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2 years ago

Express x in terms of y! Find the value of x when y =52(x - 3)/y =5

Mathematics

2 answers:

Rudiy272 years ago

8 0

Answer: 15 1/2

Step-by-step explanation:

m_a_m_a [10]2 years ago

5 0

Hey there!

2(x - 3) / y = 5

2(x - 3) / 5 = 5

2(x) + 2(-3) / 5 = 5

(2x - 6) 5 = 5

MULTPLY 5 to BOTH SIDES

(2x - 6)/5 * 5 = 5 * 5

SIMPLIFY IT!
2x - 6 = 5 * 5

2x - 6 = 25

ADD 6 to BOTH SIDES

2x - 6 + 6 = 25 + 6

SIMPLIFY IT!
2x = 25 + 6

2x = 31

DIVIDE 2 to BOTH SIDES

2x/2 = 31/2

SIMPLIFY IT!

x = 31/2

x = 15 1/2

Therefore, the answer should be:

x = 15 1/2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

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If y is a positive integer, for how many different values of y is RootIndex 3 StartRoot StartFraction 144 Over y EndFraction End

Lelechka [254]

The value of y will be 18 or 144.

Given information:

The given expression is $\sqrt[3]{\frac{144}{y} }$ .

It is required to find the values of y which are whole numbers.

Now, factorize 144 as,

$144=2\times2\times2\times2\times3\times3\\144=2^3\times2\times3\times3$

So, for the value of given expression to be a whole number, the value of y should be,

$2\times3\times3=18$ or 144.

For the above values of y, the given expression will be,

$\sqrt[3]{\frac{144}{y} }=\sqrt[3]{\frac{144}{18} }\\=\sqrt[3]{8} =2\\\sqrt[3]{\frac{144}{y} }=\sqrt[3]{\frac{144}{144} }\\=\sqrt[3]{1} \\=1$

Therefore, the value of y will be 18 or 144.

For more details, refer to the link:

brainly.com/question/17429689

3 0

2 years ago

Suppose a triangle has two sides of length 33 amd 37, and that the angle between these two sides is 120°. What is the length of

jeka57 [31]

Answer:

c = 60.65 cm

Step-by-step explanation:

Given that,

The two sides of a triangle are 33 cm and 37 cm.

The angle between these two sides is 120°.

We need to find the length of the third side of the triangle. Let c is the third side. Using cosine rule,

$c^2=a^2+b^2-2ab\cos C$

a = 33 cm, b = 37 cm and C is 120°

So,

$c^2=(33)^2+(37)^2-2\times 33\times 37\cos (120)\\\\c=60.65\ cm$

So, the length of the third side of the triangle is 60.65 cm.

7 0

3 years ago

What is the equation of the line that is parallel to the line y = -1/3x+4

RUDIKE [14]

Answer:

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - $\frac{1}{3}$ x + 4 ← is i slope- intercept form

with slope m = - $\frac{1}{3}$

Parallel lines have equal slopes, thus

y = - $\frac{1}{3}$ x + c ← is the partial equation

To find c substitute (6, 5) into the partial equation

5 = - 2 + c ⇒ c = 5 + 2 = 7

y = - $\frac{1}{3}$ x + 7 ← equation of parallel line

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2 years ago

What is the final amount if 1548 is increased by 5% followed by a further 6% increase?

stiv31 [10]

Answer:

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Step-by-step explanation:

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3 0

3 years ago

Express x in terms of y! Find the value of x when y =52(x - 3)/y =5​

Express x in terms of y! Find the value of x when y =52(x - 3)/y =5