Hey there! I'm happy to help!
PART A
When we say words, we don't really mean words. We just mean how many different ways we can arrange the letters. We could make a word like Hiskasw and that would work.
We have six different letters: w, h, i, s, k, and a. We have two s's and this will be very important when finding these permutations.
The first thing we do is take the number of letters and find its factorial. In this case, it is seven, so we have 7×6×5×4×3×2×1=5040.
But, this is not how many combinations there are, because we have two s's, and since they are the same many of our combinations are actually identical, but the s's are just switched. So, we take the number of s's (2) and we factorial it, which just still equals two, and then we divide our first factorial by that.
5040/2=2520
There are 2520 ways you can arrange the word WHISKAS.
PART B
Let's think of the seven letter slots in the word. It doesn't matter where you place one of the S's, but a slot next to the first S you place only has one choice of letter, which is another S to make it adjacent. This means that one specific slot is required to have an S. If we start off filling in our required one with an S, we have six letters left to fill in our other slots, which will give us a result of 6!, which is 720 seven-letter words.
PART C
Now, we have to have A be the first term and H be the last. If we think of the seven letter slots, we have only one choice on the first one, which is A, and only one choice on the last one, which is H. This leaves us with 5! or 120 possibilities, but we also have to divide by two because we have two S's, so there are 60 seven-letter words you can make if the words must begin with A and end with H.
Have a wonderful day!
2. A large banana split costs $5.80 plus $0.45 per topping. Write and solve an inequality that represents
the maximum number of toppings you can order if you want to spend at most $8.50.
Define variable:
Equation:
Solution:
can someone check my work? ty!!
Answer:
Hey there!
Define Variable: Let t be the number of toppings
Equation : You are correct
Solution: You are also correct.
Nicely done!
Hope this helps :)
An amusement park sells adult tickets and children’s tickets, with adults tickets costing $5 and children’s tickets costing $3. If Ed bought 15 tickets and spent a total of $57, how many children’s tickets did he buy? 3 5 6 9
Answer:
Nine
Step-by-step explanation:
3 dollars for children tickets : x
5 dollars for adult tickets: y
Equation is:
3x+5y=57
Where 57 is the total amount spent
x+y=15
where 15 is the total number of tickets bought
3x+5y=57
5(x+y)=5(15)
___________________
3x+5y=57
5x+5y=75
minus the equations top to bottom=
-2x= -18
x= -18/(-2)
x=9
He bought a total of 9 children tickets
Answer:
the answer is 9 or D
Step-by-step explanat ion:
Brainliest for whoever answers fully! Part A: Using the graph above, create a system of inequalities that only contains points C and F in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above. (5 points) Part B: Explain how to verify that the points C and F are solutions to the system of inequalities created in Part A. (3 points) Part C: Chickens can only be raised in the area defined by y > −4x + 3. Explain how you can identify farms in which chickens can be raised. (2 points)
Answer:
Hope this helps
Step-by-step explanation:
For part A, we want two inequalities that have F and D as solutions, but none of the other points. The easiest way to do this is construct two lines that pass through the origin, and then figure out which way the inequalities need to face based on the points we want to include. Our lines will be:
The first line intersects F and the second line intersects D, so we need to figure out which way to point the inequalities so both include the point they do not intersect:
So our system is:
Part B: To verify, plug in the x and y values for D and F and verify that it creates true statements in the system.
Part C: You can plug in the different x, y values for the points. The points which create true statements identify farms where chickens can be raised, while those which create false statements cannot raise chickens.
If 4 pounds of sugar cost $2, the cost of 1 pound of sugar is $ and the cost of 10 pounds of sugar is $ Bryan drives at an average speed of 60 miles per hour. At this rate, it will take him 3 hours to drive how many miles does Bryan
Answer:
The cost of one pound of sugar is $0.5 and the cost of 10lbs of sugar is $5
Bryan is driving 180 miles
Step-by-step explanation:
in a survey of 420 people, 85% said they drink coffee. of these, 1/3 said they drink their coffee black. how many of the people surveyed drink it black?
Answer:
A.) 119
420 * 0.85 is 357 and 357 * 1/3 is 119
Hope this helps ^^
Answer:
119
Step-by-step explanation:
The total number of people who had taken the survey is 420 wich is equivalent to 100%.
The percentage of people who drink coffee is 85%.
●●●●●●●●●●●●●●●●●●●●●●●●
Let x be the number of people drinking coffee
● 420 => 100%
● x => 85%
These values are proportional so we can cross-multiply them
● x*100 = 420*85
● x = (420*85)÷100
● x = 357
The number of people who drink coffee is 357.
