How do I find X in this problem

Answer:

Rs 968

Step-by-step explanation:

Given :-

To Find :-

Solution :-

We know CI as ,

> CI = P ( 1 + R/100)ⁿ

> CI = Rs 800 ( 1 + 10/100)²

> CI = Rs 800 × 11/10 × 11/10

> CI = Rs 968 .

Answer:

372 shares

Step-by-step explanation:

Let

x = shares owned before the split

Share after split : share before split = 5 : 1

Share after split : share before split = 1,860 : x

Equate both ratios

5 : 1 = 1,860 : x

5/1 = 1,860/x

Cross product

5 * x = 1 * 1,860

5x = 1,860

x = 1,860/5

x = 372

x = shares owned before the split = 372 shares

Answer:

Tan A = [tex]\frac{21}{35}[/tex] = [tex]\frac{3}{5}[/tex] = .6

Step-by-step explanation:

SOH CAH TOA

Sin Ф = [tex]\frac{O}{H}[/tex]

Cos Ф = [tex]\frac{A}{H}[/tex]

Tan Ф = [tex]\frac{O}{A}[/tex]

Yes

Replace x in the equation with the x in the solution and see if t equals the y in the solution:

Y = 7-5 = 2

The answer is yes.

Answer:

B

Step-by-step explanation:

Two negatives is a positive, and you want your outcome to be a positive x, therefore b is the correct answer.

Answer:

second one

A negative multiplied by a negative is a positive.

- (-x) is multiplication.

Answer:

M= -1

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

Rise over run.

-1/1 = -1

Answer:

vertically opposite angles

Step-by-step explanation:

supplementaries angles

The measure of angle B is 45° since option F. is correct in the given question.

Any two angles (say X & Y), are said to be supplementary when their summation (X + Y) is equal to 180°.

Angle A and Angle B are supplementary, which implies A+B=180°.

Angle B is one-third angle A, which implies

[tex]B=\frac{1}{3} A[/tex]

or, 3B = A

Using the value of A in the previous equation, we get 3B + B = 180°.

4B = 180°

or, B = 45°.

Thus, the measure of angle B is 45°. The correct answer is option F.

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Answer:

(6x-7y)(6x-7y).

Step-by-step explanation:

.

Answer:  

36x² - 84xy + 49y² =

6²x² - 2 (6x) (7y) + 7²y² =

(6x - 7y) ²

Answer.

(6x - 7y) ²

Answer:

175 cm³

Step-by-step explanation:

Volume = área * thick

Volume = 35cm² * 5cn

Volume = 175 cm³

Answer:

7cm

Step-by-step explanation:

Area = 35cm²

Length= 5cm

Width=?

A=L×B

B=A/L

B=35/5

B=7cm

Hello!

(6x + 9)/3 =

= 3(2x + 3)/3 =

= 2x + 3

Good luck! :)

Answer:

Step-by-step explanation:

We'll call the 2 numbers x and y. Starting with the last part of that first sentence "one number is 10 times the other number" can be written, in algebraic form:

y = 10x

Now on to the first statement about the numbers: "twice their sum" is 2(x + y) and "equals their product" is = xy. Putting that all together:

2(x + y) = xy and we know that y = 10x so

2(x + 10x) = x(10x) and

[tex]2(11x)=10x^2[/tex] and

[tex]10x^2-22x=0[/tex] and

x(10x - 22) = 0 so

x = 0 or 10x - 22 = 0 which makes

x equal to [tex]\frac{22}{10}=2.2[/tex]

So x = 2.2 and y = 22.

Answer:

1. False

2. True

3. True

4. False

Step-by-step explanation:

[tex]{hope it helps}}[/tex]

Answer:

Units

Step-by-step explanation:

From the value above 478.92

4 represents hundreds

7 represents tens

8 represents units

Hence the answer is units

Answer:

t = 2,3

Step-by-step explanation:

s (t) = t^2 + 2 t + 5

p (t) = 11 + 3 t

A:

s (1) = 8

s (2) = 13

s (3) = 20

s (4) = 29

Now

[tex]t^2 + 2 t + 5 = 11 t + 3t \\\\t^2 - t - 6 = 0\\\\t^2 - 3 t - 2 t - 6 = 0 \\\\(t-2)(t-3)=0\\\\t = 2, 3[/tex]

(b) The values are same at t =2 an t =3.  

Answer:

It will take 13 months for the second phone to be less expensive than the first phone.

Step-by-step explanation:

Since Sal is trying to determine which cell phone and service plan to buy for his mother, and the first phone costs $ 100 and $ 55 per month for unlimited usage, while the second phone costs $ 150 and $ 51 per month for unlimited usage, to determine how many months will it take for the second phone to be less expensive than the first phone, the following calculation must be performed:

100 + (55 x 10) = 100 + 550 = 650

150 + (51 x 10) = 150 + 510 = 660

100 + (55 x 12) = 100 + 660 = 760

150 + (51 x 12) = 150 + 612 = 762

100 + (55 x 13) = 100 + 715 = 815

100 + (51 x 13) = 150 + 663 = 813

Therefore, it will take 13 months for the second phone to be less expensive than the first phone.

Answer:

1) 100 + 55x > 150 + 51x

2) x > 12.5

3) 13

Step-by-step explanation:

Got it right on Edge :D

Answer:

Q = G

Step-by-step explanation:

We are already given that angle P = angle H

We are also given that side QP = side GH

Remember if two sides are congruent then so are their opposite angles meaning that the opposite angle of GH ( which would be angle F ) would be congruent to the opposite angle of QP ( which would be angle R )

The remaining angles would be angle q and angle g so the additional information needed would be G = Q

Answer:

(a) is 8 x 7 x 3 = 168

(b) is 8 x 7 = 56

(b2) is weird I don't know what it's asking

Answer:

FOR LETTER A

Volume of prism (expression) = Length x Width/Breadth x Height

Volume of prism (expression) = 8 units x 7 units x 3 units = 168 cubic units

FOR LETTER B

Area of the shaded base = 8 x 7 = 56 square units

Volume of prism = Area of the shaded base x Height

Volume of prism = 56 square units x 3 units = 168 cubic units

Step-by-step explanation:

To find the volume of rectangular prism, we multiply the length of the prism by the width of the prism by the height of the prism.

Volume of rectangular prism = length × width × height

To get the area of the shaded base, when the base is in rectangular shape:

Definition: Area of rectangle is the region occupied by a rectangle within it's four sides or boundaries.

The area of a rectangle depends on its sides. Basically, the formula for area is equal to the product of length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides. Hence, we can say, the region enclosed by the perimeter of the rectangle is its area. But in the case of a square, since all the sides are equal, therefore, the area of the square will be equal to the square of side-length.

Area of rectangle = Length × Breadth

A = l × b

Answer:

Step-by-step explanation:

I'll answer the question, but before I do, let me crab about the reliance on a diagram. You should never have to answer a question where you make assumptions about the diagram. It should state the the longest leg in one triangle = 2x - 4, and the hypotenuse in the larger triangle is 42, while in the smaller one it is x + 8\

Added to which you have to state that there is a ratio between the large triangle and the small one.

24/(2x - 4) = (x + 8)/42             Cross Multiply

24*42 = (x + 8)*(2x - 4)             Remove the brackets. Combine the left

1008 = 2x^2 - 4x + 16x - 32     Combine the right   and switch

2x^2 + 12x - 32 = 1008             Subtract 1008

2x^2 + 12x - 1040 = 0                Divide by 2

x^2 + 6x - 520  = 0

(x + 26)(x - 20) = 0

x = - 26 which has no meaning

x = 20 which is the answer.

2x - 4 = 2*20 - 4 = 36

x + 8 = 28

I'm not sure what you want -- the side lengths or just x.

Step-by-step explanation:

the ratio

24:2x-4=x+8:42

24/2x-4=x+8/42

24×42=(x+8)(2x-4)

1008=2x(x+8)-4(x+8)

1008=2x²+16x-4x-32

1008=2x²+12x-32

1008+32=2x²+12x

1040=2x²+12x

0=2x²+12x-1040

OR

24/2x-4=x+8/42

LCM=42(2x-4)

42(2x-4)×24/2x-4=42(2x-4)×x+8/42

42×24=(2x-4)(x+8)

1008=2x(x+8)-4(x+8)

1008=2x²+16x-4x-32

1008=2x²+12x-32

1008+32=2x²+12x

1040=2x²+12x

0=2x²+12x-1040

Answer:5 units!

Step-by-step explanation:

.

The value of x will be  5 units  for the sphere that has the volume of (500/3)π cubic units.

From the formula of the volume of sphere,

volume of sphere = 4/3 πr³

where, r is the radius

in our case,

volume = (500/3)π

radius = x

substituting the given values

(500/3)π = (4/3)π *x³

x³ = 125

x= 5 units

Therefore, the value of x will be 5 units.

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Complete question:

The volume of the sphere is 500/3 π cubic units.

What is the value of x?

4 units

5 units

8 units

10 units

Answer:

-13 is the answer I think so but wait for others also because my could be wrong

Answer:

25

Step-by-step explanation:

you can find the middle number by solving for the mean/average

20+30=50

50/2=25

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{What's the middle number between 20 \& 30?}[/tex]

[tex]\mathsf{\dfrac{20+30}{2}}[/tex]

[tex]\large\textsf{20 + 30 = \bf 50}[/tex]

[tex]\mathsf{=\dfrac{ 50}{2}}[/tex]

[tex]\large\textsf{= \bf 25}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: middle number between 20 \& 30 is: \bf 25}}}\\\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Step-by-step explanation:

We'll start with going form exponential to radical, since it may be easier to follow. For example,

[tex]x^{\frac{4}{3}[/tex] can be written, in radical form, as

[tex]\sqrt[3]{x^4}[/tex]. What happens is that the denominator of the fraction serves as the index (the number that sits in the bend of the radical) and the numerator serves as the power on the variable (or number, if that's the case). Let's look at another one:

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

[tex]\sqrt[3]{4^2}=\sqrt[3]{16}=\sqrt[3]{8*2}=2\sqrt[3]2}[/tex]

And you can go the other way with it. For example,

[tex]\sqrt[5]{x^4}[/tex] becomes

[tex]x^{\frac{4}{5}[/tex], etc. Get it?

Answer:

When you're given a problem in radical form, you may have an easier time if you You can rewrite every radical as an exponent by using the following property — the top ... For example, 643/2 is easier if you write it as (641/2)3 = 83 = 512 rather than (643)1/2,  Rewrite the entire expression using rational exponents.

The top right quadrant is quadrant 1.

The top left quadrant is quadrant 2.

The bottom left quadrant is quadrant 3.

The bottom right quadrant is quadrant 4.

Therefore, point D is in the fourth quadrant.

Answer:

It's letter D.

Step-by-step explanation:

3.14÷60×50= 2.61 but you have to opposite remember if the number is a little number you have to opposite and that is the answer 6.2 but do not joy like this . so the real answer is 62

Answer:

sorry i cannot help you

Answer:

1) 25

2) 2

3) f(g(1)) = 42

Step-by-step explanation:

1) Given that f(x) = 4x^2  + 9

If x = -2

f(-2) = 4(-2)^2 + 9

f(-2) = 4(4) + 9

f(-2) = 16 + 9

f(-2) = 25

2) Given that f(x) = 4x - 6

y = 4x - 6

Replace y  with x

x = 4y - 6

MAke y the subject of the forfmula

4y = x+ 6

y = (x+6)/4

SInce x = 2

f^(-1)(2) = (2+6)/4

f^(-1)(2) = 8/4 = 2

3) If f(x) = 6x and g(x) = x+6

f(g(x)) = f(x+6)

f(x+6) = 6(x+6)

Since x = 1

f(g(1)) = 6(1+6)

f(g(1)) = 6(7)

f(g(1)) = 42

Answer:

B -1/3

Step-by-step explanation:

The value of x that makes this equation true is x = -2

We have the equation:

-12x - 2(x + 9) = 5(x + 4)

To solve it, we need to isolate x on one side of the equation:

-12x - 2x - 18 = 5x + 20

-12x - 2x - 5x = 20 + 18

-19x = 38

x = 38/-19 = -2

The value of x that makes this equation true is x = -2

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Answer:

Step-by-step explanation:

I'm assuming you need the age of the bowl. Start with the fact that you have remaining 28% of the original amount before any of it decayed. You always start with 100% of something unless you're told differently. That means that the equation looks like this:

[tex]28=100e^{-.0001t}[/tex] and begin by dividing both sides by 100 to get

[tex].28=e^{-.0001t}[/tex] . To solve for t we have to be able to bring it down from its current position of exponential. To do this we would either take the log or the natural log since the rules for both are the same. However, the natural log is the inverse of e, so they undo each other. We take the natural log of both sides which allows us to pull down the -.0001t. At the same time remember that the natural log and e are inverses of each other so they are both eliminated when we do this.

ln(.28) = -.0001t Now it's easy to solve for t.

[tex]\frac{ln(.28)}{-.0001}=t[/tex] and

[tex]\frac{-1.272965676}{-.0001}=t[/tex] so

t = 12729.65676 years or rounded, 12730 years.