Answers
14, 21
Step-by-step explanation:
Let the two consecutive multiples be 7n and 7(n+1).
Now, it is given that:
(7n)² + [7(n+1)]² = 637
Simplifying,
49n² + (7n+7)² = 637
49n² + 49n² + 2(7n)(7) + 49 = 637
(as (x+y)² = x² + y² + 2xy)
98n² + 98n + 49 = 637
98n² + 98n - 588 = 0
Dividing by 98 to further simplify,
n² + n - 6 = 0
Factorising, we get
n² + 3n - 2n - 6 = 0
n(n+3) - 2(n+3) = 0
(n+3)(n-2) = 0
Therefore we get n = -3 or n = +2.
Hence, we get the consecutive multiples as 14 and 21.
Feel free to ask if you didn't understand any part.
Hope this helps! :D
Related Questions
Pythagorean theorem please help
Answers
Answer:
x = 40
Step-by-step explanation:
a²+b²=c²
x²+9²=(x+1)²
x²+81=x²+2x+1
81=x²-x²+2x+1
81=2x+1
81-1=2x
80=2x
x=40
I bought my house for $575,000. Each year, it increases in value by 4%. How much will it be worth in 10 years?
Answers
Answer:
$805,000
I didn't provide a step-by-step explanation, but if I need to just comment onto my answer and I will provide one.
Hope this helps!
Let me know if you have anymore questions. I would be happy to help.
Can someone help me pls
Answers
Answer:
98 degrees
Step-by-step explanation:
278-82 over 2
196 divided by 2
This will lead to 98, therefor the angle is 98 degrees
hheellpp!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
2nd blank, -86
3rd blank, 86
the sum of 2 consecutive integers is three times their difference what is the larger number
Answers
Answer:
2
Step-by-step explanation:
Let the two consecutive integers be x , x+1
Sum : x + x +1 = 2x + 1
Difference: (x +1) - 1 = x + 1 - 1 = x
Sum = 3 times their difference
2x + 1 = 3 * x
2x + 1 = 3x
1 = 3x - 2x
1 = x
The numbers are 1 , 2
10/√149
PLZ HELP IVE BEEN STUCK ON THIS PROBLEM FOR AGES
!!!!!FRACTION FORM NEEDED, NOT DECIMAL FORM!!!!!!
Answers
/frac{10 }{ \sqrt{149} } = \frac{10}{12.20} = 0.8192
first of all find the square root of 149 and 10 is divided by 12.20which is the square root of 149 and you get your answer.The fraction form is 512/625
Answer:
Step-by-step explanation:
[tex]\sqrt{149}\text{ is irrational. Though it is customary to rationalize the denominator.}\\ \\ \left(\frac{10}{\sqrt{149}}\right)\frac{\sqrt{149}}{\sqrt{149}}\\ \\ \frac{10\sqrt{149}}{149}[/tex]
WORTH 24 POINTS PLS HELP
On the blueprints for a new house, a wall measures 3.5 inches. If the map scale is 1.25 inches to 2 feet, how long will the actual wall be?
Answers
Answer:A unit rate is a comparison of two measurements, one of which has a value of ... The unit scale on a map may read \begin{align*}\frac{1}{2}\ inch=100 ... A line 4 inches long would represent an actual line of 800 feet. Unit scales and proportions can be used to calculate actual distances from maps, drawings, ...
Step-by-step explanation:
Experts believe that 70% of adults in the United States believe it is more enjoyable to be married than single. An ABC News Poll in 2004 surveyed 1,501 randomly selected adults in the United States and asked if they believed it is more enjoyable to be married or single. In the survey, 1,126 people responded that it is more enjoyable to be married. Suppose another 1051 random selected U.S. adults were surveyed and asked if they believed it is more enjoyable to be married or single. The sample proportion who respond that it is more enjoyable to be married from this new sample would most likely be different from the same sample proportion from the old sample due to ___________________.
