The table shows how much Li earns for moving different numbers of lawns. Write an algebraic expression that describes the total earnings for n lawns.
Answers
Answer:
15n
Step-by-step explanation:
Given
The above table
Required
The formula of the table
First, calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{n_2 - n_1}[/tex]
Where:
n = Number of Lawns
y = Earnings
[tex](n_1,y_1) = (2,30)[/tex]
[tex](n_2,y_2) = (5,75)[/tex]
So, we have:
[tex]m = \frac{75 - 30}{5 - 2}[/tex]
[tex]m = \frac{45}{3}[/tex]
[tex]m = 15[/tex]
The equation is then calculated as:
[tex]y = m(n- n_1) + y_1[/tex]
This gives:
[tex]y = 15(n- 2) + 30[/tex]
[tex]y = 15n- 30 + 30[/tex]
[tex]y = 15n[/tex]
Hence:
B is correct
Related Questions
Which choices are correct when determining the distance between -240 and -35 on a number line?
Answers
Answer:
A
Step-by-step explanation:
240-35)=205
240-35
205
Answer:
Step-by-step explanation the first one
QUESTION BELOW PLEASE HELP
Answers
Answer:
61°
Step-by-step explanation:
180° - 119° = 61°
The hypotenuse of a certain triangle is 5 units long and one leg is 3 units long
Did the area of the triangle
Answers
Answer:
6 units^2
Step-by-step explanation:
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]3^{2} +b^{2} =5^{2}[/tex]
[tex]9+b^{2} =25[/tex]
[tex]b^{2}=16[/tex]
[tex]b=4[/tex]
Area of the triangle = Base * Height * 1/2 = 3 * 4 * 1/2 = 6 units^2
What is the surface area of the figure? 408ft^2 458ft^2 545ft^2 720ft^2
Answers
9514 1404 393
Answer:
(b) 458 ft²
Step-by-step explanation:
The total area is the sum of the L-shaped front and back areas and the areas of the 6 rectangular faces.
The front L-shaped area can be considered to be a 12 ft × 12 ft square with a 5 ft × 7 ft rectangle cut from the upper left corner. Its area is then ...
(12 ft)(12 ft) -(5 ft)(7 ft) = (144 -35) ft² = 109 ft² . . . . front area
__
The sum of the areas of the rectangular faces is the product of the width of the figure (5 ft) and the perimeter of the L-shaped face. That perimeter is the sum of the edge lengths. Starting from the lower-left corner and working clockwise, we find the perimeter to be ...
7 ft + 7 ft + 5 ft + 5 ft + 12 ft + 12 ft = 48 ft
Then the sum of rectangular face areas is ...
(48 ft)(5 ft) = 240 ft² . . . . rectangular face area
The total surface area is then ...
2×front area + rectangular face area
= 2×109 ft² +240 ft² = 458 ft² . . . . total surface area
The test results for 4 students are: 96, 83, 78, and 83. If one more student's test score of 87 is added, what would increase?
A
median
B
mean
C
mode
D
range
Answers
Answer:
b
Step-by-step explanation:
use a long method division to calculate 145 413 by 321
Answers
Answer:
i dont know because you have not really explained it
Step-by-step explanation:
The quotient of the division of 145413 by 321 is 453.
What is Division?Division is one of the operation in mathematics where number is divideD into equal parts as that of a definite number.
We are using long division method here.
For that dividend is 145413 and divisor is 321.
First take the first some digits of dividend which is greater than 321.
That is the first four digits, 1454.
The multiple of 321 closest to 1454 is 1284 which is equal to 4 × 321
So the first digit of quotient is 4.
1454 - 1284 = 170
Now 170 is less than 321.
Add the next digit of the dividend to 170.
It becomes 1701.
Multiple of 321 closest to 1701 is 1605 which is equal to 5 × 321.
The next digit of the quotient is 5.
1701 - 1605 = 96
Again since 96 less than 321, take the next digit of the dividend and the number becomes 963.
Now 963 is a multiple of 321, where 963 = 3 × 321
So the next digit of the quotient is 3.
Quotient = 453
Hence the quotient of the given division is 453.
Learn more about Division here :
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What is 6% of 7500 + 5% of 7500
Answers
Answer: It should be 825
Step-by-step explanation:
.05*7500= 375
450+375= 725
Answer is 725
of the students in the lunch room 40% are girls there are 20 girls in the the lunch room how many students are in the lunch room
Answers
Answer:
50 students
Step-by-step explanation:
20 is 40% of 50
because 50 x .40 = 20
Hope this helps!
Answer:
30
Step-by-step explanation:
40%/2=20%
20/2=10
100%-40%=60%
60%/3=20%
10x3=30
there are 12 eggs of the same weight on the scale. the total weght is 620g determine the total weight if the number of eggs is increased to 20
Answers
Answer:
1033.2 g or 1.033 kg
Step-by-step explanation:
(620/12)(20) = 1033.2 g
If AD is the perpendicular bisector of EB, find each measure.
Answers
Answer:
look at the picture
Step-by-step explanation:
I'm not sure about the value of x but I believe it is -23
Which of the following represents 104Σ6?
n=1
O (1 x 6) + (104 x 6) = 630
O (1x6) (104 x 6) = 3,744
O 6(104) = 624
O 6(104 - 1) = 618
Answers
Answer:
C. 6(104)=624
Step-by-step explanation:
edge quiz
The equivalent expression of [tex]\sum \limits^{104}_{n = 1} {6}[/tex] is 6(104) = 24
How to evaluate the sigma notation?The sigma notation is given as:
[tex]\sum \limits^{104}_{n = 1} {6}[/tex]
The above means that we add 6 in 104 places.
i.e. 6₁ + 6₂ + ................ + 6₁₀₄
The expression can be expressed using the following product
[tex]\sum \limits^{104}_{n = 1} {6} = 6 * 104[/tex]
Evaluate the product
[tex]\sum \limits^{104}_{n = 1} {6} = 624[/tex]
Hence, the equivalent expression of [tex]\sum \limits^{104}_{n = 1} {6}[/tex] is 6(104) = 24
Read more about sigma notation at:
https://brainly.com/question/1799839
Questions and answers attached
Answers
Answer:
(3)(c) + 43 ≥ 100
Step-by-step explanation:
Given:
Total number of friends = 3 friends
Number of card already have = 43
Total number of card at least want to collect = 100
Find:
Inequality
Computation:
Assume;
Same number of card each friend collect = c
Total number of card at least want to collect ≤ (Total number of friends)(Same number of card each friend collect) + Number of card already have
Total number of card at least want to collect ≤ (3)(c) + 43
100 ≤ (3)(c) + 43
(3)(c) + 43 ≥ 100
please help..I dont get this and please Dont put a Link below please.
Answers
Answer:
x = 27, y = 74
Step-by-step explanation:
Hi again :)
Since the angles of 5x + 4 and the one adjacent to x = 14 are corresponding angles, they are equal. That means that (5x + 4) + (x + 14) = 180 degrees.
5x + 4 + x + 14 = 180
6x + 18 = 180
6x = 162
x = 27
Also, the angle (5x + 4) and (2y - 9) are vertical angles, they are equal in value. We know the value of x now, so we'll substitute that in and solve for y.
5(27) + 4 = 2y - 9
135 + 4 = 2y - 9
139 = 2y - 9
148 = 2y
y = 74
As always, lmk if you have questions.
Factor the quadratic expression completely.
-7x^2-24x-9
Answers
Answer:
(7x+3)(-x-3)
Step-by-step explanation:
-7x²-24x-9 would be the same thing as (7x+3)(-x-3) because 7x*-x=-7x², +3*-3=-9, and 7x*-3 - 3x = -24x
Can you figure out the missing number
Answers
Answer:
probably 6 thats one of the missing ones
What is the equation needed to solve for X?
Answers
Answer:
[tex]x - 8 + 4x - 7 = 180 \\ \\ 5x - 15 = 180 \\ \\ 5x = 180 + 15 \\ \\ 5x = 195 \\ \\ x = 195 \div 5 \\ \\ x = 39 \\ [/tex]
A clothing salesperson earns a 10% commission on a $65
sale. How much is the commission?
Answers
Evaluate the expression when a = 6 and x = -3.
-a+7x
Answers
How many tenths and how many hundreds are represented in 65/100?
(by the way this is about decimals)
What is the decimal form for 65/100?
Please explain the answers
Answers
Answer:
There are 60 tenths and 5 hundreths
the decimal form is 0.65
Step-by-step explanation:
Brandon has 10 but each bag has 6 chocolates how many chocolates does he have in total
Answers
Answer:
10 what
Step-by-step explanation:
Sun works in a bakery and wants to know how many ounces of flour are in 5 flour sacks. If each sack contains 52 lbs of flour, how much is the total weight of the flour in ounces 1lb = 16 oz
Answers
5x52 = 260
260x16=4160
help help please i did not understand
Answers
Answer:
The tree grows 3,14 centimeters per year
Answer: First you have to look at the years and see how much it increase each year. We start by seeing that in 1 year it is 3.14. In two years it will be 6.28. So, the answer each year the tree gets older it is 3.14 that you have to add. Hope it helps.
Step-by-step explanation:
A factory produces blue pens and black pens. Each week, 2/3 of the pens produced at the factory are black.
Write and solve an equation that can be used to determine the number of blue pens (x) produced at the factory in a week when 45,000 pens are produced.
Answers
Answer:
15,000
Step-by-step explanation:
1/3 times 45,000 = 15,00
The number of blue pens produced at the factory in a week when 45,000 pens are produced is 15,000.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given that,
A factory produces blue pens and black pens.
2/3 of the pens produced at the factory are black.
If T is the total pens produced at the factory, then the number of black pens produced is 2/3 T.
Number of blue pens = T - 2/3 T = 1/3 T
Given that,
Total pens produced = 45,000
Equation to find the number of blue pens is,
x = 1/3 × 45,000
Solving,
x = 15,000
Hence the number of blue pens produced is 15,000.
Learn more about Equations here :
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Jamal and Brianna each bought 3 oranges. They sliced each orange into 6 pieces. How many oranges slices did Jamal Brianna have altogether?
Answers
Answer:The Answer is 18
Step-by-step explanation:if you have 3 oranges and each orange is sliced into 6 pieces each you multiply 3 by 6 and you get 18 and how you get 18 is you can add 6 three different times. :)
According to some sources, the African continent has about 170 million Internet users. According to the bar graph, which statement is true?
Africa has fewer users than the Middle East.
Africa has more users than Asia.
Africa has more users than Europe but fewer than Asia.
Africa has more users than the Middle East but fewer users than North America.
Answers
Answer:
D) Africa has more users than the Middle East but fewer users than North America.
Step-by-step explanation:
Hope it helps :)
Rewrite -11 + x=7 use the same number just other orders
Answers
Answer:
7 = -11 + x
you can also do x - 11 = 7 or 7 = x - 11
hope these are the rewrites you are looking for
Step-by-step explanation:
In how many ways can 21 be expressed as the sum of 3 prime numbers?
Answers
Answer:
I think by using a prime factor tree
The product of a number and 3 increased by 9 is less than -42
TRANSLATE
Answers
Answer:
3x+9 < - 42
Step-by-step explanation:
It takes Andre 4 minutes to swim five laps, if Andre swims 22 laps, at the same rate as she swam 5 laps, how long does it take him?
Answers
Answer:
17.6
Step-by-step explanation:
But im not sure if u can use decimals
Montraie is going to see a movie and is taking his 2 kids. Each movie ticket costs $13
and there are an assortment of snacks available to purchase for $3.50 each. How
much total money would Montraie have to pay for his family if he were to buy 4
snacks for everybody to share? How much would Montraie have to pay if he bought X
snacks for everybody to share?
Answers
cost of 4 snacks
Answer: 53
Total cost: 3.50× + 39