Answer:
0.1 is the answer...............
The common difference [tex](d)[/tex] of Arithmetic Sequences [tex]4,4.1,4.2,4.3,4.4[/tex] is [tex]0.1[/tex] .
What is Arithmetic Sequence ?Arithmetic Sequence is also known as arithmetic progression and is a sequence of numbers in which the difference between the consecutive terms is constant.
What is common difference ?Common difference is the difference between two consecutive terms of an arithmetic progression.
We have arithmetic progression,
[tex]4,4.1,4.2,4.3,4.4[/tex]
Here,
[tex]a_{1} =4[/tex]
[tex]a_{2} =4.1[/tex]
[tex]a_{3} =4.2[/tex]
[tex]a_{4} =4.3[/tex]
[tex]a_{5} =4.4[/tex]
And,
Common Difference [tex](d)[/tex] [tex]=a_{2} -a_{1} =a_{3} -a_{2} =a_{4}-a_{3}[/tex]
So,
Common Difference [tex](d)[/tex] [tex]= 4.1-4[/tex]
[tex]=0.1[/tex]
So, Common Difference [tex](d)[/tex] is [tex]0.1[/tex] which is the difference of consecutive terms of Arithmetic Sequences.
Hence, we can say that the common difference [tex](d)[/tex] of Arithmetic Sequences [tex]4,4.1,4.2,4.3,4.4[/tex] is [tex]0.1[/tex] .
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Charlie can spend up to 10$ on lunch. He wants to buy a turkey sandwich, a bottle of soda,
and x pounds of macaroni. If a turkey sandwich cost $3.75, a bottle of soda cost $2.25, and
macaroni costs $2 per pound, find the range of pounds of macaroni that Charlie can buy.
Answer:
he can buy 2 pounds of macaroni
Step-by-step explanation:
first you add up the 3.75 and the 2.25 from the turkey and the soda. it ranges to 6 dollars. then if each macaroni pound is 2 you will be able to buy 2 pounds from the 4 dollars you have lefy
Answer:
Charlie can buy 1 or 2 pounds of macaroni
Step-by-step explanation
If we add up the cost of the turkey sandwich and the soda, we get $6.00. Charlie has $10.00 to spend, so when he buys the sandwich and soda, he will have $4.00 left to spend. If the macaroni is $2.00 per pound, then Charlie can buy 1 or 2 pounds of macaroni.
hope this helped
can someone help me T-T
Answer:
This should be the answer
Step-by-step explanation:
One = a, c, f, e
Infinite = d
No = b
HELP HELP! PLEASEEEE
Answer: All of the ones with a positive and negative. If it’s positive and positive or negative with a negative put in the equation, it’ll always equal a positive. Hope that helps!
Answer:
-6 * 7
-8 * 8
11 * (-2)
Step-by-step explanation:
Hope this helps :D
ayeeeeee who watched "the voice" tonight
ayeeeeeeeee not meeee
not me butt ayyyy whos failing school :)
I need help! 6th grade math! ASAP! Only 1 and 3. 10 Points each! WILL GIVE BRAINLYEST!!!
Answer:
Where is the pic?
I will answer in the comments or edit my answer once u post the pic!
:D
Chantay made this square picture. She wants to glue yarn around the border to make a frame. How much yarn does she need?
Answer:
60 I
Step-by-step explanation:
because it would be 15 times 4 right I think
HELP PLEASE AWARDING BRAINLIEST IF CORRECT
Answer:
y=1/4x+9
Step-by-step explanation:
x-4y=-36
add 4y to both sides to find x
x=4y−36
To find y=
add -x to both sides
−4y=−x−36
divide both sides by -4
y=mx+b
y=1/4x+9
The mean number of robberies per month in a certain town is 3. What is the probability that in any given month 5 robberies will occur in this town?
0.01
0.14
0.265
0.916
Answer:
i think its c but not 100% tbh
Step-by-step explanation:
what is central and inscribed angle
Answer:
An inscribed angle is an angle formed by two chords in a circle which have a common endpoint. This common endpoint forms the vertex of the inscribed angle. The other two endpoints define what we call an intercepted arc on the circle. The intercepted arc might be thought of as the part of the circle which is "inside" the inscribed angle.
How manys days makes a leap year?
Answer: In an ordinary year, if you were to count all the days in a calendar from January to December, you'd count 365 days. But approximately every four years, February has 29 days instead of 28. So, there are 366 days in the year. This is called a leap year.
Step-by-step explanation:
How do I plot this?
2 (x - 3) + x(x + 1)
Answer:
[tex]x^{2}[/tex] + 3 - 6
Step-by-step explanation:
Answer:
x2+3x-6
Step-by-step explanation:
please help me!!!!!!!!!!!!!
Find the equation of the line that is perpendicular to y = –3x + 1 and passes though the point (6, 3).
A) y =
1
3
x + 1
B) y = –
1
3
x + 1
C) y = 3x – 5
D) y = –3x – 5
Answer:
A. y=1/3x+1
Step-by-step explanation:
When finding a line that is perpendicular to another line, all you have to do is find the "opposite reciprocal" of the slope. In this case that means writing the slope as the fraction -3/1, and then flipping the fraction over (1/-3) and taking away the negative sign which gets you 1/3 for the slope of your new line. Now, all you have of your new equation is the slope. You need to take your new equation (y=1/3x+b) and plug in the x and y coordinates to that equation, and then solve for the last variable which is b. That solving process goes as follows:
3=1/3*6+b
3=2+b
1=b
now you can replace the b with 1 in your equation to get your final answer of y=1/3x+1
Find the value of 15/4 divided by 5/8
Answer:
6
Step-by-step explanation:
15/4÷5/8
15/4×8/5
=6
Answer:
15/4 is 0.0753 and 5/8 0.0097369
Step-by-step explanation:
One of the zookeepers solved to find Bernard's speed
when he is, healthy using the equation:
x - 41.5 = 13.5.
The other Zookeeper said that to solve for Bernard's
speed when he is healthy, they must use the equation:
41.5 + 13.5 = x.
Which zookeeper is correct? Explain.
Answer:
Well both zookeepers are correct but the second zookeepers answer was more accurate.
Step-by-step explanation:
The first zookeeper gave the equation :
[tex]x - 41.5 = 13.5[/tex]
So , In order to find Benards speed which is denoted as x , we would still have to collect like terms to isolate x.
The second zookeeper gave the equation :
[tex]41.5 + 13.5 = x[/tex]
In this equation the zookeeper had already isolated x so, only simple addition was needed to find Bernard's speed.
This equation is easier to solve.
There were 5 girls in Ms. Smith’s 6th period class. If 45% of students are girls, about how many boys are in her class?
Answer:
5 is 45% of 11.11
Step-by-step explanation:
Is 0.25 rounded to 0.3
Answer: Yes, round it to the nearest tenth
someone help meh please:)
simplify the complex fraction -3/5 2 1/4
Answer: =−1 7/20
(Decimal: -1.35)
Step-by-step explanation: Hope this helped, Happy new years!
What is the slope of the line? (Linear equations and slope quiz I-ready)
Answer: 2
Step-by-step explanation:
The slope of the linear graph in the question obtained using the ratio of the rise and run of the line is 2.
Recall :
Slope = Rise / Run
From the graph :
Rise = y2 - y1 = 5 - (-1) = 5 + 1 = 6
Run = x2 - x1 = 2 - (-1) = 2 + 1 = 3
The slope of the graph can be expressed thus :
Slope = Rise / Run = 6 /3 = 2Therefore, the slope of the line in the graph attached is 2
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A zoo has the ratio to zebras (1 giraffe for every 4 zebras) What percent of this grouping of animals are giraffes? What percent of this grouping are zebras?
Answer:
20% of the animals are giraffes
80% of the animals are zebras
=====================================
Explanation:
Let's say there are 5 animals. This would mean there's 1 giraffe and 4 zebras, since we have four zebras per giraffe.
The percentage of giraffes is 1/5 = 0.20 = 20%
and the percentage of zebras is 4/5 = 0.80 = 80%
The requried percentage of giraffes is 20% and the percentage of Zebras is 80%.
What is the Ratio?The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
What are percentages?the percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
A zoo has the ratio to zebras (1 giraffe for every 4 zebras)
The total proportion of the zebras and giraffes = 5,
Percentage of giraffe = 1 / 5 × 100% = 20%
Percentage of zebras = 4 / 5 × 100% = 80%
Thus, the requried percentage of giraffes is 20% and the percentage of Zebras is 80%.
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Compare 6 ⋅ 108 to 3 ⋅ 106
6 ⋅ 108 is 2,000 times larger than 3 ⋅ 106.
6 ⋅ 108 is 200 times larger than 3 ⋅ 106.
6 ⋅ 108 is 20 times larger than 3 ⋅ 106.
6 ⋅ 108 is 2 times larger than 3 ⋅ 106.
Answer:
6 ⋅ 108 is 2 times larger than 3 ⋅ 106.
(6 x 10^8) ÷ (3 x 10^6) = 200
So the answer is 6 ⋅ 10^8 is 200 times larger than 3 ⋅ 10^6.
Hopes it helps.
Find the area.
A. 91 ft
B. 78ft
C.77 ft
D. 105ft
Answer:
78
Step-by-step explanation:
11(a) + 15(b) / 2×6(h)
Ashley had a summer lemonade stand where she sold small cups of lemonade f
or $1.25 and large
cups for $2.50. If Ashley sold a total of
155 cups of lemonade for $265, how ma
ny cups of each
type did she sell?
Answer:
$267.7
Step-by-step explanation:
Consider the rates 4/5 miles in 8 minutes and 4 minutes to travel 2/5 mile
Answer:
960
Step-by-step explanation:
I'm not sure exactly what's the question, but here's what I found. Lets first put it in our own words.
Consider the speed 4/5 miles in 12 minutes to travel 2/8.
8 + 4 = 12, so you can replace that with 12 minutes.
Now, you can absolutely guess your question.
Time = 12 minutes.
Distance = x (Let x be distance)
Speed = 4/5.
Now, you find distance.
Distance Formula: You can use the equivalent formula d = st which means distance equals rate times time.
So 4/5 × 12, is 9.6.
In fraction, if you have 1 numbers after the decimal point, multiply both numerator and denominator by 10. So 9.6 = (9.6 × 10) × 10 = 960.
Here is a pattern I found
2/5 divided by 4 is 1/10
4/5 divided by 8 is 1/10
If , we consider the given rates , we find that both rates are equivalent.
Two rates are given which are 4/5 miles in 8 minutes and 2/5 miles in 4 minutes.
We have to find out what they actually indicate.
What is the unitary method?
The unitary method is a method in which we find the value of a unit and then the value of the required number of units.
As per the question ;
Two rates are given which are ; 4/5 miles in 8 minutes and 2/5 miles in 4 minutes.
Let's find out what they are actually indicating.
So ;
If , distance travelled in 8 minutes = 4/5 miles
Then ;
In 1 minute , distance travelled will be ;
= [tex]\frac{4}{5*8}[/tex]
= [tex]\frac{4}{40}[/tex]
= 1 / 10 miles
and
If , distance travelled in 4 minutes = 2/5 miles
Then ;
In 1 minute , distance travelled will be ;
= [tex]\frac{2}{5*4}[/tex]
= [tex]\frac{2}{20}[/tex]
= 1 / 10 miles
So , we can conclude that both rates are equivalent.
Thus , if we , consider the given rates , we find that both rates are equivalent.
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Hakim Ellison wants to buy a 4 door sport utility vehicle 4 wheel drive hybrid. There is an 8% sales tax on the purchase price of the SUV in his state. If he pays the full sticker price for the SUV, how much is the total?
Answer: $60401.16
Step-by-step explanation:
From the attached image, the total price for the vehicle = $55,927.
If he were to pay the full sticker price for the SUV, the total would sum up to
= $55,927 + 8% sales tax
= $55,927 + 8/100( $55,927)
= $55,927 + 0.08($55,927)
= $55,927 + $4474.16
= $60401.16
The total would sum up to $60401.16
Solve the compound inequality n+2≤−5 and n+6≥−6 .
What Ps the value
of (100)^o
Answer:
(100)^0=1
Step-by-step explanation:
This follows the laws of indices
any help is appreciated ❤️
Understanding:
[Q4] Slope intercept form is [tex]y=mx+b[/tex], where m is slope and b is the y-intercept. We calculated the slope in the previous question which was -45. We can find b by using any point on the previous table and replacing it's x and y values, for this example, I'm going to use (0,1080).
[tex]y=mx+b\\1080=-45(0)+b\\b=1080[/tex]
Now, we can rewrite the equation as follows
[tex]y=-45x+1080[/tex]
[Q5] To find the y-intercept we simply replace every x value with a 0,
[tex]y=-45x+1080\\y=-45(0)+1080\\y=1080[/tex]
This means the y-intercept is at [tex](0,1080)[/tex].
For the x-intercept, you replace the y value with a 0 and solve for x,
[tex]y=-45x+1080\\0=-45x+1080\\-1080=-45x\\x=24[/tex]
This means the x-intercept is at [tex](24,0)[/tex].
Solutions:
[Q4] [tex]y=-45x+1080[/tex]
[Q5] x-intercept: [tex]x=24[/tex]; y-intercept: [tex]y=1080[/tex]
[Q6] The x-intercept represents the months it takes Philip to fully pay his friend for the car. The y-intercept represents the total amount Philip had to pay his friend.
Enter the equation of the line in slope-intercept form.
The line parallel to y =
7
2
x + 6 that passes through (−2, 0).
The equation of the line that passes through (−2, 0) is y = .
Answer:
y = 7/2x + 7
Step-by-step explanation:
0 = 7/2(-2) + b
0 = -7 + b
b = 7
y = 7/2x + 7