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
OLEGan [10]
2 years ago
10

If $a$, $b$, $c$, and $d$ are replaced by four distinct digits from $1$ to $9$, inclusive, then what's the largest possible valu

e of the difference $a.b - c.d$ ?
Mathematics
1 answer:
Alexxx [7]2 years ago
7 0

Answer:

70

Step-by-step explanation:

  • for the value of difference to be largest, the minuend should be maximum(most possibly) and the subtrahend should be minimum

[in A-B=X, A is minuend and B is subtrahend ]

  • so, $a.b should be maximum. as there is a condition that 4 digits should be distinct, the product will be maximum if we choose 2 maximum valued numbers from the given numbers. so, one of them should be 9 and the other should be 8.

therefore, $a.b=9*8=72

  • as mentioned above, c.d$ should be minimum. this will be possible only when we choose  2 minimum valued numbers from the given numbers. so, one of them should be 1 and the other should be 2.

therefore, c.d$ = 1*2 = 2

  • hence, the difference = 72-2 = 70
  • thus,  the largest possible value of the difference $a.b - c.d$ = 70
You might be interested in
What is the order of operation for 2(9 + 7)?
shepuryov [24]

the answer is 32 because you add 9 plus 7 then you multiply tha th # by 2

6 0
3 years ago
Read 2 more answers
What value of x makes this inequality true? <br> x + 16 &lt; 43
lianna [129]

Answer:

x < 27

Step-by-step explanation:

x + 16 < 43

move the constant to the right-hand side and change its sign

x < 43 - 16

subtract the numbers

x < 27

~~~~~~~~~~~~~~~~~~

X < 27

alternative form

X ∈ ( - ∞ , 27 ) , { x | x < 27 }

5 0
2 years ago
2 qurstions 100 points
Roman55 [17]

Answer:

1). 1.25 / 250 = .005M

.005 = 1 liter

2). (20)(.5) = 10M

have a good day, and be safe

∵∴∵∴∵∴∵∴∵

⊕ΘΞΠΤ⊕

∵∴∵∴∵∴∵∴∵

6 0
3 years ago
Which of the quadratic functions has the widest graph. Please help???
Alex73 [517]
The less coefficient in front of x^2, the wider graph
the smallest coefficient is 1/5 , so the widest graph is  y=(1/5)x²
5 0
3 years ago
Please help me with this math
victus00 [196]

Answer:

5

Step-by-step explanation:

These two angles are equal to each other

set the formulas equal to each other and solve

5 0
3 years ago
Other questions:
  • Mr gomez gave his class a test on 20 spelling words. Only one of the following percents is possible as a percent of the 20 words
    8·2 answers
  • What does 6/1 equal in its simplest form
    11·1 answer
  • The volume of a cone is approximately 423.9 cubic inches of the height is 5 what is the radius of the base
    15·1 answer
  • What is the Y intercept of the line graphed on the grid
    10·1 answer
  • Given the Functions<br>f(x)=-2x+8<br>g(x)=6x-10<br>Which of the following is true.<br>​
    12·1 answer
  • To the nearest tenth, what is the value of x?<br><br> - 35.3<br><br> - 39.2<br><br> - 54.7
    13·1 answer
  • Which table shows a linear relationship
    7·2 answers
  • Please help what is 80 less than x?
    7·2 answers
  • A rectangle is divided into five triangles as shown. Noa h sa ys that the area of triangle A ls half the area of triangle B. Do
    7·2 answers
  • Marcela finished the race in 75.8 minutes. Rebecca finished the race in 8.1/2 minutes faster then Marcela. How many minutes did
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!