Answers
Answer:
Due to;
Sampling variability
Step-by-step explanation:
From the question, we have;
The percentage adults experts believe are convinced that it is more enjoyable to be married than single = 70%
The number of adults in the sample of the survey = 1,501 adults
The number of adults that responded that it is more enjoyable to be married than single = 1,126
According to the central limit theorem, the differences in the two samples and the small sizes of the samples compared to the population, the sample means is different from the population mean, therefore, the sample proportion that respond that it is more enjoyable to be married from the new sample will be different from the old sample due sampling variability because as the sample size is so small compared to the population, some samples can contain more of one category in the population than other samples leading to varying proportion
NEED HELP ASAP! TY IN ADVANCE <3 DO THE TABLE OF VALUES AS WELL!
Answers
Answer:
Domain {-2, 0, 1, 6}
Range {13, 5, 7, 77}
Step-by-step explanation:
table of values
Domain {-2, 0, 1, 6}
Range {13, 5, 7, 77}
Answer:
Step-by-step explanation:
[tex]y_{1}[/tex] = 2( - 2 )² + 5 = 2(4) + 5 = 13
[tex]y_{2}[/tex] = 2( 0 )² + 5 = 5
[tex]y_{3}[/tex] = 2( 1 )² + 5 = 7
[tex]y_{4}[/tex] = 2( 6 )² + 5 = 77
Range: { 5, 7, 13, 77 }
PLEASEEEE SOMEONE HELP ME WITH THIS ITS DUE IN A COUPLE HOURS!!!!! FOR trigonometry
Answers
Answer:
I think the last one is the answer
please answer 1-8 godbless
Answers
Answer:
1. A
2. D
3. B
4. B
5-6. B
7. D
8. D
Mary, Josephine, Quinn, Taylor, Max, and Taylor went out to lunch and the total bill was $72. Mary puts in $20 , and Josephine puts in $12. The rest of the group splits the bill equally. Which equation and solution represent the amount a that each of the remaining people pay?
Answers
Answer:
i. The equation required = [tex]\frac{remaining amount of the bill}{remaining number of people}[/tex]
ii. Remaining people would pay $10 each.
Step-by-step explanation:
Total number of people involved = 6
Total bill of their lunch = $72
Mary and Josephine paid = $20 + $12
= $32
The remaining bill to be paid = $72 - $32
= $40
The rest of the group = 4
Splitting the remaining bill equally,
the equation required = [tex]\frac{remaining amount of the bill}{remaining number of people}[/tex]
= ($40) ÷ 4
= $[tex]\frac{40}{4}[/tex]
= $10
The amount that each of the remaining people would pay is $10.
f varies inversely as the square of d. When d=2, f = 6. Find d when f is 1.5
Answers
Answer:
d = 4
Step-by-step explanation:
Given f varies inversely as d² then the equation relating them is
f = [tex]\frac{k}{d^2}[/tex] ← k is the constant of variation
To find k use the condition when d = 2, f = 6 , then
6 = [tex]\frac{k}{2^2}[/tex] = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )
24 = k
f = [tex]\frac{24}{d^2}[/tex] ← equation of variation
When f = 1.5 , then
1.5 = [tex]\frac{24}{d^2}[/tex] ( multiply both sides by d² )
1.5d² = 24 ( divide both sides by 1.5 )
d² = 16 ( take the square root of both sides )
d = [tex]\sqrt{16}[/tex] = 4
Bestbuy is having a sale, 45% off all merchandise! You see a laptop you like and you only have $300. The laptop's regular price is $499. Can you afford it after the discount?
Answers
Answer:
Yes you could afford it
Step-by-step explanation:
Answer
yes.
Step-by-step explanation:
45% of the 500 dollar price comes down to $225, and with your $300, you can afford it.
simplify 6bab+ 12
bc
Answers
Pls if you can answer it :)
Answers
3x17 = 51
2(51)-8
51 x 2
102-8=94
hey could somebody help me please :)
Answers
Answer:
Cut them in smaller shapes then find area
Step-by-step explanation:
Which expression is equivalent to 5 (w + 4) when w = 9?
5 (9)
9 (5)
5 (9) + 4
5 (9) + 20
Answers
Answer:
I think it's 5(9)+20
Step-by-step explanation:
5(9+4) can be expanded to get 5(9)+5(4). And 5(4)=20
Answer:
The answer is D
Step-by-step explanation:
Someone help me with what p and q equals?
Answers
It’s a parallelogram so the side opposite are the same.
6 = q - 3
Subtract 3 and add it to 6 and you get 9
9=q
A rectangle has a width that is 5 feet less than the length. The area of the rectangle is
126 square feet. Find the width of the rectangle.
Answers
Answer:
630
Step-by-step explanation:
Express the division expression as a fraction. 4 ÷ 3
Answers
Answer:
4/5 or 1 1/3
Step-by-step explanation:
4 over 5, or 1 and then 1 over 3
A pack of 8 batteries costs £4.99.
How much does each battery cost?
Give your answer to the nearest penny.
Answers
Answer:
0.62
Step-by-step explanation:
4.99/8=0.62
2359 million in standard form
Answers
Answer:
2,359,000,000
Step-by-step explanation:
Answer:
2,359,000,000 would be the standard form
Step-by-step explanation:
Find the gradient of the line segment between the points (4,3) and (5,6
Answers
Answer:
3
Step-by-step explanation:
us the formula
y1 - y2 divided by x1 - x2
=gradient
6 - 3 divided by 5 - 4 = gradient
3 = gradient
hope this helps
please mark it brainliest
Please help 20 points to who ever can
Answers
Answer:
how is your mom doing tell her last night was crazy :D
Step-by-step explanation:
Answer:
82 62 163 and 300 are correct
Step-by-step explanation:
In 6 months, the membership of the fitness company went from 3500 to 4200. What was the percent of increase in the membership
Answers
Answer:
20% increased
Step-by-step explanation:
Solve these equations.
|x+8|=x+8
PLS, I NEED HELP NOW!!!
Answers
Answer:
x = -8
Step-by-step explanation:
someone pls help! mathematics.
bot answers/nonsense = reported
----------------
The formula for any geometric sequence is an = a1 · rn - 1 , where an represents the value of the n th term, a1 represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the geometric sequence 4, 8, 16, 32, ...?
an = 4 · ( ) n - 1
an = 2 · 4 n - 1
an = 32 · 2 n - 1
an = 4 · 2 n - 1
Answers
Answer:
a(n) = 4*(2)^(n - 1)
Step-by-step explanation:
The correct version of this formula is a(n) = a(1)*r^(n - 1). Must use the " ^ " symbol to indicate exponentiation, and enclose the "n - 1" inside parentheses.
Here, if 4, 8, 16, 32, ..., then a(1) = 4 and r = 2 (e. g., 16/8 = 2, 32/2 = 16, and so on).
Then the correct formula for this geometric sequence is
a(n) = 4*(2)^(n - 1), where use of the parentheses as indicated is mandatory.
Answer:
a(n) = 4*(2)^(n - 1)
Step-by-step explanation:
The correct version of this formula is a(n) = a(1)*r^(n - 1). Must use the " ^ " symbol to indicate exponentiation, and enclose the "n - 1" inside parentheses.
Here, if 4, 8, 16, 32, ..., then a(1) = 4 and r = 2 (e. g., 16/8 = 2, 32/2 = 16, and so on).
Then the correct formula for this geometric sequence is
a(n) = 4*(2)^(n - 1), where use of the parentheses as indicated is mandatory.
What is the green dashed line called?
Answers
Answer:
axis of symetry
Step-by-step explanation:
Beast_Building on yt
What is the area of this composite figure??
Answers
Answer=53
Step-by-step explanation: