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Arte-miy333 [17]
2 years ago
5

Arrange the systems of equations that have a single solution in increasing order of the x-values in their solutions. 2x + y = 10

x − 3y = -2 x + 2y = 5 2x + y = 4 x + 3y = 5 6x − y = 11 2x + y = 10 -6x − 3y = -2
Mathematics
2 answers:
Sladkaya [172]2 years ago
4 0

Answer: 4,0,2

Step-by-step explanation:

s344n2d4d5 [400]2 years ago
4 0

Answer: IN ORDER

x + 2y = 5

2x + y = 4

This equation equals to <em><u>x = 1</u></em><u> and y = 2</u>

x + 3y = 5

6x - y = 11

This equation equals to<u> </u><em><u>x = 2</u></em><u> and y = 1</u>

2x + y = 10

x - 3y = -2

This equation equals to<u> </u><em><u>x = 4</u></em><u> and y = 2</u>

Step-by-step explanation:

It obvously <u>cannot</u> be:

2x + y = 10

-6x - 3y = -2

Because this equation has <u>NO SOLUTION.</u>

<u />

<u />

<u />

Hope this helps! Mark me as Brainliest, Give Me 5 Stars, and have a wonderful day!

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Dima020 [189]
That "ad^3" bothers me; I'm not sure what you mean here.

I'm going to assume that you have     (1/4*a*d^3)^2.

If that's the case, then you have (1/4)^2 * a^2 * d^6 = (1/16)*a^2*d^6.

If this is not what you were hoping for, double check to ensure that you have copied down this problem exactly as it was presented.


7 0
2 years ago
Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack.
sattari [20]

Answer:

Solutions: (2,10), (4,5)

Not solutions: (1,12), (6,10), (12,8), (18,6)

Step-by-step explanation:

Let x be the number of packages of pasta and y be the number of jars of pasta sauce. If pasta costs $1 for a 1-pound package, then x packages of pasta cost $x and weigh x pounds. If pasta sauce costs $3 for a 1.5 pound jar, then y jars cost $3y and weigh 1.5y pounds.

1. Tyler has $36, then

x+3y\le 36.

2. Tyler can carry up to 20 pounds of food in his backpack, then

x+1.5y\le 20.

You get the following system of inequalities:

\left\{\begin{array}{l}x+3y\le 36\\ x+1.5y\le 20\end{array}\right.

Now substitute the coordinates of each point:

<u>(1,12):</u>

\left\{\begin{array}{l}1+3\cdot 12=37> 36\\ 1+1.5\cdot 12=19\le 20\end{array}\right.

False, because first inequality doesn't hold.

<u>(2,10):</u>

\left\{\begin{array}{l}2+3\cdot 10=32\le 36\\ 2+1.5\cdot 10=17\le 20\end{array}\right.

True, both inequalities hold.

<u>(4,5):</u>

\left\{\begin{array}{l}4+3\cdot 5=19\le 36\\ 4+1.5\cdot 5=11.5\le 20\end{array}\right.

True, both inequalities hold.

<u>(6,10):</u>

\left\{\begin{array}{l}6+3\cdot 10=36\le 36\\ 6+1.5\cdot 10=21> 20\end{array}\right.

False, because secondt inequality doesn't hold.

<u>(12,8):</u>

\left\{\begin{array}{l}12+3\cdot 8=36\le 36\\ 12+1.5\cdot 8=24> 20\end{array}\right.

False, because second inequality doesn't hold.

<u>(18,6):</u>

\left\{\begin{array}{l}18+3\cdot 6=36\le 36\\ 18+1.5\cdot 6=27> 20\end{array}\right.

False, because second inequality doesn't hold.

7 0
3 years ago
Find the x- and y-intercept of, y = 1/2x - 7
Arturiano [62]
Y-intercept is (0,-7) x-intercept is (14,0)
7 0
2 years ago
Six friends share 4 apples equally. How much
zvonat [6]
4 divided by 6 is 0.6666666667
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2 years ago
Question 4 pleaseeeeeee
arsen [322]

Answer:

B

Step-by-step explanation:

Unit rate means one quantity in terms of another unit quantity. In the answer choices, we see that the denominator is always in terms of UNIT LITERS (1 L), so that means, we have to find gallons in terms of UNIT LITERS.

It means, we have to divide gallons by liters to get in terms of unitary liters.

Let's check the first line:

19.5/75 = 0.26 Gallons / 1 Liter

Now, checking 2nd:

39/150 = 0.26 Gallons / 1 Liter

So, yes, they are the same and other 2 lines would be the same as well. The unit rate is:

0.26 gal/1L

That's answer choice B

7 0
2 years ago
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