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3 years ago

Help please? match each system of linear equation with the correct numbers of solutions

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

4 0

Answer:

Step-by-step explanation:

First system: no solution, since the two lines are parallel; they never cross.

Second system: one solution

Third system: infinitely many solutions, since the second equation is a multiple of the first

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You and your best friend decide to go to dinner at Chickfila. You each

svetoff [14.1K]

Answer:

= $28.90

Step-by-step explanation:

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3 years ago

Find two solutions to each equation in the interval -90°<θ<270°

UkoKoshka [18]

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3 years ago

Joe can cut and split a cord of firewood in 3 fewer hours than Dwight can. When they work together, it takes them 2 hours. How

aalyn [17]

Answer:

Dwight will take 6 hours to finish the job alone and Joe will take 3 hours to finish the job alone.

Step-by-step explanation:

Let us assume the time taken by Dwight to split a cord of firewood = K hrs

So, the per hour rate of Dwight = $(\frac{1}{K})$

As, Joe uses 3 LESS hours then Dwight.

So, the time taken by Joe to split a cord of firewood = (K- 3) hrs

So, the per hour rate of Joe = $(\frac{1}{K-3})$

Now, when both of them wok together, it takes them 2 hours.

So, the per hour rate of BOTH of them = $(\frac{1}{2})$

⇒ Per hour rate of ( Dwight + Joe) = $(\frac{1}{2} )$

$\implies (\frac{1}{K}) + (\frac{1}{K-3}) = (\frac{1}{2})$

Now, solving for the value of K , we get:

$(\frac{1}{K}) + (\frac{1}{K-3}) = (\frac{1}{2})\\\implies \frac{(K-3) + K}{K (K-3)} = (\frac{1}{2})\\\implies 2(2K -3) = K^2 - 3K\\\implies k^2 - 3K -4K +6 = 0\\\implies K^2 - 7K + 6= 0\\\implies K^2 - 6K - K + 6= 0\\\implies K(K-6) -1(K - 6)= 0\\\implies (K-6)(K-1) = 0$

Implies either K = 6 Or K = 1

But if K = 1, (K-3) = 1- 3 = -2 hours would be A CONTRADICTION.

⇒ K = 6 hours

Hence, Dwight will take 6 hours to finish the job alone and Joe will take (k-3) = (6-3) = 3 hours to finish the job alone.

8 0

3 years ago

after spending 80% of her daily allowance, Ola found out she had 25k left. How much was her total allowance?

Anestetic [448]

Answer:

31.25 k

Step-by-step explanation:

80 % * x = 25 k

.80 x = 25 k

x = 25 k / .80 = 31.25 k

8 0

2 years ago

How many square feet of outdoor carpet will we need for this hole?

Gwar [14]

Answer: 66 sq ft

Step-by-step explanation:

Break up the shape into three separate shapes

8 * 3 = 24 for the rectangle

There are 2 triangles

The formula for the area of a triangle is 1/2(b)(h)

1 of the triangles has a base of 4 and height of 12

1/2(4)(12) = 24

The other triangle has a base of 3 and height of 12

1/2(3)(12) = 18

24 + 24+ 18 = 66

5 0

3 years ago

Help please? match each system of linear equation with the correct numbers of solutions ​

Help please? match each system of linear equation with the correct numbers of solutions