Timmy likes to eat his fruit snacks in pairs, with different flavors in each pair.
The fruit snacks come in Cherry, Grape, Lemon, and Orange. Which list shows
all possible combinations of two different fruit-snack flavors?
A. CL, CO, GL, GO, LC, LO, OG, OL
B. CC, CG, CL, CO, GG, GL, GO, LL, LO, OO
C. CL, CG, CO, GL, GO, LO
D. CL, GL, LO, OC
Answer: C
Step-by-step explanation: By going in order we can combine Cherry with Grape, Lemon and Orange. This creates 3 different flavors that are not the same flavor. We can move on to Grape, and combine it with Lemon and Orange since we have already combined it with Cherry. Finally, we can combine Lemon with Orange since it has already been combined with Grape and Cherry. Now, all possible combinations of flavors are shown.
OR
Create a list of each flavor combination per flavor, then rule out any repeats so only one remains.
Cherry: CL, CG, CO
Lemon: CL, GL, OL,
Grape: GC, GL, GO
Orange: CO, GO, LO
CL, CG, CO, GL, GO, LO
There are d boys in the class. This is two more than four times the number of
girls (X). How many girls are there in the class?
Answer:
c.
Step-by-step explanation:
That is, the number of boys (d) is (=) 2 more than (2 +) 4 times the number of girls (4X). So your answer is C
HELP PLEASE
Question 1
The probability that an event will occur is 100%. Which of these best describes the likelihood of the event occurring?
Likely
Certain
Unlikely
Impossible
Question 2
A class has 15 boys and 16 girls. What is the probability that a boy's name is drawn at random?
15 over 31
16 over 31
15 over 16
16 over 15
Question 3
A spinner is divided into sections of equal size, of which some are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 50%. The probability of the arrow landing on a section colored blue is 10%. What is the probability of the arrow landing on a section colored green?
10%
40%
50%
60%
Question 4
The probability that an event will occur is fraction 1 over 8. Which of these best describes the likelihood of the event occurring?
Likely
Certain
Unlikely
Impossible
Answer:
1. certain
2.15/31
3.40%
4.unlikely
Carrie and Kenny both play soccer. Kenny scored 3 times as many goals as Carrie. Together they scored 12 goals. Could Carrie have scored 2 goals? Why or why not? Yes, because 2 goals is less than the total number of goals scored. No, because 3(2) + 2 ≠ 12. Yes, because 2 goals is less than the number of goals Kenny scored. No, because 3(2) ≠ 12.
Answer:
no
Step-by-step explanation:
Answer: I thinks its D if im wrong sorry
Step-by-step explanation:
Which of the following choices best describes the behavior of the light rays when they pass through the lens:
A)The rays will refract and bend away from each other.
B)The rays will refract and bend toward each other.
C)The rays will move through the lens without changing direction.
D)The rays will bounce off the surface of the lens.
i would C because it the lights didnt bend
it went through
A company is looking to fill its Board of Directors position. 3 positions will be for men, 2
positions will be for women. There are 16 candidates, 9 men and 7 women. What is the
total possible outcome?
Answer:
1764 ways
Step-by-step explanation:
Given:
Men = 9
Women = 7
Required Men: 3
Required Women: 2
'
Required
Total Possible Outcome
The total possible outcome can be determine as follows;
Total = (Selection of Men) and (Selection of Women)
Calculating Selection of Men;
Let n represent total number of men; This implies that n = 9;
Let r represent number of men to select; This implies that r = 3;
The selection can be done in the following ways;
[tex]Male = nCr[/tex]
Where [tex]nCr = \frac{n!}{r!(n-r)!}[/tex]
[tex]Male = 9C3[/tex]
[tex]Male = \frac{9!}{3!(9-3)!}[/tex]
[tex]Male = \frac{9!}{3!(6)!}[/tex]
[tex]Male = \frac{9 * 8 * 7 * 6!}{3!6!}[/tex]
[tex]Male = \frac{9 * 8 * 7}{3!}[/tex]
[tex]Male = \frac{9 * 8 * 7}{3*2*1}[/tex]
[tex]Male = 84 ways[/tex]
Calculating Selection of Women;
Let n represent total number of men; This implies that n = 7;
Let r represent number of men to select; This implies that r = 2;
The selection can be done in the following ways;
[tex]Female = nCr[/tex]
Where [tex]nCr = \frac{n!}{r!(n-r)!}[/tex]
[tex]Female = 7C2[/tex]
[tex]Female = \frac{7!}{2!(7-2)!}}[/tex]
[tex]Female = \frac{7!}{2!(5)!}[/tex]
[tex]Female = \frac{7 * 6 * 5!}{2!5!}[/tex]
[tex]Female = \frac{7 * 6}{2!}[/tex]
[tex]Female = \frac{42}{2*1}[/tex]
[tex]Female = 21 ways[/tex]
Recall that
Total = (Selection of Men) and (Selection of Women)
Hence,
[tex]Total = 84 * 21[/tex]
[tex]Total = 1764 ways[/tex]
Use the Fundamental Theorem of Calculus to find the area of the region between the graph of the function x5 + 8x4 + 2x2 + 5x + 15 and the x-axis on the interval [–6, 6]. Round off your answer to the nearest integer.
Question 15 options:
25,351 units2
149,473 units2
3,758 units2
2,362 units2
Answer:
The area of the region between the graph of the given function and the x-axis = 25,351 units²
Step-by-step explanation:
Given x⁵ + 8 x⁴ + 2 x² + 5 x + 15
If 'f' is a continuous on [a ,b] then the function
[tex]F(x) = \int\limits^a_b {f(x)} \, dx[/tex]
By using integration formula
[tex]\int{x^n} \, dx = \frac{x^{n+1} }{n+1} +c[/tex]
Given x⁵ + 8 x⁴ + 2 x² + 5 x + 15 in the interval [-6,6]
[tex]\int\limits^6_^-6} (x^{5} + 8 x^{4} + 2 x^{2} + 5 x + 15) )dx[/tex]
On integration , we get
= [tex](\frac{x^{6} }{6} + \frac{8 x^{5} }{5} + 2 \frac{x^{3} }{3} +\frac{5 x^{2} }{2} + 15 x)^{6} _{-6}[/tex]
[tex]F(x) = \int\limits^a_b {f(x)} \, dx = F(b) -F(a)[/tex]
= [tex](\frac{6^{6} }{6} + \frac{8 6^{5} }{5} + 2 \frac{6^{3} }{3} +\frac{5 6^{2} }{2} + 15X 6) - ((\frac{(-6)^{6} }{6} + \frac{8 (-6)^{5} }{5} + 2 \frac{(-6)^{3} }{3} +\frac{5 (-6)^{2} }{2} + 15 (-6))[/tex]
After simplification and cancellation we get
= [tex]\frac{2 X 8 X (6)^{5} }{5} + \frac{2 X 2 X (6)^3}{3} + 2 X 15 X 6[/tex]
on calculation , we get
= [tex]\frac{124,416}{5} + \frac{864}{3} + 180[/tex]
On L.C.M 15
= [tex]\frac{124,416 X 3 + 864 X 5 + 180 X 15}{15}[/tex]
= 25 351.2 units²
Conclusion:-
The area of the region between the graph of the given function and the x-axis = 25,351 units²
Plz Help!
Hank has cards that are 4 inches by 2 inches. A stack of these cards fits inside the box shown and uses up 8 cubic inches of volume.
L 4 in.
W 2 in.
H 2 in.
Part 1 out of 2
How tall is the stack of cards?
The stack is ___ inch(es) tall.
what is the measure of acb
CBA = 180 - 70 (linear pair)
=110
ACB = 180- (20+110)
= 180-130 = 50
Please help with the question (it is the image lol) thanks!
Answer:
Volume of the liquid left in the container will be 80 ml.
Step-by-step explanation:
Two containers A and B having equal volumes of the liquid has been shown in the figure attached.
Let the volume of the liquid in each container = x ml
120 ml of the liquid was poured in container B from container A.
Volume of liquid in container B = 4 × Volume of the liquid in container A
x + 120 = 4(x - 120)
x + 120 = 4x - 480
4x - x = 480 + 120
3x = 600
x = 200 ml
Volume of the liquid left in container A = 200 - 120
= 80 ml
Therefore, volume of the liquid left in the container A will be 80 ml.
Find two consecutive whole numbers that 82 lies between.