■■■■■■■■■■■■■■■■■■■■■■■■■
Let y be the number of people who drink black coffee.
y is 1/3 of 357 since people who drink black coffee represent the third of the total number of people drinking coffee in general.
● To get y multiply 1/3 by the total number of people drinking coffee (357)
●y = (1/3)*357
● y = 119
119 is the number of people who drink black coffee
A dartboard has 20 equally divided wedges, and you are awarded the number of points in the section your dart lands in. If you are equally likely to land in any wedge, what is the probability you will score 5 points?
Answer:
1/20
Step-by-step explanation:
There are 20 spots on the board and the odds u will land on 5 would be 1/20
Determine if the statement is always, sometimes or never true. There are 300 degrees in the sum of the interior angles of a polygon.
Answer:
Never
Step-by-step explanation:
Using the formula to find the sum of the interior angles, (n-2) * 180, we can work backwards.
300/180 +2 = 11/3 or 3.666. Polygons cannot have decimal sides therefore your answer is never.
Answer:
never
Step-by-step explanation:
Mei-Ling is one of 6 members of a committee. If 2 members of that committee are selected to go to a conference, how many of the possible pairs of members would include Mei-Ling?
Answer:
5
Step-by-step explanation:
Mei-Ling could be paired with any of the other 5 committee members, so there are 5 possible pairs than include Mei-Ling.
Find the volume of a box whose width is 5 units, height and length are 2 units.
Answer:
20 units^3
Step-by-step explanation:
Well the formula for the volume of a box is,
l*w*h
l = 2
h = 2
w = 5
2*2*5
= 20 units^3
Hope this helps :)
Answer:
The volume of a box is:
20 units³
Step-by-step explanation:
The volume formula is:
v = height*width*length
v = 2*5*2
v = 20 units³
HELPPPP PLEASEEEEEEEEE
Answer:
3
Step-by-step explanation:
Plug in 2 for x:
5-2 - 3
Answer:
3
Step-by-step explanation:
f(x)= 5 - x
f(2) = 5 - 2 = 3
Triangle ABC has vertex coordinates A(–5, 2), B(–1, 3), and C(–1, 1). It is rotated 90° clockwise around the origin. What are the coordinates of B'?
Answer:
(3,1)
Step-by-step explanation:
The rule for a 90 degree clockwise rotation:
[tex](x,y)\rightarrow(y,-x)[/tex]
B is (-1, 3).
Apply the rule:
[tex]\frac{(-1,3)\rightarrow\boxed{(3,1)}}{(x,y)\rightarrow(y,-x)}\\\\3 * 1 = 3\\\\-1 * -1 = 1[/tex]
Option D should be the correct answer.
Pleas help with step by step. Thank you
Answer:
ok
Step-by-step explanation:
FIRST GETS BRAINLLEST If the rectangle below is enlarged by a scale factor of 1.2, what will be the area of the new rectangle? 62 square units 66 square units 72 square units 76 square units
Answer:
72 square units.
Step-by-step explanation: You have to multiply both sides by the scale factor. 5 times 1.2 is 6, and 10 times 1.2 is 12. Then, multiply 6 by 12 to get your area of 66 square units.
(a) Solve the system of linear equations:
x + y = 14
X-y=6
Answer:
x=10,y =4
Step-by-step explanation:
x + y = 14
X-y=6
Add the two equations together to eliminate y
x + y = 14
X-y=6
-----------------------
2x +0y = 20
Divide by 2
2x/2 =20/2
x = 10
Then find y
x+y = 14
10+y =14
Subtract 10 from each side
10+y-10=14-10
y =4
Answer:
x = 10, y = 4
Step-by-step explanation:
One way of doing this is by doing the substitution method
To do this you first need to put x on one side (x = y + 6)
Now where there is an x in the first equation you put that instead
(y + 6) + y = 14
After this, you solve for y (y = 4)
Lastly, you put the 4 where there is a y and then solve for x
x - 4 = 6
x = 10
The bending of a bean varies directly as its mas. A beam is bent 20mm by a mass 0f 40kg. how much will the beam bend with a mass of 100kg?
Answer:
The beam will bend by 50 mm with a mass of 100kg?
Step-by-step explanation:
The first step in solving the problem of direct variation is setting up the relation mathematically.
We can do this as follows:
The bending of the beam varies directly as its mass.
