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3 years ago

What is the value of x in the equation 1/5x-2/3y = 30, when y = 15

Mathematics

1 answer:

Fiesta28 [93]3 years ago

5 0

Answer:

x=200

Step-by-step explanation:

(1/5)x-(2/3)y=30, y=15

(1/5)x-(2/3)*15=30

(1/5)x=40

x=200

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3x + 8y= -5<br> -2x + 2y= 18

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Answer:

3x+8y=-5-equatin.1

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3x+8y=-5

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3 years ago

You flip a coin and then roll a 6-sided number cube (a die).

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Answer:

a) No, it does not matter whether you roll the die or flip the coin first, as these two events are <u>independent</u> of each other, which means they do not affect each other.

b) Yes.

Let event 1 be flipping a coin and event 2 be rolling a die.
Let event 1 be rolling a die and event 2 be flipping a coin.

The likelihood that any outcome will occur will not change, as the events are independent.

c) see attached

d) 12 outcomes (H = head, T = tail, numbers represent the value of the die)

H 1 T 1

H 2 T 2

H 3 T 3

H 4 T 4

H 5 T 5

H 6 T 6

$\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}$

$\implies \sf P(even)=\dfrac{1}{6}+\dfrac{1}{6}+\dfrac{1}{6}=\dfrac{3}{6}=\dfrac{1}{2}$

$\implies \sf P(head)=\dfrac{1}{2}$

$\implies \sf P(even)\:and\:P(head)=\dfrac{1}{2} \times \dfrac{1}{2}=\dfrac{1}{4}$

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2 years ago

Suppose you want to test the effectiveness of a certain drug for treating a disease—that is, you want to see if using the drug i

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The factors that are needed to be controlled are :
1. the date of manufacturing of the drug should be the same
2. the amount of drug should be the same
3. the time they will take the drug should be the same
4. the food they are taking should be the same
5. the activities they are doing should be the same

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3 years ago

Read 2 more answers

A is 2 feet tall and grows at a rate of 25 inches per year B is 10 feet y'all and grows at a rate of 9 inches per year How many

Komok [63]

Answer:

The number of years it will take for them to be the same height is 6 years

Step-by-step explanation:

Here we have a question relating to optimization

Let the number of years at which they will be the same height be M

we then have

2 ft + (25/12 × M) ft= 10 ft + (9/12 × M) ft which gives

→ (25/12 × M) ft - (9/12 × M) ft = 10 ft - 2 ft

→ (25/12 × M) ft - (9/12 × M) ft = 8 ft

→4/3 M ft = 8 ft

Therefore, M = (8 ft)÷(4/3 ft) = 6

Therefore, it will take 6 years for them to be the same height.

3 0

3 years ago