Answer: The question as written is incomplete, but square root of 82 is between the whole numbers 9 and 10, whose squares are 81 and 100 respectively. (Vote me brainliest please)
Given this rectangular prism with length
= 15 m, height
= 25 m, and Volume
13, 500 m*, find the missing width of the prism:
V = 13,500 m²
25 m
15 m
? m
Answer: width = 36 m
Step-by-step explanation:
Width = Volume / (height x length)
Width = 13500 / (25 x 15)
= 13500/375
= 36 m
What is the sum o[tex]\sqrt{-} 2 and \sqrt{} -18[/tex]
Answer:
Step-by-step explanation:
[tex]\sqrt{-2}=\sqrt{2}i\\\\\sqrt{-18}=\sqrt{2*3*3}i=3\sqrt{2}i\\\\\sqrt{-2}+\sqrt{-18}= \sqrt{2}i+3\sqrt{2}i\\ =(1+3)\sqrt{2}i\\\\=4\sqrt{2}i[/tex]
The above table shows the number of widgets, gizmos, and blibbets purchased by a company for three months and the total amount spent for all items each month. Let x1, x2, x3 represent the cost for each widget, gizmo, and blibbet. Complete the linear system:
Answer:
Step-by-step explanation:
Cost of widget is 22.53, gizmo is 31.67, and blibbet is 8.65.
What is Cramer's rule?Cramer's rule is a form of formula for finding the solution of linear equations system of with as many equations as unknown.
Given that,
[tex]\left\{\begin{matrix}11x_1& 16x_2 & 25x_3 & =971\\15x_1& 22x_2& 8x_3 & =1104 \\ 9x_1& 12x_2& 17x_3& =730 \\\end{matrix}\right.[/tex]
solution by Cramer's rule
[tex]A = \begin{vmatrix} 971& 16& 25\\1104 & 22& 8\\ 730& 12& 17\\\end{vmatrix}[/tex]
[tex]A = -320[/tex]
[tex]A_1={\begin{vmatrix} 971& 16& 25\\ 1104& 22& 8\\ 730& 12& 17\\\end{vmatrix}[/tex]
[tex]A_1 = 7210[/tex]
[tex]A_2=\begin{vmatrix}11 & 971 &25 \\ 15& 1104 & 8 \\ 9& 730& 17\\\end{vmatrix}[/tex]
[tex]A_2=-10135[/tex]
[tex]A_3=\begin{vmatrix} 11& 16& 971\\ 15& 22& 1104\\ 9& 12& 730\\\end{vmatrix}[/tex]
[tex]A_3=-2770[/tex]
[tex]x_1=A_1/A\\ x_2=A_2/A\\ x_3=A_3/A\\[/tex]
[tex]x_1=\frac{-7210}{-320} \\ x_2=\frac{-10135}{-320} \\ x_3=\frac{-2770}{-320} \\[/tex]
[tex]x_1=\frac{721}{32} \\ x_2=\frac{2027}{64} \\ x_3=\frac{277}{32} \\[/tex]
[tex]x_1=22.53 \\ x_2=\ 31.67 \\ x_3=8.65\\[/tex]
Hence cost of widget is 22.53, gizmo is 31.67, and blibbet is 8.65.
Learn more about Cramer's rule
https://brainly.com/question/22247684
#SPJ2
Please answer fast, dhehdhhd
I believe the answer is 142 degrees.
38 degrees and 7 are adjacent, meaning adding them up will get you 180 degrees. 180-38=142, so 7 is 142.
Number 7 and 5 are corresponding, so they are equal.
This means that 5 is 142 degrees.
(I think)
The LA Taxi Co. fare in Los Angeles is $3.20 for the first 12mile. Additional mileage is charged at the rate of $0.25 for each 0.1 mile. You plan to give the driver a $2.00 tip. It is 6.5 miles to your grandmother’s house. How much will your total fare be, including tip?
Answer:
Your total fare including tip is $20.2
Step-by-step explanation:
Cost for first 0.5 mile = $ 3.20
Now we are given that Additional mileage is charged at the rate of $0.25 for each 0.1 mile.
It is 6.5 miles to your grandmother’s house.
So, remaining distance = 6.5-0.5=6 miles
Cost for 0.1 mile = $0.25
Cost for 1 mile =[tex]\frac{0.25}{0.1}[/tex]
Cost for 6 mile = [tex]\frac{0.25}{0.1} \times 6=15[/tex]
You plan to give the driver a $2.00 tip.
So, Total cost = $2+$3.2+$15=$20.2
Hence your total fare including tip is $20.2
25
Write the number 0.5 in the form , using integers, to show that it is a rational number.
5/11
5/100
5/10
2/1
Answer:
5/10
Step-by-step explanation:
0.5 is 5 tenths which is 5/10
help me please i need this done ASAP
Answer:
20 miles
Step-by-step explanation:
1 : just use the line to trace how long it would be
Given a = -3 and b= 4 and c=-5, evaluate
atb
C
-1/5
O 1/5
0 -7/5
Answer:
I got - 5 as an answer.
I don't think I made a mistake.
Please if you find any error, contact me in the comment section.
Step-by-step explanation:
[tex]a = -3 , b= 4 ,c= - 5\\(a+b)c\\(-3+4)-5\\(1)*(-5)\\Answer = -5[/tex]
Cinco amigos pidieron una pizza personal
extra grande cada uno. A continuación se
muestra la fracción de pizza que se comió
cada uno.
3
8
1
7
8
3
4
2
Encuentra la mediana de las fracciones
de pizza que se comieron.
Answer:
3/4
Step-by-step explanation:
Please explain how you got your answer( worth 10 points)
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides of this
triangle?
5 cm and 8 cm
6 cm and 7 cm
7 cm and 2 cm
8 cm and 9 cm
Save and Exit
Next
Submit
Mark this and retum
I NEED HELP ASAPPP!!!!!
Answer:
it must be 8cm + 9 cm
Step-by-step explanation:
A Triangel has three sides: a, b, c
The rule is, that in the triangle it is always:
a+b>c
a+c>b
b+c>a
The given side is 13 cm, so the two other sides need to be bigger than 13 cm.
5 cm + 8 cm = 13 cm - cannot be the two sides
6 cm + 7 cm = 13 cm - cannot be the two sides
7 cm + 2 cm = 9 cm < 13 cm - cannot be the two sides
8 cm + 9 cm = 17 cm > 13 cm - these are the sides you looked for!
The ages of kids in a neighborhood are shown below. What is the mode?
5,8,3,1,5, 4, 4, 6, 12, 10,4
Answer:
the mode is 4
Step-by-step explanation:
the 4 appears more than the other numbers
Answer:
4
Step-by-step explanation:
Mode = Number shown the most.
Please help with this...will give you five star and brainlist.....
Answer:
P = 72 mm
Step-by-step explanation:
Since all the angles are equal, this triangle is an equilateral triangle.
That means all the sides are equal.
All sides have length 24
P = 24+24+24
P = 72 mm
Plz help i hate math obvious
Answer:
2) 14 times 3) 210 times
Step-by-step explanation:
2) every second, a monarch butterfly will beat its wings 14 times
3) lets use the following formula
An=A1 +(n-1)d
A15= 14 + (15-1)14
A15= 14+14*14
A15= 14+196
A15= 210
210 times in 15 seconds
This sphere has a diameter of 5 m. What is the volume of the sphere?
Answer:
65.46 meters cubed
Step-by-step explanation:
Answer: the answer is V= 125/6πm^3
Step-by-step explanation: edge 2021
CN someone help me please
Answer:
B
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse h is equal to the sum of the squares on the other 2 sides, that is
h² = 3² + 7² = 9 + 49 = 58 ( take the square root of both sides )
h = [tex]\sqrt{58}[/tex] → B
Answer:
It's probably B
Step-by-step explanation:
you use the pythagorean theorm
a^2+b^2=c^2
3^2+7^2=c^2
9+49+=c^2
[tex]\sqrt{58}[/tex]=[tex]\sqrt{c^2}[/tex]
[tex]\sqrt{58}\\[/tex]=c
What object is defined using a directrix and a focus
A. Perpendicular Bisector
B. Parabola
C. Circle
D. Angle Bisector
Answer: B
Step-by-step explanation:
A parabola is defined using both a directrix and a focus.
To justify this, let me take a quote from Varsity Tutors (all credit of this quote goes to them) : “A parabola is set of all points in a plane which are an equal distance away from a given point and given line. The point is called the focus of the parabola and the line is called the directrix.”
Hope this helps! :)
question 2 <><><><><><><><><><><>
Answer:
I deserve brainliest just as all good boys deserves fudgeeeeee
Step-by-step explanation:
v^2 = 25/81
v= the square root of 25/81 = 5/9
since that isn't a choise, don't simplify.
D works too because negative x negative = positive
CCCCCCC
Answer:
C & D
Step-by-step explanation:
[tex]v^2=\frac{25}{81} \\v=\sqrt{\frac{25}{81}} , -\sqrt{\frac{25}{81}}[/tex]
y =6x— 11
— 2x — Зу = -7
Solve the systems of equation by substitution
Step-by-step explanation:
substitute the value of y in terms of x
-2x - 3(6x-11)= -7
-2x - 18x+ 33=-7
-20x= -40
x = -40/-20
x= 2
substitute x=2 in first equation
y= 12-11
y= 1
Answer:
D (2, 1)
Step-by-step explanation:
on edge (wait just realized the other answer is correct, i thought this said smth different that was on edge)
