Answer:
1/18
Step-by-step explanation:
Use the counting principle to find the total number of different sandwiches you can make.
2 breads
3 meats
3 condiments
Total number of different sandwiches = 2 × 3 × 3 = 18
There are 18 possible sandwiches.
You are intereseted in 1 specific sandwich out of the 18.
p(wheat bread, ham, mustard) = 1/18
1/18 is the probability that you will make a sandwich with wheat bread, ham, and mustard.
What is a number?A number is an arithmetic value used to represent quantity.
We can use the counting principle to find the total number of ways to make different sandwiches.
2 breads, 3 meats, and 3 condiments.
Total number of sandwich varieties = 2* 3* 3 = 18
There are 18 possible sandwiches.
You're only interested in one of the 18 sandwich varieties.
i.e. p(wheat bread, ham, mustard) = 1/18
Hence, the probability that you will make a sandwich with wheat bread, ham, and mustard is 1/18.
To learn more about number, use the link given below:
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Complete part (a) and part (b) given the following system of equations.
x-y=1
x + 3y =9
Write your answer.
Answer:
(3,2)
Step-by-step explanation:
Setting up equation so we can use substitution method
x - y = 1 , x + 3y = 9
step 1 set first equation equal to x by adding y to both sides so we can use the substitution method to solve the system of equations.
x = y + 1 , x + 3y = 9
now we can plug in ( or substitute hence substitution method ) the first equation into the second
Solving for y using the substitution method
x + 3y = 9
plug in x = y + 1
y + 1 + 3y = 9
combine like terms
4y + 1 = 9
subtract 1 from both sides
4y = 8
divide both sides by 4
y = 2
Now to find the value of x we plug in the value of y into one of the equations and solve for x.
Solving for x
x - y = 1
y = 2
x - 2 = 1
add 2 to both sides
x = 3
The solution would be (3,2)
Answer:
x = 3 and y = 2 or (3,2) in coordinate form
Step-by-step explanation:
Given:
[tex]\displaystyle \large{\begin{cases} x-y=1 \\ x+3y=9 \end{cases}}[/tex]
Solve by elimination of x-terms by multiplying either one of equations with -1:
For this, I choose to multiply -1 in first equation:
[tex]\displaystyle \large{\begin{cases} -1(x-y=1) \\ x+3y=9 \end{cases}}\\\displaystyle \large{\begin{cases} -x+y=-1 \\ x+3y=9 \end{cases}}[/tex]
Then add both equations:
[tex]\displaystyle \large{-x+x+y+3y=-1+9}\\\displaystyle \large{4y=8}[/tex]
Divide both sides:
[tex]\displaystyle \large{\dfrac{4y}{4} = \dfrac{8}{4}}\\\displaystyle \large{y=2}[/tex]
Next, substitute y = 2 in one of equations to solve for x:
For this, I choose to substitute y = 2 in the first equation:
[tex]\displaystyle \large{x-y=1}[/tex]
Substitute y = 2 in:
[tex]\displaystyle \large{x-2=1}[/tex]
Add both sides by 2:
[tex]\displaystyle \large{x-2+2=1+2}\\\displaystyle \large{x=3}[/tex]
Hence, the solution is x = 3 and y = 2 or you can write as in coordinate form (3,2)
__________________________________________________________
First method is elimination method, I’ll demonstrate another method which is by using matrices to find the solutions.
