540 and 5760 sandwiches can the sandwich shop create
10 fillings, 9 bread, 6 condiments
= 10 possibilities × 9 possibilities × 6 possibilities
=540
10 fillings, 9 bread, 6 condiments
= 10 possibilities × 9 possibilities × 64 possibilities
=5760
sandwich can have any no.of condiments,
let say A,B,C are condiment then possibilities are
A,B,C,AB,BC,AC,ABC , no condiment
i.e, [tex]2^{6}[/tex] = 64 possibilities.
What do you mean by possibilities?A likelihood that something will or won't occur or exist: the condition or reality of being possible There is a chance of rain today. A potential event or object that might exist It's possible that life exists on other worlds. More about potential from Merriam-Webster.
An example of a probability that you will attend a party is if there is a 50/50 chance that you might do so. The green dress is an example of a potential option you may select from when given the choice between wearing a red dress or a green dress.
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is it possible to have a function f defined on [ 5 , 6 ] and meets the given conditions? f is continuous on [ 5 , 6 ], takes on the values − 5 and 5 but does not take on the value 0.
No.
The intermediate value theorem (IVT) says that if [tex]f(x)[/tex] is continuous on [tex][a,b][/tex], and if [tex]d[/tex] is a number between
[tex]\min\{f(a),f(b)\} \le d \le \max\{f(a),f(b)\}[/tex]
then there is some [tex]c\in(a,b)[/tex] such that [tex]f(c) = d[/tex].
In this case we have for all [tex]x\in[5,6][/tex],
[tex]-5 \le f(x) \le 5[/tex]
0 falls in this range, so by continuity of [tex]f[/tex] and the IVT, there must be some number [tex]x\in(5,6)[/tex] such that [tex]f(x) = 0[/tex].
-15-3w = 4w-2w
H is it a infinite solution or no solution
The solution is an infinite solution.
What is an infinite solution?An infinite solution can be defined as a solution with both sides equal to each other
Given the expression;
-15 - 3w = 4w - 2w
Let's simply the expression
Collect like terms
- 3w - 4w + 2w = 15
Add or subtract like terms
-5w = 15
Make 'w' the subject
w = 15/ -5
w = -3
Thus, the solution is an infinite solution.
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A solid cylinder has a volume of 454 cm³.
The cylinder has a height of 10 cm.
A similar cylinder has a height of 30 cm.
What is the volume of the larger cylinder?
30 10×3=30 that how you get it
What is the greatest common factor of the terms in the expression
3x2y3-48y2+18x³y5?Q
The greatest and the only common factor in the given expression 3x²y³-48y²+18x³y⁵ is 3.
What do we mean by expressions?An expression or mathematical expression is a finite combination of symbols that is well-formed according to context-dependent rules. In mathematics, an expression is a sentence that contains at least two numbers or variables and at least one math operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is an expression.So, 3x²y³-48y²+18x³y⁵:
If we look closely consonants 3, -48, and 18 are divisible by 3.So, we can also write the expression as:
3(x²y³-16y²+6x³y⁵)Therefore, the greatest and the only common factor in the given expression is 3.
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Please help! (Also show work)
Tutorials :D
The five-number summary is:
Minimum: 9
First Quartile: 16.5
Median: 25.5
Third Quartile: 39
Maximum: 51
3. Range = 42
4. Interquartile range = 22.5
How to Find the Five-number Summary of a Data?Given the data for the lengths as, 36, 15, 9, 22, 36, 14, 42, 45, 51, 29, 18, 20, to find the five-number summary of the data set, we would follow the steps below:
1. The numbers in ordered from the smallest to the largest would be:
9, 14, 15, 18, 20, 22, 29, 36, 36, 42, 45, 51
2. The five-number summary for the lengths in minutes would be:
Minimum value: this is the smallest lengths, which is 9First Quartile (Q1): this is the middle of the first half of the data set of the lengths in minutes, which is 16.5.Median: the median is the center of the data distribution which is 25.5.Third Quartile: this is the middle of the second half of the data set of the lengths in minutes, which is 39.Maximum: this is the largest length in minutes, which is, 51.3. Range of the data = max - min = 51 - 9 = 42
4. The interquartile range for the data set = Q3 - Q1 = 39 - 16.5
Interquartile range for the data set = 22.5
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What’s is the answer
Answer:
C
Step-by-step explanation:
Taking a square root of a number that doesn't have a square root like [tex]\sqrt{17}[/tex] will result in an infinite number of random digits which is an irrational number. Hence, C is the answer.
D isn't the answer because even though [tex]\sqrt{5}[/tex] is irrational, you're adding [tex]\sqrt{5}[/tex] and then subtracting [tex]\sqrt{5}[/tex] from the total sum. Hence the total sum would be 5+14.
