You and a group of friends take turns planting 2 trees each at a campsite. After the first person plants 2 trees, there are 12 trees at the campsite. A. Write an equation for the nth term of the arithmetic sequence. Let n represent the position in the sequence and let an represent the number of trees. C. After 8 more people plant trees, how many trees are at the campsite?
Answer:
The equation for the nth term will be;
An = 10 + 2n
After the 9th planter ( 8 more than the initial one); number of trees will be 28
Step-by-step explanation:
After the first person plant two trees, there were 12 trees at the plant sites
What this mean is that initially, they were 12-2 = 10 trees at the plant site
The nth term of the sequence which represents the number of trees given the number of persons that have planted will be;
An = 10 + 2n
Now, after 8 more people planted, since we had one that already planted, the total number of planters is now 9 planters
So using the equation, n will be 9
So ; A9 = 10 + 2(9)
A9 = 10 + 18
A9 = 28
If a 5 and b=4, then 2a +b=
An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression 2a+b when the value of a is 5 and b is 4 is equal to 14.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given the expression 2a+b, whose values are needed to be calculated when the value of a is 5 and the value of b is 4. Therefore, the value of the given expression 2a+b can be written as,
2a + b
Substitute the value of a and b,
= 2(5) + 4
= 10 + 4
= 14
Hence, the value of the expression 2a+b when the value of a is 5 and b is 4 is equal to 14.
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what is the approximate area of the shaded sector in the circle below?
Answer:
they deleted my account
Step-by-step explanation:
What is the equation of the graphed polynomial below?
1
y = (-x + 2)2(-x + 3) 3
y = -(x + 2)2(x - 3)3
y = (x + 2)²(x - 3)2
y = (x - 2)*(x - 3)2
Answer:
D. y=(×-2)^3(×-3)^3
Step-by-step explanation:
the x and y axis interception
Given the points (6, -6) and (1,7) find the slope.
Answer:
Step-by-step explanation:
m= rise over run
m= -13/5
Anwser: -13/5
Step-by-step explanation:
use the slope formula
y2-y1/x2-x1
mark your points(makes it easier)
(6,-6) (1,7)
x1. y1. x2 y2
plug in your points
(7-(-6)
1-(6)
= -13/5 (slope)
I would REALLY appreciate some help... :(
Evaluate the expressions 7-9
Answer:
7. 64
8. -100000
9. 729
Step-by-step explanation:
pls help me whats 5x4
Give triangle abc is congruent to triangle def find x
Answer:
x=9
Step-by-step explanation:
FE is 3x-7
since ΔABC≅ΔDEF the equivalent of FE is CB, or BC...which is 20
3x-7=20
3x=27
x=9
work out the area of a semi circle take pi to be 3.142 and five your answer to two decimal places
Answer:
what are the measurements of the semi circle
Step-by-step explanation:
Carlita planted 4 flowers in 6 minutes. About how many flowers can Carlita plant in 36 minutes?
Answer:
24
Step-by-step explanation:
[tex]\frac{4}{6} =\frac{x}{36}[/tex]
[tex]\frac{4}{6} *\frac{6}{6} =\frac{24}{36}[/tex]
[tex]x = 24[/tex]
Hope this helps and pls do mark me brainliest if you can:)
Answer:
24
Step-by-step explanation:
6*6=36, so she has 6 times as much time to plant with 36 minutes.
4*6=24, so she can plant 24 flowers in 36 minutes.
Simplify (62)2 what does it equal
Answer:
124
Step-by-step explanation:
62 * 2 = 124
I hope this helped! Please mark Brainliest, thank you so much!!!
An art teacher has 28 students in her first-period class and 24 students in her second-period class. If almost 30% of the students in these classes are boys, about how many boys are in her first two classes?
A. 36
B. 15
C. 8
D. 7
Solve the system using elimination (15 points)
2x+3y=9
x+5y=8
Answer: (3,1)
Step-by-step explanation:
2x + 3y = 9
(x + 5y = 8) -2
2x + 3y = 9
-2x - 10y = -16
-7y = -7
y = 1
2x + 3(1) = 9
2x = 6
x = 3
1. What is the predecessor of whole
number o?
Step-by-step explanation:
The number which comes just before a particular number is called its predecessor. The predecessor of a whole number is one less than the given number. How to find the predecessor of a number? Clearly, the predecessor of 1 is 0; predecessor of 2 is 1; predecessor of 3 is 2 and so on.
Answer:
-1
Step-by-step explanation:
Predecessor of number is 1 less than it.
0-1 = -1
PLS GIVE BRAINLIEST
In a recent survey, 230 or 46% of the sample, said they usually ate fast food when they went out to eat. How many people were surveyed?
Answer:
500.
Step- by-step explanation:
46% = 0.46 as a decimal fraction.
So it is 230 / 0.46
= 500.
helpp 20 points!!!!!!!!!!!!
Answer: It is Region B. Please mark me brainiest.
Step-by-step explanation:
Original price: ?
Percent of discount: 25%
Sale price: $45
Answer:
Original price is 11.25
Step-by-step explanation:
Answer: 60
The percent of sale price is 100% - 25% = 75%
the original price is (45/75).100 = 60$
Step-by-step explanation:
Mrs. Perez has 28 students and 5 7 of those students participate in school sports. How many of Mrs. Perez’s students participate in school sports? To solve this problem, use . of Mrs. Perez’s students participate in school sports.
Answer:
20 students
Step-by-step explanation:
Turn 28 into an improper fraction. Multiply 28 by 5 and multiply 7 by 1. You will have 140/7, which equals 20.
Answer:
well.. To solve this problem, use multiplication and
20 of Mrs. Perez’s students participate in school sports
Step-by-step explanation:
How much money is collected in tolls if 55 two axle cars cross the bridge? Type your answer in a
complete sentence.
Y•55=x
Step-by-step explanation:
Which answer choice best describes 3x ?
terms
constant
coefficient
factor
Solve the inequality >7
t/4>7
Answer:
t > 28
Step-by-step explanation:
Given
[tex]\frac{t}{4}[/tex] > 7 ( multiply both sides by 4 to clear the fraction )
t > 28
Which points (0,6) (7,9) (2,3) go through the line 3x+2y=12
0/1 Julio plans a diet to gain 0.2 kg a day. After 14 days he weighs 40 kg. The number days he diets and his weight are related. How much does Julio weigh the day he starts his diet?
Answer:he weighs 37.2
Step-by-step explanation:
Which equation could represent Relationship A?
Hours worked is represented by x and Amount paid is represented by y.
Select each correct answer.
y = 18.3x
y = 18x
y = 18.1x
y = 18.6x
Select the correct answer.
Which function has the same graph as x + y = 11?
A.
f(x) = -y + 11
B.
f(x) = -x + 11
C.
f(x) = x − 11
D.
f(x) = y − 11
Answer:
B. f(x) = -x + 11Step-by-step explanation:
y = f(x)
therefore
x + y = 11 → x + f(x) = 11 |subtract x from both sides
x - x + f(x) = 11 - x
f(x) = -x + 11
The correct function is f(x) = 11 - x, has the same graph as x + y = 11, which corresponds to option B.
Therefore, the correct answer is:
B. f(x) = -x + 11
Here,
To find the function with the same graph as x + y = 11,
we need to isolate y in the equation to make it of the form y = f(x).
Given equation: x + y = 11
Subtract x from both sides of the equation:
y = 11 - x
Now, we have the equation in the form y = f(x).
so, we get, f(x) = -x + 11
i.e. The function which has the same graph as x + y = 11 is: f(x) = -x + 11
so, we have,
The correct function is f(x) = 11 - x, has the same graph as x + y = 11, which corresponds to option B.
Therefore, the correct answer is:
B. f(x) = -x + 11
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Write the equation of a line with the slope of -7 and passing through the point (2, 2).
Answer:
y=-7x+16
Step-by-step explanation:
y-y=m(x-x1)
y-2=-7(x-2)
y-2=-7x+14
+2 +2
y=-7x+16
Sally spent a long time searching for the perfect tree. She could look in 6 stores in 45 minutes. If she shopped for 2 hours, how many stores did she visit?
Answer:
24
Step-by-step explanation:
Sally visited 16 stores when shopping for 2 hours.
Since Sally could look in 6 stores in 45 minutes. Hence:
Time spent in each store = 45 minutes/6 stores = 7.5 minutes per store.
Given a time of 2 hours = 2 hours * 60 minutes per hour = 120 minutes
Number of stores visited in 2 hours = 120 minute / 7.5 minute per store = 16 stores
Therefore Sally visited 16 stores in 2 hours.
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A farmer sells his com for $320 a metric ton with a small surcharge of $25. His neighbor sells her corn crop for $320 a
metric ton and gives a $20 rebate. Write the cost model equations for both farmers and find the amount of corn that
makes the costs equal.
g(x) = 9(2x2 + 6
)
Determine g(1)
Answer:
g(1) = 72
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
g(x) = 9(2x² + 6)
g(1) is x = 1
Step 2: Solve
Substitute: g(1) = 9(2(1)² + 6)Evaluate: g(1) = 9(2(1) + 6)Multiply: g(1) = 9(2 + 6)Add: g(1) = 9(8)Multiply: g(1) = 72Witch graph represents the equation
-3x+4y=-12
Answer:
Of the ones you are showing us, C is the only answer with -4 being the y-int
Answer:
C is the correct graph
Step-by-step explanation:
The slope is 3/4
x l y
0 l -3
4 l 0