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3 years ago

4x+ 2/3y= 20 solve for y

Mathematics

1 answer:

ryzh [129]3 years ago

3 0

Answer:

y=-6s+30

Step-by-step explanation:

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What is the distance between the points (-1,2) and (2,3).

ivolga24 [154]

9514 1404 393

Answer:

3.16 ≈ 3.2

Step-by-step explanation:

Put the numbers in the distance formula and do the arithmetic.

d = √((x2 -x1)² +(y2 -y1)²)

d = √((2-(-1))² +(3-2)²) = √(3² +1²) = √10

d ≈ 3.16 ≈ 3.2

The distance rounded to hundredths is 3.16. Rounded to tenths, it is 3.2.

7 0

2 years ago

Suppose that E and F are two events and that N(E and F)=300 and N(E)=730. What is P(F|E)?

marin [14]

Answer:

$\displaystyle\frac{30}{73}$

Step-by-step explanation:

The formula of conditional probability is:

$\displaystyle P(F|E)=\frac{P(E \cap F)}{P(E)}$

And if we called N(U) the total number of possible outcomes, then remember by definition of probability:

$\displaystyle P(E \cap F)=\frac{N(E \cap F)}{N(U)}\\\displaystyle P(E)=\frac{N(E)}{N(U)}$

Then plugging them into the formula of conditional probability we get:

$\displaystyle P(F|E)=\frac{\frac{N(E \cap F)}{N(U)}}{\frac{N(E)}{N(U)}}$

Then we simplify and we get:

$\displaystyle P(F|E)=\frac{N(E \cap F)}{N(E)}$

We just plug the given info and we get:

$\displaystyle P(F|E)=\frac{300}{730}=\frac{30}{70}$

3 0

3 years ago

Pasion wants to rent a car to take a trip and has a budget of $75. There is a fixed rental fee of $25 and a daily fee of $10. Wr

defon

Answer:

The maximum number of days is 5

Step-by-step explanation:

Let

x ----> the number of days

y ---> the total cost to rent a car in dollars

we know that

The fixed rental fee plus the daily fee multiplied by the number of days must be less than or equal to Pasion's budget

The inequality that represent this situation is

$25+10x\leq 75$

Solve the inequality for x

Subtract 25 both sides

$10x\leq 75-25$

$10x\leq 50$

Divide by 10 both sides

$x\leq 5\ days$

therefore

The maximum number of days is 5

5 0

3 years ago

Read 2 more answers

How much do you earn per week if your annual salary is $40,716?

Sidana [21]

Answer:

783

Step-by-step explanation:

There are 52 weeks in a year. Divide 40,716/52 and you get $783 weekly.

4 0

2 years ago

The length of a rectangle is x times the square root of 100. The width is one-half y more than three-halves x. Given that the ar

dimulka [17.4K]

Answer:

$15x^2+5xy-125=0$

Step-by-step explanation:

We are give the following in the question:

Dimensions of rectangle:

Length , l =

$l = x\sqrt{100} = 10x$

Width of rectangle, w =

$w = \dfrac{y}{2} +\dfrac{3x}{2}$

Area of rectangle = 125 square cm.

Area of rectangle =

$A =l\times w$

Putting values, we get,

$125 = 10x\times (\dfrac{y}{2}+\dfrac{3x}{2})\\\\125 = 5xy+15x^2\\15x^2+5xy-125=0$

is the required equation.

7 0

2 years ago

Read 2 more answers