Is the sequence Arithmetic: 37, 31, 25, 19
Answer:
Yes, it is an Arithmetic Sequence
Step-by-step explanation:
[tex]31 - 37 = - 6 \\ \\ 25 - 31 = - 6 \\ \\ 19 - 25 = - 6 \\ [/tex]
Since the difference between any two consecutive terms is same (- 6). Hence, 37, 31, 25, 19 is an Arithmetic sequence.
Yes, 37, 31, 25, 19 is an Arithmetic sequence.
What is arithmetic sequence?An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.
If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:
a, a + d, a + 2d, ... , a + (n+1)d, ...
(for all positive integer values of n)
thus, the common difference is T_{n+1} - T_n
for all positive integer values of n
Given sequence; 37, 31, 25, 19
We can see that the difference between the terms are equal;
31 - 37 = - 6
25 - 31 = - 6
19 - 25 = - 6
Since the difference between any two consecutive terms is same.
Hence, 37, 31, 25, 19 is an Arithmetic sequence.
Learn more about arithmetic sequence here:
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I have socks is purchased at wholesale for two dollars. It is then sold for four dollars to the customer. What is the percentage increase?
Answer:
50%
Step-by-step explanation:
Answer:
50%
Step-by-step explanation:
If the original price is $2, and the person then sells it for $4, the markup is 50% because 4/2 is 2.
Jackson wants to attend a 2-year technical college that costs $7,200 per year. His parents plan to contribute 50% of his tuition each year. Jackson wants to save money while working at his summer job for the next 2 years. How much will he need to save each summer in order to have enough money for his first year's tuition?
Answer:
$3600Step-by-step explanation:
Given
Collège cost=$7,200
Collège cost for 2 years= $7,200x2=$14400
50% of the cost cost for 2 years= $7,200
So for the remaining $7,200 Jackson will need to sort it himself for the next two years
So that per year he must save 7200/2= $3600
Write the following sentence in if-then form
“ an acute angle has a measure less than 90”
Answer:
If the angle is less than 90 degrees, it is an acute angle.
Step-by-step explanation:
you are getting your hair cut and it costs you $18.30 you decide to tip the hairdresser 15% how much did you pay in total
Answer:
You pay $21.05 in total!
Place the numbers from 1 to 5
in the circles. Use each
number once only The sum
must be the same in both
directions!
Answer:
2 top left 5 middle 3top right then 4 and 1 going down
Find the probability of drawing a white ball from a bag containing 4 white
and 6 black balls.
Answer:
0.4 or a 40% Chance. Because its 4/10.
Find the missing side lengths.
Step-by-step explanation:
let x be the missing side length.We know that hypotenuse is 2x because x is opposite the 30 angle.
Using pythagorean theorem we have that x^2+9^2=(2x)^2
81=4x^2-x^2
81=3x^2
x^2=81/3=27
x=√27
so the missing side is √27
Please help I’ll give brainiest!!
Answer:
m(x)=-1/5x+2.5
Answer:
I believe it is the second choice, m(x)= 5x-12.5 since the points given and this line overlap which therefore indicates a relationship. Also they have the same y intercept.
Which of the following is a trinomial with a constant term?
Question: Two years ago, my age was four times the age of my son, eight years ago my age was ten times the age of my son find the age of my son now This question has already been explained by my friend, but I don't get how she knew she had to get the dad's age in terms of sons age, + 6 to it, and then solve it. Someone please explain
Answer:
My age is 38 years old
My son is 11 years old
Step-by-step explanation:
Represent my current age with x and my son's current age with y
Two years ago;
[tex]x - 2 = 4 * (y - 2)[/tex]
Eight years ago:
[tex]x - 8 = 10 * (y - 8)[/tex]
Simplify both expressions
[tex]x - 2 = 4 * (y - 2)[/tex]
[tex]x - 2 = 4y - 8[/tex]
Add 2 to both sides
[tex]x - 2 +2= 4y - 8 + 2[/tex]
[tex]x = 4y - 6[/tex]
Substitute 4y - 6 in the second equation
[tex]x - 8 = 10 * (y - 8)[/tex]
[tex]4y - 6 - 8 = 10 * (y - 8)[/tex]
[tex]4y - 14 = 10y - 80[/tex]
Collect Like Terms
[tex]4y - 10y = 14 - 80[/tex]
[tex]-6y = -66[/tex]
Divide through by -6
[tex]y = 11[/tex]
Substitute 11 for y in [tex]x = 4y - 6[/tex]
[tex]x = 4 * 11 - 6[/tex]
[tex]x = 44 - 6[/tex]
[tex]x = 38[/tex]
-4/5 - (-2/5) + 4/7 evaluate the expression help plz
Answer:
6/35
Step-by-step explanation:
-4/5 - ( - 2/5 ) + 4/7
-4/5 - ( - 2/5 ) + 4/7
-4/5 - [tex]\frac{-2}{5}[/tex]+ 4/7
[tex]\frac{-2}{5}[/tex] + 4/7
6/35
Which set of numbers are closed under subtraction?
Natural Numbers
Integers
Irrational Numbers
Odd Numbers
The gallons of gas varies directly to number hours driving a car. Dylan drove 3 hours on 15 gallons of gas. If he drove for 35 hours, how many gallons of gas is that?
