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laila [671]
3 years ago
5

4x+3y=20 2x+y=7 How do I solve this? I forgot how to do it :/ also no answer choice

Mathematics
1 answer:
Crank3 years ago
6 0

So for this, I will be using the substitution method. Firstly, subtract both sides in the second equation by 2x: 4x+3y=20\\ y=7-2x

Next, substitute y in the first equation with 7-2x, then solve for x from there:

4x+3(7-2x)=20\\ 4x+21-6x=20\\ -2x+21=20\\ -2x=-1\\ x=\frac{1}{2}

Now that we got x, substitute it into either equation to solve for y:

4*\frac{1}{2}+3y=20\\ 2+3y=20\\ 3y=18\\ y=6\\ \\ 2*\frac{1}{2}+y=7\\ 1+y=7\\ y=6

In short, x = 1/2 and y = 6.

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A telephone poll asked people whether they like playing golf. 120 people said they like playing golf and 630 people said they do
Paladinen [302]
First we need to know how many people were asked - 120 + 630 = 750 people
Now we make fractions - 120/750 and 630/750
Divide the fractions - 120/750 = 0.16 and 630/750 = 0.84
Multiply the results by 100 so we can get the percentage - 0.16 x 100 = 16% and 0.84 x 100 = 84%

The percentage of people that like playing golf is 16%.
3 0
3 years ago
Read 2 more answers
50 POINTS + BRAINLIEST
BARSIC [14]

slope = rise over run = y/x

A (-1,3) slope = 3/-1 = -3

B (1,2) slope = 2/1 = 2

C (-3,-1) slope = -1/-3 = 1/3

2 lines need to be negative reciprocals in order to be a right triangle

negative reciprocal of -3 is 1/3

 so this is a right triangle


3 0
3 years ago
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What is the distance between the points (12,-8) and (-14,20)
Harman [31]

Answer:

The approximate distance between the points is 38.2

Step-by-step explanation:

The distance between these two points is a diagonal line. In order to solve this problem, you need to plot your points and form a right triangle.  The overall distance from one point to another on the x-axis is 26 (12-(-14)), and the overall distance from one point to another on the y-axis is 28 (20-(-8)).  These two distances will form a right angle at (-14,-8).  The distances on the x and y axis are the 'legs' of the triangle and the distance between the given points in the problem represents the hypotenuse.  Using the pythagorean theorem (a^2 +b^2 = c^2), we can substitute in our values of 'a' and 'b' to get 28^2 + 26^2 = c^2, or 784 + 676= 1460, therefor the square root of 1460 is approximately 38.2.

7 0
3 years ago
Read 2 more answers
What is the answer for this problem
STALIN [3.7K]
588, (16-4/2)= 14
(14) square 2= 196
196•3= 588
:3
5 0
3 years ago
According to a recent survey of adults, approximately 62% carry cash on a regular basis. The adults were also
pochemuha

According to the probabilities given, it is found that the correct option regarding the independence of the events is given by:

No, P(carry cash) != P(carry cash|have children).

<h3>What is the probability of independent events?</h3>

If two events, A and B, are independent, we have that:

P(A \cap B) = P(A)P(B)

Which also means that:

P(A|B) = P(A)

P(B|A) = P(B)

In this problem, we have that:

  • 62% carry cash on a regular basis, hence P(cash) = 0.62.
  • 46% has children, hence P(children) = 0.46.
  • Of the 46% who have children, 85% carry cash on a regular basis, hence P(cash|children) = 0.85.

Since P(carry cash) != P(carry cash|have children), they are not independent.

More can be learned about the probability of independent events at brainly.com/question/25715148

6 0
2 years ago
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