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
avanturin [10]
1 year ago
7

Lucas is keeping track of the total number of miles he runs each week. During the second week, he ran four more than twice as ma

ny miles as he did during the first week.
(A) If “m” represents the number of miles that he ran during the first week, write an equation in terms of “m” for the number of miles he ran during the second week.

(B) The total number of miles that Lucas ran during the first two weeks is equal or eight less than four time the number of miles he ran during the first week. Determine the number of miles Lucas ran in the first week.
Mathematics
1 answer:
Novosadov [1.4K]1 year ago
4 0

(A) The equation represents the number of miles he ran during the second week is (2m + 4) miles.

(B) The total number of miles that Lucas ran during the first two weeks is m + (2m + 4) ≤ 4m ⇒ m ≥ 4

<h3>What is an equation?</h3>

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, Lucas is keeping track of the total number of miles he runs each week.

In the first week, he ran m miles, and in the second week, he ran 4 miles more than twice the miles he ran in the first week.

∴ The equation in terms of m represents the number of miles he ran during the second week is (2m + 4) miles.

Also given, The total number of miles that Lucas ran during the first two weeks is equal to or eight less than four times the number of miles he ran during the first week which is,

m + (2m + 4) ≤ 4m.

3m - 4m ≤ - 4.

- m ≤ - 4.

m ≥ 4.  (think of moving the terms to other sides to make m positive).

learn more about inequalities here :

brainly.com/question/28823603

#SPJ1

You might be interested in
Solve the following proportion by cross multiplying:<br> ( x - 3 ) / 4 = ( 2x + 2 ) / 6
vichka [17]

Answer:

- 13

Step-by-step explanation:

Solving

\frac{(x - 3)}{4} =  \frac{(2x + 2)}{6}   \\  \\ cross \: multiplying \\ 6 \times (x - 3) = 4 \times (2x + 2) \\ 6x - 18 = 8x + 8 \\ 6x - 8x = 8 + 18 \\  - 2x = 26 \\ dividing \: bothsides \: by \:  - 2 \\  \frac{ - 2x}{ - 2}  =  \frac{26}{ - 2}  \\ x =  - 13

6 0
2 years ago
Read 2 more answers
3ln(2x) + 7 = 15. how do I do this<br>​
andrey2020 [161]

Answer:

Step-by-step explanation:

3 ln(2x) + 7 = 15            Subtract 7 from both sides

3 ln(2x)  = 15 - 7            Combine

3 ln(2x) = 8                    Divide by 3

  ln(2x) = 8/3                Do the division. Take the antilog of both sides.

e^ln(2x) = e^(8/3)

2x = 14.392                   Divide by 2

x = 14.392

x = 7. 196

 

5 0
3 years ago
Loans can come with different repayment options. Which option will always be most logical?
PtichkaEL [24]

Answer:

Best repayment option: income-driven repayment.

Step-by-step explanation:

The government offers four income-driven repayment plans: income-based repayment, income-contingent repayment, Pay As You Earn (PAYE) and Revised Pay as You Earn (REPAYE). These options are best if your income is too low to afford the standard payment.

Hope this helps:) Happy New Year!

7 0
2 years ago
I have to identify the slop and the y intercept.<br> 3x-y=5 I have to find M and B
Maru [420]

Answer:

Slope = 3

y-intercept=(0,-5)

Step-by-step explanation:

Use the slope-intercept form y = m x + b  to find the slope  m  and y-intercept  b .

3 0
3 years ago
Read 2 more answers
Which number line represents thedata
butalik [34]
Did you forget to attach an image
5 0
2 years ago
Other questions:
  • Calculate the loss on selling 50 shares of stock originally bought at 133/4 and sold at 12.
    5·2 answers
  • What is the value of x?
    15·2 answers
  • The nieces is it a ladder to clean the outside of her second-story windows the lashes is it is 24 feet long and she puts the bas
    11·1 answer
  • Find the value of x.
    15·2 answers
  • If your starting salary were $40,000 and you received a 3% increase at the end of every year for 15 years, what will be the amou
    5·1 answer
  • Solve X^2 + 5x + 6 = 0
    10·2 answers
  • What are the next two numbers in this pattern?<br> 3, 6, 12, 24, . . .
    6·1 answer
  • Which represents the solution to this equation?<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7Bx%20%3D%7D%20121" id="TexFormu
    10·1 answer
  • Fgddddddddddddddddddddddddfdgb
    5·1 answer
  • This an easy 5 points I know this lol 1+1
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!