Answer:
I am unable to solve this problem Sorry
Step-by-step explanation:
Answer:
About 30
Step-by-step explanation:
I Multiply 3 to 35 then subtracted 15
in grade six class, of the pupils are boys and the number of pupils are 180.Find the number girls?
Answer:
i could of work it but u didnt put how much pupils are boys ,i dont know if your not suppouse to put it .
Step-by-step explanation:
but if there was a number for boys .
subbtract 180 by the amount of boys and the remaining are the girls
What is the image of (1,8) after a dilation by a scale factor of 4 centered at the origin?
Answer:
(5,40)
Step-by-step explanation:
Answer:
Step-by-step explanation:
-1,8
I NEED HELP ASAP.
A factory manufactures 7.1x10⁵ bottles of ketchup per month. How many bottles are manufactured in a year?
Answer:
8,520,000
Step-by-step explanation:
hope it help
Step-by-step explanation:
factory manufactures 71*10^5 bottles of ketchup per month.
In a year:
71*10^5*12=71*12*10^5=852*10^5=852*100000=
85200000 bottles of ketchup in a year.
Yesterday, the snow was 2 feet deep in front of Archie’s house. Today, the snow depth dropped to 1.6 feet because the day is so warm. What is the percent change in the depth of the snow?
The percent change in the depth of snow from yesterday to today is
%
Answer:
20%
Step-by-step explanation:
2-1.6=0.4
0.4/2x 100
40/200=1/5 or 20%
NEED HELP FINDING X ASAP
-16 I think I used an online algebra calculator want the link?
Choose the value that breaks this gem into 10 equal pieces
Answer:
25 percent
Step-by-step explanation:
cuz am smart
distance be tween (5,-8) and (5,2) on the coordinate plane
Answer:
10 is the distance
Step-by-step explanation:
d = square root (x2-x1)^2 + (y2-y1)^2
(5-5)^2 = 0
(2-(-8))^2 = 100
0 + 100 = 100
square root 100 = 10
A sweater is marked down from $25 to $18. What is the percent of change
Answer:
28 percent off is the answer :)
Step-by-step explanation:
Answer: -28%
18 - 25 / 25
x 100% = -28%
Step-by-step explanation: A change from 25 to 18 represents a negative change, or decrease of -28.000000000000004%
I hope this is somewhat helpful :)
x divided by 4 = -7 What is x? Show your work
Step-by-step explanation:
Here's the answer hope it helps
Ms. Waston made a cake that has a silkscreen photo on the icing. The width of the square photo on the cake is 3 times the width of the original photo, n. The area of the icing in square inches can be found with the expression shown below. Which statement best describes the term (3n)?
Answer:
the formula for the width of the photo on the cake
Step-by-step explanation:
The term 3n is best described as the formula for the width of the photo on the cake. That is because, as described in the question the original photo has a width of length n. While the photo on the cake is 3 times that of n, meaning that the formula is stating that the width of the photo is 3 multiplied by the value of n. Which is represented as 3n, just as shown in the question. Therefore, that would be the best representation of that term.
A car rental company rents only one type of car. The table shows the cost to rent a car from the
company
Number of
Days
Cost
2
$72
3
$85
5
$111
The rental cost includes a one-time cleaning fee plus a daily rate. What is the cleaning fee?
Enter the numerical value only - no variable, no units.
Answer:
$72 that is the answer for the question
Order -6 1/4, -6.35, -6 1/5, and 6.1 from greatest to least. Explain.
Help plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
y=-2/3x+5
Step-by-step explanation:
REASONING An even integer can be represented by the expression $2n$ , where $n$ is any integer. Find three consecutive even integers that have a sum of 54. The three consecutive even integers, in order from least to greatest, are , , and . Explain your reasoning. Expressions for the next two consecutive even integers after $2n$ are and . Solving the equation $=54$ , and substituting the solution into the expressions for the three integers results in the three integers given above.
Answer:
First Integer = 16
Second Integer = 18
Third integer = 20
Step-by-step explanation:
An even integer is represented by 2n
Where n is any integer
Let :
First Integer = 2n - 2
Second Integer = 2n
Third integer = 2n + 2
The sum of three even consecutive numbers = 2n - 2 + 2n + 2n + 2
= 2n + 2n + 2n - 2 + 2 = 54
= 6n = 54
n = 54/6
n = 9
First Integer = 2n - 2 = 2(9) - 2
= 16
Second Integer = 2n = 2(9)
= 18
Third integer = 2n + 2 = 2(9) + 2
= 20
What does “m” stand for in the slope formula?
A. y axis
B. y coordinated
C. slope
D x coordinated
Can someone please help me real quick?
Answer:
3.5p ≤ 40
Step-by-step explanation:
The inequality that best describes this problem is 3.5p ≤ 40;
Given parameters:
Total amount with me = $40
Cost per package of hot dog = $3.5
Unknown;
The inequality that represents the problem = ?
Solution:
p is the number of hotdogs that can be bought.
So, total hotdog that can be bought if each hotdog cost $3.5 per box is;
p x 3.5
Now,
this will equal the total amount at hand;
p x 3.5 ≤ 40
3.5p ≤ 40