Mr. Brown is creating examples of systems of equations. He wants to have a system of equations with infinite solutions that includes the equation 5x + 2y = 8. Which equation could Mr. Brown use to complete the system so that it has infinite solutions?2x + 5y = 8
15x + 6y = 21
1.25x +0.5y = 2
6.5x + 3.5y = 9.5

Answers

Answer 1

Answer: In order to have a system of equations with infinite solutions, the equations must be equivalent. Two equations can be tested if they are equivalent by manipulating the equations such that they have equal coefficients for x or y.
We can take the coefficient of x as an example.

First, we reduce the coefficient of x of the given equation to 1 to make it simpler. We divide the whole equation by 5 and we get:
x + (2/5) y = 8/5

We do the same to the given options of equations.
We divide equation 1 with 2, equation 2 with 15, equation 3 with 1.25 and equation 4 with 6.5.
Compare the result with the given equation divided by 5 or x + (2/5) y = 8/5 and if it is the same, then the two equation are equivalent.

The third option: 1.25x +0.5y = 2 will give you the same equation.

Answer 2

Answer:

Answer:

C.)1.25x +0.5y = 2

Step-by-step explanation:

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What is the value of the second 6 6.56

Answers

The value of the second 6 in 6.56 is 6 hundredths

(5+2yi)(4-3i) - (5-2yi)(4-3i) in a + bi form, where y is a real number.

Answers

(5+2yi)(4-3i) - (5-2yi)(4-3i)

Factorize out (4 - 3i)

(4 -3i)( (5 + 2yi) - (5 -2yi) )

(4 -3i)(5 + 2yi - 5 + 2yi)

(4 -3i)(5 - 5 + 2yi + 2yi)

(4 -3i)4yi

4*4yi - 4yi*3i

= 16yi - 12yi². i² = -1

= 16yi - 12y(-1)

= 16yi + 12y

= 12y + 16yi in the form a + bi.

$(5+2yi)(4-3i) - (5-2yi)(4-3i)=\n(4-3i)(5+2yi-5+2yi)=\n(4-3i)\cdot4yi=\n16yi+12y=\n12y+16yi$

Explaining How to Compare Water Levels Ericka decided to compare her observation to the average annual trend, which shows the water rising 1.8 mm/year. Remember, she used 6.2 years as her time period. Explain how she would calculate the difference between how much water levels rose on average and how much the water level fell in the part of the river she observed.

Answers

Step-by-step explanation:

Below is an attachment containing the solution

Answer: She would multiply the rate by the years to find the average rise in water levels, or 1.8 times 6.2 = 11.16. To find the difference between the water levels, she would subtract -13.64 from 11.16.

Step-by-step explanation:

At the post office, Karen mails three packages that weigh 7.2, 7.5, and 7.9 pounds. The post office that Karenuses rounds the weight of a package to the nearest pound to determine the price of shipment. It costs $3 to
mail a package that weighs 7 pounds and $3.75 for packages that weigh 8 pounds.
(a) How much did Karen pay to ship each package?
(b) Karen has $10.25 in her wallet in cash. Use subtraction to determine whether Karen has enough to
mail the three packages and how much extra money she has or needs.

Answers

rounding
7.2 to 7
7.5 to 8
7.9 to 8

7 and 8 and 8

3+3.75+3.75=10.50

she has 10.25
10.25-10.50=-0.25
she is 0.25 short

Star QuestionMrs Jenkins is organising a charity raffle.She sells 300 tickets for £3 each.The probability that someone wins a prize is 0.2Each prize cost £8The profit is donated to charity.Work out how much monev Mrs Jenkins donates to charity.

Answers

Mrs. Jenkins donate £420 to charity.

What is Unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the singleunit value

We have,

Mrs. jenkins sold= 300 tickets for £3 each

The price of total tickets sold=300x3=900

As, The probability that someone wins a prize is 0.2.

So, 300 /0.2

= 60

Each prize cost £8.so,

=60x8

=480

Thus,

900-480=420

Hence, Mrs Jenkins would give £420 to charity.

Learn more about unitary method here:

brainly.com/question/22056199

#SPJ2

300x3=900
300 divided by 5 (0.2 as a fraction 1/5) is 60
60x8=480
900-480=420
Mrs Jenkins would give £420 to charity

hope this helps :)

What mathematics concepts or principles did you apply to come up with the solution of each equation? explain how you applied these.please help me .....

Answers

You need to look at the question again, and notice the words "... did you ...".
From those words, it's clear that the question comes AFTER you have solved
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The only way for YOU to answer this question is to solve the equations first.

And if you want someone ELSE to tell the math concepts and principles that
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