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TEA [102]
3 years ago
15

Question 9(Multiple Choice Worth 5 points) (06.01 MC) Solve the system of equations below. x + y = 8 3x + 2y = 21 (3, 5) (5, 3)

(2, 6) (6, 2)
Mathematics
1 answer:
gayaneshka [121]3 years ago
8 0
<h3>Answer:  B.  (5,3)</h3>

How to get this answer:

x+y = 8 solves to y = -x+8 after isolating y. You subtract x from both sides.

Plug this into the second equation and solve for x

3x + 2y = 21

3x + 2( y ) = 21

3x + 2( -x+8 ) = 21 ... replace y with -x+8

3x - 2x + 16 = 21

x + 16 = 21

x = 21-16

x = 5

Use this to find y

y = -x+8

y = -5+8

y = 3

We have x = 5 and y = 3 pair up to get the ordered pair solution (5,3)

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Answer:

12−2

Step-by-step explanation:

Simplify,

(11+3)+(−5)

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Subtract,

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Since we can't go any further, the solution is,

12−2

6 0
2 years ago
There are 30 biscuits in a tin. 8 of the biscuits are iced, of which 6 contain
amid [387]

The probability that a biscuit picked at random contains chocolate

chips. = 1/5 , The Venn Diagram is attached with the answer.

<h3>What is Probability ?</h3>

Probability is defined as the study of likeliness of an event to happen.

It is given that

There are 30 biscuits in a tin

8 of the biscuits are iced, of which 6 contain chocolate chips

4 biscuits are neither iced nor contain chocolate chips.

the probability that a biscuit picked at random contains chocolate

chips.

There are total 6 biscuits which have chocolate chips

The probability that a biscuit picked at random contains chocolate

chips. = 6/8 *8/30 = 6/30 = 1/5

The probability that a biscuit picked at random contains chocolate

chips. = 1/5

The Venn Diagram is attached with the answer.

To know more about Probability

brainly.com/question/11234923

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5 0
2 years ago
Please answer soon (40 Points)
Aleonysh [2.5K]

Answer:

-99g - 54

Step-by-step explanation:

-9*11g = -99g

-9*6= -54

So, it is -99g - 54

Hope this helps!

4 0
2 years ago
I desperately need this question answered. See attached image thanks so much
Dahasolnce [82]

For this case we must follow the steps below:

step 1:

We place each of the given points on a coordinate axis

Step 2:

We join the AC points (represented by the orange line)

We join the BD points (represented by the blue line)

It is observed that the resulting figure after placing the 4 points on a coordinate axis, turns out to be a rhombus.

In addition, the blue and orange lines turn out to be perpendicular, that is, they have an angle of 90 degrees between them. This can be verified by finding the slopes of each of the two straight lines (blue and orange), which must be opposite reciprocal, that is, they comply: m1 * m2 = -1

In this case, the slope of the orange line is m1 = 1 and that of the blue line is m2 = -1

Then m1 * m2 = 1 * -1 = -1, it is verified that they are perpendicular.

Thus, the conclusion is that ABCD is a rhombus and AC is perpendicular to BD.

Answer:

See attached image

Option D

6 0
2 years ago
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