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2 years ago

6

Solve the system of linear equations by graphing. Round the solution to the nearest tenth as needed. Y + 2.3 = 0.45x and -2y = 4

.2x - 7.8

2 answers:

Setler [38]2 years ago

5 0

Answer:

a

Step-by-step explanation:

HACTEHA [7]2 years ago

4 0

Answer:

(2.4, -1.2)

Step-by-step explanation:

Start by moving the x and the y to the same side and moving the number across the equal sign in both equations. We should now have y-0.45x=-2.3 and 2y+4.2x=7.8. We can use the elimination method by multiplying the first equation by -2 to get -2y+0.9x=4.6 and 2y+4.2x=7.8. From there, add the two equations together, eliminating y (-2+2=0). We now have 5.1x=12.4; divide both sides by 5.1 to get x=2.4. Then, in any of the two equations, let's use y-0.45x=-2.3, substitute x with 2.4. Now we have y-1.08=-2.3. Add 1.08 to both sides to get y=-1.22; round that to the nearest tenth to get -1.2.

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Twelve people each have a standard deck of cards. Each person shuffles the deck and draws two cards (without replacement). Anyon

Arada [10]

Answer:

The number of people, of the twelve, who will win a prize is 5.

Step-by-step explanation:

In a standard deck of cards there are 52 cards.

The 52 cards are divided into 4 suits: Hearts, Diamonds, Spades and Clubs, each of 13 cards.

Each of the 12 people draws 2 cards from their standard deck of cards.

Compute the probability of selecting at least 1 diamond as follows:

P (At least 1 diamond) = 1 - P (No diamond)

$=1-\frac{{39\choose 2}}{{52\choose 2}} \\=1-\frac{741}{1326}\\ =1-0.5588\\=0.4412$

The probability of selecting at least 1 diamond is 0.4412.

If a person draws at least 1 diamond he wins a prize.

The expected number of people who will win the prize is:

E (Wins a prize) = n × P (At least 1 diamond)

$=12\times0.4412\\=5.2944\\\approx5$

Thus, the number of people of the twelve who will win a prize is 5.

3 0

2 years ago

Which statements are true about the graph of y < Two-thirdsx + 1? Check all that apply. The slope of the line is 1. The line

Marina CMI [18]

The answer would be:

The x-intercept of the boundary line is (-3/2, 0).

The area below the line is shaded.

The slope of the line should be 2/3. The area below the line shaded because the function using y<.....

Coordinate 2,3 doesn't fulfill the function.

y < 2/3x + 1

3 < 2/3(2)+1

3< 4/3+1

3< 2.3 ---->false

X intercept is when the y variable is zero. If you put it to the equation

y = 2/3x + 1

0= 2/3x+1

2/3x= -1

x= -3/2

8 0

2 years ago

Read 2 more answers

If ABC is congruent to DEC, angle B = 50 degrees and angle E = 5x x=

Anarel [89]

Because base angles are congruent, both angle A and B are congruent. If the two triangles are congruent, then the base angles are the same, meaning 5x=50*. Divide by 10 and you get the answer of x=5. :) Hope this helps!

7 0

2 years ago

Rosa says she can break this array(6 rows,8 in each row) into 3 different sets of two smaller arrays.Is Rosa correct.Explain

snow_tiger [21]

Answer:

Rosa is correct

Step-by-step explanation:

Rosa has array $6 \times 8$ (6 rows and 8 columns). She can break this array into two smaller arrays in such ways:

1st array $5\times 8$ (5 rows and 8 columns) and 2nd array $1\times 8$ (1 row and 8 columns);
1st array $4\times 8$ (4 rows and 8 columns) and 2nd array $2\times 8$ (2 rows and 8 columns);
1st array $3\times 8$ (3 rows and 8 columns) and 2nd array $3\times 8$ (3 rows and 8 columns);
1st array $6\times 1$ (6 rows and 1 column) and 2nd array $6\times 7$ (6 rows and 7 columns);
1st array $6\times 2$ (6 rows and 2 columns) and 2nd array $6\times 6$ (6 rows and 6 columns);
1st array $6\times 3$ (6 rows and 3 columns) and 2nd array $6\times 5$ (6 rows and 5 columns);
1st array $6\times 4$ (6 rows and 4 columns) and 2nd array $6\times 4$ (6 rows and 4 columns).

So, there are even more than 3 different ways.

4 0

2 years ago

After a 5% pay raise , Hermione is earning $21,000 per year. What was she earning before the pay raise?

Finger [1]

Answer:

$\$20,000$

Step-by-step explanation:

Let

x -----> Hermione was earning before the pay raise

we know that

$100\%+5\%=105\%=105/100=1.05$

so

The linear equation that represent this problem is

$1.05x=21,000$

Solve for x

Divide by 1.05 both sides

$x=21,000/1.05$

$x=\$20,000$

7 0

2 years ago