Problem 1
A = 5! = 5*4*3*2*1 = 120 ways to arrange the math books
B = 4! = 4*3*2*1 = 24 ways to arrange the French books
C = 2! = 2*1 = 2 ways to arrange the biology books
D = 3! = 3*2*1 = 6 ways to arrange the three blocks of books, each block a different subject
E = A*B*C*D = 120*24*2*6 = 34560 different ways to arrange the books such that the subjects stick together
-------------
Answer: 34560========================================
Problem 2
Group all the math books to form one "book". This is the same as taking out the 5 math books and replacing it with one single math book. This single math book acts as a placeholder for all of the five books together as one block.
We have
1 math "book"
4 French books
2 biology books
So there are 1+4+2 = 7 "books" total and
7! = 7*6*5*4*3*2*1 = 5040 different ways to arrange those "books"
Within the math block of books, there are 5! = 120 ways to arrange things.
So overall we have 120*5040 = 604800
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Answer: 604800triple 9, then multiply 7 by the result in an EXPREESION.
Answer:
27 x 7=X
Step-by-step explanation:
Answer:
Step-by-step explanation:
7+7+7=21*7=147
Pleaseeee helpppp...
Answer:
The Proof is given below.
Step-by-step explanation:
Given:
1.[tex]\overline{ZW}\ ||\ \overline{YX}[/tex]
2.[tex]\overline{ZW} \cong \overline{YX}[/tex]
To Prove:
Δ XYZ ≅ Δ ZWX
Proof:
[tex]\overline{ZW}\ ||\ \overline{YX}[/tex].........{given}
∴ ∠ WZX ≅ ∠YXZ ...{if lines are parallel then alternate angles are equal}..( 1 )
Now, In Δ XYZ and Δ ZWX
XY ≅ ZW ……….{Given}
∠ YXZ ≅ ∠ WZX ..……..{ Alternate Angles Property or From ( 1 )}
XZ ≅ ZX ……….{Reflexive Property}
∴ Δ XYZ ≅ Δ ZWX ….......{By Side-Angle-Side test}
..Proved
Use mental math. A resort has 380 rooms with space for 6 people. Estimate the greatest number of people who could be in these rooms at the same time. Explain your thinking to a friend or family member. (Don’t do the last part. That was just in the instructions T-T)
Answer:
6 people
Step-by-step explanation:
Since the resort has 380 rooms with space for 6 people, only 6 people can be in these rooms at the same time.
Note: It was not said that each room has space for 6 people but the hotel has space for 6 people
Irrespective of the number of rooms available, the space limit is 6, hence not more than 6 people can be accommodated.
3x + 2y = 12
2x + 5y = 8
process of elimination? how do I get the answer for this kind of question?
Answer:
(4, 0)
Step-by-step explanation:
To use elimination, you need to make the coefficients of one of the variables the same in each equation. For example, we can multiply the first equation by 2 and the second equation by 3:
6x + 4y = 24
6x + 15y = 24
Now we can subtract the equations, eliminating the x terms.
(6x + 15y) − (6x + 4y) = 24 − 24
11y = 0
y = 0
Now plug into either equation to find x.
3x + 2y = 12
3x + 0 = 12
x = 4
8+5y=(8y-6)-7 how to work it out
the solution is y = 7
Step-by-step explanation:
Given equation is
[tex]8+5y=(8y-6)-7[/tex]
The equation has to be solved for y
So,
Opening brackets first
[tex]8+5y=8y-6-7\\8+5y=8y-13[/tex]
Subtracting 8 from both sides
[tex]8+5y-8=8y-13-8\\5y=8y-21[/tex]
subtracting 8y from both sides
[tex]5y-8y = 8y-21-8y\\-3y=-21y[/tex]
Dividing both sides by -3
[tex]\frac{-3y}{-3} = \frac{-21}{-3}\\y = 7[/tex]
so,
the solution is y = 7
Keywords: Linear equation, variables
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I completed 2/3 of my project last month and 1/4 of it this week what fraction is completed
Answer: [tex]\frac{11}{12}[/tex]
Step-by-step explanation:
Since we are looking for the total fraction completed , all we need do is to add the fraction completed last month and the fraction completed this week , that is
[tex]\frac{2}{3}[/tex] + [tex]\frac{1}{4}[/tex]
The L.C.M is 12 , so we have
[tex]\frac{2}{3}[/tex] + [tex]\frac{1}{4}[/tex] =[tex]\frac{8 +3}{12}[/tex]
= [tex]\frac{11}{12}[/tex]
Therefore 11/12 is completed
Answer:
You completed 11/12 of your project.
