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White raven [17]
3 years ago
15

What is the y-value of the solution to the system of equations?

Mathematics
2 answers:
dimaraw [331]3 years ago
7 0

Answer:

y = 2

Step-by-step explanation:

3x + 5y = 1

7x + 4y = −13

We will use the elimination method to eliminate the x variable. Then we will solve for y. We need the coefficients of the x-terms in the two equations to be additive inverses, so they will add to zero, eliminating x.

Multiply both sides of the first equation by -7, and multiply both sides of the second equation by 3.

-21x - 35y = -7

21x + 12y = -39

Now add the equations to eliminate x.

-23y = -46

Divide both sides by -23.

y = 2

Julli [10]3 years ago
4 0

The answer is y=2 !!!!!!!!!!!!!!

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While shopping Marcy spent $59. If the amount she spent is 25% of her savings, how much savings did she have before she shopped
aliya0001 [1]

Answer:

Savings= $236

Step-by-step explanation:

Giving the following information:

Money spent= $59

Proportion of savings= 25% = 0.25

<u>To calculate the total savings before shopping, we need to use the following formula:</u>

Savings= money spent / proportion of savings

Savings= 59 / 0.25

Savings= $236

7 0
3 years ago
1) A family consisting of three persons—A, B, and C—goes to a medical clinic that always has a doctor at each of stations 1, 2,
crimeas [40]

Answer:

Step-by-step explanation:

Let us record the station number 1, 2 or 3 for each family member A, B or C.

I am attaching a table containing total outcomes. Outcomes are presented along rows while the assigned station to each member is written along columns. For ease of understanding, 1 3 2 in the table should be interpreted as family member A being assigned to station 1, member B to station 3 and member C to station number 2, respectively.

From table it is clear that the total outcomes possible are 27.

We know that, probability can be defined as,

PROBABITILY = \frac{NUMBER\;OF\;DESIRED\;OUTCOMES}{TOTAL\;NUMBER\;OF\;OUTCOMES}

a) All Members Assigned to the Same Station.

Cases for all members being assigned to same station are as follows:

[1 1 1], [2 2 2], [3 3 3] (outcome number 1, 14 and 27 in the table).

Therefore,

PROBABILITY\;(Case\;a) = \frac{3}{27}\\\\PROBABILITY\;(Case\;a) = 0.111

b) At Most Two Members Assigned to the Same Station.

It means that maximum of 2 members can have the same station. Cases for this situation are as follows:

[1 1 2], [1 1 3], [1 2 1], [1 2 2], [1 3 1], [1 3 3], [2 1 1], [2 1 2], [2 2 1], [2 2 3], [2 3 2],

[2 3 3], [3 1 1], [3 1 3], [3 2 2], [3 2 3], [3 3 1], [3 3 2]

(outcome number 2, 3, 4, 5, 7, 9, 10, 11, 13, 15, 17, 18, 19, 21, 23, 24, 25 and 26 in the table).

Therefore,

PROBABILITY\;(Case\;b) = \frac{18}{27}\\\\PROBABILITY\;(Case\;b) = 0.666

c) All Members Assigned to a Different Station.

For this scenario, we have the following results:

[1 2 3], [1 3 2], [2 1 3], [2 3 1], [3 1 2], [3 2 1] (outcome number 6, 8, 12, 16, 20 and 22 in the table).

Therefore,

PROBABILITY\;(Case\;c) = \frac{6}{27}\\\\PROBABILITY\;(Case\;c) = 0.222

3 0
3 years ago
Rational number between -1 and 1<br>​
Nonamiya [84]

Answer:

\dfrac{-1}{2}

Step-by-step explanation:

We need to find ration numbers between -1 and 1.

Multiplying and dividing both -1 and 1 by 2.

\dfrac{-1\times 2}{2}=\dfrac{-2}{2}

and \dfrac{1\times 2}{2}=\dfrac{2}{2}

Now, the rational number between -2/2 and 2/2 is \dfrac{-1}{2}.

8 0
2 years ago
Help please! Thankyou
Soloha48 [4]

Answer:

Thus, option A is correct.

Explanation:

<u>match the proportions</u>

  • $240,000 → 60%
  • x → 100%

<u>set up a equation:</u>

\sf \dfrac{60}{100}  = \dfrac{240,000}{x}

\sf x = \$400,000

4 0
2 years ago
-2 is less than x, and 7 is greater than or equal to x
Lostsunrise [7]

Answer: Greater than

Step-by-step explanation:

Because if -2 is less than x and x is most likely 0

7 0
3 years ago
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