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Inessa05 [86]
3 years ago
8

If a+2b/a-b =2/3 then b/a=?​

Mathematics
2 answers:
Dominik [7]3 years ago
6 0

Answer:

\frac{b}{a} = - \frac{1}{8}

Step-by-step explanation:

Given

\frac{a+2b}{a-b} = \frac{2}{3} ( cross- multiply )

2(a - b) = 3(a + 2b) ← distribute parenthesis on both sides )

2a - 2b = 3a + 6b ( subtract 3a from both sides )

- a - 2b = 6b ( add 2b to both sides )

- a = 8b ( divide both sides by 8 )

- \frac{1}{8} a = b ( divide both sides by a )

- \frac{1}{8} = \frac{b}{a}

gizmo_the_mogwai [7]3 years ago
6 0

Answer:

-1/8

Step-by-step explanation:

a+2b=2

a-b=3

Solve Simultaneous equations by Formula 1 - Formula 2

2b - (-b) = 2-3

3b = -1

b= -1/3

b= -1/3

so: a - (-1/3) = 3

a = 8/3

b/a=

(8/3) / (-1/3)

= (8/3) * (3/-1)

simplify

=-1/8

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Diego’s family car holds 18 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when the remain
Ne4ueva [31]

Answer:

Diego's family cannot drive the car for 28 days without the warning light turning on.

Step-by-step explanation:

Since the car uses 0.6 gallons per day, and Diego's family has been driving the car for 28 days, that means the total amount of fuel used is 0.6*28=16.8 gallons. To determine whether the warning light will be on or not, subtract the total amount of fuel - 18 gallons - by the amount of fuel already used. If the difference is greater than 1.5, that means the warning light will not come on. If the difference is less than or equal to 1.5, that means the warning light will come on. 18 - 16.8 = 1.2, since 1.2 gallons is less than 1.5 gallons, that means Diego's family cannot drive the car for 28 days without the warning light turning on.

6 0
3 years ago
Read 2 more answers
Solve by the substitution method <br> 5x+7y=10<br> -9x+y=50
Sunny_sXe [5.5K]

Answer:

(- 5, 5 )

Step-by-step explanation:

5x + 7y = 10 → (1)

- 9x + y = 50 ( add 9x to both sides )

y = 9x + 50 → (2)

substitute y = 9x + 50 into (1)

5x + 7(9x + 50) = 10

5x + 63x + 350 = 10 ( subtract 350 from both sides )

68x = - 340 ( divide both sides by 68 )

x = - 5

substitute x = - 5 into (2)

y = 9(- 5) + 50 = - 45 + 50 = 5

solution is (- 5, 5 )

6 0
2 years ago
Please help. I’ll mark you as brainliest if correct!
ser-zykov [4K]

Answer:

Step-by-step explanation:

28   -22   38    30    -4

-26    -8   -34    20    -16

-6    -34   -24   -20    24

38   -32   36   -34    32

8 0
3 years ago
Which answer describes the type of sequence? 16, 12, 32, 92, ... neither arithmetic nor geometric geometric arithmetic
Elanso [62]

Answer:

neither arithmetic nor geometric

Step-by-step explanation:

16, 12, 32, 92, ...

For arithmetic , there should be a common difference

16, 12, 32, 92, ...

Lets find the difference of two consecutive terms

12-16 = -4

32 - 12 = 20

92 - 32 = 60

Common difference is not same so it is not arithmetic

For Geometric , there should be a common ratio

16, 12, 32, 92, ...

Lets find the ratio of two consecutive terms

\frac{12}{16} = \frac{3}{4}

\frac{32}{16} = 2

\frac{92}{32} = \frac{23}{8}

Common ratio is not same , so it is not Geometric

So answer is neither arithmetic nor geometric




8 0
3 years ago
The _____ were victims of attempted genocide ?
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B Jews and Armenians
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