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Trava [24]
2 years ago
7

Can someone pleaseeeeeeeeeeeeeee help me with these questions? Thanks.

Mathematics
1 answer:
tresset_1 [31]2 years ago
8 0

the answer for y would be 7

Step-by-step explanation:

don't forget to mark brainliest

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Which of these systems of linear equations has no solution? 2 x + 8 y = 15. 4 x + 16 y = 30. 2 x minus y = 18. 4 x + 2 y = 38. 4
kvasek [131]

Answer:

The correct answer is:

4 x -3 y = 16 and

8 x -6 y = 34 are the equations that have no solution.

Step-by-step explanation:

First of all, let us have a look at the rules for a pair of lines, that have solution or no solution.

Let the equations be:

a_1x+b_1y+c_1=0 and

a_2x+b_2y+c_2=0

1. There exists exactly one solution:

\dfrac{a_1}{a_2}\neq\dfrac{b_1}{b_2}

2. There exists infinitely many solutions i.e. lines are identical.

\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}

3. There exists No solutions i.e. lines are parallel and will never intersect.

\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq\dfrac{c_1}{c_2}

Now, let us have a look at the given pair of lines:

Option a)

2 x + 8 y = 15\\4 x + 16 y = 30.

The ratio:

\dfrac{2}{4}=\dfrac{8}{16}=\dfrac{15}{30} = \dfrac{1}{2}

Hence, the lines are identical, infinite solutions.

Option b)

2 x - y = 18\\4 x + 2 y = 38

The ratio:

\dfrac{2}{4}\neq \dfrac{-1}{2}

Hence, exactly one solution.

Option c)

4 x + 7 y = 17\\8 x -14 y = 36

The ratio:

\dfrac{4}{8}\neq \dfrac{-7}{14}\\\dfrac{1}{2}\neq \dfrac{-1}{2}

Hence, exactly one solution.

Option d)

4 x - 3 y = 16\\8 x - 6 y = 34.

The ratio:

\dfrac{4}{8}= \dfrac{-3}{-6}\neq\dfrac{16}{34}\\\Rightarrow \dfrac{1}{2}= \dfrac{1}{2}\neq\dfrac{8}{17}

Hence, There is no solution.

The correct answer is:

4 x -3 y = 16 and

8 x -6 y = 34 are the equations that have no solution.

8 0
3 years ago
Read 2 more answers
A beverage is made by mixing 1 part of water with 3 parts of fruit juice. How many parts of water are mixed with 1 part of fruit
forsale [732]

Answer:

1/3

Step-by-step explanation:

for every 1 part of water there is 3 parts juice so if there's only 1 part juice it would be a 1/3

5 0
3 years ago
Read 2 more answers
Which statement describes the relationship between labor cost and time for a car repair?
Nimfa-mama [501]

Answer:

Option A is correct.

Step-by-step explanation:

As we see the graph, we can say that the correct statement is :

A.)All repairs requiring 1 hour or less have the same labor cost. We can see that the coat from 0 hours to 1 hour is $50. So, the number of hours falling in this range has the same repairing cost.

B.) Labor costs the same no matter how many hours are used for a repair. This is wrong as the graph is increasing after 1 hour.

C.) Labor costs for a repair are more expensive as the number of hours increases. This is wrong as the hours are increasing from 0.25 to 0.5 then to 0.75 but they all have the same cost.

D.)There is no cost of labor for a repair requiring less than 1 hour. This is also wrong. The cost is $50.

7 0
3 years ago
Clare used 25% less butter this month than last month when baking holiday treats. If she used 240 tablespoons of butter last mon
amm1812

Answer:

I think she used 180 tablespoons of butter this month.

Step-by-step explanation:

7 0
3 years ago
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Assume that when adults with smartphones are randomly​ selected,41 ​% use them in meetings or classes. If 5 adult smartphone use
kotegsom [21]

Answer:

0.345

Step-by-step explanation:

Use binomial probability:

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

n = 5, r = 2, p = 0.41, and q = 0.59.

P = ₅C₂ (0.41)² (0.59)⁵⁻²

P = 0.345

3 0
3 years ago
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