Answer: 8
Step-by-step explanation:
The difference of the squares of two positive consecutive even integers is 84. Find the integers.
Answer:
The two integers are 20 and 22.
Step-by-step explanation:
Let x be the first integer.
[tex](x+2)^{2}-x^{2} = 84\\x^{2} +4x+4-x^{2} = 84\\4x = 80\\x = 20[/tex]
Applying the difference of squares, and solving the equation, it is found that the numbers are 20 and 22.
----------------------
The two consecutive even integers are: n and n + 2.The difference of the squares is given by:[tex]D_s = (n+2)^2 - n^2[/tex]
Expanding the difference:
[tex]D_s = n^2 + 4n + 4 - n^2[/tex]
[tex]D_s = 4n + 4[/tex]
----------------------
The difference is 84, thus:
[tex]D_s = 84[/tex]
Now, we solve for n.
[tex]4n + 4 = 84[/tex]
[tex]4n = 80[/tex]
[tex]n = \frac{80}{4}[/tex]
[tex]n = 20[/tex]
----------------------
Thus, the numbers are: [tex]n = 20[/tex] and [tex]n + 2 = 20 + 2 = 22[/tex]
A similar problem is given at https://brainly.com/question/5453470
I need help I don’t understand
Answer:
x=50
Step-by-step explanation:
A= 30+2x
B= x
Supplementary angles are angles that always add up to 180 degrees.
therefore, A + B=180 degrees
30 + 2x + x = 180: Now we solve
30 + 3x =180
subtract 30 from both sides
3x=150
divide by 3
3x/3 = 150/3
x= 50
A math teacher graded 45 problems in
3
5
of an hour. At that rate, how many problems can she grade in 1 hour?
Be my best frienddd Ill make BrainLess!
Which of the following organic compounds is the main source of energy for living things?
a.
carbohydrates
c.
nucleic acids
b.
lipids
d.
proteins
Answer:
A
Step-by-step explanation:
HOPE THIS HELPS :)
There are 4 green gumballs, 3 blue gumballs, and 6 red gumballs. What is the probability of getting a red gumball
ANSWER NEEDED ASAP
Answer:
6/13
Step-by-step explanation:
b/c it is 6 wanted amount out of 13 total amount
I need help! Thank you :)
Answer:
parallel
Step-by-step explanation:
Answer:
Parallel
Step-by-step explanation:
If you graph these on a graph the beginning part is the same however the second part (the 2 and 30) are different which would just show how far to space the lines because those are the y-intercept and the fraction part is the slope
Please help so I can finally finish my hw
Answer:
That's confusing
Step-by-step explanation:
Answer:
I am very sorry I don’t know how to do this sorry maybe next time
Step-by-step explanation:
Complete the statement.
Two integers that have an absolute value of 10 are...and...
I will give a brainlist
Answer:
10 and -10
Step-by-step explanation:
Absolute value is the distance of a number from 0. Absolute value must be positive because you can not a have a negative distance from 0. The two numbers that have a distance of 10 from 0 on the number line are 10 and -10.
Answer:
The symbol for absolute value is two vertical lines. Since opposites are the same distance from the origin, they have the same absolute value. For example, the absolute value of "negative 10" is ten, and the absolute value of "positive 10" is also 10.
Step-by-step explanation:
In 91.72 which digit is in the tens place?
Answer:
9
ten's go for the number 10
91=9-1 9 in 90 so its 9.
so therefore your answer is 9
Step-by-step explanation:
find the number of words with or without meaning , which can be made by using all the letters of word ganga
Answer:
There are total 5 letters , of which A occur two times and G occur 2 times
Therefore , The number of permutations starting with A is 4! i.e 24
Thus , 25th word will be start from G i.e GGAAN
By rearranging according to the dictionary , we get
The 26th word will be GGANA
Hence , the 26th word is GGANA
Answer:
30
Step-by-step explanation
total number of letters in the word, n = 5
out of which G and A repeats 2 times each
p1 = p2 = 2
according to the equation of number of permutations,
= [tex]\frac{n!}{p_{1}! p_{2}! }[/tex]
total number of words = 5!/ (2! x 2!)
= 30
Answer this for brainest :)
Answer:
-11/36
Step-by-step explanation:
Answer:
-11/36
Step-by-step explanation:
(-1/3)^2 is equal to 1/9
5/6(-1/2) is equal to -5/12
Adding them, we get 1/9 - 5/12
With a common denominator, this is 4/36 - 15/36, which gives us an answer of -11/36
I would appreciate brainliest, have an amazing day!
What is the nth term rule of the quadratic sequence below?
12
,
17
,
24
,
33
,
44
,
57
,
72
,
.
.
.
Answer:
Step-by-step explanation:
9514 1404 393
Answer:
a[n] = n² +2n +9
Step-by-step explanation:
First differences are ...
17-12 = 5; 24-17 = 7; 33-24 = 9 . . . . . . define d1=5
So, second differences are ...
7-5 = 2; 9-7 = 2 . . . . . . . define d2=2
The coefficient of the n² term is half the second difference (=d2/2). The 0-th term will be smaller than the first term by the difference between the first first difference and the second difference (d1-d2):
a0 = a1 -(d1 -d2) = 12 -5 +2 = 9
So, the quadratic rule will be ...
a[n] = n² +9 +kn
for some value of k.
