9) [tex]3 + 5n = 1 + 8n + 2[/tex] | subtract 5 on both sides, and solve 8n and -5n
[tex]3 = 1 + 3n + 2[/tex] | combine like terms, add 2 and 1
[tex]3 = 3n + 3[/tex] | subtract 3 on both sides, and solve 3 and -3
[tex]0 = 3n[/tex] | divide by 3n
[tex]0 = n[/tex] | final answer
10) [tex]5x + 12 = 4x + 6[/tex] | subtract 4x on both sides, solve -4x and 5x
[tex]x + 12 = 6[/tex] | subtract 12 on both sides, solve -12 and 6
[tex]x = -6[/tex] | final answer
11) [tex]-8x - 4 = 7 (-2 - 4x) + 4x[/tex] | distribute 7 into the parentheses
[tex]-8x - 4 = -14 - 28x + 4x[/tex] | combine like terms
[tex]-8x - 4 = -14 - 24x[/tex] | add 8x on both sides, and solve 8x and -24x
[tex]-4 = -14 - 16x[/tex] | add -14 on both sides, and solve 14 and -4
[tex]10 = -16x[/tex] | divide by -16 on both sides, and solve
[tex]-0.625 = x[/tex] | final answer
12) [tex]16 - 2n = - 8 + 4 (n - 3)[/tex] | distribute 4 into the parentheses
[tex]16 - 2n = -8 + 4n - 12[/tex] | combine like terms
[tex]16 - 2n = 4n - 4[/tex] | add 2n on both sides, and solve 2n and 4n
[tex]16 = 6n - 4[/tex] | add 4 on both sides, and solve 4 and 16
[tex]20 = 6n[/tex] | divide by 6 on both sides, and solve
[tex]3.33333 = n[/tex] | final answer (repeated)
13) [tex]-6 (3 - 6r) = -18 + 4r[/tex] | distribute -6 into the parentheses
[tex]-18 + 36r = -18 + 4r[/tex] | subtract 4r on both sides, solve 36r and -4r
[tex]-18 + 32r = -18[/tex] | add -18 on both sides, solve -18 and 18
[tex]32r = 0[/tex] | divide by 32 on both sides, and solve.
[tex]r = 0[/tex] | final answer
14) [tex]4 (3b - 1) = 9 - b[/tex] | distribute 4 into the parentheses
[tex]12b - 4 = 9 - b[/tex] | add -b on both sides, solbe 12 and b
[tex]13b - 4 = 9[/tex] | add -4 on both sides, solve 9 and 4
[tex]13b = 13[/tex] | divide 13 on both sides, solve
[tex]b = 1[/tex] | final answer
15) [tex]-6x + 7 (1 - x) = -4 (x - 4)[/tex] | distribute 7 into parentheses
[tex]-6x + 7 - x = -4 (x - 4)[/tex] | distribute -4 into the parentheses
[tex]-6x + 7 - x = -4x + 16[/tex] | combine like terms
[tex]-5x + 7 = -4x + 16[/tex] | add -4x on both sides, solve -5x and 4x
[tex]-x + 7 = 16[/tex] | subtract 7 on both sides, solve 16 and -7
[tex]-x = 9[/tex] | divide by -1 on both sides, solve
[tex]x = -9[/tex] | final answer
16) [tex]5 - (8v + 5) = -4 (1 + 3v)[/tex] | distribute the - and -4 into the parentheses
[tex]5 - 8v - 5 = -4 - 12v[/tex] | combine like terms
[tex]10 + 8v = -4 - 12v[/tex] | add 12v on both sides, solve 12v and 8v
[tex]10 + 20v = -4[/tex] | subtract 10 on both sides, solve -4 and -10
[tex]20v = - 14[/tex] | divide 20 on both sides, and solve
[tex]v = -0.7[/tex] | final answer
17) [tex]-8 (4 + 4n) = 8 (n + 6)[/tex] | distribute -8 and 8 into the parentheses
[tex]-32 - 32n = 8n + 48[/tex] | add -32n to both sides, solve 32n and 8n
[tex]-32 = 40n + 48[/tex] | subtract 48 on both sides, solve -32 and -48
[tex]-80 = 40n[/tex] | divide -80 on both sides, and solve
[tex]-2 = n[/tex] | final answer
UNDER CONSTRUCTION (I WILL EDIT WHILE YOU RECIEVE THE ANSWERS)
How to Get Answer for Number 9:
3+5n = 1+8n+2
5n+3=(8n)+(1+2)(Combine Like Terms)
5n+3=8n+3
Step 2: Subtract 8n from both sides.
5n+3−8n= 8n+3−8n
−3n+3=3
−3n+3−3=3−3
−3n=0
Answer: n = 0
[tex]\frac{-3n}{-3} =\frac{0}{-3}[/tex]
10.
5x + 12 − 4x = 4x + 6 − 4x
x + 12 = 6
x + 12 − 12 = 6 − 12
Answer: x = −6
11. Answer is also x = 0
(More answers will come as edited)
what is the opposite of -3
3 the opposite as in |-3|
is 3
What is 732÷42 in rounding form?
732 ÷ 42 = 17.42857143
Rounding up the answer to nearest whole number gives 17
A 6 month old sheltie puppy gets 2.5 cups of food twice per day. Select the equation that describes how many cups of food she eats in terms of days. A) y=2.5 B)
y=2.5x
C) y=x+5
D) y=5x
WILL GIVE LOTS OF POINTS
Answer:
y = 5x
D is the correct option.
Step-by-step explanation:
We have been given that sheltie puppy gets 2.5 cups of food twice per day.
It means that in a day she eats 5 cups of food. It means the rate is 5 cups of food per day.
The equation will be linear.
Let y be the number of cups of food she eat and x is the number of days.
Hence, we have
Slope = 5
And the equation that represents the number of cups of food she eats is given by
y = 5x
D is the correct option.
Answer:
D) y = 5x
Step-by-step explanation:
D is the correct answer.
Hope this helps!
Roberta is thinking about joining the food co-op store. If she pays $10.00 to join, she will get 10% off on all the groceries she buys there.How much must she buy before her savings equal her membership fee?
$100 worth of groceries.
The sum of two numbers is 12 the difference of the same is -4 formulate a system of equation and find the number
Answer:
The numbers are a= 4 and b= 8.
Step-by-step explanation:
Let the unknowns number be a and b.
assume a>b.
As per the given condition: The sum of two number is 12 and the difference of the same is -4.
from the above conditions we have:
[tex]a+b =12[/tex] ......[1]
[tex]a-b=-4[/tex] ......[2]
Now, adding equations, we will eliminate b leaving an equation in a that we can solve:
⇒ [1]+[2] gives;
[tex](a+b)+(a-b)=12+(-4)[/tex] or
[tex]a+b+a-b=12-4[/tex]
Simplify:
[tex]2a=8[/tex]
Divide by 2 on both sides, we get
[tex]\frac{2a}{2}= \frac{8}{2}[/tex]
Simplify:
a=4
Substitute the value of a= 4 in equation [1] . to solve for b;
[tex]4+b=12[/tex] or
b= 12-4 =8
Therefore, the numbers a and b are 4 and 8
What is -3x2? plez help
it is -6
-3x2=-6
do 3x2 (6) but add the negative after
Using multiplication operation, the value of -3 * 2, which is the product of -3 and 2 is: -6.
How to perform multiplication operation?To calculate -3 × 2, you multiply the two numbers together using the standard multiplication operation.
-3: This is a negative constant, representing the number -3.
×: This symbol represents the multiplication operation.
2: This is a positive constant, representing the number 2.
Now, perform the multiplication:
-3 × 2 = -6
So, -3 × 2 equals -6. The result is a negative number because when you multiply a negative number (-3) by a positive number (2), the product is negative.
Learn more about multiplication operation on:
https://brainly.com/question/29793687
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identify the slope and y-intercept of this equation and then show the steps to convert to standard form
y=9x+7
The slope is the factor in front of x, so slope is 9.
The y intercept is 7 (that's the point of cross the y axis, where x=0)
There are multiple definitions of "standard form" for lines, so here are the two i can think of:
9x - y = -7 (the implicit function form)
or
y-7 = 9*(x-0) (the point-slope form)
Lmk if you have questions.
If 13% of the 250 million adult Americans live in poverty, how many adult Americans live in poverty?
If 13% of 100 is 13, than 13% of 100 million is 13 million. And multiplying two on both sides, we get that 13% of 200 million is 26 million. If we take it the other way, we get that 13% of 50 million is 6.5 million. As 6.5 million + 25 million is 31.5 million, this is our answer.
your answer is 32,500,000
they are 5 students in the music club.There are 4 times as many students that play basketball.How many students play baskyball
5 x 4= 20
20 students play basketball.
5 x 4= 20
20 students play basketball.
