1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DaniilM [7]
3 years ago
9

Lindsay is 5 55 years younger than Mark. Seven years ago, the sum of their ages was 31 3131. Let l ll be Lindsay's age and let m

mm be Mark's age. Which system of equations represents this situation?
Mathematics
1 answer:
aev [14]3 years ago
7 0

Answer:

The system of equations that represents this situation is

M - L = 55

L + M = 45

Step-by-step explanation:

Let age of Lindsay is  = L

Age of mark = M

Given that

Lindsay is  55 years younger than Mark.

⇒ L = M - 55

⇒ M - L = 55 ------ (1)

Seven years ago, the sum of their ages was 31.

⇒ ( L - 7 ) + (M - 7) = 31

⇒ L + M = 45 ------- (2)

Therefore the system of equations that represents this situation is

M - L = 55

L + M = 45

You might be interested in
Plot the points (-6, 8) and (0, 8) on the
insens350 [35]

Answer: The answer is in the attachment below!


the first one is -6, 8 second is 0,8!

7 0
2 years ago
What number has factors of 2 and 3 and 12 and 18 as multiples?
Firlakuza [10]
6 is the answer
 
hope this help
8 0
3 years ago
Read 2 more answers
You cut a sheet of paper along its diagonal, as shown. What is the length of the diagonal? Round your answer to the nearest tent
Varvara68 [4.7K]

Answer:

14.4

Step-by-step explanation:

Use the Pythagorean Theorem: a^2 + b^2 = c^2

5 0
3 years ago
Find a power series representation of e^x sin(x)
liberstina [14]
The Taylor series is defined by:
f(x) = \sum \frac{f^n (a)}{n!} (x-a)^n

Let a = 0.
Then its just a matter of finding derivatives and determining how many terms is needed for the series.

Derivatives can be found using product rule:
f^n (x) = e^x g^{n-1} (x) + e^x g^n (x)  \\ g^0 (x) = sin x

Do this successively to n = 6.
f^1 (x) = e^x (sinx +cos x) \\ f^2 (x) = e^x (2cos x)  \\ f^3 (x) = e^x(2cos x - 2sin x)  \\ f^4 (x) = e^x (-4 sin x)  \\ f^5 (x) = e^x(-4sinx -4cos x) \\ f^6(x) = e^x(-8cos x)

Plug in x=0 and sub into taylor series:
e^x  sin x = x+x^2 +\frac{x^3}{3} -\frac{x^5}{30}-\frac{x^6}{90}...

If more terms are needed simply continue the recursive derivative formula and add to taylor series.
6 0
3 years ago
What is the factored form of the expression? 16. d 2 + 18d + 81 (1 point) (d + 9)(d – 9) (d + 9) 2 (d – 81)(d – 1) (d – 9) 2
jarptica [38.1K]
Since a and c in this equation are perfect squares, you know that the value of the factored form is going to be the (sqrt of a*d added to the sqrt of 81)^2, making(d+9)^2
3 0
3 years ago
Other questions:
  • Write an equation in point-slope form for the line through the point (10, -9) with the given slope -2
    11·1 answer
  • Solve each of the following quadratic equations (x+7)(x+1)=0
    7·1 answer
  • Determine whether each number is rational or irrational
    11·1 answer
  • you spend 10 mind doing homework then u spend 2 hours watching television as a fraction in simplest form
    8·1 answer
  • Simpfly by dividing [-5/8] divided by [-3/4]
    7·1 answer
  • Paola subtracts 9,405 from 11,038 Should Paola's answer be greater or les than 2,000? explain
    5·1 answer
  • Tanida wants to buy a new circular rug for her rectangular bedroom. The area of her room is 120 ft. The radius of the rug is 5ft
    5·1 answer
  • Graph the system by using technology. Which is the x-coordinate of the solution?
    6·1 answer
  • On Monday, Kevin spent 4/5 of an hour working on his homework, on Tuesday he spent 2/3 of an hour on his homework and on Wednesd
    14·1 answer
  • Hari's weekly allowance varies depending on the number of chores he does. He received $20 in allowance
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!