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Alekssandra [29.7K]
2 years ago
13

Solve the following system using substitution. Remember to record your answer as (x, y).

Mathematics
1 answer:
natta225 [31]2 years ago
4 0

Answer:

You already have what you are going to substitute, just put the y values from the first equation into the second! Like this:

6x - 5(-2x - 9) = -19

Multiply it out:

6x +10x +45 = -19

Add like terms + simplify:

16x + 45 = -19

16x = -64

x = -4

take that x and put it back into the first equation!!

y = -2(-4) -9

y= 8-9

y= -1

so... your answer is (-4, -1)

hope this helps!

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Most states and Canadian provinces have government-sponsored lotteries. Here is a simple lottery wager, from the Tri-State Pick
kondaur [170]

Answer:

For many(n) tickets, the average payoff is 0.5n, in which n is the number of tickets.

Step-by-step explanation:

1/1000 chance of winning.

This means that there is an 1/1000 probability of you earning $500.

1 - 1/1000 = 999/1000 chance of losing.

In this case, you earn nothing.

What is your average payoff from many tickets

A = \frac{500*1}{1000} + \frac{0*999}{1000} = \frac{500}{1000} = 0.5

Your average payoff from a ticket is 0.5. So for many(n) tickets, the average payoff is 0.5n, in which n is the number of tickets.

3 0
3 years ago
Sidney skated for 1 1/10 hours last month and 8 7/10 hours this month. How many
olganol [36]

Answer:

the number of hours does sidney skate in all is 9.8 hours

Step-by-step explanation:

The computation of the number of hours does sidney skate in all is as follows:

= Last month + this month

= 1 \frac{1}{10} + 8 \frac{7}{10}\\\\= \frac{11}{10} + \frac{87}{10}\\\\= \frac{98}{10}

= 9.8 hours

Hence, the number of hours does sidney skate in all is 9.8 hours

3 0
3 years ago
10. Write an equation in point-slope form and slope-intercept form for the line.
olga2289 [7]

We can use the points (2, -2) and (4, -1) to solve.

Slope formula: y2-y1/x2-x1

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

= -3/6

= -1/2

Point slope form: y - y1 = m(x - x1)

y - 2 = -1/2(x + 2)

Solve for y-intercept.

-2 = -1/2(2)  + b

-2 = -1 + b

-2 + 1 = -1 + 1 + b

-1 = b

Slope Intercept Form: y = mx + b

y = -1/2x - 1

______

Best Regards,

Wolfyy :)

5 0
2 years ago
Milo has 5 nickels. Milo has 6 fewer nickels than Elliott. How many nickels does Elliott have?
Natalka [10]

Answer:

11

Step-by-step explanation:

x - 6 = 5

3 0
3 years ago
Select all the ways to response 3 hundrethd
Ber [7]
3/100
3%
.03

These are the ways to represent this number :)
8 0
2 years ago
Read 2 more answers
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