The lowest common multiple is 24, from this we conclude that you need to buy 3 sausage packages and 2 bun packages so you have the same number of sausages and buns.
What is the least number of hot dogs and buns you can buy so that you have the same of each?Sausages come ni packages of 8, while buns come in packages of 12. So here we need to find the lowest common multiple between 8 and 12.
If we decompose these two numbers as a product of primes:
8 = 2*2*2
12 = 2*2*3
To have the lowest common multiple we need to multiply 12 by 2 and 8 by 3, then we get:
8*3 = 24
12*2 = 24
The lowest common multiple is 24, from this we conclude that you need to buy 3 sausage packages and 2 bun packages so yo have the same number of sausages and buns.
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help me please FIJDJSHEHE
Answer: 0
Step-by-step explanation:
because -2+-1 is -3. then -3+0 is just -3. lastly -3+1 = -2 and -2 + 2 = 0
Solve for x:
-12 = 1/2(6x - 12)
Answer:
x = -2
Step-by-step explanation:
-12 = 1/2(6x - 12) Multiply everything inside the parentheses by 1/2
-12 =1/2(6x) - (1/2)(12)
-12 = 3x - 6 Add 6 to both sides of the equation
-6 = 3x Divide both sides by 3
-2 = x
Check:
Plug -2 in for x and see if statement is true
-12 = 1/2(6x - 12)
-12 = 1/2[(6)(-2) - 12] Simplify inside the brackets
-12 = 1/2(-12 -12)
-12 = 1/2 (-24)
-12 = -12
the distance between two cities on a map measures 3.75 inches. the scale shows that 2 inches is equal to 50 miles . how many miles apart are the cities
Which number line shows the solution to the inequality? – 7x+3≥ – 18
The solution to the inequality is x ≥ 3
How to determine the solutionGiven the inequality;
– 7x + 3 ≥ – 18
To determine the solution , we take the following steps;
collect like terms
-7x ≥ - 18 - 3
Find the difference
- 7x ≥ - 21
Make 'x' the subject of the formula by dividing both sides by its coefficient, - 7
We have;
-7x / -7 ≥ - 21/ -7
x ≥ 3
Thus, the solution to the inequality is x ≥ 3
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Please help also I know the answers there are wrong
If possible explain how you got the answers
The values of all the required angles are; m∠5 = 42°; m∠8 = 138°; m∠10 = 138° and m∠11 = 42°
How to Identify corresponding angles?
Corresponding angles are formed where a line known as an intersecting transversal, crosses through a pair of straight lines.
Now, we are given that; m∠1 = 42°
By corresponding angles, we can say that;
m∠1 = m∠5
Thus; m∠5 = 42°
Now, we know that sum of angles on a straight line is equal to 180° i.e. they are supplementary angles.
Now, from the diagram, we can see that m∠5 and m∠8 are supplementary angles and as such;
m∠5 + m∠8 = 180°
42 + m∠8 = 180
m∠8 = 180° - 42°
m∠8 = 138°
Now, m∠9 is a corresponding angle to both m∠1 and m∠5. Thus, we can say that; m∠9 = 42°. However, m∠9 is supplementary to m∠10. Thus;
m∠10 = 180 - 42
m∠10 = 138°
Lastly, m∠10 and m∠11 are supplementary angles and as such;
m∠10 + m∠11 = 180°
138 + m∠11 = 180
m∠11 = 180° - 38°
m∠11 = 42°
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The names of 20 students in the class will be put in a hat. The class consists of 12 freshmen, 6 sophomores, and 2 juniors. If a sophomore was chosen there, how likely is it that another sophomore will get to play today?
If a sophomore was chosen yesterday, the probability that a sophomore will be chosen again today is 3/10.
Given, number of students name put into the hat = 20
total number of freshmen in the class = 12
total number of sophomore in the class = 6
total number of juniors in the class = 2
we are asked to determine the probability that the sophomore will be selected the second day also = ?
Calculating a situation's probability allows us to determine its likelihood. Absolute certainty in forecasting is challenging in many situations. With its help, we are only able to anticipate the likelihood, or chance, that an event would occur.
from the given data,
n(s) = 20
n(A) = 6 ⇒ as the name selected in the first day is put back in the hat.
⇒ P(A) = n(A)/n(s)
P(A) = 6/20
P(A) = 3/10
hence the probability that the another day again a sophomore will be chosen is 3/10.
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Add these fractions:
3/5 + 6/8
Answer:
[tex]\frac{27}{20}[/tex]
Step-by-step explanation:
[tex]\frac{3}{5} + \frac{6}{8}[/tex]
adjust the denominators;
= [tex]\frac{3*8}{5*8} + \frac{6*5}{8*5}[/tex]
[tex]=\frac{24}{40} + \frac{30}{40} \\\\=\frac{24+30}{40} \\\\=\frac{54}{40} \\\\simplify\\\\=\frac{27}{20}[/tex]
The box plot represents the distribution of speeds, in miles per hour, of 100 cars as they passed through a busy intersection.
What is the first quartile? Interpret this value in the situation.
About *insert fraction* of the cars going through the intersection were going *Q1* or slower.
Answer:
Step-by-step explanation:
Given,
N= 100
Q1=?
We know that,
Q1= N/4
= 100/4
= 25
Last year, Salma invested her money in two purchases. She purchased a certificate of deposit for $3000 that paid 5% interest per year and purchased $7000 in corporate bonds paying 4% interest per year. Answer the questions below. Do not do any rounding.
Answer:
a. $2850
b. $6720
Step-by-step explanation:
a.
3000(1-0.05) = $2850
b.
7000(1-0.04) = $6720
Solve for the remaining angle and sides of the triangle described below. Round to the nearest hundredth:
C=100°
B=60°
, c=3
A = 20
Use sine rule to find the other angles,
Solve the system of equations.
x + y = 8
y=x²- 4
The solution for the given system of equations is (3,5) and (-4,12).
Given two systems of equations i.e. x+y=8 and y=[tex]x^{2}[/tex]-4 and asked to solve them.
⇒x+y=8; let's assume this equation as A
⇒ y=[tex]x^{2}[/tex]-4; let's assume this equation as B
From equation A
⇒y=8-x
From equation B
⇒y=[tex]x^{2}[/tex]-4
Equating both the values of y
⇒8-x=[tex]x^{2}[/tex]-4
⇒[tex]x^{2}[/tex]-8-4+x=0
⇒[tex]x^{2}[/tex]-12+x=0
{solving quadratic equation}
⇒[tex]x^{2}[/tex]-12+4x-3x=0 { factorizing the quadratic equation}
⇒[tex]x^{2}[/tex]+4x-3x-12=0
⇒x(x+4)-3(x+4)=0
⇒(x-3)(x+4)=0
Therefore, the value's of x=3,-4
⇒if x=3
From equation A
⇒y=8-3=5
For x=3 ; y=5
⇒if x=-4
From equation A
⇒y=8-(-4)=12
For x=-4 ; y=12
Therefore,The solution for the given system of equations is (3,5) and (-4,12).
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24. Knowing a Person Who Was Murdered In a sample of 11,771 children
ages 2 to 17, 8% have lost a friend or relative to murder. Four children are
selected at random. (Adapted from University of New Hampshire)
(a) Find the probability that all four have lost a friend or relative to murder.
(b) Find the probability that none of the four has lost a friend or relative to
(c) Find the probability that at least one of the four has lost a friend or
relative to murder.
Using the binomial distribution, the probabilities are given as follows:
a) 0.000041 = 0.0041%.
b) 0.7164 = 71.64%.
c) 0.2836 = 28.36%.
For each person, there are only two possible outcomes, either they have lost a friend, or they have not. The probability of a person having lost a friend is independent of any other person, hence the binomial distribution is used to solve this question.
What is the binomial distribution formula?The formula for the probability of x successes is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.For this problem, the values of the parameters are:
n = 4, p = 0.08.
The probability of all four is P(X = 4), hence:
P(X = 4) = (0.08)^4 = 0.000041.
0.000041 = 0.0041% probability that all four have lost a friend or relative to murder.
The probability of none is P(X = 0), hence:
P(X = 0) = (0.92)^4 = 0.7164.
0.7164 = 71.64% probability that none have lost a friend or relative to murder.
The probability of at least one is given by:
P(X >= 1) = 1 - P(X = 0)
Then:
1 - 0.7164 = 0.2836.
0.2836 = 28.36% probability that at least one have lost a friend or relative to murder.
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Find two numbers which differ by 4 and whose product is 45
Answer:
The two solutions are
5 and 9
-5 and -9
Step-by-step explanation:
Let x and y be the numbers
x-y = 4
x*y = 45
Using substitution
x = 4+y
(4+y)y =45
4y + y^2 = 45
Subtract 45 from each side
y^2 +4y -45 =0
Factor
(y - 5) ( y+9) = 0
Using the zero product property
y -5 =0 y+9 =0
y=5 y = -9
Now we can find x
y=5
x = 4+y
x =4+5
x=9
y = -9
x = 4+y
x = 4+-9
x = -5
The two solutions are
5 and 9
-5 and -9
help please question is in picture
Help please will mark brainliest
Answer:
B
Step-by-step explanation:
because it most reasonable
also you times the number as much as the exponents
Answer:
A. (5^8)/(5^9)
Step-by-step explanation:
Using the properties of exponents, in this case case the Power of Quotient Rule, can be changed into the one in A.
You're making dessert but your recipe needs adjustment your peanut butter cookie recipe makes three dozen cookies but you need two dozen if the recipe requires 3/4 cup of vegetable oil 2 teaspoons of vanilla extract and one and one half cups of peanut butter how much of each of these ingredients are necessary for two dozen cookies
Answer: 2/4 cups of oil and 1.4 teaspoons and 1 cup of peanut butter
Step-by-step explanation: 3/4 take one out of it to make 2/4 since there are 2 dozen then to have 3 groups of 2 teaspoons it would be 0.7 but its an inf number so its 0.7 and then 1 cup of peanut butter because we are taking half of it away since you want 2 dozen.
Kon'nichiwa, everyone! just to make sure you are correct if you answer this question make sure you have a explaination, and a good one with that.
ex; you took the test and have proof you took it.
ex; explaining how you got your answer
also if you happen to need this "⎯⎯" you can just copy paste that and put it in the answer
that's all, thanks for reading this :D
Answer:
Hey there i see that you are doing scientific notation things well i will help you
Step-by-step explanation:
so 5.2 X 10 to the 5th power = 520000
3.9 X 10 to the 8th power = 390000000
and 4.7 X 10 to the 5th power = 470000
so on that info the answer is
4.7 x 10(5), 5.2 x 10(5), 3.9 x 10(8)
hope you have a nice day
Answer and work is all shown in the provided screenshot! I hope this helps! :)
X-5>10;x=2 tell where the value is a solution of the inequality help please
Answer:
No, 2 is not a solution
Step-by-step explanation:
x - 5>10 Add 5 to both sides of the equations
x > 10 The solutions are all numbers greater than 10. Two is not greater than 10.
help me out
Simplify the
expression: 4^2 + 8 ÷2.
a. 12
b. 20
c. 8
d. 16
Complete the final two columns in the following frequency distribution table and then find the percentiles
and percentile ranks requested:
X f cf c%
5 2
4 5
3 6
2 4
1 3
we have found out the cumulative frequency (c f) and percentiles(c %) for the given data.
We are given the frequency distribution table as:
X f
5 2
4 5
3 6
2 4
1 3
We need to find cumulative frequency (c f) and percentiles(c %)
c % = 100 × ( c f / n )
c f means the frequency is calculated by adding each frequency from a frequency distribution table to the sum of its predecessors.
n = 20
X f c f c %
5 2 2 10 %
4 5 7 35 %
3 6 13 65 %
2 4 17 85 %
1 3 20 100 %
Therefore, we have found out the cumulative frequency (c f) and percentiles(c %) for the given data.
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Can someone help me with this please?
Answer:
1)
D) -5<x≤-2
R) 0<y≤3
2)
D) 1≤x≤5
R)2≤y≤4
Step-by-step explanation:
(Only in 7th so might be wrong)
1)
D) -5<x≤-2
R) 0<y≤3
2)
D) 1≤x≤5
R)2≤y≤4
look at the range of where the x and y is at (1-2 included = 1<x≤2)
Write a compound inequality that represents the following phrase. Graph the solutions. all real numbers that are between -3 and 7
The inequality to represent the given condition is -3<x<7 .
An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. [1] It is frequently used to compare two numbers on the number line based on their sizes. Different types of inequalities are represented by a variety of notations, including:
The notation x < y means that x is less than y.The notation c > d means that c is greater than d.The notation a ≤ b means that a is less than or equal to b. The notation p ≥ q means that p is greater than or equal to q .The given statement gives the solutions of all real numbers between 3 and 7.
Therefore if we consider a real number x then, x>-3 and x<7 .
Combining together for a compound inequality: -3<x<7.
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Evaluate Log2 11 x Log6 2
The logarithmic expression is equal to:
Log₂(11)*log₆(2) = 1.34
How to evaluate the logarithmic expression?
Here we have the logarithmic expression:
Log₂(11)*log₆(2)
Now, remember that we can rewrite:
Logₐ(b) = Ln(b)/Ln(a)
Using that we can rewrite the expression:
Log₂(11)*log₆(2) = (Ln(11)/Ln(2))*(Ln(2)/Ln(6)) = Ln(11)/Ln(6)
Now using a calculator you can find these two natural logarithms:
Ln(11)/Ln(6) = 1.34
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Determine whether the given ordered pair is a solution of
the system of equations.
(8, 7); -x+y= - 1
6x + y = 41
Answer:THE ANSWER IS NO.
Step-by-step explanation:
As we have given that x=8 and y=7
put theses values in given equations :-
-x + y= -1
-8+7= -1,true
But, for 6x+y=41
We get 6*8+7=41
55 ≠41
Hence the answer is NO.
Answer:
Step-by-step explanation: if the ordered pair (8,7) is a solution of a system of equations; the values x=8, y=7 substituted in the system must make both equations true. -8+7=-1 -1=-1 √ 6×8+7=41 48+7=41 55=41(8,7) is not a solution of the systems.
Austin buys cookies and oranges at the store.
He pays a total of $34.18.
He pays a total of $6.86 for the cookies.
He buys 4 bags of oranges that each cost the same amount.
How much does each bag of oranges cos
Answer:...
Step-by-step explanation:
Answer:
Step-by-step explanation:
444
The mean diameter of holes produced by a drilling machine bit is 4.05 mm and the stan dard deviation of the diameters is 0.0028 mm For twenty holes drilled using this machine, determine, correct to the nearest whole num ber, how many are likely to have diame ters of between (a) 4.048 and 4.0553 mm and (b) 4.052 and 4.056 mm, assuming the diameters are normally distributed.
The total number of holes will be (a)15 and (b) 4 when the drilling machine is used whose standard deviation is 0.0028mm.
The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.
The sum of all values divided by the total number of values constitutes a dataset's mean.
The mean of the holes are given as 4.05 mm([tex]\mu=4.08[/tex])
The standard deviation is given as 0.0028 mm([tex]\rho=0.0028[/tex])
Now we will use the z-score and probability distribution to calculate the frequency of the holes to have diameter between 4.048 and 4.0553.
Here [tex]Pr(4.048\leq X\leq 4.0053)[/tex] ,so we need to compute the z-values
[tex]Z_1=\frac{X_1-\mu}{\rho} \\Z_1=\frac{4.048-4.05}{0.0028} \\Z_1=-0.7143[/tex]
Similarly:
[tex]Z_2=1.8929[/tex]
Therefore from the above statements we can say that
[tex]Pr(-0.7143\leq X\leq 1.8929)[/tex]
Solving for probability distribution we get
[tex]Pr(4.048\leq X\leq 4.0053)=0.7333[/tex]
Total number of holes=0.7333 × 20= 14.666..
Therefore the number of holes is 15
Similarly
The z-value corresponding to 4.052 mm is given by 0.71
The z-value corresponding to 4.056 mm is given by:2.14
The probability of the diameter being between 4.052 mm and 4.056 mm is 0.4838 – 0.2611 =0.2227
The number likely to have a diameter between 4.052 mm and 4.056 mm = 0.2227 × 20
= 4.454
= 4, correct to nearest whole number
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please help me with this math homework
Answer:
Step-by-step explanation:
(2*9/5d*9)-(1*5/9d*5)
18/45d-5/45d
13/45d
whst will be the multiplicative inverse of
3/5 - 4/27 + 5/18
Answer:


Find the multiplicative inverse of the following
(i) -13 (ii) -13/19 (iii) 1/5 (iv) -5/8 × -3/7 (v) -1 × -2/5
(vi) -1
Solution:
The reciprocal of a given rational number is known as its multiplicative inverse. The product of a rational number and its multiplicative inverse is 1.
(i) The Multiplicative inverse of -13 is -1/13
∵ -13 × (-1/13) = 1
(ii) The Multiplicative inverse of -13/19 is -19/13
∵ -13/19 × (-19/13) = 1
(iii) The Multiplicative inverse of 1/5 is 5
∵ 1/5 × 5 = 1
(iv) The Multiplicative inverse of -5/8 × -3/7 is 56/15
∵ -5/8 × (-3/7) = 15/56 and 15/56 × 56/15 = 1
(v) The Multiplicative inverse of -1 × -2/5 is 5/2
∵ -1 × (-2/5) = 2/5 and 2/5 × 5/2 = 1
(vi) The Multiplicative inverse of -1 is -1
∵ -1 × (-1) = 1
Points P(-6,10), Q(0,6), and R are collinear. One of the points is the midpoint of the segment formed by the other two points. a. What are the possible coordinates of R? b. RQ=√208. Does this information affect the answer to part a? a. The possible coordinates of R are (, ) (Type an ordered pair. Use a comma to separate answers as needed.)
Answer:
a. (-12, 14), (6, 2), (-3, 8)
b. yes; R(-12, 14)
Step-by-step explanation:
Points P(-6, 10), Q(0, -6), and R lie on a line, with one of them being the midpoint of the other two. You want to know the possible locations of R, and its location if RQ=√208.
SetupPoint M is the midpoint of AB when ...
M = (A +B)/2
If M and A are given, then B is ...
2M -A = B . . . . . . above equation solved for B
a. Possible locations of RThere are three choices for the location of R.
P is the midpoint
R = 2P -Q = 2(-6, 10) -(0, 6) = (-12, 20-6)
R = (-12, 14)
Q is the midpoint
R = 2Q -P = 2(0, 6) -(-6, 10) = (6, 12 -10)
R = (6, 2)
R is the midpoint
R = (P +Q)/2 = ((-6, 10) +(0, 6))/2 = (-6, 16)/2
R = (-3, 8)
The possible coordinates of R are (-12, 14), (6, 2), (-3, 8).
b. R for RQ=√208The length of the given segment PQ is ...
d = √((x2 -x1)² +(y2 -y1)²) . . . . . distance formula
d = √((0 -(-6))² +(6 -10)²) = √(6² +(-4)²) = √(36 +16) = √52
This is half the length of RQ, so we must have P as the midpoint of RQ.
This distance information chooses one of the three points found in part (a), R(-12, 14).
A square rug lies in the middle of a rectangular room. There are 6 feet of uncovered floor on 2 sides of the rug and 2 feet of uncovered floor on the other 2 sides. Find a polynomial expression for the area of the rootn in terms of ×, the side length of the rug.
The polynomial expression for the area of the room is f(x) = x^2 + 16x + 48.
Here, we are given that the side of the length of the rug = x
Now, the square rug is placed on the rectangular room such that on 2 sides the uncovered floor is 6 meters.
This means that the length of the 2 opposite sides of the rectangle will be (x + 6 + 6) = (x + 12)
Similarly, there is 2 feet of uncovered floor on the other 2 sides, which means that the length of other two opposite sides is- (x + 2 + 2) = (x + 4)
Kindly refer to the diagram below for a better clarity of how we found out the sides.
Now, the area of a rectangle = Length × Breadth
Thus, area of the room = (x + 12) (x + 4)
= x^2 + 4x + 12x + 48
= x^2 + 16x + 48
Thus, the polynomial expression for the area of the room is f(x) = x^2 + 16x + 48
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