Answer:
Step-by-step explanation:
a) The current term number is added to the previous term to get the current term.
__
b) Using n = 2, 3, 4 in the given formula, we have ...
a2 = a1 +2 = 1 +2 = 3
a3 = a2 +3 = 3 +3 = 6
a4 = a3 +4 = 6 +4 = 10
The value of the current term is the sum of all positive integers up to the term number, that is, term n is the n-th "triangle number."
During a 12-hour car ride, each of 4 family members gets to choose the music for an equal amount of time. Write an equation, where t is time, to find out how long each member of the family is in charge of selecting the music.
The table below shows the cumulative distance and the number of hours Ryan drove on vacation.
Hours Driving Distance Traveled (miles)
0 0
3 186
4 248
7 434
10 620
Based on the information in the table, at what speed did he drive (miles per hour)?
A.
69 miles per hour
B.
62 miles per hour
C.
52 miles per hour
D.
42 miles per hour
Answer: 62 miles per hour
Step-by-step explanation:
620/10 = 62
The speed of Ryan is given by the slope m = 62 miles per hour
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 3 , 186 )
Let the second point be Q ( 4 , 248 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 248 - 186 ) / ( 4 - 3 )
m = 62 miles per hour
Hence , the rate of change of speed is m = 62 miles per hour
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A bakery sells two kinds of baked goods: cookies and pie slices. A cookie costs 12 ani a pe sites $4. In one day, the store sold 34 baked goods for a total of $114. How many cookies die itey sele? How many pie slices did they sell? Write a system of equations and solve.
Answer:
uhhhhhhhhhhhh what does this say?
Two angles are complementary. The larger angle is 32° larger than the smaller angle. Find the measure of both angles, and separate your answers with a comma.
The angles are 29° and 61°.
Let the smaller angle be x
Let the larger angle be x+32.
The sum of the complimentary angles will be 90°.
Therefore, x + x + 32° = 90°
2x + 32° = 90°
2x = 90° - 32°
2x = 58°
x = 58/2
x = 29°
The larger angle = x + 32 = 29 + 32 = 61°
Help me solve this please
Answer:
2/5-1/10 = 3/10
1/5+7/10 = 9/10
Step-by-step explanation:
4/10-1/10 = 3/10
2/10+7/10 = 9/10
Solve for g. Make sure to use scrap paper to show your work.
( 144 + 6 x 8 ) ÷ 3 = g
192
64
48
NO NOT PUT THIS IN A FILE
Answer:
64
Step-by-step explanation:
P E D M A S
() ² ÷ × + -
6 x 8 = 48
114 + 48 = 192
(192) ÷ 3 = g
192 / 3 = 64
g = 64
Pls help I’ll brainlest ASAP
If there are 10,000 people on a space ship and 7.5 potatoes grow out of 1 potato plant. How many potato plants are we going to need per person?
This can be answered by the equation 10,000 / 7.5 = 1,333.33, so we can round to 1,333.
Hope this helps!
Answer: 1333
Step-by-step explanation:
Graph question
f(x)=3/5x-5
two points of function
Step-by-step explanation:
1) plot a point at (0,-5)
2) count 3 units up and 5 units to the right, plot the new point
3) connect the points with a straight line
Which expressions represents "2 less than the product of 5 and a number"?
A) 5n - 2
B) 5/n - 2
C) 2 - 5n
D) 5 + n - 2
Answer:
Option A is correct.Step-by-step explanation:
Let's read the part of the question carefully.(2 less than the product of 5 and a number)
The phrase "2 less" means subtracting 2 from the minuend."the product of 5 and a number" means multiplication of 5 and a number (5x)Conclusion:
Therefore:
Our expression is 5n - 2Hoped this helped.
[tex]GeniusUser[/tex]
41% of what number is 77
Answer: 31.57
Step-by-step explanation:
41% of 77 is what?
41% of 77 is Y
Equation: P% * X = Y
Solving our equation for Y
Y = P% * X
Y = 41% * 77
Converting percent to decimal:
p = 41%/100 = 0.41
Y = 0.41 * 77
Y = 31.57
For an experiment, the temperature of a liquid must stay above 60.5°F. The starting temperature of the liquid is 88.6°F. It is placed in a cooler, which lowers its temperature 2°F each minute.
How many minutes can the liquid can stay in the cooler?
Select from the drop-down menus to correctly complete the statement. at least 14.05 /more than 14.05/ fewer than 14.05 /at most
14.05 at most
If it is saying at least, than it would be in the cooler for longer than it should be and drop below 60.5
If saying more than 14.05, it is basically the same thing where it is inside the cooler for longer than it should be
If saying at most, that means that 14.05 is the max it would be in the cooler and keeps the liquid above 60.5
Answer: im late but here you go
12/2/22
Step-by-step explanation:
Pre college need withh
Answer:
Step-by-step explanation:
f(9) = |9 + 9| = |18| = 18
f(-4) = |-4 + 9| = |5| = 5
f(0) = |0 + 9| = |9| = 9
pretty boring examples as you're always taking the absolute value of a positive number.
what do you suppose f(-12) is???
f(-12) = |-12 + 9| = |-3| = 3
The variables x and y are directly
related. When x=15, y = 6. What is the
value of x when y = -4?
