i. 2x-6=7x+7 ii. 2x-6-7x+7 iii. 2x-6+7x+7
2x=7x+13 -5x+1 9x+1
0=5x+13
-13=5x
x=-13/5
Please help me with this.
Write the expression 8x^2y + 3xy^2 - 2xy - x^2y + 3xy - 5xy^2 in simplest form.
Then, answer the following questions using complete sentences:
a. How many terms are in the simplified expression?
b. How many of the terms in the simplified expression are positive?
Answer:
[tex]7x^{2} y-2xy^2+xy[/tex]
Three terms.
Two terms are positive.
Step-by-step explanation:
[tex]8x^2y + 3xy^2 - 2xy - x^2y + 3xy - 5xy^2[/tex]
Group like terms
[tex]=8x^{2} y-x^{2} y+3xy^2-5xy^2-2xy+3xy[/tex]
Add similar elements: [tex]8x^{2} y-x^2y=7x^2y[/tex]
[tex]=7x^2y+3xy^2-5xy^2-2xy+3xy[/tex]
Add similar elements: [tex]3xy^2-5xy^2=-2xy^2[/tex]
[tex]=7x^{2} y-2xy^2-2xy+3xy[/tex]
Add similar elements: [tex]-2xy+3xy=xy[/tex]
[tex]=7x^2y-2xy^2+xy[/tex]
[tex]7x^2y[/tex] and [tex]-2xy^2[/tex] and [tex]xy[/tex] are the three different terms.
Only [tex]7x^2y[/tex] and [tex]xy[/tex] are positive terms, thus making two positive terms.
3. Based on the data within your schedule and curve, are you using your resources efficiently? Support your answer using the data presented. i used the numbers Combinations Running shoe inserts Hiking boot inserts
A 0 10
B 3 8
C 6 6
D 9 4
E 12 2
F 15 0
please help brainlyistttt
3. No, I am not using my resources very efficiently. This is because when we need to make more hiking boots you have to make fewer running shoes.
4. I would recommend for them to focus on the hiking boots more because they use less material to make them.
hope this is correct c:
Yes, my resources are being used efficiently if I choose point D, as then I will be making equal amounts of product (1 to 1 ratio).
What is a statistics?
'Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.'
According to the given problem,
This is the most efficient point by far compared to the others, because the two axes are the closest together out of all of the 7 points.
I would recommend that the Shoe Hut focus on both of them, as they have a perfect 1 to 1 ratio.
However, if needed, it is possible to allocate all production power towards running shoe insoles at a 15 to 0 ratio compared to hiking shoe insoles at10 to 0.
Hence, we concluded that, It would be better for the shoe hut to focus on running shoe insoles because they are easier to produce and there is less production of cost.
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Which number is a solution of the inequality?
8< x ( 7- x)
A. 2
B. 8
C. –1
D. 0
Answer:
8< (2) ( 7- (2)) = 8<10 which is true
so A. is the answer
Step-by-step explanation:
Solve Each Equation show work
7. |n| - 4 = - 3
8. -3 |x|= - 18
Answer:
1. n is 1 or -1
2. x is 6 or -6
Step-by-step explanation:
1. |n| -4 = -3
|n| = -3 + 4
|n| = 1
so n = 1 or - 1
2) -3|x| = -18
divide both sides by -3
|x| = -18/-3
|x| = 6
so x = -6 or 6
What percent 284 of is 71?
Answer:
It's 25
Step-by-step explanation:
which are equivalent to 3
-
4
Answer: 9/12 is equivalent to 3/4.
Explanation: 3 times 12 = 36 and 4 times 9 = 36.
Hope this helps!
What will the date be in 2 months and 3 weeks? current date: December 13, 2020.
Answer: March 6th, 2021
Amir solved the following equation. describe the first mistake he made.
2x-2=14
-2 -2
2x =12
2. 2
X=6
Answer:
he faked too much
Step-by-step explanation:
Find the measure of the missing angle
Answer:
33
Step-by-step explanation:
90-57 = 33
Answer:
33 degrees
Step-by-step explanation:
its a right triangle which is 90 degrees so if you just subtract 90-57 you'll get your answer which is 33.
Emily wins 22000$. She has to pay 10% for charity and then she decides to buy a car for 10800$. She divides the rest of them between her son and daughter in the ratio 1:4. How much does her daughter get.
Answer:
$7 200
Step-by-step explanation:
Amount of money paid for charity = [tex]\frac{10}{100}[/tex] × $22 000
= $2 200
Remaining money left for children = $22 000 - $2 200 - $10 800
= $9000
Let the amount of money her son receives be x and the amount her daughter gets be 4x.
Son's $ + Daughter's $ = $9000
x + 4x = 9000
5x = 9000
Amount of money her daughter gets (4x) = [tex]\frac{4}{5}[/tex] × 9000
= $7 200
please help this is a prodigy question i'm stuck on
Answer:
put down the 1/6 and the 1/2 on the number line then calculate the fraction of how far spread they are
Step-by-step explanation:
put down the fractions, calculate how far away they are
2 step explination its 3/6
hope its right................
