Based on the tree diagram, there are a total of 12 possible dinner combinations for Leila.
Define combinations?
In mathematics, combinations are a way to count the number of ways to choose a subset of items from a larger set, where the order of the chosen items does not matter. The number of combinations is often denoted using the symbol "n choose k", where n is the total number of items and k is the number of items being chosen.
To see why, we can count the number of paths through the tree diagram. Starting at the top, there are 2 choices for the type of dips: Guacamole dip or Cheese dip. For each of these choices, there are 2 choices for the dessert : Burrito and Enchilada. Finally, for each main course, there are 2 choices for the main course: Chicken and Beef.
Multiplying the number of choices at each step, we get:
2 (choices for dips) x 2 (choices for dessert) x 2 (choices for main course) = 8 possible dinner combinations.
Therefore, there are 3 possible dinner combinations for Leila.
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The spinner shown has congruent sections. The spinner is spun 63 times. What is a reasonable prediction for the number of times the spinner will land on a section that is shaded red?
Answer:
36 times
Step-by-step explanation:
Given
[tex]Red = 4[/tex]
[tex]Total = 7[/tex]
[tex]n = 63[/tex]
See attachment
Required
Predicted number of times to land on red
First, we calculate the probability of landing on red
[tex]Pr = \frac{Red}{Total}[/tex]
[tex]Pr = \frac{4}{7}[/tex]
The predicted number of red is the =n calculated as:
[tex]Red = Pr * n[/tex]
[tex]Red = \frac{4}{7}*63[/tex]
[tex]Red = 4 * 9[/tex]
[tex]Red = 36[/tex]
what is x-7=1 simplified?
Answer:
x = 8
Step-by-step explanation:
x-7=1
Add 7 to each side
x-7+7 = 1+7
x = 8
Answer:
x= 8
Step-by-step explanation:
collect like terms
x= 7+1
x= 8
HELP ME PLEASE! ×∆×
Applying the Pythagorean theorem, solve this triangle.
Answer:
The length of the hypotenuse is the square root of 169, which in turn is 13.
Step-by-step explanation:
Here we have a right triangle with leg lengths 12 m and 5 m. Because this is a right triangle, we can apply the Pythagorean Theorem to find the length of the hypotenuse.
The Theorem states that a^2 + b^2 = c^2. In this particular case,
(12 m)^2 + (5 m)^2 = c^2
which in turn becomes:
144 + 25 = 169. The length of the hypotenuse is the square root of 169, which in turn is 13.
Can someone help me? Give me an explanation IF you can and the answer. The Quickest response gets BRAINLIEST
Answer:
The second option is correct.
Step-by-step explanation:
This is because when multiplied, they all equal the same number.
3*6 = 18
6*3 = 18
9*2 = 18
18*1 = 18
A bag contains 8 apples and 6 oranges. You randomly draw a piece of fruit from the bag, eat it, and than randomly draw another. What is the probability you draw and eat an apple than draw an orange?
Answer:
[tex]probability \ of\ choosing\ apple\ first = \frac{8}{14}\\\\probability\ of\ choosing\ orange\ second = \frac{6}{13}\\\\probability \ of \ choosing \ apple \ and \then \ orange = \frac{8}{14} \times\frac{6}{13} = \frac{24}{91}[/tex]
Find the following trigonometric values,rounded to 4 decimal places: 1) tan45. 2)sin70. 3) cos30. 4) cos20
Which of the following is a secant on the circle below?
V
s
R 120
120°
T
O A. SU
B. RT
C. SU
D. UT
helpp someonee
Answer:
A and B
Step-by-step explanation:
A secant is a line which intersects a circle at 2 points
SU and RT both intersect the circle at 2 points and are secants
Answer:its SU
Step-by-step explanation:
ITS THE ONLY CORRECT ANSWER YALL
23/147 yd × 3/14 after reducing them by a factor of 2/147 what are the original dimensions of the playground in yards? Write your answer with mixed numbers
Answer:
So the dimensions are 11 1/2 yds × 15 3/4 { 11 whole number 1 by 2 yards multiplied by 15 whole number 3 by 4}
Step-by-step explanation:
Here multiplicative property will be used .
a*1/a= 1
1* a/1= a ( reciprocal)
23/147 yd × 3/14 will be multiplied with the reciprocal of the factor 2/147 to
get the original number.
23/147 yd*147/2 × 3/14*147/2
23/2 yds × 441/28
11 1/2 yds × 15 3/4
So the dimensions are 11 1/2 yds × 15 3/4 11 whole number 1 by 2 multiplied by 15 whole number 3 by 4.
A geometric sequence has the terms with values a5=58 and a10 = 440.4375.
Part A: Determine what the common ratio is.
Answer:
1.5
Step-by-step explanation:
58(r)^5 = 440.4375
r^5 = 440.4375 / 58
r^5 = 7.59375
r = 1.5
simplify cos(2x)/ cos(x)-sin(x)
The value of the trigonometric expression cos(2x)/ [cos(x)-sin(x)] will be cos(x) + sin(x) thus option (C) is correct.
What is a trigonometric function?The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.
The trigonometric functions found in the four quadrants, as well as their graphs, domains, and differentiation and integration, will all be understood.
As per the given,
cos(2x)/ [cos(x)-sin(x)]
Since, cosx = cos²x - sin²x
cos(2x)/ [cos(x)-sin(x)] = (cos²x - sin²x)/[cos(x)-sin(x)]
Since, A² - B² = (A + B)(A - B)
(cos²x - sin²x)/[cos(x)-sin(x)] = [cos(x)+sin(x))(cos(x)-sin(x)]/[(cos(x)-sin(x))]
⇒cos(x) + sin(x)
Hence "Trigonometric expression cos(2x)/[cos(x)-sin(x)] value will be sin(x) + cos(x)".
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margo has 6 square tiles of equal size. each side of each tile is 0.8 inch long. if margi places all the tiles in a row with sides touching, how long is the row?
—————————————————
Margi has 6 square tiles of equal size. each side of each tile is 0.8 inch long. If Margi places all the tiles in a row with sides touching, how long is the row?
༆SOLUTION:—————————————————
[tex]\mathrm{N = 6×0.8 \: inch}[/tex]
[tex]{\boxed{\mathrm\green{N = 4.8 \: inch}}}[/tex]
༆ANSWER:—————————————————
[tex]\purple{\boxed{\boxed{\tt\pink{➢4.8 \: inch}}}}[/tex]
If Margi places all the tiles in a row with sides touching, the row will be 4.8 inch long!Factor problems 9 - 12 by using the difference of squares method.
12. x2 + 100
A. (x + 10)(x – 10)
B. (-x + 10)(x – 10)
C. (x + 10)(x + 10)
D. This polynomial cannot be factored by using the difference of squares method.
E. (x - 10)(x – 10)
F. (-x + 10)(-x – 10)
Look at picture included helpp aghhh, lots of points will be given!!!
Answer:
a) 677,040 b) 17,160
Step-by-step explanation:
a) this is a combinations problem as it deals with selection, rather than order. you can use a calculator to solve this:
there are 65 objects (colors) taken 4 at a time
(see photo)
there are 677,040 possible ways to arrange the boxes.
b) unlike question a, this is a permutation. the order matters.
since Ali can only visit the cities once, you must multiply by decreasing values starting from 13 down to 10 (4 "slots" for the 4 days)
13*12*11*10 = 17,160 possiblities
Which is the equation for the graph of the limacon curve below?
[-5,5] by [-5,5]
Answer:
Answer is D.
Step-by-step explanation:
The Equation of the Graph is r= 1 + 3 sinФ .
What is Graph for Polar Coordinates?The three crucial trigonometry ratios on which functions are defined are sine, cosine, and tangent. The graphs for the three trigonometric functions sin, cos, and tan are shown below. In these trigonometry graphs, the y-axis represents the value of the function at each given angle, while the x-axis represents the angle values in radians.
here, we have,
Given:
The Graph for each function is Attaches Below.
The graph represented here shows the function r= 1 + 3 sinФ .
The graph for, r= 1 + 3 cos have the vertical graph.
and, the graph for, r= 2+ 2 sinФ have the Circular graph.
and, the graph for, r= 3 + sinФ have the Circular graph.
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How many ways are there to fill the four committee positions?
Answer:
3 ways
Step-by-step explanation:
since the lowest # of people interested in a position is 3, there can only be 3 different ways to fill an entire 4-person committee
Help I need answers fast!
What number makes the equation true?