What is the value of x? 34x+5−12x=3
The value of x is [tex]-1/11[/tex]
To find the value of xin the equation [tex]34x-12x+5=3[/tex], follow these steps:
1. Combine like terms on the left-hand side:
[tex]34x-12x+5=3[/tex]
2. Simplify the equation:
[tex]22x+5=322x + 5 = 322x+5=3[/tex]
3. Subtract 5 from both sides to isolate the term with xxx:
[tex]22x=3-522x = 3 \\- 522x=3-5 22x\\=-222x = -222x=−2[/tex]
4. Divide both sides by 22 to solve for xxx:
[tex]x=−222x \\= \frac{-2}{22}x=22-2 x\\=-111x =\frac{-1}{11}x=\\-1/11[/tex]
So, the value of x is [tex]-1/11[/tex]
Twelve less than the one fifth of a number is -7
Answer:
[tex]\frac{1}{5} -12=-7[/tex]
Help me plzzzz I need more hw to do so help at least
5. Simple multiplication: 12 * 4 = 48 books in total
6. Simple multiplication: 29 * 4 = 116 cards in total
7. You could turn 5 * 198 into (5 * 200) - (5 * 10) using the Distributive Property and use mental math to solve
8. subtraction, multiplication
9. Simple multiplication: 5 * 78 = $3.90, so C
What is 2.26 (26 repeating)as a fraction
The repeating decimal 2.26 (with 26 repeating) is converted to a fraction by setting it as 'x', scaling by 100, subtracting the original x, and then simplifying to get the fraction 224/99.
To convert the repeating decimal 2.26 (with 26 repeating) to a fraction, we use the following steps:
Let x = 2.262626..., which is the number we want to express as a fraction.Multiply x by 100 (since the repeating part is two digits long), so 100x = 226.262626....Subtract the original number x from this new number, so 100x - x = 226.262626... - 2.262626..., which gives us 99x = 224.Now, divide both sides by 99 to solve for x. Therefore, x = 224 / 99.We now have our fraction, which is 224/99.
acticity 2.5.2 the vertical angles theorem
the answer is 5.5.5.5.5 because i just did the math
a line that passes through the point (1, –1) and parallel to another line whose slope is 1.
i need help whats the closer 3 or 7 whats in the mittle
Solve for z. z−49−13=59 Enter your answer in the box. z=
Answer:
z = 131
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
z - 49 - 13 = 59
Step 2: Solve for z
Subtract: z - 62 = 69[Addition Property of Equality] Add 62 on both sides: z = 131Answer:
[tex] \small \sf \: z = \fbox{121}[/tex]
Step-by-step explanation:
z - 49 - 13 = 59
We need to find z.
solve for z
z - 49 - 13 = 59
combine like termsz - 62 = 59
Add 62 to both sidesz - 62 + 62 = 59 + 62
z = 59 + 62
Add 59 and 62 to get 121.z = 121
sole equation 4×6-24÷4
4x6-24/4
24-24/4
24-6
Answer: 18
Could someone help me on this please? Its one question but there are drop downs for the answer choices. 20 points
The equation format for point-slope form is y-y1 = m(x-x1)
The slope is M, which is given as -1/5
You are given a point of (7,2) which would be x1 and y1.
replace x1 and y1 in the equation with the appropriate numbers:
x1 = 7, y1 = 2
The equation becomes y - 2 = -1/5x -7
Solve for s.23s+56s=21
Enter the answer, as a whole number or as a fraction in simplest form, in the box.
23s+56s=21
79s=21
79/79 21/79
s=0.265822785
Find a number whose product with six is the same as its sum with 45
1. Make the equation. The product of the number and 6 equals the sum of the number and 45, so the equation would be 6x = x + 45.
2. Subtract x from both sides. You'll get 6x - x = 45.
3. You can combine like-terms by subtracting 6x - x. This is the same as 6x - 1x, which is 5x. You'll get 5x = 45.
4. Divide both sides by 5 to get x = 9.
Therefore, the number is 9.
AnimeBrainly PleaseHelp!
1. Tom and his best friend Edward are seeking to join a gym. Tom saw on television that Platinum Gym was having a grand opening in a few months. Tom is considering a membership at Platinum Gym. Platinum Gym charges a one-time registration fee of $60, and membership is $20 a month. Tom's best friend Edward says he plans to join Super Fit because Super Fit only charges $10 a month but has a one-time registration fee of $150.
(a) Write an expression to represent the membership cost of Platinum Gym for x months.
(b) Write an expression to represent the membership cost of Super Fit for x months.
(c) If Tom decides to join Platinum Gym and Edward joins Super Fit, who would pay less during the first month of membership? Who would pay less after a year of membership? Show your work.
(d) Is there a membership period for which Tom and Edward would pay the same amount? If so, how long would this membership be and how much would it cost? Show your work.
(e) Which gym membership is a better deal? Explain why.
1.
Platinum Gym charges a one-time registration fee of $60, and membership is $20 a month.
Super Fit charges a one-time registration fee of $150, and membership is $10 a month.
(a) Write a expression to represent the membership cost of Platinum Gym for x months.
Let x = months
20x + 60 is your expression
(b) Write an expression to represent the membership cost of Super Fit for x months
Let x = months
10x + 150 is your expression
(c) You are solving for both one month and twelve months of membership.
One month: Plug in 1 for x.
20(1) + 60 = 20 + 60 = 80
10(1) + 150 = 10 + 150 = 160
Platinum Gym is cheaper overall for one month by $80
One year: There are twelve months in a year. Plug in 12 for x.
20(12) + 60 = 240 + 60 = 300
10(12) + 150 = 120 + 150 = 270
Super Fit is cheaper than Platinum Gym overall for one year by $30
(d) Set the two expression equal to each other.
20x + 60 = 10x + 150
Isolate the x. Subtract 10x and 60 from both sides
20x (-10x) + 60 (-60) = 10x (-10x) + 150 (-60)
20x - 10x = 150 - 60
Simplify
20x - 10x = 150 - 60
10x = 90
Isolate the x. Divide 10 from both sides
10x/10 = 90/10
x = 9
It takes 9 months for the cost to be the same.
(e) It really depends on how long you want to work out at a gym. If you are working out for less than a year, than Platinum Gym is the better choice. If more than a year, then Super Fit is the better choice.
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hope this helps
John played a note on his tuba that vibrated the air 120 times per second. If you play the note for 4 seconds, how many times in the air vibrate?
480
This is this awnser because its 120 a second, for 4 seconds so 4 times 120 = 480.
Well the equation is rate*time=work/distance(in this case total vibrations)
Now we plug in the numbers:
(we know that 120 times per second is the rate because it uses the word per)
(4 seconds is the time because the unit is just seconds)
12*4=48*10=480
120*4=480
The answer is 480 vibrations
Hope this helps :)
If you have an email that is stressing you out and you sleep on it before emailing it, you have shown which character trait?
Question 3 options:
Self-control
Humility
Kindness
Noah runs 15 feet per second. Jake runs 101 feet in 8 seconds. Debbie runs 1 mile in 45 seconds. Stephanie runs 869 feet in 1 minute. Who runs the fastest?
Answer:Noah runs the fastest, u gave me the wrong answer!!!!!!!!!
Step-by-step explanation:
complete table of values 5x-4y=20
34' of 34 into 45. that's your answer.
PLLZ HELP! Solve each given equation and show your work. Tell whether it has on solution, and infinite number of solutions, or no solutions, and identify each equation as an identify, a contradiction, or neither.
(a) 2x + 3x - 6 = 10 + 4x
(b) 17 + 5x = 23 + 4x - 6 + x
(c) 7x + 4 = 5x + 8 + 2x - 10
a. 2x+3x-6=10+4x
5x-6=10+4x
5x-4x=10+6
x=16
one solution
b. 17+5x=23+4x-6+x
17+5x=17+5x
infinite number of solutions
c. 7x+4=5x+8+2x-10
7x+4=7x-2
no solution
(a) 2x + 3x - 6 = 10 + 4x ---> Answer: x = 16, it has one solution, it is an identity.
Adding the like terms on the same side of the equation to solve for x:
2x + 3x - 4x = 10 + 6
x = 16
(b) 17 + 5x = 23 + 4x - 6 + x ---> Answer: it has infinite number of solutions, it is a contradiction
Adding the like terms on the same side of the equation to solve for x:
5x - 4x - x = 23 - 17 - 6
5x - 5x = 6 - 6 (this equation is cancelling everything on each side so it can not be true no matter what value we assign, therefore it has infinite number of solution)
(c) 7x + 4 = 5x + 8 + 2x - 10 ---> Answer: no solution, its a contradiction.
Adding the like terms on the same side of the equation to solve for x:
7x - 5x - 2x = -10 + 8 - 4
7x - 7x = -6 (the terms of x are cancelled by each other, therefore no solution.
A theater sells adult tickets for $8.00 and children’s tickets for $5.50
Let Total = t, adult tickets = a, children's ticket = c, total cost = T
t = a + c
T = 8a + 5.50c
is your system equation.
hope this helps
Which of the following is an example of a chemical change?
Select one:
a. The shell of an egg breaks when it is struck against a hard surface.
b. A mixture of flour, sugar, eggs, and butter is baked to become a cake.
c. Flour and sugar are sifted together into a measuring cup.
d. Chocolate squares are melted to make cake icing.
The answer is B.
To find the answer you can immediately cross out A and C. You're left with a mixture of ingredients that turn into a cake or choclate melting. Chocolate melting is a physical change so by using the process of elimination you can conclude that B is the correct answer.
Answer:
The correct answer is option B.
Step-by-step explanation:
We call chemical change to the process where two or more substances are transformed into other substances.
During this change, the substances will have a modification in the structure of their molecules and their bonds.
In the case of the example we can see how different substances (flour, sugar, eggs and butter) will change the shape of their structure to form another substance: the cake. This cake will receive the name of product.
Given this information, we can say that the correct answer is option B.
A postcard collector has 1,230 postcards. If she displays them on pages that hold 6 cards each, how many pages does she need?
First you have to divide 1,230 by 6:
1,230 ÷ 6 = 205
She will need 205 pages to display all 1,230 of her cards