Part 1: Students performed in a play on a Friday and a Saturday. For both performances, adult tickets cost a dollars each and student
tickets cost s dollars each.
On Friday, they sold 125 adult tickets and 65 student tickets, and collected $1,200. On Saturday, they sold 140 adult tickets and 50
student tickets, and collect $1,230.
This situation is represented by this system of equations:
125a +65 s = 1,200
140a +505 = 1,230
What could the equation 265a+115s=2,430 mean in this situation?
Part 2: The solution to the original system is the pair a=7 and s=5. Explain why it makes sense that this pair of values is also the solution to the equation 265a+115s=2430.
Answer:
Sum of the two separate equations.
The values satisfies the equation
Step-by-step explanation:
Given the equations for the two separate days :
125a +65 s = 1,200 - - - Friday
140a +50s = 1,230 - - - Saturday
265a+115s=2430 means the addition of the two separate equations which means the overall sales for the two days in one single equation.
B)
Because, Inputting the solution, satisfied the equation:
a = 7 ; s = 5
265a+115s=2430
265(7) + 115(5) = 2430
1855 + 575 = 2430
12 - 3a for a=3. if a=3, 12 - 3a= ?
Answer:
3
Step-by-step explanation:
if a=3 then 12-3a = 12-9 = 3
What is the solution to the equation 6n+7=55
Answer:
n = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
6n + 7 = 55
Step 2: Solve for n
Subtract 7 on both sides: 6n = 48Divide 6 on both sides: n = 8Step 3: Check
Plug in n into the original equation to verify it's a solution.
Substitute in n: 6(8) + 7 = 55Multiply: 48 + 7 = 55Add: 55 = 55Here we see that 55 does indeed equal 55.
∴ n = 8 is a solution of the equation.
Answer:
n =8 I hope this helped
Solution:
6n +7-7=55-7
I hope this helped
increase 300 by 12%.
Answer:
300, percentage increased by 12% (percent) of its value = 336
Step-by-step explanation:
The bill for the repair of a computer was $179. The cost of parts was $44, and labor charge was $45 per hour. How many hours did it take to repair the computer?
Step-by-step explanation:
44 + 45h = 179
45h = 179 - 44
45h = 135
h = 135/45
h = 3 It took 3h to repair
I hope that help's
An environmentalist tracks the total number of trees y in a park after x years of a planting program. The line of best fit for the data is represented by the equation y = 4x + 15. What is the percent change in the total number of trees from x = 3 to x = 6? Round your answer to the nearest percent.
Answer:
44.4%
Step-by-step explanation:
Given that:
Equation of best fit : y = 4x + 15
Where, y = number of trees x years after a planting program
When x = 3
y = 4(3) + 15 = 12 + 15 = 27 trees
When x = 6
y = 4(6) + 15 = 24 + 15 = 39 trees
Percentage change in total number of trees:
((39 - 27) / 27) * 100%
(12 / 27) * 100%
0.44444 * 100%
= 44.4%
Change the fraction to an equivalent fraction using multiplication.
\(\frac{5}{7}=\frac{?}{21}\)
Answer:
[tex]\frac{5}{7\\}[/tex] * [tex]\frac{3}{3}[/tex] = [tex]\frac{15}{21}[/tex]
Step-by-step explanation:
To get an equivalent fraction, we multiply by a fraction that is equal to one. The purpose is to alter the denominator of the fraction. To get from a denominator of 7 to 21 we multiply by 3. Therefore we will multiply 5/7 by 3/3 to get the new equivalent fraction with a denominator of 21.
Answer:
a0 - 15
Step-by-step explanation:
what is the value of
[tex] \frac{7}{3} \div \frac{5}{6} [/tex]
9. Which of the following vary inversely with each other?
(a) speed and distance covered.
(b) distance covered and taxi fare.
(c) distance travelled and time taken.
(d) speed and time taken.
8th class maths . please explain your answer
Answer:
speed and distance covered
Step-by-step explanation:
when the distance is a constant, the time is related inversely.
Which equation is equivalent to x + 2y = 6?
y = -x + 6
B
y = -5x – 6
y = -x + 3
y = -x + 3
Answer:
y = -x + 6
Step-by-step explanation:
you will carry the character "X" to the right hand side making it "-x"
Equation x + 2y = 6 is equivalent to y = 3 - x/2
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
The given equation is,
x + 2y = 6,
Subtract x from both the sides,
x + 2y - x = 6 - x
2y = 6 - x
Divide both the sides by 2,
y = 3 - x/2
The equation x + 2y = 6 can be expressed as y = 3 - x/2.
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PLEASE LOOKS AT PHOTO it’s due tonight i’m struggling badly :(
Answer:
y = 6.32
Step-by-step explanation:
7^2-3^2= 40
hope it helped
if y directly with x, and y= -20 when x=3, what is y when x=15?
