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
DO IT FOR TIMOTHEE
What are the differences and similarities between continuous linear functions and continuous exponential functions? Fankssss :)
Answer:
Via its graph, you can identify exponential and linear functions. Linear functions are straight lines, while curved lines are exponential functions. By the adjustment in y, you can also recognize them. If you apply the same number to y, then the function changes continuously and is linear.
Step-by-step explanation:
Answer:
Ask it to Timothee
Step-by-step explanation:
Find the solution of the system of equations.
-x+2y=-15
8x-2y=-20
Answer:
the answer is (-5,-10)
hope this helps :)
You sell lemonade around town and you can make $0.30 from each bottle of lemonade. The total amount of money you earn is 0.3b, where b represents the number of bottles of lemonade you sell. If b = 30 bottles of lemonade, how much you can make?
Answer:
$9
Step-by-step explanation:
Cost per bottle of Lemonade = $0.30
Let b represent the number of bottles that you sell which is given as:
30 bottles
Equation for solving
= 0.30 × b
= 0.30b
Hence,
Total cost for 30 bottles of Lemonade is:
0.30 × 30
= $9
Hence, you can make $9 from selling 39 bottles of Lemonade.
Two sides of an obtuse triangle measure 9 inches and 14 inches. The length of longest side is unknown. What is the smallest possible whole-number length of the unknown side? 16 inches 17 inches 24 inches 25 inches
Answer:
17 inches
Step-by-step explanation:
An obtuse triangle is the triangle in which one of the side is the longest. It contains an obtuse angle and the longest side is the side that is opposite to the vertex of the obtuse angle.
Let the three sides of the obtuse triangle be a, b and c respectively with c as the longest side. Let a = 9 inches and b = 14 inches.
Now we know that for an obtuse triangle,
[tex]$c^2 > a^2 +b^2$[/tex]
[tex]$c^2 > (9)^2 +(14)^2$[/tex]
[tex]$c^2 > 81 +196$[/tex]
[tex]$c^2 > 277$[/tex]
c > 16.64
Therefore the smallest possible whole number is 17 inches.
It should be noted that the length of the unknown side will be 17 inches.
From the information given, we are informed that the sides of an obtuse triangle measure 9 inches and 14 inches.
Therefore, the third side will be:
c² = 9² + 14²
c² = 81 + 196
c² = 277
c = ✓277
c = 16.64
c = 17
In conclusion, the correct option is 17 inches.
Learn more about triangles on:
https://brainly.com/question/17335144
What is the slope of the line that passes through
the points (-4, -8) and (-8,-6)?
Answer:
-0.5 or -1/2
Explanation:
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
to find the slope
-2
4 up, 2 to the left. 4/2 = 2, but becuase it is going down to the right, you make it negative.
Please make me the brainliest. Thank you
3. When did the law become effective?
Answer:
which law?
Step-by-step explanation:
which is equivalent to 15n^6 ÷ 5n^3
A. 1/3n^2
B.1/3n^6
C. 3n^6 ÷ n^3
D.3n^3
Answer:a
Step-by-step explanation:
8. The value of y is directly proportional to the value of x. If y = 35 when x = 140, what is the value of y when x = 70? Record your answer and fill in the bubbles on your answer document.
Answer:
y = 17.5
It says y is proportional to x, and y = 35 when x = 140, but we don't know what y is when x = 70. So since y is proportional to x and x = 140 we have to find out how 140 gets to 70, and that is dividing by 2 because 70 is half of 140. So then you would just divide the previous y value, 35, by 2, and you would get 17.5. And there you go, you've got you're answer.
how do you simplify 8*1/10
Answer:
Improper its 81/10
Step-by-step explanation:
8 1/10~ we should multiply denominator with whole number then add numerator:
10 x 8 = 80+ 1 = 81
In improper its- 81/10
Hope this helps :D
A parachute speed during a free fall reaches117 miles per hour What is the speed in feet per second At the speed how many feet will the parachute fall during 10sec in your
Answer:
Speed is 171.6 ft/s and distance is 1716 feet
Step-by-step explanation:
Given that,
The speed of a parachute = 117 miles per hour.
1 mph = 1.47 ft/s
117 mph = 171.6 ft/s
We need to find the distance it travel during 10 s. We know that the distance covered is equal to the product of speed and time taken. So,
d = vt
[tex]d=171.6\ ft/s\times 10\ s\\\\=1716\ \text{feet}[/tex]
Hence, this is the required solution.
The number of mosquitoes in Anchorage, Alaska (in millions of mosquitoes) as a function of rainfall (in centimeters) is modeled by: m(x)=-x^2+14xm(x)=−x 2 +14xm, left parenthesis, x, right parenthesis, equals, minus, x, squared, plus, 14, x What is the maximum possible number of mosquitoes?
Answer:
The maximum number of mosquitoes is 7
Step-by-step explanation:
Given
[tex]m(x)= x^2 + 14x[/tex]
Required
Determine the maximum number of the function
First, we differentiate the given function w.r.t x
[tex]m'(x) = -2x + 14[/tex]
Then, we equate m'(x) to 0
[tex]0 = -2x + 14[/tex]
Lastly, we solve for x
[tex]0 = -2x + 14[/tex]
Make 2x the subject
[tex]2x = 14[/tex]
Make x the subject
[tex]x = 14/2[/tex]
[tex]x = 7[/tex]
Answer:
49 Million
Step-by-step explanation:
is there anyone who can help by inviting me on the topper, please help I will give brainlist
Answer:
the what?
Step-by-step explanation:
lma.o
please help i’ll give brainliest
Answer:
Step-by-step explanation:
1 in is 35 feet
1.25 * 35= 43.75 feet
Answer:
43.75
Step-by-step explanation:
1.25 * 35 = 43.75
What’s the answer to this question if your right I’ll keep giving you points
[tex]\huge\text{$m\angle O=\boxed{11^{\circ}}$}[/tex]
Since we know that all angles in a triangle add up to [tex]180^{\circ}[/tex], we can solve for [tex]x[/tex] and substitute it back into [tex](x-5)^{\circ}[/tex] to find [tex]m\angle O[/tex].
[tex]\begin{aligned}m\angle N+m\angle O+m\angle P&=180\\(5x-8)+(x-5)+(6x+1)&=180\end{aligned}[/tex]
Remove the parentheses and combine like terms.
[tex]\begin{aligned}5x-8+x-5+6x+1&=180\\(5x+x+6x)+(-8-5+1)&=180\\12x-12&=180\end{aligned}[/tex]
Add [tex]12[/tex] to both sides of the equation.
[tex]\begin{aligned}12x-12&=180\\12x&=192\end{aligned}[/tex]
Divide both sides of the equation by [tex]12[/tex].
[tex]\begin{aligned}x=16\end{aligned}[/tex]
Now that we have the value of [tex]x[/tex], we can substitute it back into [tex](x-5)^{\circ}[/tex] to find [tex]m\angle O[/tex].
[tex]\begin{aligned}m\angle O&=(x-5)\\&=16-5\\&=\boxed{11}\end{aligned}[/tex]
2000x+6000=3600-40000
Answer:
x = -21.2
Step-by-step explanation:
2000x + 6000 = 3600 - 40000
2000x = -36400 - 6000
x = -42400 / 2000
x = -21.2
Hope this helped!
Answer:
x = − 106/5Step-by-step explanation:
How to solve your question
Your question is
2000x+6000=3600−40000
Subtract the numbers
2000x+6000=3600−40000
2000x+6000=−36400
Subtract
6000
60006000
from both sides of the equation
2000+6000=−36400
2000x+6000=-364002000x+6000=−36400
2000+6000−6000=−36400−6000
Divide both sides of the equation by the same term
2000=−42400
2000x=-424002000x=−42400
20002000=−424002000
\frac{2000x}{{\color{#c92786}{2000}}}=\frac{-42400}{{\color{#c92786}{2000}}}20002000x=2000−42400
5
Solution
x= −106/5
Which of the following equations matches the table below?
Answer:
i cant see it
Step-by-step explanation:
the fifth oneeee!!!!
Answer:
C because 5 times any of the numbers do not equal the y value
Step-by-step explanation:
Graph y=47x−2.
Use the line tool and select two points on the line.
Answer :slope is 47 y intercept is (0,-2)
Step-by-step explanation:
Describe a sequence of transformations that shows that Polygon A is
congruent to Polygon B.
