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Contact [7]
3 years ago
9

Solve the following system using substitution, showing all work.

Mathematics
2 answers:
SCORPION-xisa [38]3 years ago
8 0

Answer: -3x+2y=16 equals y = 3/2x+8

2x+y=1 equals y= -2x+1

Step-by-step explanation:

neonofarm [45]3 years ago
8 0

Answer:

for the first equation the answer will be,

x =  -  \frac{2(8 - y)}{3}

if you want me to solve for y instead then the answer will be,

y =  \frac{16 + 3x}{2}

for the second equation the answer will be.

x =  \frac{1 - y}{2}

if you want me to solve for y instead then the answer will be

y =  1 - 2x

~hope this helps~

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There are three local factories that produce radios. Each radio produced at factory A is defective withprobability .02, each one
diamong [38]

Answer:

The probability is 0.02667

Step-by-step explanation:

Let's call D1 the event that the first radio is defective and D2 the event that the second radio is defective.

So, if we select both radios any factory, the probability P(D2/D1) that the second radio is defective given that the first one is defective is:

P(D2/D1) = P(D2∩D1)/P(D1)

Taking into account that 0.02 is the probability that a radio produced at factory A is defective, P(D2/D1) for factory A is:

P(D2/D1)_A=\frac{0.02*0.02}{0.02} =0.02

At the same way, if both radios are from factory B, the probability P(D2/D1) that the second radio is defective given that the first one is defective is:

P(D2/D1)_B=\frac{0.01*0.01}{0.01} =0.01

Finally, if both radios are from factory C, the probability P(D2/D1) that the second radio is defective given that the first one is defective is:

P(D2/D1)_C=\frac{0.05*0.05}{0.05} =0.05

So, if the radios are equally likely to have been any factory, the probability to select both radios from any of the factories A, B or C are respectively:

P(A)=1/3

P(B)=1/3

P(C)=1/3

Then, the probability P(D2/D1) that the second radio is defective given that the first one is defective is:

P(D2/D1)=P(A)P(D2/D1)_A+P(B)P(D2/D1)_B+P(C)P(D2/D1)_C

P(D2/D1) = (1/3)*(0.02) + (1/3)*(0.01) + (1/3)*(0.05)

P(D2/D1) = 0.02667

6 0
4 years ago
One number is four more than twice another. Their sum<br> is 34. Find the numbers.
lianna [129]

x = 15

2x + 4 = 34

     -4     -4

<u>2x</u>       = <u>30</u>

2             2

X         = 15

5 0
3 years ago
Each lap around the track is 400 meters. How many meters does someone run if they run 2 laps?
Katena32 [7]

Answer:800 meters

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
How can you use the value of x to find the measurements of the angles? PLZ HELP I WILL MARK YOU BRAINLYEST
makvit [3.9K]

Answer:

140/3 or 46.6(with the 6 repeating)

Step-by-step explanation:

(x+55)+(2x-15)=180

4 0
3 years ago
Lucy is going to walk in a fundraising event to raise money for her school band. Her mother has agreed to donate $7.50 to the sc
Readme [11.4K]

Answer: y = $7.50x + $25

Step-by-step explanation:

From the question, we are informed that Lucy is going to walk in a fundraising event to raise money for her school band and her mother has agreed to donate $7.50 to the school for each mile that Lucy walks, plus an additional $25.

The equation that represents y, the total amount of money Lucy's mother will donate if Lucy walks x miles during the event will be:

= ($.750 × x) + $25

y = $7.50x + $25

Since Lucy walks x Mike's, we multiply x by $7.50 and then add the answer to the additional $25 which is the answer gotten above.

7 0
3 years ago
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