Which of the following equations has no solution?
3x + 1 = 3x + 1
3x+1= 3x + 2
3x+1= 2x + 1
Answer:
3x+1=3x+1
0x=0
no solution
3x+1=3x+2
0×=1
no solution
3x+1=2x+1
x=0
X IS THE SOLUTION BTW
4x+4 =
What is the answer to this please help
Answer:4(x+1)
Step-by-step explanation:
4x+1
What is the slope of this line?
a.−23
b.−13
c.13
d.23
Answer:
D
Step-by-step explanation:
I think you meant to put the answers as a fraction
Answer:
if there were slashes in between every answer, the answer would be
D. 2/3
Step-by-step explanation:
m = y2-y1 / x2-x1 (slope formula) ⋅the two points i used were: (0,-3) and (3,-1)
m = -1-(-3) / 3-0 (plug in the points)
m = -1+3 / 3-0
m = 2/3 (Simplify to get your answer)
whats 3y/2 if y = -2
Answer:
-3
Step-by-step explanation:
3(-2)/2
-6/2 = -3
Distributive property to remove parentheses 4(3+w)
Answer:
12+4w
Step-by-step explanation:
Multiply 4 by both sides
MODELING REAL LIFE A charm bracelet costs $65, plus $25 for each charm. The equation -25x+y=65 represents the cost y (in dollars) of the bracelet, where x is the number of charms.
a. Graph the equation.
b. How much does a bracelet with three charms cost?
Answer:
B = $140
Step-by-step explanation:
for part A, the graph is linear line with a Y intercept at (0,65) so this means that if you were to have no charms it would cost 65 dollars, since the y axis represents cost. then for every 1 increment on the x axis (number of charms) the Y value increases by 25 so the slope is [tex]\frac{25}{1}[/tex]
we also can conclude that there is no negative domain since you cannot have negative charms, and the range begins at 65 since you cannot get a bracelet for less money
for part B, y=25x+65
so for three charms, x is represented as 3 so y=25(3) +65 which is 75+65=y= $140
Justin is buying tickets to a concert online from Ticketmaster. He buys 3 tickets that all have the same price.
There is also a service charge, since he is buying it from Ticketmaster, for $5 per ticket. The total cost of his
order was $138.
Answer:
I don't know if your asking for the price for each ticket, but if you are, it's $41 each.
Step-by-step explanation:
5 x 3 = 15(price of the service charge)
138 - 15 = 123(price with out service tax)
123/3 = 41
Hope this was helpful
Solve the following system of equations.
x - 2y = -2
7x - 3y = 19
Answer:
Step-by-step explanation:
x-2y=-2 x=2y-2
7x-3y=19
substitute x with 2y-2
7(2y-2)-3y=19 14y-14-3y=19 11y=33 y=3
substitue 3 for y
x-2(3)=-2 x-6=-2 x=4
x=4, y=3
btw if theres more similar questions like this use symbolab a website that solves and show you step by step in solving equations
really useful
solving for G
goal is to isolate the variable by undoing in the reverse of the order of operation.
4=2(3g+2)
Answer:
g = 0
Step-by-step explanation:
4 = 2(3g + 2) ← divide both sides by 2
2 = 3g + 2 ( subtract 2 from both sides )
0 = 3g , then
g = 0
Does a quadratic polynomial have a degree of to
Answer:
Idioet duh it does.
Step-by-step explanation:
The Hu family goes out for lunch, and the price of the meal is $52. The sales tax on the meal is 6%, and the family also leaves a 20% tip on the pre-tax amount. What is the total cost of the meal?
Answer:
$65.52
Step-by-step explanation:
52 x 6% = 3.12. Multiply the price of the meal by the percentage of sales tax
52 x 20% = 10.4. Multiply the price of the meal by tip percent
$3.12 is the sales tax on the meal
$10.40 is the tip amount
$52 + $3.12 + $10.40 = $65.52
Add sales tax and the tip amount to the price of the meal to find the total
what is the value of 7
7 can be written as :-
7 + 0 = 7
7 - 0 = 7
7 × 1 = 7
7 ÷ 1 = 7
7¹ = 7
_____
Hope it helps ⚜
Solve.
Write an expression for the total cost (in dollars) of Sam's purchase if he buys x candies costing 39 cents each and y bars of chocolate cost $1.25 each.
a. (0.39 + x) ∙ (1.25 + y)
b. 0.39x + 1.25y
c. 1.64(x + y)
d. 39x + 1.25y
Answer:
the answer to the question is c
Evaluate the expression 5xy+ -2xy+y^2 when x=4 and y=-5
Answer:
Hope it will help you...
The owner of a local shop made a list of how much she pays her employees by the hour.
Which measure of central tendency would the store owner use if she wanted to argue that the employees are paid well?
A. the mean
B. the median
C. the mode
D. the range
GIVING BRAINLIST
Answer: The answer is D
Step-by-step explanation:
I took the quiz
- Draw A' the symmetric of A with respect to point O
- Draw A' the symmetric of A with respect to (d)
Answer:
how am i supposed to answer this? draw a line lol
Step-by-step explanation: