Question isn't well formatted :
on a restaurant menu you can have three course meal by selecting one from each meal course they're five appetizers four main dishes and two desserts to choose from how many Possible full meals are there?
Answer:
40
Step-by-step explanation:
To solve questions of this nature, we apply combination.
nCr = n! ÷ (n - r)!r!
For the 3 course meal :
Selection procedure ;
Select 1 appetizer from 5 ; and 1 main dish from four and 1 dessert from 2
This gives :
5C1 * 4C1 * 2C1
5C1 = 5! ÷ (5-1)!1! = 5
4C1 = 4! ÷ (4-1)!1! = 4
2C1 = 2! ÷ (2-1)!1! = 2
Hence, we have
5 * 4 * 2 = 40 different meals
Answer:
40?
Step-by-step explanation:
Find the number exactly halfway between 1/5 and9/10
I am not pretty sure of the answer but maybe it's 5/10
Answer:
the number half way between 1-5 is 3. and the number half way between 9/10 is 9.5
Step-by-step explanation:
to find the number half way between 1/5 just write out all the numbers (1 2 3 4 5) and 3 is the halfway point because there are two numbers on the right and to numbers on the left
the number halfway between 9 and 10 is 9.5. all you do is add 9 +10 then divide by 2
9+10=19
19÷2= 9.5
Which equation has no real solutions?
Answer:
C is the answer
Step-by-step explanation:
Andrea bought 1 2/5 pounds of avocados at $4.20 per pound and 2 1/
4 pounds of asparagus at $3.80 per pound.
What was her total cost?
Answer:
$14.43¢
Step-by-step explanation:
We are given; [tex]1\frac{2}{5}[/tex] pounds, 1 pound = $4.20 and [tex]2\frac{1}{4}[/tex] pounds,1 pound = $3.80 that Andrea bought.
Now we need to find her total cost. To do that, we must first find the cost of the avocados. To do so, let us set up a graph. But before that is done, convert [tex]1\frac{2}{5}[/tex] to a decimal. It is 1.4. Now we can set up a graph.
Avocados
[tex]\frac{4.2}{1}=\frac{x}{1.4}[/tex]
Switch sides
[tex]\frac{x}{1.4}=\frac{4.2}{1}[/tex]
Apply rule: [tex]\frac{a}{1}=a[/tex]
[tex]\frac{x}{1.4}=4.2[/tex]
Multiply both sides by 1.4
[tex]\frac{1.4x}{1.4}=4.2\cdot \:1.4[/tex]
Simplify
[tex]x=5.88[/tex]
So, her cost for avocados is $5.88¢
Now we must first find the cost of the avocados. To do so, let us set up a graph. But before that is done, convert [tex]2\frac{1}{4}[/tex] to a decimal. It is 2.25. Now we can set up a graph.
Asparagus
[tex]\frac{3.8}{1}=\frac{x}{2.25}[/tex]
Switch sides
[tex]\frac{x}{2.25}=\frac{3.8}{1}[/tex]
Apply rule : [tex]\frac{a}{1}=a[/tex]
[tex]\frac{x}{2.25}=3.8[/tex]
Multiply both sides by 2.25
[tex]\frac{2.25x}{2.25}=3.8\cdot \:2.25[/tex]
Simplify
[tex]x=8.55[/tex]
So, her cost for asparagus is $8.55¢
Total cost
Now that we have found out how much both of the fruits Andrea bought costs, we need to sum it up (meaning add it) to find the total cost:
$5.88¢ + 8.55¢ =
5.88 + 8.55 = 14.43
Therefore, Andrea's total cost of the fruits is $14.43¢
Point s is locaded 5 units to the right of point t plot the point that represents the location of point s select the place on the coordinate plane to plot the point
Answer:
See attachment for plot
Step-by-step explanation:
Given
[tex]t = (-1,2.5)[/tex] ---- coordinates of t
s = 5 units to the right of t
Required
Plot s
First, we determine the coordinate of s
The rule to translate a point to the right is:
[tex](x,y) \to (x + h,y)[/tex]
Where h is the number of units
i.e.
[tex]h= 5[/tex]
So, we have:
[tex]s = (-1 + 5, 2.5)[/tex]
[tex]s = (4, 2.5)[/tex]
See attachment for plot
A recipe calls for 1 ¾ cups of flour. If the recipe is tripled, how much flour is needed?
Answer:
5 and 1/4 cups
Step-by-step explanation:
Break it down
.75 times 3 = 2.25
1 times 3 = 3
2.25 +3 = 5.25 or 5 1/4 cups
Answer:
5 and 1/4 = 5.25
Step-by-step explanation:
I converted 5 and 3/4 to 5.75. Then i just multiplied 5.75*3=5.25. 5.25 is equal to 5 and 1/4
Hope this helps :)
4.
Which graph represents the following system of equations?
y = 3x + 3
y = –x – 3
A. Graph c
B. Graph b
C. Graph d
D. Graph a
Answer: Graph D (bottom right corner)
======================================================
Explanation:
The equation y = 3x+3 is in slope intercept form y = mx+b
m = 3 = slope
b = 3 = y intercept
In this case, both the slope and y intercept are the same (though in general they tend not to be).
The positive slope value means the line goes uphill as you move from left to right. The positive y intercept means the diagonal line crosses the y axis somewhere above the horizontal x axis. Specifically, it crosses the y axis at y = 3
Graph D is the only graph that has such a line on it. Graphs A, B and C have the positive slope line where they have a negative y intercept, so we can rule them out.
You can use graphing tools such as Desmos or Geogebra to help confirm this answer. You could also make a table of values, and plot each point, to form the lines. Two points is the minimum amount needed to form any line.
Answer:
Step-by-step explanation:
Answer:
See picture attached below.
Step-by-step explanation:
To graph the system, graph each line separately.
y = 3x + 3 ha slope 3 and y-intercept 3.
Start at 3 on the y-axis and mark a point. Then from this point move up 3 units and to the right 1 unit. Mark a point and connect.
y=-x - 3 has slope -1 and y-intercept -3.
Start at -3 on the y-axis and mark a point. Then from this point move down 1 unit and to the right 1 unit. Mark a point and connect.
This graph is represented in the picture attached.
...............................................................................................................................................
Which graph represents the following system of equations?
y = 3x + 3
y = –x – 3
...............................................................................................................................................
y=x−8
y=12x−5
...............................................................................................................................................
Graph of 2 lines that intersect at one point. Both lines are solid. One line passes through (-2,2) and (0,3) and is shaded below the line.
y < = 1/2x + 3...(-2,2) y < = 1/2x + 3....(0,3)
2 < = 1/2(-2) + 3 3 < = 1/2(0) + 3
2 < = -1 + 3 3 < = 0 + 3
2 < = 2 (correct) 3 < = 3 (correct)
The other line passes through points (0,1) and (1,-2) and is shaded above the line.
y > = -3x + 1...(0,1) y > = -3x + 1...(1,-2)
1 > = -3(0) + 1 -2 > = -3(1) + 1
1 > = 0 + 1 -2 > = -3 + 1
1 > = 1 (correct) -2 > = -2 (correct)
...............................................................................................................................................
we have
using a graph tool
see the attached figure
The solution of the system is the shaded area
we know that
The line is solid
The line passes through points and and is shaded above the line.
The line is solid
The line passes through points and and is shaded below the line
The two lines intersect at one point
therefore
the answer is the option
B) Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded above the line.
Help me!!!!!!!!! For 10 points
Answer: Hope this helps!
XYW=48 degrees
X=16
Step-by-step explanation:
So the angles are on a straight line. A straight line is 180 degrees. If you subtract 132 by 180 you get 48. Now to solve for x I divided 48 by 3. And I got 16.
Step-by-step explanation:
1). m∠ XYW = 180° - 132°
= 48°
2). 3x + 132 = 180°
3x = 180° - 132°
3x = 48°
x = 48/3
x = 16°
#CMIIWEllise has 4 times as much money as her sister. If Ellise has php 10.40, how much money does her sister have?
Answer:Ellise's sister has php 2.4
Step-by-step explanation:
Let the amount of money Ellise sister has be = x
and amount Ellise has be =4x
since Ellise has php 10.40
her sister will have php 10.40/4 = php 2.4
Which radio costs 150% as much as Radio D?
You invested $680 at 2.7% compounded monthly. How much money do you have after
8 years? Estimate your answer to two places after the decimal, if necessary.
Answer:
$843.74
Step-by-step explanation:
A = P (1 + r/n)^nt
A = 680(1 + 0.027/12)^12·8
A = 680( 1.00225)^96
A = 843.74
ASAP can one of y’all help me do surface how do you do it
Answer:
false
Step-by-step explanation:
solid A surface area-112
solid B surface area-136
to find the surface area of a rectangular prism the equation is 2(lw + lh + wh)
Solid A 4*8+4*2+8*2
32+8+16
56*2=112
Solid B 2*2+2*16+2*16
4+32+32
68*2=136
What is the answer to 10 to the power of 8
Answer:
Step-by-step explanation:
10^8
it means multiply 10 8 times so
10*10*10*10*10*10*10*10
=100000000
Plz help down below is the question
Answer:
The answer would be exactly 250 messages.
0.50 × x = $125
125÷ 0.50=250
Hope this helps!
140.23 < 140.203 what is the answer true or false.
Answer:
true
Step-by-step explanation:
Answer:
false because 140.23 is not less then 140.203
PLEASE HELP! ( no random links )
“How many servings of fruit did you eat yesterday?” Is this a statistical question or non-statistical question?
Answer:
This is not a statistical question
Step-by-step explanation:
A statistical question is a question the gathers varying data
Verify that:
1. (CosX)(CotX) = CscX - SinX
2. (Csc X - CotX)^2 = 1-CosX/1+CosX
These were the last two questions on my Homework that I couldn’t figure out after many tries! Thank you to anyone who helps!
Answer:
See Below.
Step-by-step explanation:
Problem 1)
We want to verify that:
[tex]\displaystyle \left(\cos(x)\right)\left(\cot(x)\right)=\csc(x)-\sin(x)[/tex]
Note that cot(x) = cos(x) / sin(x). Hence:
[tex]\displaystyle \left(\cos(x)\right)\left(\frac{\cos(x)}{\sin(x)}\right)=\csc(x)-\sin(x)[/tex]
Multiply:
[tex]\displaystyle \frac{\cos^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]
Recall that Pythagorean Identity: sin²(x) + cos²(x) = 1 or cos²(x) = 1 - sin²(x). Substitute:
[tex]\displaystyle \frac{1-\sin^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]
Split:
[tex]\displaystyle \frac{1}{\sin(x)}-\frac{\sin^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]
Simplify:
[tex]\csc(x)-\sin(x)=\csc(x)-\sin(x)[/tex]
Problem 2)
We want to verify that:
[tex]\displaystyle (\csc(x)-\cot(x))^2=\frac{1-\cos(x)}{1+\cos(x)}[/tex]
Square:
[tex]\displaystyle \csc^2(x)-2\csc(x)\cot(x)+\cot^2(x)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]
Convert csc(x) to 1 / sin(x) and cot(x) to cos(x) / sin(x). Thus:
[tex]\displaystyle \frac{1}{\sin^2(x)}-\frac{2\cos(x)}{\sin^2(x)}+\frac{\cos^2(x)}{\sin^2(x)}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]
Factor out the sin²(x) from the denominator:
[tex]\displaystyle \frac{1}{\sin^2(x)}\left(1-2\cos(x)+\cos^2(x)\right)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]
Factor (perfect square trinomial):
[tex]\displaystyle \frac{1}{\sin^2(x)}\left((\cos(x)-1)^2\right)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]
Using the Pythagorean Identity, we know that sin²(x) = 1 - cos²(x). Hence:
[tex]\displaystyle \frac{(\cos(x)-1)^2}{1-\cos^2(x)}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]
Factor (difference of two squares):
[tex]\displaystyle \frac{(\cos(x)-1)^2}{(1-\cos(x))(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]
Factor out a negative from the first factor in the denominator:
[tex]\displaystyle \frac{(\cos(x)-1)^2}{-(\cos(x)-1)(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]
Cancel:
[tex]\displaystyle \frac{\cos(x)-1}{-(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]
Distribute the negative into the numerator. Therefore:
[tex]\displaystyle \frac{1-\cos(x)}{1+\cos(x)}=\displaystyle \frac{1-\cos(x)}{1+\cos(x)}[/tex]
What are the adjacent and vertical pairs in this picture
Answer:
Step-by-step explanation:
Two line segments AD and CE intersects at a point B.
