Answer:
25.2 in
Step-by-step explanation:
The short piece will have a length that is 2/(2+3) = 2/5 of the entire usable length. The usable length is 60-2 = 58 inches long, so the cut will be ...
(2/5)(58 in) = 23 1/5 in
from the beginning of the usable part. Since the usable part of the ribbon starts 2 inches in, the cut will be 23 1/5 + 2 = 25 1/5 inches from the frayed end of the ribbon.
Answer:
25.2
Step-by-step explanation:
Correct on Edge 2020
If you get a loan of $1,500 at an interest rate of 10% and the monthly payment is $131.85, what is the new principal after the first payment? (please explain how you got it)
Answer:
The new principal after the first payment is $ 1,380.65
Step-by-step explanation:
1. We calculate the amount of interest to pay in the first payment, this way:
Interest = Amount of loan * (interest rate/months in a year)
Replacing with the real values we know:
Interest = 1,500 * (0.1/12)
Interest = 1500 * 0.0083 = $ 12.50
2. Now we subtract the Interest from the monthly payment, as follows:
Payment to principal = 131.85 - 12.50
Payment to principal = $ 119.35
3. Finally we subtract that 1st payment to principal from the initial principal to get the new principal, this way:
New Principal = 1,500 - 119.35
New Principal = $ 1,380.65
The new principal after the first payment is $ 1,380.65
– 2(– 3х + 4) + 3x — 3 = — 29
Answer:
x = - 2
Step-by-step explanation:
– 2(– 3х + 4) + 3x — 3 = — 29
6x - 8 + 3x - 3 = - 29
9x = - 29 + 8 + 3
9x = - 18
x = - 18 : 9
x = - 2
Answer:
x = -2
Step-by-step explanation:
– 2(– 3х + 4) + 3x — 3 = — 29 multiply -2 with inside the parenthesis remember negative sign multiplied by negative sign is positive
6x - 8 + 3x - 3 = - 29 add the like terms
9x - 11 = -29
9x = -29 + 11
9x = -18
x = -2
2/3 year is how many months
Answer:
2/3 of a year is 8 months.
Step-by-step explanation:
Since there is 12 months in a year, divide 12 by 3.
12÷3= 4
Now, multiply 4 by 2.
4×2= 8
This gives you the answer of 8 months.
Answer: 8 months
Step-by-step explanation: multiply denominator and numerator by 4 so it can be equivalent to 12 months.
A box measures 1 ft. long, wide, and 1/2 1/2 ft high. Find the volume in Inches .
Answer:
volume is 432 cubic inches
Step-by-step explanation:
A box measures 1 ft. long, 1/2 ftwide, and 1/2 ft high.
we need to find the volume of the box
Volume of the box formula is
[tex]volume = length \cdot width \cdot height\\[/tex]
convert all the measurement into inches
1 feet = 12 inches
1/2 feet = 6 inches
length = 12 inches, width = 6 inches , height = 6 inches
now we plug in the values in volume
[tex]volume = 12 \cdot 6 \cdot 6= 432 in^3[/tex]
Can you do 985.2 divided by 100
Answer:
OF course!Dividing by 100 just means move the decimal two places to the left, so the answer is 9.652
Step-by-step explanation:
Answer:
=9.852
Step-by-step explanation:
985.2/100
=9.852
HELP ASAP! what is the answer for 8x^2 + 25y?
Answer:
Step-by-step explanation:
There is no answer because this is a formula
We need an equation — something that equals something else
Assuming you mean
[tex]8x^2 + 25y = 0\\25y = -8x^2\\y = -\frac{8}{25}x^2[/tex]
Why wouldn’t you use a division to find an equivalent fraction for 7/15
To simplify a fraction by division you must have common factors between the denominator and the neominator to divide (or cancel) them
What is the answer to 1-2x=-3x+2
Answer:
x=1
Step-by-step explanation:
1-2x=-3x+2
-1=-x
1=x
Answer:
8
Step-by-step explanation:
plus 6 plus 3 look iam just trying to cheat I got stuff to do
If the 3 longest bulletin boards were side by side, what would their total length be?
The total length of the three longest bulletin boards when placed side by side would be 180 inches.
To calculate the total length of the three longest bulletin boards when placed side by side, we first need to determine the average length of a bulletin board and then multiply it by three.
The length of bulletin boards can vary widely depending on their purpose, but let's assume a standard size commonly found in schools or offices.
A typical bulletin board might measure around 4 feet (48 inches) in length.
However, some bulletin boards can be longer, reaching up to 6 or 8 feet.
Let's take a conservative estimate of 5 feet (60 inches) for our calculations.
So, if we have three bulletin boards each measuring 5 feet (60 inches) in length, the total length when placed side by side would be:
Total length = Length of one bulletin board × Number of bulletin boards
Total length = 60 inches × 3
Total length = 180 inches
Therefore, the total length of the three longest bulletin boards when placed side by side would be 180 inches.
Tom has read 2 books for school. Tom read 1/2 of the first book on Thursday and 5/12 of the second book on Friday. What total fraction of these two books has Tom read
Answer:
35/12
Step-by-step explanation:
1 1/2+1 5/12
=3/2+17/12
=3*6+17*1/12
=18+17/12
=35/12
Tom read a total of 11/12 of the two books combined by reading 1/2 of the first book and 5/12 of the second book, after finding a common denominator to add the fractions.
Explanation:To calculate the total fraction of the two books that Tom has read, we need to add the fractions of each book he has read together. Tom read 1/2 of the first book and 5/12 of the second book.
To add these fractions, they need to have a common denominator. The lowest common denominator between 2 and 12 is 12.
Therefore, we convert 1/2 into 6/12 so that both fractions have the same denominator.
Now, the fractions to be added are 6/12 (from the first book) and 5/12 (from the second book).
Adding these fractions, we get:
6/12 + 5/12 = 11/12
So, Tom has read a total of 11/12 of the two books combined. This method of finding a common denominator and then adding the numerators is an effective strategy to add fractions with different denominators, providing a clear, step-by-step approach to solving such problems in mathematics.
Find the volume of the program. Round to the nearest tenth if necessary
This is pretty much half the volume of a rectangular prism, so we multiply 4.8*2.5*3.4 to get 40.8 mm^3
Then we take half of that to get 20.4 mm^3
Hope that helped you to understand!
Compute $\sqrt{2\cdot 6^5 + 2\cdot 6^5 + 2\cdot 6^5}.$
Answer:
216
Step-by-step explanation:
1. √{6^6}
2. √(6^3)^2}
3.6^3
4.216
Mark me Brainliest!
Hope this helps!
-ShadyK
The value of the given expression is 216.
The given expression is,
[tex]\sqrt{2\cdot 6^5 + 2\cdot 6^5 + 2\cdot 6^5[/tex]
Square Root Computations:
The square root of a number is the number that we require to multiply by itself to obtain the original number
Now, solving the given expression as,
[tex]\sqrt{2\cdot 6^5 + 2\cdot 6^5 + 2\cdot 6^5}=\sqrt{2\cdot6\cdot6^4+2\cdot6\cdot6^4+2\cdot6\cdot^4}\\ =6^2\sqrt{12+12+12}\\ =36\sqrt{36}\\ =36\sqrt{4\cdot9}\\ =36\cdot2\cdot3\\=216[/tex]
Learn More information about the simplification:
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a book store cost $80 a day to keep open, and it spends $15 for each book that it sells. if each book sells for $23, what is the break-even point for this booksotre?
The break even point for this book store is 10
Solution:
Given that, book store cost $80 a day to keep open, and it spends $15 for each book that it sells
Cost to open the book store = $ 80
The formula for solving the break even point (BEP) is:
[tex]BEP = \frac{\text{Fixed cost}}{\text{Selling price - variable cost}}[/tex]
Fixed Cost is the cost that remains constant whether the services provided or products sold increases or decreases
Variable Cost is the cost that varies or differs in proportion to the products or services produced, whether they increased or decreased
In this problem,
Fixed cost = $ 80
Selling price = $ 23
Variable cost = $ 15
Therefore,
[tex]BEP = \frac{80}{23-15}\\\\BEP = \frac{80}{8}\\\\BEP = 10[/tex]
Thus break even point for this book store is 10
In order for the bookstore to continue its business, it should sell at least 10 books to meet its $80 cost
Answer:p=10
Step-by-step explanation:
3. Find the circumcenter of triangle EFG with E(2,6), F(2,4), and G(6,4)
(4,4)
(5,4)
(4,5)
(2,5)
Answer:
(4,5)
Step-by-step explanation:
We are to find the circumcenter of triangle EFG with vertices
E(2,6), F(2,4), and G(6,4)
Let S(x,y) be the circum center. Then this point is equidistance from E, F and
G
i.e. [tex]ES=FS=GS\\ES^2 =FS^2 =GS^2[/tex]
[tex](x-2)^2+(y-6)^2 =(x-2)^2+(y-4)^2 =(x-6)^2+(y-4)^2 \\i.e. x^2-4x+4+y^2-12y+36 = x^2-4x+4+y^2-8y+16 = x^2-12x+36+y^2-8y+16 \\4y = 20: y =5\\8x=32\\x=4[/tex]
Thus circumcenter is (4,5)
jeffery plans to rent a beach house for his sister's birthday and will use his savings pay for it. The company charges a $25.00 cleaning fee plus $10.00 per hour for the house . if he rents the house for 6 hours, what will be the change in jeffery's saving?
Answer:
-$85
Step-by-step explanation:
The charge will be $25 + ($10/h)(6 h) = $25 +60 = $85.
Jeffrey's savings will decrease by $85, so the net change is -$85.
Find the solution of the system of equations.
- 8x - 3y = 46
- 8x + 9y = 22
Answer:
x=-5, y=-2. (-5, -2).
Step-by-step explanation:
-8x-3y=46
-8x+9y=22
----------------
3(-8x-3y)=3(46)
-8x+9y=22
--------------------------
-24x-9y=138
-8x+9y=22
-------------------
-32x=160
x=160/-32
x=-5
-8(-5)-3y=46
40-3y=46
3y=40-46
3y=-6
y=-6/3
y=-2
Answer:
(-5, -2)
Step-by-step explanation:
You can find the solution to the system by either doing substitution or elimination. Since it is already it standard form, the easier way that I am showing you is elimination.
- 8x - 3y = 46 First you subtract! not add because you must
- 8x + 9y = 22 cancel 8 them out.
---- 6y=24
6 6
y=-2
to find x, just plug into either equation!
Aaron runs a distance of 7.2km in the SE direction. How Far East has Aaron run?
Which of the following is the value of f(3) in the function below? f(x)=2x-1
Answer:
F(3) = 2 * 3 - 1, which is 6 - 1 equaling 5.
Step-by-step explanation:
3 times 2 is six since you have to follow PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction). Multiplication is before Subtraction, and that is why we multiply 2 and 3 first, since 3 replaces the variable x. After multiplying 2 and 3 to get 6, subtract by 1 to get 5.
Answer: 5
the arlington drama club is selling tickets to an upcoming play. They can sell at most 250 tickets. The adult tickets for $15 each and student tickets costs $5 each. They would like to raise at least $2000. It x represents the number of adult tickets and y represents the number of student tickets.
Number of adult tickets = 75
Number of student tickets = 175
Solution:
Let x represents the number of adult tickets and
y represents the number of student tickets.
Total number of tickets sold = 250
⇒ x + y = 250 – – – – (1)
Cost of adult ticket = $15
Cost of student ticket = $5
Total cost of collection = $2000
15x + 5y = 2000 – – – – (2)
Multiply equation (1) by 5
⇒ (1) × 5 5x + 5y = 1250 – – – – (3)
Subtract equation (3) from equation (2), we get
15x + 5y – 5x – 5y = 2000 – 1250
⇒ 10x = 750
⇒ x = 75
Substitute x = 75 in equation (1), we get
⇒ 75 + y = 250
⇒ y = 250 – 75
⇒ y = 175
Number of adult tickets = 75
Number of student tickets = 175
Test corner points for maximum revenue. The optimal solution is 250 adult tickets and 0 student tickets, yielding $3750.
To solve this problem, let's set up the equations based on the given information:
1. The total number of tickets sold cannot exceed 250:
[tex]\[ x + y \leq 250 \][/tex]
2. The total revenue must be at least $2000:
[tex]\[ 15x + 5y \geq 2000 \][/tex]
Now, let's solve this system of inequalities step by step:
Step 1: Graph the constraints:
Let's graph the lines corresponding to the equations:
x + y = 250 and 15x + 5y = 2000
Step 2: Find the feasible region:
The feasible region is the area that satisfies all the given constraints. In this case, it will be the region below or on the lines ( x + y = 250 ) and ( 15x + 5y = 2000 ), and within the boundaries of the axes.
Step 3: Identify the corner points:
The corner points of the feasible region are the points where the lines intersect or touch the boundary lines.
Step 4: Test the corner points:
Substitute the coordinates of each corner point into the objective function (the total revenue) to find which one yields the maximum revenue.
Let's start with the calculations:
1. **Graph the constraints:**
We'll need to find the intercepts of each line and draw them on the graph.
For ( x + y = 250 ):
When ( x = 0 ), ( y = 250 )
When ( y = 0 ), ( x = 250 )
For ( 15x + 5y = 2000 ):
When ( x = 0 ), ( y = 400 )
When ( y = 0 ),[tex]x = \frac{2000}{15} = \frac{400}{3} \)[/tex]
Now, let's plot these points and draw the lines.
2. **Find the feasible region:**
Shade the region below or on the lines ( x + y = 250 ) and ( 15x + 5y = 2000 ), and within the boundaries of the axes.
3. **Identify the corner points:**
The corner points of the feasible region are the points where the lines intersect or touch the boundary lines.
4. **Test the corner points:**
Substitute the coordinates of each corner point into the objective function ( R = 15x + 5y ) to find which one yields the maximum revenue.
Let's calculate the corner points:
Corner Point 1: (0, 0)
[ R = 15(0) + 5(0) = 0 ]
Corner Point 2: (250, 0)
[ R = 15(250) + 5(0) = 3750 ]
Corner Point 3: (0, 400)
[ R = 15(0) + 5(400) = 2000 ]
Now, let's compare the revenues:
- Corner Point 1: $0
- Corner Point 2: $3750
- Corner Point 3: $2000
The maximum revenue is $3750, which occurs at the corner point (250, 0).
Therefore, to maximize revenue while satisfying the given constraints, the Arlington Drama Club should sell 250 adult tickets and 0 student tickets.
What is the prime factorization of 35? 1 • 35 12 • 5 • 7 1 • 5 • 7 5 • 7
Answer:
5·7
Step-by-step explanation:
From your knowledge of multiplication tables, you know that ...
5×7 = 35
Both 5 and 7 are prime numbers, so that is the prime factorization.
What is an equivalent fractions to 5/12
Answer:
exact form is 5/12
decimal form is 0.416666
Step-by-step explanation:
Equivalent fractions are fractions that have the same value or proportion. To find an equivalent fraction to a given fraction, you multiply or divide both the numerator and the denominator by the same number. Therefore, 10/24 and 15/36 are equivalent fractions to 5/12.
Explanation:To find an equivalent fraction to 5/12, you simply multiply or divide both the numerator (the top number) and the denominator (the bottom number) by the same non-zero number. An equivalent fraction will have a different numerator and denominator, but it will represent the same value or proportion. For example, if we multiply both the numerator and the denominator of 5/12 by 2, we get 10/24. Therefore, 10/24 is an equivalent fraction to 5/12.
Similarly, if we multiply 5 (the numerator) and 12 (the denominator) by 3, we get the equivalent fraction 15/36.
So, 5/12 = 10/24 = 15/36 in terms of value or proportion.
Learn more about Equivalent Fractions here:https://brainly.com/question/23075364
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The diagram represents the factorization of x2 – 9x + 18. It is partially completed.
A 2-column table with 2 rows. First column is labeled x with entries x squared, question mark. Second column is labeled negative 3 with entries question mark, 18. First row is labeled x with entries x squared, question mark. Second row is labeled negative 6 with entries question mark, 18.
Which two terms are missing from the diagram?
–x and –8x
–2x and –7x
–3x and –6x
–4x and –5x
Answer:
The missing terms are - 3x and - 6x.
Step-by-step explanation:
The table represents the factorization of x2 – 9x + 18. It is partially completed.
So, the unknown term in the first row and second column will be the product of -3 and x i.e. -3x.
And the unknown term in the second row and first column will be the product of -6 and x i.e. -6x.
Therefore, the missing terms are - 3x and - 6x. (Answer)
The two terms that are missing in the diagram are –3x and –6x
How to determine the missing term Method 1The two missing term can be obtained as follow:
Multiply –3 and x together. The result is –3xMultiply –6 and x together. The result is –6xThus, the two missing term are –3x and –6x
Method 2The missing term can be obtained by doing a partial factorisation of the expression. This can be obtained as follow:
x² – 9x + 18
Multiply the 1st term (i.e x²) and the last term (i.e 18) together. The result is 18x².Find the two factors of 18x² such that the sum of the factors is equal to –9xThe factors are –3x and –6xSubstitute –3x and –6x in place of –9x in the equation above. We havex² – 9x + 18
x² – 3x – 6x + 18
Thus, the missing terms are –3x and –6x
Complete question:
See attached photo
Learn more about factorisation:
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what is the total sum of x=56y
What simplified ratio correctly compares 27 feet to 36 feet?
The simplified ratio that correctly compares 27 feet to 36 feet is 3:4
Step-by-step explanation:
Step 1: Simplify the ratio by finding common factor
Step 2: Here, in this case the lowest common factor is 3. Divide both numerator and denominator by 3.
⇒ 27/36 = 9/12 (on dividing by 3)
⇒ 9/12 = 3/4 (again on dividing by 3)
To cover his rectangular backyard, Will needs at least 170.5 square feet of sod. The length of Will's yard is 15.5 feet. What are the possible widths of Will's yard?
Answer:
11 feet
Step-by-step explanation:
Area of rectangle (170.5cm) = length (15.5) x width
170.5/15.5=width
Width = 11
Hope this helps! :)
Which of these strategies would eliminate a variable in the system of equations?
\begin{cases} 8x + 5y = -7 \\\\ -7x + 6y = -4 \end{cases}
⎩
⎪
⎪
⎨
⎪
⎪
⎧
8x+5y=−7
−7x+6y=−4
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
Multiply the top equation by 666, multiply the bottom equation by -5−5minus, 5, then add the equations.
(Choice B)
B
Multiply the bottom equation by 888, then add the equations.
(Choice C)
C
Multiply the top equation by 777, then add the equations.
Multiply the top equation by 6 and and the bottom equation by –5 and then add the equations is the correct answer.
Solution:
Given system of equations:
8x + 5y = –7 – – – – (1)
–7x + 6y = –4 – – – – (2)
Multiply top equation by 6 and and bottom equation by –5
(1) × 6 ⇒ 48x + 30y = –42
(2) × –5 ⇒ 35x – 30y = 20
Now add these two equations, we get
(48x + 30y) + (35x – 30y) = –42 + 20
48x + 35x + 30y – 30y = –42 + 20
83x = –20
The variable y is eliminated.
Therefore Multiply the top equation by 6 and and the bottom equation by –5 and then add the equations is the correct answer.
Answer:
Multiply the top equation by −5, then add the equations.
Step-by-step explanation:
Did it on Khan Academy
What is 20 = f - 27.
Answer: 47
Step-by-step explanation:
Just add 27 and 20 then you get f
Just use inverse operations
Item 16
A rectangular garden is 5 feet long and 3 feet wide. A second rectangular garden has dimensions that are double the dimensions of the first garden. What is the percent of change in perimeter from the first garden to the second garden?
Percentage change in perimeter is 100%.
Step-by-step explanation:
Step 1: Given length of rectangle 1, length = 5 ft and breadth = 3 ft.Calculate perimeter of R1 = 2 (length + breadth) = 2 (5 + 3) = 16 ft
Step 2: Given dimensions of 2nd rectangle is twice the first, length = 10 ft and breadth = 6 ft.Calculate perimeter of R2 = 2 (10 + 6) = 32 ft
Step 3: Calculate percentage change using the formula, (R2 - R1/R1) [tex]\times[/tex] 100= (32 - 16/16) [tex]\times[/tex] 100 = 100%
If the side of the square measures 14 mm, what is the length of y?
What is the area of the square?
A circle circumference is approximately 76 cm estimate the radius diameter and area of the circle
Answer: r = 12.1cm, d = 24.2cm, Area = 460.0cm²
Step-by-step explanation:
From the formula,
Circumference of a circle = πd or 2πr.
To find the radius, we have to equate 76 cm to πd or 2πr and make r or d the subject of the formula. Now
76 = 2πr, don't forget that
π = 22/7 or 3.142
Now make r the subject of the formula
r = 76/2π
= 76/2 x 3.142
= 76/6.284
= 12.1 cm
d = 2r
= 2 x 12.1
= 24.2cm.
Area of the circle is πr²
= 3.142 x (12.1)²
= 3.142 x 146.41
= 460.0 cm²