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2 years ago

2/3y + k = j. Solve for y

Mathematics

1 answer:

iVinArrow [24]2 years ago

7 0

The value of y from the expression is y = 3/2(j-k)

<h3>Subject of formula</h3>

Given the expression below

2/3y + k = j.

Subtract k from both sides

2/3y = j - k

Divide both sides by 2/3

(2/3y)/2/3 = (j-k)/(2/3)

y = 3/2(j-k)

Hence the value of y from the expression is y = 3/2(j-k)

Learn more on subject of formula here; brainly.com/question/657646

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8 = 4 - 2x<br> - 2x +5 = 17<br> 12= - 3 ( x+ 5)

max2010maxim [7]

$8 = 4 - 2x\\8 + 2x = 4\\2x = -4\\x = -2$

$- 2x +5 = 17\\-2x =12\\x = -6$

$12= - 3 ( x+ 5)\\12 = -3x -15\\-3x =27\\x= -9$

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3 years ago

Find the solutions to sin2(x) + cos(x) = 1, keeping 0 ≤ x < 2π

frozen [14]

Sin2(x) +cos(x)=1
from the relation: (sin2(x) +cos2(x) =1 )
so , sin2(x)=1-cos2(x)
by subs. in the main eqn.
1-cos2(x) + cos(x) =1
by simplify the eqn.
cos(x) -cos2(x)=0
take cos(x) as a common factor
cos(x)* (1-cos(x))=0
then cos(x)=0 && cos(x)=1
cos(x)=0 if x= pi/2
& cos(x) = 1 if x = 0 , 2*pi
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3 years ago

The prices of consumer goods do not always exactly follow the CPI. The following chart shows several consumer items, along with

zloy xaker [14]

The reasonable estimate of the current customer price index is 195. The option B is the correct option.

<h3>Customer price index</h3>

Customer price index is the price index which measures the weight average of price of basket of customers goods or services.

It can be given as,

$\rm CPI_t=\dfrac{C_t}{C_0}\times 100$

Here $\rm C_t$ is the cost of market basket in current period and $\rm C_0$ is the cost of market basket in the base period.

Cost of market basket in current period is

$\rm C_t=15.66+119.75+23.99+37.50\\\\C_t=196.9$

Cost of market basket in 1983 is,

$\rm C_0=8.85+71.25+13.95+22.7\\\\C_0=116.8$

Substitute all the values in the formula

$\rm CPI_t=\dfrac{C_t}{C_0}\times 100\\\\\rm CPI_t=\dfrac{196.9}{116.8}\times 100\\\\\rm CPI_t=1.685\times 100 \\\\ CPI_t=168.5\\\\\rm CPI_t= 170 \ \rm approx$

Thus the value of current CPI is 168.5 which is near about the 170.

Hence, the reasonable estimate of the current customer price index is 195. The option B is the correct option.

Learn more about the customer price index here;

brainly.com/question/25495502

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2 years ago

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tatyana61 [14]

Answer:

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The confirmed correct answer is -9%. Trust me.

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3 years ago

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