Answer:
(a) aₙ = 22 + 6(n - 1)
(b) The 14th row has 100 seats
Step-by-step explanation:
1. (a) Remember that an arithmetic series has the general formula a + (n - 1)d. Here a = the first term, and d = difference between first and second term, or in other words the difference between the nth and (n + 1)th terms.
aₙ = 22 + 6(n - 1)
This is our iterative rule for this arithmetic series, aₙ = 22 + 6(n - 1).
(b) Here n = the row number. We want to know the row number that has 100 seats. Let's equate the expression '22 + 6(n - 1)' to 100, and solve for n.
100 = 22 + 6(n - 1),
100 = 22 + 6n - 6,
100 = 16 + 6n,
6n = 84,
n = 84 / 6 = 14
=> the 14th row has 100 seats
Y-4-4y= -1. Somebody help please
Answer:
Y=-1
Step-by-step explanation:
Y-4-4Y=-1
-3Y=-1+4
-3Y=3
Y=3÷-3
Y=-1
Answer:
y = -1
Step-by-step explanation:
y - 4 - 4y = - 1 Combine like terms
y - 4y - 4 = - 1
-3y - 4 = - 1 Add 4 to each side
-3y - 4 + 4 = -1 + 4
-3y = 3 Divide each side by -3
-3y/-3 = 3/-3
y = -1
A pound of fertilizer cover 45 square feet of lawn Vivian bulgakov's lawn measures 8666.7 square feet how much fertilizer to the nearest tenth of a pound does she need to buy
Answer:
193.
Step-by-step explanation:
We would solve this question by cross multiplication.
If a sound of fertilizer covers 45 square feet of lawn and the lawn is 8666.7 square feet
To get fertilizer quantity we have
1 pound = 45 square
Unknown = 8666.7 square feet
8666.7/45
= 192.59 when approximated we get 193.
Therefore she has to buy 193 pounds of fertilizer
Combine the like terms to create an equivalent expression:-12-6p-(-2)
Answer:
-10-6p
Step-by-step explanation:
-12-(-2)-6p = -12+2-6p= -10-6p
Answer:
-10-6p
Step-by-step explanation:
-12-6p-(-2)
-12-6p+2
-12+2-6p
-10-6p
Hope this helps ;) ❤❤❤
What is 5 1/3 ÷2 And explain how
Answer:
10.6
Step-by-step explanation:
[tex]5 \frac{1}{3} \div 2 = \frac{16}{3} \div 2 = \frac{16}{3} \times \frac{2}{1} = 32 \div 3 = 10.6[/tex]
Change the mixed fraction to Improper fraction
Divide it or multiply it by the reciprocal.
Hope this helps ;) ❤❤❤
Answer:
2.666667
Step-by-step explanation:
Turn 5 1/3 into a improper fraction.
Please solve no.7 for me with full steps wrong answer will get reported
Answer:
Hey there!
72 athletes can eat for 6 days.
1 athlete can eat for 6(72), or 432 days.
54 athletes can eat for 432/54, or 8 days.
They can eat for 2 more days.
Let me know if this helps :)
Answer:
8 days
Step-by-step explanation:
sufficient food for 72 athlete to last 6 days
when 18 athletes are absent : 72-18=54
multiply scouts by days , to see how many food is packed :
72*6=432
then divide the amount of food packed by the number of scout attended:
432/54= 8 days
Lena is planning on visiting Minneapolis next week on business. Checking her World Time app, she notices that on the day she arrived, the high temperature is forecast to be -12.9 F . What is this temperature in degrees Celsius?
Answer:
-7.11
Step-by-step explanation:
if Fahrenheit to celsius is celsius*1.8= Fahrenheit then Fahrenheit/1.8= Celcius so -12.9/1.8=7.1... so the degree is -7.11
Solve for x. 4(2x−3)=11x
Answer: x=-4
Step-by-step explanation:
Answer:
The correct answer is x = -4.
