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2 years ago

Solve the following system of equations by graphing. - 4x + 3y -12 - 2x + 3y -18

Mathematics

1 answer:

My name is Ann [436]2 years ago

6 0

Answer:

The solution of the graph is at (-3,-8).

Step-by-step explanation:

The given equations are :

-4x+3y=-12

and

-2x+3y=-18

These are the system of equations in two variables.

The graphs for the equations are :

The solution of the graph is at (-3,-8).

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Security A rounds every 2 minutes and 20 seconds in the gate 1. Security B rounds every 1 minute and 40 seconds in the gate 2. I

Elden [556K]

Answer:

$Time = 11\frac{2}{3}\ min$

Step-by-step explanation:

Given

$Security\ A = 2\ mins, 20\ secs$

$Security\ B = 1\ mins, 40\ secs$

Required

After how many minutes, will they round together

First, convert the given time to minutes

$Security\ A = 2\ mins, 20\ secs$

$Security\ A = 2\ mins+ 20\ secs$

$Security\ A = 2\ mins+ \frac{20}{60}\ min$

$Security\ A = 2\ mins+ \frac{1}{3}\ min$

$Security\ A = 2\frac{1}{3}\ min$

$Security\ B = 1\ mins, 40\ secs$

$Security\ B = 1\ mins+ 40\ secs$

$Security\ B = 1\ mins+ \frac{40}{60}\ min$

$Security\ B = 1\frac{2}{3}\ min$

So, we have:

$Security\ A = 2\frac{1}{3}\ min$

$Security\ B = 1\frac{2}{3}\ min$

List out the multiples of the time of both security personnel take round.

$Security\ A = 2\frac{1}{3}min,\ 4\frac{2}{3}min,\ 7min,\ 9\frac{1}{3}min,\ 11\frac{2}{3}min...$

$Security\ B = 1\frac{2}{3}min,\ 3\frac{1}{3}min,\ 5min,\ 6\frac{2}{3}min,\ 8\frac{1}{3}min,\ 10min\ ,11\frac{2}{3}min,...$

In the above lists, the common time is:

$Time = 11\frac{2}{3}\ min$

This implies that they go on round after $11\frac{2}{3}\ min$

4 0

3 years ago

The volume of a rectangular tank is 20 000 cm3 . Given that the length is 40 cm and width is 25 cm, find its height

olga nikolaevna [1]

$answer \\ 20 \: cm \\ solution \\ volume = 20000 \: {cm}^{3} \\ length = 40 \: cm \\ breadth = 25 \: cm \\ height = \\ now \\ v = l \times b \times h \\ \: \: \: \: \: \: or \: 20000 = 40 \times 25 \times h \\ or \: 20000 = 1000 \times h \\ or \: h = \frac{20000}{1000} \\ h = 20 \: cm \\ hope \: it \: helps$

5 0

3 years ago

Read 2 more answers

-8z+12=-12 plz help asap what is the answer and what does z stand for??!??

Sveta_85 [38]

Answer:

z is a variable so it can be any number.

z=-3

if you do -8 times -3 that equals 24.

the answer is -3

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Use the Quadratic Formula to solve the equation x2 + 4x = - 11.

ad-work [718]

Answer:

I love algebra anyways

the ans is in the picture with the steps

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

6 0

3 years ago

Audrina uses 9.7 pints of blue paint and white paint to paint her bedroom walls. 3 5 of this amount is blue paint, and the rest

Lady bird [3.3K]

Answer:

6.2 pints of white paint.

Step-by-step explanation:

9.7 is the sum of both paints used to pain her bedroom walls. If we know that 3.5 of the 9.7 was blue, we can safely assume that the remainder of the paint was white, thus 9.7 - 3.5 = 6.2

7 0

3 years ago