5+[tex]\sqrt{5}[/tex]+14-[tex]\sqrt{5}[/tex] =5+14+[tex]\sqrt{5}[/tex]-[tex]\sqrt{5}[/tex]= 5+14 ==> 19 is a rational number
Find the perimeter of ∠A B C to the nearest hundredth, given the coordinates of its vertices. A(-3,2), B(2,-9), C(0,-10)
The perimeter of the triangle ABC is approximately equal to 35.633 units.
How to determine the perimeter of a triangle
In this problem we find the locations of the three vertices of the triangle and from which we have to calculate the length of each of the three sides. The perimeter is the sum of the three lengths. First, determine the vectors of each side:
AB = (2, - 9) - (- 3, 2)
AB = (5, - 11)
BC = (0, - 10) - (2, - 9)
BC = (- 2, - 1)
AC = (0, - 10) - (- 3, 2)
AC = (3, - 12)
Second, calculate the magnitudes of the three sides:
AB = √[5² + (- 11)²]
AB = √146
BC = √[(- 2)² + (- 11)²]
BC = 5√5
AC = √[3² + (- 12)²]
AC = 3√17
Third, add the three lengths to find the perimeter:
p = √146 + 5√5 + 3√17
p ≈ 35.633
Remark
The statement reports a typing mistake that it would take a triangle for an angle, which is absurd since angles only have one vertex. Correct statement is shown below:
Find the perimeter of Δ ABC to the nearest hundred, given the coordinates of its vertices A(x, y) = (- 3, 2), B(x, y) = (2, - 9) and C(x, y) = (0, - 10).
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Suppose that the height of the slide is 2 feet,
when x = 20. What is the average rate of change
over the entire slide?
(answer is -3.9 on edge 2022 but all the other top brainly answers were incorrect)
The average rate of change over the entire slide if the height of the slide is 2 feet is; -3.9
What is the average rate of change?
Average rate of change is defined as a measure of how much the function changed per unit, on average, over that interval.
First, we will calculate the average rate from x = 0 to x = 15:
We have:
R = ((80 - 10)/(0 - 15))
R = -4.667
Let us now calculate average rate of change for the entire interval supposing that the height of the slide is 2 feet,:
From x = 0 to x = 20, we have;
R = ((80 - 2)/(0 - 20))
R = -3.9
Thus, we can conclude that the average rate of change over the entire slide is; -3.9
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Answer:
slower than & -3.9
Step-by-step explanation:
Triangle FUN has vertices with coordinates F(-6, 4), U(2, 2), and N(-2, -8). Dilate using the Scale factor of 2. What are the coordinates of the dilated image F’U’N’?
explain
Answer:
F ' (-12, 8)
U ' (4, 4)
N ' (-4, -16)
===================================================
Explanation:
I'm assuming the center of dilation is the origin.
Multiply each coordinate by the scale factor 2.
For point F, the x coordinate goes from -6 to 2*(-6) = -12. The y coordinate goes from 4 to 2*4 = 8
So F(-6,4) moves to F ' (-12, 8)
Use this idea for the other points.
If the center of dilation wasn't the origin, then we can't use this shortcut (not until translating the center to the origin).
Find the weighted average of the points in the line
The weighted average of the points in the line is 7.5
How to find the weighted average of the points in the line?The points are given as
3 and 12
The weighted average of the points in the line is calculated as
Weighted average = Sum/Count
So, we have:
Weighted average = (3 + 12)/2
Evaluate
Weighted average = 7.5
Hence, the weighted average of the points in the line is 7.5
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PLEASEEEE HELP
Select the correct answer from the drop-down menu.
Simplify the expression.
Answer:
2(x^9)(y^2)
Step-by-step explanation:
I just did quick math on this one, but you combine like terms on the top then divide by the bottom terms...
The area of a rhombus is 400msq.If its height is 20m, what is its base
By using area formula, we get base is [tex]20 m[/tex]
What do you mean by area?
Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. For instance, On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.
Given that:
Area of a rhombus is [tex]400 m^{2}[/tex]
Height of a rhombus is [tex]20 m[/tex]
We know that,
Area of rhombus = base × height
Substituting area and height in above formula
[tex]400[/tex] = base × [tex]20[/tex]
∴ Base = [tex]\frac{400}{20}[/tex]
=[tex]20[/tex]
Therefore, by using area formula, we get base of a rhombus is [tex]20 m[/tex]
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The farmer’s market opens for 2 ⅕ hours in the morning and 3 ⅔ hours in the afternoon. How long is the farmer’s market open in a day?
