The formula to represent the remaining value of the card is aₙ = 26.5 - 1.5n
The value of the card after ten downloads is $10
Arithmetic formulaaₙ = a + (n - 1)d
where
a = first term
d = common difference
n = number of terms
Therefore,
a = 25
d = 23.5 - 25 = - 1.5
Therefore,
aₙ = 25 + (n - 1)(-1.5)
aₙ = 25 - 1.5n + 1.5
aₙ = 26.5 - 1.5n
After ten download the value of the card will be as follows,
26.5 - 1.5(11) = 26.5 - 16.5 = $10
learn more on arithmetic sequence here: https://brainly.com/question/768453
Jeff is decorating papers with the child he is babysitting. They have a total of 7 heart stickers and 14 star stickers to use. If they want to make all the papers identical with the same combination of heart and star stickers and no stickers left over what is the greatest number of pages they can decorate
Answer:
7
Step-by-step explanation:
Given the following :
7 heart stickers and 14 star stickers :
The greatest number of pages that can be decorated using the stickers above without any left over ;
To get this we obtain the greatest common factor of 7 and 14
Factors of 14
14 : 1, 2, 7, 14
Factors of 7
7 : 1, 7
The greatest factor common in both numbers is 7
Hence, greatest number of pages that can be decorated without any leftover is 7
a window washer cleaned 42 windows and 4 hours at this rate how many windows will he wash in 10 hours
Answer:
105
Step-by-step explanation:
42/4 = 10.5 windows/hour
10.5 x 10 = 105 windows
The pages of Ayhan's book are numbered from 1. The page numbers have a total of 459 digits.
How many pages does the book have?
A) 119
D) 215
B) 189
E) 219
C) 190
Step-by-step explanation:
the first 9 pages have 1 digit (1 to 9).
the next 90 pages have 2 digits (10 to 99).
that is in total
9×1 + 90×2 = 189 digits.
that leaves us
459 - 189 = 270 digits for pages with 3 digit page numbers (100 and up).
there are 900 pages with 3 digit page numbers = 2700 digits, which is larger than 270.
so, the solution must be in this interval (there are no pages with 4 digit page numbers like 1000).
after how many pages with 3 digit pages numbers do we have a total of 270 digits ?
270/3 = 90 pages.
so, we have 9 + 90 + 90 = 189 pages in the book.
Unlimited
Factor by grouping (sometimes called the ac-method).
4x² + 3x - 10
First, choose a form with appropriate signs.
Then, fill in the blanks with numbers to be used for grouping.
Finally, show the factorization.
Form:
o
Ax? +
1 x + x - 10
Х
$
4x
+
x - l * - 10
4x?
[ x + x - 10
4x?
x - 10
Factorization:
Answer:
(4x - 5)(x + 2).
Step-by-step explanation:
4x^2 + 3x - 10
4 * 10 = -40
We need 2 numbers whose product is -40 and whose sum is +3.
Theses are = - 5 and + 8.
So we write:
4x^2 + 8x + -5x - 10
= 4x(x + 2) - 5(x + 2)
= (4x - 5)(x + 2).
When looking at a rational function f of x equals the quantity x plus three times the quantity x minus two times the quantity x plus five all divided by the quantity x minus three times the quantity x plus two times the quantity x minus 5 , Charles and Bobby have two different thoughts. Charles says that the function is defined at x = −2, x = 3, and x = 5. Bobby says that the function is undefined at those x values. Who is correct? Justify your reasoning.
Answer: Bobby is right, because at x = -2, 3, and 5, the denominator of the function equals zero, which is by definition undefined.
I hope this helps :)
Step-by-step explanation:
You must be at least 21 to enter
the club.
х over or under 21
BRAINLIEST ASAP!! Find the focus of the parabola: f(x) = 1/4(x – 3)^2 + 1
Question: Find the focus of the parabola: f(x) = 1/4(x – 3)^2 + 1
Answer: Focus: (3, 2)
Step-by-step explanation:
Use the vertex form to find the focus. Hope this helps!
1. What is the degree of
the polynomial
below?
x^3 + 2x - 3x^4 + 5 +
3х^2
Answer:
4
Step-by-step explanation:
The highest power(exponent) of the variable 'x' is the degree of the polynomial.
In this sum the highest power of x is 4
Degree = 4
someone pls answer this!!
Answer:
line p
Step-by-step explanation:
Line p forms both angle 3 and angle 5 by passing through other lines. It is also a transversal because it passes through a system of lines (line n and l).
Helps me solve this problem please
Answer: {-1, 0, 1}
Explanation: The range of a relation is the set of all y-coordinates.
So the range is {1, 0, -1} which would be your answer.
Note however that the range is usually written in ascending order.
In other words, from least to greatest.
So our range can be written as {-1, 0, 1}.
You are in line at a ticket window. There are two more people ahead of you than there are behind you. The number of people in the entire line (don’t forget to count yourself!) is three times the number of people behind you. How many people are ahead of you in line, and how many are behind you?
Step-by-step explanation:
Let people behind you=x
People ahead of you will be x+2
Total number of people in the line(including you) = x+(x+2)+1 = 2x+3
Also, 2x+3=3x
So x=3
People ahead = x+2 = 5
People behind = x = 3
Jhone worked at the Dollar store and someone had a toy that was 3.50$ and the man gave Johne 5.00$ So how much do jhone have to give him back
9 ≤ 2(3a − 3) ≤ 24
what is the answer plzzzzzzz
Answer:
a = 3a = 4a = 5There are three solutions. I hope this helps!
How do you multiply mixed fractions?
Thanks :)
shylas resreach shows that 8 empty cans can make 1/4
8 cans equal 2 and not 1/4
a bag contained x cups of flour Miranda used 3.25 cups of flour to make biscuits the bag now contains 1.90 cups of flour how much flour was in the bag before Miranda made biscuits?
Answer:
5.15
Step-by-step explanation:
a man got 10% increase in his salary. if his new salary is rs154000 find hus original salary
Answer:
138600
Step-by-step explanation:
154000/10=15400
154000-15400=138600
PLEASEEWWE HELPPP!! Select each transformation that carries a square onto Itself.
1.) a reflection over one of the square's sides
2.) a reflection over one of the square's diagonals
3.) a rotation of 90° clockwise about the square's center
4.) a rotation of 180'clockwise about one of the square's vertices
5.) a rotation of 180' clockwise about the square's center
A C D
Step-by-step explanation:
BRAINLIEST PLS HURRY
A gym charges members $25 for a registration fee, and then $34 per month. You became a member some time ago, and now you have paid a total of $501 to the gym. How many months have passed since you joined the gym?
_______ months have passed since you joined the gym.
Answer:
14 months
Step-by-step explanation:
501 - 25 = 476
476 / 34 = 14
Answer:Cost = $33 per month + Fee 1. C(m) = 33m + F 33(6) + F = 228198 + F = 228F = $30 membership fee C(m) = 33m + 30 2. At 9 months: 33(9) + 30 = $327
Step-by-step explanation:
-1/2x+3=-x+7
I just don't know how to take the fraction out :(
Answer:
x = 8
Step-by-step explanation:
[tex] - \frac{1}{2} x + 3 = - x + 7[/tex]
Collect like terms and simplify
[tex] - \frac{1}{2} x + x = 7 - 3 \\ \frac{1}{2} x = 4[/tex]
Cross Multiply
[tex]x \times 1 = 2 \times 4 \\ x = 8[/tex]
Answer:
x = 8
Step-by-step explanation:
-1/2x+3=-x+7
Add x to each side
-1/2x+x+3=-x+x+7
1/2x+3=7
Subtract 3 from each side
1/2x +3-3=7-3
1/2x=4
Multiply by 2
1/2x*2 = 4*2
x = 8
1/4x20 in fraction for prodigy math game
Answer:
5
Step-by-step explanation:
Write an equation and solve for x using the given information. (see image attached)
Answer:
Equation : 6x + 8 = 26
x = 3
Step-by-step explanation:
The given shape is a rectangle.
Here ( x + 1 ) cm and ( 2x + 3 ) cm are the sides,
where,
Length ( l ) = 2x + 3
Breadth ( b ) = x + 1
Perimeter is the sum of all sides.
Formula : -
Perimeter of a rectangle = 2 ( l + b )
Perimeter of a rectangle
= 2 ( 2x + 3 + x + 1 )
= 2 ( 2x + x + 3 + 1 )
= 2 ( 3x + 4 )
= 2 ( 3x ) + 2 ( 4 )
= 6x + 8
The given value of the perimeter is 26 cm.
So the equation is,
6x + 8 = 26
The value of x can be found by solving this equation.
6x + 8 = 26
Subtract 8 on both sides,
6x = 26 - 8
6x = 18
Divide 6 on both sides,
x = 18 / 6
x = 3
Hence the value of x is 3.
What makes a pair linear?
Answer:
A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
Answer:
A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
Step-by-step explanation:
in which situation do the quantities combine to make 0?
Answer:
The additive inverse of a real number is the opposite of that number on the real number line. For example, the opposite of −3 is 3. A number and its additive inverse have a sum of 0. The sum of any number and its opposite is equal to zero.
Which is bigger -2.5 or -3/1
Answer:
-2.5
Step-by-step explanation:
-2.5 is greater.
25.5 is what percent of 85
Answer:
30%
Step-by-step explanation:
Please help!!
I have 5 mins
Answer:
3/2
Step-by-step explanation:
Just count the rise over run
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Use rise/run.
Between points, it rises by 3, then runs laterally by 2.
Thus, 3/2.
A dog is tied to a wooden stake in a backyard. His leash is 3 meters long and he runs around in circles pulling the leash as far as it can go. How much area does the dog have to run around it?
Answer:
28.26
Step-by-step explanation:
Use the formula, πr^2 to find the area of circles
Question 6 options:
The Edwards family spends $800 per month on groceries for their family. If this is 18% of their monthly budget, then what is their monthly budget?
Round to the nearest cent (hundredths place).
Answer:
Monthly budget = $4444.44
Step-by-step explanation:
Let the monthly budget of Edwards family = x dollars
18% of monthly budget spends on groceries
Hence,
18% of x = 800
[tex]{\dfrac{ 18 }{ 100 } \times x = 800}[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:100\:to\:cancel\:out\:the\:fraction}[/tex]
[tex]100 \times \dfrac{ 18 }{ 100 } x = 800 \times 100[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]18x = 80000[/tex]
[tex]\mathrm{Divide\:18\:from\:both\:sides}[/tex]
[tex]\dfrac{ 18x }{ 18 } = \dfrac{ 80000 }{ 18 }[/tex]
[tex]x = 4444.444444444[/tex]
Rounded to the nearest cent: $4444.44
Determine if triangle GHI and triangle JKL are or are not similar, and, if they are, state how you know. (Note that figures are NOT necessarily drawn to scale.)
Answer:
Given triangles are similar
Step-by-step explanation:
We can tell that given triangles are similar by comparing their side lengths.
HG is proportional to KJ
GI is proportional to JL
IH is proportional to LK
we can see the proportion better if we write it like this:
25/75 = 1/3
30/90 = 1/3
19/57 = 1/3