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Alinara [238K]
3 years ago
10

The point(0,2) Is the only solution to the system of linear equations that contains the equations Y = 1/2 X +2 and y =-3X +2. Ch

oose the term that describes a set of equations
a)dependent equations

b) inconsistent equations

C)independent equations

D) cannot be determined
Mathematics
1 answer:
Nitella [24]3 years ago
8 0

Answer:

independent equations

Choice C is correct

Step-by-step explanation:

The system of linear equations that contains the equations;

Y = 1/2 X +2 and y =-3X +2 is said to be consistent since it has at least one solution;

The point (0,2)

If a consistent system of equations has exactly one solution, it is said to be independent.

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What is 1 and 1/2% of 400?
aniked [119]
\bf {{ a}}\%\ of\ b \implies  \cfrac{{{ a}}}{100}\cdot b\implies {{ a}}\div 100\cdot b\\\\
-----------------------------\\\\
thus
\\\\

\begin{cases}
{{ 1}}\%\ of\ 400 \implies  \cfrac{{{ 1}}}{100}\cdot 400\implies {{1}}\div 100\cdot 400\\
--------------\\
{{ \frac{1}{2}}}\%\ of\ 400 \implies  \cfrac{{{ \frac{1}{2}}}}{100}\cdot 400\implies {{\frac{1}{2}}}\div 100\cdot 400
\end{cases}

you tell us
3 0
3 years ago
Ryan the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the ot
Ivahew [28]

Answer:

Both plans last for 1.25 hours (1 hour 15 minutes)

Step-by-step explanation:

Let x hours be the time needed for plan A and y hours be the time needed for plan B.

On Wednesday there were 5 clients who did Plan A and 3 who did Plan B. Thus, 5x+3y=10.

On Thursday there were 2 clients who did Plan A and 6 who did Plan B. Thus, 2x+6y=10.

Solve the sytem of two equation. Multiply the first equation by 2, the second by 5 and subtract them:

10x+6y-10x-30y=20-50,\\ \\-24y=-30,\\ \\y=\dfrac{30}{24}=\dfrac{5}{4}=1.25\ hours.

Therefore,

5x+3\cdot 1.25=10,\\ \\5x=10-3.75=6.25,\\ \\x=1.25\ hours.

8 0
4 years ago
A randomly generated list of number from 0 to 7 is being used to simulate an event, with the numbers 0 and 1 representing a succ
Nitella [24]
Probability to get a success is 0 AND one

1) P(getting 0) = 1/8 ( from 0 to 7 = 8 numbers)
 
2) P(getting 1) = 1/8

P(1 and 0) = 1/8 x 1/8 = 1/64 =0.0156 = 1.56%
4 0
3 years ago
Read 2 more answers
An opaque bag contains 5 green marbles 3 blue marbles and 2 red marbles. what is the of randomly picking out a marble and the ma
Elan Coil [88]

Answer:

1/5

Step-by-step explanation:

Since there are 2 red marbles and since there are a total of 10 marbles, the probability is 2/10. This simplifies to 1/5. So the probability of picking a red marble is 1/5.

4 0
4 years ago
Y=x+3<br>y=2x+5<br><br><br>PLZ HELP! I NEED IT SOOOOOOOO BAD!!!<br>​
natita [175]
Because both equations are equal to y, you can set the equations equal to each other.

2x+5= x+3
-x -x
x+5=3
-5 -5
x= -2

Then, you can substitute -2 to any equation to find x.

y= (-2)+3 y= 2(-2)+5
y= 1 y= -4+5
y=1



:
x=-2
y=1

4 0
4 years ago
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