We can find k using the first term of the sequence.
a[1] = 1² +9 +k·1 = 12
k = 12 -10 = 2
Then the rule is ...
a[n] = n² +2n +9
What number when multiplied by 113 has a product of 1
Answer:
3/4
Step-by-step explanation:
Answer:
1/13
Step-by-step explanation:
copied of that person
gil borrows $8000 for college expenses. he will pay a total of $2280 back in interest after 6 years. what was his interest rate
Answer:
R = 41.8129%/year
Equation:
r = (1/t)(A/P - 1)
Calculation:
Solving our equation:
r = (1/6)((8000/2280) - 1) = 0.41812865
r = 0.41812865
Converting r decimal to R a percentage
R = 0.41812865 * 100 = 41.8129%/year
The interest rate required to get a total amount, principal plus interest, of $8,000.00 from simple interest on a principal of $2,280.00 over 6 years is 41.8129% per year.
Step-by-step explanation:
Answer:
I believe it is 4.75 %
Step-by-step explanation:
2,280 × 100 = 228,000
228,000 / 8,000 = 28.5
28.5/6 = 4.75 %
Change 5x+1=4y+7 to slope intercept form ( y=mx+b)
Answer:
Step-by-step explanation:
5x + 1 = 4y + 7
5x - 4y = 7 - 1
-4y = -5x + 6
-4y/-4 = -5x/-4 + 6/-4
y = 5/4x - 6/4
y = 5/4x - 3/2
Answer:
Work shown below!
Step-by-step explanation:
5x + 1 = 4y + 7 to y = mx + b
5x + 1 = 4y + 7
Subtract 7 from both sides;
5x - 6 = 4y OR 4y = 5x - 6
4y = 5x - 6
Divide both sides by 4;
[tex]y=\frac{5}{4}x-\frac{6}{4} \\\\y=\frac{5}{4}x- \frac{3}{2}[/tex]
The midpoint of AB is M(-6,1). If the coordinates of A are (-5,7), what are the
coordinates of B?
Answer:(7,-3)
Step-by-step explanation:
If y = 45 when x = 180, what is the y when x= 90
Answer:
24.5
Step-by-step explanation:
Since 180 is double 90 divide 45 by 2 and you'll get 24.5
What is the value of x?
-5x – 2 = -13
Answer:
2.20
Step-by-step explanation:
So add +2 both sides that cancels 2 and that makes it -11.00 now divide it by -5 and x is by itself
So when you divide it x=2.20
Hope that helps
Is the shape below a rhombus, rectangle, or both? Explain.
Answer: both
Step-by-step explanation:
rhombuses can be squares but not all of them, this one is, and then a square is a rectangle
Answer: It doesn’t really look like a look like a rectangle or a rhombus. It’s more like a square because of the even number of degrees.
Step-by-step explanation:
Find the measure of the missing angle.
Answer:
i think 32
Step-by-step explanation:
subtract 90 and 58 from 180
PLEASE HELP!!
Enter numbers into the table so that the paired values are in a proportional relationship.
x 2 6 8 (?) 20
y (?) 3 4 6 10
fill the (?) in.
Answer: x is, 2 6 8 10 20-- i think
Step-by-step explanation: y is, 2 3 4 6 10
Answer:
ya he's rite
Step-by-step explanation:
FREE 100 POINT GIVEAWAY PLS READ DOWN BELOW TO ENTER(YOU CAN ENTER IN THE COMMENTS TOO)
I'm going to be doing two random question (you can only answer each once) and ill post the giveaway so you can get your points- if the answer box is full then u can answer in the comment section too this time you must get both question right;)
1. How many ounces are in a basic water bottle
2. Thinking of a letter H-N
Answer:
I think like 16.9 fluid ounces
K
Step-by-step explanation:
Answer:
<3
Step-by-step explanation:
198.8 grams ≈ ounces
Answer:
7.0124636 ounces
Step-by-step explanation:
Im really sorry if this is wrong but I think it's right
is 7.2 a rational number
Step-by-step explanation:
A decimal is a number that represents a fractional part of a whole. For example, the decimal 0.25 represents 25/100. Numbers with decimals are not integers because an integer is defined as a whole number with no fractional part.
Half of a number x is equal to 9 less than 2 times that same number. What is the
number
Answer:
[tex]x = 6[/tex]
Step-by-step explanation:
Analyzing the statement one after the other:
Half a number x: [tex]\frac{1}{2}x[/tex]
Equals to: [tex]=[/tex]
9 less than twice that same number: [tex]2x - 9[/tex]
Bring them together, we have:
[tex]\frac{1}{2}x = 2x-9[/tex]
Collect Like Terms
[tex]\frac{1}{2}x - 2x= -9[/tex]
[tex]\frac{x}{2} - 2x= -9[/tex]
[tex]\frac{x - 4x}{2} = -9[/tex]
[tex]\frac{ - 3x}{2} = -9[/tex]
Multiply through by 2
[tex]2 * \frac{ - 3x}{2} = -9 * 2[/tex]
[tex]- 3x = -18[/tex]
Divide through by -3
[tex]x = 6[/tex]
Guys quickly what is 1% of 75?
Answer:
the answer is 0.75
...................................
find the value of b (please help quick)
Answer:
B=6
Step-by-step explanation:
It is very simple.
9. What four consecutive integers have a sum of -34?
Given,
The four numbers are consecutive
The numbers are
x
x + 1
x + 2
x + 3
Sum = -34
x + (x + 1) + (x + 2) + (x + 3) = -34
x + x + 1 + x + 2 + x + 3 = -34
(x + x + x) + (1 + 2 + 3) = -34
3x + 6 = -34
3x = -34 - 6
3x = -40
x = -40/3
Find the missing part of the triangle.
SOMEONE JUST GIVE ME THE ANSWER
Answer: I thought I saw options in the corner could you give me the options? And then I'll give my answer in the comment box;) no worries we'll figure it out!! :)
Step-by-step explanation:
Answer:
Area is 68x^2 the missing number by 3x is 5 and the missing number at the bottom is 4.
Step-by-step explanation: