Answers
Answer:
[tex]\frac{a}{(a-c)\cdot (b-c)}[/tex]
Step-by-step explanation:
We must use algebraic means to simplify the equation given. The procedure is presented below:
1) [tex]\frac{a}{(a-b)\cdot (a-c)} + \frac{b}{(b-c)\dot (b-a) } + \frac{c}{(a-c)\cdot (b-c)}[/tex] Given.
2) [tex]\frac{a}{(a-b)\cdot (a-c)} + \frac{b}{-(a-b)\cdot (b-c)} + \frac{c}{(a-c)\cdot (b-c)}[/tex] Commutative property/Distributive property/[tex](-1)\cdot a = -a[/tex]/[tex](-1)\cdot (-a) = a[/tex]
3) [tex]\frac{a}{(a-b)\cdot (a-c)} + \frac{(-b)}{(a-b)\cdot (b-c)} + \frac{c}{(a-c)\cdot (b-c)}[/tex] [tex]-\frac{a}{b} = \frac{-a}{b} = \frac{a}{-b}[/tex]
4) [tex]\frac{a\cdot (b-c)}{(a- b)\cdot (a-c)\cdot (b-c)} + \frac{(-b)\cdot (a-c)}{(a-b)\cdot (b-c)\cdot (a-c)} + \frac{c\cdot (a-b)}{(a-c)\cdot (b-c)\cdot (a-b)}[/tex] Modulative property/Existence of aditive inverse/Definition of division
5) [tex]\frac{a\cdot (a-c) + (-b)\cdot (a-c)+c\cdot (a-b)}{(a-b)\cdot (a-c)\cdot (b-c)}[/tex] Distributive property/Definition of division
6) [tex]\frac{a^{2}-a\cdot c -a\cdot b + b\cdot c+a\cdot c-b\cdot c}{(a-b)\cdot (a-c)\cdot (b-c)}[/tex] Distributive and commutative properties/[tex](-a) \cdot b = -a\cdot b[/tex]/[tex](-a)\cdot (-b) = a\cdot b[/tex]/Definition of power
7) [tex]\frac{a^{2}-a\cdot b}{(a-b)\cdot (a-c)\cdot (b-c)}[/tex] Commutative, associative and modulative properties/Existence of additive inverse
8) [tex]\frac{a\cdot (a-b)}{(a-b)\cdot (a-c)\cdot (b-c)}[/tex] Commutative property
9) [tex]\frac{a}{(a-c)\cdot (b-c)}[/tex] Commutative and associative properties/Existence of multiplicative inverse/Result
Related Questions
*How are the ordered pairs used to create the sine and cosine graphs?
Answers
Answer:
The graphs of sine and cosine have the same shape: a repeating “hill and valley” pattern over an interval on the horizontal axis that has a length of . The sine and cosine functions have the same domain—the real numbers—and the same range—the interval of values
Good morning, can someone help me solve this problem? I already did some of it but I need help, thank you
Answers
Answer: (-4, -1)
This means x = -4 and y = -1 pair up together.
======================================================
You're on the right track. You'll replace the 'x' with 3y-1, but you made a typo. I think you meant to write the subtraction symbol instead of the equal sign.
Here's what your steps could look like
-2x + 5y = 3
-2(3y-1) + 5y = 3
-6y + 2 + 5y = 3
-y + 2 = 3
-y = 3-2
-y = 1
y = -1
x = 3y-1
x = 3(-1) - 1
x = -3-1
x = -4
Therefore, (x, y) = (-4, -1) is the solution
-------------------
As the steps above show, I replaced each copy of x in the second equation with (3y-1). This is due to x = 3y-1. From there, we isolate y. Once you determine that y = -1, it's plugged into the first equation to find x.
If you were to graph x = 3y-1 and -2x+5y = 3 on the same xy coordinate grid, then the two lines would intersect at (-4, -1)
Also, note how plugging x = -4 and y = -1 into the second equation leads to...
-2x+5y = 3
-2(-4)+5(-1) = 3
8 - 5 = 3
3 = 3
We get the same value on both sides, so that verifies the second equation. I'll let you verify the first equation.
Isaac earns $15 per hour when he babysits. Let A be the amount he earns in dollars after babysitting for H hours.
Answers
Answer:
A= 15(H)
Step-by-step explanation:
A is the total amount he is going to get, And H is the hours. If he gets 15 an hour. it means however many hours he works multiplied by 15 is the total amount he gets.
140.23 < 140.203 what is the answer true or false.
Answers
Answer:
true
Step-by-step explanation:
Answer:
false because 140.23 is not less then 140.203
please help me :)
See pic attached
Answers
Step-by-step explanation:
a) The square numbers that greater than 20 but less than 50 are 25, 36, 49.
b) The cube number that greater than 50 but less then 100 is 64.