Step-by-step explanation:
To solve this problem, we should first use the distributive property to get rid of the parentheses on the left side of the equation. This is modeled below:
4(2x - 3) = 11x
8x - 12 = 11x
Then, we should subtract 8x from both sides to move all of the variable terms to the right side of the equation.
-12 = 3x
Finally, we can divide both sides by 3 to get the variable x completely alone on the right side of the equation.
-4 = x
Therefore, the answer to your question is x = -4.
Hope this helps!
evaluate 70 divided by root 10 +root 20 +root 40 - root 80 , if root 10= 3.16 and root 5 =2.24
Answer:
18.0397079611
Step-by-step explanation:
Find the distance between (8,-4) and (4,3)
Answer:
sqrt65
Step-by-step explanation:
I think this is the answer
Zandra went into a candy store to buy jelly beans. She wanted to choose 3 flavors from 12 flavors they sold. How many combinations of 3 flavors could she make
Answer:
220 ways
Step-by-step explanation:
Total number of flavors (n) = 12
Number of flavors to combine (r) = 3
Recall:
nCr = n! ÷(n-r)! r!
nCr = 12! ÷ (12 - 3)!3!
nCr = 12! ÷ 9!3!
nCr = (12 * 11 * 10) / (3 * 2 * 1)
nCr = 1320 / 6
= 220 ways
What is 7 (n + 1) = 3 + 7n
Answer:
no solutions
Step-by-step explanation:
distribute 7 (n+1) =7n+7=3+7n
subtract 7 from both sides (7n=7n-4)
subtract 7n to get 0=-4
so no solutions
Hope this helps :).
And if you want please consider to give me brainliest.
5x + 6 = 4x - 2
What is x?
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
❀ [tex]\boxed{x = -8}[/tex] ❀
[tex]5x+6=4x-2[/tex]
[tex]5x + 6 - 4x = 4x - 2 - 4x[/tex]
[tex]x + 6 = -2[/tex]
[tex]x + 6 - 6 = -2 - 6[/tex]
[tex]x = -8[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
Answer:
x = -8
Step-by-step explanation:
To answer this equation solve for x. When doing so make sure to get x one side
First subtract 4x from each side. This means the equation is now
x + 6 = -2
Next subtract 6 on both side and you should find x
x = -8
Ari received $100 as a birthday gift and has decided to save this
money as well as add $20 of his own money each month. The total
money Ari has saved can be estimated using the equation g(x) =
20x + 100, where x is the number of months and g(x) is the total
amount of money saved.
Answer:
Total amount Ari would have saved after 6 months is $220
Step-by-step explanation:
Ari received $100 as a birthday gift and has decided to save this money as well as add $20 of his own money each month. The total money Ari has saved can be estimated using the equation y = 20x + 100, where x is the number of months and y is the total amount of money saved. How much money will Ari have saved after 6 months?
Solution
Given:
g(x) = 20x + 100
where,
x = number of months
g(x) = the total amount of money saved
How much money will Ari have saved after 6 months?
g(x) = 20x + 100
When x = 6
g(x) = 20(6) + 100
= 120 + 100
= 220
g(x) = $220
Total amount Ari would have saved after 6 months is $220
Alex spends 2/3 of his paycheck p on food and $3 lose change on coffee how much did he spend
Answer:
The total amount Alex spent is $ 9
Step-by-step explanation:
The given parameters are;
The amount Alex spends on food = 2/3 of his paycheck
The amount Alex spends on coffee = $3
Therefore, we have;
Fraction of the paycheck spent on coffee = 1 - 2/3 = 1/3 of p
The amount Alex spends on coffee = 1/3 of his paycheck
Therefore, we have;
1/3 × p = $3
p = 3 × $3 = $9
The total amount Alex spent = $ 9
The amount Alex spends on food = 2/3 × $9 = $6.
х
f(x)
Analyze the table of values for the continuous function,
f(x), to complete the statements.
A local maximum occurs over the interval
A local minimum occurs over the interval
-3
-16
-2
-1
-1
2
0
-1
1
-4
N
-1
Answer: the answer is
(-2,0)
(0,2)
Answer:
The answer is
( -2, 0 )
(0, 2 )
Step-by-step explanation:
I just took the test and got it right
Hopefully this helps you
pls mark brainlest
In an effort to prepare for retirement, Zeus decided to sell off some of his powers to Poseidon. Each box of powers contained 4 specific powers. Each box cost Zeus $250. If Zeus wanted to make a profit $900 per box, how much would have to charge Poseidon for each power?
Answer:
$287.50Step-by-step explanation:
From the problem statement the cost price per box is
$250.
And the box contains 4 specific powers, since Zeus plans to make $900 per box which contains 4 powers
we need to find the selling price
profit= selling price-cost price
let the selling price be x
900=x- 250
x=900+250
x= 1150
Selling price = $1150
Hence the unit cost of a specific power in a box that will see a profit of $900 per box is 1150/4= $287.50
Amelia bought 20 chicken wings for $50.00. How much would it cost for 14 wings?
The cost for 14 wings is $35.
Given that,
Total wings bought is 20.Total cost is $50.We need to find the cost for 14 wings.According to the given data, calculation are as follows,
First we calculate cost for 1 wing,
20 wings = $50
1 wing = $50 [tex]\div[/tex] 20
1 wing = $2.5
Now cost for 14 wings,
Cost for 14 wings = $2.5 [tex]\times[/tex] 14
= $35
Learn more : https://brainly.com/question/4557688
1/2x 350 (122 – 62).
Answer:
My answer is
1/2 ×350(60)
175×60=10500
Find the value of n.
9 = 9+n
n = 0
Step-by-step explanation:9 = 9 + n
9 - 9 = n
n = 0
Solve for x.
4 + 3 x / 2 = 5
x = [?]
Answer: 2/3 I got this question on my test to and I got it correct!
The area of the face of a cube is 9 square centimeters. Use 9 of these cubes to make a rectangular prism. What is the volume of the rectangular prism
Answer:
243 cm^3
Step-by-step explanation:
The faces of a cube are squares.
A = s^2
s^2 = 9 cm^2
s = 3 cm
The side of the square is the edge of the cube and is 3 cm.
V = s^3
V = (3 cm)^3 = (3 cm)(3 cm)(3 cm) = 27 cm^3
The volume of one cube is 27 cm^3.
The volume of 9 cubes is 9 * 27 cm^3 = 243 cm^3
Answer: 243 cm^3
Ok please help i might put 50 for this one
Your question has been heard loud and clear.
a)
Initial velocity , U=50km/h = 250/18 m/s
Final velocity , V = 0 (this is because the car finally comes to rest)
From 3rd equation of motion , V^2-U^2=2AS.
Now , for a car that goes 50km/h , it has been proven that miniumum brake distance is 6 metres.
so , S = 6 metres.
Using this , we can find the distance stopped by car , and then we can find time.
0-(250/18)^2=2*A*6
0= 2*A*6+(250/18)^2
0 = -12A + 192.90 ( minus sign because car is deccelerating)
So , A = 16.07 m/s^2
V^2-U^2 = 2AS
0 - 192.90 = 2* 16.07*S
So , S (distance) = 24 metres.
Now , we know time = distance / speed
so , time = 24 / 253 = 0.094 seconds
Thank you
raise 3 to the 2nd power, then add c to the result
Answer:
Below
Step-by-step explanation:
● 3
● 3^2
● 9
● 9 + c
======================================================
Explanation:
3 to the 2nd power is the same as writing 3^2 in shorthand
3^2 = 3 squared
When we square a number, we're multiplying it by itself (having 2 copies total of the number). Think of a square with side length 3 units. Its area is 3^2 = 3*3 = 9 square units.
From here, we add on c to get our answer 9+c. We don't know the value of c, so we cannot evaluate further. Also, 9 and c are not like terms so we cannot combine them.
