Answer: 12n + 60
Step-by-step explanation:
So first you have to distribute the 5 in the parentheses.
(5)(n + 12) = 5n + 60
5n + 60 + 7n
Then add like terms.
12n + 60
3. Sam and Tim each have savings accounts. Every month they each put in some of their
earnings from mowing lawns. Use the tables to find the y-value of the solution to the
system shown.
х
1
2
3
4
f(x)
80
110
140
170
х
1
2
3
4
g(x)
100
120
140
160
Answer:
[tex]y = 30x +50[/tex] --- Sam
[tex]y = 20x +80[/tex] --- Tim
Step-by-step explanation:
Given
Sam Tim
х --- f(x) --------------- g(x)
1 --- 80 --------------- 100
2 --- 110 --------------- 120
3 --- 140 --------------- 140
4 --- 170 -------------- 160
Required
Determine the y value
y value implies the equation of the table
Calculating the equation of Sam
First, we need to take any corresponding values of x and y
[tex](x_1,y_1) = (1,80)[/tex]
[tex](x_2,y_2) = (4,170)[/tex]
Next, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{170 - 80}{4 - 1}[/tex]
[tex]m = \frac{90}{3}[/tex]
[tex]m = 30[/tex]
Next, we calculate the line equation using:
[tex]y - y_1=m(x-x_1)[/tex]
[tex]y - 80 = 30(x - 1)[/tex]
[tex]y - 80 = 30x - 30[/tex]
Make y the subject
[tex]y = 30x - 30 + 80[/tex]
[tex]y = 30x +50[/tex]
Calculating the equation of Tim
First, we need to take any corresponding values of x and y
[tex](x_1,y_1) = (1,100)[/tex]
[tex](x_2,y_2) = (4,160)[/tex]
Next, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{160 - 100}{4 - 1}[/tex]
[tex]m = \frac{60}{3}[/tex]
[tex]m = 20[/tex]
Next, we calculate the line equation using:
[tex]y - y_1=m(x-x_1)[/tex]
[tex]y - 100 = 20(x - 1)[/tex]
[tex]y - 100 = 20x - 20[/tex]
Make y the subject
[tex]y = 20x - 20+100[/tex]
[tex]y = 20x +80[/tex]
a size 8 kids shoe measures 9 2/3
In which quadrant does the point S(-3, -4) lie?
quadrant I
quadrant II
quadrant III
quadrant IV
It would be quadrant III
Answer:
Quadrant 3
Step-by-step explanation:
Quadrant 3: (-, -)
a number, a variable, or a product of a number and one or more variables
Answer:
Polynomials
Step-by-step explanation:
$40 game; 30% off; 5% tax
The data was modeled with a linear best-fit function. What was the initial
purchase price?
X Y
4. 5,000
7. 6,875
9. 8,125
12. 10,000
A. $625
B. $2,500
C. $5,000
D. $5,625
Answer:
c
Step-by-step explanation:
Carmen has taken out a loan for $800 to buy a car. She plans to pay back the loan at a rate of $40 per month. Ramona has borrowed $500 to buy a car, which she plans to pay back at a rate of $20 per month.
How long will it take Ramona to pay back her loan?
Answer:
It will take Ramona 25 months or 2 years and 1 month to pay back for the car.
what number line shows the solution of -5x + 10 > -15
Answer: x<5
Step-by-step explanation: Subtract 10 from both sides. Simplify -15-10 to -25. Divide both sides by -5. Two negatives make a positive. Simplify 25/5 to 5.
Which formula do we use to reflect over the y=x line
(x, y) → (y,x)
(x, y) → (-y, -x)
(x, y) = (-x, y)
(x, y) = (x, -y)
Answer:
the first one on the list because it said refect
The sum of three numbers $x$ ,$y$, $z$ is 165. When the smallest number $x$ is multiplied by 7, the result is $n$. The value $n$ is obtained by subtracting 9 from the largest number $y$. This number $n$ also results by adding 9 to the third number $z$. What is the product of the three numbers?
Just take the $ out
You're given
x + y + z = 165
7x = n
n = y - 9
n = 9 + z
and you want to find xyz.
Solve the last three equations for x, y, and z :
7x = n → x = n/7
n = y - 9 → y = n + 9
n = 9 + z → z = n - 9
Substitute x, y, and z into the first equation and solve for n :
n/7 + (n + 9) + (n - 9) = 165
n/7 + 2n = 165
n + 14n = 1155
15n = 1155
n = 77
Now solve for x, y, and z :
x = 77/7 = 11
y = 77 + 9 = 86
z = 77 - 9 = 68
Then the product is
xyz = 11 • 86 • 68 = 64,328
The product of the three numbers is 8,192,040. The sum of three numbers x, y, z is 165: x + y + z = 165
The problem states:
1. When the smallest number x is multiplied by 7, the result is n: 7x = n
2. The value n is obtained by subtracting 9 from the largest number y: n = y - 9
3. The value n is also obtained by adding 9 to the third number z: n = z + 9
Now, let's proceed to find the values of x, y, z, and n:
From equation (2), we can express x in terms of n:
x = n/7
Now, substitute the value of x in equation (1):
(n/7) + y + z = 165
From equation (3), we can express y in terms of n:
y = n + 9
Now, substitute the value of y in the equation above:
(n/7) + (n + 9) + z = 165
From equation (4), we can express z in terms of n:
z = n - 9
Now, substitute the value of z in the equation above:
(n/7) + (n + 9) + (n - 9) = 165
Combine the terms with n:
3n/7 = 165
To isolate n, multiply both sides by 7/3:
n = 165 * (7/3)
n = 385
Now, we have the value of n, which is 385. To find the values of x, y, and z, substitute n back into the respective equations:
x = n/7 = 385/7
≈ 55
y = n + 9 = 385 + 9
= 394
z = n - 9 = 385 - 9
= 376
Now, we have the values of x, y, z, and n:
x = 55,
y = 394,
z = 376,
n = 385
To find the product of the three numbers, simply multiply them:
Product = x * y * z
= 55 * 394 * 376
≈ 8,192,040
So, the product of the three numbers is 8,192,040.
To know more about three numbers:
https://brainly.com/question/30269736
#SPJ2
Sara has $180 to spend on a mixture of oranges and bananas. The oranges cost $3 per pound and the bananas cost $2 per pound. What equation can she use to graph a line showing the different amounts of oranges and bananas she can buy for $180?
Explain what does each elements of the equation represent.
pleasee guys i need help
Answer:
365
Step-by-step explanation:
2+3+180+180=
I NEED HELP STAT
=12×0.75
Answer:
9
Step-by-step explanation:
use a calculator of just think about it
Answer:
9.00
Step-by-step explanation:
What is the simplified ratio of female to male students in a class, if there are 18 boys and 9 girls?
Each ___ in a cell has its own specific function.
Answer:
organelle
Explanation: Mitochondria and the cell wall are both examples of organelles since they have their own specific functions (Mitochondria produces the energy and the cell wall protects the cell from things that might be a danger to the cell.
Each "organelle " in a cell has its own specific function.
What is organelles ?Mitochondria and the cell wall are both examples of organelles since they have their own specific functions. Mitochondria produces the energy and the cell wall protects the cell from things that might be a danger to the cell.
A Cellular respiration is a component of a metabolic process which splits the glucose sugar molecule to produce energy in the form of ATP.
Since we know that Krebs' cycle, oxidative phosphorylation, and glycolysis are all components of cellular respiration.
The cellular respiration activities take place in the mitochondria of the cell, where the oxygen-rich environment which causes the sugar-like glucose to break down into an energy molecule.
A cell organelle having a membrane is a 'mitochondria'. It is a location for cellular respiration and metabolic activities which produce energy.
Learn more about mitochondria by using this link:
brainly.com/question/10688306
#SPJ6
Can someone please help with writing this out as equation?
The student council has decided to sell t-shirts with a school logo to promote school spirit. Amanda investigated 1 company that would charge $75 to make the printing screen for the shirts, and then $5.50 per shirt. Adam checked out a 2nd company that would charge a straight $7 per shirt. Which company's option would respresent a proprtional relationship? You should support your answer with an equation, a table of values, or a graph.
I NEED HELP ASAP IT IS DUE TODAY!!,
Lori needs a length of twine 8.5 meters long to mark a row in her garden. Andrew needs a length of twine 7.28 meters long for his row. They have one length of twine that measures 16.29 meters.
After they each take the lengths they need, how much twine will be left?
Answer:
.51 meters of twine
Step-by-step explanation:
add the numbers of twine they each need which is 15.78 then subtract the 16.29 they have minus the 15.78 they need now you have a left over .51 meters
Use the translation rule (x, y) (x - 2y 7) to find the image of F(-2, 6)
Answer:
Use photomath and look at each step! Sorry I would help but I’m bad at math.
Step-by-step explanation:
i need help pls 1 - 8 thanks
Answer:
1. 0.5454
2. 8
3. 0.6785
4. 1.1428
5. 6
6. 1.5
7. 1.75
8. 1.6666
Step-by-step explanation:
calculator :)
Bob bought the 24 fish for $51.36. How much did each fish cost him? Show your calculation.
Answer:
2.14
Step-by-step explanation:
2.14x24=51.36
What is the recursive formula for this sequence? 12, 16, 20, 24, 28, ...
Answer:
A
Step-by-step explanation:
first term is 12, and following terms are obtained adding 4 to previous term.
Identify the graph of the inequality 2(2x - 1) + 7 < 13 or -2x + 5 5–10.
-10
-5
0
5
10
+
5
O!
0
-10
5
10
-10
-5
0
5
10
DONE
Answer:
20
Step-by-step explanation:
good luck
Can someone help with this please?
Answer:
a) Function 1 has the greatest y-intercept
b) Only function 2 has a slope less than -2
c) Function 4 has the least steep slope
Answer:
1. Function 1
2. Function 2
3. Function 4
Step-by-step explanation:
y-intercept: Function 1: 4, Function 2: 1, Function 3: -5, Function 4: -2
- Function 1 has the highest y-intercept
slope less than -2: Function 1: 2, Function 2: -4, Function 3: 5, Function 4: -1
- Function 2 has a slope lower than -2
least steep graph: Function 1: steepness 2, Function 2: steepness 4, Function 3: steepness 5, Function 4: steepness 1
- Function 4 has the steepest graph
Is 500% of 9 less than 10, greater than 10 but less than 100, or greater than 100?
Math please help 20 points plus brainly if you can answer each question.
The perimeter of a rectangle is 40 cm. The length is 14 cm.
Let x = width of the rectangle.
Ravi says he can find the width using the equation 2(x + 14) = 40.
Fran says she can find the width using the equation 2x + 28 = 40.
Answer the questions to solve the equations and to compare the steps and solutions.
1. Which of these is the most helpful first step for solving Ravi's equation, 2(x + 14) = 40?
Circle the best answer.
Add 14 to both sides
Subtract 14 from both sides
Divide both sides by 2
Multiply both sides by 2
2. What would your next step be?
Write your answer in the space below.
3. Solve Ravi's equation, 2(x + 14) = 40, to find the width of the rectangle. Show your work.
Write your answer in the space below.
4. Which of these is the most helpful first step for solving Fran's equation, 2x + 28 = 40?
Circle the best answer.
Multiply both sides by 2
Subtract 28 from both sides
Divide both sides by 2
Add 28 to both sides
5. What would your next step be?
Write your answer in the space below.
6. Solve Fran's equation, 2x + 28 = 40, to find the width of the rectangle. Show your work.
Write your answer in the space below.
7. The two equations have different solution steps. Do they have the same solution? Use the distributive property to show why this answer makes sense.
Write your answer in the space below.
Answer:
number 1 is D
number 2 is distribute 2 into x and 14(multiplying) getting 2x+28=40
then subtract 28 from each side 40-28=12 after just simply divide 2x by its self and into 12 getting 6
number 3 is 12
number 4 is subtract 2 from both side
number 5 is divide
number 6 is 6
I hope this helps have a great day!
Step-by-step explanation:
PLS HELP PLS THE LAST QUESTION I ASKED PLSSSSS
Answer:
Okay nvm I have found it here is your graph I don't what type of graph you need so i will provide you with 2 of my choosings
Step-by-step explanation:
GIVING BRAINLIST Use the number line to answer the question. Each tick represents 1 unit.
Which of the following points represents the largest number?
P
M
J
H
Each day Louders reads 30 pages
Answer:
woww
Step-by-step explanation:
A triangle has side lengths of 21, 27, and 35 inches. Is it
right triangle?
Find the sum. Write your answer as a decimal.
-5.74 + 5.5 =
Answer:
-0.24
Step-by-step explanation:
Math is math i just know it in my head i do nt know how tpo explain itPlease help me with 4-6 ASAP I will give 30 points
Answer:
i did that paper made 100 but i was looking for it to help u and when i got it i tripped with my enchaladas im tryna clean it to get the answers
Step-by-step explanation: