I start with 100 and subtract 3 repeatedly. (100 - 3, 97 - 3, 94 - 3 and so on). How many subtractions would I have to do to get the FIRST single-digit number?
Using an arithmetic sequence, it is found that you would need to do 32 subtractions
In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n - 1)d[/tex]
In which [tex]a_1[/tex] is the first term.
In this problem:
Starts with 100, which is the first term, hence [tex]a_1 = 100[/tex].Subtracts 3, which is the common difference, hence [tex]d = 3[/tex]Then:
[tex]a_n = a_1 + (n - 1)d[/tex]
[tex]a_n = 100 - 3(n - 1)[/tex]
[tex]a_n = 103 - 3n[/tex]
To get a single-digit number, we need that:
[tex]a_n \leq 9[/tex]
Hence, solving the inequality:
[tex]103 - 3n \leq 9[/tex]
[tex]-3n \leq -94[/tex]
[tex]3n \geq 94[/tex]
[tex]n \geq \frac{94}{3}[/tex]
[tex]n \geq 31.3[/tex]
Rounding up, 32 subtractions need to be done.
A similar problem is given at https://brainly.com/question/23842987
Help me out please guys
First Answer:
the slope of the line is 2.
following the equation
m = rise/run
The rise is 4 and the run is 2
4/2 = 2
Answer:
m=-2
Step-by-step explanation:
Since the line is sloping down, we know the slope is negative. To find the slope count the number of units up/down and the number of units over. In this case, pick any 2 points the line crosses through and think:
"down 4, over 2".
-4/2
-2
HTH :)
In Carna's desk drawer, there are 16 paper clips and 20 elastic bands. In Noelia's office supply tray, there are 10 paper clips and 13 elastic bands. Who has a lower ratio of paper clips to elastic bands?
Answer:
Carna has a lower ratio of paper clips to elastic bands
0.2
Step-by-step explanation:
step one
given data
In Carna's desk drawer
number of paper clips 16
number of elastic band= 20
ratio of paper clips to elastic bands
16:20= 1/5 =0.2
Noelia's office supply tray
number of paper clips 10
number of elastic band= 13
ratio of paper clips to elastic bands
10:13= 0.76
Carna has a lower ratio of paper clips to elastic bands
0.2
Problem 1:
1
Define the variable
1. Trini needs more than 51
cubic feet of soil to top up
his raised garden. Each bag
of soil contains 1.5 cubic
feet. Write and solve an
inequality to find how many
bags of soil Trini needs.
2. Write the inequality
B. Solve the inequality
Interpret the solution
d speaker notes
Answer:
variable or scalar is a storage location paired with an associated symbolic name, which contains some known or unknown quantity of information referred to a
what is the square root of 16
Answer:
the square root of 16 is 4
Step-by-step explanation:
What is the equation of the line that passes through the point (7,−3) and has an undefined slope
Answer:
The equation of the line that passes through the point (7,−3) and has an undefined slope will have the equation: x = 7.
Step-by-step explanation:
As the line has an undefined slope, meaning the line is vertical.
As we know that the vertical line passes through (7, -3), so it can never pass through any x-value other than x = 7, although it can pass through infinite y-values.
so the equation of line will be: x = 7
Therefore, the equation of the line that passes through the point (7,−3) and has an undefined slope will have the equation: x = 7.
If 5 more than 5 times a number is 20, what is the number?
Answer:
9
Step-by-step explanation:
20 divided by 5 is 4 plus 5 is 9
One week, Isabella bought two bags of apples and three bags of oranges. The next week, she bought one bag of apples and two bags of oranges. If a represents the cost of each bag of apples and are represents the cost of each bag of oranges, which expression could Isabella used to calculate the difference between the amount she spent each week?
