Answer:
31
Step-by-step explanation:
Part A: Find the LCM of 7 and 8. Show your work. (3 points)
Part B: Find the GCF of 54 and 81. Show your work. (3 points)
Part C: Using the GCF you found in Part B, rewrite 54 + 81 as an expression of two factors. One factor is the GCF and the other is the sum of two numbers that do not have a common factor. Show and explain your work.
Answer:
Part A:
LCM of 7 and 8 is 56.
7*8 = 56
-------------------------------------
Part B:
GCF of 54 and 81 is 27.
54: 1, 2, 3, 6, 9, 18, 27, 54.
81: 1, 3, 9, 27, 81.
-------------------------------------
Part C:
GCF of 54 and 81 is 27.
54 / 27 = 2
81 / 27 = 3
Final expression: 27(2 + 3)
Answer:
Part A: 56
Work:
7: 7, 14, 21, 28, 35, 42, 49, 56
8: 8, 16, 24, 32, 40, 48, 56, 64
Part B: 27
Work:
54: 54, 27, 9, 3, 1
81: 81, 27, 9, 3, 1
Part C: 27(2+3)
Work:
27×2 = 54
27×3 = 81
(27×2)+(27×3) = 54+81
(27×2)+(27×3)=27(2+3)
Explaining work:
First you find the numbers that multiply the GCF by to get the product (for 54 it is 2 and for 81 it is 3). Then you replace the the products with the equations (27×2) for 54 and (27×3) for 81 to get (27×2)+(27×3). Then simplify to get 27(2+3).
will mark brainleist pls hep
Answer: 242
Brainliest plsssssss
What are the domain and range of the function below? Domain[0, ∞). range (-∞, ∞). Domain[0, ∞). Range (-∞,4). Domain(0,4). Range (-∞, ∞). Domain(-∞,4]. Range[0, ∞).
HELP IMMEDIATELY PLEASE
Answer:
Domain[0, ∞). Range (-∞,4).
Step-by-step explanation:
domain is your lowest x (zero) to your highest x (infinity)
range is the lowest y (negative infinity) to your highest y (four)
Answer:
its b
Step-by-step explanation:
65,754.59 round it to the nearest tenth
Answer:
65,754.6
Step-by-step explanation:
When rounding, the last digit is number you need to observe. If the digit is less than 5 (4,3,2,1), then round down. If it is 5 or greater, then round up.
how to evaluate in math?
HELP PLEASE
what is 65% more of 140
65% more than 140 is 231
34x+24x^2=35+57y
Solve for x
1) Move all terms to one side.
[tex]34x+24x^{2} -35-57y=0[/tex]
2) Use Quadratic Formula.
[tex]x=\frac{-34+2\sqrt{1368y+1129} }{48} ,\frac{-34-2\sqrt{1368y+1129} }{48}[/tex]
3) Simplify solutions.
[tex]x=-\frac{17-\sqrt{1368y+1129} }{24} ,-\frac{17+\sqrt{1368y+1129} }{24}[/tex]
Examine Kaitlyn’s steps for solving the system of equations. â€"3x 2y = 8 3x 2y = â€"6 Step 1: 4y = 2 Step 2: y = 2 Step 3: â€"3x 2(2) = 8 Step 4: â€"3x = 4 Step 5: x = â€"1. 333 Kaitlyn found the solution to be (1. 3, 2). Is her solution correct? Explain. Yes, she correctly solved the system of equations. No, she made an error in step 1. The y variable should have been eliminated when adding the system of equations. No, she made an error in step 2. She should have found y = 0. 5. No, she substituted y into the wrong equation to solve for x in step 3.
The error made by Kaitlyn when solving the system of equations is in step 2. Her solution will be incorrect.
The right option will be: No, she made an error in step 2. She should have found y = 0. 5.
Given the system of linear equations:
-3x + 2y = 8 ---> eqn. 1
3x + 2y = -6 ---> eqn. 1
First add both equations together:
Step 1: 4y = 2
Next, divide both sides by 4:
Step 2: y = 2/4
y = 0.5
Kaitlyn got y = 2 instead of 0.5 in this second step. The solution she would get will be incorrect since an error has occurred here.Therefore, the error made by Kaitlyn when solving the system of equations is in step 2. Her solution will be incorrect.
The right option will be: No, she made an error in step 2. She should have found y = 0. 5.
Learn more about system of equations on:
https://brainly.com/question/11767839
The formula for determining the frequency, f, of a note on a piano is mc016-1. Jpg, where h is the number of half-steps from the A above middle C on the keyboard. A note is six half-steps away from the A above middle C. The frequency of the A above middle C is 440 Hz. How much greater is the frequency of the new note compared with the frequency of the A above middle C? 29. 3% 41. 4% 70. 7% 182. 3%.
Answ
its a just did this
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Please help, I don’t understand this and I did this from a while ago but I’m still confused on how to do it now.
Answer:
A.) -3p +8
b.) (10/p) -3
3.)
a.) -3(5)+8= -7
b.) (10/5)-3= -1
Step-by-step explanation:
For A and B you just have to read it over and over until you understand what is happening. A tip is when it says "fewer than" then that number usually goes after the second part of the statement.
For 3 it is asking you to plug 5 in for the value of p and solve.
Hope this helps:) Have a good day!
Adam is planning a pool party to celebrate the last day of school. He wants to give out beach towels to his guests as party favors. Adam ordered 14 beach towels from Sunshine Party Supply. Since this was a bulk order, Sunshine Party Supply reduced the price of each towel by $3.25. Adam paid $105 in all. How much does Sunshine Party Supply normally charge for a beach towel?
Answer:
10.75
Step-by-step explanation:
first step is to find how much adam paid for each towel
so, the equation used will be x/y=c
where x is total cost, y is number of products bought, and c equals individual cost (with discount)
we end up with 105/14= 7.5$ per towel.
and to close out, we add the given discount of 3.25 to the discounted price of 7.5
which brings the usual price per towel to 10.25
Answer:
Step-by-step explanation:
Here is a free 100 points annnnd brainliest
This question is about strategy
Skill
Precision
Alr here it is:
Problem one: Molly bought and infinite amount of bottles of dish soap. She had an infinite amount of money. When she bought the dish soap, she lost all of it.
How is this possible?
Problem one (part two): Molly then called her friend Blitzo over. Blitzo then gave Molly and infinite amount of money without losing all of his money.
How is this possible
If you have questions or want hints, ask in comments below this question
1. She bought the infinite dish soap with her money
2. you can't lose anything infinite
3. remeber our deal? brainliest pls.
a) A triangular plot is being constructed having its base twice to its altitude. What will be the base and altitude of the plot if the cost of levelling it at the rate of ₹25 per square meter is ₹11,025.
b)If the same plot from above question is being reconstructed into a square field, having the same area, then find the perimeter of square
THE BEST ANSWER WILL BE MARKED BRAINLIEST PLEASE GIVE PROPER ANSWER
THANK U
The base and altitude of the triangular plot are [tex]42m[/tex] and [tex]21m[/tex] respectively.
