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fomenos
3 years ago
11

What is x and y equal in: -2X-y=3 and x+2y=4 (find x and y using elimination)

Mathematics
1 answer:
makvit [3.9K]3 years ago
3 0
-2x-y=3    ...(1)
x+2y=4    ...(2)
multiply (2) by 2 and add to (1)
-2x-y+2x+4y=3+8
3y=11
y=11/3
from (2)
x=4-2y=4-2(11/3)
or x=4-(22/3)
=(12-22)/3=-10/3
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Plz help me with this
forsale [732]

Answer:

\frac{31x}{30}

Step-by-step explanation:

Before adding we require the fractions to have a common denominator

The lowest common denominator of 2, 5 and 3 is 30, thus

\frac{15x}{15(2)} + \frac{6x}{6(5)} + \frac{10x}{10(3)}

= \frac{15x}{30} + \frac{6x}{30} + \frac{10x}{30}

Add the numerators leaving the denominator

= \frac{15x+6x+10x}{30} = \frac{31x}{30}

5 0
3 years ago
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a group of students is donating blood during a blood drive. a student has 9/20 probability of having type 'o' blood and a 2/5 pr
guajiro [1.7K]
For the answer to the question above,
the answer is "<span>The student can have only one blood type, so the actual events are mutually exclusive. "</span>

<span>The probabilities are not mutually exclusive. Based on the group </span>

<span>P(Type O) = 9/20 = 45% or 0.45 </span>
<span>P(Type A) = 2/5 = 40% or 0.40 </span>
<span>P(Other) = 3/20 = 15% or 0.15
I hope my answer helped you. Feel free to ask more questions. Have a nice day!</span>
6 0
3 years ago
Read 2 more answers
What is 20% of 148<br> Anyone know
Alexeev081 [22]

Answer:

29.6

Step-by-step explanation:

20% = 0.20

0.20 * 148 = 29.6

6 0
3 years ago
1. Suppose that a theater charges a school group $4.50 per student to show a special film. Suppose that the theater's operating
elixir [45]

The functions I(x) and E(x) of the theatre's income and expenses are illustrations of linear functions.

<h3>The equation of the theatre's income</h3>

The theatre charges $4.50 per student.

Assume the number of students is x, the equation of the theatre's income would be:

I(x) = 4.5x

<h3>The equation of the theatre's expenses</h3>

The theatre expense per student is $1.25, and the operating cost on the staff is $130

The equation of the theatre's expenses would be:

E(x) = 1.25x + 130

<h3>Complete the table</h3>

Using the formulas I(x) = 4.5x and E(x) = 1.25x + 130, the complete table is:

Students, x  0       10        20     30      40      50      60    70

Income, I      0      45        90     135     180    225    270   315

Expenses, E 130  142.5   155    167.5   180   192.5   205  217.5

<h3>The graph of the theatre's income and expenses</h3>

See attachment

<h3>The pattern by which theatre's income and expenses increase</h3>

The functions I(x) and E(x) are linear functions.

So, the pattern with which the functions increase is a linear pattern.

<h3>The number of students when the theatre's income and expenses are equal</h3>

This means that:

I(x) = E(x)

So, we have:

4.5x = 1.25x + 130

Subtract 1.25 from both sides

3.25x = 130

Divide both sides by 3.25

x = 40

Hence, the number of students is 40

<h3>The theatre profit</h3>

This is the difference between the theatre expenses and their income.

So, we have:

P(x) = E(x) - I(x)

This gives

P(x) = 1.25x + 130 - 4.5x

Simplify

P(x) = 130 - 3.25x

<h3>Solution to the inequalities</h3>

We have:

E(x) < 255

This gives

1.25x + 130 < 255

Subtract 130 from both sides and divide by 1.25

x < 100 students

Also, we have:

I(x) > 675

This gives

4.5x > 657

Solve for x

x > 146 students

Hence, the number of students for the inequalities are less than 100 and greater than 146

Read more about linear equations and inequalities at:

brainly.com/question/11234618

8 0
2 years ago
Expand the function f(x)=(3x+2)
Usimov [2.4K]

Answer:

81x^4+216x^3+216x^2+96x+16

Step-by-step explanation:

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