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rodikova [14]
3 years ago
9

Solve each system by substitution. 5) 5x + 3y =-23 y = 4

Mathematics
1 answer:
docker41 [41]3 years ago
3 0

Answer:

(- 7, 4 )

Step-by-step explanation:

Given the 2 equations

5x + 3y = - 23 → (1)

y = 4 → (2)

Substitute y = 4 directly into (1_

5x + 3(4) = - 23, that is

5x + 12 = - 23 ( subtract 12 from both sides )

5x = - 35 ( divide both sides by 5 )

x = - 7

Solution is (- 7, 4 )

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Someone help me asap pls​
Makovka662 [10]

Answer:

<u>For the graph in the top-left corner, the ?? = 0.25</u>

This can be found using a simple slope equation:

m = (y2-y1)/(x2-x1)

m = slope

You take two coordinates, in this case (8, 2) and (4, 1), label one as #1 and the other as #2, and plug in the values so:

slope = (2-1)/(8-4)

slope = 1/4 or 0.25

The equation of a line is y = mx + b and if you were to place 0.25, or 1/4, in place of m (the slope) and 1 in the place of x since it is the x value, and multiply, you would end up with 0.25.

This also gives you the answer to your next two questions.

<u>The one in the top-right corner is $0.25 per pencil.</u>

<u>The answer to the question just below it is y = 0.25x.</u>

b in the equation would equal 0 since b is the y-intercept (where the line crosses the y-axis)

As for the last one, you simply have to multiply 30 by each number in the left column since you already know 30 miles are travelled in 1 hour, giving you your rate or the equation of the line, y=x.

<u>The missing values of the table are as follows:</u>

<u>0, 60, 150, 240, 330, 1470</u>

Finally, the last box:

<u>Miles = 30 * hours</u>

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8 0
3 years ago
Adding and subtracting mixed numbers with unlike denominators
Agata [3.3K]

Answer:

Step-by-step explanation: You need to find a the lowest number that the denominators can be timed by. In you're case. You can just times 5 by 2 = 10

So that both the denominators are 10. And the denominator that was once 5. The numerator of that fraction also needs to be timed by 2.

So then you have 7 18/10 - 6 15/10

Then you can convert them to to proper fractions 8 8/10 - 7 5/10

Then you can take away the fractions so it's

8 8/10 - 7 5/10 = 1 3/10

7 0
3 years ago
Read 2 more answers
Can someone plz help I do not know what I am doing
PolarNik [594]

the answer is D-n is greater then or equal to nine.

because the red dot starts on nine and goes up its greater than nine and because its on nine its also going to equal it. I had a problem getting the signs messed up when I learned it but I remember the sign always eats the greater number. I hope this answer could help and I'm sorry if the answer is incorrect.

3 0
3 years ago
What are 3 ratios that are equivalent to 18:4
MAXImum [283]
Try 9:2 and 3:1 but I'm not sure if that's right or not
7 0
3 years ago
Read 2 more answers
A movie theater has a seating capacity of 333. The theater charges $5.00 for children, $7.00 for students,
pantera1 [17]

Answer:

182 children, 91 adults, 60 students

Step-by-step explanation:

The quantity of adults is x, then the quantity of children are 2x,  the quantity of students is 333-x-2x=333-3x. The charge from all adults is 12x, students gave 7*(333-3x), children gave 5*2x=10x, the sum of all money is 2422

12x+ 7(333-3x)+10x=2422

12x+2331-21x+10x=2422

2331+x=2422

x=91- the amount of adults

1) 91*2=182- the amount of children

333-91-182= 60- the amount of students

6 0
3 years ago
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