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jarptica [38.1K]
3 years ago
13

(05.02 MC) What is the value of the x variable in the solution to the following system of equations? (5 points) 2x − 3y = 3 5x −

4y = 4 −1 0 x can be any number as there are infinitely many solutions to this system There is no x value as there is no solution to this system
Mathematics
1 answer:
Mandarinka [93]3 years ago
6 0

Answer:

x = 0

Step-by-step explanation:

(1)    2x – 3y = 3

      5x – 4y = 4 - 10x     Add 10x to each side

(2) 15x – 4y = 4

Solve Equation (1) for y

-3y = 3 – 2x         Multiply each side by -1

3y = -3 + 2x      Divide each side by 3

  y = -1 + (2/3)x

Substitute y into Equation (2)

15x - 4[-1 + (2/3)x] = 4      Multiply each side by 3

 45x – 4(-3 + 2x) = 12     Remove parentheses

     45x + 12 + 8x = 12     Subtract 12 from each side

             45x + 8x = 0     Combine like terms

                     53x = 0     Divide each side by 53

                          x = 0

The graph shows that the two lines intersect when x = 0.

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Helpppp quickk pleassee I’m being timeddd
Alex

<u>Given</u>:

The given graph represents the cost of the Kayak's rental per hour.

The coordinates are (2,30) and (3,45)

We need to determine the unit rate of renting per hour.

<u>Unit rate of renting:</u>

The unit rate of renting can be determined using the formula,

m=\frac{y_2-y_1}{x_2-x_1}

Substituting the coordinates (2,30) and (3,45), we get;

m=\frac{45-30}{3-2}

Simplifying, we get;

m=\frac{15}{1}

Dividing, we get;

m=15

Thus, the unit rate for renting a Kayak is $15 per hour.

7 0
3 years ago
solve this word problem leading to quadratic equation: the area of a rectangle is 60cm². The length is 11cm more than the width.
morpeh [17]

Answer:

Step-by-step explanation:

let : x The length and y the width you have this system :

xy =60....(1)

x = y+10...(2)

put the value for x in (1):  (y+10)y =60

the quadratic equation is : y² +10y - 60 = 0

Δ =b² - 4ac        a = 1        b= 10      c= - 60

Δ =10² - 4(1)(-60) = 324 =18²

y 1 = (-10-18)/2 negatif...... refused

y 2 = (-10+18)/2 =4

the width is 4

8 0
3 years ago
When exchanging US Dollars (USD) for Philippine Peso.(PHP) the number of philippine pessos received is directly Proportional to
Tasya [4]

Answer:

1: 36.561

2: 45701.25

Step-by-step explanation:

31076.85/850 = 36.561

36.561*1250=45701.25

3 0
3 years ago
The value of a car is 18,500. It loses 10.3% of its value every year. Find the approximate monthly decrease in value. Round your
valentina_108 [34]

Answer:

$158.8

Step-by-step explanation:

There are 12 months in 1 year.

If in 1 year, it looses value of 10.3%, so in a month it will loose value of:

10.3%/12 = 0.8583% per month

So, to find the decreased value (in dollars) per month, we got to find 0.8583% of 18,500 dollars.

First, we need to convert percentage to decimal by dividing by 100. Then we multiply that to 18,500 to get our answer. So:

0.8583% = 0.8583/100 = 0.008583

Now,

0.008583 * $18,500 = $158.7855

Rounded to nearest tenth (1 decimal pae) = $158.8

6 0
4 years ago
Savannah was paid $87 for 12 hours of babysitting and $65.25 for 9 hours. What is the constant of proportionality that describes
ycow [4]
Answer is B) 7.25

87/12 = 7.25
65.25/9 = 7.25
4 0
3 years ago
Read 2 more answers
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