The perimeter of the square plot having the same area as the triangular plot is [tex]84m[/tex]
a) Calculate the base and altitude of the triangular plot
The relationship between the Total cost of leveling the triangular plot, the cost per unit area, and the area of the triangular plot is
[tex]\text{unit cost}=\frac{\text{total cost}}{\text{area}}\\\\\text{area}=\frac{\text{total cost}}{\text{unit cost}}\\\\=\frac{\text{11025Rs.}\rupee}{25Rs./m^2}=441m^2[/tex]
The formula for calculating the area of a triangle, given the base and altitude is
[tex]\text{area of triangle}=\frac{1}{2}\text{base}\times\text{altitude}[/tex]
From the question
[tex]\text{base}=2\times\text{altitude}[/tex]
so
[tex]\text{area of triangle}=\frac{1}{2}\times 2\times\text{altitude}\times\text{altitude}\\\\\text{area of triangle}=\text{altitude}^2\\441=\text{altitude}^2\\\text{altitude}=\sqrt{441}=21m[/tex]
from this we can get the base
[tex]\text{base}=2\times\text{altitude}\\=2\times21m=42m[/tex]
b) Calculate the perimeter of a square plot having the same area
Since we found the area of the triangular plot to be [tex]441m^2[/tex], we will use this value for the area of the square plot, so that we can obtain the side
[tex]\text{area of square plot}=side^2\\441=side^2\\\sqrt{441}=side=21m[/tex]
Hence, the perimeter is equal to
[tex]perimeter=4\times side\\=4\times21=84m[/tex]
Learn more about area here: https://brainly.com/question/1447350
Make y the subject of the formula
12m + 24y = 20
Answer: m=5/3-2y or if your solving for y y=-m/2+5/6
Step-by-step explanation:
Answer:
y = 5/6 - m/2
Step-by-step explanation:
4(3m + 6y) = 20
3m + 6y = 5
6y = 5 - 3m
y = 5/6 - 3m/6
y = 5/6 - m/2
12 divided by -3 is what?
what are the possible roots for:
f(x)=x^ 4 +2x^ 3 +8x^ 2 +80x- 128
trust my answer like it
what is 110/12- 28/12 as an improper fraction
Answer:
82/12
Step-by-step explanation:
solve the following x2-2x-24=0
Answer:
[tex]x=6[/tex] and [tex]x=-4[/tex]
Step-by-step explanation:
[tex]x^2-2x-24=0[/tex]
[tex](x-6)(x+4)=0[/tex]
[tex]x=6[/tex] and [tex]x=-4[/tex]
10) $48,000 at 16% for 6 years
Answer:
No solution
Step-by-step explanation:
idek
The ratio of three number is 5:6:7. If the sum of the numbers is 54. What
are the numbers?
[tex]5x + 6x + 7x = 54 \\ = > 18x = 54 \\ = > x = 3[/tex]
So, the numbers are (5 × 3) i.e., 15, (6 × 3), i.e., 18, (7 × 3), that is 21.Answer:
The numbers are 15, 18 and 21.
Hope you could get an idea from here.
Doubt clarification - use comment section.
find the sum of that amount to RS 9144 in 3 years at 9%per year simple interest
ANSWER:
4937.76
Step-by-step explanation:
I=PRT
I=9144*0.09*9
I=4937.76
The focus of the parabola -40x = y2 is:
(-10, 0)
(0, -10)
(0, 10)
(10, 0)
Answer:
Option A: (-10,0)
Step-by-step explanation:
The given equation of the parabola is in the form of [tex]y^2=4ax[/tex] where the focus is located at [tex](a,0)[/tex]. Therefore, the focus of the parabola is [tex](-10,0)[/tex].
if f(x)=-x+2 find f(6)
Answer:
Answer: -4
Step-by-step explanation:
[tex]{ \rm{f(x) = - x + 2}} \\ \\ { \rm{f(6) = - (6) + 2}} \\ \\ { \rm{f(6) = - 4}}[/tex]
The value for f(6) = -4
What is the function of f(x)?The function of f(x) is set to a term such that for every value of x, there is a unique value for it on the graph.
From the given information, we are given a function
f(x) = -x + 2To find f(6), we replace x with 6.
f(6) = -6 + 2f(6) = -4Learn more about function of f(x) here:
https://brainly.com/question/544653
simplify the expression.
Answer:
-6m^2 *n^2
Step-by-step explanation:
formula: (m^x)/(m^y)= m^(x-y)
apply formula for (4m^2)/(2m^-3)
=(4m^(2--3)/(2)
=4m^5/2
divide 4/2
=2m^5
next part 3n^5/(-mn)^3
3n^5/(-mn)^3
expand
=3n^5/ (-m^3*n^3)
=3n^(5-3)/ -m^3
=3n^2/ -m^3
both parts:
(2m^5* 3n^2)/ -m^3
= -(2m^5* 3n^2)/ m^3
= -(2m^(5-3)* 3n^2)/ 1
= -(2m^2* 3n^2)
= -(6m^2*n^2)
= -6m^2 *n^2
The length of a metal rod is 9 3/4 feet. What is the length of 1/4 of the rod?
Answer:
2 [tex]\frac{5}{16}[/tex]
Step-by-step explanation:
2 [tex]\frac{5}{16}[/tex] × 4 = 9 3/4
9 3/4 × 1/4 = 2 5/16
I hope this helps!
Answer:
3 1/4 feet
Step-by-step explanation:
1/4 of 9 3/4
change 9 3/4 into an improper fraction → 39/3
1/4 x 39/3 = 39/12
convert back to a mixed number by dividing 12 into 39
which goes in three times with a remainder of 3 → 3 3/12
however, 3/12 can be simplified to equal 1/4
he first step that Sarah performed to simplify the expression StartFraction 4(6.8 minus 4.2) plus 8.2 over 2 EndFraction before entering it into the calculator is shown.
2(3.4 – 2.1) + 4.1
Which statement is true?
Sarah performed the first step correctly.
The first step should have been 2(6.8 – 4.2) + 8.2.
The first step should have been StartFraction 27.2 minus 4.2 plus 8.2 over 2 EndFraction.
The first step should have been StartFraction 4(2.6) plus 8.2 over 2 EndFraction.
Sarah performed the first step correctly.
Given the function that Sarah performed as:
[tex]\dfrac{4(6.8-4.2)+8.2}{2}[/tex]
To simplify the function, the first step Sarah carries out is to divide the numerator by 2:
[tex]\dfrac{4(6.8-4.2)+8.2}{2} \\= \frac{2(2)(2(3.4)-2(2.1)+2(4.1))}{2}\\=2(3.4 - 2.1) + 4.1[/tex]
This shows that Sarah performed the first step correctly.
Learn more on decimal here: https://brainly.com/question/20123476
The recipe for 4 people says I need 300g of sugar. I am making for 10 people. How much sugar do I need in g?
Answer:
750g
Step-by-step explanation:
300 divided by 4, for amount of sugar per person
you'll get 75
then multiply 75 by 10 for 10 people
you get 750g
Evaluate the expression. 5 x (-6 / -1 + -10)
Answer:
-20
Step-by-step explanation:
[tex]5 * (-6 / -1+ -10)[/tex]
According to PEMDAS, we need to do the math in the parentheses first.
[tex]-6 / -1 + -10[/tex]
Applying PEMDAS to the inside of the parentheses, then we have to divide -6 by -1, where we would get 6.
[tex]6 + -10[/tex]
Adding a negative is the same as subtracting, so adding negative 10 is the same as subtracting 10.
[tex]6 - 10[/tex]
Subtracting, we get 6 - 10 = -4 and we're left with:
[tex]5 * (-4)[/tex]
Multiplying, our final answer is -20.
Hope this helps!
If you walked for 5 minutes, what would the ratio of feet to minutes be? Use your steps to minutes ratio from Task 1 to determine a ratio of feet to minutes. Show your calculation.
Answer:
2:1 RATIO
Step-by-step explanation:
If you walked for 5 minutes, the ratio of feet to minutes would be approximately 2.1665 feet per minute.
How did we get the value?To determine the ratio of feet to minutes, we can use the steps to minutes ratio from Task 1. Let's find the steps-to-feet ratio first:
Steps:Feet
4:10
6:15
12:30
30:40
Now, let's calculate the steps-to-feet ratio by finding the average of the steps-to-feet ratio from all the given data points:
Average Steps-to-Feet Ratio = [(10/4) + (15/6) + (30/12) + (40/30)] / 4
Average Steps-to-Feet Ratio = (2.5 + 2.5 + 2.5 + 1.333) / 4
Average Steps-to-Feet Ratio = 2.1665
Now, for the question at hand, if you walked for 5 minutes, the ratio of feet to minutes would be approximately 2.1665 feet per minute.
learn more about ratio: https://brainly.com/question/12024093
#SPJ3
Use an area model to find the quotient: 132 ÷ 3 = ________.
Answer:
44
Step-by-step explanation: