A 700 g dry fruit pack costs ₹216 .It contains some almonds and the rest cashew kernel.If almonds cost ₹288 per kg and cashew kernel cost ₹336 per kg what are the quantities of the two dry fruits separately?​

Answer:

1. 17.27 cm

2. 19.32 cm

3. 24.07°

4. 36.87°

Step-by-step explanation:

1. Determination of the value of x.

Angle θ = 46°

Adjacent = 12 cm

Hypothenus = x

Using cosine ratio, the value of x can be obtained as follow:

Cos θ = Adjacent /Hypothenus

Cos 46 = 12/x

Cross multiply

x × Cos 46 = 12

Divide both side by Cos 46

x = 12/Cos 46

x = 17.27 cm

2. Determination of the value of x.

Angle θ = 42°

Adjacent = x

Hypothenus = 26 cm

Using cosine ratio, the value of x can be obtained as follow:

Cos θ = Adjacent /Hypothenus

Cos 42 = x/26

Cross multiply

x = 26 × Cos 42

x = 19.32 cm

3. Determination of angle θ

Adjacent = 21 cm

Hypothenus = 23 cm

Angle θ =?

Using cosine ratio, the value of θ can be obtained as follow:

Cos θ = Adjacent /Hypothenus

Cos θ = 21/23

Take the inverse of Cos

θ = Cos¯¹(21/23)

θ = 24.07°

4. Determination of angle θ

Adjacent = 12 cm

Hypothenus = 15cm

Angle θ =?

Using cosine ratio, the value of θ can be obtained as follow:

Cos θ = Adjacent /Hypothenus

Cos θ = 12/15

Take the inverse of Cos

θ = Cos¯¹(12/15)

θ = 36.87°

Answer:

x = 8

Step-by-step explanation:

x/2 + 4 = 8

x/2 = 8 - 4

x/2 = 4

x = 4*2

x = 8

Probe:

8/2 + 4 = 8

4 + 4 = 8

Answer:

x = 8

Step-by-step explanation:

Therefore, x equals 8.

Answer:

10.5

Step-by-step explanation:

[tex]2(x + 4) = 50 [/tex]

[tex]4x + 8 = 50 [/tex]

[tex]4x = 50 - 8[/tex]

[tex]4x = 42[/tex]

[tex]x = 42 \div 4[/tex]

[tex]x = 10.5[/tex]

Answer:

Simplifying

2(x + 4) = 50

Reorder the terms:

2(4 + x) = 50

(4 * 2 + x * 2) = 50

(8 + 2x) = 50

Solving

8 + 2x = 50

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + 2x = 50 + -8

Combine like terms: 8 + -8 = 0

0 + 2x = 50 + -8

2x = 50 + -8

Combine like terms: 50 + -8 = 42

2x = 42

Divide each side by '2'.

x = 21

Simplifying

x = 21

This took a long time to type and i think it is wrong but hope this helps. hint, hint.

Answer: 37.70 inches

Step-by-step explanation:

Forumla for circumference: C = 2πr

C = 2π(6)

C = 12π

C= 37.6991118431

C = 37.70 (rounded)

Answer:

your answer is a = + √105 .

Answer:

It isn't factorable.

Step-by-step explanation:

Step 1: Write out expression

-625x⁴ + 1674

From here, the expression is already simplified/factored into it's final form. There is no way to reduce this.

Answer:

Step-by-step explanation:

Since the pool is circular

Area of a circle = πr²

where

r is the radius

From the question

Area = 300 square yards

To find the radius substitute the value of the area into the above formula and solve for the radius

That's

300 = πr²

Divide both sides by π

We have

[tex] {r}^{2} = \frac{300}{\pi} [/tex]

Find the square root of both sides

That's

[tex]r = \sqrt{ \frac{300}{\pi} } [/tex]

r = 9.7720502

We have the final answer as

Hope this helps you

Answer:

$70.125

Step-by-step explanation:

First multiply $425*5.5/100*3 and you get:

$70.125

Answer:

Answer: 25

The problem is saying that f of x is equal to 13, which means you insert 13 for every x in the equation:

[tex]f(13) = 2(13) - 1[/tex]

Multiply 2 by 13 to get 26:

[tex]f(13) = 26 - 1[/tex]

Subtract 1 from 26 to get 25:

[tex]f(13) = 25[/tex]

I hope this helps. Let me know if you have any questions!

each problem will need to be devoted 3 minutes

Answer:

3 minutes

Step-by-step explanation:

3 minutes because 4x3=12 and there's 12 minutes to finish

Answer:

f(3) = 18

Step-by-step explanation:

f(a) = 2a²,

Let a = 3

f(3)= 2 * 3^2

     = 2 * 9

     = 18

Answer:

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In graphing inequalities, the first thing to do is graph the equation first irregardless of the inequality symbol. In the given problem, the equation to be graphed is f(x) = 2/9x + 3. Since it has a general form of y=mx + b, this is a linear function. Plot the graph by assigning arbitrary points of x, then you get the corresponding f(x) values. Graph the x values against the f(x) values. The blue line the attached picture will be formed.

Next, you solve the equation by finding x. Just don't mind the inequality symbol:

2/9 x + 3 > 4 5/9

2/9x > 4 5/9 - 3

2/9x > 14/9

x > 14/9 ÷ 2/9

x > 7

Hence, the value of x must be greater than 7. To show this in the graph, find the line where x=7. Create a partition using that line, then shade the rest of the portion where x is greater than 7 until infinity.

Hoped I helped

leave a like or rate please

Answer:

80.145817

Step-by-step explanation:

4√10 = 80.145817

Answer:

The correct answer choices are:

1) It is a real number

2) It is an irrational number

Step-by-step explanation:

So we have the number:

[tex]\sqrt2[/tex]

First, let's define each of the terms:

Real numbers are all of the irrational and rational numbers. If a number is irrational or rational, then they are a real number. Any number that does not include the imaginary number i is real (you'll learn this eventually. It's actually really interesting!).

Irrational numbers are the numbers that do not terminate nor repeat. Examples include π or √3. Note that numbers like 1/3 which is .3333 is not irrational because they are repeating. π, on the other hand, does not repeat and never ends.

Rational numbers are the numbers that terminate or repeat. They also include the integers, whole numbers, and natural numbers.

So, the √2. First, it's real because it doesn't deal with imaginaries.

Next, use a calculator and calculate √2. We can see that it is about 1.41423562... This number does not repeat. And it does not terminate (end). In other words, √2 is a irrational numbers.

Since it is irrational, it cannot be rational. Since it's not rational, it cannot be an integer, whole number, or a natural number.

Therefore, the correct answer choices are:

1) It is a real number

2) It is an irrational number

Answer:

[tex]\Large \boxed{\mathrm{It \ is \ a \ real \ number.}} \\ \\ \Large \boxed{\mathrm{It \ is \ an \ irrational \ number.}}[/tex]

Step-by-step explanation:

[tex]\sqrt{2}[/tex]

Real numbers includes all the rational and irrational numbers.

Not real numbers include all the imaginary numbers.

Integers includes all whole numbers that are negative, positive, or zero.

Rational numbers can be expressed as the quotient of two integers.

Irrational numbers cannot be expressed as the quotient of two integers.

[tex]\sqrt{2}= 1.41421356237......[/tex]

The result of square root of 2 keeps going on.

It cannot be expressed as the quotient of two integers.

Therefore, the square root of 2 is an irrational number.

It is a real number since it is an irrational number.

Answer: B

Step-by-step explanation: The answer would be B because both the 8x and 22x are both negative so once you add those two together you would get -30x so that cancels out A and C. SO now you move onto 23 and 9 well both of those are positive so you would add those together and get 32 so that cancels out D and only answer left is B

The equation that represents -8x + 23 – 22x + 9 = 182 after combining the like terms is b. -30x + 32 = 182 , where x = -5.

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

The given equation is,

-8x + 23 – 22x + 9 = 182

Taking alike terms together we get,

-8x – 22x + 23 + 9 = 182

Solving we get,

– 30x + 32 = 182

Subtracting 32 both the side we get,

– 30x + 32 - 32 = 182 - 32

Solving we get,

– 30x = 150

⇒ x = -5

Thus, The equation that represents -8x + 23 – 22x + 9 = 182 after combining the like terms is b. -30x + 32 = 182 where, x = -5.

To learn more about equations:

https://brainly.com/question/12720088

#SPJ2

Answer: y=(-1/2)x-6.5

Step-by-step explanation:

y=2x-6

the perpendicular to this will have the opposite reciprocal slope.

The new equation will be

y=(-1/2)x-b

--------------------------

To find the y-intercept of the equation, we should substitute the point into the equation (5,4)

y=(-1/2)x-b

4=(-1/2)×5-b

4=-2.5-b

b=-6.5

------------------------------

so the equation will be y=(-1/2)x-6.5

Answer:

b= 126°

Step-by-step explanation:

OC= OB (radius of circle)

∠OCB= ∠OBC (base ∠s isos. △)

a= 27°

b= 180° -27° -27° (∠ sum of △OBC)

b= 126°

b= 2c (∠ at centre= 2 ∠ at circumference)

c= b/2 (divide by 2 on both sides)

c= 126° ÷2

c= 63°

Answer:

x = 6 or x = -2

Step-by-step explanation:

Solve for x:

2 x^2 - 8 x - 24 = 0

The left hand side factors into a product with three terms:

2 (x - 6) (x + 2) = 0

Divide both sides by 2:

(x - 6) (x + 2) = 0

Split into two equations:

x - 6 = 0 or x + 2 = 0

Add 6 to both sides:

x = 6 or x + 2 = 0

Subtract 2 from both sides:

Answer: x = 6 or x = -2

Answer:

The Emdin family spent $19.5 on their meal

Step-by-step explanation:

Let

Juice boxes=x

BBQ sandwiches =y

The Meyers family purchased 4 juice boxes and 2 BBQ sandwiches for $16.

4x+2y=16

The Kaplinsky purchased 4 juice boxes and 3 BBQ sandwiches for $21.

4x+3y=21

4x+2y=16 (1)

4x+3y=21 (2)

Subtract (1) from 2

3y-2y=21-16

y=5

Substitute the value of y into (1)

4x+2y=16

4x+2(5)=16

4x+10=16

4x=16-10

4x=6

Divide both sides by 4

x=6/4

=1 2/4

=1 1/2

x=1.5

The Emdin family showed up late to the county fair and purchased 3 juice boxes and 3 BBQ sandwiches

3x+3y

Substitute the values of x and y

= 3(1.5)+3(5)

= 4.5 + 15

= $19.5

The Emdin family spent $19.5 on their meal

Answer:

The polynomial is -2x³ + 13x² + 3x - 54.

Step-by-step explanation:

The binomial expression is: (x - 6)

The trinomial expression is: (-2x² + x + 9)

Multiply the two expressions to determine the resulting polynomial as follows:

[tex](x-6)(-2x^{2}+x+9)=x(-2x^{2}+x+9)-6(-2x^{2}+x+9)[/tex]

                                   [tex]=-2x^{3}+x^{2}+9x+12x^{2}-6x-54\\=-2x^{3}+13x^{2}+3x-54[/tex]

Thus, the polynomial is -2x³ + 13x² + 3x - 54.

Answer:

-4.33333333333

Step-by-step explanation:

Greetings from Brasil...

