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inn [45]
3 years ago
9

Substatution and elimination

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
6 0
Well using elimination is easy because they basically did it for you. 
4x-5y=-6
2x+5y=12
The postive 5y and negative 5y cancel out because -5y plus 5y is zero.
so you are left with
4x=-6
2x=12
Add these together
6x=18
divide both sides by 6 and Solve to find your x
x=3
Now we have to eliminate x to find y.
we multiply the second equation by -2 so it can cancel out so
(2x+5y=12)-2
-4x-10y=24
Add the equations together
4x-5y=-6
-4x-10y=24
You are left with -15y = 30
Solve for y
y = -2
So your final answer for the elimination would be 
(3,-2)
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The City Housing Authority has received 50 applications from qualified applicants for eight low-income apartments. Three of the
OlgaM077 [116]
The probability that both specific qualified applicants will be among the eight selected is given by:
P(2\ specified)=\frac{2C2\times 48C6}{50C8}=0.0229
The probability that the two will get apartments on the North side is given by:
P(North)=\frac{3C2\times5C0}{8C2}=0.107
The probability that the two will get apartments on the South side is given by:
P(South)=\frac{5C2\times3C0}{8C2}=0.357
The events '2 apartments on North side' and '2 apartments on South side' are mutually exclusive. Therefore the probability the two specific qualified applicants will be on the same side of town is 0.107 + 0.357 = 0.464.
Finally, the probability that two specific qualified applicants will be selected for apartments on the same side of town is found from:
0.0229\times0.464=0.01063


4 0
3 years ago
Read 2 more answers
Which answer choice shows 21.97 written in expanded form? A. 2 + 1 + 9 + 7 B. 20 + 1 + 0.9 + 0.7 C. 20 + 10 + 0.9 + 0.07 D. 20 +
Simora [160]

Answer:

20 + 1 + 0.9 + 0.07

Step-by-step explanation:

Given the number 21.97 ;

To wite in expanded form:

Tens ___ Unit ____ tenth ____ hundredth

2_______ 1 _______ 9_________ 7

2 = 20

1 = 1

9 = 0.9

7 = 0.07

Hence,

20 + 1 + 0.9 + 0.07

6 0
3 years ago
Answer me please answer
Goryan [66]

Answer:

700 or 960

Step-by-step explanation:

350x2=700

480x2=96

4 0
3 years ago
Your cell phone plan costs $44.99 per month. You also pay 20% in taxes and fees. What is your bill after taxes and fees?
katen-ka-za [31]
So the total bill will be 44.99 + 20% of 44.99 or the total bill (x) will equal 44.99 + .20 × 44.99

x = 44.99 + (.20)44.99
x = 44.99 + 9.00
x = $53.99

*note- .20(44.99) = 8.998 which rounds to $9.00
4 0
3 years ago
If - 7 = 9 + x, then -3x + 5 = ?
Vikentia [17]

Answer:

53

Step-by-step explanation:

At first,

- 7 = 9 + x

By subtracting 9 from both sides, we get

-7-9=9+x-9

-16=x

Now,

By substituting the value of x in -3x + 5 , we get

-3x + 5

-3×(-16)+5

48+5

53

8 0
3 years ago
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