Answer: Each person gets 1 1/4 of a sandwich.
Step-by-step explanation: Kate is sharing five sandwiches, and there are three friends with her too. Each person gets a sandwich, but you have to cut the last one three times to make fourths for everyone. So, each person gets 1 and 1/4 of a sandwich.
Hope this helps! :)
If each person gets the same amount of sandwich then each person get
is 5/3.
What is Fraction?
The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.
We have,
Total sandwiches = 5
Total number of people = 3
Now, we have to equally divide 5 sandwiches among 3 Friends.
So, Each person get
= 1 full sandwich and 2/3 part
= 1 2/3 parts
= 5/3
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A coin is used to simulate the probability of parents having 1 boy and 1 girl if they have a total of two children. A head represents having a girl, and a tail represents having a boy. The coin is flipped twice for each trial. The first flip represents the first child, and the second flip represents the second child. The experiment was performed 12 times, and the results are recorded in the following table.
Trial First Flip Second Flip
1 H H
2 H T
3 T H
4 H T
5 T T
6 H H
7 T H
8 H T
9 H H
10 T T
11 T T
12 H H
Based on the simulation, what is the probability that parents will have 1 boy and 1 girl if they have a total of two children?
Enter your answer as a reduced fraction, like this: 3/14
From the table, it is found that there is a [tex]\frac{5}{12}[/tex] probability that parents will have 1 boy and 1 girl if they have a total of two children.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, out of 12 experiments, 5 resulted in one of each, hence:
[tex]p = \frac{5}{12}[/tex]
There is a [tex]\frac{5}{12}[/tex] probability that parents will have 1 boy and 1 girl if they have a total of two children.
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in a school of 330 students, 85 of them are in a drama club, 200 of them are in a sports team and 60 of them do both
find the probability that the student isn't in a sports or drama club
Answer:
105/330 = 21/66 = 7/22
7/22 is the answer I think
Step-by-step explanation:
n(U) = 330
n(A) = 85
n(B) = 200
n(A n B) = 60
Now,
n(A U B) = n(A) + n(B) - n(A n B)
or, n(A U B) = 85 + 200 - 60
or, n(A U B) = 285 - 60 = 225
Now,
n(A U B) compliment = n(U) - n(A U B)
n(A U B) compliment = 330 - 225
so, n(A U B) compliment = 105
Now,
probability = 105/330
6. The figure below is composed of nine congruent
squares. What is the area of the shaded portion?
12 in
Ath 12 in
The Area of the shaded portion = area of 5 shaded squares = 80 in.².
What is the Area of a Square?Area of a square = s², where the edge length is s.
Edge length of each small square = 12/3 = 4 in.
Area of the shaded portion = area of 5 shaded squares = 5(s²)
s = 4 in.
Area of the shaded portion = 5(4²)
Area of the shaded portion = 80 in.²
Therefore, the Area of the shaded portion = area of 5 shaded squares = 80 in.².
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7. What is the length of SW?
Answer:
SW = 130
Step-by-step explanation:
[tex]2(2x+5)=5x-20[/tex]
This is what the equation should be because this is a rectangle.
[tex]4x+10=5x-20[/tex]
Once you finish simplifying, move the numbers and variables over to get this.
[tex]x=30[/tex]
Then do multiplication and addition to get 130.
Find the surface area of the solid figure
Answer:
150
Step-by-step explanation:
area of your base (bh/2) 3x8/2 = 12
2 bases = 24
3 faces ---- Face1 - 7x5= 35 ------Face2 - 7x5 = 35 ------Face3 - 8x7 = 56
24 + 35 + 35 + 56 = 150
answer and explanation !!
QUICK PLS
Answer:
Step-by-step explanation:
diameter = 6 in
r = 6/2 = 3 in
h = 8 in
[tex]\textbf{Area of cylinder = $2\pi r(r+h)$ }[/tex]
[tex]= 2*3.14*3*(3+8)\\\\= 2*3.14*3*11\\\\= 207.24 \ in^{2}[/tex]
you buy a sandwich for $6.965, a salad for $3.25, and a drink for $1.79. if sales tax is 7%, how much change do you receive from $20 bill, rounded to the nearest cent?