Given:
[tex]\displaystyle \large{\begin{cases} x-y=1 \\ x+3y=9 \end{cases}}[/tex]
Write the system of equations in matrices form:
[tex]\displaystyle \large{\left[\begin{array}{ccc}1&-1\\1&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] =\left[\begin{array}{ccc}1\\9\end{array}\right]}[/tex]
Let:
[tex]\displaystyle \large{A=\left[\begin{array}{ccc}1&-1\\1&3\end{array}\right] }\\\displaystyle \large{X=\left[\begin{array}{ccc}x\\y\end{array}\right] \\\displaystyle \large{B = \left[\begin{array}{ccc}1\\9\end{array}\right] }[/tex]
From [tex]\displaystyle \large{AX=B \to X=A^{-1}B}[/tex] where:
[tex]\displaystyle \large{A^{-1}=\dfrac{1}{\det A} \left[\begin{array}{ccc}d&-b\\-c&a\end{array}\right] = \dfrac{1}{ad-bc} \left[\begin{array}{ccc}d&-b\\-c&a\end{array}\right] }[/tex]
Find [tex]\displaystyle \large{\det A}[/tex]:
[tex]\displaystyle \large{\det A = ad-bc = 3+1=4}[/tex]
Therefore:
[tex]\displaystyle \large{A^{-1} = \dfrac{1}{4}\left[\begin{array}{ccc}3&1\\-1&1\end{array}\right]}\\\therefore \displaystyle \large{X = \dfrac{1}{4}\left[\begin{array}{ccc}3&1\\-1&1\end{array}\right] \left[\begin{array}{ccc}1\\9\end{array}\right]}[/tex]
Evaluate the matrices:
[tex]\displaystyle \large{X= \dfrac{1}{4}\left[\begin{array}{ccc}3(1)+1(9)\\-1(1)+1(9)\end{array}\right] }\\\displaystyle \large{X= \dfrac{1}{4}\left[\begin{array}{ccc}3+9\\-1+9\end{array}\right] }\\\displaystyle \large{X= \dfrac{1}{4}\left[\begin{array}{ccc}12\\8\end{array}\right]}\\\displaystyle \large{X= \left[\begin{array}{ccc}3\\2\end{array}\right] }\\\therefore \displaystyle \large{\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}3\\2\end{array}\right]}[/tex]
Therefore, the solution is x = 3 and y = 2
B3: Jill filled up her car with 15 gallons of gas for $43.35. Bill filled up his car with 22 gallons of gas for $61.82. Who got the better deal on gas?
Answer:
Bill go the better deal
Step-by-step explanation:
43.35/15=2.89
61.82/32=2.81
Each side of a square barn is 9 meters long. What is the barn's area?
What is the barn's perimeter?
Answer:
Perimeter = 36 meters.
Area = 81 meters.
Step-by-step explanation:
To find the perimeter of a square you have to add all sides.
To find its area you have to multiply the base by the height of a square.
translate the triangle 3 to the right and 2 down
Answer:
Step-by-step explanation:
There is no picture but I can give you an explanation of how to do it. You would take each point (vertice) of the triangle and move it on the x-axis 3 and on the y-axis -2. So for example, a point-like (5,4) would become (8,2) You would then repeat this for the remaining vertices.
What is the value of tan 0 in the circle below
Answer:
tan theta = root3/3
see image
Step-by-step explanation:
The tangent is y/x in the unit circle. Use Keep-Change-Flip to simplify. See image. You also cannot leave a radical (square root) on the bottom of a fraction, so we need to "fix" that also. Multiply to rationalize (the "fix") see image.
Can someone help? I don’t get this one
Answer:1.4*10^-9
Step-by-step explanation:
Answer:
1.4×10−x^-{9}
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10.
If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Hopefully this helps you!
- Matthew
Use the defined sets to answer the questions. assuming 0 is an even integer, which set is the complement to set b? which set is an empty set? which set would contain the subset e = {1, 3, 5, 7}?
The universal set contains all possible elements in the set
The complement of set B is the set D.The empty set is the set CThe set D contains the subset E = {1, 3, 5, 7}The complement of set BThe sets are given as:
A = {x | x ∈ U and x > 3} B = {x | x ∈ U and x is an even integer} C = {x | x ∈ U and 2x is an odd integer} D = {x | x ∈ U and x is an odd integer}Where the universal set is:
U = {all integers}
The set B is the set of all even integers.
So, its complement would be the set of all odd integers i.e. set D
Hence, the complement of set B is the set D.
The empty setFrom the set definition, we have:
C = {x | x ∈ U and 2x is an odd integer}
This means that the set C contains elements 2x, where 2x is an odd number.
The element x is an integer, and twice an integer (i.e. 2x) is an even number.
This means that 2x cannot be an odd number;
Hence, the empty set is the set C;
The set that contains the subset E = {1, 3, 5, 7}The subset E = {1, 3, 5, 7} contains odd integers.
From the set definition, set D represents the set of odd integers
Hence, the set D contains the subset E = {1, 3, 5, 7}
Read more about sets at:
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Answer:
D,C,D
Step-by-step explanation:
On edge 2023
Use the student's work to complete the problem. What
is the product of 3/9 and 2/5
Answer:
2/15
Step-by-step explanation:
3/9*2/5=
1/3*2/5=
2/15
on a number line show all the values of X that have an absolute value less than three
Answer:
x can equal 2, 1, 0, -1, -2. A line graph is shown below.
Step-by-step explanation:
The absolute value means simply changing any negative number into a positive number. In this case, anything less than three and more than -3. If it was negative 3, then it would turn into 3. Which isn't less than. This means we can do : 2, 1, 0, -1, -2.
x can equal 2, 1, 0, -1, -2.
