Answer:
???
Step-by-step explanation:
A lunch menu consists of 4 different kinds of sandwiches, 5 different kinds
of soup, and 3 different drinks. How many choices are there of ordering a
sandwich, soup and drink?
Answer:
4 sandwich + 5 soup +3 drink
total = 20
choices of ordering a sandy , soup and drink =
3/12= 1/4
Final answer:
To determine the number of meal combinations, multiply the number of sandwich, soup, and drink options together. With 4 sandwiches, 5 soups, and 3 drinks, there are 60 different meal combinations.
Explanation:
The student's question is asking for the number of different combinations available when choosing one sandwich, one soup, and one drink from a menu with multiple options for each category. To calculate the total number of combinations, we apply the Fundamental Principles of Counting and use the Multiplication Principle. Since there are 4 kinds of sandwiches, 5 kinds of soup, and 3 drinks, the number of unique combinations can be found by multiplying these numbers together.
Number of combinations = Sandwich options × Soup options × Drink options
= 4 × 5 × 3
The calculation gives us 4 × 5 × 3 = 60 different combinations.
Write 0.06 as a percent. Include the % symbol in your answer.
A polynomial of the 5th
5thdegree with a leading coefficient of 77 and a constant term of66
Answer:
77x^5+66
Step-by-step explanation:
The leading coefficient is the first number in the polinomial, the degree is the exponent and the constant is the last term
Answer:
7x5 + 2x2 + 6
Step-by-step explanation:
like it up!
Given that -5 < -3, which statement is not true?
-5 is to the left of -3 on the number line.
-3 is to the right of -5 on the number line.
-3 > -5
-3 is less than -5,
D is incorrect because the higher the negative number is the less it becomes. So, the answer is -3 is less than -5.
what is the volume of this pyramid in cubic inches?
Answer:
The answer is 80, you multiply the numbers together to get volume.
the volume of a pyramid is 80 cubic inches .
Using the number line below find the
probability, as a decimal to the nearest
hundredth, that a point on HP lies between L
and K.
Answer:
0.3
Step-by-step explanation:
To find this probability, we need to know the distance from point H to P and the distance from point L to K, and then the probability of a random point in HP being inside LK will be the division of the distance from L to K by the distance from H to P:
H to P: distance = 15 - 5 = 10
L to K: distance = 10 - 7 = 3
Probability: LK/HP = 3/10 = 0.3
At the school carnival, Jade has a game booth with a spinner. The banner at her booth reads "80% chance of winning!" What is the chance that a player may not win?
Answer:
20%
Step-by-step explanation:
100-80=20
Answer:
20% chance a player may not win
Step-by-step explanation:
100- 80 = 20
A spinner is divided into eight equal sections. The sections are numbered 1, 2, 3, 4, 5, 6, 7, and 8. What is the probability of spinning a 2, 3, or a 4?
Answer:
A 30% chance
Your computer password has 4 capital letters followed by 4 digits. Your
friend randomly chooses 4 capital letters and 4 digits. How many different
passwords can be created?
4,569,760,000 different passwords can be created.
What is a Password?A password is a string of characters that allows access to a computer system or service.
How to solve it?There are 26 letters, four times. There are 10 numbers, four times. 26x26x26x26=456,976
10x10x10x10= 10,000
Final Answer: 4,569,760,000
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Sal owns a clothing store that sells shorts and graphic T-shirts. He sells the
shorts for $14 each and the T-shirts for $6 each and. He is limited to the
constraints show by the set of inequalities below. Which of the points (s, t)
will maximize Sal's profit?
SS 30 - 37
s215 - +
SS 25 - 7
s20
t20
O A. (7.5, 7.5)
O B. (22.5, 2.5)
O c. (25,0)
Answer: (25,0) aka. C
Answer:
c. (25,0)
Step-by-step explanation:
Hope this helps!
The maximum profit is achieved at (25, 0), which means Sal should sell 25 shorts and 0 T-shirts to maximize his profit. So, the answer is (C) (25, 0).
What is profit?Profit is simply the difference between total revenue and total expenses. It shows you how much money your company made after expenses.
Profit, as the primary goal of any business, is a clear indicator of how your company is functioning and performing in the market.