Step-by-step explanation:
Change into a common denominator: 2/3 = 8/12 and 1/4 = 3/12
8/12 + 3/12 = 11/12
Cheryl is organizing her movie collection. If each movie case is
7 inch wide, how many movies can fit on a shelf 5 feet wide?
Answer:
The number of movies that can can fit on shelf of 5 feet is 9 .
Step-by-step explanation:
Given as :
The measure of each movies case = 7 inches wide
Let the number of movies for 5 feet wide = n
Now ,
∵ 1 feet = 12 inches
∴ 5 feet = 12 × 5 = 60 inches
I.e 5 feet = 60 inches
Now, Again
For 7 inches wide , the number of movies = 1
So, for 1 inch wide case, the number of movies = [tex]\frac{1}{7}[/tex]
∴ For 60 inches wide case, the number of movies = [tex]\frac{1}{7}[/tex] × 60
I.e For 60 inches wide case, the number of movies = 8.57 ≈ 9
Hence the number of movies that can can fit on shelf of 5 feet is 9 . Answer
You begin with $90 in your savings account and your friend begins
with $35 in her savings account. You deposit $10 in savings each
week, and your friend deposits $15 in savings each week.
Answer:
Your friend is wrong.
Step-by-step explanation:
Your total money: y= 10x+9
Friend's total money: y=15x+35
10x+9=15x+35 --> x=weeks=10
190=185
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
D.
Step-by-step explanation:
Find the number of roots for each equation.
5. 5x4 + 12x3 – x2 + 3x + 5 = 0
Answer:
The number of roots for equation [tex]5x^4 + 12x^3 – x^2 + 3x + 5 = 0[/tex] is 4 .
Step-by-step explanation:
Here, the given function polynomial is :
[tex]P(x) : 5x^4 + 12x^3 – x^2 + 3x + 5 = 0[/tex]
The Fundamental Theorem of Algebra says that a polynomial of degree n will have exactly n roots (counting multiplicity).
Now here, the degree if the polynomial is 4 (highest power of variable x).
So, according to the Fundamental Theorem, the given polynomial can have AT MOST 4 roots, counting Multiplicity.
Hence, the number of roots for equation [tex]5x^4 + 12x^3 – x^2 + 3x + 5 = 0[/tex] is 4 .
Jamie buys 3 snacks and 2 bottles of juice.
Each snack costs $0.75, and each bottle of juice costs j dollars.
The total cost of the snacks and bottles of juice is $6.75.
Which of the following equations could be used to find the cost of a bottle of juice, in dollars?
(A) 0.75 + 2= 6.75
B 2.25 +2j = 6.75
c (3 (0.75 + 2) = 6.75
D) 5 (0.75 +j) = 6.75
Answer:
B is the only possible answer
Step-by-step explanation:
A - 0.75+2 doesn't equal 6.75
C - 3*2.75 = 8.75 not 6.75
D - there is two juice bottles not one so it should be 2j not just j
And thank you
Solve.
5. During the summer, Jayden
volunteers at the library for 20 hours
each week for 7 weeks. How many
hours does Jayden volunteer in all?
Answer:
140 hours
Step-by-step explanation:
Because you do 20 hours times 7 weeks because it says in all so you do 20 times 7 which equals 140 hours
Which situation is best modeled by the equation
7-x=3?
CLEAR
CHECK
You spend $7 to enter a theme park, and then $3 per ride.
Three friends each get an equal share of the $7 they
earned.
You have some money left after you spend $7 and $3.
The price of a book, $7, was lowered by some amount to
$3.
Answer:
Step-by-step explanation:
The last one
The equation 7 - x = 3 is best modeled by the situation where the original price of a book at $7 is lowered by an amount of $4 to reach the final price of $3.
The given equation 7 - x = 3 can be used to model a situation where the price of a book, originally $7, is reduced by some amount to $3. After solving the equation by subtracting 7 from both sides and then multiplying by -1, we get x = 4. This means the amount reduced from the original price is $4, which is consistent with a price reduction scenario: the book's original price was $7, and it was reduced by $4, bringing the final price to $3.
Select the correct expressions and value.
Identify the expressions and the value equivalent to 4 times 3 cubed.
3x3°) 4 x 3" 108 243
4x3*3*3] 3x4x4x4 4+3+3+3]
Answer:
Step-by-step explanation:
4*3^3=4*3*3*3=4*9*3=4*27=108
How to draw two lines with slope 3/4
Just make sure that the line goes 4 unit to the right as it goes 3 units up.
If you have a grid you need to fill in you can plot these points, and pass through them with a line.
y=3/4x: (0,0) and (4,3)
y=3/4x+1: (0,1) and (4,4)
Write the equations in Word form:
(2x8) - (3x3)
Answer:
Three multiplied by three in parentheses subtracted from two multiplied by eight in parentheses.
Answer:
the product of two and eight minus the product of three and three
Step-by-step explanation:
COEFFICIENT for 4x + 6
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
(2x^3-4x^2-3x-9) ÷ x-3
Answer:
2x squared + 2x + 3
Step-by-step explanation:
you can either use synthetic division or use long division. either way will work. search up synthetic and long division on y___ube and you should get it
Enter the indicated element.
[tex]a_{1,3} = 9[/tex]
Step-by-step explanation:
The elements of matrices are represented in the form
[tex]a_{r,c}[/tex]
Here r is the row number and c is the column number.
Given matrix is:
[tex]A = \left[\begin{array}{ccc}3&6&9\\2&4&8\end{array}\right][/tex]
The elements of matrix will be represented by a_{r,c}
We have to find [tex]a_{1,3}[/tex]
Which means that the first row and third column.
The first row is: 3 6 9 and the element in third column is: 9
So,
[tex]a_{1,3} = 9[/tex]
Keywords: Matrices, Elements
Learn more about matrices at:
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please solve with working much appreciated!
Answer:
Step-by-step explanation:
First you need to find the are between everything
So SA= 1/2 length time width.
I am also pretty sure then you find the circumference and diameter of a circle.
The answer is 153 degrees
What 5 fractions are between -8/10 and -4/5
Final answer:
The student's request for fractions between -8/10 and -4/5 cannot be fulfilled because these two fractions are equivalent. To provide a meaningful answer, it's assumed that the intended question is to find fractions between -8/10 and -9/10, for which examples are given.
Explanation:
The question is asking for five fractions that are between -8/10 and -4/5. First, notice that -8/10 is equivalent to -4/5, so we actually need to find fractions between two identical values. This is not possible as no fractions can exist between two identical numbers. However, assuming that the question intends for incremental fractions between two different numerators with the same denominator, we could consider finding fractions between -8/10 and -9/10, or between -7/10 and -8/10.
For simplicity, let's find five fractions between -8/10 and -9/10:
-17/20
-18/20
-19/20
-39/40
-79/80
These fractions are chosen because they simplify to values that lie between -8/10 and -9/10 when reduced to the same denominator.
How do you use descriptive property to solve 48÷3
Answer:
16
Step-by-step explanation:
48/3=16
2y+3y-6(y+2)=-y+6 solve for y
Answer:
No solution.
Step-by-step explanation:
Add similar elements: 2y + 3y = 5y
5y - 6 (y + 2) = -y + 6
Apply the distributive Law:
6y - 6 x 2 = 6y - 12
5y - 6y - 12 = -y + 6
Add similar elements: 5y - 6y = -y
-y - 12 = -y + 6
Add 12 to both sides:
-y - 12 + 12 = -y + 6 + 12
Simplify:
-y = -y + 18
Add y to both side:
-y + y = -y + 18 + y
Simplify:
0 = 18
No Solution
Hope this helps
During the first half of a college basketball game, 24,196 people entered the athletic center. During the second half, 2,914 people left and 4,819 people entered. How many people were in the athletic center at the end of the game?
There were 26,101 people in the athletic center at the end of game.
Step-by-step explanation:
Number of people entered = 24196
Number of people left during second half = 2914
Remaining people = 24196 - 2914 = 21282
People entered during second half = 4819
Total people at the end of game = Remaining people + People entered during second half
Total people at the end of game = [tex]21282+4819=26101[/tex]
There were 26,101 people in the athletic center at the end of game.
Keywords: subtraction
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What is the slope intercept for 7x + 8y = -48
The slope-intercept form for given equation is:
[tex]y = -\frac{7}{8}x-6[/tex]
Step-by-step explanation:
Given equation is:
[tex]7x+8y = -48[/tex]
The given equation is in standard form. The slope-intercept form is:
[tex]y =mx+b[/tex]
Ao, to convert the given equation to slope-intercept form
Subtracting 7x from both sides
[tex]7x-7x+8y = -7x-48\\8y = -7x-48[/tex]
Dividing both sides by 8
[tex]\frac{8y}{8} = \frac{-7x-48}{8}\\y=-\frac{7}{8}x-\frac{48}{8}\\y = -\frac{7}{8}x-6[/tex]
The slope-intercept form for given equation is:
[tex]y = -\frac{7}{8}x-6[/tex]
Keywords: slope-intercept form, Standard form of equation
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simplify
-4(11+4n)-3(-2n+9)
Answer:
-71-10n
Step-by-step explanation:
-4(11+4n)-3(-2n+9)
-44-16n+6n-27
-44-27-10n
-71-10n
3. Sherri bought a package of pens that contained 15 pens. How many packages should she
buy if she needs 240 pens?
Answer:
16 packages
Step-by-step explanation:
240 / 15 = 16 packs
You have 6 donuts and you want to give 2/3 of them to a friend and keep 1/3 for yourself. How much of the whole pan of brownies did John eat.
Answer:
None
Step-by-step explanation:
DONUTS CANNOT BECOME BROWNIES
Answer:
John ate 2 donuts for himself and gave 4 donuts to friend.
Step-by-step explanation:
(2/3)*6=4
6-4=2
Please help
AB=AD and BC=DC
Answer:
The value of x in the given figure is 110°
Step-by-step explanation:
Here, In ΔABD,
AB=AD and ∠ ABD = 35°
Now, ANGLES OPPOSITE TO EQUAL SIDES ARE EQUAL.
As, AB=AD
⇒ ∠ ABD = ∠ ADB = 35°
Now, In ΔABD, by ANGLE SUM PROPERTY:
∠ ABD + ∠ ADB + ∠ DAB = 180°
⇒ 35° + 35° + x = 180°
or, x = 180° - 70° = 110°
⇒ x = 110°
Hence, the value of x = 110°
Answer:
110
Step-by-step explanation:
Since AB=AD, AB = 35 so that means AD = 35. 35+35=70. A triangle is 180, so 180-70=110
F(x) = -3x +20; f(8)
Answer:
f(8)=-4
Step-by-step explanation:
f(x)=-3x+20
f(8)=-3(8)+20
f(8)=-24+20
f(8)=-4