How much discount is received on an item with a marked price of Rs 500 if the discount rate is 3%? * Rs 50 Rs 15 Rs 25 Rs 5

Answer:

a) (8,12) is the point [tex]\frac{3}{5}[/tex] of the way from R to S, b) (0, 6) is the point [tex]\frac{1}{5}[/tex] of the way from R to S.

Step-by-step explanation:

Let be [tex]X[/tex] a point in the line between endpoints [tex]R[/tex] and [tex]S[/tex]. The ratio of the line segment [tex]RX[/tex] to the line segment [tex]RS[/tex] is given by:

[tex]r = \frac{RX}{RS}[/tex]

Where:

[tex]RX = \sqrt{(x_{X}-x_{R})^{2}+(y_{X}-y_{R})^{2}}[/tex]

[tex]RS = \sqrt{(x_{S}-x_{R})^{2}+(y_{S}-y_{R})^{2}}[/tex]

Let be [tex]x_{R} = -4[/tex], [tex]y_{R} = 3[/tex], [tex]x_{S} = 16[/tex] and [tex]y_{S} = 18[/tex].

a) If we know that [tex]x_{X} = 8[/tex] and [tex]y_{X} = 12[/tex], the ratio of the line segment [tex]RX[/tex] to the line segment [tex]RS[/tex] is:

[tex]RX =\sqrt{[8-(-4)]^{2}+(12-3)^{2}}[/tex]

[tex]RX = 15[/tex]

[tex]RS =\sqrt{[16-(-4)]^{2}+(18-3)^{2}}[/tex]

[tex]RS = 25[/tex]

Then,

[tex]r = \frac{15}{25}[/tex]

[tex]r = \frac{3}{5}[/tex]

(8,12) is the point [tex]\frac{3}{5}[/tex] of the way from R to S.

b) If we know that [tex]x_{X} = 0[/tex] and [tex]y_{X} = 6[/tex], the ratio of the line segment [tex]RX[/tex] to the line segment [tex]RS[/tex] is:

[tex]RX =\sqrt{[0-(-4)]^{2}+(6-3)^{2}}[/tex]

[tex]RX = 5[/tex]

[tex]RS =\sqrt{[16-(-4)]^{2}+(18-3)^{2}}[/tex]

[tex]RS = 25[/tex]

Then,

[tex]r = \frac{5}{25}[/tex]

[tex]r = \frac{1}{5}[/tex]

(0, 6) is the point [tex]\frac{1}{5}[/tex] of the way from R to S.

Answer:

491,800!

Step-by-step explanation:

Rounding 491,778 to the nearest hundred we get 491,800 as our answer.

Given,

491,778

We need to round 491,778 to the nearest hundred.

The different place value is given below:
Example: 468975

4 - hundred thousands

6 - ten thousands

8 - thousands

9 - hundreds

7 - tens

5 - ones

Which number 491,778 is in the hundred place value.

= The number 7 in 491,778 is in the hundred place value.

Round 491.778 to its nearest hundreds.

= 491,778

Since 7 is in the hundred place value we need to round 778 to its nearest hundred.

It is either 700 or 800.

Since 778 is greater than or equal to 750.

We will round it to 800.

491,800 is our answer.

Thus rounding 491,778 to the nearest hundred we get 491,800 as our answer.

Learn more about comparing place values in numbers here:

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Answer:

128 degrees

Step-by-step explanation:

Remember : Sum of all angles in a hexagon is 720°!

Thus,

128° + 100° + 120° + X + 112° + 133° =720°

=> 593 + X = 720

Answer:

17.01 pounds

Step-by-step explanation:

3.78 x 4.5 = 17.01

Hope this helps!

Answer:

X=63

Step-by-step explanation:

Im pretty sure at least

Answer:

Here you go

Step-by-step explanation:

(3 x 10) x 8 = x(10 x 8)

What you do the distributive property so multiply 3x10 and you get 30 and multiply by 8 you get 240 so one side is solved. Now multiply 10x8 you get 80 and remember to multiply the variable x so you get 80x=240 now divide 80 both sides and you will get 3 as your total answer

Answer:

3

Step-by-step explanation:

(3x10)=30

30x8=240

(10x8)=80

240/80=3

Answera=frv+r

Step-by-step explanationa=r+rvf

To solve for a variable in an equation means that we change the subject of the formula. The solution to the equation for variable v is:

[tex]\frac{A - r}{rf} = v[/tex]

Given that:

[tex]A = r + rvf[/tex]

Subtract r from both sides

[tex]A - r = rvf[/tex]

Divide both sides by rf

[tex]\frac{A - r}{rf} = v[/tex]

Rewrite as:

[tex]v=\frac{A - r}{rf}[/tex]

Hence, the solution to the equation for variable v is:

[tex]\frac{A - r}{rf} = v[/tex]

Read more about subject of the formula at:

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Answer:

500ft

Step-by-step explanation:

Elevation = 400ft-100ft+200ft

Elevation = 500ft

If you need an expression with only variables, set 400, 100, 200, and elevation as separate variables

Answer:

80 computers

Step-by-step explanation:

For 1 class=20 computers

For 4 classes=20x4=80 computers

Answer:

The answer im pretty sure is 5.33 inches of water.

Step-by-step explanation:

Answer:

C) 3057.6 cm³

Step-by-step explanation:

Rectangular prism: 20x11x9=1980

Cylinder: [tex]\pi[/tex]r²h = [tex]\pi[/tex]X7x7x7=1077.57

1980+1077.57=3057.57

Answer:

i would say b since its 1 placement lower

Step-by-step explanation:

The line segment HI has length 3x - 5, and IJ has length x - 1.

We're told that HJ has length 7x - 27.

The segment HJ is made up by connecting the segments HI and IJ, so the length of HJ is equal to the sum of the lengths of HI and IJ.

This means we have

7x - 27 = (3x - 5) + (x - 1)

Solve for x :

7x - 27 = (3x + x) + (-5 - 1)

7x - 27 = 4x - 6

7x - 4x = 27 - 6

3x = 21

x = 21/3

x = 7

Answer:

See below.

Step-by-step explanation:

So we have the inequality:

[tex]2x+6>20[/tex]

Subtract 6 from both sides:

[tex]2x>14[/tex]

Divide both sides by 2:

[tex]x>7[/tex]

So, the solution is all numbers greater than 7.

And we're done!

Answer:

it's 1 cm to 2 m

Step-by-step explanation:

Sometimes two different scales are actually equivalent, such as 5 cm to 10 m and 1 cm to 2 m. It is common to write a scale so that it tells you what one unit on the scale drawing represents (for example, 1 cm to 2 m).

Answer:

1/5

Step-by-step explanation:

Step 1:

5x - 10 + 11

Step 2:

5x = 1

Answer:

x = 1/5

Hope This Helps :)

Answer:

K 2

J 4

Step-by-step explanation:

Solved it as an equation 2 x+x=6

x= number of miles Katie drives

Answer:

-9

Step-by-step explanation:

Step 1:

-2x + 7 = 25

Step 2:

-2x = 18

Step 3:

-18 = 2x

Answer:

-9

Hope This Helps :)

Answer: -9

Step-by-step explanation: hope this helped ❤️

Answer:

The number of girls are 90 girls

The number of boys are 125 boys

The number of adults are 20 adults

There are 90 girls, 125 boys and 20 adults at the camp

Step-by-step explanation:

The total number of people is given as 235 people

The number of boys = 35 + The number of girls

The number of adults = The number of girls - 70

Let the total number of girls = G

Therefore, we have;

The number of boys = 35 + G

The number of adults = G - 70

The total number of persons = The number of boys + The number of adults  +  The number of girls

Therefore;

235 = The number of boys + The number of adults  +  The number of girls

Which gives;

235 = 35 + G + G - 70 + G = 3·G - 35

235 = 3·G - 35

3·G - 35 = 235

3·G = 235 + 35  = 270

G = 270/3 = 90

The number of girls = 90

The number of boys = 35 + The number of girls = 35 + 90 = 125

The number of boys =  125

The number of adults = The number of girls - 70 = 90 - 70 = 20

The number of adults = 20.

Answer:

There are 90 girls, 125 boys, and 20 adults.

Step-by-step explanation:

Let x be the number of girls. How many boys were there?

x + 35

How many adults were there?

x - 70

We know that 235 people are at RSM summer camp. Use this to make an equation.

x + (x + 35) + (x - 70) = 235

x + x + 35 + x - 70 = 235

3x - 35 = 235

3x - 35 + 35 = 235 + 35

3x = 270

3x ÷ 3 = 270 ÷ 3

x = 90

x, x + 35, x - 70

90, 125, 20

Answer:

(a) $52

(b) $2500

(c) $5000

Step-by-step explanation:

(a) y = 100 - 0.02x

x = 2400

y = 100 - 0.02(2400)

y = 100 - 48

y = 52

$52

(b) 50 = 100 - 0.02x

-50 = -0.02x

x = 2500

$2500

(c) 0 = 100 - 0.02x

0.02x = 100

x = 5000

$5000

Answer:

Step-by-step explanation:

n+2n+1+5n-6=15

= 8n + 1 - 6= 15

= 8n + 1 - 6 + 6 = 15 + 6

= 8n +1 = 21

= 8n + 1 - 1 = 21 - 1

=8n = 20

= 8n / 8 = 20 / 8

= n = 2.5

the value of ‘n’ is 2.5

The value of n in the triangle is 2.5

The perimeter of the triangle is the sum of its side lengths.

So, we have:

P = n + 2n + 1 + 5n - 6

Evaluate the like terms

P = 8n - 5

The perimeter is 15.

So, we have:

8n - 5 = 15

Add 5 to both sides

8n = 20

Divide by 8

n = 2.5

Hence, the value of n is 2.5

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Answc

Step-by-step explanation:

answer= C. 11m

Answer:

im about 90% sure its 32

Step-by-step explanation:

Answer:

Sales tax=$31.53

The total price is: $557.03

Step-by-step explanation:

$525.50*0.06=$31.53

Answer:

Step-by-step explanation:

Savings = Earnings - Expenses ⇒ Expenses = Earnings - Savings

E(3 years) = E(36 months)

Answer:

A

Step-by-step explanation:

p(x)=5x^3−4x^2−x