Evaluate the expression -24/3
Answer:
-8Step-by-step explanation:
[tex]-\frac{24}{3}\\\\\mathrm{Divide\:the\:numbers:}\:\frac{24}{3}=8\\=-8[/tex]
Answer: .-8
Step-by-step explanation:
-24 divided by 3 equals -8
-24/3= -8
Since -24 is negative the answer has to be negative as well because negative divided by positive is negative.
Hope this helps :)
Jessie was doing business in Ventura city, selling goods. His first sales in the morning doubled his money, and then he spent $12 for breakfast. Prior to noon, he again doubled his money but then spent $12 on lunch. His last sales in the evening once again doubled his money but then he spent his last $12 on dinner. How much money did he have at the beginning of the day?
Answer:
hi
Step-by-step explanation:
sry
Answer: $10.50
Step-by-step explanation: 10.50x2=21. 21-12=9. 9x2=18. 18-12=6. 6x2=12. 12-12=0.
Simplify nine square root of two minus three square root of seven-plus square root of eight minus the square root of twenty-eight.
Answer:
= 11√2 - 5√7
Step-by-step explanation:
9√2 - 3√7 + √8 - √28
= 9√2 - 3√7 + 2√2 - 2√7
add similar elements
= 11√2 - 3√7 - 2√7
= 11√2 - 5√7
Answer:
11[tex]\sqrt{2}[/tex] - 5√7
Step-by-step explanation:
= 9[tex]\sqrt{2}[/tex] - 3[tex]\sqrt{7}[/tex] + 2√2 - 2[tex]\sqrt{7}[/tex]
= 11[tex]\sqrt{2}[/tex] - 3[tex]\sqrt{7}[/tex] - 2[tex]\sqrt{7}[/tex] add similar elements
= 11[tex]\sqrt{2}[/tex] - 5[tex]\sqrt{7}[/tex]
One thousand students atende queen city elementary school 5/1,000 of the students were absent on Monday how can the number of students be written as a decimal
Answer:
Number of absent student in decimal = 0.005
Step-by-step explanation:
Given:
Number of student = 1,000
Number of absent student = 5 / 1,000
Find:
Write number of absent student in decimal
Computation:
Number of absent student = 5 / 1,000
Number of absent student in decimal = 5 / 1,000
Number of absent student in decimal = 0.005
solve for y = x + 8 for x
x = y -8 hope this helps?
Given the points M(-2,-4) and N(1, 5), find the point T that partitions MN in a ratio of 1:2.
Answer:
Point T is (-1,1)
Step-by-step explanation:
Concept:
If there two points (x1,y1) and (x2,y2) which lies on coordinate plane and them it divided by point p in the ratio m:n then coordinate of point p is given by
p (nx1+mx2)/(m+n), (ny1+my2)/(m+n)
__________________________________________
Given
points M(-2,-4) and N(1, 5)
ratio : 1:2
point t is (2*-2+1*1)/(1+2), (2*-4+1*5)/(1+2)
=> (-4+1)/(3), (-8+5)/(3)
=> -3/3 , 3/3
=> -1, -1
Thus, point T is (-1,1)
X is a normally distributed random variable with mean 95 and standard deviation 3. What is the probability that X is between 89 and 98? Write your answer as a decimal rounded to the nearest thousandth.
Answer: 0.819
Step-by-step explanation:
Given: X is a normally distributed random variable with mean 95 and standard deviation 3.
Then, the probability that X is between 89 and 98 will be:
[tex]P(89<X<95)=P(\dfrac{89-95}{3}<\dfrac{X-mean}{standard\ deviation}<\dfrac{98-95}{3})\\\\=P(-2<Z<1)\ \ \ [Z=\dfrac{X-mean}{standard\ deviation}]\\\\ =P(Z<1)-(1-P(Z<2))\\\\= 0.8413- (1-0.9772)\ \ \ [\text{By p-value table}]\\\\= 0.8185\approx0.819[/tex]
Hence, the required probability = 0.819