[tex]20 \alpha 40kg[/tex]
[tex]\alpha[/tex] here is the symbol representing direct variation. To remove this and replace it with an equality sign, we have to introduce a constant of proportionality, k
[tex]20 = k \times 40[/tex]
k = 20 /40 = 0.5
We can now use this to find the distance the beam will bend with a mass of 100kg?
This will be
[tex]Bending = 0.5 \times 100 =50mm[/tex]
There fore, the beam will bend by 50 mm with a mass of 100kg?
If y = 6x - 3, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs {(0, 3), (1, -9), (2,-15) (0, -3), (2, 15), (4,21)} (0, -3). (2,9),(4,21)} {(0.3),(-2, 15), (4, 21)}
Answer : (0, -3) ; (4,21) and (2,9)
Step-by-step explanation:
y = 6x- 3
y =0*x-3 = -3 (0,3) is not a possible set y = 1*6-3 = 3 (1,-9) is not a possible set y = 6*2-3 = 9 (2,-15) is not a posiible set (0.-3) is a possible set as verified in the first one (2,15) is not a possible set since the output of 2 is 9 y = 4*6-3 = 21 so (4,21) is possible set (2,9) is a possible set as verified in the third oneAnswer: ( 0,-3), (2,9),(4,21)
Step-by-step explanation:
Leonora is factoring a trinomial. The factors of the trinomial are shown on the model. An algebra tile configuration. 7 tiles are in the Factor 1 spot: 1 is labeled + x and 6 are labeled negative. 3 tiles are in the Factor 2 spot: 1 is labeled + x and 2 are labeled +. 0 tiles are in the Product spot. Which trinomial did she factor? x2 + 4x – 12 x2 + 2x – 6 x2 – 8x – 6 x2 – 4x – 12
Answer:
D: X^2-4x-12
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Leo had a $30 gift card to use at a coffee shop. He used the entire balance to buy regular-sized coffees, which cost $2, and large coffees, which cost $3. If he bought 13 coffees in total, how many large coffees did he buy? 2 3 4 9
Answer:
4 Large coffees
Step-by-step explanation:
4 X $3.00 = $12.00
9 x $2.00 = $18.00
$18.00 (9 small coffees) + $12.00 (4 Large Coffees ) = $30.00
Answer:
4
Step-by-step explanation:
took the test
I need help doing this can anyone help?
You posted a lot of questions. I'll do the first four problems to get you started.
============================
Problem 1
This sequence is arithmetic because we add the same amount (4) each time to get the next term. The first term is -2. The first five terms are: -2, 2, 6, 10, 14
============================
Problem 2
This sequence is geometric. We multiply each term by 1/4 to get the next term. We start with 8 as the first term. The first five terms are 8, 2, 1/2, 1/8, 1/32.
============================
Problem 3
Similar to problem 1. This time we're adding -19 to each term to get the next one. The starting term is -6. This sequence is arithmetic and the first five terms are -6, -25, -44, -63, -82
============================
Problem 4
Similar to problem 2. This sequence is geometric with common ratio 2/3. First term is 6. The first five terms are 6, 4, 8/3, 16/9, 32/27
What’s the slope for this graphed?
A.1/2
B.-2
C.2
D.-3
Answer:
the answer is just 2
Step-by-step explanation:
start at the -3 and move right 3 and up 6 this is a inclined line so the answer will be positive the fraction put the numbers into a rise over run fraction which will be 6/3 which will reduce to 2/1 which is 2.
Please help..........
See the attached picture:
what is the rational exponent from of this expression
Answer:
Step-by-step explanation:
√(c^5) is equivalent to c^(5/2) (the last answer choice).
1. What solid is represented by this net? (Image 1). A. cylinder B. triangular pyramid C. rectangular prism D. triangular prism E. cone F. rectangular pyramid 2. Choose all the solids from the list below. A. Rectangle B. Circle C. Cone D. Pyramid E. Prism F. Cylinder 3. The volume of the following figure = ___________ cm3. (Image 2) A. 288 B. 72 C. 216 D. 144
Answer:
c rectangular prism i think
Step-by-step explanation:
May someone help me with this please thanks!!
