Answer:
first term is 8 and common difference d is -4
Step-by-step explanation:
nth term of an arithmetic sequence is: aₙ=12-4n
First term is putting n=1:
aₙ=12-4n
a₁=12-4(1)
a₁=12-4
a₁=8
So, first term a₁= 8
Now finding second term to find common difference
Second term is: n=2
aₙ=12-4n
a₂=12-4(2)
a₂=12-8
a₂=4
So, second term is: 4
The common difference is: a₂-a₁= 4-8 = -4
So, first term is 8 and common difference d is -4 if nth term is 12-4n
Every month the library hosts a family movie night. This month, 50 people attended the movie night. This was two more than three-fourths of the total number of people who attended the movie night last month. Write and solve an equation to determine how many people attended last month's family movie night. Use x as the variable.
Answer:
64 people
Step-by-step explanation:
Let the number of people that attended the movie last month be represented by x.
Number of people who attended the movie this month = 50
[tex]\frac{3}{4}[/tex] of x + 2 = 50
[tex]\frac{3x}{4}[/tex] + 2 = 50
[tex]\frac{3x}{4}[/tex] = 50 - 2
[tex]\frac{3x}{4}[/tex] = 48
3x = 48 x 4
3x = 192
x = 64
The number of people that attended the movie last month was 64.
SOMEONE PLEASE ACTUALLY HELP MEEE!!!!! Write an example of the Identity Property of Addition using the number 43.
Question 5 options:
43 x 0 = 0
43 x 1 = 43
43 + 0 = 43
40 + 3 = 43
Answer:
40 + 3
Step-by-step explanation:
=43. you dont need to use it for 0, even though that's adding too. and multiplying isnt addition.
A group of 32 people need to take an elevator to the top floor. They will go in groups of eight. They are deciding who will take the elevator on its second trip.
Answer:
probability is 1/24
Step-by-step explanation:
A wet bicycle tire leaves a trace of water on the floor. The tire has a radius of 30 \text{ cm}30 cm30, start text, space, c, m, end text, and the bicycle wheel makes 333 full rotations before stopping. How long is the trace of water left on the floor? Round your answer to the nearest \text{cm}cmstart text, c, m, end text.
Answer:
565 cm
Step-by-step explanation:
Given that:
Radius of tire (r) = 30 cm
Number of complete rotations made = 3
To start with :
Obtain the Circumference : 2πr
Hence,
Circumference = 2 * π * r
= 2 * π * 30 = 6
= 188.49555 cm²
Length of trace of water left :
188.49555 * 3
565.48667
= 565cm (nearest cm)
Jerome hiked three-fourths of a mile in two-thirds of a hour. What was his hiking speed in miles per hour.?
Answer : Speed = distance/time.
(3/4)/(2/3) = 3/4 x 3/2 .
9/8 or 1 1/8 miles per hour
Step-by-step explanation:
i really dont know<3
!PLZHELP! also dont spam ;p
Show that each of the following values for the given variable is a solution to the
given equation. Show the calculations that lead to your answer.
(a) 3x + 4 = 7
for x = 1
Part a)
Answer:
As the L.H.S = R.H.S, so [tex]x = 1[/tex] is the solution to the equation [tex]3x + 4 = 7[/tex]
Step-by-step explanation:
Given the equation
[tex]3x + 4 = 7[/tex]
solving the equation for x = 1
substituting the value of x = 1 in the equation
[tex]3\left(1\right)+\:4\:=\:7[/tex]
[tex]7=7[/tex]
As the L.H.S = R.H.S, so [tex]x = 1[/tex] is the solution to the equation [tex]3x + 4 = 7[/tex]
Part b)
Answer:
As the L.H.S = R.H.S, so [tex]x = 15[/tex] is the solution to the equation [tex]\frac{x-3}{2}=6[/tex]
Step-by-step explanation:
Given the equation
[tex]\frac{x-3}{2}=6[/tex]
solving the equation for x = 15
substituting the value of x = 15 in the equation
[tex]\frac{15-3}{2}=6[/tex]
[tex]\frac{12}{2}=6[/tex]
[tex]6=6[/tex]
As the L.H.S = R.H.S, so [tex]x = 15[/tex] is the solution to the equation [tex]\frac{x-3}{2}=6[/tex]
Part c)
Answer:
As the L.H.S = R.H.S, so x = -3 in the equation is the solution to the equation [tex]x^2=-2x+3[/tex]
Step-by-step explanation:
Given the equation
[tex]x^2=-2x+3[/tex]
solving the equation for x = -3
substituting the value of x = -3 in the equation
[tex]x^2=-2x+3[/tex]
[tex]\left(-3\right)^2=-2\left(-3\right)+3[/tex]
[tex]9 = 6 + 3[/tex]
[tex]9 = 9[/tex]
As the L.H.S = R.H.S, so x = -3 in the equation is the solution to the equation [tex]x^2=-2x+3[/tex]
Write a quadratic function with zeros -1 and 5.
Answer:
[tex]x^2+4x-5[/tex]
Step-by-step explanation:
Zeros of a quadratic equation are -1 and 5.
