All categories

2 years ago

What is the value of y in the equation 5x + 2y =20 , when x = 0.3

Mathematics

2 answers:

Burka [1]2 years ago

8 0

To solve this equation, we must substitute in 0.3 for the value of x and then solve the equation for y.

5(0.3) + 2y = 20

To simplify, we begin by multiplying the two numbers on the left side of the equation.

1.5 + 2y = 20

Next, we should subtract 1.5 from both sides of the equation to get the variable term alone.

2y = 18.5

Finally, we should divide both sides of the equation by 2 in order to get the variable y completely alone on the left side of the equation.

y = 9.25

Therefore, the value of y is 9.25.

Hope this helps!

Alex_Xolod [135]2 years ago

8 0

5x + 2y = 20
5 X 0.3 + 2y = 20
1.5 + 2y = 20
2y = 20 - 1.5
2y = 18.5
y = 18.5/2
y = 9.25

The value of y is 9.25

You might be interested in

The graph shows the number of quarts picked and the amount of money the customer paid.

Grace [21]

Answer:

$3.50 for 1 quart

Step-by-step explanation:

4 0

1 year ago

Read 2 more answers

Find the sequence.. 1,2,2,4,8

AlladinOne [14]

Let the n-th term be called $a_n$

We see that if we choose $a_0=1,a_1=2$ then the other numbers follow the pattern $a_{n+2}=a_{n+1}\cdot a_n$ (see : $4=2*2,8=4*2$ )

Hence the sequence will be $1,2,2,4,8,32,256, 8192, 2097152, 17179869184,\dots$

7 0

2 years ago

. A high school currently has a 30% dropout rate. They’ve been tasked to decrease that rate by 20%. Find the equivalent percenta

Crazy boy [7]

Answer:

The equivalent percentage point drop = 10%

Step-by-step explanation:

The percentage point change is the difference between the final and initial values.

The percentage change is the difference between the final and initial values

divided by the initial value

It is required to decrease the dropout rate from 30% to 20%

The point change = 20 - 30 = -10 (-ve change ⇒ decrease)

The percentage change = $\frac{10}{30}*100 = 33.33_%$ %

So, the equivalent percentage point drop = 10%

And the percentage change = 33.33%

3 0

2 years ago

What do the differences between the points (as shown on the graph) represent?

Mekhanik [1.2K]

Answer:

They represent the rise and run of the graph.

Step-by-step explanation:

The difference between the x-axis of the points represents the "run" of the graph (or how much you should run along x-axis to get to the next point.)

The difference between the y-axis of of the points represents the "rise" of the graph (or how much you should rise up the y-xis to get to the next point).

The ratio of rise to run is the slope of the graph, which tells us how many steps should we take on the y-axis for every step we move forward on the x-axis.

8 0

2 years ago

Read 2 more answers

Suppose two different methods are available for eye surgery. The probability that the eye has not recovered in a month is 0.002

umka21 [38]

Answer:

0.4007

Step-by-step explanation:

Let's define the following events:

A: method A is used

B: method B is used

NR: the eye has not recovered in a month

R: the eye is recovered in a month

The probability that the eye has not recovered in a month is 0.002 if method A is used, i.e., P(NR|A) = 0.002, so P(R|A) = 0.998.

When method B is used, the probability that the eye has not recovered in a month is 0.005, i.e., P(NR|B) = 0.005, so P(R|B) = 0.995.

40% of eye surgeries are done with method A, i.e., P(A) = 0.4

60% of eye surgeries are done with method B, i.e., P(B) = 0.6

If an eye is recovered in a month after surgery is done in the hospital, what is the probability that method A was performed? We are looking for P(A|R), then, by Bayes' Formula

P(A|R) = P(R|A)P(A)/(P(R|A)P(A) + P(R|B)P(B)) = 0.998*0.4/(0.998*0.4 + 0.995*0.6) = 0.4007

4 0

2 years ago