The simple interest on certain principal is 1/5 of the amount in 5 years, find the rate of interest.
a. 5%
b. 80%
c 6 2/3
d 10%​

Work Shown:

Use the angle bisector theorem

15/(x+2) = 20/(14-(x+2))

15/(x+2) = 20/(-x+12)

15(-x+12) = 20(x+2) .... cross multiply

-15x+180 = 20x+40

180-40 = 20x+15x

140 = 35x

35x = 140

x = 140/35

x = 4 .... answer is choice A

Answer:

4

Step-by-step explanation:

cos^-1(15/20)=41.40962212

41.40962212/2=20.70481106

tan(20.70481106)x15=5.669467097

5.669467097-2=3.669467097

3.669467097 round up

4

If a student receives a score of 80, how many questions did this student answer ... (5). Let x = the first number, and y = the second number ... If John only has 25 coins in his pocket, how many of the coins are quarters?

Answer:

Orange juice

Step-by-step explanation:

The bottle of apple juice costs 3 dollars for 2 liters, and the bottle of orange juice costs 3.99 dollars for 3 liters. To see which bottle has the better deal, we need to make the liters the same so we can compare them.

We can divide the 2 liters for 3 dollars ratio by 2 to get that 1 liter of apple juice costs 1.5 dollars, and we can divide the orange juice ratio by 3 to get that 1 liter of orange juice costs 1.33 dollars. We see that for 1 liter, orange juice is cheaper, so it is the better deal.

Answer:

Office personnel refers to the office chief, sectional chiefs and assistants that carry out all the administrative as well as clerical functions jointly to archive the objectives of an organization.

Let the height of the rectangle = h

2b + 2h = 100

2(38) + 2h = 100

2h = 100 - 76

h = 12mm

area of rectangle = base x height

= 38 x 12

= 456mm²

Answer:

456mm²

Step-by-step explanation:

using formula;

b/2( P - 2b) = A

substitute values

Answer:

a) A shopkeeper marked the price of an article a certain percentage above the cost price and he allowed 16% discount to make 5% profit. If a customer paid Rs 9.492 with 13% VAT to buy the article, by what percent is the marked price above the cost of the price article? (I hope this helps)

Answer:

y = −14x + 3

Step-by-step explanation:

Parallel lines have the same slope

The equation y = −14x + 7 is put in slope intercept form ( y = mx + b )

Where m = slope

-14 takes "m's" place meaning that the slope = -14

If parallel lines have the same slope than the equation of a line parallel to y = −14x + 7 must have a slope of -14

The only equation that has a slope of -14 is D

Answer:

44

Step-by-step explanation:

5+8/4*3

5+24/4

20+24

44

Answer:

52.95x + 39.95(12)

Step-by-step explanation:

Answer:

52.95 x + 39.95 (12)

Step-by-step explanation:

cost per movie = 52.95

a monthly subscription is 39.95 and there are 12 months in a year so it would be 39.95 x 12

the x would be dependent on the amount of movie rentals and therefore the cost of the rentals = 52.95 x

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]h(10) \text{- the altitude of the hot air balloon after 10 minutes.}\\\\\boxed{h(10)=60}[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

⸻⸻⸻⸻

[tex]\boxed{\text{Evaluating the function...}}\\\\h(t) = 210 - 15t; \text{ } h(10)\\-------------\\\rightarrow h(10) = 210 - 15(10)\\\\\rightarrow h(10)=210 - 150\\\\\rightarrow \boxed{h(10) = 60}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

The size is not preserved in B. dilation

Translation happens when we move the image without changing anything in it. Hence the shape, size, and orientation remain the same.

A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.

Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape. But there is a difference in the size of the shape.

Rotation means the circular movement of an object around a centre. It is possible to rotate different shapes by an angle around the centre point.

Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system.

Hence,The size is not preserved in B. dilation

More about translation :

https://brainly.com/question/1761538

#SPJ2

Answer:

4 miles

Step-by-step explanation:

120min/12miles

10min/1mile

40min/4miles

The number of miles can she run, going at the same rate will be 4 miles. Then the correct option is C.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

Ingrid usually runs 12 miles in 2 hours.

2 hours = 120 minutes

Then the speed will be

Speed = 12 / 120

Speed = 0.1 miles per minutes

If she only has 40 minutes to run today.

Then the number of miles can she run, going at the same rate will be

Distance = 0.1 x 40

Distance = 4 miles

Then the correct option is C.

More about the speed link is given below.

https://brainly.com/question/7359669

#SPJ2

Answer:

b) 2 Km para o leste

Step-by-step explanation:

1. 2 km N

2. 2 km W

3. 1 km S

4. 4 km E

5. 2 km S

Sul e Norte:

(1.) 2 km N + (3.) 1 km S + (5.) 2 km S = 2 km - 1 km - 2 km = 0

Este e Oeste:

(2.) 2 km W + (4.) 4 km E = -2 km + 4 km = 2 km E

Veja imagem abaixo.

Hello,

If the question is simplify then

we suppose x not equal to 5 and x not equal to -5

[tex]\dfrac{x^2-10x+25}{(x-5)(x+5)} \\\\=\dfrac{(x-5)^2}{(x-5)(x+5)} \\\\=\dfrac{x-5}{x+5} \\\\[/tex]

else

if the question is to find the euclidian 's quotient then

[tex]\dfrac{x^2-10x+25}{(x-5)(x+5)} \\\\= 1 + \dfrac{-10x+30}{x^2-25} \\\\=1-\frac{10}{x+5} \\[/tex]

euclian's quotient is 1

remainder is -10/(x+5)

Answer:

let

diagonal 1=6cm

diagonal 2=10cm

Area of rhombus=½*diagonal 1*diagonal 2=½*6*10

=30cm²

Answer:

Area of rhombus is 30cm².

Step-by-step explanation:

A rhombus having diagonals 6cm and 10cm . Find the area of rhombus.

Solution :-

Let us assume that

Finding the area of rhombus

Using Formula :-

Area of rhombus = ½ × [tex]diagonal_1[/tex]×[tex]diagonal_2[/tex]

Substitute the values of both diagonals.

Area of rhombus = ½ × 6cm × 10cm

Multiply the numbers

Area of rhombus = ½ × 60cm²

Divide we get ,

Area of rhombus = 30 cm

Answer:

b

Step-by-step explanation:

12x12

11x11

10x10

9x9

8x8

7x7

6x6

5x5

4x4

3x3

2x2

1x1

add em together equal 650

Answer:

-1/14

Step-by-step explanation:

The given points are

The slope will be the difference of ordinate divided by difference of absicca .

> m = 2-1/-17+3

> m =1/-14

> m = -1/14

Answer:

5x - 3 = 10

5x = 13

x = 13 / 5

x = 2.6

Step-by-step explanation:

<> 5x = 10 + 3

<> 5x = 13

<> 5x ÷ 5 = 13 ÷ 5

<> x = 2.6

Answer:

your answer is (2,3) i think so .......am i right...or wrong..

[tex]\boxed{ \sf{Answer}} [/tex]

[tex]3(x + 11) + 5 = 68 \\ 3x + 33 + 5 = 68 \\ 3x + 38 = 68 \\ 3x = 68 - 38 \\ 3x = 30 \\ x = \frac{30}{3} \\ x = 10[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

[tex] \huge\boxed{\mathfrak{Answer}}[/tex]

[tex]3(x + 11) + 5 = 68 \\ 3 \times x + 3 \times 11 + 5 = 68 \\ 3x + 33 + 5 = 68 \\ 3x + 33= 68 - 5 \\ 3x + 33= 63 \\ 3x = 63 - 33 \\ 3x = 30 \\ x = \frac{30}{3} \\ x = 10[/tex]

Answer:

Step-by-step explanation:

[tex]a^{-m}=\frac{1}{a^{m}}\\\\6x^{-2}=6*\frac{1}{x^{2}}=\frac{6}{x^{2}}[/tex]

Answer:

5n² + 8bnv² + 3b²v^4

Step-by-step explanation:

(n+bv²) (5n+3bv²)

5n² + 3bnv² + 5bnv² + 3b²v^4

5n² + 8bnv² + 3b²v^4

Answer:

204g + 48

Step-by-step explanation:

simplifying the expression

Answer:

20

Step-by-step explanation:

the perimeter of the square and the triangle are the same

4×(x + 10) = 3×4x

4x + 40 = 12x

40 = 8x

x = 5

=>

a triangle side is 4x = 4×5 = 20

Answer:

y=X²-4x+5

Step-by-step explanation:

substitute all the left side values to get the outputs..

y=(5)²-4(5)+5 =10

Answer:

A

Step-by-step explanation:

In fact, if we try to substitute, we have:

10 = 5^2 -4(5) +5

10 = 25 - 20 + 5

10 = 10 (ok)

17 = -2^2 - 4(-2) + 5

17 = 4 + 8 + 5

17 = 17 (ok)

and so on