To maximize the profit, we need to use the objective function, which is given by:
P = 14s + 6t
Where s is the number of shorts sold and t is the number of T-shirts sold.
The constraints are:
s + t ≤ 30 (constraint on the total number of items sold)
2s + 5t ≤ 75 (constraint on the amount of shelf space)
The feasible region is the shaded area above.
We can now evaluate the objective function at each corner point of the feasible region to find the maximum profit:
At (0, 20), P = 6(20) = 120
At (7.5, 7.5), P = 14(7.5) + 6(7.5) = 165
At (15, 15), P = 14(15) = 210
At (20, 5), P = 14(20) + 6(5) = 290
At (25, 0), P = 14(25) = 350
Therefore, the answer is (C) (25, 0).
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An English teacher wants to know the
mean number of words students included
in recent essays. He randomly chooses
20 essays submitted by 180 students. He
records the word count of each one. His
data are shown below.
Answer quickly please!
Find the perimeter of the figure to the nearest hundredth.
If Pamela was given a 15% off her $71 purchase, how much was the discount? *
Which quadrilateral is a trapezoid?
Answer:
BACD the third one I hope that this is right
The correct quadrilateral which is a trapezoid is shown in image 3.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
There are three figures are shown.
Now, We know that;
A trapezoid, which is also known as a trapezium, is a closed shape which having 4 straight sides, with one pair of parallel sides.
Hence, By given figures.,
The correct quadrilateral which is a trapezoid is shown in image 3.
Because it has one pair of parallel sides.
Thus, The correct quadrilateral which is a trapezoid is shown in image 3.
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Which fraction is equal to 5 3/4 ?
12/4
15/4
23/4
53/4
Solve 92x = 66.
Round to the nearest ten-thousandth.
Answer:
x = 66/92
Step-by-step explanation:
divide both sides by 92
Answer:
x=33/46
Step-by-step explanation:
92x/92=66/92
x=66/92
x=33/46
Solve for the roots in simplest form using the quadratic formula:
x2 – 14x = -50
Answer:
x2-14x+58=0
Two solutions were found :
x =(14-√-36)/2=7-3i= 7.0000-3.0000i
x =(14+√-36)/2=7+3i= 7.0000+3.0000i
Step by step solution :
Step 1 :
Trying to factor by splitting the middle term
1.1 Factoring x2-14x+58
The first term is, x2 its coefficient is 1 .
The middle term is, -14x its coefficient is -14 .
The last term, "the constant", is +58
Step-1 : Multiply the coefficient of the first term by the constant 1 • 58 = 58
Step-2 : Find two factors of 58 whose sum equals the coefficient of the middle term, which is -14 .
-58 + -1 = -59
-29 + -2 = -31
-2 + -29 = -31
-1 + -58 = -59
1 + 58 = 59
2 + 29 = 31
29 + 2 = 31
58 + 1 = 59
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Equation at the end of step 1 :
x2 - 14x + 58 = 0
Step 2 :
Parabola, Finding the Vertex :
2.1 Find the Vertex of y = x2-14x+58
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 7.0000
Plugging into the parabola formula 7.0000 for x we can calculate the y -coordinate :
y = 1.0 * 7.00 * 7.00 - 14.0 * 7.00 + 58.0
or y = 9.000
Parabola, Graphing Vertex and X-Intercepts :
Root plot for : y = x2-14x+58
Axis of Symmetry (dashed) {x}={ 7.00}
Vertex at {x,y} = { 7.00, 9.00}
Function has no real roots
Solve Quadratic Equation by Completing The Square
2.2 Solving x2-14x+58 = 0 by Completing The Square .
Subtract 58 from both side of the equation :
x2-14x = -58
Now the clever bit: Take the coefficient of x , which is 14 , divide by two, giving 7 , and finally square it giving 49
Add 49 to both sides of the equation :
On the right hand side we have :
-58 + 49 or, (-58/1)+(49/1)
The common denominator of the two fractions is 1 Adding (-58/1)+(49/1) gives -9/1
So adding to both sides we finally get :
x2-14x+49 = -9
Adding 49 has completed the left hand side into a perfect square :
x2-14x+49 =
(x-7) • (x-7) =
(x-7)2
Things which are equal to the same thing are also equal to one another. Since
x2-14x+49 = -9 and
x2-14x+49 = (x-7)2
then, according to the law of transitivity,
(x-7)2 = -9
We'll refer to this Equation as Eq. #2.2.1
The Square Root Principle says that When two things are equal, their square roots are equal.
