Answer:
Sum of the first 15 terms = -405
Step-by-step explanation:
a + 3d = -15 (1)
a + 8d = -30 (2)
Where,
a = first term
d = common difference
n = number of terms
Subtract (1) from (1)
8d - 3d = -30 - (-15)
5d = -30 + 15
5d = -15
d = -15/5
= -3
d = -3
Substitute d = -3 into (1)
a + 3d = -15
a + 3(-3) = -15
a - 9 = -15
a = -15 + 9
a = -6
Sum of the first 15 terms
S = n/2[2a + (n − 1) × d]
= 15/2 {2×-6 + (15-1)-3}
= 7.5{-12 + (14)-3}
= 7.5{ -12 - 42}
= 7.5{-54}
= -405
Sum of the first 15 terms = -405
I need help which one is it?
Answer:
B. 3
Step-by-step explanation:
PLSS HELP WITH NUMBER 6
Answer: 100oz=6.25 lb
Step-by-step explanation:
14. Profits at Steven's Pastry shop increased by $1,645 in one 7-day week. By how much did
profits increase each day?
To find the answer, all we need to do is divide his additional profits ( $1,645 ) by the number of days he made the profit ( 7 days in the week )
$1,645 ÷ 7 = $235
Steven's Shop profits increased by $235 each day!
Hope I helped! If you more explanation, just comment ! :)
Ani sells 527 dollars worth of sodas as part of a school club fundraiser. If the sodas cost 310 dollars, what equation can we make to find out how much money ani raised as the variable ?
The total money Ani raised was 217 dollars.
Cost price of soda = 310 dollars
money raised = selling price - cost price
What is selling price?
The cost at which something is sold. Calculate the total cost of all the items you bought. To calculate the cost price, divide the total cost by the quantity of units purchased. Use the selling price formula to calculate the final price: Cost price plus profit margin equals selling price.
What is cost price ?
Cost price is the complete sum of money that a manufacturer must spend to create a specific good or render a specific service. Cost is equal to Selling price plus Loss ( when selling price and loss is given ) Cost price = 100 Selling Price + 100 + Profit (where the Selling Price and Profit Percentage are supplied)
Hence
x = 527 - 310
=217 dollars
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y = –x + 5
y = –2x + 7
Answer:
x = 2, y = -3
Step-by-step explanation:
Since both equations are set equal to y,
[tex]-x+5=-2x+7 \\ \\ x=2 \\ \\ \implies y=-2+5= - 3[/tex]
I need help with my working
Answer:
15^2 = 225
7^3 = 343
Step-by-step explanation:
Write a function to solve the following word problem
Huey purchases a helicopter for $576,001. The helicopter decreases in value at an 11% rate each year. What will be the value of the helicopter after 12 years? Round to the nearest dollar.
The required function is: 576,001 - ( 0.11 * 576,001 * x )
The value of the helicopter after 12 years, to nearest dollar is -$184320
How to find the value of the helicopter after 12 yearsGiven data
price of a helicopter $576,001
rate of value decrease is 11%
The decrease in value will result to
= 576,001 - 0.11 * 576,001 * x
let x represent the number of years
the required function is: 576,001 - 0.11 * 576,001 * x
plugging in 12 and solving results to
= 576,001 - 0.11 * 576,001 * x
= 576,001 - 0.11 * 576,001 * 12
= 576,001 - 760321.32
= -184320.32
The value of the helicopter after 12 years, to nearest dollar is -$184320
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K(x)=12(1+1)^x,k(3)
Show how you got the answer step by step
Write an equation in point-slope form of the line that passes through the point (1, 6) and has a slope of −1/2
Answer:
y-6 = -1/2 * (x-1)
Step-by-step explanation:
Point slope form is y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope. Plug in (1,6) for (x1, y1) and -1/2 for m.
What is the area of a circle if the diameter is 27?
Answer:
Step-by-step explanation
A = (3.14)(r^2)
r^2 = (1/2 d) = 13.5^2 = 182.25
A = 3.14 x 182.25 = 572.265 unit sq.
Perry's school is selling tickets to a choral performance. On the first day of ticket sales the school sold 12 adult tickets and 7 child tickets for a total of $57. The school took in $63 on the second day by selling 7 adult tickets and 14 child tickets. What is the price of one adult ticket and one child ticket?
Answer:
$6
Step-by-step explanation:
Answer:
both cost 3 dollars
Step-by-step explanation:
x=adult ticket
y=child ticket
12x+7y=57
7x+14y=63
24x+14y=114
-7x-14y=-63
17x=51
x=3
7(3)+14y=63
21+14y=63
14y=42
y=3
A laptop is on sale for 18% off the original price of $450. What is the sale price?
Answer: 369
Step-by-step explanation:
This is becuase 18% of 450 is 81, and 18% off means you subract the 81 leaving 369.
What is f(4) for the function f(x) = 7x + 6?
Please help asap
Answer:
f(4) for the function [tex]f(x) = 7x + 6[/tex] is [tex]\mathbf{f(4)=34}[/tex]
Step-by-step explanation:
We need to find f(4) for the function [tex]f(x) = 7x + 6[/tex]
For finding f(4) we will put x= 4 in the given function
[tex]f(x) = 7x + 6[/tex]
Put x = 4
[tex]f(4)=7(4)+6\\f(4)=28+6\\f(4)=34[/tex]
SO, f(4) for the function [tex]f(x) = 7x + 6[/tex] is [tex]\mathbf{f(4)=34}[/tex]
h(x) = square root of x-10
Answer:
B
Step-by-step explanation:
Elsa and two of her closest friends went out to dinner to celebrate Elsaś birthday. The bill for dinner totaled $74.80. If they decided to leave a 20% tip, what was the amount paid by each person in Elsaś party before taxes?
Answer:
$29.92
Step-by-step explanation:
Step one:
given data
The bill for dinner totaled $74.80
Then the tip is 20%
Required
The amount paid by each person after the tip was added to the cost of the dinner
Step two:'
the amount of the tip is
=20/100*74.80
= 0.2*74.80
=$14.96
The total is 14.96+74.80
=$89.76
The number of persons including the celebrant is = 3
so each person will pay
=89.76/3
=$29.92
Games-R-Us offers a video game rental program with a monthly fee of $10 plus $2 per game rental. Games2Go charges a $2 monthly fee plus $4 per game. Given the same to stores Games-R-Us and Games2Go, how many games would you have to rent from each company to have your total cost be the same amount?
Answer:
4 games
Step-by-step explanation:
Let the number of games rented from both be represented by: g
For Games - R - Us
Games-R-Us offers a video game rental program with a monthly fee of $10 plus $2 per game rental.
$10 + $2 × g
= 10 + 2g
For Games2Go
Games2Go charges a $2 monthly fee plus $4 per game.
$2 + $4 × g
= 2 + 4g
Hence,
Games-R-Us = Games2Go
10 + 2g = 2 + 4g
Collect like terms
10 - 2 = 4g - 2g
8 = 2g
g = 8/2
g = 4 games
Therefore, number of games you would have to rent from each company to have your total cost be the same amount is 4 games
plz helps me i need help on dis question
Answer: 24oz - $2.59
Step-by-step explanation: 3.29/32= 0.1028
2.59/24= 0.1079
The diagram below shows part of the graph of the equation y= the graph intersects the x-axis at the points. Find the value of a and the value of b. I'm not allowed to use the calculator and I need the process
The value of a and b are 11 and 14.
What is an equation on a graph?The equation on a graph shows the point where the equation intersects
on the x-axis and the y-axis.
We have,
The function as y = 2x² + ax + b
Where it intersects on the x-axis at the points (-7/2, 0) and (2, 0).
Now we can write it as:
At point (-7/2, 0).
0 = 2 (-7/2)² + a(-7/2) + b
0 = 49 / 2 - 7a/2 + b
7a/2 - b = 49/2 _____(1)
At point (2, 0)
0 = 2(2)² + 2a + b
0 = 8 + 2a + b
2a + b = -8 _____(2)
From (1) and (2) we can find a and b.
From (1)
7a/2 - 49/2 = b
b = (7a - 49) / 2 ______(3)
putting in (2)
2a + (7a - 49) / 2 = -8
4a + 7a - 49 = -16
3a - 49 = -16
3a = -16 + 49
3a = 33
a = 11
putting in (3)
b = (7x11 - 49) / 2
b = (77 - 49) / 2
b = 28 / 2 = 14
Thus the value of a and b are 11 and 14.
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The value of a and b for the given equation is 3 and -14 respectively.
The given equation is y=2x²+ax+b, (-7/2, 0) and (2, 0).
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Now put (-7/2, 0) and (2, 0) in the given equation and find a and b value.
That is, 0=2 (-7/2)²+a(-7/2)+b
⇒ 49/2 -7a/2+b=0 ----(I)
0=2(2)²+a(2)+b
⇒ 8+2a+b=0
⇒ b=-2a-8 -----(II)
Put b=-2a-8 in equation (I) and simplify.
That is, 49/2 - 7a/2 -2a-8=0
⇒ 49/2 - 11a/2 - 8 =0
⇒ 49 - 11a=16
⇒ 11a=33
⇒ a=3
Put a=3 in equation (II) and simplify.
That is, b=-2(3)-8=-14
Therefore, the value of a and b for the given equation is 3 and -14 respectively.
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24) IF area of quadrant of a circle is
38.5 sq.cm then diameter is *
O 7cm
O 14 cm
0 21 cm
O None of these
Answer:
none of these
Step-by-step explanation:
Identify the x-intercept and y-intercept
Answer:
x: -6, y: -2
Step-by-step explanation:
look at the graph, I hope this is the x and y of the lines. It says the answers, but just identify it.
Answer:
(- 6, 0 ) and (0, - 2 )
Step-by-step explanation:
The x- intercept is the value of x on the x- axis where the line crosses.
Here x = - 6 ← x- intercept or (- 6, 0) in coordinate form
The y- intercept is the value of y on the y- axis where the line crosses.
Here y = - 2 ← y- intercept or (0, - 2 ) in coordinate form
The math teacher gives each student a map of the amusement park that uses a coordinate plane. The meeting location is at (0, 0) on the map. Each unit is 100 feet. The first ride that you want to try is located at the coordinates (0, 4). The next ride is located at (3, 0). If you walked in a straight line from the first ride to the second ride, how many feet would you travel?
Answer:
500 ft
Step-by-step explanation:
use this formula
The actual distance between first and second ride is 500 ft.
What is Distance Formula?The distance between two point P(a, b) and Q(c, d).
so, the distance PQ = √(c-a)² + (d- b)²
Given:
Starting point = (0,0)
First ride = (0,4)
Second ride = (3,0)
In map, each unit = 100 ft
Using the distance formula
d = √( 3-0)² + (0-4)²
d = √9+ 16
d= √25
d = 5 units
So, the distance between first ride and second ride in the map is 5 units.
and,1 units = 100 ft
5 units = 500 ft
Hence, the actual distance between first and second ride is 500 ft.
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Can help with this please,
A phone shop sells iPhones and Samsung phones in a ratio of 7:5.
Last week the shop sold 42 iPhones.
How many Samsung phones did it sell?
Answer:
30
Step-by-step explanation:
Given the ratio 7 : 5
The 42 iPhones sold relates to the 7 part of the ratio.
Divide 42 by 7 to find the value of one part of the ratio.
42 ÷ 7 = 6 ← value of 1 part of the ratio, thus
5 parts = 5 × 6 = 30 ← number of Samsung phones sold
The computer has rendered 960 kpx of a garden scene and renders 60 kpx more pixels each
minute.
After how many more minuted will the scenes have the same amounts rendered?
Jenny, Keith, and Joanna participated in a mini-
marathon. At the end of the marathon, Keith ran 3 miles
more than Jenny. Joanna ran two times more miles
than Keith. The three runners covered a total distance
of 16 miles. How many miles did each person run?
M
Answer:
Jenny 1.75 miles, Keith 4.75 miles, Jonna 9.5 milesStep-by-step explanation:
Distance per person:
Jenny - x, Keith - y, Joanna - zEquation as per given:
y = x + 3z = 2y = 2(x + 3)x + y + z = 16Substitute and solve for x:
x + (x + 3) + 2(x + 3) = 162x + 3 + 2x + 6 = 164x = 7x = 7/4 = 1.75Then
y = 1.75 + 3 = 4.75z = 4.75*2 = 9.5HELP, I NEED IT ASAP!!!!!!!!!!!
Which conversions involve multiplying by a positive power of 10? Select all that apply.
(1.) 6 kiloliters = ___ centiliters
(2.) 800 meters = ___ hectometers
(3.) 0.8 dekameters = ___ decimeters
(4.) 13 hectograms = ___ milligrams
A 2-column table with 7 rows. Column 1 has entries kilo, hecto, deka, unit, deci, centi, milli. Column 2 has entries 1,000, 100, 10, 1, 0.1, 0.01, 0.001.
Answer:
its A C D
Step-by-step explanation:
did it on edg and got it right
Answer:
it is 1,3 and 4
Step-by-step explanation:
Which expression is equivalent to - 1/3 (3x - 1/2)?
Answer:
-x+1/6
Step-by-step explanation:
Multiply -1/3 x 3x=-1x or -x
Multiply -1/3 x -1/2= 1/6
20 points
A car drove 10.8 miles in 0.4 hours. a.) How fast was the car traveling in miles per hour? b.) At that rate, how long did it take the car to travel 256.5 miles?
Answer:Miles Per Hour Definition. Our Miles Per Hour Calculator can tell you how many miles you drive in a single stretch. On long road trips, knowing how many miles you are averaging per hour can give you an idea of how long it will take to get to your destination.It is also a good indicator if you are taking too many breaks or if traffic has caused delays in your journey.
Step-by-step explanation:and what you say is 20 points is only 10 points or 13
Which table shows y as a function of x
For what value of k is the expression [tex]x^{4}[/tex]+k[tex]x^{2}[/tex]+49 a perfect square?
a. 7
b. 14
c. 49
d. 98
Answer:
k = 14
Step-by-step explanation:
Given:
x⁴ + kx² + 49
Find:
Value of k
Computation:
x⁴ + kx² + 49
(x²)² + (k)(x²) + 7²
we know that;
a² + 2ab + b²
On compare;
k = 2 x 7
k = 14
What is the axis of symmetry of a quadratic and how is it related to its vertex?
Answer:
It goes through the vertex
Step-by-step explanation:
The axis of symmetry is an imaginary line that runs vertically or horizontally through the vertex depending on which way the parabola or hyperbola is facing.
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