A sum of money amounts to ₹9800 after 5 years and ₹12005 after 8 years at the same rate of simple interest. What will be the rate of interest?

[Irrelevant answers will be reported]​

Step-by-step explanation:

[tex] \sin(20) = 3 \div x[/tex]

Multiply both sides with x :

[tex] x \times \sin(20) = 3[/tex]

And divide both sides with sin(20) :

[tex]x = 3 \div \sin(20) = 8.771[/tex]

Which gives us x=8,771

Answer:

AB = 6

Step-by-step explanation:

sin 20° = 3/?

[tex]\frac{1}{2}[/tex] = [tex]\frac{3}{x}[/tex]

cross-multiply: x = 6

Given:

Fabric required for each chair = 10 yards

Fabric required for each sofa = 20 yards.

Total available fabric = 300 yards.

The number of sofas must be at least twice the number of chairs.

Profit on each chair = $50

Profit on each sofa = $80.

To find:

The function that represents the manufacturer's profit, P.

Solution:

Let P represents the manufacturer's profit, x represent the number of chairs and y represent the number of sofas.

Profit on 1 chair = $50

Profit on x chairs = $50x

Profit on 1 sofa = $80

Profit on y sofas = $80y

Total profit = Profit on x chairs + Profit on y sofas

[tex]P=50x+80y[/tex]

Therefore, the required profit function is [tex]P=50x+80y[/tex].

Answer:

B on edge

Step-by-step explanation:

Answer: 109.69

Step-by-step explanation:

100-35=65

168.75 • 65= 10,968.75/ 100= 109.69

The correct answers are A) Whole number, B) Integer, and C) Rational.

The number √64 is equal to 8. It satisfies the condition √64 = 8 because 8 multiplied by itself (8 x 8) equals 64.

Based on the options provided, the correct answers are:

A) Whole number: Yes, √64 is a whole number. Whole numbers are non-negative integers, and 8 is a non-negative integer.

B) Integer: Yes, √64 is an integer. Integers are numbers that can be positive, negative, or zero without any fractional or decimal parts. In this case, 8 is a positive integer.

C) Rational: Yes, √64 is a rational number. Rational numbers can be expressed as a fraction p/q, where p and q are integers, and q is not zero. The square root of 64 can be written as 8/1, which is a fraction where both the numerator and denominator are integers.

D) Irrational: No, √64 is not an irrational number. Irrational numbers cannot be expressed as fractions and have an infinite non-repeating decimal expansion. However, √64 is a terminating decimal, as it equals 8, which means it is not an irrational number.

Therefore, the correct answers are A) Whole number, B) Integer, and C) Rational.

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Answer:

67

Step-by-step explanais the bigges number taht u could find

Answer:

39.4285714286

Step-by-step explanation:

Hope this helps and have a great day!!!

Answer:

The two column proof is presented as follows;

Statement           [tex]{}[/tex]                 Reason

1. ∠V ≅ ∠Y         [tex]{}[/tex]                  Given

2. [tex]\overline {WZ}[/tex] bisects ∠VWY    [tex]{}[/tex]     Given

3. ∠VWZ = ∠YWZ       [tex]{}[/tex]         Definition of bisection of angle

4. [tex]\overline {WZ}[/tex] ≅ [tex]\overline {ZW}[/tex]          [tex]{}[/tex]             Reflexive property

5. ΔWVZ ≅ ΔWYZ   [tex]{}[/tex]            Angle-Angle-Side congruency postulate

6. [tex]\overline {VZ}[/tex] ≅ [tex]\overline {YZ}[/tex]   [tex]{}[/tex]                      CPCTC postulate

Step-by-step explanation:

The two column proof is presented as follows;

Statement           [tex]{}[/tex]                 Reason

1. ∠V ≅ ∠Y         [tex]{}[/tex]                  Given

2. [tex]\overline {WZ}[/tex] bisects ∠VWY    [tex]{}[/tex]     Given

3. Given that ∠VWY is bisected by [tex]\overline {WZ}[/tex], therefore ∠VWY is split into two equal angles, ∠VWZ and ∠YWZ, from which we have ∠VWZ = ∠YWZ     [tex]{}[/tex]         by the definition of bisection of angle ∠WXY by [tex]\overline{WZ}[/tex]

4. By reflexive property, a line is congruent to itself, therefore, [tex]\overline {WZ}[/tex] ≅ [tex]\overline {ZW}[/tex]  

5. Given that two adjacent angles and a side adjacent to the two angles in ΔWVZ are congruent to the corresponding two adjacent angles and adjacent side in ΔWYZ,  ΔWVZ is congruent to ΔWYZ by the Angle-Angle-Side (AAS) congruency postulate

6. Given that ΔWVZ ≅ ΔWYZ, and side [tex]\overline {VZ}[/tex] of ΔWVZ is the corresponding side to side [tex]\overline {YZ}[/tex] of ΔWYZ, therefore, [tex]\overline {VZ}[/tex] is congruent to [tex]\overline {YZ}[/tex] by the Congruent Parts of Congruent Triangle are Congruent (CPCTC) postulate.

Answer:

thank you

Step-by-step explanation:

happy holidays have a good day

Answer:

thank you

Step-by-step explanation:

Answer: D. the snail’s path

Step-by-step explanation: because The author uses the most precise words to describe the snail's path.

This excerpt has been taken from Heart of a Samurai, a historical novel written by Margi Preus in 2010. Precise words such as 'shiny', 'ribbon' and 'unfurling' have been used in the second sentence to describe the path of the snail, which is a small animal that has a wet body and moves very slowly. In other words, the author describes the way the path looks by establishing a comparison between the path and a shiny ribbon.

Hope this help

Answer:

the snails path

Step-by-step explanation:

Answer:

26.92 min

if I'm not wrong!

The area of the triangle enclosed by 3 sides of a triangle is 6 cm²

The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. To find a triangle's area, use the formula area = 1/2 * base * height.

Given here: The dimensions of a triangle as 6 cm and base 2 cm

We know the area of the triangle is equal to half of the base times height,  

A=1/2×6×2

  =6 cm²

Hence, The area of the triangle enclosed by 3 sides of a triangle is 6 cm²

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Answer:

She had 9 gift bags

Step-by-step explanation:

if we divide 63 by 7 we get 9

now, if we take 9 and call that our bags that means there will be 7 party favors in each bag

Answer:

French: la somme d'un nombre inconnu et 12

Spanish: la suma de un número desconocido y 12

Latin: XII numerus ignotus est et summa

Step-by-step explanation:

Answer:

x = 49°

Step-by-step explanation:

Angles in a Triangle

The sum of the internal angles in any triangle adds up to 180°.

The figure shows a triangle that includes two angles with the same tick mark. This means they are congruent, i.e. they measure the same.

The larger triangle has three defined angles: 43°, 39°, and 2x. Since the sum of them is 180°:

43° + 39° + 2x = 180°

Operating:

82° + 2x = 180°

Subtracting 82°:

2x = 180° - 82° = 98°

x = 98°/2 = 49°

x = 49°

Answer:

[tex] \frac{ - 2}{25} \times 5[/tex]

first you multiply 2 by 5. Then you get 10 over 25. Then you simplify it. What is the common factor of both 10 and 25? Is it 2? No 2 is a factor of 10 but not 25. It's 5. After you get the common factor you divide both numbers by it. So 10/5 would be 2. 25 divide by 5 would be 5. And the negative sign remains

-2/25 x 5/1 = -10/25 = -2/5

hope this helps :}

Answer:

66+12

Step-by-step explanation:

simplified answer

Step-by-step evaluation:

-9(-8p + 12) - 6p

-9 x -8p = 72p   -9 x 12 = -108

(72p + -108) - 6p

72p + -108 - 6p

(72p + −6p) + (−108)

66p + −108

Answer:

66p−108

Identity property!

Because the identity property for addition tells us that zero added to any number is the number itself. Zero is called the "additive identity." In this case, 0 is being added to 40.

Answer:

Step-by-step explanation:

Given

To find f (-3) substitute x with -3

Step-by-step explanation:

[tex]f(x) = - {x}^{2} + 6x - 18 \\ f( - 3) = - {( - 3)}^{2} + 6( - 3) - 18 \\ = - 9 - 18 - 18 \\ = - 45[/tex]

Answer:

x = 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

17 - (3x + 5) = 3x - 6

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 3 does indeed equal 3.

∴ x = 3 is the solution to the equation.

Answer:

x = 3

Step-by-step explanation:

17 - 1(3x + 5) = 3x - 6

17 − 3 − 5 = 3x − 6

12 - 3x = 3x - 6 subtract five

-3x + 12 = 3x - 6 rearrange terms

-3x = 3x - 18 subtract twelve

-6x = 18 subtract negative three

divide by negative six

x = 3

Answer:

d

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Just took the test

Answer:

x ≈ 36.9°

Step-by-step explanation:

Using the sine ratio in the right triangle, that is

sinx = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{6}{10}[/tex] , then

x = [tex]sin^{-1}[/tex] ([tex]\frac{6}{10}[/tex] ) ≈ 36.9° ( to 1 dec. place )

Answer:

a number that can be divided by another number without a remainder.

Answer:

A multiple is a number that basically can be a number that can be divided by another number without a remainder.

Answer:

B!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

The equation x = 3y + 3w - 1 can be written as in terms of x and y by making the subject w is w = (x - 3y + 1)/3 option (B) is correct.

It is defined as the combination of constants and variables with mathematical operators.

The question is incomplete.

The complete question is:

If x = 3 (y + w) -1 what is the value of w in terms of x and y?

We have an expression:

x = 3 (y + w) -1

To find the value of w in terms of x and y.

By using the distributive property:

x = 3y + 3w - 1

By arranging the equation:

3w = x - 3y + 1

Divide by 3 on both the side:

w = (x - 3y + 1)/3

Thus, the equation x = 3y + 3w - 1 can be written as in terms of x and y by making the subject w is w = (x - 3y + 1)/3 option (B) is correct.

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Answers:

Inequality is [tex]15 + p \le 44[/tex]

Choice A) 30 more passengers cannot board the plane. Only 29 more passengers can board the plane

===============================================

Explanation:

15 people are already on the plane.

p is a placeholder for a positive whole number representing the additional number of people that can get on the plane.

In total, the plane holds 15+p individuals.

This expression's largest possible value is 44. Think of it as the ceiling. In terms of math, we call it the maximum. Since at most 44 people can be on the plane, this means the inequality we'll set up is [tex]15+p \le 44[/tex]

This says "15+p is less than or equal to 44". It's the same as saying "15+p is 44 or smaller".

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

To isolate p, we subtract 15 from both sides

Doing so leads to...

[tex]15+p \le 44\\\\15+p-15 \le 44-15\\\\p \le 29[/tex]

We can see that the largest p can get is 29, meaning that at most 29 more people can board the plane. There's no way that 30 people can board. That unfortunate 30-29 = 1 person must wait for another plane.

This all shows why choice A is the answer.

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

As a way to check the answer, we can note how p = 29 leads to 15+p = 15+29 = 44. We've filled the plane to full capacity.

If p = 30, then 15+p = 15+30 = 45, and we've gone 1 seat overboard.

Answer:

x=1 ,x= -5

Step-by-step explanation:

x+2x2-4=-7x+6

2x2+x+7x-4-6=0

2x2+8x-10=0

divide through out by 2 to reduce the equation

x2+4x-5=0

by using formula method

x=[-b+\-√b2-4ac]/2a. a=1, b=4 c=-5

x=[-4+\-√4^2-4*1*-5]/2*1

x=[-4+\-√16+20]/2

x=[-4+\-√36]/2

x=[-4+\-6]/2

x=(-4+6)/2 ,x=(-4-6)/2

x=2/2 , x=-10/2

x=1 , x=-5

The number of solutions to the equation are two and Real in nature. The solutions are x = 1 and x = - 5.

We have the following quadratic equation -

x + [tex]2x^{2}[/tex] - 4 = -7x + 6

We have to determine its solutions.

The Quadratic formula is -

[tex]$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]

According to question, we have -

x + [tex]2x^{2}[/tex] - 4 = -7x + 6

Rearranging the equation -

[tex]2x^{2}[/tex] + x + 7x - 4 - 6 = 0

[tex]2x^{2}[/tex] + 8x - 10 = 0

Using the quadratic formula -

[tex]$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]

[tex]$x=\frac{-8\pm\sqrt{64-(-80)}}{4}$[/tex]

[tex]$x=\frac{-8\pm\sqrt{144}}{4}$[/tex]

[tex]$x=\frac{-8 +12}{4}[/tex]       and         [tex]$x= \frac{-8-12}{4}[/tex]

x = 1         and       x = - 5

Hence, the number of solutions to the equation are two and Real in nature. The solutions are x = 1 and x = - 5.

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Answer:

you will get 1

Step-by-step explanation:

because it can only go into its self one time

Answer:

x = 2 or 3

Step-by-step explanation:

Diagonal of a rhombus bisects the vertex angles. So,

[tex]x^{2} =5x-6[/tex]

[tex]=> x^{2} -5x + 6 = 0[/tex]

Lets factorise the eqn.

[tex]=> x^{2} - 2x - 3x + 6 = 0[/tex]

[tex]=> x (x - 2) -3(x-2)[/tex]

[tex]=> (x-2)(x-3) = 0[/tex]

Here x will have 2 values.

1) [tex]x-2=0[/tex]

[tex]=> x =2[/tex]

2) [tex]x - 3 = 0[/tex]

[tex]=> x = 3[/tex]

Answer:

142

Step-by-step explanation:

Ok explanation

we know the sides 9, 11, 38, and 13.

there are 2 missing sides we need to find

so the first one whic is the longer one is we know that the 38 is already 1 part of it but not the whole thing. We know the 9 is part of the 38 since it connects. So that gives us that side of 47.

Now for the shrter side, we know 1 part of it is 13 And the other part is 11. So we Add them up and get 24

Now the sides are 9, 11, 38, 13, 47, and 24

We add them up and get 142

Answer:

142 mi

Step-by-step explanation:

Top = 9 +38 = 47

Right Side = 13

Bottom Right = 38

11 + 9 = 20

Left Side = 24

47 + 13 +38 + 20 + 24 = 142