Answer:
15 possible combinations
Step-by-step explanation:
Given
[tex]Vegetables = 6[/tex]
[tex]Selection = 2[/tex]
Required
Determine the possible number of combinations
The question emphasizes on "selection" which means "combination".
So; To answer this question, we apply the following combination formula:
[tex]^nC_r = \frac{n!}{(n-r)r!}[/tex]
In this case:
[tex]n = 6[/tex]
[tex]r = 2[/tex]
The formula becomes:
[tex]^6C_2 = \frac{6!}{(6-2)!2!}[/tex]
[tex]^6C_2 = \frac{6!}{4!2!}[/tex]
[tex]^6C_2 = \frac{6*5*4!}{4!2*1}[/tex]
[tex]^6C_2 = \frac{6*5}{2}[/tex]
[tex]^6C_2 = \frac{30}{2}[/tex]
[tex]^6C_2 = 15[/tex]
Hence, there are 15 possible combinations
When expressing the reciprocal of $1.67$ as a simplified fraction, what number do you get if you subtract the numerator from the denominator?
Answer:
67
Step-by-step explanation:
Aops Question
The value if you subtract the numerator from the denominator will be -67.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that expressing the reciprocal of $1.67$ as a simplified fraction. The number when you subtract the numerator from the denominator will be calculated as below:-
Fraction form of the number 1.67 = 167 / 100.
The subtraction of numerator from denominator = 10 - 167 = -67
Therefore, the value of subtraction of the numerator from the denominator will be -67.
To know more about Expression follow
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#SPJ2
hjabsjsbsjdbdajxjkfndks
C.$47
Step-by-step explanation:
6% =0.06
0.06x50= 3
50-3= $47
What is an
equation of the line that passes through the points (-1,-4) and
(-2,-8)?
Answer:
y = 4x
Step-by-step explanation:
To start, we need to find the slope:
m = y₁ - y₂ / x₁ - x₂
Substitute the numbers and solve for the slope:
m = -4 - (-8) / -1 - (-2)
m = -4 + 8 / -1 + 2
m = 4 / 1
m = 4
Now we know that the slope is 4.
Next, we need to use point-slope form:
y - y₁ = m(x - x₁)
Once more, substitute the numbers:
y - (-4) = 4(x - (-1))
y + 4 = 4(x + 1)
y + 4 = 4x + 4
y = 4x
Therefore, the equation of the line is y = 4x.
The exponential function f(x) = 2x undergoes two transformations to
g(x) = 1/3• 2x – 7. How does the graph change? Select all that apply.
A. It is shifted right.
B. It is shifted down.
C. It is flipped over the x-axis.
D. It is vertically compressed.
E. It is vertically stretched.
Answer:
Shifting down.
Vertically compressed
Step-by-step explanation:
Given
[tex]f(x) = 2^x[/tex]
[tex]g(x) = \frac{1}{3}(2^x - 7)[/tex]
Required
Determine the translation from f(x) to g(x)
The first translation from f(x) towards g(x) is:
[tex]f(x) = 2^x[/tex]
[tex]f'(x) = 2^x - 7[/tex]
This is derived by:
[tex]f'(x) = f(x) - b[/tex]
Where
[tex]b = 7[/tex]
Notice that, in the above, b (i.e. 7) was subtracted from f(x), this implies that the function shifted down
The next translation that resulted in g(x) is:
[tex]g(x) = \frac{1}{3}(2^x - 7)[/tex]
This is derived by:
[tex]g(x) = a.f'(x)[/tex]
By comparison:
[tex]a = \frac{1}{3}[/tex]
Since the value of a is less than 1, then f'(x) is vertically compressed to give g(x).
Hence, the transformations that apply from f(x) to g(x) are:
Shifting down. Vertically compressedAnswer:
shifting down
vertically compressed
Step-by-step explanation:
geometry help please!!
Answer:
a. 75°
Step-by-step explanation:
[tex] m\angle A = m\angle C... (given) [/tex]
[tex] (2x+15)\degree = (3x - 15)\degree [/tex]
[tex] 2x+15 = 3x - 15 [/tex]
[tex] 2x - 3x=-15-15[/tex]
[tex] - x=-30[/tex]
[tex] x=30[/tex]
[tex]\because m\angle A = (2x+15)\degree [/tex]
[tex]\therefore m\angle A = (2\times 30+15)\degree [/tex]
[tex]\therefore m\angle A = (60+15)\degree [/tex]
[tex]\therefore m\angle A = 75\degree [/tex]
Please help me please
Answer:
56
8 pictures * 7 days = 56 pictures
Step-by-step explanation:
Help? ^-^ WILL GIVE BRAINLIEST!
What is the slope of a line through (1, 3) and (-2, 2)?
Answer:
The slope of the line is [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The Slope of a Line
Suppose we know a line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
It's given the points (1,3) and (-2,2). Let's calculate the slope:
[tex]\displaystyle m=\frac{2-3}{-2-1}[/tex]
Calculating:
[tex]\displaystyle m=\frac{-1}{-3}[/tex]
[tex]\displaystyle m=\frac{1}{3}[/tex]
The slope of the line is [tex]\frac{1}{3}[/tex]
In the triangle below, what is the length of BC ?
need help?!
Answer:
12
Step-by-step explanation:
just look at the other side since both are the same
HELP ASAP!!! What is the equation in slope-intercept form of a line that passes through the
point (6, 4) and has a slope of 1/2?
Answer:
y=1/2x+1
Step-by-step explanation:
.. a)
The marked price of an electric heater is Rs 1,500. If the shopkeeper allows 15 %
discount and makes a profit of Rs 175, at what price did he purchase the heater?
TL med price of a calculator is Rs 1 800. The shopkeeper allows 10 %
Answer:
1100
Step-by-step explanation:
price = 1500
discount= 15%
15% of 1500 = (15/100)*1500= 15*15= 225
so selling price = 1275
profit is selling price - cost price
1275 - CP = 175
CP = 1275-175= 1100
I didn't understand the calculator part of the question
John runs a computer software store. Yesterday he counted 137 people who walked by the store, 56 of whom came into the store. Of the 56, only 25 bought something in the store.
A) Estimate the probability that a person who walks by the store will enter the store.B) Estimate the probability that a person who walks into the store will buy something.C) Estimate the probability that a person who walks by the store will come in and buy something.D) Estimate the probability that a person who comes into the store will buy nothing.
Answer:
John's Computer Software Store
A) Probability that a person who walks by the store will enter the store:
= 41%
B) The probability that a person who walks into the store will buy something:
= 45%
C) The probability that a person who walks by the store will come in and buy something:
= 18%
D) The probability that a person who comes into the store will buy nothing:
= 55%
Step-by-step explanation:
a) Data and Calculations:
Number of people who walked by the store yesterday = 137
Number of those who came into the store = 56
Number of people who came into the store and bought something = 25
Number of people who came into the store and bought nothing = 31 (56 - 25)
A) Probability that a person who walks by the store will enter the store:
= 56/137
= 0.4087
= 0.41
= 41%
B) The probability that a person who walks into the store will buy something:
= 25/56
= 0.4464
= 0.45
= 45%
C) The probability that a person who walks by the store will come in and buy something:
= 56/137 * 25/56
= 0.41 * 0.45
= 0.1845
= 0.18
= 18%
D) The probability that a person who comes into the store will buy nothing:
= 31/56
= 0.5536
= 0.55
= 55%
Fran used a graphics program to reduce a
digital image. The original dimensions of the
image were 20 cm wide by 12 cm long. She
used a scale factor of 0.6. What are the
dimensions of the reduction?
Answer:
The reduced dimensions are:
Width = 12 cm
Length = 7.2 cm
Step-by-step explanation:
Original dimensions of Image:
Width = 20 cm
Length = 12 cm
Fran reduced the dimensions using a scale factor of 0.6
We need yo find dimensions of reduction.
We would multiply the original dimensions by 0.6 to find the new dimensions.
So, Width = 20 * 0.6 = 12
length = 12 * 0.6 = 7.2
So, the reduced dimensions are:
Width = 12 cm
Length = 7.2 cm
the slope of a line given by this table is:
Answer:
C. -5/2
Step-by-step explanation:
To find the slope you can use the slope formula:
[tex]slope = \frac{y2 - y1}{x2 - x1}[/tex]
We can pick 2 points from the table, I am going to use (3,5) and (1,10).
Plug these into the equation:
[tex]slope = \frac{10-5}{1-3} =- \frac{5}{2}[/tex]
Therefore, the answer to the question is C. -5/2.
I hope this helps!!
- Kay :)
33.7 rounded to the nearest ten
help please, will give brainliest!
A. the equation has two true solutions
B. the equation had one true solution
C. the equation has one extraneous solution
D. the equation has one true solution and one extraneous solution
Answer:
C. the equation has one extraneous solutionStep-by-step explanation:
Given equation:
x/(x - 1) + 2/(x + 2) = -6/(x² + x - 2)Common denominator is x² + x - 2, consider x ≠ 1 and x≠ -2
Multiply both sides by x² + x - 2:
x(x + 2) + 2(x - 1) = -6x² + 2x + 2x - 2 + 6 = 0x² + 4x + 4 = 0(x + 2)² = 0x + 2 = 0x = -2There is one solution but it is not true one.
Option C is correct
Answer:
[tex] \frac{x}{x - 1} + \frac{2}{x + 2} = \frac{ - 6}{ {x}^{2} + x - 2 } \\ \frac{x(x + 2) + 2(x - 1)}{(x - 1)(x + 2)} = \frac{ - 6}{ {x}^{2} + x - 2} \\ \frac{ {x}^{2} + 2x + 2x - 2 }{ {x}^{2} + 2x - x - 2} = \frac{ - 6}{ {x}^{2} + x - 2} \\ \frac{ {x}^{2} + 4x - 2 }{ {x}^{2} + x - 2} = \frac{ - 6}{ {x}^{2} + x - 2 } \\ {x}^{2} + 4x - 2 = - 6 \\ {x}^{2} + 4x + 4 = 0 \\ {x}^{2} + 2 \times 2 \times x + {2}^{2} = 0 \\ {(x + 2)}^{2} = 0 \\ x + 2 = 0 \\ \boxed{x = - 2 }[/tex]
x =-2 is the right answer.C. the equation has one extraneous solution.
Like terms need to have what
SoukaSoukaSoukaSoukaSoukaSoukaSoukaSoukaSoukaSouka
Answer:
The same letter lol
Step-by-step explanation:
In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power.
Find the orthocenter for the triangle described by each set of vertices.
K (3.-3), L (2,1), M (4,-3)
Plzz help ASAP!!!
I'll give brainliest if ur correct
Answer:
(2, - 3.5)
Step-by-step explanation:
K(3, - 3)
L(2, 1)
[tex]m_{KL}[/tex] = [tex]\frac{-3-1}{3-2}[/tex] = - 4
Slope of perpendicular line is [tex]\frac{1}{4}[/tex]
y - 1 = - 4(x - 2) ⇔ y = - 4x + 9
Equation of the perpendicular to KL from point M(4, - 3) is
y - (- 3) = [tex]\frac{1}{4}[/tex] (x - 4) ⇔ y = [tex]\frac{1}{4}[/tex] x - 4 ....... (1)
L(2, 1)
M(4, - 3)
[tex]m_{LM}[/tex] = [tex]\frac{-3-1}{4-2}[/tex] = - 2
Slope of perpendicular line is [tex]\frac{1}{2}[/tex]
y - 1 = - 2(x - 2) ⇔ y = - 2x + 5
Equation of the perpendicular to LM from point K(3, - 3) is
y + 3 = [tex]\frac{1}{2}[/tex] (x - 3) ⇔ y = [tex]\frac{1}{2}[/tex] x - 4.5 ....... (2)
The coordinates of the intersect of lines (1) and (2)
[tex]\frac{1}{2}[/tex] x - 4.5 = [tex]\frac{1}{4}[/tex] x - 4 ⇒ [tex]\frac{1}{4}[/tex] x = 0.5 ⇒ x = 2
y = [tex]\frac{1}{2}[/tex] (2) - 4.5 ⇒ y = - 3.5
(2, - 3.5)
please help asap no trolls!
Answer:
Yes
Using SAS congruent property
Step-by-step explanation:
10 x 1/2+(-6)(-3) simplified in steps
Answer:
23
Step-by-step explanation:
Remember PEMDAS/order of operations (Parentheses, exponent, multiplication, division, addition, subtraction)
10*1/2+(-6)(-3)
10*1/2+18
5+18
23
A game of football with 11 players lasts for exactly 90 minutes. There are four substitutes that alternate equally. If each player plays for the same length of time, what is the duration? (A) 22.5 mins (B) 18 mins (C) 66 mins (D) none of these
Answer: (A) 22.5 mins
Step-by-step explanation:
Given data:
Duration of the match = 90mins.
Number of substitutes = 4.
Solution:
Since Each of the four (4) substitute players alternated equally, simply means each of the 4 players spent an equal amount of time on the football pitch.
= 90mins/4
= 22.5mins.
Each player spent 22.5minutes on the football pitch.
The division of total time distribute the same time for each substitutes player.
The duration for which each substitute player plays the game of football is 22.5 minutes.
What is division of time?Division of total time by the units of division provides the equal time for each unit.
Given information-
A game of football with 11 players lasts for exactly 90 minutes.
Total number of substitutes is 4.
All the players plays for the same length of time.
As there is total number of substitute players are 4 and the total time duration is 4.
Thus for each player to play same length of time, the time should be divided by the number of players. Therefore,
[tex]t=\dfrac{90}{4} \\t=22.5[/tex]
Hence the duration for which each substitute player plays the game of football is 22.5 minutes.
Learn more about the division of time here;
https://brainly.com/question/668114
drag the dot (-5,-9),amd then select its location on the coordinate plane .
Answer:
The diagram is attached below which shows the location of the point (-5, -9)
Step-by-step explanation:
Given the point
(-5, -9)The location of the point (-5, -9) can be determined by locating the point at x=-5 and y = -9.
Please check the attached diagram where I located the point (-5, -9).
From the attached diagram, it is clear that:
Moving 5 units to the left from the origin (0, 0) and then moving 9 units down would get us to the location x = -5 and y = -9.
The diagram is attached below which shows the location of the point (-5, -9)
Find the area of the parallelogram.
Answer:
Solution in image
Step-by-step explanation:
Best answer gets Brainliest!!!
Answer:
the answer is b
Step-by-step explanation:
please brainliest
Answer:
c
Step-by-step explanation:
Is (–28, 92) a solution to the equation y = 92?
Answer:
yes
Step-by-step explanation:
the second number in a set of parenthesis is the y value and the number in the parenthesis is 92 which makes y=92 true
Which statement is true about the value of 1-512
It is the distance that -5 is from 0 on the number line,
It is the distance that -5 is from 5 on the number line.
O It is less than 5.
It is greater than 5.
Answer:
It is the distance that -5 is from 0 on the number line
Step-by-step explanation:
I learned this last month
Hope this helps
Answer:
A. It is the distance that -5 is from 0 on the number line.Step-by-step explanation:
The question should read:Which statement is true about the value of |-5| ?SolutionThis is about absolute value. It is always positive. The choices:
A. It is the distance that -5 is from 0 on the number line.
Correct, the distance 0 to -5 is actually 5 and its true.B. It is the distance that -5 is from 5 on the number line.
Incorrect, it would make 5 - (-5) = 10 unitsC. It is less than 5.
Incorrect, its exactly 5D. It is greater than 5
Incorrect, its exactly 5.A door 2m*1m is fixed on a wall.The wall is 8.5 long and 2m high.Find the cost of whitewashing the wall ₹40 per square meter.
Answer:
[tex]600\ rupees[/tex]
Step-by-step explanation:
[tex]We\ are\ given:\\Dimensions\ of\ the\ door=2m *1m\\Dimensions\ of\ the\ wall=8.5m*2m\\Cost\ of\ whitewashing\ of\ 1m^2=40\ rupees\\Hence,\\First\ lets\ consider\ the\ wall:\\Area\ of\ a\ rectangle= Length*Width\\Here,\\Length\ of\ the\ wall=8.5\ m\\Width\ of\ the\ wall=2\ m[As\ here\ width\ and\ height\ are\ the\ same\ thing]\\Hence,\\Area\ of\ the\ wall=8.5*2=17\ m^2[/tex]
[tex]Now,\\Lets\ consider\ the\ door:\\As\ we\ know\ that,\\Area\ of\ a\ rectangle=Length*Width\\Here,\\Length\ of\ the\ door=2m\\Width\ of\ the\ door=1\ m\\Hence,\\Area\ of\ the\ door=2*1=2m^2\\\\Now,\\The\ area\ to\ be\ whitewashed=Area\ of\ the\ wall-Area\of\ the\ door\\Hence,\\The\ area\ to\ be\ whitewashed=17-2=15\ m^2\\\\As\ we\ know\ that,\\Cost\ of\ whitewashing\ 1\ m^2\ of\ the\ wall= 40\ rupees\\Hence,\\[/tex]
[tex]Cost\ of\ whitewashing\ the\ whole\ wall=Area\ of\ the\ wall\ to\ be\\ whitewashed*Rate\ of\ whitewashing\ per\ m^2\\Hence,\\Cost\ of\ whitewashing\ the\ whole\ wall=15*40=600\ rupees[/tex]
846.27 divided by 0.22
Answer:
3,846.68182
Step-by-step explanation:
hope it helps
Write an inequality to model the situation: The number n of people who applied for the job was at least 6.
A. n<6
B. n26
C. n36
D. n> 6
Answer:
d
Step-by-step explanation:
Whats the difference between 24 and -14.
Which graph shows the solution to the inequality -3x-720?
Answer:
x>-9
Step-by-step explanation:
The given inequality is :
-3x - 7 < 20
We need to find the solution of the inequality using graph.
-3x - 7 < 20
Add 7 to both sides
-3x-7+7 < 20+7
-3x <27
x>-9
Hence, the attatched graph shows the solution of the given inequality.