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3 years ago

8/9=4/5k how to solve

1 answer:

5 0

Divide both sides by 4/5 or multiply by the reciprocal.

Flip 4/5 to get the reciprocal.
The reciprocal of 4/5 is 5/4 so we will multiply both sides by that.

5/4 * 8/9 = 4/5 * 5/4 * k

4/5 and 5/4 cancel out so now you have

5/4 * 8/9 = k

multiply top and bottom
(5 *8 )/(4*9)

40/36

Simplify

10/9

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Will mark brainliest for whoever answers

stepan [7]

Answer:

6/10

Step-by-step explanation:

There are a total of 10 marbles, 2 red, and 4 green. So the probability you draw a red or green marble would be 6/10

6 0

2 years ago

Suppose a shipment of 120 electronic components contains 3 defective components. to determine whether the shipment should be ac

Likurg_2 [28]

For this problem, the most accurate is to use combinations

Because the order in which it was selected in the components does not matter to us, we use combinations

Then the combinations are $nC_r = \frac{ n! }{r! (n-r)!}$

n represents the amount of things you can choose and choose r from them

You need the probability that the 3 selected components at least one are defective.

That is the same as:

(1 - probability that no component of the selection is defective).

The probability that none of the 3 selected components are defective is:

$P = \frac{_{117}C_3}{_{120}C_3}$

Where $_{117}C_3$ is the number of ways to select 3 non-defective components from 117 non-defective components and $_{120}C_3$ is the number of ways to select 3 components from 120.

$_{117}C_3 = 260130$

$_{120}C_3 = 280840$

So:

$P = \frac{260130}{280840} = 0.927$

Finally, the probability that at least one of the selected components is defective is:

$P = 1-0.927 = 0.0737$

P = 7.4%

3 0

3 years ago

Al tom and Joe share €3000. The ratio of the amount Al gets to the amount tom gets is in the ratio 5:4. Joe gets 1.5 times the a

suter [353]

Answer:

€1333.33

Step-by-step explanation:

Al Tom ratio to Joe=5:4

Joe gets 1.5 times the amount Al gets

€3000 in the ratio 5:4

Al share

5/9×3000

=€1666.67

Joe share

4/9×3000

=€1333.33

8 0

3 years ago

If G is the circumcenter of triangle ABC, AG = 6x + 1, GC = 9x – 11, and BC = 38, find GF.

maks197457 [2]

Answer:

GF = 16.25

Step-by-step explanation:

If G is the circumcenter of triangle ABC, AG = 6x + 1, GC = 9x – 11, and BC = 38, find GF.

Step 1

We find x

AG = GC

6x + 1 =9x - 11

Collect like terms

1 + 11 = 9x - 6x

12 = 3x

x = 12/3

x = 4

Step 2

We solve for AG

GC = 9x + 11

GC = 9(4) + 11

GC = 36 + 11

GC = 25

Step 3

Solving for GF, using Pythagoras Theorem

GF² + BG² = GC²

GF² = GC² - BG²

GF = √GC² - BG²

GF = √25² - 19²

GF = √264

GF = 16.248076809

GF = 16.25

6 0

2 years ago

Which are are solutions for x^2 + 5x – 1 > 6

Eddi Din [679]

Answer:

it might be b and d

Step-by-step explanation:

6 0

2 years ago