All categories

2 years ago

What is the value of y in terms of x in the equation 3x+y/2x =152 ? Select one: A. 72x B. 3x C. 8x D. 12x

Mathematics

1 answer:

nadezda [96]2 years ago

4 0

Answer:

The answer is: 12x

Step-by-step explanation:

I did the equation, and i got it right.

You might be interested in

F(x)+x+2 g(x)=3x^2-5<br> Find (f•g) (x).

arlik [135]

Answer:

Step-by-step explanation:

Multiply the functions.

$( x + 2)(3 {x}^{2} - 5)$

${3x}^{3} + 6 {x}^{2} - 5x - 10$

5 0

2 years ago

Evaluate the following

IRINA_888 [86]

(a) $[\frac{9}{2.6} - \frac{2.5^{2} }{2.5} ]^{2}$

Answer:

$[\frac{9}{2.6} - \frac{2.5^{2} }{2.5} ]^{2}$

= $[\frac{9}{2.6} - \frac{2.5*2.5 }{2.5} ]^{2}$

= $[\frac{9}{2.6} - \frac{2.5}{1} ]^{2}$

*canceling 2.5 in numerator and denominator*

$= [\frac{9-(2.5)(2.6)}{2.6} ]^2\\*Using L.C.M of 2.6 and 1 which comes out to be '2.6'= [\frac{9-(6.5)}{2.6} ]^2\\= [\frac{2.5}{2.6} ]^2\\*multiplying and dividing by '10'= [\frac{2.5*10}{2.6*10} ]^2\\= [\frac{25}{26} ]^2\\= \frac{25^2}{26^2}\\= \frac{625}{676}\\= 0.925$

Properties used:

Cancellation property of fractions

Least Common Multiplier(LCM)

The least or smallest common multiple of any two or more given natural numbers are termed as LCM. For example, LCM of 10, 15, and 20 is 60.

(b) $[[\frac{3x^{a}y^{b}} {-3x^{a} y^{b} } ]^{3} ] ^{2}$

Answer:

$[[\frac{3x^{a}y^{b}} {-3x^{a} y^{b} } ]^{3}] ^{2}\\$

*using $[x^{a}]^b = x^{ab}$ *

$= [\frac{3x^{3a}y^{3b}} {-3x^{3a} y^{3b} }] ^{2}$

*Again, using $[x^{a}]^b = x^{ab}$ *

$= \frac{3x^{2*3a}y^{2*3b}} {-3x^{2*3a} y^{2*3b} } \\= (-1)\frac{3x^{6a}y^{6b}} {3x^{6a} y^{6b} }\\[\tex]*taking -1 common, denominator and numerator are equal*[tex]= -(1)\frac{1}{1}\\= -1$

Property used: 'Power of a power'

We can raise a power to a power

(x^2)4=(x⋅x)⋅(x⋅x)⋅(x⋅x)⋅(x⋅x)=x^8

This is called the power of a power property and says that to find a power of a power you just have to multiply the exponents.

3 0

2 years ago

Consider the geometric sequence 16, 8, a, 2, b, ... (a) Write down the common

Artist 52 [7]

Find the common ratio by dividing.

16 / 8 = 2

8 / a = 2

2 / b = 2

The common ratio is 2.

Since we need to find the values of a and b, use the common ratio to solve for them.

8 / 2 = 4 (a)

2 / 2 = 1 (b)

Now, we know that first 5 terms.

We can solve for the 8th term using the previous terms and the common ratio.

6th term: 1 / 2 = 0.5

7th term: 0.5 / 2 = 0.25

8th term: 0.25 / 2 = 0.125

Part A: 2

Part B: a = 4, b = 1

Part C: 0.125

Best of Luck!

3 0

2 years ago

Solve for x in the diagram below

MrRissso [65]

Answer:

x=20 degrees

Step-by-step explanation:

because this is a supplementary angle, you add everything and set it equal to 180 degrees. so it would be x + 100 + 3x = 180. combine like terms to get 100 + 4x = 180. subtract 100 from both sides to get 4x = 80. divide by 4 on both sides to isolate the x and your final answer is 20. hope this helped! good luck in school xoxo

8 0

2 years ago

100 POINTS

IgorLugansk [536]

Answer:

Step-by-step explanation:

90.9^2 - 21.2^2 = b^2

8,262.81 - 449.44 = b^2

b = 88.39326897450959189749074160142

7 0

2 years ago