find the equation of the line passing through the point (-6,4)(−6,4) that is perpendicular to the line 5x 3y
The required equation of line is: [tex](y - 4)= \frac{3}{5}(x+6)[/tex]
What is the equation of a line to the curve?A line's equation has the standard form ax + by + c = 0. Here, the variables are x and y, the coefficients are a and b, and the constant term is c. It is a first-order equation with the variables x and y. The coordinates of the point on the line shown in the coordinate plane are represented by the values of x and y.Given:
Equation of line: 5x + 3y = 5New line passes through the point (-6,4)New line perpendicular to given line.To find: Equation of new line
Finding:
Given equation of line: 3y = 5 - 5x=> y = [tex]\frac{5}{3} (1-x) = \frac{-5}{3}(x-1)[/tex]
On comparison with a standard equation of line: [tex](y-y_0) = m(x-x_0)[/tex], where, m = slope of the line[tex](x_0,y_0)[/tex] = coordinates of point through which the line passes.We get: m = -5/3 and [tex](x_0,y_0)[/tex] = (1,0) for the given line.
Now, since the given line is perpendicular to the new line,Slope of the new line = m' = [tex]\frac{-1}{m} = \frac{3}{5}[/tex]
Hence, On substituting the values for [tex](x_0,y_0)[/tex] and m', we get the equation of the new line as:
[tex](y - 4)= \frac{3}{5}(x+6)[/tex]
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Cual es la Respuesta de 5a+7a
Answer:
12a
Step-by-step explanation:
4 - 5/3x - 7 = 4 please help solve
Step-by-step explanation:
multiply through by the LCM=3x-7
4(3x-7)-5=4(3x-7)
12x-28-5=12x-28
The integer coefficient of x on both sides of the equation=+12 so there's no integer solution for the equation
Which of the following can be used to correctly solve the equation `-\frac{1}{3}x=18`?
Answer:
x = -54
Step-by-step explanation:
Let's solve your equation step-by-step.
[tex] \sf \: `-\frac{1}{3}x=18`[/tex]
Step 1: Multiply both sides by 3/(-1).
[tex] \sf( \frac{3}{ - 1} ) \times ( \frac{ - 1}{3} x) = ( \frac{3}{ - 1} ) \times (18)[/tex]
[tex] \sf \: x = - 54[/tex]
HELP ME PLEASE!!!!! I WILL NAME YOU BRAINLIEST
please solve question 2 part b :)
The equivalent of the given expression ( (4 1/2)x - 3 ) + ( -2 + (1 3/4)x ) is (6 1/4)x - 5.
What is the equivalent of the given expression?Given the expression in the question;
( (4 1/2)x - 3 ) + ( -2 + (1 3/4)x )
First, convert the mixed fractions into an improper fractions.
( (4 1/2)x - 3 ) + ( -2 + (1 3/4)x )
( (4×2 + 1/2)x - 3 ) + ( -2 + (1×4 + 3/4)x )
( (8 + 1/2)x - 3 ) + ( -2 + (4 + 3/4)x )
( (9/2)x - 3 ) + ( -2 + (7/4)x )
Now, remove the parenthesis and collect like terms
(9/2)x - 3 + -2 + (7/4)x
(9/2)x + (7/4)x - 3 - 2
9x/2 + 7x/4 - 5
Now, add the two fractions containing x
(9x × 4)+(7x × 2)/8 - 5
( 36x + 14x )/8 - 5
50x/8 - 5
(50/8)x - 5
(25/4)x - 5
Convert 25/4 into an improper fraction
(6 1/4)x - 5
Therefore, the equivalent of the given expression ( (4 1/2)x - 3 ) + ( -2 + (1 3/4)x ) is (6 1/4)x - 5.
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2 divded by $1.53 round to the nearest cent
Answer: $0.77
Step-by-step explanation:
1.53/2=
0.765=
0.765=$0.77
Mei spent $66 buying fabric that costs $7.50 per yard. how many yards of fabric did mei buy? how do you know that your answer is reasonable?
If Mei spent $66 buying fabric that costs $7.50 per yard, then she bought 8.8 yards of fabric
Given,
The total amount Mei spent = $66
Cost of fabric = $7.50 per yard
How many yards of fabric Mei bought= Total amount she spent / Cost of fabric
Substitute the values and divide it
How many yards of fabric Mei bought = [tex]\frac{66}{7.50}[/tex]
=8.8 yards
Hence, if Mei spent $66 buying fabric that costs $7.50 per yard, then she bought 8.8 yards of fabric
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Carrie collected canned food for a homeless shelter in her area each day for one week. On day one, she collected 7 cans of food. On day two, she collected 8 cans. On day three, she collected 10 cans. On day four, she collected 13 cans. If Carrie wanted to give at least 100 cans of food to the shelter and this pattern of can collecting continued, did she meet her goal?
The number of can collected by Carrie after one week if the pattern continued will be; 105 cans and hence, she met her goal.
How many cans were collected by Carrie and dis she meet her goal?It follows from the task content that Carrie's target for can collection was 100 units of can collected over 1 week.
Since, one week contains seven, 7 days, it follows that she has 7 days to meet her target.
Following from observation, she increased the number of cans collected each day following a pattern; 7, 8, 10, 13.... where the difference between two successive days increases by 1 each time.
Hence, the number of cans collected for the rest of the days are as follows;
Day 5 = 13 + 4 = 17Day 6 = 17 + 5 = 22Day 7 = 22 + 6 = 28Therefore, the total number of cans collected is; 7 + 8 + 10 +13 + 17 + 22 + 28 = 105 cans and hence, she meets her goal.
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Complete the sentence.
3mi ≈ ____ km
The complete sentence is 3 mi ≈ 4.827 km
How to complete the sentence?The open sentence is given as:
3mi ≈ ____ km
In the standard unit of conversion, we have
1 mi ≈ 1.609 km
Multiply both sides by 3
3 * 1 mi ≈ 1.609 km * 3
Evaluate the product
3 mi ≈ 4.827 km
Hence, the complete sentence is 3 mi ≈ 4.827 km
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1.5 x 10^9 and 1.1 x 10^8 as scientific notation
Answer:
4.875 × 105^5
Step-by-step explanation:
Two angles of a triangle have measures 45⁰ and 92⁰ . What type of triangle is it?
a. obtuse scalene
b. obtuse isosceles
c. acute scalene
d. acute isosceles
A triangle with two angles measuring 45⁰ and 92⁰ is an obtuse scalene triangle. The answer is A.
A triangle is a two-dimensional shape that has three sides and three angles. The sum of its interior angles is 180⁰.
If two angles of a triangle have measures 45⁰ and 92⁰, solving for the third angle
180⁰ = 45⁰ + 92⁰ + third angle
third angle = 43⁰
If a triangle has an angle greater than 90⁰, then it is an obtuse triangle.
If a triangle has angles less than 90⁰, then it is an acute triangle.
If a triangle has an angle equal to 90⁰, then it is a right triangle.
An isosceles triangle is a triangle with two congruent sides and congruent base angles (2 angles are equal).
An equilateral triangle is a triangle with all three sides equal and all three angles are of equal measures.
A scalene triangle is a triangle with no sides are equal and no angle are equal also.
Since our triangle has 3 unique angles: 43⁰, 45⁰, and 92⁰, with one angle greater than 90⁰, then it is an obtuse scalene triangle.
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Analysis of data reveals a correlation coefficient of r = 0.77. this is a ______ relationship.
Analysis of data that reveals a correlation coefficient of 0.77 shows a strong relationship between variables.
What is correlation?Correlation can be defined as any statistical relationship, whether causal or not, between two random variables or bivariate data. The type of correlation that we have include;
Positive correlationnegative correlationzero correlationA calculated number greater than 1.0 or less than -1.0 means that there was an error in the correlation measurement while a correlation that is between 0.6 and 0.9 are classified as a strong relationship.
Hence we can conclude that analysis of data that reveals a correlation coefficient of 0.77 shows a strong relationship between variables.
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PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
3m + 4 is the answer obtained after combining like terms
Why might two students have different calculated areas when measuring the same rectangle?
Because of differences in the given dimensions, two students have different calculated areas when measuring the same rectangle.
What is a rectangle?In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles.Because all of its angles are equal, it is also known as an equiangular quadrilateral or a parallelogram with a right angle.A square is a rectangle with four equal-length sides.So,
1st students measurement:
Length = 20.70, width = 10.442nd students measurement:
Length = 20.74, width = 10.46The formula of area:
Area = length × width1st students measurement:
Area = 20.70 × 10.44Area = 216.108 cm²2nd students measurement:
Area = 20.74 × 10.46Area = 216.940 cm²Therefore, because of differences in the given dimensions, two students have different calculated areas when measuring the same rectangle.
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The complete question is given below:
Calculating the area of a rectangle
Your measurements Another student's measurements
Length (cm) 20.70 20.74
Width (cm) 10.44 10.46
Area (cm2)
Required:
Why might two students have different calculated areas when measuring the same rectangle?
PLEASE
Solve for X
4(5x+6)=12
-3(2x-4)=18
26=2(3x-2)
Answer:
Below in bold.
Step-by-step explanation:
4(5x + 6) = 12
20x + 24 = 12
20x = -12
x = -12/20 = -3/5
-3(2x - 4) = 18
-6x + 12 = 18
-6x = 6
x = -1.
26 = 2(3x - 2)
26 = 6x -4
30 = 6x
x = 30/6 = 5.
92.1 divided by 0.03
Answer: 3070
Step-by-step explanation:
Questions 18-30 pls help due tomorrow
Answer:
Step-by-step explanation:
30
Step-by-step explanation:
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