex]25,400,000[/tex]
Answer:
25,400,000
Step-by-step explanation:
For each ordered pair, determine whether it is a solution to 2x - 5y=11.
Is it a solution?
(x, y)
(3, -1)
(-7,-5)
(-9,4)
(4,2)
Answer:
(3, -1)
Step-by-step explanation:
The solution of the equation are (3, -1) and (-7, -5).
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have Equation, 2x- 5y= 11.
To check each ordered pair is the solution of equation then we have put the value of x and y one by one in the given equation.
1. x =3 and y= -1
2(3)- 5(-1)
= 6 + 5
= 11
2. x= -7 and y=-5
= 2(-7) - 5(-5)
= -14 + 25
= 11
3. x= -9 and y= 4
= 2(-9)-5(4)
= -18 - 20
= -38
4. x = 4 and y= 2
= 2(4) - 5(2)
= 8 - 10
= -2
Thus, the solution of the equation are (3, -1) and (-7, -5).
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PQ is tangent to the circle and m
Answer:
x = 78°
Step-by-step explanation:
m<P = 12°
Since PQ is tangent to the circle at point Q, therefore m<Q = 90° (tangent theorem)
x + m<P + m<Q = 180° (sum of triangle theorem)
Substitute
x + 12° + 90° = 180°
x + 102° = 180°
Subtract 102° from each side
x = 180° - 102°
x = 78°
In the telemarketing industry, one successful sale in one hundred calls is considered success. That is, the probability of success is 1/100 and the probability of failure is 99/100 What is the probability of making 2 sales in 100 calls? Use your calculator.
Answer:
0.1849 = 18.49% probability of making 2 sales in 100 calls
Step-by-step explanation:
For each call, there are only two possible outcomes. Either it is a success, or it is not. The probability of a call being a success is independent of any other call. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Probability of success is 1/100
This means that [tex]p = \frac{1}{100} = 0.01[/tex]
What is the probability of making 2 sales in 100 calls?
This is P(X = 2). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{100,2}.(0.01)^{2}.(0.99)^{98} = 0.1849[/tex]
0.1849 = 18.49% probability of making 2 sales in 100 calls
Which statement is not always true?
Find the volume of each figure. Round your answer to the nearest tenth, if necessary
Answer:
V = 168 km³
Step-by-step explanation:
We are given a triangle prism.
Volume of a triangle prism = ½*a*c*h
Where,
a = 8 km
c = 6 km
h = 7 km
Substitute
V = ½*8*6*7
V = 4*6*7
V = 168 km³
Y varies inversely with x and when x = 7, y = 15. Find x when y = 21
x=
Answer:
x = 5
Step-by-step explanation:
Use the inverse variation equation, y = k/x
Plug in 7 as x and 15 as y, then solve for k:
y = k/x
15 = k/7
105 = k
So, the equation is y = 105/x
Find x when y = 21 by plugging in 21 as y:
y = 105/x
21 = 105/x
21x = 105
x = 5
So, when y = 21, x = 5