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Alekssandra [29.7K]
3 years ago
9

2. Consider the following system of equations.

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
3 0

Answer:

see below

Step-by-step explanation:

a.

first equation: slope = 2, y intercept = (0,4)

second equation: slope = -1, y intercept = (0,5)

b.

They are intersecting lines. They don't have the same slope so they aren't parallel and they obviously aren't the same equation so they aren't the same line.

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10 (2y + 2) - y = 2 (8y - 8)
Ede4ka [16]

Answer:

10(2y+2)= 10.2y+10.2

20y+20-y

2(8y-8)=2.8y-2.8

20y+20-y=16y-16

20y-16y-y=-20-16

3y=-36

36/3y=?

y=-12

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The average temperature of the week is 80 degrees. The first 3 days have an average of 78 and the average of the last 3 days is
Tju [1.3M]

Answer:

80

Step-by-step explanation:Solution:

step 1 Address the formula, input parameters & values.

Input parameters & values:

The given numbers are 78 & 80

step 2 Find the sum of the given two numbers.

sum = 78 + 80 = 158

step 3 Divide the sum by 2 to get the average.

average = 158/2

= 79

Thus, 79 is an average of positive integers 78 and 80.

3 0
3 years ago
Latoya just bought a refrigerator for $931. She paid $139.80 in a down payment and will pay the rest in 4 equal installments. Ho
NARA [144]

Answer:

$197.80

Step-by-step explanation:

$931.00 - $139.80 = $791.20

$791.20 / 4 equal installments = $197.80

7 0
3 years ago
Calculate the simple interest on a loan of $3500 for a period of 6 months at a yearly rate of 5%. (10 POINTS!!)​
ser-zykov [4K]

Answer:

$3,799.20

Step-by-step explanation:

We presume your formula is intended to be ...

M = Pm(1 + m)^(na)/((1 + m)^(na) - 1)

where M is the monthly payment, m is the monthly interest rate, n is 12, and a is the number of years.

This formula gives written below:

M = 3500·(.08/12)·(1 + (.08/12))^(12·2)/((1 + (.08/12))^(12·2) -1) ≈ 158.30

The total payback will be the sum of 24 of these payments is written below;

payback = 24×$158.30 = $3,799.20

5 0
2 years ago
Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one sam
kogti [31]

Answer:

Advance tickets-$15

Same-day tickets-$20

Step-by-step explanation:

let x be the cost of advance tickets and y cost of same-day tickets:

x+y=35\ \ \ \ \  \ \ ...i

Given that there were 40 advance and 25 same-day tickets for a total of $1100:

40x+25y=1100\\\\8x+5y=220\ \ \ \  \ \ \ \ \ \ \ ...ii

#Make x the subject in i and substitute in ii:

x=35-y\\\\\therefore 8x+5y=220, x=35-y\\\\8(35-y)+5y=220\\\\280-8y+5y=220\\\\60=3y\\\\y=20\\\\x=35-y=35-20=15

Hence, advance tickets cost $15 each while same-day tickets cost $20 each.

5 0
3 years ago
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