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Marrrta [24]
3 years ago
13

Find the number of pairs (a,b) of integers such that a+2/a+5=b/3

Mathematics
1 answer:
Viktor [21]3 years ago
3 0

Answer:

  6

Step-by-step explanation:

The expression can be rearranged to ...

  b = 3 -9/(a+5)

In order for b to be an integer, (a+5) must be an integer divisor of 9. There are exactly 6 of those: ±1, ±3, ±9.

The attached table shows the values (a, b) = (x₁, f(x₁)).

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figure a is a scale image of figure b the scale image that maps figure a onto figure b is 1:7 1/4 enter the value of x
skad [1K]

Answer: x=21.75

Step-by-step explanation:

You need to convert from mixed number to decimal number.

In order to do this, you can follow the steps shown below:

1. You must divide the numerator of the fraction by the denominator of the fraction.

2. Now you must add the quotient obtained to the Whole number part.

Then, you get:

7\frac{1}{4}=7+0.25=7.25

Then, the scale image that maps "Figure A" onto "Figure B" is:

1:7.25

Finally, in order to find the value of "x", you need to multiply the given length of the corresponding side of "Figure A" by 7.25.

Therefore, the result is:

x=(3)(7.25)\\\\x=21.75

3 0
3 years ago
mya has ballet lessons every sixth day and swimming every fourth day. today she has both lessons. in how many days will mya have
ra1l [238]
To determine when Mya will have both lessons again on the same day, you will list the multiples of each number of days because to show every 4 or 6 days, you will count by 4's and 6's.

When you get to the first number that is the same, that will be the next time she will have both lessons again.  This is called the least common multiple (LCM).

4, 8, 12, 16, 20, ...
6, 12, 18, 24

In 12 days she will have both lessons again.
5 0
3 years ago
What is 9+-234*37^2-38/483
STatiana [176]
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Ronch [10]
11/12

simplificado
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nekit [7.7K]
:  <span> you have to solve for y. So if you do that you get y= -2/3x + 6

graph according to y=mx + b

b is y intercept, so the graph crosses the point (0, 6)

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Then go up 2 and left 3 from (0,6) as many times as you need to fill the graph.

Put arrows at each end of your line to show that it's a line. </span>
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3 years ago
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