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matrenka [14]
3 years ago
15

Solve the system using substitution. Show your work and give your answers as an ordered pair.​

Mathematics
1 answer:
Darina [25.2K]3 years ago
6 0
Solution and answer below.

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Two numbers that will multiply to -21 and also add to 4
Alja [10]

Answer:

the numbers are 7 and -3

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Roger can run one mile in 21 minutes. Jeff can run one mile in 18 minutes. If Jeff gives Roger a 1 minute head​ start, how long
elena-14-01-66 [18.8K]

Answer:

Step-by-step explanation:

Step 1

Data of Roger,

Roger runs 1 mile in 21 minutes.

So, Rate by which Roger is running = 1/21 mile/ minute.

Let, Roger runs for x minutes.

So, total distance ran by Roger = rate * time = x/21 mile.

Step 2

Data of Jeff,

Jeff runs 1 mile in 18 minutes.

So, Rate by which Jeff is running = 1/18 mile/ minute.

As Jeff gives Roger a 1 minute head start, so Jeff will run for (x-1) minutes.

So, total distance ran by Jeff = rate * time = (x-1)/18 mile.

Step 3

Equation:

distance = distance

x/21 = (x-1)/18

18x = 21x-21

3x = 21

x = 7 minutes (Roger time)

Roger will run rt = (1/21)7= 1/3 mile

x-1 = 6 minutes (Jeff time)

Jeff will run rt = (1/18)6 = 1/3 mile

3 0
4 years ago
A firm buys 12 file cabinets at $140 each, with payment in full due in 90 days. How much must the firm deposit now to have enoug
anyanavicka [17]

Answer:

firm deposit  is $1667.50

Step-by-step explanation:

given data

buys 12 file = $140

time = 90 days

interest = 3%

solution

we get here return on money over 90 day period  is  

we know Return on 360 days = 3%

return on money over 90 day = 3% ÷ 4  = 0.75%

we consider here required amount = x

so

$140 × 12 = x (1+0.0075)

x  =  \frac{1680}{1+0.0075}

x = 1667.50

so firm deposit  is $1667.50

3 0
3 years ago
Refer to the following formula for expected payoff:
emmasim [6.3K]

Answer:

Step-by-step explanation:

From the given information:

The price reduction = 98% = 0.98

Then \  the \  expected  \ payoff  \ =  \[(probability \  of \ matching \ price \  reduction  \ *  \ size \ of \  loss  \ from \  price \  cuts \ ) \  +  \ ( \ probability \  o f \  rivals\  not \  matching  \ * \  gain \ from \  price \  cuts  )]

where;

P(rival not matching ) = (100 - 98)% = 2%

P(rival not matching ) = 0.02

The expected payoff = [(0.98 * -800) + (0.02*50000)]

The expected payoff = [( -784+ 1000)]

The expected payoff = 216

(b) Probability of rivals reducing price = 5%

= 5/100

= 0.05

∴

Probability of rivals reducing price = 1 - 0.05 = 0.95

The expected payoff = (0.05 * -6000) + (0.95 *0)

The expected payoff = -300 + 0

The expected payoff = -300

(c) Yes.

Based on answers (a) and (b), the firm should cut the price.

4 0
3 years ago
Calculate the next term in the geometric sequence that is calculated with a ratio of 19 if the current term is 38
viktelen [127]

Answer:

Step-by-step explanation:

The next term is going to be simply 38*19 = 722

The series is geometric which means that you multiply from one term to get to the next.

The ratio of 19, and the current term is 38. So to get to the next term, multiply 38 * 19

5 0
3 years ago
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