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Citrus2011 [14]
3 years ago
13

How many solutions does this system of equations have?

Mathematics
2 answers:
Vsevolod [243]3 years ago
6 0

Answer:

B.) two

Step-by-step explanation:

These equations have two solutions, one for solving for each variable. There is a solution for solving for x, and one for y. For both of these equations,

x = 5 -4y and y = 5/4 - x/4

Rudiy273 years ago
3 0

Answer:

B. two

Step-by-step explanation:

  • 3x = -12y + 15
  • x + 4y = 5

Use the elimination method to solve the system of equations. Move the terms like so. As you can see I kept the first equation the same but multiplied the second equation by -3.

  • 3x = -12y + 15
  • -3x = -12y - 15

Now add. 3x and -3x cancel; so does 15 and -15.

0 = -24y

Divide by -24. 0 div'd by -24 is equal to 0.

y = 0

Substitute y into the second equation.

x + 4(0) = 5

x + 0 = 5

x = 5

You've got x = 5 and y = 0; these are two solutions to the system of equations.

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Members of the blade runners skating club collected $950 from fundraising activities they want buy ultrablade skate which are $4
hram777 [196]

Answer:

you will have $37.92 left over and they can buy 19 pairs

Step-by-step explanation:


7 0
3 years ago
5. The width of a row of identical townhouses,
Serjik [45]

Answer:

a. The value of the constant k is 21

b. The equation is y = k * x, where k is the proportionality constant, "x" is the number of terraced houses and "y" is the width of a row of identical houses.

Step-by-step explanation:

a.

<em>A proportional relationship satisfies the equation y = k * x, where k is a positive constant and is called a proportionality constant. In this case "x" is the number of terraced houses and "y" is the width of a row of identical houses. </em>

The data you have is that the width of 5 townhouses are 105 feet. This means that the value of "x" is 5 houses and the value of "y" is 105 feet. By replacing in the equation y = k * x and isolating the constant k, you get:

<em>105=k*5 </em>

k=\frac{105}{5}

<em>k=21 </em>

<u><em>So the value of the constant k is 21.</em></u>

b.

<em>As mentioned, the equation is y = k * x, where k is the proportionality constant, "x" is the number of terraced houses and "y" is the width of a row of identical houses.</em>

This means that just as "x" increases, "y" increases. And that if "x" decreases, "y" will decrease. And this relationship between "x" e "and" will always be the same, determined by the value of the constant "k".

7 0
3 years ago
The scores on the entrance exam at a well-known, exclusive law school are normally distributed with a mean score of 200 and a st
ruslelena [56]

Answer:

the lowest passing score would be x = 298

Step-by-step explanation:

School wishes that only 2.5 percent of students taking test pass

We are given

mean= 200,

standard deviation = 50

We need to find x

The area under the curve can be found by:

2.5 % = 0.025

So, 1- 0.025 = 0.975

We need to find the value of z for which the answer is 0.975

Looking at the z-score table, the value of z is: 1.96

Now, using the formula:

z = x - mean/standard deviation

1.96 = x - 200/50

=> 1.96 * 50 = x-200

98 = x - 200

=> x = 200+98

x = 298

So, the lowest passing score would be x = 298

8 0
3 years ago
What is the radius of a circle with an area of 32.1 square feet
erik [133]
3.2 is the answer.
 
If you want to learn the steps to the process
just copy and paste this "how to find the radius of a circle with an area."
6 0
3 years ago
I will mark as the brainliest answer <br><br> Please show your work
swat32
3 and 5 are the answer
4 0
3 years ago
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