#CMIIWFind the value of 3a+ 3b when: a = 6 and b = 4 a = 4 and b = 6 Your two answers should be the same. Look at the expression and the a and b values and explain why the answers are the same.
Answers
Answer:
The answer is 30.
Step-by-step explanation:
The given expression is :
3a+3b
Put a = 6 and b = 4 in the above expression.
3a+3b = 3(6) + 3(4)
= 18+12
= 30
Now put a = 4 and b = 6 in the above expression.
3a+3b = 3(4) + 3(6)
= 12+18
= 30
Hence, the answer in both case is same i.e. 30.
Simplify 23×(3 4−18 )÷34
Answers
Answer:
Step-by-step explanation:
23*(34-18)÷18
23*16÷18
23*8/9
184/9
20.44
use BODMAS rule (Bracket Of Multiplication Addition Subtraction)
PLS HELP WILL MARK BRAINLEST IF UR CORRECT
Answers
Answer:
52. (0,-3)
53. Slope= 4
54. Y=4x-3
The parallelogram below will be cut into two congruent triangles. What is the area of one of the triangles?
Answers
Answer:
Area of each triangle = 35 cm²
Step-by-step explanation:
Given:
Base of parallelogram = 14 cm
Height of parallelogram = 5 cm
Two equal congruent triangles
Find:
Area of each triangle
Computation:
We know that equal congruent triangles have equal area
So,
Area of each triangle = Area of parallelogram / 2
Area of each triangle = Area of parallelogram / 2
Area of each triangle = [B x H] / 2
Area of each triangle = [14 x 5] / 2
Area of each triangle = [70] / 2
Area of each triangle = 35 cm²
If you draw two cards from a standard deck of 52 cards without replacement.
Answers
Answer:
Step-by-step explanation:
a) prob(king first, Jack second)
= (4/52)(4/51) = 4/663
1,2,3,5 and 7 are all common factors of two numbers. Write down the digit that the two numbers must end in?
Answers
A recipe calls for 1 ¾ cups of flour. If the recipe is tripled, how much flour is needed?
Answers
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 :)
EASY MATH PLEASE HELP
NO LINKS PLEASE
EXPLANANTION REQUIRED
I WILL GIVE BRAINLIEST
: ) HINT: THE ANSWER IS NOT 168 !!!!
PLEASE REMEMBER THAT EXPLANANTION'S ARE REQUIRED!! : )
ALSO MY TEACHER MADE AN ERROR SO THESE ARE THE OPTIONS FOR WHAT THE ANSWER WOULD BE:
A) 1328
B) 144
C) 176
Answers
Answer:
the answer is C 176
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?
Answers
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¢
whats 9 +10?
this is way to hard i dont understand
Answers
Answer:
19
Step-by-step explanation:
-.-
Answer: 19
Step-by-step explanation:
Data: 9+10=x
Only step, Add 9+10
10+9=19
Reason: Since + means addition, you have to combine them together and when you do that, all you have to do is count 9 numbers up from 10 to reach 19.
That is how you arrive at the answer of 19
I hope this helps!
(Also, please ask real questions next time)
What is the solution to 3/4a
+ 5/6 = 5a - 125/3? Enter your answer in the box below.
a =
Answers
Answer:
a = 10
Step-by-step explanation:
9a + 10 = 60a - 500
51 a = 510
a = 10
The solution of the expression is,
⇒ a = 10
What is an expression?An expression which is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division is called mathematical expression.
Given that;
The expression is,
⇒ 3/4a + 5/6 = 5a - 125/3
Now,
We can solve the expression as;
⇒ 3/4a + 5/6 = 5a - 125/3
⇒ 5/6 + 125/3 = 5a - 3/4a
⇒ 5/6 + 250/6 = (20a - 3a) / 4
⇒ 255/6 = 17a/ 4
⇒ 255 × 4 / 6 = 17a
⇒ 17a = 170
⇒ a = 10
Thus, The solution of the expression is,
⇒ a = 10
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
Which radio costs 150% as much as Radio D?
Answers
Amanda and Jamie are standing 25 feet apart and spot a bird in the sky between them. The angle of elevation from Amanda to the bird is 49 degrees, and from Jamie to the bird is 67 degrees. How far away is the bird from Amanda? (round your answer to the nearest tenth)
PLEASE show work so I can understand. This is a bonus question from my test and I just want to know if my answer is correct. We are learning about trigonometry applications (law of cosines, law of sines, soh cah toa.
Answers
Answer:
https://brainly.com/question/16013883
Step-by-step explanation:
hope yu see the answer
Simon lost his library card and has an overdue library book. When the book was 5 days late, he owed $2.25 to replace his library card and pay the fine for the overdue book. When the book was 21 days late, he owed $6.25 to replace his library card and pay the fine for the overdue book. Suppose the total amount Simon owes when the book is n days late can be determined by an arithmetic sequence. Determine a formula for an, the nth term of this sequence. Use the formula to determine the amount of money, in dollars, Simon needs to pay when the book is 60 days late.
Answers
Answer:
[tex](a)\ y = 0.25n +1[/tex]
[tex](b)\ \$16[/tex]
Step-by-step explanation:
Given
[tex]n \to days[/tex]
[tex]y \to amount[/tex]
[tex](n_1,y_1) = (5,2.25)[/tex]
[tex](n_2,y_2) = (21,6.25)[/tex]
Solving (a): Formula that represents the scenario.
Calculate slope (m)
[tex]m = \frac{y_2 - y_1}{n_2 -n_1}[/tex]
[tex]m = \frac{6.25-2.25}{21-5}[/tex]
[tex]m = \frac{4}{16}[/tex]
[tex]m = 0.25[/tex]
The equation is calculated using:
[tex]y = m(n - n_1) + y_1[/tex]
This gives:
[tex]y = 0.25(n - 5) + 2.25[/tex]
[tex]y = 0.25n - 1.25 + 2.25[/tex]
[tex]y = 0.25n +1[/tex]
Solving (b): Amount after 60 days late.
This means that:
[tex]n = 60[/tex]
So:
[tex]y = 0.25 * 60 + 1[/tex]
[tex]y = 15 + 1[/tex]
[tex]y = 16[/tex]
Choose the correct inequality based on the number line below
Answers
Answer:
D.
Step-by-step explanation:
Answer:
D. O < -1
Step-by-step explanation:
H is less than A so that inequality is incorrect.
K is greater than A so that inequality is incorrect.
G is greater than -3 so the inequality is incorrect.
Finally, O is less than -1 so it is correct.
Find the number exactly halfway between 1/5 and9/10
Answers
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
Given that there is a 21% chance it will rain on any day, what is
the probability that it will rain on the first day and be clear (not
rain) on the next two days?
Answers
what if a man has 19 cows and he wants to give Half of them to his brother 1/4th to Son and 1/5th to daughter?
Answers
9.5 for the brother 19/4 for the son and 19/5 for the daughter I think
Step-by-step explanation:
So 9.5 would be 10. 19/4 would be 5 and 19/5 would be 4
SO the brother would get 10 the son would get 5 and the daughter would get 4
Answer:
Brother-9.5
Son-19/4
Daughter-19/5
Step-by-step explanation:
Also, pls help me on my phsyics Q3 work on graduation alliance. PLEASE PLEASE.
Write a system of linear inequalities represented by the graph.
Answers
Answer:
Alright so youd havee to right the terms in order which should be easy then your done! Hope this helped!
Step-by-step explanation:
1) Base of an isosceles triangle is five more than three times the equal sides and perimeter of the triangle is 75 cm. Find the lengths of the sides of the triangle.
Answers
Answer:
14 +14 +47 = 75
Step-by-step explanation:
x= side length
2x+(3x+5) = 75
5x+5 = 75
3x =70
x=14
14(3) +5 = 47
What are the adjacent and vertical pairs in this picture
Answers
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
Which two-dimensional figure will create a cone with a radius of 3.5 and a height of 7?
A triangle has sides lengths of 7 and 3.5. A line of rotation is at the point opposite to the side with length 7.
A triangle has sides lengths of 7 and 3.5. A line of rotation is at the side with length 3.5.
A triangle has sides lengths of 7 and 3.5. A line of rotation is at the side with length 7.
Answers
Answer:
its last one
Step-by-step explanation:
A triangle has sides lengths of 7 and 3.5. A line of rotation is at the side with length 7.
Answer:
They are correct
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A clothing store donated a percent of every sale to hospitals. The total sales were $8,450 so the store donated $507. What percent of $8,450 was donated to hospitals?
Answers
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.
Answers
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
What value of x makes the equation `33x=11`true?
Answers
Answer:
3
Explanation: 3 times 11 is 33
The value of x that makes the equation true is 3.
What is an equation?An equation is a statement that equates to two expressions.
The given equation is:
[tex]33=11x[/tex]
[tex]11x=33[/tex]
Divide both sides by 11
[tex]\frac{11x}{11} =\frac{33}{11}[/tex]
[tex]x=3[/tex]
So, the required value of x=3.
Hence, The value of x that makes the equation true is 3.
To get more about equations visit:
https://brainly.com/question/14323743