Answer: 20,091 is the answer but if you round it becomes to 22,090
Answer:
20091
Step-by-step explanation:
On average, Cody runs 5 miles in 48
minutes. How fast should he plan to
run a 10 miles race if he maintains this
pace?
Answer:
6.25 Miles per hour speed
The sum of the first (n) terms of the sequence is given by the formula (given below) . If this sequence is a geometric progression, find q. If this sequence is an Arithmetic progression, find d
Answer:
We have established the following sequence
6, 12, 18,...
The given is the Arithmetic sequence with the nth term
[tex]a_n=6n[/tex]
d = 6 is a common difference.
Step-by-step explanation:
Given the formula
Sₙ = 3n² + 3n
Put n = 1 to determine the sum of the first term
S₁ = 3(1)² + 3(1)
S₁ = 3 + 3
S₁ = 6
As the sum of the first term includes the only first term, so
a₁ = 6
Put n = 2 to determine the sum of the two terms
Sₙ = 3n² + 3n
S₂ = 3n² + 3n
S₂ = 3(2)² + 3(2)
S₂ = 12 + 6
S₂ = 18
as
S₂ = a₁ + a₂
substituting S₂ = 18, a₁ = 6
18 = 6 + a₂
12 = a₂
so
a₂ = 12
Put n = 3 to determine the sum of the two terms
Sₙ = 3n² + 3n
S₃ = 3(3)² + 3(3)
S₃ = 27 + 9
S₃ =36
as
S₃ = a₁ + a₂ + a₃
substitutingS₃ =36, a₁ = 6, a₂ = 12
36 = 6+12+a₃
a₃ = 36-6-12
a₃ = 18
Thus,
a₁ = 6
a₂ = 12
a₃ = 18
Therefore, the sequence becomes
a₁, a₂, a₃,...
6, 12, 18,...
Let us check the common difference 'd' between the adjacent terms
d = 12 - 6 = 6
d = 18 - 12 = 6
As the common difference 'd' between adjacent terms is the same, therefore the sequence is Arithmetic.
Thus,
d = 6Furthermore, the nth term of the Arithmetic sequence can be defined as
[tex]a_n=a_1+\left(n-1\right)d[/tex]
substituting d = 6 and a₁ = 6
[tex]a_n=6\left(n-1\right)+6[/tex]
[tex]a_n=6n[/tex]
HELPP ILL GIVE BRAINLIEST IF ITS RIGHT HELP HELP
Answer:
A,C,B,E,G,F
Step-by-step explanation:
n mathematics, a rational number is a number such as -3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1.
also
The rational numbers includes all positive numbers, negative numbers and zero that can be written as a ratio (fraction) of one number over another. Whole numbers, integers, fractions, terminating decimals and repeating decimals are all rational numbers.
what is the factored from for -2r-6 PLEASE HELP! WILL MARK BRAINLIEST
Answer:
-2(r+3)
Step-by-step explanation:
Answer:
i think it's the first one
Sam is buying music online. He can download 48 songs in 3 minutes. How many minutes will it take to download 128 songs?
Answer:
8 minutes
Step-by-step explanation:
48/3 = 16
That means he can download 16 songs in 1 minute.
128/16 = 8
This means he takes 8 minutes to download 128 songs.
Annual cost of insurance: $3,570. Employer pays 70 percent. 12 pay periods. Find the cost per pay period.
Felix has 2 yards of ribbon. he needs 1/4 yard to make a bow. how many bows can he make?
Answer: 8
Step-by-step explanation:
#5 Determine the x and y intercept of the following
equation.
2x + y = 6
Answer:
Step-by-step explanation:
y= -2x+6
Y intercept is 6
X intercept is 3
BD is a semicircle.
Answer:
Well... That's a statement, not a question...
A freezer can be bought on hire purchase by making a desposiy of 15% of the cash price which is $2975 the interest which is 20% of the outstanding balance is charged the amount payable is paid in 12 monthly instalements.Calculate the freezer
Answer: See explanation
Step-by-step explanation:
a. The deposit
= 15% × $2975
= 15/100 × $2975
= 0.15 × $2975
= $446.25
b. The hire purchase price
Outstanding balance = $2975 - $446.25 = $2528.75
20% of outstanding balance
= 20% × $2528.75
= 0.2 × $2528.75
= $505.75
Hire purchase price
= $2975 + $505.75
= $3480.75
c. The difference the hire purchase price and cash price
= $3480.75 - $2975
= $505.75
d. The difference as a percentage of the cash price.
= ($505.75 / $2975) × 100
= 0.17 × 100
= 17%
Introductory Algebra: 20% converted into a decimal, wouldn't that be 0.2?
Answer: Yes.
Step-by-step explanation: 20% of 100 would translate into .2 out of 1
Answer:
Yes, coz 20%=20/100
Ans solving 2/100 will give you 0.2
So ya, that's right!
Can someone please help me and show step by step plz so I understand it
Answer:
x=7
Step-by-step explanation:
This problem uses vertical angles! I'm sure you know this but just in case I will explain. Whenever there are two angles that are across from each other in a junction of two straight lines, they are perfectly equal! In this problem, the angles 6x-7 and 4x+7 are the same angle, so those equations have to have the same answer. In order to solve it, you need to write the equations like this:
6x-7=4x+7
From there you can solve for x. I will write my process here:
2x-7=7
2x=14
x=7
Just writing those vertical angle equations as equalities of each other should give you the answers you are looking for!
Examine the diagram, and answer the question.
The points A(2,7)
and B(−4,−3)
are located in the coordinate plane as shown.
Points A and B are shown in the coordinate plane at the locations indicated.
© 2016 StrongMind. Created using GeoGebra.
What is the approximate distance between the two points?
15.6
7.3
6.7
11.7
9514 1404 393
Answer:
11.7
Step-by-step explanation:
GeoGebra can not only draw the picture, it can answer the question. The approximate distance between the points is about 11.7 units.
__
The distance formula is used for this:
d = √((x1 -x1)² +(y2 -y1)²)
d = √((-4-2)² +(-3-7)²) = √(36 +100)
d = √136 ≈ 11.7
_____
Once you find that the distance is about √136, you know it is more than 11 (11² = 121) and less than 12 (12² = 144). The only answer choice that makes any sense is 11.7.
£800 is invested for 3 years at 2% simple interest per year. work out the total interest.
show working out pls I will mark the brainest
Answer:
848.97
Step-by-step explanation:
[tex]800(1 \ + \frac{2}{100} ) {}^{3} [/tex]
= 848.9664
What do you call a cow with no legs?
BRAINLIEST IF YOU CAN TELL ME WHO THE GOAT IN BASKETBALL IS
15 POINTS
Answer:
a burger
Step-by-step explanation:
because the cow is made into a burger lol
Need answers immediately, thank you in advance!
Step-by-step explanation:
this is the answer...............
Write equivalent fractions for 2/3 and 3/5 using 15 as the common denominator.
The denominators of two or more fractions must have a common factor, and the calculation can be defined as follows:
Common denominator:The common denominator should be determined if the denominators are different. Creating a commonality that is the product of the two different denominators is by far the most straightforward means of achieving this. To use it, divide each fraction's numerators by the opposing denominator.[tex]\to[/tex] [tex]\frac{2}{3} - \frac{3}{5}\\\\[/tex]
[tex]\to[/tex] [tex]\frac{10-9}{15}\\\\[/tex]
[tex]\to[/tex] [tex]\frac{10}{15} - \frac{9}{15}\\\\[/tex]
So, the common denominator value by using the 15 is equal to
[tex]\to \frac{2}{3} : \frac{10}{15} : \frac{3}{5}: \frac{9}{15}[/tex]
Find out more about the common denominator here:
brainly.com/question/896263
I need help on this question
Answer:
175.4379
Step-by-step explanation:
Hope this helps. :)
You have budgeted $850 per month for rent. Your landlord has just informed you that your rent is being raised by 5% now and another 5% on December 1st. What will your rent be at the end of this year?
Answer:
$892.50
Step-by-step explanation:
!!! Answer fasttttt plzzz!!!!!!! Will give 20 points and Brainlyest!!!! Which division problem does the number line below best illustrate?
Answer:
10/2
Step-by-step explanation:
first 10/2=5
you divide 10 into 2 until you get 5 of such groups
I need help with this question!
Answer:
1: 3 miles
2: 1 mile
Step-by-step explanation:
THANK YOU SO MUCH FOR THE PERSON ANSWERING THESE
Step-by-step explanation:
18. SAS
side- angle- side
19. SSS
three proportional sides
20.The mid-segment SR of triangle, which joins the midpoints of two sides of triangle, is parallel to the third side of the triangle and half the length of that third side of the triangle.
So s the sides of triangle SFR and GFH are proportional.
21.AAA
two pairs of corresponding angles are congruent and angle B is common.
22.they are not similar because pairs of corresponding angles are not congruent.
96 is not equal to 97 also even not proportional.
23.
x=10
explanation:sides are proportional
26/13=2
so
22/2=11 and 11=2x-9 2x=11+9=20 x=20/2=10
24.
x=11
Because it is given that each pair is similar then we have proportional sides but FM=MG=20 so
LM=MK
50=4x+6
4x=44
x=11
Brian agrees to watch his neighbor’s dogs for 7 days. His neighbor provides a 128-ounce bag of dog food. Buster eats 20.5 ounces in 2 days and Roxy eats 22.5 ounces in 3 days. Does Brian have enough food to feed the dogs all 7 days? Explain.
Answer:
Yes, he has exactly the right amount
Step-by-step explanation:
Buster- 20. 5 = 2 days 20.5+20.5+20.5+10.25= 71.75 for 7 days
Roxy- 22.5= 3 days 22.5+22.5+11.25=56.25 for 7 days
71.75+56.25= 128oz
Brian will have exactly enough food for 7 days
What is the mean absolute deviation of the following set of data 4 6 2 8
Answer:
srry i really need points
Step-by-step explanation:
Ellen takes a multiple-choice quiz that has 4 questions, with 3 answer choices for each question. What is the probability that she will get exactly 1 answer correct by guessing? Probabilities should be entered as fractions in simplest form, decimals rounded to the nearest thousandth, or percents rounded to the nearest tenth.
Answer: The probability is 32/81, or 0.395 in decimal form
Step-by-step explanation:
Each question has 3 answers.
one of the answers is correct, and 2 are incorrect.
Then the probability of selecting at random the correct answer, is equal to the quotient between the number of correct answers and the total number of answers, this is:
p = 1/3.
Then the probability of answering wrong is:
q = 1 - 1/3 = 2/3.
Now, we want to find the probability of answering exactly one question correctly.
Let's suppose that Ellen answers correctly the first question, and incorrectly the other 3.
then we have the probability 1/3 one time, and the probability 2/3 3 times.
And as we know, the joint probability will be equal to the product of the individual probabilities, this is:
P = (1/3)*(2/3)*(2/3)*(2/3).
But this is for the case where only the first one is answered correctly, we also have the cases where:
the 2nd is the only one answered correctly
the 3rd is the only one answered correctly
the 4th is the only one answered correctly.
Then we have 4 permutations, which means that the actual probability of answering only on question correctly is:
P' = 4*P = 4*(1/3)*(2/3)*(2/3)*(2/3) = (4*2*2*2)/(3*3*3*3) = 32/81 = 0.395
How much greater is the perimeter of a square with an area of 144 square meters than the perimeter of a square with a side length of 9 meters?
Answer:
12 meters
Step-by-step explanation:
Area of square = 144 Sq m
[tex]side \: of \: square = \sqrt{144} \\side \: of \: square = 12 \: m \\ \\ perimeter \: of \: square \: \\ = 4 \times 12 \\ = 48 \: m \\ \\ perimeter \: of \: square \: with \: \\ side \: 9 \: m \\ = 4 \times 9 \\ = 36 \: m \\ \\ diference \: in \: perimeters \\ = 48 - 36 = 12 \: m[/tex]
60 students want lemonade and 16 students want iced tea. What is the ratio of the number of students who want iced tea to the number of students who want lemonade?
Answer:
16:60 = 4/15
Step-by-step explanation:
One-half of a cake is divided equally among 4 people at a party. What
fraction of the cake
Answer:
1/8
Step-by-step explanation:
One half of the cake is four slices, and the entire cake (if it was all there) would be 8 slices. For the four slices to be distributed equally among the four people, each person gets 1 slice. 1 slice out of the 8 total in the cake would be 1/8 of the whole.
Answer:
Each person will get 1/8 of the whole cake but 1/4 of half of the cake.
Step-by-step explanation:
Since the cake is cut in half and then in fourths, you need to multiply 1/4 by 1/2 and get 1/8.
I have a question what is 70% of 80
Answer:
56
Step-by-step explanation:
80 x 0.7 = 56
The answer is 56. Your welcome
what does 49 + 2y equal when you means 24?
Answer:97
Step-by-step explanation:
Answer:
97
Step-by-step explanation:
if y = 24, then 2y = 24 * 2
24*2 = 48
48 + 49 = 97
Hope this helps! :)