Answer:
25
Step-by-step explanation:
5/8
of Mrs. Jackson’s class have ear buds.
2/3
of the ear buds in her class are black. What fraction of
the scholars have black ear buds?
Answer:
5/12
Step-by-step explanation:
Total ear buds in Mrs. Jackson’s class = 5/8
Number of black ear buds in Mrs. Jackson’s class = 2/3
What fraction of
the scholars have black ear buds?
2/3 of the scholars have black ear buds in Mrs. Jackson’s class
2/3 of 5/8
= 2/3 × 5/8
= 10/24
= 5/12
Fraction of the scholars that have black ear buds = 5/12
3/4 of 24 is 3 groups of 6, which is 18. So Han ate 18 less than Tyler, or Han at 6. So you take the 24(x) and you subtract 24 of 24(-3/4x) to get to Han total.
Answer:
Step-by-step explanation:
Let the total amount ate by Tyler and Han be 24
Let the amount Tyler ate be x
Amount Han ate be y
If Tyler ate 3/4 of the total, then Amount ate by Tyler is expressed as;
x = 3/4of 24
x = 3/4×24
x = 3×6
x = 3(6)
x = 18
Hence the amount Tyler ate is 18
If Han ate 18 less than Tyler, the amount ate by Han will be;
Han y = 24-(3/4(24)
y = 24-{3(6)}
y = 24-18
y = 6
Hence the total Han ate is 6
i help to answer this problem
Answer:
4x+9+x+17=180-29
5x+26=151
5x=125
x=25
Karra is at the dollar store buying bags of chips for her sleepover party. For every 5 bags of chips she buys, she pays $6. What is the price per bag of chips? *Money always has two numbers after the decimal.
Answer:
$1.20
Step-by-step explanation:
Given that:
Price paid to buy 5 bags of chips = $6
To find:
Price per bag of chips in two digits after the decimal.
Solution:
To find the price of each bag of chips, we need to divide the price of 5 bags of chips with 5.
i.e. we need to divide $6 with 5, then we will get the price of each bag of chips.
[tex]\text{Price of each bag of chips}=\dfrac{\text{Price of 5 bags of chips}}{5}\\\Rightarrow \dfrac{\$6}{5} = \bold{\$1.2}[/tex]
Therefore, the answer is:
Price of each bag of chips is $1.2.
A) Classify graphs A and B as either an exponential decay or exponential growth. Supplement your
answer
Graph A
Graph B
Answer:
You need to give us the graph to answer.
Step-by-step explanation:
There are 80 seats on a train. 76 of the seats are empty. What percentage of the seats on the train are empty?
Answer:
95%
Step-by-step explanation:
Answer:
95%
Step-by-step explanation:
Multiply both 80 and 76 by 100, to get 800 and 760. Then divied both by 8 to get 100 and 95. 95 is 95% of 100, and so 76 is 95% of 80. Hope this helps!
A school had 1,200 students last year and only 984 students this year. What was the percentage decrease in the number of students?
Answer:
46%
Step-by-step explanation:
Each unit on the map represents 1 mile. To the nearest tenth of a mile, what is the distance from the
library to the supermarket?
Answer:
5.8 miles
Step-by-step explanation:
Distance of library(3, 2) to the supermarket (6, 7) using distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Where,
[tex] (3, 2) = (x_1, y_1) [/tex]
[tex] (6, 7) = (x_2, y_2) [/tex]
Plug in the values into the formula
[tex] d = \sqrt{(6 - 3)^2 + (7 - 2)^2} [/tex]
[tex] d = \sqrt{(3)^2 + (5)^2} [/tex]
[tex] d = \sqrt{9 + 25} [/tex]
[tex] d = \sqrt{34} = 5.8 miles [/tex] (nearest tenth).
what are the answers?
Answer:
if you can please explain more of the context (what do they mean by turn around sentence) I'd be happy to help!
A rectangle has a length of 8.3 cm and a perimeter of 22.4 cm.
What is the width of the rectangle in decimal form?
Answer:
the perimeter is simply 2L + 2W
So lengthy 8.3
2(8.3) + 2(w) =22.4
16.6=2(w) =22.4
2(w) = 5.8
w = 5.8 divide by 2
The width is 2.9
Help me with this one please
Answer:
?=78
Step-by-step explanation: