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xenn [34]
2 years ago
14

The counting number ABAB is a multiple of 36. If different letters represent different digits, what is the greatest value ABAB c

an have? PLS HELP ONLY 10 minutes
Mathematics
1 answer:
almond37 [142]2 years ago
6 0

The greatest value ABAB can have is 7272.

The given parameters:

  • <em>Counting number ABAB = multiple of 36</em>

The counting number can be expanded as follows;

ABAB = 100 x AB  + AB

          = AB00 + AB

          = AB(100 + 1)

          = AB(101)

101 is a prime factor of AB and has only two factors.

The prime factor of 101 = 1 x 2

Since 101 is prime, the counting number AB must 2-digits multiples of 36.

The greatest value ABAB can have is calculated as follows;

ABAB = (36 x 2)(36 x 2)

ABAB = 7272

Thus, the greatest value ABAB can have is 7272.

Learn more about prime factors here:  brainly.com/question/24612438

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Factoring expressions: 17x-34xy
Katarina [22]

17x(1-2y)

17x-34xy

because both expressions have a x, it would be easier to factor out the x first. but because 17 is a factor of 34 you can simply divide 34 by 17 and get 2. so you put it together to this,

17x(1-2y)

Because, 17x times 1 is 17x but 17x times -2y would be -32xy.

8 0
3 years ago
Read 2 more answers
A sandwich shop is ordering apples and grapes to make chicken salad.Apples cost $2.19 per pound and grapes cost $2.60 per pound.
andrew11 [14]

Answer:

Grapes=19.51

Step-by-step explanation:

Apples=$2.19 per pound

Grapes=$2.60 per pound

Apples+Grapes=20 pounds

A+G=20

A=20-G

Equation is

PaA+PgG=35.80

2.19A+2.60G=35.80

2.19(20-G)+2.60G=35.80

43.8-2.19G+2.60G=35.80

43.8-0.41G=35.80

-0.41G=35.80-43.8

-0.41G=-8

Divide both sides by 0.41

G=19.51 pounds

Recall

A=20-G

A=20-19.51

A=0.49 pounds

8 0
3 years ago
If miley has 200 pencils and Katie has 300 more pencils then how many more does Katie have then miley
Yakvenalex [24]

Answer: 300

Step-by-step explanation: 300+200=500

then 500-200=300

3 0
3 years ago
Read 2 more answers
The slope of the line below is 1.5. Write the equation of the line in point-slope form, using the coordinates of the labeled poi
Nataly [62]
Point slope form equation: y - y1 = m(x - x1)
in this case

y - 3 = 1.5(x - 4)

Answer
Point slope form equation:
y - 3 = 1.5(x - 4)
5 0
3 years ago
A collection of 19 coins consisting of nickels and dimes is worth $1.35. How many dimes are there
pshichka [43]

Answer:

There are 8 dimes there.

Step-by-step explanation:

This question is solved used a system of equations.

I am going to say that:

x is the number of nickels.

y is the number of dimes.

19 coins

This means that x + y = 19.

A nickel is worth $0.05. A dime is worth $0.1. The total of these coins is $1.35. So

0.05x + 0.1y = 1.35

How many dimes are there?

We have to find y.

From the first equation: x = 19 - y.

Replacing in the second:

0.05(19 - y) + 0.1y = 1.35

0.95 - 0.05y + 0.1y = 1.35

0.05y = 0.4

y = 0.4/0.05

y = 8

There are 8 dimes there.

3 0
3 years ago
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