b) The marked price of a bicycle is Rs. 2000. If the shopkeeper allows some discount and a customer bought it for Rs. 1921 including 13% VAT, how much amount was given as the dis
count?
​

Answer:

16

Step-by-step explanation:

Jen's class: 10 girls, 15 boys

ratio of girls to boys = 10:15 = 2:3 = 2x:3x

Ed's class

number of boys = 24

ratio of girls to boys = 2x:3x

3x = 24

x = 8

2x = 2(8) = 16

Answer: 16

Answer:

16

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Intersecting Chords Formula:

a • b = c • d

where a and b are the segments on one chord and c and d are the segments on the other chord

3*6 = 2*x

18 = 2x

Divide by 2

18/2 =2x/2

9 =x

[tex]\sf \bf {\boxed {\mathbb {x\:=\:0.1333}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex](3x + 1)(x - 4) - (x + 2)(x - 3) = (2x + 5)x\\[/tex]

[tex] ➺\: 3x \: (x - 4) + 1 \: (x - 4) - x \: (x - 3) - 2 \: (x - 3) = (2x + 5) \: x\\[/tex]

[tex] ➺\: 3 {x}^{2} - 12x + x - 4 - {x}^{2} + 3x - 2x + 6 = 2 {x}^{2} + 5x\\[/tex]

[tex] ➺\: 2{x}^{2} - 2 {x}^{2} - 10x - 5x + 2= 0\\[/tex]

[tex] ➺\: - 15x = - 2\\[/tex]

[tex]➺ \: x = \frac{ - 2}{ - 15} \\[/tex]

[tex]➺ \: x = \frac{2}{15}\\ [/tex]

[tex] ➺\: x = 0.1333[/tex]

[tex]\huge\bf\purple{*Mystique 35♡༉}[/tex]

Answer:

[tex]x^{15}[/tex]

Step-by-step explanation:

Distribute the ^3 on top

(27 [tex]x^{6}[/tex] [tex]y^{-9}[/tex])

distribute the ^ -9 on bottom, only to what is in the parenthesis

(27 [tex]x^{-9}[/tex] [tex]y^{-9}[/tex])

the 27's cross out, the [tex]y^{-9}[/tex] 's cross out

[tex]x^{6}[/tex]/ [tex]x^{-9}[/tex] is left

move the  [tex]x^{-9}[/tex] to the top of fraction to change its sign

[tex]x^{6}[/tex] · [tex]x^{9}[/tex] = [tex]x^{15}[/tex]

Answer:

$175

Step-by-step explanation:

you need to specify if harriet got the 7 portion or the 5 portion. I'll answer as if she got the 7 portion.

They split it into 12 portions because the ratio is 7:5 and 7+5=12. So do $300/12=25

Assuming Maya got the 5 portion, do $25 x 5 = $125, so Maya got $125.

Assuming Harriet got the 7 portion, do $25 x 7 = $175, so Harriet got $175.

Answer:

Step-by-step explanation:

28 kg + 750 g = 28*1000 + 750

                          28000 + 750

                       = 28750 g

Number of sack = Total quantity of sugar ÷ quantity of sugar in a sack

                           = 28750 ÷ 500

                           =  57 sacks

Answer:

57 sacks

Step-by-step explanation:

28750 ÷ 500 =

57 sacks

Glad to help! :)

Answer:

"D"

the start point is below zero and is doing deeper

Step-by-step explanation:

Answer:

82 kg

Step-by-step explanation:

To find the mean of a set of values, we must add them up and divide by the number of values.

Step 1, adding the values:

[tex]75+68+78+82+85+90+88+92+76=\\734[/tex]

Step 2, dividing by the # of terms:

There are 9 terms in total.

[tex]\frac{734}{9} =\\81.556[/tex]

To the nearest kilogram, we can round 81.556 into 82.

The mean mass of the 9 men was [tex]\fbox{82}[/tex] kg.

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

Answer:

option C , D , E

Step-by-step explanation:

[tex]\sqrt{\frac{1}{16}} = \frac{1}{4} => not \ irrational\\\\\sqrt{\frac{1}{4}} = \frac{1}{2} => not \ irrational\\\\\sqrt{\frac{1}{2}} = > \ irrational\\\\\sqrt{\frac{1}{10}} =>\ irrational\\\\\sqrt{\frac{1}{8}} =>\ irrational\\\\[/tex]

Answer:

1/2, 1/10, 1/8

AB=5

Step-by-step explanation:

x^2 - 10=3x

x^2 -3x -10=0

x^2 +2x-5x-10=0

x(x+2) -5(x+2) =0

(x-5) (x+2) =0

x-5=0. x+2=0

x=5. x=-2

Answer:

YES

Step-by-step explanation:

Find each length using the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

✔️Distance between A(-4, 2) and B(1, 4):

[tex] AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] A(-4, 2) = (x_1, y_1) [/tex]

[tex] B(1, 4) = (x_2, y_2) [/tex]

[tex] AB = \sqrt{(1 - (-4))^2 + (4 - 2)^2} [/tex]

[tex] AB = \sqrt{(5)^2 + (2)^2} [/tex]

[tex] AB = \sqrt{25 + 4} [/tex]

[tex] AB = \sqrt{29} [/tex]

✔️Distance between C(2, -1) and D(4, 4):

[tex] CD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] C(2, -1) = (x_1, y_1) [/tex]

[tex] D(4, 4) = (x_2, y_2) [/tex]

[tex] CD = \sqrt{(4 - 2)^2 + (4 - (-1))^2} [/tex]

[tex] CD = \sqrt{(2)^2 + (5)^2} [/tex]

[tex] CD = \sqrt{4 + 25} [/tex]

[tex] CD = \sqrt{29} [/tex]

AB = CD = √29

Therefore, they both have the same length.

Given:

θ is an angle in standard position and its terminal side passes through the point (-4,-9).

To find:

The exact value of tanθ in simplest radical form.

Solution:

If θ is an angle in standard position and its terminal side passes through the point (x,y), then the exact value of tanθ is:

[tex]\tan \theta=\dfrac{y}{x}[/tex]

It is given that, θ is an angle in standard position and its terminal side passes through the point (-4,-9). So, t he exact value of tanθ is:

[tex]\tan \theta=\dfrac{-9}{-4}[/tex]

[tex]\tan \theta=\dfrac{9}{4}[/tex]

Therefore, the required value is [tex]\tan \theta=\dfrac{9}{4}[/tex].

Answer:

dimes --- x

quarters ---- 28-x

10x + 25(28-x) = 430

Step-by-step explanation:

not sure po

Answer:

1. 6084

2. 9261

3. -1

4. 995/364

5. -1/625

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

To find the other number , divide -112 by -8 and you will get 14.

Answer:

5890 (none of the above)

Step-by-step explanation:

Answer:

1472.6 in³

Step-by-step explanation:

The volume (V) of the oblique cone is calculated as

V = [tex]\frac{1}{3}[/tex] πr²h ( r is the radius and h the perpendicular height )

Here r = 15 ÷ 2 = 7.5 and h = 25 , then

V = [tex]\frac{1}{3}[/tex] × π × 7.5² × 25

   = [tex]\frac{1}{3}[/tex] × π × 56.25 × 25

   = [tex]\frac{1}{3}[/tex] × π × 1406.25

   = [tex]\frac{1406.25\pi }{3}[/tex] ≈ 1472.6 in³ ( to the nearest tenth )

Answer: (0,-5), (5, 0), (10, 5) and (15,10).

Step-by-step explanation:

Given equation: [tex]y = x + 5[/tex]

To find its inverse we will find the value of x .

Subtract 5 from both sides

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

Switch y to x, we get

y= x-5, which is the inverse function.

At x=0,

y=-5

At x= 5,

y=0

At x= 10 ,

y=5

At x= 15,

y= 10

Hence, the four points contained in the inverse: (0,-5), (5, 0), (10, 5) and (15,10).

Plotting the graph after finding the inverse function the four points contained in the inverse fucntion are:  (0, -5), (5, 0), (5.1, 0.1), and (5.2, 0.2).

The given equation is,

y = x+5

To find its inverse fucntion,

Replace x with y we get.

x = y + 5

Rearranging it,

y = x - 5

So this is the inverse fucntion.

Since this is of the form of line y = mx + c

Therefore,

To find the points containing contained by inverse fucntion,

Graphing: y = x - 5

After graphing we can see that,

The four points (0, -5), (5, 0), (5.1, 0.1), and (5.2, 0.2) are lies on the line.

Hence the required four points are:

(0, -5), (5, 0), (5.1, 0.1), and (5.2, 0.2)

#SPJ6

Answer:

b

Step-by-step explanation:

The scuba diver is 30 feet below, and ascend means up, so you subtract 13.5, and descend means down so you add 15. That’s how you get the answer.

Answer:

6x +18

Step-by-step explanation:

6(x + 3)

Distribute

6*x + 6*3

6x +18

Answer:

6x + 18

Step-by-step explanation:

Given

6(x + 3) ← multiply each term in the parenthesis by 6

= 6x + 18

The first option :

Multiply the first equation by 8 and the second equation by 2

would not result in the elimination of the variables in this system

Answer:

The dependent variable is h and the independent variable is t

Step-by-step explanation:

Given

[tex]h(t) = 4t + 5[/tex]

Required

The dependent and the independent variable

The [tex]dependent[/tex] [tex]variable[/tex]is the [tex]variable[/tex] whose value [tex]depends[/tex] on another.

In the above equation, the height (h) depends on time (t) for its value

Hence,

The [tex]depe ndent[/tex] [tex]variable[/tex] is h and the [tex]indep endent[/tex] [tex]variable[/tex] is t

Answer:

Option 2: 67.014

Step-by-step explanation:

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

[tex]\mathsf{2.3(x - 2) = 15}[/tex]

[tex]\mathsf{2.3(x) + 2.3(-2) = 15}[/tex]

[tex]\mathsf{2.3x - 4.6 = 15}[/tex]

[tex]\large\textsf{ADD 4.6 to BOTH SIDES}[/tex]

[tex]\mathsf{2.3x - 4.6 + 4.6 = 15 + 4.6}[/tex]

[tex]\large\textsf{CANCEL out: -4.6 + 4.6 because it gives the number 0}[/tex]

[tex]\large\textsf{KEEP: 15 + 4.6 because that helps solve find the x-value}[/tex]

[tex]\mathsf{15 + 4.6 = \boxed{\bf 19.6}}[/tex]

[tex]\large\textsf{NEW EQUATION: 2.3x = 19.6}[/tex]

[tex]\large\textsf{DIVIDE 2.3 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{2.3x}{2.3}=\dfrac{19.6}{2.3}}[/tex]

[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{2.3}{2.3}}\large\textsf{ because that gives you 1}[/tex]

[tex]\large\textsf{KEEP: }\mathsf{\dfrac{19.6}{2.3}}\large\textsf{ because that gives you the value of x}[/tex]

[tex]\mathsf{\dfrac{19.6}{2.3}= \boxed{\bf x}}[/tex]

[tex]\mathsf{\boxed{\bf x}=\dfrac{19.6}{2.3}}[/tex]

[tex]\boxed{\bf {x = 8.521739}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = 8.521739}}}\huge\checkmark[/tex]

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

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

Answer:

A. Opposite angles of a rhombus are congruent.

Step-by-step explanation:

Answer:

5 meters

Step-by-step explanation:

We can obtain the entire area, both shaded and non-shaded by finding the area of the rectangle ;

Area of rectangle = Length * width

Length = 12 ; width = 2

Area of rectangle = 12 * 2 = 24 m²

Area of semicircle = πr² / 2

The radius, r of each semicircle = 2

Area of each semicircle = π * 2² / 2 = 6.283 m²

Area of the 3 semicircles = 3 * 6.283 = 18.849 m²

Area of dry region:

(24 - 18.849) m²

= 5.151 m²

= 5 m

Answer:

Start at the positive

x

-axis, then rotate left by the desired angle.

Explanation:

Standard position means the first arm of the angle is the positive

x

-axis, and the other arm is placed by rotating counter-clockwise from there, by the amount of the angle.

As a basic example, the symbol

∠

is about a 45° angle in standard position.

To get a feel for where the second arm (called the "terminal arm") will go, remind yourself that the axes themselves meet each other at 90°.

If our angle was 90°, the terminal arm would be on the positive

y

-axis.

If our angle was 180°, it would be on the negative

x

-axis.

Wait! 180° is more than 150°, so our angle is somewhere in quadrant 2. In fact, 150° is 2/3 of the way between 90° and 180°, so our terminal arm will be 2/3 of the way into quadrant 2.

graph{(y+tan(pi/6)x)(y^2-.00001x)=0 [-10, 10, -5, 5]}

(ignore the part of the line in quadrant 4)

Step-by-step explanation:

Answer:

21/5 when simplified

Answer:

4  1/5

Step-by-step explanation:   6  20  5  58

7/9 × 27/5  =  (7×27) / (9 × 5)

                 =   189 / 45           divide numerator and denominator by 3

                 =    63 / 15            simplify

                 =     4 3/15

                 =     4  1/5