Note that the square root of
(x-7)2 is
(x-7)2/2 =
(x-7)1 =
x-7
Now, applying the Square Root Principle to Eq. #2.2.1 we get:
x-7 = √ -9
Add 7 to both sides to obtain:
x = 7 + √ -9
In Math, i is called the imaginary unit. It satisfies i2 =-1. Both i and -i are the square roots of -1
Since a square root has two values, one positive and the other negative
x2 - 14x + 58 = 0
has two solutions:
x = 7 + √ 9 • i
or
x = 7 - √ 9 • i
Solve Quadratic Equation using the Quadratic Formula
2.3 Solving x2-14x+58 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 1
B = -14
C = 58
Accordingly, B2 - 4AC =
196 - 232 =
-36
Applying the quadratic formula :
14 ± √ -36
x = ——————
2
In the set of real numbers, negative numbers do not have square roots. A new set of numbers, called complex, was invented so that negative numbers would have a square root. These numbers are written (a+b*i)
Both i and -i are the square roots of minus 1
Accordingly,√ -36 =
√ 36 • (-1) =
√ 36 • √ -1 =
± √ 36 • i
Can √ 36 be simplified ?
Yes! The prime factorization of 36 is
2•2•3•3
To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).
√ 36 = √ 2•2•3•3 =2•3•√ 1 =
± 6 • √ 1 =
± 6
So now we are looking at:
x = ( 14 ± 6i ) / 2
Two imaginary solutions :
x =(14+√-36)/2=7+3i= 7.0000+3.0000i
or:
x =(14-√-36)/2=7-3i= 7.0000-3.0000i
Two solutions were found :
x =(14-√-36)/2=7-3i= 7.0000-3.0000i
x =(14+√-36)/2=7+3i= 7.0000+3.0000i
R
Step-by-step explanation:
The roots of the given quadratic equation are (7+i) and (7-i).
The given quadratic equation is:
[tex]x^{2} -14x=-50[/tex]
What is a quadratic equation?Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where a≠0.
We can write the above equation as:
[tex]x^{2} -14x+50=0[/tex]
Using the Shreedharacharya formula to solve a quadratic equation
[tex]x=\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=\frac{-(-14)+-\sqrt{(-14)^2-4*1*50} }{2*1}[/tex]
[tex]x=7+i\\x=7-i[/tex]
Where i=√-1
Hence, the roots of the given quadratic equation are (7+i) and (7-i).
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a 5/1
b 1/5
c 5/4
d 4/5
Answer:
The answer is b 1/5
Step-by-step explanation:
There are 5 sections in the spinner and 1 of the 5 is a three so it would be 1/5.
Which point is 12 units less than point Q?
(A).Point U
(B).Point R
(C).Point S
(D).Point V
Answer:
Point R
Step-by-step explanation:
Go back 12 points
Answer:
Point R
Step-by-step explanation:
Count back in points and you will figure it out
On a coordinate plane, 2 lines intersect at (0, 5). What is the solution of the system of equations? ( , )
Answer:
(0,5)
Step-by-step explanation:
I think...
I'm 99.9% sure that I'm wrong...
it issssssss (0,5) booooooooooooooom now you get a A+ on yo assinement ITS COREECT ON EDGEUNITEE
Please help! im barely learning geo in middle school! dont really know much.
Answer:
26
Step-by-step explanation:
The hypotenuse is always the longest side of your right triangle and so the answer would be 26 since it is the largest number.
pretty please help meeee
Answer:
C= 72
Step-by-step explanation:
Because if AB=3 and AC= 9 and you solve and find all the side lengths you will get 71.565 for m<B and you round to the nearest degree its 72. Hopefully this helps you and you get it right. But I'm 100% it is 72.