To add or subtract fractions we can use the following expression:

- 5 and - 5/1 is the same

- 5 + 2/3 = - 5/1 + 2/3

(-5.3)/(1.3) + (2.1)/(1.3)

(- 15 + 2)/3

square root = 24

Step-by-step explanation:

2x2x3x3x4x4 =576

Answer:

24

Step-by-step explanation:

2x2x3x3x4x4

= 2x3x4=24

Step-by-step explanation:

The line above the letter means "complement". If X is a set, the the complement of X (denoted by X with a line above it) is the set of all things not in X...If X is a set, then the complement of X (denoted by X with a line above it) is the set of all things not in X.

Sorry if it was complicated

Answer:

Hey there!

n+19=40

  -19=-19

n=21

Let me know if this helps :)

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ n = 21}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{n + 19 = 40}[/tex]

Move 19 to right hand side and change it's sign

⇒[tex] \sf{n = 40 - 19}[/tex]

Subtract 19 from 40

⇒[tex] \sf{n = 21}[/tex]

Hope I helped!

Best regards!!

Answer:

147.5 km and 64.4 km

Step-by-step explanation:

a=120  km

b=70  km

β=28 degrees ( ∘)

b^2=(a^2)+(c^2)−2ac*cosβ  

70^2 =(120^2 )+(c^2)−2⋅ 120⋅ c⋅ cos(28∘ )  

 (c^2 ) −211.907c+9500=0  

note p, q, and r are replacement variables in the Pythagorean theorem since a, b, and c are already in use

p=1;q=−211.907;r=9500  

D=(q^2 ) −4pr=(211.907^2 )−4⋅1⋅9500=6904.75561996  

D>0  

[tex]c_{1,2}[/tex]  =   (−q±  [tex]\sqrt{D}[/tex]   )/2p=(211.91±[tex]\sqrt{6904.76}[/tex])/2

​[tex]c_{1,2}[/tex]  =105.95371114±41.5474295834  

([tex]c_{1}[/tex]−147.501140726)([tex]c_{2}[/tex]−64.4062815596)=0

[tex]c_{1}[/tex]=147.501140726  

[tex]c_{2}[/tex]=64.4062815596  

Answer:

Input value: 3

Step-by-step explanation:

If I'm understanding the question correctly it would look like this.

[tex]10 = 3x + 1[/tex]

Next: Subtract one

[tex]9 = 3x[/tex]

Divide by three to get x.

[tex]x = 3[/tex]

Step-by-step explanation:

[tex]\huge{\purple{\underline{\underline{\bf{\pink{Answer}}}}}}[/tex]

In this we have give the value of x = 10

[tex]f(x) = 3x + 1[/tex]

[tex]f(10) = 3(10) + 1[/tex]

[tex]f(10) = 30 + 1[/tex]

[tex]f(10) = 31[/tex]

so the value of x is 31

hope it helps

Answer:

Alisha's approach is simpler and less complicated

Step-by-step explanation:

Given:

(m^2*n^-3) / (m^6*n^-1)

Tyrone's approach.

(m^2*n^-3) / (m^6*n^-1)

(m^2*n^-3)^3 / (m^6*n^-1)^3

You can find the cube root of both the numerator and denominator in order to eliminate the third power

3√((m^2*n^-3)^3 / 3√(m^6*n^-1)^3

This will take us back to the original expression

(m^2*n^-3) / (m^6*n^-1)

= m^(2-6)*n^(-3+1)

= m^-4*n^-2

= 1/(m^4*n^2)

Alisha's approach.

(m^2*n^-3)/(m^6*n^-1)

= m^(2-6)*n^(-3+1)

= m^-4*n^-2

= 1/(m^4*n^2)

The approach of both of them are correct, however, Tyrone's approach will make the expression more complicated but they would still arrive at the same answer. 1/(m^4*n^2)

Answer:

-1/4

Step-by-step explanation:

take two points (0, -2) & (-4, -1)

use the slope formula

(y₂ - y₁) / (x₂ - x₁)

(-1 + 2) / (-4 - 0) = 1/-4

y = -1/4x + b

slope is -1/4