80 units needed 6 units per case
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Answer:

The value of n = 4 and  

The value of x = [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

Method I:

As given, 12x -20=n (3x-5)      .........(1)

Firstly , take 12x - 20

As 12x - 20 can be written as 4(3x - 5)

∴ equation (1) becomes

4(3x - 5) = n (3x-5)

Divide the equation by (3x-5) , we get

4 = n

Method II:

As given, 12x -20=n (3x-5)

⇒12x - 20 = 3nx - 5n

⇒12x - 3nx = 20 - 5n

⇒3x(4 - n) = 5( 4 - n)

Divide the equation by (4-n) , we get

3x = 5

⇒ x = [tex]\frac{5}{3}[/tex]

∴ we get

n = 4 and  x = [tex]\frac{5}{3}[/tex]

Now, check that value of n and x satisfies the equation or not

12([tex]\frac{5}{3}[/tex]) - 20 = 4( 3([tex]\frac{5}{3}[/tex]) - 5)

⇒4(5) - 20 = 4(5 - 5)

⇒20 - 20 = 4(0)

⇒ 0 = 0

Hence , we get

The values of x and n satisfies the equation

so, we get

n = 4 and  x = [tex]\frac{5}{3}[/tex]

Answer:

x = 3

Step-by-step explanation:

(4/5)^x = 64/125​ means that 4^x / 5^x = 64/125

x can only be 3 because 4^3 = 64 and 5^3 = 125

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your Answers are:

1. 0

2. 128

Answer:

11/4

Step-by-step explanation:

2 times 4 equals 8 and plus 3 equals 11 and dem is 4 so 11/4

Answer:

[tex]\frac{11}{4}[/tex]

Step-by-step explanation:

[tex]2\frac{3}{4}[/tex]

To get an improper fraction do the multiply and add shortcut.  Do the denominator times the whole number ( 2 x 4).  You will get 8, next add 8 with 3.  You still keep the denominator, so your final result is [tex]\frac{11}{4}[/tex]

Answer: What now?

Step-by-step explanation: If this is for someone else then sorry

The value of Sin 2x if, Sin x = 2 / 5  and tan(x) > 0, is 4 √21 / 25 so, option B is correct.

Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine, cosine, and tangents are their names and acronyms (tan).

Given:

Sinx = 2 / 5  and  tan(x) > 0,

Calculate the value of tan x as shown below,

B² = 5² - 2²  (Using Pythagoras theorem)

B² = 25 - 4

B = √21

Hence, Tan x = 2 / √21

Calculate the value of Sin 2x as shown below,

Sin2x = 2 Tan x / (1 + tan² x)

Sin2x = 2 × 2 / √21 / (1 + (2 / √21)²)

Sin2x = 4 / √21 / (1 + 4 / 21)

Sin2x = 4 / √ 21 / (25 / 21)

Sin2x = 4 √21 / 25

Thus, the value of Sin2x  is 4 √21 / 25.

To know more about Trigonometry:

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Answer:

B

Step-by-step explanation:

just took it

Answer:

A

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

it just is

Answer:

8

Step-by-step explanation:

Convert to a decimal

32%

move two decimal points to the left

0.32

multiply

0.32 times 25 = 8

Answer:

mp=cp+40%of cp=140cp/100=1.4cp

discount=20%

cp=6000

mp=1.4cp=1.4×6000=8400

sp=mp-d%of mp=8400-20/100×8400=8400-1680=6720

sp with vat=sp+vat %of sp=6720+13/100×6720=6720+873.6=7593.6

Answer:

Step-by-step explanation:

The cost to manufacture a hair clip is $0.50. With a markup of 200%, what is the selling price of this hair clip?

Given data

cost to manufacture a hair clip is $0.50

markup of 200%

Required

The selling price

We know that

Mark up percent= selling-cost/cost*100

200= selling-0.5/0.5*100

200-selling= 50/0.5

200-selling= 100

selling= 200-100

selling = 100

Hence the selling price is $100

Answer:

Step-by-step explanation:

(1,3)

Answer:

the 3rd one

Step-by-step explanation:

no problemo

Answer:

(5, 1)

Step-by-step explanation:

Substitute:

[tex]3x - 7*1 = 8\\3x - 7 = 8\\3x = 15\\x = 5[/tex]

so the solution is (5, 1)

Answer:

a = 60

b = 60

c = 120

Step-by-step explanation:

For a;

a + 120 = 180

This is because angles on a straight line are supplementary

a = 180-120

a = 60

a = b = 60

This is because they are corresponding angles and corresponding angles are equal

c = 120

This is because they are alternate exterior angles and alternate exterior angles are equal

So if you solve for x using the first equation, you get: x = 5y - 5.

From there you can plug that into the second equation which would give you:

7y-5y+5=-23

Simplifying from that point, you get y = -9.

Now that you have one of the values, you can solve for x by plugging it back into the equation we made (x = 5y - 5) and getting to the answer x = -40.

Answer:

$27.12

Step-by-step:

So, we first need to learn how much money the tax is. We can find it like this

8.5 8.5x12.50

------ x 12.50 = ----------------

100 100

106.25

= ------------- = 1.0625 ~~ $1.06

100

The tax is $1.06

So now, the only thing left is to add

12.50 + 1.06 = $13.56

13.56x2 = $27.12 (for both gifts)

In total, both gifts cost $27.12 with tax.

In total, both gifts cost

Answer:

4

Step-by-step explanation:

The distance between the two points is (-1,-4) - (-5,-4)

Answer:

19) 28°

20) 60°

21) 17°

Step-by-step explanation:

19)

Supplementary angles:

(x + 12)º + 140º = 180º

x + 12 + 140 = 180

x = 180 - 140 - 12

x = 28º

20)

Angles at a point:

(- 24 + x)° + 24° + 300° = 360°

- 24 + x + 24 + 300 = 360

x = 360 - 300

x = 60°

21)

Vertically opposite angles:

(1 + 3x)° = 52°

1 + 3x = 52

3x = 52 - 1

3x = 51

x = 17°

Answer:

Infintely many solutions

Step-by-step explanation:

I'm going to assume that the capital y is equal to the lowerase y

if you subtract y and two from both sides in the second equation you get

-y=2x-2

you then divide by -1 to get it into a normal form

y= -2x+2

this is the same as the first equation, these lines are the same

The answer is 7x/12 - 1/2. Its the first option in your picture. Hope this helps .

Answer:

I believe it is four dollars

Answer:

The triangles are similar as the ratio of their corresponding sides are equal

Step-by-step explanation:

When two triangles are similar, the ratio of their corresponding sides are equal

As we can see, 85 is between 10 and 18

The ratio of the numbers will be ;

10/18 and 25/45

To the simplest terms;

5/9 and 5/9

Since the ratio is equal, then the triangles are similar

Answer:

80inches

Step-by-step explanation:

17+17=34

23+23=46

34+46=80

Answer:

no real solutions

Step-by-step explanation:

Answer:

A and C luv <3

Step-by-step explanation:

Answer:

45.56923076923077

Step-by-step explanation:

Work out 51.6 x 12 which is 619.2 and subtract that from 1804.80 then x your answer which is 1,184.8 and divide by 26 to get your answer which is 45.569....