The sum of four consecutive odd integers is 328. What are the integers? show your work please
Step-by-step explanation:
For a formal algebraic solution, you might do something like this....
x = 1st integer
x+2 = 2nd
x+4 = 3rd
x+6 = 4th
The sum is 328:
Then solve that equation to find x and thus find the solution to the problem.
Or, if formal algebra is not required (and you want to get the answer as fast as possible)....
The average of the four integers is 328/4 = 82; the four integers are the two odd integers either side of 82 and closest to 82 -- 79, 81, 83, and 85.
The required consecutive odd integers are 79, 81, 83, and 85 whose sum is 328.
Given that,
The sum of four consecutive odd integers is 328. What are the integers is to be determined?
A number system is represented as a process of writing to represent digits. It is the mathematical inscription for describing numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.
Here,
let the consecutive odd number be
2n + 1 , 2n +3, 2n + 5, 2n + 7
Whose sum is 328. So,
2n +1 + 2n + 3 + 2n + 5 + 2n +7 = 328
8n + 16 = 328
8n = 312
n = 39
Now,
2n + 1 = 39 * 2 + 1 = 79
Similarly
2n +3 = 81
2n + 5 = 83
2n + 7 = 85
Thus, the required consecutive odd integers are 79, 81, 83, and 85 whose sum is 328.
Learn more about the number system here:
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What is the first 4 terms of 5-2n
Answer:
3,1,-1,-3
Step-by-step explanation:
there you go the four terms 5/5
10th term -15
The distributive works for multiplication and addition. You switch the order of the problem but it doesn't change the final product or sum.
Answer:
Is there a question?
Step-by-step explanation:
If it is, by the way I look at it, To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
Which of the following is not an aquatic ecosystem
A. Marsh
B. River.
C. Tundra
D. Swamp
Answer:
marsh.
Step-by-step explanation:
hope it help goodluck bro............
what is the formula for x^2+y^2
Answer:
please make me brainliest answer
Step-by-step explanation:
x2 + y2 = r2
HeLp ME PLEASE!!!!!!!!!!!!!!
Name the figure below in two different ways.
IB
N
Symbol:
and
What is the solution to the equation 6 x + 2 = 9 x minus 1?
x = negative 3
x = negative 1
x = 1
Answer:
X=1
Let me know if you need any other help
Step-by-step explanation:
1. subtract 2 from both sides
6x+2-2=9x-1-2
2. Simplify
6x=9x-3
3. Subtract 9x from both sides
6x-9x=9x-3-9x
4.simplify
-3x=-3
5.divide both sides by -3
-3/-3=-3/-3
=1
Answer:
the answer is 1
Step-by-step explanation:
i got it right, trust me.
Find each unit rate. Round to the nearest hundredth if necessary.
144 miles on 4.5 gallons
Determine whether the lines AB and CD would be parallel, perpendicular, or neither?
A(-5,3) and B(-5, 7)
WILL GIVE BRAINLIEST
What is the slope of AB?
C(1, 9) and D(-10, 9)
What is the slope of CD?
What are the lines? (parallel, perpendicular or neither)
Answer:
Slope of AB is undefined; slope of CD is 0; the lines are perpendicular.
Step-by-step explanation:
Slope (M) can be found with the equation M=y2-y1/x2-x1, or change in y over change in x. In this equation, finding the slope is very easily done without even using the equation, because it can be seen in AB that the x value doesn't change (showing a vertical line), and in CD the y value doesn't change (showing a horizontal value). When they intercept, they make a cross-shape, so they are perpendicular.
Tell whether the number belongs to each of the following number sets
12/3
What number is 1/26 of 520
Answer:
n = 20
Step-by-step explanation:
26n = 520
To isolate n, multiply both sides by 1/26
n = 20
3. Answer the questions by drawing on the coordinate plane below.
(a) Draw the image of after a rotation of 180° about the origin. Label the image .
(b) Draw the image of after a reflection across the x-axis. Label the image
Answer:
Step-by-step explanation:
1) P (1,1) Q( 3,2) R(3,4)
Answer:
(-1,1),( -3,2), (-3,4)
Step-by-step explanation:
The circumference of a cirlcle is 125.6 ft. What os the area?
Nellie has a bankruptcy on her credit report and therefore pays higher interest rates on her current loans. She took out a car loan for $45,000 payable for 6 years at an interest rate of 15%. If she had not applied for bankruptcy, she would have been able to take out the loan at a rate of 6%. Approximately how much more in interest over the life of the loan does Nellie have to pay?
a. $68,510.16
b. $53,696.16
c. $32,206.32
d. $14,814.00
The amount of extra interest that will be paid is $24300
Since Nellie took out a car loan for $45,000 payable for 6 years at an interest rate of 15%, the interest that she will pay will be:
= ($45000 × 6 × 15) / 100
= $40500
On the other hand, if she hasn't applied for bankruptcy, the amount that she will pay will be:
= ($45000 × 6 × 6) / 100
= $16200
Therefore, the difference between the interest will be:
= $40500 - $16200
= $24300
The correct option is $24300. The given options are incorrect.
Read related link on:
https://brainly.com/question/25052422
Answer:
the awnser is D. $14,814.00
(3,0);m=2/3 how to solve
Answer:
(
3
,
0
)
;
=
2
/
3
Step-by-step explanation:
someone pls help meeeee!!!!!!
