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shtirl [24]
3 years ago
8

Solve each system by elimination 5x + y - 2z = -12

Mathematics
1 answer:
kumpel [21]3 years ago
6 0
X = -12 - y + 2z / 5

I hope this helps. :)
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If the area of a rectangle is 12cm2 what could its length be and its width?
lawyer [7]
Hello, 

We know that th formula for the area of a rectangle is: A=b*h
Now, the problem in this excercise is that there is no restriction on the values that b and h can take, so, they can take any value provided that it meets:  b*h=12 cm^{2}
for example:
lenght=  \frac{12}{3}cm \,\,\,\,\,\,and\,\,\,\,width= 3 cm \\  \\ A=\frac{12}{3}cm*3cm \\ A=12 cm^{2}

But if they can only take intenger values, what we have to do is to descompose 12, and then we can analyze the possible solutions.

12   |  2
  6   |  2
  3   |  3
  1

12= 2 *2*3

first option:
12=4*3

Answer: lenght= 4cm   and   width= 3cm  or vice versa

second option:
12=2*6

Answer: lenght= 6cm   and   width= 2cm  <span>or vice versa</span>
7 0
3 years ago
PLEASE HELP ASAP GIVING BRAINLIEST
Lady_Fox [76]

Answer:

Part 1) y=32.5x+11.95

Par 2) see the explanation

Part 3) \$401.95

Step-by-step explanation:

Part 1) Write an equation in slope intercept form to represent this problem

Let

x ----> the number of tickets

y ---> the total cost

The linear equation in slope intercept form is equal to

y=mx+b    

where

m is the slope or unit rate

b is the y-intercept (one-time  processing fee)

In this problem we have

b=\$11.95

ordered pairs (4,141.95) and (7,239.45)

Find the slope

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values in the formula

m=\frac{239.45-141.95}{7-4}

m=\frac{97.5}{3}

m=32.5

substitute the values in the linear equation

y=32.5x+11.95

Part 2) What does your slope represent in this problem? What does your y-intercept represent in this problem?

a) The slope of the linear equation represent the unit rate, so the slope represents the cost of one ticket

m=\$32.5\ per\ ticket

b) The y-intercept is the value of y when the value of x is equal to zero

In this context, the y-intercept represent the one-time  processing fee

b=\$11.95

Part 3) Use the equation to find how much Alan would have to pay for 12 tickets

For x=12 tickets

substitute in the linear equation

y=32.5(12)+11.95

y=\$401.95

3 0
3 years ago
I neeed helppp please help me
r-ruslan [8.4K]

Answers:

  • A) The equation is d = 2t
  • B) Independent variable = time; dependent variable = amount of cookies

=========================================================

Explanation:

The independent variable is always long the horizontal axis. Often this is x, but we are using t in this case.

The variable t represents the amount of time in minutes. For instance, t = 2 means 2 minutes have elapsed. At this time, 4 cookies have been eaten as shown by the point (2,4). As another example, the point (3,6) means that d = 6 cookies have been eaten at time t = 3 minutes.

The equation is d = 2t because the '2' represents the rate of change of "eating 2 cookies per minute". Whatever the time value (t) is, we double it to get the value of d, which is the number of cookies eaten.

6 0
3 years ago
Complete the equation of variation where y varies inversely as x and y = 80 when x = 0.7.
andre [41]
Y varies inversely with x
means that y=k/x 
with x=0.7 and y=80
we have 80=k/0.7
k=0.7x80=56
so the equation is 
y=56/x
3 0
3 years ago
Read 2 more answers
Simplify -5x(x - 3y)
jenyasd209 [6]
Start by distributing -5x into x then into -3y. So -5x times x equals -5x^2( -5x squared), then -5 times -3y, equals 15xy so your answer is -5x^2 + 15xy.
4 0
3 years ago
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