A: 3a-r
B: 3a-r
C: (2a-3r)-(a-2r)
D: (2a+3r)-(a+2r)
Answer:
c
Step-by-step explanation:that is the answer
The chart shows the elevation of several cities. City Elevation (m) Amsterdam 2 Rotterdam –4 Utrecht 1 Zuidplaspolder –7 Which city in the chart has the lowest elevation? Amsterdam Rotterdam Utrecht Zuidplaspolder
Answer:
The Answer Is -7 Zuidplaspolder
Step-by-step explanation:
Answer:
im sure its 7 no cap
Step-by-step explanation:
A Hudson Valley farmer has 26 employees. He pays each employee $410 per week. After paying his workers for one week, the farmer has $126 left in his bank account. How much money did he have to begin with.
Given:
A Hudson Valley farmer has 26 employees.
Salary of each employee = $410 per week.
Remaining amount after one week = $126
To find:
The initial amount of money he begins with.
Solution:
We have,
Amount he pays to one employee in one week = $410
Amount he pays to 26 employee in one week = 26 × $410
= $10660
Let x be the initial amount of money he begins with.
Remaining amount = Initial amount - Amount he pays to 26 employee in one week
[tex]126=x-10660[/tex]
[tex]126+10660=x[/tex]
[tex]10786=x[/tex]
Therefore, the initial amount of money he begins with is $10786.
SOMEONE PLZ HELP! ALSO DONT SPAM!
Answer
A : (1,-5)
Explanation
Dude, I'm pretty sure the stuff is used to throw you off. Just find the coordinates.
Answer:
A : (1,-5)
Step-by-step explanation:
wage of $40
sales girl is paid a
basic
per week. In addition, she is paid a comission of
56. the
value of goods she sells. How much
commission will she be paid on sales amounting
to
$1525 and what is her gross wage for the week?
are her sales 1525 or this that her pay?
give the new coordinates. Square WXYZ with vertices W(1,7), X(6,5),
Y(4,0), and Z(-1, 2): (x, y) = (x-7, y-6)
Given:
The vertices of square WXYZ are W(1,7), X(6,5), Y(4,0), and Z(-1, 2).
Consider the rule of transformation is [tex](x, y)\to (x-7, y-6)[/tex].
To find:
The new coordinates.
Solution:
We have,
[tex](x, y)\to (x-7, y-6)[/tex]
Using the above rule of transformation, we get
[tex]W(1, 7)\to W'(1-7, 7-6)=W'(-6,1)[/tex]
[tex]X(6, 5)\to X'(6-7, 5-6)=X'(-1,-1)[/tex]
[tex]Y(4, 0)\to Y'(4-7, 0-6)=Y'(-3,-6)[/tex]
[tex]Z(-1, 2)\to Z'(-1-7, 2-6)=Z'(-8,-4)[/tex]
Therefore, the new vertices are W'(-6,1), X'(-1,-1), Y'(-3,-6) and Z'(-8,-4).
PLEASE GIVE ME AN ANSWER QUICKLY! Hiroshi spends 30 minutes on history homework , 60 minutes on English homework, and x minutes on math homework. One fourth of his total homework time is spent on math. Which equation can be used to find the amount of time Hiroshi spends on his math homework?
A. 1/4 (x+30+60)=x
B. 1/4 (x)=x(30+60)
C. 1/4x(30+60)=x
D. 1/4(x)=(30+60)
Answer:
A
Step-by-step explanation:
He spends:30 mins on History60 mins on Englishx mins on mathso the total time he spends is [tex](TotalTime)minutes=(30+60+x)minutes[/tex] one fourth of this is his math time, since x is math time, then we have [tex]\frac{1}{4}(TotalTime)minutes=(x)minutes[/tex] But we know what totaltime in minutes is so [tex]\frac{1}{4}(30+60+x)minutes=(x)minutes[/tex] or simply: [tex]\frac{1}{4}(30+60+x)=x[/tex]The angle measures of a triangle are shown in the diagram.
Answer:30 is the right answer
Step-by-step explanation:
Can someone help me with 1,2,3
Answer:
I think its
1. AC=14
2.x=6
3.x=4
Does anyone know how to dilate a rectangle by 1/3
Will mark BRAINLIEST!!!!! if possible!
Answer:
Does this help?
Step-by-step explanation:
Multiply (3x2 + y2) by (x2 + 2y2)
Answer:
3x^4 + 7x^2y^2 + 2y^4
Step-by-step explanation:
(3x^2 + y^2) (x^2 + 2y^2)
3x^4 + 6x^2y^2 + x^2y^2 + 2y^4
3x^4 + 7x^2y^2 + 2y^4
-TheUnknownScientist
Please help me!!!!! I’m confused
Answer:
means you divide.
Step-by-step explanation:
A positive you would multiply and a negative you divide.
Does that make sense>
I WILL GIVE BRAINLIEST!!!!
Answer:
the top right is 18 and the bottom middle is 5 there are 18 apples in a group that has 10 pears.
Step-by-step explanation:
ratio
f(1) = 25
(1) =
f(n) = f(n − 1). (-5)
f(3) =
Answer:
f(3)=1
It is correct
Will give brainliest screenshot Will give brainliest screenshot Will give brainliest screenshot Will give brainliest screenshot attached
Answer:
one 5 and 2 ones hope this will help u
Answer:
One and five should be the answer.
Sometimes, people have a pet house mouse. If a mouse could travel at top speed, running 20.25 miles in 2.5 hours, how far could It travel In one hour?
Answer:
8.1 miles
Step-by-step explanation:
You have to divide
What is an equation of the line that passes through the point (-2,-6)(−2,−6) and is parallel to the line x+2y=8x+2y=8?
Answer:
y=
2
1
x−7
Step-by-step explanation:
uii
Answer:
y=1/2x-7
I know it because the guy who typed the other answer was a idiot
There are n nonfiction books and 12 fiction books on a bookshelf. If one of these books is selected at
random, what is the probability of selecting a nonfiction book, in terms of n?
A
n
12
B
n
n +12
С
12
n
D
12
n+12
Answer:
[tex]P=\dfrac{n}{n+12}[/tex]
Step-by-step explanation:
Number of non-fiction books = n
Number of fiction books = 12
We need to find the probability of selecting a nonfiction book, in terms of n.
Total no of books = non-fiction books + fiction books
= n+12
Probability = favourable outcomes/total no of outcomes
Here, favourable outcomes = n
So,
[tex]P=\dfrac{n}{n+12}[/tex]
Hence, the probability of selecting a non-fiction is [tex]\dfrac{n}{n+12}[/tex].
A function is defunded by f(x)=x/4. What is f(-8)?
pls help :(
Which ones form a square?
Answer:
the first one
Step-by-step explanation:
A rectangle has a perimeter of 38+x 38+x centimeters. The rectangle has a length of 3x−2 3x−2 centimeters and a width of x centimeters. What is the length of the rectangle? A. Substitute the dimensions of the rectangle info the perimeter formula P=2w+2l P=2w+2l b. Solve for x. C. Find the length of the rectangle.
Answer:
The length of the rectangle is 6 centimeters
Step-by-step explanation:
The perimeter of a rectangle =
P = 2L + 2W
A rectangle has a perimeter of 38+x centimeters. The rectangle has a length of 3x−2 centimeters and a width of x centimeters.
Hence:
38 + x = 2(3x - 2) + 2(x)
38 + x = 6x - 4 + 2x
Collect like terms
38 + 4 = 6x + 2x - x
42 = 7x
x = 42/7
x = 6 centimeters
The length of the rectangle is 6 centimeters
Which of the following in the picture is true about the function f(x) = (x-7)^2 + 9
Answer:
A).a. The vertex is in quadrant IV and the graph opens down.
Step-by-step explanation:
n − 23 ≥ 19 solve the inequality
Answer:
N greater than or equal to 42
Step-by-step explanation:
You have to look at the equation and then add 23 to both of the sides. After you will get 42 and drop down everything.