Hamad wants to buy a video game with a selling price of $55, on sale for 40% off. The sales tax in his state is 3.5%. How much will Hamad have to pay in all?
Answer:
34.16
Step-by-step explanation:
55x.40=22 discount
55-22=33 sales price
33x.035=1.16 sales tax
33+1.16=34.16 total price
Answer:
$33.75
Step-by-step explanation:
hope this helps
What number is 48 out of 250%
Answer:
120
Step-by-step explanation:
reduce the fraction from
[tex]48 \times \frac{250}{100 } [/tex]
to
[tex]48 \times \frac{5}{2} [/tex]
then multiply and you get 24 × 5 which is 120
A quantity with an initial value of 510 decays exponentially at a rate of 0.05% every 7
years. What is the value of the quantity after 3.6 decades, to the nearest hundredth?
Answer:
508.69
Step-by-step explanation:
...
Lightning flashes and is followed by the sound of thunder. The formula that relates the time between seeing the lightning, hearing the thunder, and the distance from the storm is: t = 3y, where t=time (seconds) y= distance (kilometers) How far away is the lightning if you hear the thunder 8 seconds after you see the lightning?
Answer:
2 2/3 kilometers
Step-by-step explanation:
t = 3y
let t = 8
8 = 3y
Divide each side by 3
8/3 = 3y/3
8/3 = y
2 2/3 kilometers
Answer:
2 2/3 kilometers
Step-by-step explanation:
Find the roots of the Equation 16+x^2=0
Answer:
x = 0 or x = - 16
Step-by-step explanation:
16+x^2=0
x ( x + 16 ) = 0
using the algebra rule a . b = a = 0 and b = 0
x = 0 or x = - 16
so the answer is x = 0 and x = -1 6
Mark brainliest plsssssssssss
Carter wants to cover his bedroom window with a piece of plywood to prepare for an upcoming storm. The window measures 4 1/2 feet tall and 2 1/4 feet wide. Find the area of the window.
fast please
Answer:
Step-by-step explanation:
Basically you turn 1/2 into fourths, 1/2 = 2/4
After that you would multiply 4 2/4 x 2 1/4
Then you get 10.125 turned into a fraction is 81/8
Answer question b and c
Question b: find the value of x
Question c: find the value of y
100 points
If you tell me to use quizlet or give me a wrong answer or link you will be reported
[tex]\huge{ \mathbf{ \underline{ Answer }\: \: ✓ }}[/tex]
The sand we need to fill the cylinders is equal to the total volume of the six cylindrical posts .
Given terms ( common for each cylinder ) :
height (h) = 4 ftradius. (r) = 0.5 ft[tex] \large \boxed{ \mathrm{volume =\pi {r}^{2} h}}[/tex]
[tex]3.14 \times \dfrac{1}{2} \times \dfrac{1}{2} \times 4[/tex][tex] \mathrm{3.14 \: ft {}^{3} }[/tex]Since volume of each cylinder is equal, so total volume of six cylindrical post :
[tex]3.14 \times 6[/tex][tex] { \mathrm{18.84 \: ft {}^{3} }}[/tex]_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
When graphing the coordinate (3,4) you would...
A. first move 3 coordinates up the y axis and then 4 coordinates over the the x axis
B. first move 3 coordinates over on the x axis and then 4 coordinates up the y-axis
Which expression is equivalent to (x^1/2y^-1/4z)^-2
Answer:
[tex]\sqrt{y}[/tex] ÷ xz²
Step-by-step explanation:
multiply the exponent of 'x' by -2 to get -1
multiply the exponent of 'y' by -2 to get 1/2
multiply the exponent of 'z' by -2 to get -2
= (x^-1)(y^1/2)(z^-2)
= 1/x · [tex]\sqrt{y}[/tex] · 1/z²
= [tex]\sqrt{y}[/tex] / xz²
Which ordered pair is a solution of this equation y = 80 – 8x?
Answer:
y = -8x + 80 This is the way I found the answer
find the square root of 3 upon 5 upto 2 decimal places
Answer:
Square root of 3 upon 5:
√3÷5
= 0.3464101615137
≈ 0.35 (corrected to 2 decimal places)
If these two triangular puzzle pieces are to be made congruent, what must be the measure of angle z?
Answer:
116
Step-by-step explanation:
180-28=152
152-36=116