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fomenos
3 years ago
9

For which equation is (4, 3) a solution? y = 2x – 1 y = 3x – 4 y = 2x – 5 y = x + 3

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
4 0

Answer:

The third (y=2x–5)

Step-by-step explanation:

y=2x–5

if we substitute then:

3=2(4)–5

3=8–5

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Suppose that 5 workers can complete a certain task in 9 days. If there are 15 workers, how many days would
Marat540 [252]

Answer:

3 days would take the 15 workers to finish the same task

Step-by-step explanation:

  • In the questions of doing a job, the number of workers and the time are in an inverse proportional because if the number of workers is increased, then the time of finishing the job will decrease and vice versa
  • The relation between the number of workers and the time to finish any job is N × T = K, where, N is the number of workers, T is the time to finish the job, and K is constant

Let us use this relation to solve the question

∵ 5 workers can complete a certain task in 9 days

∴ N = 5 workers and T = 9 days

→ By using the relation above

∴ 5 × 9 = k ⇒ (1)

∵ If there are 15 workers will make the same task

∵ They can finish it in x days

∴ N = 15 workers and T = x days

→ By using the relation above

∴ 15 × x = k ⇒ (2)

∵ k is the same task, then equate the left sides of (1) and (2)

∴ 15 × x = 5 × 9

∴ 15x = 45

→ Divide both sides by 15 to find x

∴ x = 3 days

∴ 3 days would take the 15 workers to finish the same task

3 0
3 years ago
Which number must be added to 17,362 to result in a sum of 26,489? *
Kipish [7]

Answer: 9,127

pls mark me as brainliest

6 0
3 years ago
1/5 (4-3x) = 1/7 (3x - 4) pls solve
natulia [17]

\huge \boxed{\mathfrak{Question} \downarrow}

  • \large\sf\frac{1}{5} (4 - 3x) =  \frac{1}{7} (3x - 4) \\

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

\frac{1}{5} (4 - 3x) =  \frac{1}{7} (3x - 4) \\

Use the distributive property to multiply 1/5 by 4-3x.

\frac{1}{5}\times 4+\frac{1}{5}\left(-3\right)x=\frac{1}{7}\left(3x-4\right)  \\

Multiply 1/5 and 4 to get 4/5.

\frac{4}{5}+\frac{1}{5}\left(-3\right)x=\frac{1}{7}\left(3x-4\right)  \\

Multiply 1/5 and -3 to get -3/5.

\frac{4}{5}+\frac{-3}{5}x=\frac{1}{7}\left(3x-4\right)  \\

Use the distributive property to multiply 1/7 by 3x-4.

\frac{4}{5}-\frac{3}{5}x=\frac{1}{7}\times 3x+\frac{1}{7}\left(-4\right)  \\

Multiply 1/7 and 3 to get 3/7 & 1/7 × -4 to get -4/7.

\frac{4}{5}-\frac{3}{5}x=\frac{3}{7}x-\frac{4}{7}  \\

Subtract \frac{3}{7}x\\ from both sides.

\frac{4}{5}-\frac{3}{5}x-\frac{3}{7}x=-\frac{4}{7}  \\

Combine -\frac{3}{5}x\\ and -\frac{3}{7}x\\ to get -\frac{36}{35}x\\.

\frac{4}{5}-\frac{36}{35}x=-\frac{4}{7}  \\

Subtract 4/5 from both sides.

-\frac{36}{35}x=-\frac{4}{7}-\frac{4}{5}  \\

The least common multiple of 7 and 5 is 35. Convert -4/7 and 4/5 to fractions with denominator 35.

-\frac{36}{35}x=-\frac{20}{35}-\frac{28}{35}  \\

Because -\frac{20}{35} \\ and \frac{28}{35}\\ have the same denominator, subtract them by subtracting their numerators.

-\frac{36}{35}x=\frac{-20-28}{35}  \\

Subtract 28 from -20 to get -48.

-\frac{36}{35}x=-\frac{48}{35}  \\

Multiply both sides by -\frac{35}{36}\\, the reciprocal of -\frac{36}{35}\\.

x=-\frac{48}{35}\left(-\frac{35}{36}\right)  \\

Multiply -\frac{48}{35}\\ by -\frac{35}{36}\\ by multiplying the numerator by the numerator and the denominator by the denominator.

x=\frac{-48\left(-35\right)}{35\times 36}  \\

Carry out the multiplications in the fraction \frac{-48\left(-35\right)}{35\times 36}\\.

x=\frac{1680}{1260}  \\

Reduce the fraction 1680/1260 to its lowest terms by extracting and cancelling out 420.

\huge \boxed{ \boxed{ \bf \: x=\frac{4}{3}  \approx \: 1.33}}

3 0
3 years ago
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Which line is parallel to the line 8x + 2y = 12?
Gnoma [55]

Answer

its C, i just answered it

7 0
3 years ago
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