Step-by-step explanation:
y = y
x - 2 = 2x - 3 - 3x²
3x² + x - 2x = - 3 + 2
3x² - x = - 1
.
a = 3, b = -1, c = 0
.
[tex]\sf{x = \frac{-b \pm \sqrt{b^{2} - 4ac} }{2a} }[/tex]
[tex]\sf{x = \frac{- (-1) \pm \sqrt{-1^{2} - 4 (0)} }{2(3)} }[/tex]
[tex]\sf{x = \frac{ 1 \pm \sqrt{1 - 0} }{6} }[/tex]
[tex]\sf{x = \frac{ 1 \pm \sqrt{1} }{6} }[/tex]
[tex]\sf{x = \frac{ 1 + 1 }{6} }[/tex]
[tex]\sf{x = \frac{ 2 }{6} }[/tex]
[tex]\sf{x = \frac{ 1 }{3} }[/tex]
.
Substitution :
y = x - 2
y = ⅓ - 2
y = ⅓ - 6/3
y = - 5/3
y = - 1 ⅔
.
A line that includes the point(4, 5)has a slope of 0 .What is its equation in slope-intercept form?
Answer:
y = 5
Step-by-step explanation:
y = 0x + b
5 = 0(4) + b
5 = 0 + b
5 = b
Combine like terms to create an equivalent expression. Enter any coefficients as simplified proper or improper fractions or integers.
-2/3a + 5/6a - 1/6
Answer:1/6a-1/6
Step-by-step explanation:
i did it on khan academy
Puppies have 28 teeth and most adult dogs have 42 teeth. Find the prime
factorization of each number. Write the result using exponents.
Answer:
28= 14 to the second power
42 = 14 to the third power
Step-by-step explanation:
Hi there!
»»————- ★ ————-««
I believe your answer is:
28 = 14^3
42 = 14^3
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Find the perimeter and area of the polygon shown below.
Answer:
I'm sorry. I cannot explicitly give you an answer. The picture of the polygon is not provided. You may have forgotten to upload it, nevertheless, I''ll try my best to be of help to you.
Step-by-step explanation:
There are many different polygons. But the general formula to finding the perimeter of a polygon is:
P = n * l
n = number of sides
l= value shared and assigned to each side
The general formula to finding the area of a regular polygon is:
A = (n*l*apothem )/2
n = number of sides
l = length of one side
apothem = the value of the segment connecting the center of the polygon to a midpoint of one of the sides.
Hope this helps a little! You can always submit the question again with the picture and I'll be more than happy to help you. <3
what is 2 divided by -1/4
Answer:
-8 is the answer
Step-by-step explanation:
Factor the numerator and denominator and cancel the common factors.
Answer:
-8
Step-by-step explanation:
Make a reciprocal of -1/4. Then multiply 2 by -4.
The owner of Livingston Florist is assembling flower arrangements for Valentine's Day. This morning, she assembled 9 small arrangements and 3 large arrangements, which took her a total of 78 minutes. After lunch, she arranged 1 large arrangement, which took 8 minutes. How long does it take to assemble each type?
Answer:
24 minutes for 3 large arrangements
54 minutes for 9 small arrangements
6 minutes for each small arrangement
8 minutes for each large arrangement
Step-by-step explanation:
hope this helps!
Evaluate each using the values given
-6+4-y-z ; use y = -4,z =-1
Answer:
what is this equation I can't understand
PLEASE HELP I WILL MARK BRAINLIEST PLUS 50 POINTS
The graphs below shows some properties of regular polygons.
When compared with the independent variable, how many of the graphs represent a linear relationship?
0
1
2
3
Answer:
2 graphs represent a linear relationship
Step-by-step explanation:
2 out of your 3 graphs make a straight line if you were to draw a line throught the points
I need help ASP
What is the slope of the line that passes through the points (3, -5)(3,−5) and (1, -5) ?(1,−5)? Write your answer in simplest form.
Answer:
y=0x-5
Step-by-step explanation:
Answer:
y=0 x -5
Step-by-step explanation:
hope this helps you out
Tina deposited $4,800 in a savings account that earns annual simple interest. After 30 months the account had earned $384 in interest. If Tina made no other deposits or withdrawals during that time, what interest rate did the account earn? Round to the nearest tenth of a percent if necessary.
Answer:
hmmmuh
Step-by-step explanation:
let me seehe
tony has 5 apples. maggie takes 3 of his apples. how many does apples does tony have left
Answer: 2
Step-by-step explanation:
Tony has 5 apples, Maggie takes 3 of his apples.
You subtract 3 from 5.
5 - 3 = 2
Tony has 2 apples left.
given that q is directly proportional to (p-1)square and p is always positive find the value of p when a=20, if q=4 when p=10
Answer:
1 + 9√5
Step-by-step explanation:
q = (p-1)² * k
4 = (10-1)² * k
k = 4/81
q=20 20 = (p-1)² * 4/81
(p-1)² = 20 * 81/4 = 405
p-1 = 9√5
p = 1 + 9√5
Can someone pls. Answer this for me?
This is synthetic division polynomial.....also if possible can you do the long division as well.....? Thank you
0.6)7.8/4.
Step-by-step explanation:
Divide. And you got it!
Answer:
3x² + x + 1 remainder 4Step-by-step explanation:
9x³ + 6x² + 4x + 5 ÷ 3x + 1 = 3x² + x + 1 rem 4
9x³ + 3x²
3x² + 4x
3x² + x
3x + 5
3x + 1
4