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2 years ago

X=-2-8 3x-4y=6 What is the answer for

Mathematics

1 answer:

WARRIOR [948]2 years ago

4 0

Answer: (x,y) = (-10, -9)

Step-by-step explanation:

(By replacement method ...)

1- x = -2-8 it's the same thing as x = -10.

2- Replace the given value of x in equation 3x - 4y = 6

Replacing ...

3 * (-10) -4y = 6

3- Then, Multiply 3 by -10;

4) Move -30 to the right side of the equal sign, getting: 6 + 30.

-4y = 36

5) Multiply by -1

-4y * (- 1) = 36 * (- 1) is equal to 4y = -36

6) The four is multiplying the y, so pass the four dividing, getting:

-36/4

The ratio of -36 by 4 equals -9.

Therefore...

x = -10

y = -9

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A box contains three plain pencils and 5 pens. A second box contains three colored pencils and three crayons. One item from each

worty [1.4K]

Answer:

Therefore the probability that a pen from the first box and a crayon from the second box are selected is $\frac5{16}$

Step-by-step explanation:

Probability:

The ratio of the number of favorable outcomes to the number all possible outcomes of the event.

$Probability=\frac{\textrm{The number favorable outcomes}}{\textrm{The number all possible}}$

Given that,

Three plain pencils and 5 pens are contained by the first box.

Total number of pens and pencils is =(3+5)=8

The probability that a pen is selected from the first box is

=P(A)

$=\frac{\textrm{The number pens}}{\textrm{Total number of pens and pencils}}$

$=\frac{5}{8}$

A second box contains three colored pencils and three crayons.

Total number of pencils and crayons is =(3+3)=6

The probability that a crayon is selected from the second box is

=P(B)

$=\frac{\textrm{The number of crayon}}{\textrm{Total number of crayons and pencils}}$

$=\frac{3}{6}$

Since both events are mutually independent.

The required probability is multiple of the events

Therefore the required probability is

$=\frac58\times \frac36$

$=\frac5{16}$

4 0

3 years ago

Explain how you could convert 152 cups into gallons.

Mila [183]

Answer: There are 16 cups in every gallon so we could divide 152 by 16 and get our number of gallons which would give us 9.63 or a little over 9 and a half gallons.

Step-by-step explanation:

4 0

2 years ago

A toy box has a volume of 30 cubic feet. It is 5 feet wide And 2 feet long. What is the height of the toy box

otez555 [7]

V = a * b * c
V = 30
a = 5
b = 2
c = ?
30 = 5*2*c
30 = 10*c
c = 30/10 = 3
c = 3

7 0

3 years ago

Read 2 more answers

Order of Operations Simplify. 6 + 6+2/4

ki77a [65]

Wouldn't the answer be 12.5 because 2/4 is 0.5 and 6+6 is 12

3 0

2 years ago

Seventy percent of kids who visit a doctor have a fever and 21% of kids have fever and sore throats . what is the probability th

Neko [114]

The probability that a kid who goes to the doctor has a sore throat given that he has a fever is 0.30 or 30%. Computed using conditional probability.

The probability of any event A given that event B has already taken place is found using the formula P(A|B) = P(A ∩ B)/P(B). This is known as conditional probability, where P(A ∩ B) is the probability of events A and B, and P(B) is the probability of event B.

In the question, we are given that 70% of kids who visit a doctor have a fever and 21% of kids have a fever and sore throats.

We are asked to find the probability that a kid who goes to the doctor has a sore throat given that he has a fever.

We suppose the event of going to the doctor while having a fever to be B, and going to a doctor while having a sore throat to be A.

We are given that 70% of kids who visit a doctor have a fever, that is, the probability of event B, P(B) = 70% = 0.7.

We are given that 21% of kids who visit a doctor have a fever and sore throats, that is, the probability of event A and event B, P(A ∩ B) = 21% = 0.21.

We are asked to find the probability that a kid who goes to the doctor has a sore throat given that he has a fever, that is, we are asked to find the conditional probability of event A, when event B has already taken place, that is, P(A|B).

By formula, we know that:

P(A|B) = P(A ∩ B)/P(B) = 0.21/0.70 = 0.30.

Thus, the probability that a kid who goes to the doctor has a sore throat given that he has a fever is 0.30 or 30%.

Learn more about conditional probability at

brainly.com/question/10739997

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1 year ago