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3 years ago

What is the combine like terms of 3(12x-x

Mathematics

1 answer:

steposvetlana [31]3 years ago

7 0

Step-by-step explanation:

33x

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A trader sold a radio set for 72.00 making a profit of 8% .Find , correct to the nearest ghana cedis ,the cost price for the rad

VMariaS [17]

Given:

The selling price of a ratio set = 72.00

Profit percent = 8%

To find:

The cost price for the radio set.

Solution:

Let x be the cost price for the radio set.

Radio set is sold at 8% profit.

$\text{Selling price}=x+\dfrac{8}{100}x$

$\text{Selling price}=x+0.08x$

$\text{Selling price}=1.08x$

The selling price of a ratio set is 72.00.

$72=1.08x$

$\dfrac{72}{1.08}=x$

$x=66.666...$

$x\approx 67$

Therefore, the cost price for the radio set is 67.

7 0

3 years ago

A random sample of the amounts for 22 purchases was taken. The mean was $42.97, the standard deviation was $22.82, and the m

Illusion [34]

Answer: a) 84 and b ) 2084

Step-by-step explanation:

Given : Sample standard deviation : s= $22.82

(Population standard deviation is unknown ) , so we use t-test.

Critical value or the 95% confidence intervals : $t_{n-1}*=2.0$

Formula to find the sample size :

$n=(\dfrac{t^*\cdot s}{E})^2$

a) E = 5

$n=(\dfrac{(2)\cdot 22.82}{5})^2$

$n=(9.128)^2=83.320384\approx84$

i.e. Required sample size : n= 84

b) E = 1

$n=(\dfrac{(2)\cdot 22.82}{1})^2$

$n=(45.64)^2=2083.0096\approx2084$

i.e. Required sample size : n= 2084

8 0

2 years ago

Solve x-5/y = z for y

kogti [31]

Answer:

y=5x−z

Step-by-step explanation:

Step 1: Multiply both sides by y.

xy−5=yz

Step 2: Add -yz to both sides.

xy−5+−yz=yz+−yz

xy−yz−5=0

Step 3: Add 5 to both sides.

xy−yz−5+5=0+5

xy−yz=5

Step 4: Factor out variable y.

y(x−z)=5

Step 5: Divide both sides by x-z.

y(x−z)x−z=5x−z

y=5x−z

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2 years ago

Cos4theta+cos2theta/ cos4theta-cos2theta= _____

vovangra [49]

$\bf \textit{Sum to Product Identities} \\\\ cos(\alpha)+cos(\beta)=2cos\left(\cfrac{\alpha+\beta}{2}\right)cos\left(\cfrac{\alpha-\beta}{2}\right) \\\\\\ cos(\alpha)-cos(\beta)=-2sin\left(\cfrac{\alpha+\beta}{2}\right)sin\left(\cfrac{\alpha-\beta}{2}\right) \\\\[-0.35em] \rule{34em}{0.25pt}$

$\bf \cfrac{cos(4\theta )+cos(2\theta )}{cos(4\theta )-cos(2\theta )}\implies \cfrac{2cos\left( \frac{4\theta +2\theta }{2} \right)cos\left( \frac{4\theta -2\theta }{2} \right)}{-2sin\left( \frac{4\theta +2\theta }{2} \right)sin\left( \frac{4\theta -2\theta }{2} \right)} \implies \cfrac{cos\left( \frac{6\theta }{2} \right)cos\left( \frac{2\theta }{2} \right)}{-sin\left( \frac{6\theta }{2} \right)sin\left( \frac{2\theta }{2} \right)}$

$\bf \cfrac{cos(3\theta )cos(\theta )}{-sin(3\theta )sin(\theta )}\implies -\cfrac{cos(3\theta )}{sin(3\theta )}\cdot \cfrac{cos(\theta )}{sin(\theta )}\implies -cot(3\theta )cot(\theta )$

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3 years ago

What is the value of the expression “two less than six times the difference of a number and five" when n =

Vinvika [58]

It’s 16 because Ik I did it before so do y worry

8 0

2 years ago