6.965 + 3.25 + 1.79 = 12.005, now, let's apply a 7% taxation on that
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{7\% of 12.005}}{\left( \cfrac{7}{100} \right)12.005}\implies 0.84035~\hfill \underset{total~bill}{\stackrel{12.005~~ + ~~0.8435}{12.84535}} \\\\\\ 20~~ - ~~12.84535\implies 7.15465~~\approx ~~ \$7.15[/tex]
Please help! will give brainlest!
Answer:
1
Step-by-step explanation:
[tex] \tan \bigg( \frac{5\pi}{4} \bigg) \\ \\ = \tan \bigg( \pi + \frac{\pi}{4} \bigg) \\ \\ = \tan \bigg(\frac{\pi}{4} \bigg) \\ \\ = 1[/tex]
[tex]\tan \left(\dfrac{5 \pi}4 \right)\\\\\\=\tan \left(2 \cdot \dfrac{\pi}2 + \dfrac \pi4\right)\\\\\\=\tan \left(\dfrac{\pi}4 \right)\\\\\\=1[/tex]
If ∠A > ∠B, then what is the relation between AC and BC?
Answer:
ab and ac are congruent with each other
Answer:
BC > AC
Step-by-step explanation:
∠A > ∠B (Given)
Side opposite to larger angle is larger and side opposite to smaller angle is smaller.
->AC < BC
or
BC > AC
What is the length of the radius? startfraction 6 over 85 endfraction startfraction 85 over 12 endfraction startfraction 121 over 36 endfraction startfraction 157 over 12 endfraction
The length of the radius will be 22 units.
What is the radius?The radius of a circle is defined as the distance of the center of the circle to its outer layer. It is a locus of a point present at some distance from the center point.
Now from the question, we have an expression:
[tex]r=(\dfrac{6}{85} )\times(\dfrac{85}{12} )\times (\dfrac{121}{36} )\times (\dfrac{157}{12} )[/tex]
By solving the above equation we get
[tex]r=(\dfrac{18997}{864} )[/tex]
[tex]r=22[/tex]
Hence the length of the radius will be 22 units.
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Answer:
85/12
Step-by-step explanation:
What value of k make the equation 7(14k + 15) -7 = 19k + 6 (-13 + 15k) true?
A. -5
B. -9
C. 16
D. 25
what two numbers add up two 40 but multiply to get 100
The two numbers are illustrations of system of equations
The two numbers are 2.7 and 37.3
How to determine the two numbers?Let the numbers be x and y.
So, we have the following equations
x + y = 40
xy = 100
To determine the value of the variables, we simply plot the graph of both equations
From the graph, we have the following result
(x,y) = (2.7, 37.3)
Hence, the two numbers are 2.7 and 37.3
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Please help! Will mark brainliest <3. (Click on the photo too see the question!)
Answer:
☐ [tex]\displaystyle \textcolor{blue}{A.}\:\angle{S}\:and\: \angle{J}[/tex]
☑ [tex]\displaystyle \textcolor{blue}{B.}\:\angle{G}\:and\: \angle{M}[/tex]
☐ [tex]\displaystyle \textcolor{blue}{C.}\:\angle{H}\:and\: \angle{P}[/tex]
☑ [tex]\displaystyle \textcolor{blue}{D.}\:\angle{R}\:and\: \angle{U}[/tex]
Explanation:
Accourding to the Vertical Angles Theorem, vertical angles are considered congruent. So, we need to make sure find all pairs of angles that reflect each other like a mirror [NO LINEAR INTERFERENSES], and those would be the above checked checkboxes.
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Find ℒ{f(t)} by first using a trigonometric identity. (write your answer as a function of s. ) f(t) = cos2(t)
The Laplace transform of f(t) = cos² t is equal to the following expression: [tex]\mathcal {L} \{\cos^{2} t\} = \frac{1}{2\cdot s} - \frac{s}{2\cdot (s^{2}+2)}[/tex].
How to determine the Laplace transform of a non-simple trigonometric expression
In this we need to rewrite the given function in terms of sines and cosines, whose Laplace transforms are well known. There is the following trigonometric formula:
[tex]\cos ^{2} t = \frac{1-\cos 2t}{2}[/tex] (1)
Now we proceed to apply the Laplace transforms:
[tex]\mathcal {L} \{f(t)\} = \frac{1}{2}\cdot \mathcal {L} \left\{1 \right\}-\frac{1}{2}\cdot \mathcal {L}\left\{\cos 2t\right\}[/tex]
[tex]\mathcal {L} \{\cos^{2} t\} = \frac{1}{2\cdot s} - \frac{s}{2\cdot (s^{2}+2)}[/tex]
The Laplace transform of f(t) = cos² t is equal to the following expression: [tex]\mathcal {L} \{\cos^{2} t\} = \frac{1}{2\cdot s} - \frac{s}{2\cdot (s^{2}+2)}[/tex]. [tex]\blacksquare[/tex]
Remark
The statement is poorly formatted, the correct form is shown below:
Find [tex]\mathcal {L}\{f(t)\}[/tex] by first using a trigonometric expression. (Write your answer as a function of s). f(t) = cos² t
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How many distinct subsets of the set $s=\{1,8,9,39,52,91\}$ have three-digit sums?
The number of distinct subset of the set is an illustration of combination
There are 34 distinct subset of the set that have three digit sums
How to determine the number of distinct subsets?The set is given as:
S = {1,8,9,39,52,91}
Group the elements
S = {(1,8),9,39,52,91}
So, we have:
S ={s1,s2,s3,s4,s5}
To have a three-digit sum, the sum of the selected elements must be 100 or above.
The number of ways the above set can be selected is:
[tex]n_1 = 4 * [^3C_1 + ^3C_2 + ^3C_3] + 1[/tex]
Evaluate
[tex]n_1 = 4 * [3 + 3 + 1] + 1[/tex]
[tex]n_1 = 29[/tex]
The set can be further rearranged as:
S = {(52,39),9,(8,1)}
i.e.
S = {b1,b2,b3}.
The number of ways the above set can be selected such that the sum is 100 or above is:
[tex]n_2 = 2 * [^2C_1] + 1[/tex]
Evaluate
[tex]n_2 = 2 * 2 + 1[/tex]
[tex]n_2 = 5[/tex]
So, the total number of ways is:
[tex]n = n_1 +n_2[/tex]
This gives
[tex]n = 29 +5[/tex]
[tex]n = 34[/tex]
Hence, there are 34 distinct subset of the see that have three digit sums
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There are 34 distinct subsets of the see that have three-digit sums.
What are distinct subsets of the set?When we know that S is a subset of T, we place the circle representing S inside the circle representing T.
The set is given as:
S = {1,8,9,39,52,91}
Group the elements
S = {(1,8),9,39,52,91}
S ={s1,s2,s3,s4,s5}
To have a three-digit sum, the sum of the selected elements must be 100 or above.
The number of ways the above set can be selected is:
[tex]\rm n_1=4\times (^3C_1+^3C_2+^3C_3)+1\\\\n_1=4(3+3+1)+1\\\\n_1=4 \times 7+1\\\\n_1=28+1\\\\n_1=29[/tex]
The set can be further rearranged as:
S = {(52,39),9,(8,1)}
S = {b1,b2,b3}.
The number of ways the above set can be selected such that the sum is 100 or above is:
[tex]\rm n_2=2\times ^2C_1+1\\\\n_2= 2\times 2+1\\\\n_2=4+1\\\\n_2=5[/tex]
The distinct subsets of the set are;
[tex]\rm n_1+n_2=29+5 =34[/tex]
Hence, there are 34 distinct subsets of the see that have three-digit sums.
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How do function models help us to understand the world?
Answer:
mathematical represents alot of stuff in the really world
PLEASE HELP ill like!!!!!! Its 20 points
Answer:
1. Degree= 6, trinomial
2. degree= 4, binomial
Step-by-step explanation:
1. The largest exponent is 6 making it the degree and there are three terms because (m^5n^2), (mn^2), (n^6).
2. Since (9a^2bc^2) has the more than 1 exponent, you add them and the degree is 4. There are two terms because (2a^3b), (9a^2bc^2).
In a regular polygon the line from the center to the mid-point of an outer side is a(n)
Answer:
The apothem (sometimes abbreviated as apo) of a regular polygon is a line segment from the center to the midpoint of one of its sides. Equivalently, it is the line drawn from the center of the polygon that is perpendicular to one of its sides.
Step-by-step explanation:
Apothem In a regular polygon the line from the center to the mid-point of an outer side is a(n).
What is a cube?It is a polygon having six faces.
The volume of a cube is a side cube.
We have,
The apothem of a regular polygon is a line segment from the center to the midpoint of any one of its sides.
Thus,
The line from the center to the mid-point of an outer side is a(n) is Apothem.
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A company makes wax candles in the shape of a cylinder. Each candle has a diameter of 8 inches and a height of 2 inches. How much wax will the company need to make 160 candles? Use 3.14 for[tex]\pi[/tex] , and do not round your answer.
Answer: 18,086.4 cubic units
Step-by-step explanation:
the radius squared: 3×3.14×4²=150.72.
If you want to make 120 candles, multiply that number by 120: 150.72×120=18086.4.
The Roberts family uses a container shaped like a cylinder to recycle aluminum cans. It has a height of 4 feet and a diameter of 1.5 feet. The container is full.
The Volume of the container is: 28.3 ft3
How much do the contents weigh if the average weight of aluminum cans is 37 ounces per cubic foot?
The volume of the container is the amount of can in it
The contents weigh 1047.1 ounces
How to determine the weight of the container?The given parameters are:
Volume = 28.3 cubic feet
Average weight of can = 37 ounces per cubic foot
So, the weight of the container would be:
Weight = Volume * Average weight of can
Substitute known values
Weight = 28.3 cubic feet * 37 ounces per cubic foot
Evaluate the product
Weight = 1047.1 ounces
Hence, the contents weigh 1047.1 ounces
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3-5 1/3 on a number line
forgot can you explain the answer
Answer:
18 is 30% of 60
Step-by-step explanation:
Try to line up percents % and the actual numbers they represent.
number : precent
60 is 100%
18 is x %
cross multiply
x·60 = 100·18
divide both sides by 60 to isolate x
x = ((100·18)/60
x = 30
How do I solve the area for the shapes?
Answer:
shaded: 45 units²non-shaded: 36 units²total area: 81 units²Step-by-step explanation:
A "shaded area" problem can be worked by directly computing the area of the shaded shape, or by decomposing the figure in a convenient way. Here the overall square can be decomposed into unshaded triangles and a shaded square. The triangles have dimensions given, but the smaller square does not. Work must necessarily proceed from given dimensions to arrive at the values associated with dimensions not given.
For a problem like this, working the last question first can make it easier.
TotalThe total area is the area of a square 6+3 = 9 units on a side. Its area is ...
Total area = s² = (9 units)² = 81 units²
__
Non-shadedThe area of each of the four non-shaded triangles is ...
A = 1/2bh = 1/2(6 units)(3 units) = 9 units²
There are 4 triangles with that area that are not shaded, so ...
Non-shaded region = 4 × (9 units²) = 36 units²
__
ShadedThe shaded region is that portion of the total area that is not Non-shaded. Its area will be the difference ...
Shaded area = Total area - Non-shaded area
Shaded area = 81 units² -36 units² = 45 units²
what's the square root of the area of a square with side 13?
Area :-
[tex]\\ \rm\rightarrowtail side^2[/tex]
[tex]\\ \rm\rightarrowtail 13^2[/tex]
[tex]\\ \rm\rightarrowtail 169[/tex]
Square root:-
√169=13Solve using substitution
I WILL GIVE THANKS AND MARK BRAINLIEST.
Answer:
[tex]\displaystyle Dependency\:[Infinitely\:Many\:Solutions][/tex]
Explanation:
In the bottom equation, moving [tex]\displaystyle -2x[/tex]to the oppocite side will give you the linear standard equation above it, therefore numerous solutions will occur.
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4/5 and -4/5 are same or not
Answer:
not
Step-by-step explanation:
Answer:
4/5 and -4/5 are not same because
4/5=
An equilateral triangle with side length 7 cm is shown in the diagram, work out the area of the triangle.
Give your answer rounded to 1 DP.
What is 164 divided by 5.40
Answer:
30.37
Step-by-step explanation:
164÷5.40164×100/54016400/540give 30.37Answer:
[tex]164 \div 5.40 ={\ 30.3704{}}[/tex]
The answer is 30.3704
please solve this
with each step
Step-by-step explanation:
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HELP Two workers, if they were working together, could finish a certain job in 24 days. If one of the workers does the first half of the job and then the other one does the second half, the job will take them 50 days. How long would it take each worker to do the entire job by himself?