Answer: C) f(n) = 20 + 2(n - 1)
Step-by-step explanation:
The explicit formula is: [tex]a_n=a_1+d(n-1)[/tex] where
[tex]a_1[/tex] is the first termd is the difference between consecutive termsGiven: In the first year he paid $20 --> [tex]a_1[/tex] = 20
Dues increase $2 each year --> d = 2
[tex]a_n[/tex] = 20 + 2(n - 1)
Answer:
C f(n) = 20 + 2(n – 1)
Step-by-step explanation:
got it right on test
Rearrange the formula C = 5 9 (F − 32) for F.
Answer:
F = 32 + (C/59)
Step-by-step explanation:
C = 59(F - 32)
C/59 = F - 32
(C/59) + 32 = F
Hence,
F = 32 + (C/59)
You have a part-time job. You earn $7.75 per hour. If you work 20 hours
each week, what is your straight-time pay for each week?
A. $140
B. $145
C. $148
D. $150
E. $152
F. $155
Answer:
F. $155
Step-by-step explanation:
For this problem we simply need to multiply the base hourly pay by the amount of hours worked to find the straight-time pay for each week.
$7.75 * 20 = $155
Thus, your weekly pay will be $155.
Cheers.
The perimeter of a triangle is 32 feet. One side of the triangle is 3 times the second side. The third side is 12 feet longer
than the second side. Find the length of each side.
We have a triangle whose perimeter is 32 feet. Some information regarding the sides of the triangle is given:
GiveN:
One side is 3 times the second side.Third side is 12 feet longer than the second side.As we can see that, two sides of the triangle are defined the second sides. It means First and third side can be expressed in the form of second side.
So let the second side be xThen,
First side = 3xAnd, third side = x + 12We know that, perimeters is the sum of the lengths of all sides of the triangle, So it can be written as:
[tex]3x + x + x + 12 = 32[/tex]
Solving it further,
[tex]5x + 12 = 32[/tex]
Subtracting 12 from both sides,
[tex]5x + 12 - 12 = 32 - 12[/tex]
[tex]5x = 20[/tex]
Dividing 5 from both sides,
[tex] \frac{5x}{5} = \frac{20}{5} [/tex]
[tex]x = 4[/tex]
Then,
First side = 3x = 12 feetSecond side = 4 feetThird side = x + 12 = 16 feetAnd we are done with the answer !!
#CarryOnLearning
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Factor Completely 4x^3 - 6x^2 + 16x - 24
Answer: 2(x+2i)(x-2i)(2x-3)
Step-by-step explanation:
Answer:
I got this answer.
Is it correct
Lily and Layla are bakers and were having a contest to see who could bake more cupcakes in 8 hours. Lily can bake 7 cupcakes in 10 minutes. Layla can bake 8 cupcakes in 12 minutes. The next day, Lily sold LaTeX: \frac{2}{3}2 3 of her cupcakes at $1.29 each. Layla sold 75% of her cupcakes at $0.89 each. Who made more money?
Answer:
5.000 and dont say its wrong because whats the point of asking a question you already know?
Step-by-step explanation:
6.6 as a mixed number
Given f (x) = 2x + 1 , find x when f (2) = 9
A 4
B 19
C 13
D 9
Answer:
Step-by-step explanation:
2x + 1 = 9
2x = 8
x = 4
answer is A
Help! I need help with question 2 and 3. Thanks.
Answer:
Answer: SW IS 1.5 OKKKKKKKKK
Help ASAP plssssssssssssssssss
Answer:
18
Step-by-step explanation:
(3 + 5i) + (11 -7i) Write answer in standard form a +bi
Answer:
y7987
Step-by-step explanation:
For her phone service, Rita pays a monthly fee of $17, and she pays an additional $0.05 per minute of use. The least she has been charged in a month is $83.90.
What are the possible numbers of minutes she has used her phone in a month?
Use M for the number of minutes, and solve your inequality for M.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Monthly fee = $17
Additional fee per unit of use = $0.05
Least amount she's been charged in a month = $83.90
Equation to represent the number of minutes 'M':
monthly fee + (additional fee per minute × M) = $83.90
Possible number of minutes :
83.90 ≤ $17 + 0.05M
$17 + $0.05 × M = $83.90
$0.05*M = $83.90 - $17
$0.05*M = $66.90
M = $66.90 / 0.05
M = 1,338 minutes
What is the value of x
Answer:
x =68
Step-by-step explanation:
The sum of the angles of a triangle are 180
37+75+x = 180
Combine like terms
112+x = 180
Subtract 112 from each side
112+x-112=180-112
x =68
Suppose that the x-intercepts of the graph of y=f(x) are -9 and 3. What are the x intercepts of y= f(x+3)
Answer:
the anwser is 6
Step-by-step explanation:
Use the x- intercepts as the x becuase when x=0 it will give you the x- intercept.
therefore, just plug them in.
Braden biked 10 8/9 miles on Monday. On Tuesday, he biked 3/ 4 as far as Monday. How many total miles did he bike over the two days?
Answer:
19 1/18 miles.
Step-by-step explanation:
For Tuesday's ride we need to multiply 10 8/9 by 3/4.
10 8/9 = (9*10+8) / 9 = 98/9 miles.
98 / 9 * 3/4
= 98/3 * 1/4
49/6
= 8 1/6 miles.
Total miles over 2 days = 10 8/9 + 8 1/6
= 18 + 8/9 + 1/6
= 18 + 48/54 + 9/54
= 18 57/54
= 19 3/54
= 19 1/18 miles.
Mrs. Ming invested an amount of money in two accounts for one year. She invested some at 8% interest and the rest at 6% interest. Her total amount invested was $1,500. At the end of the year, she had earned $106.40 in interest. How much had Mrs. Ming invested in the account paying 6%?
Answer: $680
Step-by-step explanation:
complete the missing number sequence.
1/4, 1/2,___, 1, 11/4
Answer:If the last number is 1¼ then the answer is ¾
Step-by-step explanation:
From one fraction to the other there is a difference of ¼
¼+¼=½
½+½=¾
¾+¼=1
1+¼=1¼
To identify the difference between the fractions you should get the LCM of the denominator which is 4 then you change all the fractions and make them have the same denominator
½ ,²/4 ,_ ,⁴/4 ,⁵/4
Then work with the numerator
1 , 2, _ ,4 , 5,
The dash is to be filled with 3
So your answer is ¾
Decide which of the two given prices is the better deal and explain why. You can fill a 12 gallon tank of gas for $42.47 or buy gas for $3.60/gallon.
Answer: Decide which of the two given prices is the better deal and explain why. You can fill a 12 gallon tank of gas for $42.47 or buy gas for $3.60/gal
divide 5346 divided by 29
Answer:
184.3448276
Step-by-step explanation:
5346/29
184.3448276
Answer:
594
Step-by-step explanation:
Solve for the valid solution set: x−3≥2 or x+5≥7
Answer: X ≥ 5 or X ≥ 2
Step-by-step explanation:
Add 3 to both sides for the first equation
x ≥ 5
and subtract 5 from both sides for the second one
x ≥ 2
Ms. Terry's class is hosting a fundraising
challenge. The students in her class are
divided into 4 teams. Each team has an
equal number of students. Do you have
enough information to find how many
students are on each team? Explain.
In being able to find out whether it is possible to know the number of students on each team, there simply isn't enough information to do so.
In order to find out the number of students on each team, the following formula is necessary:
= Number of students in general / Number of teams
The number of teams is 4 so the denominator is present.
We however, do not have the number of students in general so we are unable to find out the number of students in each team.
In conclusion, we do not have enough information to find out the number of students in each team.
Find out more at https://brainly.com/question/15459630.
Your backyard is 27 feet longer than it is wide. Its area is 9718 square feet. What is the width Set up and solve a quadratic equation.
Answer:
Width = 86 feet
Step-by-step explanation:
Create two equations with the info:
L = 27 + W
where L represents the length and W the width of the backyard.
The other one is about the area of the rectangular backyard:
Area = L x W
where you replace the area with 9718 and the length (L) with (27 + W):
[tex]Area= L\,*\,W\\9718=(W+27)\,W\\9718=W^2+27\,W\\W^2+27\,W-9718=0[/tex]
and solve for W using the quadratic equation:
[tex]W=\frac{-27+/-\sqrt{27^2-4(1)(-9718)} }{2\,(1)} \\W=\frac{-27+/-\sqrt{39601}}{2} \\W=\frac{-27+/- 199}{2}[/tex]
This gives us two solutions:
W = - 113
and W = 86
We use the positive solution since this is a distance.
Therefore the width is: 86 feet
(6 - 9)(-2) = 6(-2) - 9(-2) Group of answer choices True False
Answer:
False
Step-by-step explanation:
Find two consecutive integers whose product is 12.
Answer:
3 and 4
Step-by-step explanation:
The answer is 3 and 4 because consecutive means one more than the previous number. Therefore, 3 + 1 = 4
Also, 3*4 = 12
Hope this helps!
Olivia needs $104 to buy the bike she wants. She saves $8 a week. Find the number of weeks it would take for Olivia to have enough money to buy the bike.
Answer:
13
Step-by-step explanation:
This is a division problem.
$104/$8 = 13
Answer: 13
What is 4 times of 2 1/2
Answer:
10
Step-by-step explanation:
Change the fraction to a decimal:
2 1/2 = 2 + 1/2 = 2 + 0.5 = 2.5
Multiply:
4 x 2.5 = 10
10 is your answer.
~
Write an equation for the description The difference between a number x and 18 is 21.
Answer:
x - 18 = 21
Step-by-step explanation:
In math, the description, "the difference between p and q" is written as ...
p - q
Then the difference between x and 18 is ...
x - 18
When we say that "is 21", we mean it is equal to 21:
x - 18 = 21
(4k² + 8k +2) - (2k + 3)
а. 4k² + 6k + 5
b. 4k²+ 6k - 1
с. 4k²+ 10k +5
d. 4k²+ 6k + 1
Answer:
Step-by-step explanation:
4k^2 + 8k + 2 - 2k - 3
4k^2 + 6k - 1
answer is B
Answer:
[B] 4k²+ 6k - 1
Explanation:
(4k² + 8k + 2) - (2k + 3)
Remove Parenthesis
4k² + 8k + 2 - 2k + 3
-2k + 3: -2k - 3
= 4k² + 8k + 2 - 2k - 3
Simplify
4k² + 8k + 2 - 2k - 3: 4k²+ 6k - 1
= 4k²+ 6k - 1
- PNW
Hi there! Can someone help with this?
Ali is baking cookies. She bakes 3 dozen sugar cookies, two dozen peanut butter cookies, and four dozen chocolate chip cookies. Ali gives away two dozen sugar cookies, 1.5 dozen peanut butter cookies, and 2.5 dozen chocolate chip cookies. How many total cookies does she keep?
A salesman need to sale 63 items to make it monthly go there are 18 selling days left in the month what is the average number of items you need to sell daily to reach his goal?
Answer:
He needs to sell an average of 3.5 items a day to reach his goal.
Step-by-step explanation:
To find the average he needs to sell, we need to divide the items he needs to sell by the number of days he has left to sell. He has 63 items and needs to sell them within 18 days.
63/18=3.5
He needs to sell an average of 3.5 items a day to reach his goal.
The salesman should sell 3.5 items on a daily average to reach his target when he needs to sell 63 items in 18 selling days.
What is average?The average is defined as the sum total of observations divided by the total number of observations.
How to solve the question?In the question, we are informed that a salesman needs to sell 63 items to make it monthly within 18 selling days left in the month.
We are asked the average number of items he should sell daily to reach his goal.
The average number of items per day can be calculated as the ratio of the total number of items left to the total number of days left.
Therefore, the average number of items per day = 63/18 = 3.5.
Learn more about averages at
https://brainly.com/question/20118982
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If f(x) = 3x2 + 1 and g(x) = 1 – x, what is the value of (f – g)(2)?
12
14
36
38
Answer: 14
Step-by-step explanation: