The number of vegetable plates can be made = 120
We know that a combination is nothing but a way of selecting items from a collection. In combination the order of selection does not matter.
We know that a formula for a combination is,
^nC_r = n! / r!(n - r)!
where, ^nC_r = number of combinations
n = total number of items in the collection
r = number of choosing items from the collection
and n! = n × (n - 1) × (n - 2) × . . . × 1
Here, we have n = 10 and r = 3
Using combination formula, the total number of plates made:
^10_C_3
= 10! / (3! × (10 - 3)!)
= 10! / (3! × 7!)
= (10 × 9 × 8 × 7!) /( 3! ×7!)
= (10 × 9 × 8) / (3 × 2 × 1)
= (90 × 8) / 6
= 720/6
= 120
Therefore, 120 vegetable plates maybe made
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Find the distance AB rounded to the nearest tenth Need help?
find the simple interest of 600 Naira for 1 whole number 1 over 2 years at 3 whole 1 over 6 % per annum
Answer:
₦28.5
Step-by-step explanation:
[tex]interest = \frac{600 \times 1.5 \times 3 \frac{1}{6} }{100} [/tex]
guys please help i’m blanking!!!
Select all the functions whose graphs include the point (16,4)
-2n = -1 1/4
................................
Answer:
n = 5/8
Step-by-step explanation:
-2n = -1 1/4
-1 1/4 = -5/4
So, our equation is
-2n = -5/4
Divided both sides by -2
n = 5/8
So, the answer is
n = 5/8
y A storage trunk is 28 inches wide by 18 inches deep by 22 inches high. What is the volume of the trunk? TIME SENSITIVE
Answer: Answer
Step-by-step explanation: type 3f3FcEi in bitly
delete the space for it to work
solve 2+n=0(mod6)
solve2+(3+n)=1 (mod6)
Solving the modular arithmetic will result to
2 + n = 0 (mod 6): n = -22 + (3 + n) = 1 (mod 6): n = -4What is modular arithmetic?The term modular arithmetic is the arithmetic that works with whole numbers in a such that, following division by a modulus, all numbers are replaced by their remainders.
Solving the modular arithmetic: 2 + n = 0 (mod 6)
2 + n = 0 (mod 6)
n = -2
Solving the modular arithmetic: 2 + (3 + n) = 1 (mod 6):
2 + (3 + n) = 1 (mod 6)
5 + n = 1 (mod 6)
n = 1 - 5
n = -4
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a flight from Durban to cape town takes 1 hour if an aeroplane flies at 800km/h. at what speed will it fly if the same flight takes 2 hours
Answer:
400km/
Step-by-step explanation:
the faster you go the less time it takes.
Which of the following is not a strategy for finding P-values with the Student t distribution? Choose the correct answer below. O Use a TI-83/84 Plus calculator to find the P-value rounded to at least 4 decimal places. O Use the table in the book with the appropriate number of degrees of freedom to find a range of values containing the P-value. O Use software such as Minitab, Excel, or STATDISK to find the P-value rounded to at least 4 decimal places. O Use the table in the book to find the P-value rounded to at least 4 decimal places
Use the table in the book to find the P-value rounded to at least 4 decimal places.
It is not possible to find the exact P-value rounded to at least 4 decimal places by using tables, as the P-value is a continuous variable and tables only give a range of values containing the P-value.
The probability that you would have discovered a specific collection of observations if the null hypothesis were true is expressed as a number called the p value, which is determined from a statistical test.
In order to determine whether to reject the null hypothesis, P values are utilised in hypothesis testing. You are more inclined to reject the null hypothesis the smaller the p value.
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Please help if you want brianleist!! :) uhm don't mind update- NO LINkS child..
Ty!
Answer: 5 or c
Step-by-step explanation:
Fatuma recently hired a roofer to do some necessary work. On the final bill, Fatuma was charged a total of $1449. $315 was listed for parts and the rest for labor. If the hourly rate for labor was $63, how many hours of labor was needed to complete the job?
(A) First write an equation you can use to answer this question. Use x as your variable and express any percents in decimal form in the equation.
The equation is
(B) Solve your equation in part (A) to find the number of labor hours needed to do the job.
Answer: The number of labor hours was
(A) The equation is:
$63[tex]x[/tex] = $1449 - $315
(B) The labor hours needed to complete the job was 18 hours.
STEPS TO FIND TIME OF THE COMPLETE JOBS(A) To find the number of labor hours needed to complete the job, we can set up an equation using the information given in the problem.
