Find simple interest

Principal=rs 4000
Time :2
rate of interest :10%​

Volume of the bead = Volume of the sphere - volume of the cylindrical hole = 242.95 mm³.

Volume of the bead = Volume of the sphere - volume of the cylindrical hole

= 4/3π(4³) - π(1²)(8)

= 268.08 - 25.13

Volume of the bead = 242.95 mm³

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Answer:

147

Step-by-step explanation:

4/7 people in chairs

7/8 of chairs, rest are standing

8 empty chairs

empty chairs = 1/8

full chairs = 8 x 8

7/8 = 64.

4/7 = 64

1/7 = 64 / 4

1/7 = 21

7/7 = 21 x 7

7/7 = 147

There are 147 people in the room.

There are 147 people in the room.

The given is,

Four-sevenths of the people in a room are seated in seven-eighths of the chairs.

The rest of the people are standing.

there are 8 empty chairs, how many people are in the room in a room are seated in seven-eighths of the chairs.

The rest of the people are standing.

We have to determine there are 8 empty chairs, how many people are in the room.

Four-sevenths of the people.

4/7 people in chairs.

7/8 of the chairs, rest are standing

The 8 empty chairs,

The empty chairs = 1/8

The full chairs = 8 x 8

7/8 = 64.

4/7 = 64

1/7 = 64 / 4

1/7 = 21

7/7 = 21 x 7

7/7 = 147

There are 147 people in the room.

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it's interpreted as 28 - 21 = 7

Answer:

6.7

please give brainliest

Lets let Teddy be x.

Sister 1: x+3

Sister 2: x-7

If we subtract the younger sister (sister 2) from the older sister (sister 1), we get:

x+3 - (x-7) = x+3 - x + 7 = 10

The older sister was 10 years old when the younger sister was born.

Answer:

Bob swam 70 meters on Monday

Step-by-step explanation:

Let x = Meters swam on Monday

and y = Meters swam on Tuesday

x + y = 250

y = 250 - x

y = 3x - 30

250 - x = 3x - 30

4x = 280

x = 70

y = 180

Answer:

9

Step-by-step explanation:

the equation for the line should be:

y=9x-10

The slope of the line that passes through the point (−10,9) and (10,18) is undefined.

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

We need to find the slope of the line that passes through the point (−10,9) and (10,18)

Where x₁ - x coordinate, y₁ - y coordinate, m - slope

Slope: (18 - 9) / ( -10 + 10)

m = 9/0

So, the slope is undefined.

Hence, the slope of the line that passes through the point (−10,9) and (10,18) is undefined.

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Answer:

Step-by-step explanation:

. Volume: A measure of _space  occupied by a _three dimensional _ figure.

1. Base: The surface on which an object stands on.

1. Height: The _vertical distance from top to bottom, creates a _90° degree angle with the base.

1. Inverse Operation: The opposite of a math operation; the opposite of addition is subtraction and the opposite of multiplication is division.

1. Diameter: A straight line going from one side of a point on a circle to the other through the _center.

1. Radius: The distance from the center to the point of a circle;or half of the diameter.

Volume of a Cylinder

A cylinder is a three dimensional object with a circular base and top.

To find the volume of a cylinder we use the following formula:πr²h

Answer:

y = x - 8

Step-by-step explanation:

y = x - 8

Check your answer using (0, -8):

y = x - 8

-8 = 0 - 8

-8 = -8

This statement is true

Also, view the attached graph.

Hope this helps!

The hours worked at the babysitting job is 6 hours.

The hours worked at the barber shop is 3 hours.

Given the two linear equations:

x + y = 9 equation 1

15x + 9y = 117 equation 2

Multiply equation 1 by 9

9x + 9y = 81 equation 3

Subtract equation 3 from 1

36 = 6x

x = 6

Substitute for x in equation 1

6 + y = 9

y = 9 - 6

y = 3 hours

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Answer:

Your answer is 63

Step-by-step explanation:

First lets find the area of the rectangle:

To find the area of a rectangle your multiply the length by the width.  In this case it is 5 and 9 so..

5 x 9 = 45

Now to find the area of the triangle:

Formula for triangle: 1/2(bh)

9 is your height to find the base subtract 5 from 9:

9 - 5 = 4

Now divide that by 2:

4 / 2 = 2

2 is your base

Now we know the base and height solve:

1/2(2 x 9)

1/2(18)

18 / 2 = 9

multiply 9 by 2

9 x 2 = 18

Now add your areas to find the final area:

45 + 18 = 63

Answer:

Step-by-step explanation:

Check the picture below.

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{24+x}\\ a=\stackrel{adjacent}{24}\\ b=\stackrel{opposite}{32}\\ \end{cases}\implies (24+x)^2~~ = ~~24^2+32^2 \\\\\\ (24+x)(24+x)~~ = ~~24^2+32^2\implies \stackrel{F~O~I~L}{24^2+48x+x^2}~~ = ~~24^2+32^2 \\\\\\ 48x+x^2=32^2\implies x^2+48x-32^2=0\implies x^2+48x-1024=0 \\\\\\ (x-16)(x+64)=0\implies x= \begin{cases} 16~~\textit{\Large \checkmark}\\\\ -64 \end{cases}[/tex]

notice, we didn't use -64, since the value of "x" must be a positive value.

The measure of the arc of the sinkhole that falls within the restaurants property is -21°

Let x be the angle at the dollar store at the intersection

Now the angle of the grocery store at the intersection, y is 2/3 that of the dollar store. So, y = 2x/3

Since both x and y are supplementary,

x + y = 180°

x + 2x/3 = 180°

5x/3 = 180°

x = 180° × 3/5

x = 36° × 3

x = 108°

The gas station has the same angle at the intersection but has 88° more of the sinkhole edge to stabilize. So, the angle the gas station store subtends at the sinkhole is z = x + 88°

Also, since the grocery stores property has 2/3 of the angle in the intersection at the dollar store has, but has 5° more of the sinkhole edge to stabilize. The angle the grocery store subtends at the sinkhole is k = y + 5° = 2x/3 + 5°

Let k' be the angle subtended by the restuarant at the sinkhole.

Since the sinkhole is a circle, we have that

x + z + k + k' = 360°

x + x + 88° + 2x/3 + 5° + k' = 360°

8x/3 + 93° + k' = 360°

8x/3 + k' = 360° - 93°

8x/3 + k' = 267°

So, making k' subject of the formula, we have

k' = 267° - 8x/3

Substituting the values of the variables into the equation, we have

k' = 267° -  8 × 108°/3

k' = 267° - 288°

k' = -21°

So, the measure of the arc of the sinkhole that falls within the restaurants property is -21°

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Mr. Bartley expression of the ticket cost function is an illustration of equations

The true statement is (a) Tickets cost $52 each, and there are 25 students and 2 teachers going n trip

The equation of the total cost is given as:

Total Cost = 52 * (25 + 2)

The above can be rewritten generally as:

Total Cost = Cost per each * (Student + Teachers)

By comparison, we have:

Cost per each = $52

Students = 25

Teachers = 2

Hence, the true statement is (a) Tickets cost $52 each, and there are 25 students and 2 teachers going n trip

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Answer:

  (b)  ∠EGF ≅ ∠BDC

Step-by-step explanation:

Angles D and G are both marked with double arcs, indicating they are congruent:

  ∠EGF ≅ ∠BDC

__

Other choices:

BD is the short segment between the marked angles. It has no "decoration." EF is the longer segment with a single hash mark decoration. These are not corresponding parts, so are not congruent. There is no right angle in these triangles, so the Pythagorean theorem is not applicable.

__

CD is the longest side, with no decoration. EF is the middle-length side with a single hash mark decoration. These are not corresponding sides.

Answer:

I don't know I'm sorry soo just try to work it out if u don't know how than ask someone you know okay, ur welcome.

Answer:

y=-x-3

Step-by-step explanation:

Answer:

Area is 30cm^2 if thats what your asking

Step-by-step explanation:

Answer:

X = 5

Step-by-step explanation:

You need to use the Pythagorean theory to solve this question.

[tex] {13}^{2} = {x}^{2} + {(x + 7)}^{2} [/tex]

[tex]169 = {x}^{2} + ( {x}^{2} + 14x + 49)[/tex]

[tex]169 = 2 {x}^{2} + 14x + 49[/tex]

[tex]0 = 2 {x}^{2} + 14x + 49 - 169[/tex]

[tex]0 = 2 {x}^{2} + 14x - 120[/tex]

Now simply the equation by dividing everything by 2.

[tex]0 = {x}^{2} + 7x - 60[/tex]

[tex]0 = (x - 5)(x + 12)[/tex]

Now, you can find the possible solutions by setting each bracket to 0.

[tex]0 = x - 5[/tex]

[tex]5 = x[/tex]

OR

[tex]0 = x + 12[/tex]

[tex] - 12 = x[/tex]

However, a measurement on a triangle cannot be negative. Therefore, we can ignore -12 and say that the answer is x = 5.

Answer:

Number 3 is B

Step-by-step explanation:

B is number 3

Answer:

Lakaka 1 by Lakaka 1 vx wfs

Answer:

the first on is y=30+1.5x and megawatch is y=100+0.90x

Step-by-step explanation:  

Answer:

3t - t.t.t +3(-2t) + t

3t - t³ - 6t + t

3t - 6t + t - t³

-2t - t³

Option A is correct

Answer:

x = 11

Step-by-step explanation:

Hello!

In an isosceles triangle, the two legs are congruent by the property Base angle Theorem. It is isosceles when both angles on the base are congruent.

So, since the base is x, and the measure of one leg is 3x - 6, we know that the other leg is also 3x - 6 in length.

The equation for perimeter is :  leg + leg + base = Perimeter

We can plug in 65 for the perimeter because it's given

Solve for x:

The value of x is 11.

Answer:

Here,

n(A)={0,1,3,5,6}

n(B)={1,2,3,7}

n(AUB)=?

we know that,

AUB={0,1,2,3,5,6,7}

Step-by-step explanation:

is it okay ?

hopefully it works <3 ❣️

Answer:

0D r equals -3y

hope ts helpful

Answer:

Step-by-step explanation:

It is a polynomial. A polynomial must have the following properties (among others).

Degree: So for this example the degree is 4 + 5 = 9. Derived from 4r^4 s^5

There is one isolated - sign with 2 terms on either side of the minus sign.

Type: It is a binomial

Answer:

Question 42

area of a triangle = 1/2 × base × height

Given:

Substituting given values into the formula:

⇒ 14 = 1/2 × x × (x + 3)

⇒ 28 = (x + 3)x

⇒ 28 = x² + 3x

⇒ x² + 3x - 28 = 0

⇒ (x - 4)(x + 7) = 0

⇒ x = 4, x = -7

As length is positive, x = 4 only.

⇒ height = 4 + 3 = 7 in

⇒ base = 4 in

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Question 43

volume of a cuboid = length x width x height

Given:

Substituting given values into the formula:

⇒ 72 = 6 × (2x - 5) × x

⇒ 12 = (2x - 5)x

⇒ 12 = 2x² - 5x

⇒ 2x² - 5x - 12 = 0

⇒ (x - 4)(2x + 3) = 0

⇒ x = 4, x = -1.5

As length is positive, x = 4 only.

⇒ height = 4 in

⇒ width = 2(4) - 5 = 3 in

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Question 44

Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

Substituting given values into the formula:

⇒ (x - 7)² + x² = 13²

⇒ x² - 14x + 49 + x² = 169

⇒ 2x² - 14x - 120 = 0

⇒ x² - 7x - 60 = 0

⇒ (x - 12)(x + 5) = 0

⇒ x = 12, x = -5

As length is positive, x = 12 only.

⇒ one leg = 12 m

⇒ other leg = 12 - 7 = 5 m

You forgot to include your slope but it should just follow the form y= mx+ b. where m is your slope and b is your y-intercept.