All categories

2 years ago

Find the value of x and y. y=2x and 1.85x+3.7y=12.95

Mathematics

1 answer:

Len [333]2 years ago

3 0

Answer:

x=1.4 y=2.8

Step-by-step explanation:

Lets substitute y with 2x. We get: 1.85x+7.4x=12.95.

Simplifying by combining x: 9.25x=12.95

Then you just divide 12.95 by 9.25: x=1.4

Now for y. We know why is 2x so we just have to multiply x by 2: y=2x, y=2.8.

You might be interested in

A television was originally priced at $598.00. The price was reduced by 6%. What is the new price of the television?

aksik [14]

Hello.

To find the answer of this question, you need to find 6% of 598.
6 / 100 = 0.06. 0.06 x 598 = 35.88. So now all you have to do is subtract 35.88 from 598. 598 - 35.88 = 562.12.

So the new price of the television is 562.12.

Have a great day! :)

8 0

2 years ago

DETERMINE WHETHER THE EXPRESSIONS BELOW ARE CORRECT OR NOT AND DO THE CORRECTION

Assoli18 [71]

Answer:

First ans is true but second one is not the cotrect

one

4 0

2 years ago

Read 2 more answers

he probability that the San Jose Sharks will win any given game is 0.3694 based on a 13-year win history of 382 wins out of 1034

garri49 [273]

Answer:

0.0071 = 0.71% probability that the San Jose Sharks win 9 games in the upcoming month.

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the Sharks win, or they do not. The probability of the Sharks winning a game is independent of any other game. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The probability that the San Jose Sharks will win any given game is 0.3694.

This means that $p = 0.3694$

An upcoming monthly schedule contains 12 games.

This means that $n = 12$

What is the probability that the San Jose Sharks win 9 games in the upcoming month?

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 9) = C_{12,9}.(0.3694)^{9}.(0.6306)^{3} = 0.0071$

0.0071 = 0.71% probability that the San Jose Sharks win 9 games in the upcoming month.

6 0

2 years ago

Can someone help me please

ANTONII [103]

B.) 85

They are alternate interior angles so they are the same degree.

3 0

2 years ago

find a function whose second derivative is y''=12x-2 at each point (x,y) on its graph and y=-x+5 is tangent to the graph at the

pogonyaev

Start by integrating y'' twice to get function y(x).

$y' = \int (12x - 2) dx = 6x^2 -2x + c \\ \\ y = \int (6x^2 -2x+c )dx= 2x^3-x^2 +cx+d$

Next find value of coefficients 'c' and 'd' using the given tangent line
The slope of tangent line is equal to y' when x=1.

$6x^2 -2x+c = -1, x = 1 \\ \\ 6-2+c = -1 \\ \\ c = -5$

The tangent line intersects the curve y(x) when x = 1.
If x = 1, then y = 4 (From y =-x+5)

$y = 2x^3 -x^2-5x +d , x = 1, y = 4 \\ \\ 2-1-5+d = 4 \\ \\ d = 8$

Final Answer:
$y = 2x^3 -x^2 -5x+8$

3 0

2 years ago