Sum of zeros = -1 + 5 = 4
Product of zeros = (-1)(5) = -5
The quadratic equation will be :
[tex]x^2+(\text{sum of zeros})x+\text{product of zeros}\\\\=x^2+4x-5[/tex]
So, the required quadratic equation is [tex]x^2+4x-5[/tex].
Nick is planning to drive across the country, and he is deciding between a southern route and a northern route. He uses the following pieces of information to determine the total cost of gasoline for each route: His car needs $18$ gallons of gasoline for every $396$ miles driven. The southern route is $3,102$ miles long, and the average cost of gasoline along this route is $\$2.20$ per gallon of gasoline. The northern route is $2,948$ miles long, and the average cost of gasoline along this route is $\$2.28$ per gallon of gasoline. What would be the total cost of gasoline for each route? Show your work.
Answer:305.53 northern route
210.20 southern route
Step-by-step explanation:
Answer:
Answer:305.53 northern route
Step-by-step explanation:
Paul says that (3.14 X 10^5) + (2.53 X 10^4) = 5.67 X 10^5. Is Paul correct? Explain.
PLEASE I NEED HELP WITH THIS ASAP
Paul is wrong as first he has to convert their powers to the same value with base 10.
What is scientific notation?We use the scientific notation of numbers to write very large numbers in compact form.
In the scientific form, we write a number in the form of base×10ⁿ.
Where 0 ≤ base < 10 and n can be any rational number.
Given, Paul says (3.14 X 10⁵) + (2.53 X 10⁴) = 5.67 X 10⁵. he is wrong to add bases they must have the same power of 10.
∴ (3.14 X 10⁵) + (2.53 X 10⁴).
= (31.4 X 10⁴) + (2.53 X 10⁴).
= 33.93 X 10⁴.
learn more about exponents here :
https://brainly.com/question/15993626
#SPJ2
Sorry if I wasn’t specific on the list question but it’s like this pls help ASAP
Answer:
12 sugars and 24 flour
Step-by-step explanation:
if 4 x ( times ) 3 = 12,
8 x 3 = 24.
Answer:
Multiply by 3
1. A fish is 12 meters below the surface of the ocean. What is its elevation? meters 2. A sea bird is 28 meters above the surface of the ocean. What is its elevation? meters 3. If the bird is directly above the fish, how far apart are they? meters
Answer:
- 12 meters
28 meters
40 meters
Step-by-step explanation:
Given that:
A fish is 12 meters below the surface of the ocean. What is its elevation?
Position of fish = 12 meters below the surface = - 12 ;
Sea level = 0
Elevation = sea level + position
Elevation = 0 + (- 12)
= - 12 meters
2. A sea bird is 28 meters above the surface of the ocean. What is its elevation?
Position of bird = 28 meters below the surface = (28) ;
Sea level = 0
Elevation = sea level + position
Elevation = 0 + 28
= 28 meters
3. If the bird is directly above the fish, how far apart are they?
If bird is directly above the fish;
Distance between bird and fish :
Elevation of bird - elevation of fish
28 - (-12)
28 + 12
= 40 Meters
Write two numbers that multiply to the value on top and add to the value on bottom.
Answer:
8 and 3 is your answer
mark beyondledend answer as brainlist
What's the slope of (-5, 10) and (-2, -2)?
Answer:
slope: -4
equation: y = -4x – 10
An item that was selling for $72.00 is reduced to $60.00. Find the percent decrease in price. Round your answer to the nearest tenth.
Do not include units, %, in your answer.
Answer:
it is 16.7
Step-by-step explanation:
the operation * on the set R, of real numbers is defined by:
p * q =p3 + q3- 3pq; p,q€R
Is the operation * commutative in R?
Answer:
y=Mx+b
Step-by-step explanation:
4x + 3y = 1
12x– 9y=4
Answer:
x = 7/24 y = -1/18
Step-by-step explanation:
3y = -4x + 1
y = (-4/3)x + (1/3)
*plug into the other equation
12x - 9(-4/3x + 1/3) = 4
12x + 12x - 3 = 4
24x = 7
x = 7/24
*now plug into original equation
y = (-4/3)(7/24) + 1/3
y = -1/18
Here is an equation that represents a function: 72x+12y=60.
Select all the different equations that describe the same function:
A.120y+720x=600
B.y=5-6x
C.2y+12x=10
D.y=5+6x
E.x=5/6-y/6
F.7x+2y=6
G.x=5/6+y/6
The equivalent equations to 72x+12y=60 are:
120y + 720x = 600y = 5 - 6xx = 5/6 - y/6Equivalent EquationsThe given equation is:
72x+12y=60
To find the equivalent equations, follow the steps below
Multiply the equation 72x+12y=60 by 10
10(72x) + 10(12y) = 10(60)
720x + 120y = 600
Divide the equation 72x+12y=60 by 12
(72x/12) + (12y/12) = 60/12
6x + y = 5
y = 5 - 6x
Divide the equation 72x+12y=60 by 72
(72x/72) + (12y/72) = 60/72
x + y/6 = 5/6
x = 5/6 - y/6
The equivalent equations to 72x+12y=60 are:
120y + 720x = 600y = 5 - 6xx = 5/6 - y/6Learn more on equivalent functions here: https://brainly.com/question/2972832
2. * DE is a midsegment of triangle ABC. Find the value of X.
Answer:
x = 8.5
Step-by-step explanation:
Based on the Midsegment theorem, the midsegment, DE is half the length of BC.
Given that BC = 17, therefore:
DE = ½*(17)
DE = 8.5.
x = DE = 8.5
How do you say -3.14 in English
Answer:
minus three point one four
The mass of a baby elephant is 113 kg, and it walks at a constant velocity of 0.5 m/sec. What is the kinetic energy for the baby elephant?
Answer:
Step-by-step explanation:
K.E. = [tex]\frac{1}{2}[/tex]m[tex]v^{2}[/tex]
So,
=1/2 x 113 x 0.5 x 0.5
=1/2 x 1/2 x 1/2 x 113 (Because, 0.5 = 1/2)
=1/8 x 113
= 14.125 J
Using the kinetic energy formula, the kinetic energy of the baby elephant is 14.125 joules
Given the Parameters :
Velocity, v = 0.5 m/secMass, m = 113 kgRecall :
Kinetic energy = 0.5mv²The kinetic energy of the baby elephant can be calculated thus :
Kinetic energy = 0.5 × 113 × 0.5² = 14.125 Joules
Therefore, the kinetic energy of the baby elephant is 14.125J
Learn more : https://brainly.com/question/18109354
Pleaseeee hELPppP ASaP
Answer:
SAS
best of luck for the test/exam♡~
Daisy's Flowers sell a rose bouquet for $39.95 plus $2.95 for every rose. A competing florist sells a similar bouquet for $26.00 plus $4.50 for every rose. Find the number of roses that would make both florists' bouquets cost the same price.
Answer:
9 rosesStep-by-step explanation:
Step one:
given data
For Daisy's Flowers
the cost is $39.95
an additional $2.95 for every rose
let the number of rose be x
the linear model for the cost is
y=39.95+2.95x-----------1
Step two
For the competing florist
the cost is $26
an additional $4.5 for every rose
let the number of rose be x
the linear model for the cost is
y=26+4.5x------------2
Step three:
equating the two above equations to find the number of roses x
we have
39.95+2.95x=26+4.5x
solve for x
39.95-26=4.5x-2.95x
13.95=1.55x
divide both sides by 1.55
x=13.95/1.55
x=9
Hence the number of roses that would make both florists' bouquets cost the same price is 9 roses
The only room visible in the KELLER house is ANNIE’S, where by lamplight ANNIE in a shawl is at a desk writing a letter; at her bureau HELEN in her customary unkempt state is tucking her doll in the bottom drawer as a cradle, the contents of which she has dumped out, creating as usual a fine disorder.
—The Miracle Worker,
William Gibson
Based on the stage directions, where does this scene in the play take place?
in Annie’s room at the Perkins Institute for the Blind
in Annie’s room in the Keller residence
in a classroom at the Perkins School for the Blind
in Annie’s room at a hotel near the Keller home
Answer:
The Answer is B
Step-by-step explanation:
Answer:
the answer is b he is right
Step-by-step explanation:
What is another name for Plane P below?
A.
plane B
B.
plane n
C.
plane ABC
D.
plane BAD
Answer:
is. there. a. picture
Step-by-step explanation:
helpp i need help with khan
Answer:
1. 1.5 milliliter
2. 2/3 millileter
Step-by-step explanation:
I did this earlier today lol
Answer:
Step-by-step explanation:
150/100
1.5 ml of soy sauce per ml of vinegar
100/150
2/3 (or 0.666) ml vinegar per ml of soy sauce
A. 3(x + 2) = 18
B. X + 2 = 18
Answer:
A. x=4
B. x=16
Step-by-step explanation:
A. multiply out: 3x+6=18
subtract 6 from both sides: 3x=12
divide both sides by 3: x=4
B. subtract 2 from both sides: x=16
At a pet store, 0.3 of the sales were for dog products, 1/10 of the sales were for cat products, and 3/5 of the sales were for other animal products. What fraction of the sales were for dog and cat products? Express your answer in simplest form
Answer:
4/10 combined. ❤️
Step-by-step explanation:
i hope this helped. You turn the .3 into a fraction. Say it aloud and it's 'three tenths." The cat products are 1/10 so you add 3/10+1/10=4/10 or 0.4.
There are 48 crayons in a box. There are 12 boxes in a carton. Mr Johnson ordered 6 cartons of crayons for the school. How many crayons did he get? 2
Answer:
he got 3456 crayons.
Step-by-step explanation:
Divide (x^5 - x^4 + x^3 - x^2 + x -1) by (x-1)
Please solve this and show your calculation.
If you don't know please don't answer.
Answer:
[tex]\boxed{x^4 + x^2 + x}[/tex]
Step-by-step explanation:
[tex]\frac{x^5 - x^4 + x^3 -x^2 + x - 1}{x - 1}[/tex]
[tex]= \frac{(x - 1)(x^4 + x^2 + x)}{x - 1}[/tex]
[tex]= x^4 + x^2 + x[/tex]