Answer:
∠ B ≈ 72°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan B = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{9}{3}[/tex] = 3 , thus
B = [tex]tan^{-1}[/tex](3) ≈ 72° ( to the nearest degree )
What are the solutions to the system of equations? y=2x2−6x+3 y=2x+3 Enter your answers in the boxes. ( _,_ ) and ( _,_ )
Answer:
(0,3) and (4,11)
Step-by-step explanation:
Answer:
(0,3) AND (4, 11)
Step-by-step explanation:
y = 2(x^2) - 6x + 3
y = 2x + 3
Substitute
2x + 3 = 2(x^2) - 6x + 3
0 = 2(x^2) - 8x -->
0 = 2x(x - 4)-->
x = 0; 4 -->
y = 2(0) + 3 -->
y = 3
AND
y = 2(4) +3 -->
y = 11
(0,3) AND (4, 11)
Find the equation of a line through the points (3,7) and (5.11)
Answer:
y= 2x + 1
Step-by-step explanation:
We are asked to write an equation of that line that passes through points (3, 7) and (5, 11).
First of all, we will find slope of our given line using the coordinates of given points as:
Now, we will write our given equation in slope-intercept form , where m represents slope and b represents y-intercept.
Let us find the y-intercept using coordinates of point (3,7) and slope as:
Therefore, our required equation in slope-intercept form would be.
expand and simplyfy 2(3x-5) +3(2x+3)
Answer:
[tex]12x-1[/tex]
Step-by-step explanation:
Considering the expression:
[tex]2(3x-5) +3(2x+3)[/tex]
[tex]6x-10+6x+9\\12x-1[/tex]
Helppp plzz! Four shapes are listed below.
I. Triangle
II. Parallelogram
III. Pentagon
IV. Hexagon
Which of these are possible cross sections of a cube?
A. I and II
B. I, II, and III
C. I, II, and IV
D. I, II, III, and IV
Answer:
the answers D all of them
Step-by-step explanation:
When a plane intersects a cube there is a variety of shapes of the resulting cross section.
a single point (a vertex of the cube)
a line segment (an edge of the cube)
a triangle (if three adjacent faces of the cube are intersected)
a parallelogram (if two pairs of opposite faces are intersected – this includes a rhombus or rectangle)
a trapezium (if two pairs of
a pentagon (if the plane meets all but one face of the cube)
a hexagon (if the plane meets all faces of the cube)
a pentagon (if the plane meets all but one face of the cube)
a hexagon (if the plane meets all faces of the cube)
The last five of these (the non-degenerate cases)
In a way we can get all the given shapes as a cross-section of a cube, the correct option is D
What is cross-section?A cross-section is the intersection of a plane in an object giving some specific shapes.
Given are the names of shapes, we need to identify we can be the possible shape for the cross-sections of a cube.
Since, when a plane intersects a cube there is are so many shapes getting as cross-section.
Therefore,
A triangle = three adjacent faces of the cube are intersected.
A parallelogram = two pairs of opposite faces are intersected (rhombus or rectangle)
A pentagon = the plane meets all but one face of the cube
A hexagon = the plane meets all faces of the cube
Hence, in a way we can get all the given shapes as a cross-section of a cube.
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Bus route A arrives at its stop every 15 minutes. Bus route B arrives at its stop across the street every 40 minutes. If both buses are currently arriving at their stops, how many hours will pass before both buses arrive at the same time?
Answer:
120 minutes
Step-by-step explanation:
15 x 8 = 120
40 x 3 = 120
The Number of hours passed for both buses to arrive at the same time is the value of the least common multiple of the stop made by each bus. Hence, 120 minutes will pass before the buses arrive at the same time.
Bus route A = 15 minutes
Bus route B = 40 minutes
Multiples of :
15 = 15, 30, 45, 60, 75, 90, 105, 120, 13540 = 40, 80, 120, 160, 200, 240The least multiple common to both 15 and 40 is 120.
Therefore, 120 minutes will pass before both buses arrive at the same time.
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Can someone please help me
Help me plzzzzzz 100% and ill give a a Brainlist
Answer:
V≈302ft^3
Step-by-step explanation:
The equation for finding volume of a cone with slant height and radius is 1/3πr^2√l^2-r^2 input the values and solve, then round to the nearest cubic foot and you get 302
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In a survey of students, 60% were in high school. The percentage of the students who were not in high school was?
Answer:
Is it 40?
Step-by-step explanation:
Answer:
40%
Step-by-step explanation:
There is a total of 100%.
If you subtract the amount that are in high school (60%) from 100%, then you would get 40%. Hope this helps! :)