Two angles which represent the pair of adjacent angles are,
∠ABC and ∠DBC
Pair of vertical angles (Opposite angles between two intersecting lines) is,
∠ABE and ∠CBD
help! (equivalent fractions)
it has three questions, please awnser the three! thank you!!!
Answer:
1. answer is 12
2. answer is 18
3. answer is 2
PLS HELP WILL MARK BRAINLEST IF UR CORRECT
Answer:
52. (0,-3)
53. Slope= 4
54. Y=4x-3
AABC has vertices at (1,5), (4,8), and (16, 12). A second triangle, ADEF, has vertices at (4, 20), (16, 32), and (64, 48). If the two triangles are related by a dilation factor, which of the following could be a rule for the dilation?
Select one:
O (I,y) → (4x, 4y)
0 (x,y) → (6x, 6y)
O (x,y) → (2, y)
0 (r,y) → (16x, 16y)
Answer: the first one
Step-by-step explanation:
(x,y)->(4x, 4y)
Consider the series One-fourth, StartFraction 1 Over 16 EndFraction + StartFraction 1 Over 64 EndFraction + StartFraction 1 Over 256 EndFraction + ellipsis
Which expression defines Sn?
Answer:
C, I got it right
Step-by-step explanation:
The two major types of series are the arithmetic series and the geometric series. The arithmetic series is characterized by common difference, while the geometric series has common ratio between two successive terms.
The sum of the given series is:
[tex]\lim_{n \to \infty} \frac{1}{3}(1 - \frac{1}{4}^n )[/tex]
The given series is a geometric series. So, we first calculate the common ratio (r) using:
[tex]r = T_2 \div T_1[/tex]
From the series, we have:
[tex]T_1 = \frac{1}{4}[/tex]
[tex]T_2 = \frac{1}{16}[/tex]
So, the equation becomes
[tex]r = \frac{1}{16} \div \frac{1}{4}[/tex]
Rewrite as product
[tex]r = \frac{1}{16} * \frac{4}{1}[/tex]
[tex]r = \frac{1}{4}[/tex]
The formula to calculate the sum of a geometric series of is:
[tex]S_n = \frac{a(1 - r^n )}{1-r}[/tex]
Where
[tex]a = T_1 =\frac{1}{4}[/tex] -- the first term
[tex]S_n = \frac{\frac{1}{4}(1 - \frac{1}{4}^n )}{1-\frac{1}{4}}[/tex]
Simplify the denominator
[tex]S_n = \frac{\frac{1}{4}(1 - \frac{1}{4}^n )}{\frac{3}{4}}[/tex]
Divide 1/4 by 3/4
[tex]S_n = \frac{1}{3}(1 - \frac{1}{4}^n )[/tex]
We can conclude that, the sum of the series is:
[tex]S_n = \lim_{n \to \infty} \frac{1}{3}(1 - \frac{1}{4}^n )[/tex]
Read more at:
https://brainly.com/question/21087466
What is the 9th row of Pascal's Triangle?
Group of anwers
1,10,45,120,200,252,200,120,45,10,1
1,8,28,56,70,56,28,8,1
1,9,36,84,126,126,84,36,9,1
Pascal's Triangle does not have 9 rows.
Answer:
Pascal triangle is infinite, and the answer to this question is the 1,9,6,84,126,126,84,36,9,1
Step-by-step explanation:
in the pascal triangle the first row start with 0.
The 2nd term of an arithmetic progression is (1/2) and the sum of the first 14th terms is -70. Find
(a) the common difference
(b) the last term.
Answer:
The common difference is -1.
The last term (the 14th term) is -11.5.
Step-by-step explanation:
In an arithmetic sequence, the second term is 0.5 and the sum of the first 14 terms is -70.
We want to determine the: (a) common difference and (b) the last term.
We can write an explicit formula to represent the sequence. An arithmetic sequence can be modeled by the formula:
[tex]\displaystyle x_n=a+d(n-1)[/tex]
Where a is the initial term, d is the common difference, and n represents the nth term.
Since the second term is 0.5:
[tex]x_2=0.5=a+d(2-1)[/tex]
Simplify:
[tex]x_2=0.5=a+d[/tex]
The sum of an arithmetic sequence is given by the formula:
[tex]\displaystyle S=\frac{k}{2}\left(a+x_k\right)[/tex]
Where k is the number of terms and x_k is the last term.
Since the sum of the first 14 terms is -70, S = -70 and k = 14:
Using our explicit formula, the last term is:
[tex]x_{14}=a+d(14-1)=a+13d[/tex]
Substitute:
[tex]\displaystyle -70=\frac{14}{2}(a+(a+13d))[/tex]
Simplifiy:
[tex]-10=2a+13d[/tex]
Rewrite the equation for the second term:
[tex]a=0.5-d[/tex]
Substitute:
[tex]-10=2(0.5-d)+13d[/tex]
Simplify:
[tex]-10=1-2d+13d[/tex]
Solve for d:
[tex]d=-1[/tex]
Hence, our common difference is -1.
Solve for a, the initial term:
[tex]a=0.5-(-1)=1.5[/tex]
So, our explicit formula is now:
[tex]x_n=1.5-1(n-1)=1.5-n+1=2.5-n[/tex]
So, the last term (which is 14) is:
[tex]x_{14}=2.5-(14)=-11.5[/tex]
pls help me with these and can you do them all and mitch you show me how to and I don't care if you use photo math thank you and use give me the best will be thank and brainlist.
Mr. Cobb is carpeting a 17.7 m long hallway. He has a piece of carpet 22 m long. How much does Mr. Cobb need to cut off the length of the piece of carpet?
Answer:5.7
Step-by-step explanation:
A library labels each book with a six-character code to identify the book in its computer system. The first character is either a letter or digit, and this is followed by three digits, then two letters. How many different codes are possible
Answer: There are 24336000 different codes that are possible.
Step-by-step explanation:
We know that,
Total alphabets = 26
Total digits = 10
Choices for First place = 26+10=36
Choices for next 3 places = 10 x 10 x 10 = 1000
Choices for last 2 places = 26 x 26 = 676
Total different codes are possible = 36 x 1000 x 676
=24336000
Hence, there are 24336000 different codes that are possible.
6 ( 7y - 5) simplified
Answer:
42y-30
Step-by-step explanation:
here you go
Pls answer quick 45 points :))
Answer:
5
Step-by-step explanation:
Can you answer the question in the picture please?
Answer:
D)
Step-by-step explanation:
5x5+5=30
8x9+7=79
24x3+28=100
Help! How do I find AC in this equation?
Answer:
33
Step-by-step explanation:
add 25 & 8 together
Answer:
SEE IMAGE FOR SOLUTION
Hope it helps
Have a great day