4.72x 10 to the 10th power in standard form
Answer:
47,200,000,000
Step-by-step explanation:
[tex]4.72*10^{10}[/tex] is in scientific form (notation).
To change this to standard form, we must move the decimal over the amount in the exponent. In this case, that is 10.
Answer:
Step-by-step explanation:
find the volume and the surface area of the shape
Answer: 192 is the volume of the shape
Step-by-step explanation: multiply the base area which is 6 and 8 equals to 48 and times the height so 48 Times 12 Equals 576. Sorryyy I don't know the surface area . Divide by 3 equals to 192
Solve for w : 5w squared - 5w = 0
Answer:
The answer is 1
Step-by-step explanation:
5w² – 5w = 0
Add 5w both side
5w² – 5w + 5w = 5w – 5w
5w² = 5w
Now, Divide both side by 5w we get,
5w²/5w = 5w/5w
w = 1
Thus, The value of w is 1
Answer:
w = 1
Step-by-step explanation:
Given :
5w² - 5w = 0Bring 5w to the other side.
5w² = 5w 5 and w are each present on both sides so they cancel out, leaving us with :w = 1Given sinx=0.3, what is cosx? enter your answer as a decimal in the box. round only your final answer to the nearest hundredth.
The value of the cox will be equal to Cosx=[tex]\pm[/tex]0.95
What is the value of cosx?It is given that
The value of Sinx=0.3
Now we know that
[tex]Sin^2x+Cos^2x=1\\\\0.3^2+Cos^2=1\\\\Cos^2=1-0.3^2\\\\Cos^2x=1-0.9\\\\Cos^x=0.91\\\\Cos=\sqrt{0.91}\\\\Cosx=\pm 0.95[/tex]
Hence the value of Cosx=[tex]\pm[/tex]0.95
To know more about trigonometry identities follow
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Kalyue drew a rectangle with a perimeter of 20 inches. Then he tried to draw a square with a perimeter of 20 inches. What are the dimensions of square with a perimeter of 20 inches?
Step-by-step explanation:
a square has 4 identical sides.
so, when you have to "walk" around the perimeter of a square you have to go 4 times the same distance.
therefore
20 = 4×side length
side length = 20/4 = 5 in
it is a 5 in × 5 in square.
FYI a rectangle has 2 pairs of sides that are equally long inside their pair.
and so you have in this case a perimeter of
2×6 + 2×4 = 12 + 8 = 20 in
Ejemplos: 4 x 5 = 20 -4.3 = -12 -6-9 = 54 (7) (-7) = -49 Ejercicios: 1. Resuelve 1) -6.4= 2) 4.2 = 5 3) 3 • (-4) = 4) 6 (-4) = 5) (5) (-4) = 6) (-3) (-4) = 7 -5x6= 8) -2 x 1 = 9) -8 -2 = 10) -8 • 4 =
Answer:
37
Step-by-step explanation:
it just it
The perimeter of arectangular poultry farm is 38 meter . if 3 meter subtracted from its length and 2 meter from its breadth , the length will be two times the breadth .find the area of the farm
Answer:
82 2/9 square meters
Step-by-step explanation:
The problem statement gives us two relations between length and width. We can write those using equations and the variables L and W for length and widh, in meters.
P = 2(L +W) . . . . . . formula for the perimeter of a rectangle
38 = 2(L +W) . . . . . the perimeter is 38 meters
(L -3) = 2(W -2) . . . . length less 3 is twice the difference of wdith and 2.
__
Dividing the first equation by 2 gives ...
19 = L +W
Solving this for L gives ...
L = 19 -W
Substituting for L in the second equation, we have ...
(19 -W) -3 = 2(W -2)
16 -W = 2W -4 . . . . . . . simplify
20 = 3W . . . . . . . . . . . add W+4
W = 20/3 . . . . . . . . . divide by 3
L = 19 -20/3 = 37/3 . . . . find L from W
__
The area of the farm is the product of length and width:
A = LW = (37/3 m)(20/3 m) = 740/9 m²
A = 82 2/9 m²
The area of the farm is 82 2/9 square meters.
1) Advertisement XYZ Company charges $35 for the first four lines and $5.25 per extra
line to run the ad for one week. Jacqueline plans to sell her house and places a 15-line
ad.
a. What will Jacqueline's ad cost to run for one week?
b. What will Jacqueline's ad cost to run for four weeks?
Answer:
a) $92.75, b) $371Step-by-step explanation:
Let the cost be A.
a) Cost to run ad for one week:
A = 35 + 5.25 (15 - 4) = 35 + 5.25*11 = 92.75b) Cost to run ad for four weeks:
4A = 4*92.75 = 371Answer:
See below ↓↓
Step-by-step explanation:
Cost to run one week
$35 [first 4 lines] + $5.25 x 11 [15 - 4 = 11 remaining lines]$35 + $57.75$92.75Cost to run four weeks
Cost of one week x 4$92.75 x 4$368 + $3$371I need this answered please
Answer:
37
Step-by-step explanation:
Pythagorean theorem: a^2 + b^2 = c^2
Lets put the values in now :)
35^2 + 12^2 = c^2
1225 + 144 = c^2
1369 = c^2
Now we need to find the square root!
[tex]\sqrt{1369}[/tex] = 37
Have a great day!!
Please rate and mark brainliest!!
Hey Buddy !
Question : -For the following right triangle , find the side length x .
Given : - Perpendicular = 12 Base = 35Hypotenuse = x To Find : -We have to find the value of x .
Concept : -The concept of this question belongs to Pythagoras theorem . We have to find the value of x by using Pythagoras Theorem .
Pythagoras Theorem : -According to Pythagoras Theorem , in a right angle triangle the sum of square of perpendicular and base is equal to square of hypotenuse .
[tex] \longmapsto \: \pink{ \boxed{{H {}^{2} = P {}^{2} + B {}^{2} }}}[/tex]
Where ,
H = HypotenuseP = PerpendicularB = BaseFrom Here Solution Starts : -Substituting the values in formula :
x² = 12² + 35²x² = 144 + 1225x² = 1369x = √1369x = 37[tex] \blue{ \boxed{ \sf{Therefore , \: value \: of \: x \: is \: 37 }}}[/tex]
#[tex] \rm{ \bold{Keep \: Learning}}[/tex]pls help me
What is the volume of the figure?
Answer:
V = 76 ft³
Step-by-step explanation:
We can find the volume of the figure by finding the sum of volume of the small rectangular prism and big rectangular prism.
V of a rectangular prism = length*hight* width
V = V (big rectangular prism) + V (small rectangular prism)
V = (8·4·2) +(3·2·2)
V = 64 + 12
V = 76 ft³
ello mate, i need help with this here question can you help a girl out and if ya do ill give you brainlist :D
Answer:
B
Step-by-step explanation:
Add the value of the dots
0 + 3/8 + 3/8 + 4/8 + 5/8 + 7/8 = 22/8 = 2 6/8
Provide the missing reasons for the proof.
Given: (AB) || (RS)
Prove: QA/QR= QB/QS
Answer:
Step-by-step explanation:
1) Given
2) <Q is congruent to <Q by reflexive prop of congruence
3) <QBA is congruent to <QSR by alternate interior angles theorem
4) Triangle QBA is similar to triangle QSR by AA theorem
5) QA/QR=QB/QS by CPSP (corresponding parts of similar polygons are proportional)
You are a chef and you are tasked to prepare a lunch menu proposal for an upcoming
symposium of different youth organizations to be catered by the restaurant your
restaurant. You need to do the following:
1. Come up with 5 sets of lunch menus with a unique title for each. Consider the
different food preferences (according to the age group, culture, and others). (You
may include descriptions and appetizing pictures.)
2. Out of these menus, how many ways can the event organizer choose 3 out of the
five lunch menus you prepared for their initial selection? (Show your solution)
a. With repetition
b. Without repetition
3. Give at least 3 of these ways.
a. With repetition
b. Without repetition
Your output will be rated according to the following criteria:
Presentation of the Lunch Menus (which may include pictures). Accuracy of the use of
Mathematical Concepts (Combination and/or Probability of Simple Events), and
Feasibility of the Proposed Lunch Menus.
The lunch menu is an illustration of permutation and combination
There are 125 ways to select three lunch menus with repititionThere are 10 ways to select three lunch menus without repititionThe lunch menu
To answer this question, the following set of lunch menu would be used:
Fish and chips.Ham sandwich.Superfood salad.Cheese sandwich.Jacket potato with filling.How to select 3 lunch menu with repitition?Since the event organizers can repeat lunch menu, then each of the 5 lunch menus can be selected each of the 3 times.
So, the number of selection is:
n = 5³
Evaluate
n = 125
Possible selections are:
Fish and chips, Jacket potato with filling and Jacket potato with filling.Ham sandwich, Ham sandwich and Ham sandwichHam sandwich, Superfood salad and Cheese sandwichHow to select 3 lunch menu with repitition?Since the event organizers cannot repeat lunch menu, then each of the 5 lunch menus can be selected once of the 3 times.
So, the number of selection is:
n = ⁵C₃
Evaluate
n = 10
Possible selections are:
Fish and chips, Jacket potato with filling and Ham sandwichHam sandwich, Superfood salad and Cheese sandwichFish and chips, Ham sandwich and Superfood salad.Read more about combination at:
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Please someone help i dont understand
ill upload the rest in a second
PLEASEEEE HELLPPPP!!!!!!!!!!!!!!!!
Does the point (1, -1) lie on the line (-10x + 5y = -8)? Explain why/why not.
In order to see whether or not a point lies on the line, we need to plug in the x-coordinate (instead of x) and plug the y-coordinate instead of y.
In this case, the x-coordinate is:-
[tex]\mathrm{1}[/tex]
and the y-coordinate is:-
[tex]\mathrm{-1}[/tex]
Plug in the values:-
[tex]\mathbf{-10(1)+5(-1)=-8}[/tex]
[tex]\mathbf{-10-5=-8}[/tex]
[tex]\mathbf{-15=-8}[/tex]
Huh?!
As you can see, we ended up with a false statement.
Hence, the answer is:-
[tex]\bigstar{\boxed{\pmb{The~point~(1,-1)~doesn't~lie~on~the~line}}}[/tex]
Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
Answer:
the point (1, -1) doesn’t lie on the line (-10x + 5y = -8)
Step-by-step explanation:
Generaly , a point A(x₀ , y₀) lies on the line of equation ax + by = c
If its coordinates verify the equation which means
When we replace x by x₀ and y by y₀ in our equation we get ax₀ + by₀ = c
Then
just replace x by 1 and y by -1 in the equation: -10x + 5y = -8
We get , -10(1) + 5(-1) = -10 - 5 = -15
Since -15 ≠ -8 then (1 , -1) don’t verify the equation
Hence , the point (1, -1) doesn’t lie on the line (-10x + 5y = -8)
If PQ || SR and PQRS is an isosceles trapezoid,
find m<1
Answer: B
Step-by-step explanation:
1-4
Stan volunteered to work overtime for 6 weeks. He worked an
average
of 47 hours per week. Use the equation h = 6 = 47 to find
the total number of hours Stan worked over the 6 weeks.
Answer:
282 Hours after 6 weeks
Step-by-step explanation:
Multiply the 6 weeks and the 48 hour a week adverage and theres your answer!
using the similar triangles below, solve for x !
Answer:
Step-by-step explanation:
Remarks.
This can be solved as a proportion. A proportion is 2 ratios making a total of 4 parts. If we know 3 of the parts, we can solve for the 4th.
63/(8x - 2) = 49 /42
Notice that the given parts of the top triangle are the numerators of the ratios. The 2 parts of the bottom triangle are the denominators of the proportions
Proportion
63/(8x - 2) = 49 /42
Solution
63/(8x - 2) = 49 /42 Cross Multiply
(8x - 2)*49 = 63 * 42 Combine the right.
(8x - 2)*49 = 2646 Divide by 49
8x - 2 = 54 Add 2 to both sides
8x -2+2=54+2 Combine
8x = 56 Divide by 8
8x/8 = 56/8
Answer: x = 7
2. Find the surface area of the regular pyramid shown to the nearest whole
number.
Answer:
208m^2
Step-by-step explanation:
area of hexagon = 93.53 using its equation
area of single triangle = 0.5(6*6)
area of all triangles = 6(0.5(6*6))
total area = 207.53
NWN = 208
Explain how you could calculate the surface area of a square pyramid
There are two different ways to find surface area of square pyramid
1st
If you are given the slant height and the side length[tex]\sf surface \ area \ = \ a^2 + 2(a)(l)[/tex]
a = side lengthl = slant height2nd
If you are given the height and the side length[tex]\sf surface \ area = a^2+2a\sqrt{\dfrac{a^2}{4}+h^2 }[/tex]
a = side lengthh = heightAnswer:
sample response
Step-by-step explanation: :)
You would first calculate the area of the base, which is length times width. You would then calculate the area of the faces, which is 1 2 (base times height) and multiply the result by 4 for the 4 faces. Finally, add the area of the base and the areas of the faces.