We know that the total bill was $1449, and $315 of that was for parts. So the remaining amount, $1449 - $315 = $1134, was for labor.We also know that the hourly rate for labor was $63. To find the number of hours needed for labor, we can divide the amount for labor by the hourly rate:$63[tex]x[/tex] = $1449 - $315
[tex]x[/tex] = ($1134 / $63)
Solving this equation gives us the number of hours needed for labor, which is 18 hours. We can check this by multiplying 18 hours by the hourly rate, which should give us the same amount for labor:[tex]x[/tex] = ($1134 / $63)
= 18 hours
Double check for:18 hours × $63 = $1134
This confirms that 18 hours is the correct number of labor hours needed to complete the job.
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Please help!! Will give brainiest!1 Im so confused
Answer:
i dont know
Step-by-step explanation:
Express the ratio of 300 miles to 25 gallons of gasoline as a unit rate. Simplify your answer. Show your work
Answer:
1 gallon to 12 miles
Step-by-step explanation:
Distance = 300 miles
Gasoline used = 25 gallons
Expressing as a unit rate :
Distance covered per gallon of gasoline :
Distance / gasoline used
300 / 25
12 miles
Hence, the unit rate is :
1 gallon of gasoline = 12 miles
1 gallon of gasoline will cover 12 miles in distance.
How do you solve systems by substitution step by step?
Answer:
1.Solve one of the equations for either variable.
2.Substitute the expression from Step 1 into the other equation.
3.Solve the resulting equation.
4.Substitute the solution in Step 3 into one of the original equations to find the other variable.
5.Write the solution as an ordered pair.
6.Check that the ordered pair is a solution to both original equations.
Step-by-step explanation:
Which factor or factors listed below are external influences on a loan’s interest rate? I. the borrower’s credit history II. the length of the loan III. the federal funds rate a. I and II b. I and III c. II and III d. III only Please select the best answer from the choices provided A B C
Answer:C
Step-by-step explanation:
Answer:
D. III only
Step-by-step explanation:
What is the additive identity for rational numbers?
Answer:
0Step-by-step explanation:
The rational number 0 is the additive identity for rational numbers.
As,
If we add any rational number to zero we get that number itself.
E.g.
[tex]0 + \frac{1}{2} = \frac{1}{2} [/tex]
and
[tex]0 + ( - \frac{5}{6} ) = ( - \frac{5}{6} )[/tex]
Answer:
questions:What is the additive identity for rational numbers?ans:0
What is the coefficient of XY in the expression *?
The numerical coefficient of xy in the given expression -7xy is -7.
The numerical coefficient of an expression is a number that is multiplied by a variable or a product of variables. The coefficient is the number that appears in front of a variable or a product of variables. In the case of a constant term, the coefficient is the constant itself.
For example, in the expression 3[tex]x^2[/tex] + 4x - 5, the numerical coefficient of [tex]x^2[/tex] is 3, the numerical coefficient of x is 4, and the numerical coefficient of the constant term -5 is -5.
Here, in the expression -7xy, the numerical coefficient of xy is -7.
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The complete question is -
What is the coefficient of XY in the expression - 7xyz?
ANYONE KNOWS THAT ANSWER FOR THIS PLEAS EHELP ME ASAP
Answer:
triangular prism
Step-by-step explanation:
Shape 1 attached is a triangular prism it has the same name and same net but is not identical as its slightly longer. The top side has 5 edges and its base has 4 edges
Has the same Faces: 5
Has the same Edges: 9
Has the same Vertices: 6
Shape 2 attached, is called a square based pyramid
It differs as its top side has 4 edges and its base has 4 edges where the base is the only common side and slope as the other one.
Faces: 5
Edges: 8
Vertices: 5
What is the distance between-7 and 3
Answer:
10
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
to help you with this just draw a number line.
-7 -6 -5 -4 -3 -2 -1 0 1 2 3
PLEASE HELP! GIVING BRAINLIEST!
Answer:
The answer is A
Step-by-step explanation:
I'll give brainliest PLZZZ!
Solve the following problem using the elimination method:
-3x + 7y = 12
x - 2y = -3
Answer:
(3, 3)
Step-by-step explanation:
do you need to show your work or just the answer?
-3x+7y=12 mulitply both sides by 3 of the bottom.
x-2y=-3
-3x+7y=12
3x-6y=-9 < which turns into this
Then you have to sum the equations (vertically) to eliminate one variable.
y=3
Then substitute the given value of "y" into the equation
x-2 * 3=-3 then solve the equation for x (x=3)
y=3 x=3 (3, 3)
*Check your answers.
-3*3+7*3=12
3-2*3=-3
12=12
-3=-3
(-3, -3)
The data below represents the number of desks on each floor of Texter Corporate.
\qquad54,60,65,66,67,69,70,72,73,75,7654,60,65,66,67,69,70,72,73,75,7654, comma, 60, comma, 65, comma, 66, comma, 67, comma, 69, comma, 70, comma, 72, comma, 73, comma, 75, comma, 76
Which box plot correctly summarizes the data?
A box plot that correctly summarizes the set of data is: box plot C.
What is a box-and-whisker plot?In Mathematics, a box plot sometimes also referred to as box-and-whisker plot and it can be defined as a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.
Based on the information provided above, the five-number summary for the given data set include the following:
Minimum = 54First quartile = 65.Median = 69.Third quartile = 73.Maximum = 76.In conclusion, we can logically deduce that the median of the given data set is 69 while the first quartile is 65 and the third quartile is equal to 73.
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when x equal 8 to the x^6-64x^4+x^2-7x-51
The expression (x - 8) is not the factor of the polynomial x⁶ - 64x⁴ + x² - 7x - 51.
What is factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The polynomial is given below.
⇒ x⁶ - 64x⁴ + x² - 7x - 51
If the value of the polynomial is zero at x = 8. Then (x - 8) will be the factor of the polynomial.
At x = 8, the value of the polynomial is given as,
⇒ (8)⁶ - 64(8)⁴ + (8)² - 7(8) - 51
⇒ 262,144 - 262,141 + 64 - 56 - 51
⇒ - 43
The expression (x - 8) is not the factor of the polynomial x⁶ - 64x⁴ + x² - 7x - 51.
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what is the estimated value of 102.3x4.7
The estimated value of the multiplication is equivalent to 480.81.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the expression as -
102.3 x 4.7
480.81
Therefore, the estimated value of the multiplication is equivalent to 480.81.
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Multiply:4x^3sqrt4x^2(2^3sqrt32x^2-x^3sqrt2x)
8x^5\left(32\sqrt{2}x^2-\sqrt{2}x^4\right)
A survey of a group of seventh graders and a group of teachers at a local middle school asked how many siblings they each have. The dot plots below show the results.
Answer:
where is the other dot plot
Answer:
B, D, and E
Step-by-step explanation:
I NEED HELP!!
1ST QUESTION
a). 5 divided by 3/10
b.) 5 divided by 9/10
Answer:
a) 5 divided by 3/10
To solve this problem, we need to perform the division first, followed by the division. Dividing 5 by 3/10, we have:
5 / (3/10) = (5*10)/3 = 50/3
Simplifying, we have:
50/3 = 16 2/3
Therefore, the result of 5 divided by 3/10 is 16 2/3.
b) 5 divided by 9/10
To solve this problem, we need to perform the division first, followed by the division. Dividing 5 by 9/10, we have:
5 / (9/10) = (5*10)/9 = 50/9
Simplifying, we have:
50/9 = 5 5/9
Therefore, the result of 5 divided by 9/10 is 5 5/9.
Step-by-step explanation:
Answer:
a).5 divided by 3/10
= 16.6666666667
And,
b).5 divided by 9/10
=4.5
Mr. Hasson has a coupon that says 25% off. He buys a pair of biking shorts that originally costs $34. He calculates 25% of 34 and determines he needs to pay $8.50 for the shorts
Explain
What is the error?
Why do you think he made that error?
What is the correct way to find the sale price?
Show that (2,1) is a solution of the system of equations.
I need help finding the angles for 1, 3, and 6 also thank you!♡
Answer:
Step-by-step explanation:
angle 1 = 180- angle 3 (linear pair)
angle 3= angle 6 (alternate interior angles)
Joanie bought a total of 56 presents to put in 7 gift bags.She put 3 pencils and an equal number of stickers in each bag.How many stickers did she put in each bag
Answer:
5 stickers were put in each bag.
Step-by-step explanation:
There is a total of 56 presents and 7 gift bags. If she puts three pencils in each bag, 7 times 3 is 21. 56 presents minus 21 pencils is 35 presents left. 35 divided by 7 is 5, so there are 5 stickers in each bag.