Step-by-step explanation:
you can ask questions for clarification
8 is what percent of 64?
Answer:
The answer is 12.5
Somebody plz help me
Answer:
I am sorry thats a lot to type out.
Step-by-step explanation:
I will say that to know if its rational, you have to see if the integer can be written in a fraction (like 0.333, 89/10, -4, 0)
Answer:
Whole numbers: 3, [tex]\sqrt{4}[/tex], [tex]\frac{49}{7}[/tex], zero
Integer but not whole: -100, -34, -4, -[tex]\frac{8}{4}[/tex]
Rational number: 9.23456, [tex]\frac{1}{2}[/tex], [tex]\frac{89}{10}[/tex], 0.333_
Irrational number: [tex]\pi[/tex], 0.456783_, [tex]\sqrt{8}[/tex]
Step-by-step explanation:
Whole number is any number that does not have a decimal and is not negative. [tex]\sqrt{4}[/tex] = 2. [tex]\frac{49}{7}[/tex] = 7. 0 is not negative and does not have a decimal so it is also a whole number.
Integers are any number that does not have a decimal and can be both positive or negative. -[tex]\frac{8}{4}[/tex] = -2.
A rational number can have a decimal but the decimal digits must terminate or the digit must repeat. [tex]\frac{1}{2}[/tex] is 0.5. [tex]\frac{89}{10}[/tex] is 8.9 and 0.333_ repeats the digit 3 so it is rational.
An irrational number can have a decimal and the decimal digits must list on forever or not repeat. [tex]\pi[/tex] is naturally an irrational number as it does not repeat and it spreads on forever. 0.456783_ does not repeat and goes on forever due to the dash at the back. [tex]\sqrt{8}[/tex] is also not rational.
Which point in the graph is on f(x)=3x5^x
Answer:???
Step-by-step explanation:
Answer:
(1,15)
Step-by-step explanation:
Julissa gave out an equal number of oranges to each of the 6 apartments on her floor. If she gave each apartment 5 oranges, how many oranges did Julissa give out in all? StartFraction 5 Over 6 EndFraction 1 and one-fifth 11 30
Answer:
30 oranges
Step-by-step explanation:
Total number of apartment in julissa floor = 6
Number of oranges given to each apartment = 5
how many oranges did Julissa give out in all?
Total number of oranges julissa's gave out = Total number of apartment in julissa floor × Number of oranges given to each apartment
= 6 × 5
= 30 oranges
Therefore, total number of oranges julissa gave out = 30
Answer:
30
Step-by-step explanation:
30
The numerator of a rational number 8
Answer:
We conclude that the numerator of a rational number 8 will be 8.
Step-by-step explanation:
We know that any number which can be written in the form p/q is called a rational number.
i.e. p/q
Where p and q are integers and q≠0.
Here:
The numerator is pThe denominator is qGiven the number
8
As number '8' can be written in the form p/q, so it is a rational number.
i.e. 8/1
Thus,
The numerator = 8The denominator = 1Therefore, we conclude that the numerator of a rational number 8 will be 8.
During the first week of school Andrew purchased two pounds of Jellies and two pounds of Bonbons for $38. The second week of school he purchased two pounds of Jellies and four pounds of Chocolates for $74 and the third week he purchased two pounds of Jellies, two pounds of Bonbons and one pound of Chocolates for $53. What is the cost of one pound of Chocolates?
Answer:
j = $7
b = $12
c = $15
Step-by-step explanation:
Let
j = cost of one pound of jelly
b = cost of one pound of Bonbon
c = cost of one pound of chocolate
First week:
two pounds of Jellies and two pounds of Bonbons for $38.
2j + 2b = 38
Second week:
two pounds of Jellies and four pounds of Chocolates for $74
2j + 4c = 74
Third week:
two pounds of Jellies, two pounds of Bonbons and one pound of Chocolates for $53.
2j + 2b + c = 53
Recall,
2j + 2b = 38
So,
38 + c = 53
c = 53 - 38
= 15
c = $15
Substitute c = 15 into
2j + 4c = 74
2j + 4(15) = 74
2j + 60 = 74
2j = 74 - 60
2j = 14
j = 14/2
= 7
j = $7
Substitute j = 7 into
2j + 2b = 38
2(7) + 2b = 38
14 + 2b = 38
2b = 38 - 14
2b = 24
b = 24/2
= 12
b = $12
can someone plz plz plz help me choose an answer for this idk what it is
Answer:
Largest number ins scientific notation: 1.4 x 10⁹ (Diameter of sun)
Step-by-step explanation:
We need to find the largest number ins scientific notation.
The number which has highest degree would be the largest.
In the given options, Diameter of Sun has highest power i.e 10⁹
All other options have lower degrees.
So, largest number ins scientific notation: 1.4 x 10⁹ (Diameter of sun)