Answer:
1.57
Step-by-step explanation:
Circumference=2pi r
=2x3.14x.25
=1.57
Answer:
C = .5 pi inches
If we approximate pi by 3.14
C =1.57 inches
If we approximate pi by the pi button
C =1.570796327 inches
Step-by-step explanation:
The circumference of a circle is given by
C = 2* pi *r
C = 2 * pi * .25
C = .5 pi
If we approximate pi by 3.14
C =1.57 inches
If we approximate pi by the pi button
C =1.570796327 inches
Need help asap plz ill rate 5 star (only right answer please)
Answer:
[tex]6x^2 -x - 1[/tex]
By degree: Quadratic
By number of terms: Trinomial
[tex]3x + 4[/tex]
By degree: Linear
By number of terms: Binomial
[tex]2[/tex]
By degree: Constant
By number of terms: Monomial
Step-by-step explanation:
Given
[tex](x - \frac{1}{2})(6x + 2)[/tex]
[tex](7x^2 + 3x) -\frac{1}{3}(21x^2 - 12)[/tex]
[tex]4(5x^2-9x+7)+2(-10x^2+18x-13)[/tex]
Required
Simplify and categorize the result based on their degree and number of terms
Simplifying [tex](x - \frac{1}{2})(6x + 2)[/tex]
[tex]x(6x + 2) - \frac{1}{2}(6x + 2)[/tex]
Open bracket
[tex]6x^2 + 2x - 3x - 1[/tex]
[tex]6x^2 -x - 1[/tex]
By degree: Quadratic
By number of terms: Trinomial
Simplifying [tex](7x^2 + 3x) -\frac{1}{3}(21x^2 - 12)[/tex]
Open bracket
[tex]7x^2 + 3x -\frac{1}{3} * 21x^2 -\frac{1}{3}*- 12[/tex]
[tex]7x^2 + 3x -7x^2 + 4[/tex]
Collect like terms
[tex]7x^2-7x^2 + 3x + 4[/tex]
[tex]3x + 4[/tex]
By degree: Linear
By number of terms: Binomial
Simplifying [tex]4(5x^2-9x+7)+2(-10x^2+18x-13)[/tex]
Open brackets
[tex]4*5x^2-4*9x+4*7+2*-10x^2+2*18x-2*13[/tex]
[tex]20x^2-36x+28-20x^2+36x-26[/tex]
Collect like terms
[tex]20x^2-20x^2-36x+36x+28-26[/tex]
[tex]2[/tex]
By degree: Constant
By number of terms: Monomial
Which is the graph of g(x) = [X + 3]
Answer:
The "top center" one
Step-by-step explanation:
-y=x+3
-Use the slope-intercept form to find the slope and y-intercept. (y=mx+b)
m=1 b=3
-Slope: 1 , y-intercept: 3
X | y
-3 | 0
0 | 3
Then you can use a graphing calculator if you'd like !
Anna is saving to buy some souvenirs on a family vacation. She has already saved $125, and she saves another $2 from her allowance every day. Formulate and then graph the equation that models the total amount Anna saves, y, in terms of the number of days she adds to her savings, X.
Answer:
y = 2x + 125
Step-by-step explanation:
y = mx + c
c in this problem is $125.
It is the amount of money she has already saved, that is not going to change, so this is the y intercept.
She saves $2 every day, with the number of days being x.
So she saves $2 × x = 2x
2x is the gradient.
On your graph, your straight lien should run through 125 on the y-axis.
The line should have a gradient, or slope, of 2x.
Make sure to plot carefully, looking at the scale of the graph.
The equation is that the total amount Anna saves will be y = 2x + 125. And the graph of the line is drawn below.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Anna is saving to get a few keepsakes on a family excursion. She has previously saved $125, and she saves another $2 from her remittance consistently.
Let 'x' be the number of days and 'y' be the total cost. Then the equation is given as,
y = 2x + 125
The equation is that the total amount Anna saves will be y = 2x + 125. And the graph of the line is drawn below.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
Evaluate the given algebraic expressions replacing x with −2 and y with 1. 3x to the power of 2
Answer:
The answer is probably-36
Step-by-step explanation:
I don’t want the answer to this just how to work it out. The required staff to student ratio is 2:15. If 340 people attended the excursion, how many teachers were there?? Thanks
Answer:
40 teachers.
Step-by-step explanation:
The required staff to student ratio is 2:15340 people attended the excursion.We are to find the number of teachers (staff) who attended the excursion).
For every 2 staff, there are 15 students
The number of teachers who attended the excursion is [tex]\frac{2}{17}[/tex] × 340 = 40 teachers
The number of students who attended the excursion is [tex]\frac{15}{17}[/tex] × 340 = 300
Which of the following is a statistical question? A. How many students attend Natasha's school? B. How many players are on Greg's football team? C. What volume of milk is used to make cupcakes according to Paula's cookbook? D. What are the checking account balances of the shoppers in a grocery store?
Answer:
Step-by-step explanation: