To make 3 glasses of orange squash you need 600 ml of water. How much water do you need to make: a) 5 glasses of orange squash, b) 7 glasses of orange squash?​

Answer:

Given a line segment AB

open the compass more than half of the distance between A and B, and scribe arcs of the same radius centered at A and B.

Call the two points where these two arcs meet C and D. Draw the line between C and D.

CD is the perpendicular bisector of the line segment AB. Call the point where CD intersects AB E.

Step-by-step explanation:

for more help please follow

Answer:

Follow the steps below to construct a perpendicular bisector of a line segment.

Step 1: Draw a line segment XY of any suitable length.

Step 2: Take a compass, and with X as the center and with more than half of the line segment XY as width, draw arcs above and below the line segment.

Step 3: Repeat the same step with Y as the center.

Step 4: Label the points of intersection as 'P' and 'Q'.

Step 5: Join the points 'P' and 'Q'. The point at which the perpendicular bisector PQ intersects the line segment XY is its midpoint. Label it as 'O'.

Step-by-step explanation:

Answer:

2x-3

Step-by-step explanation:

f (x) = 3x - 1

g(x) = x + 2

(f - g)(x) = 3x-1 - ( x+2)

Distribute the minus sign

       = 3x-1 -x-2

Combine like terms

       = 3x-x-1-2

       = 2x-3

(f - g )( x ) = 2 x - 3

f ( x ) = 3x - 1

g ( x ) = x + 2

remove unnecessary parantheses

collect like terms

Answer: $ 91.50.

Step-by-step explanation:

Let x be the original price.

Since discount is applied before tax.

New price = (Original price - Discount)-Tax rate (Original price - Discount)

, where Discount = Discount rate x Original price.

Substituting values, we get

[tex]62.28=(x-0.25x)-0.0925(x-0.25x)[/tex]

[tex]62.28=(0.75x)-0.0925(0.75x)[/tex]

[tex]62.28=0.75x-0.069375x[/tex]

[tex]62.28=0.680625x[/tex]

[tex]x=\frac{62.28}{0.680625}[/tex]

[tex]x=91.50[/tex]

Hence, the original price was  $ 91.50.

Answer:

The answer you're looking for is 8,200cm

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

Let x represent the length of the rectangular pen and y represent the width of the rectangular pen. Since the total area of the pen is 169 ft², hence:

Area = length * width

169 = xy

y = 169/x

Also the perimeter of the rectangular pen is:

Perimeter (P) = 2(length + width)

P = 2(x + y)

P = 2x + 2y

P = 2x + 2(169/x)

P = 2x + 338/x

The least amount of fencing is at dP/dx = 0, hence:

dP/dx = 2 - 338/x² = 0

338/x² = 2

2x² = 338

x² = 169

x = 13 feet

y = 169 / x = 169/13 = 13 feet

The least amount of fencing = P = 2(x + y) =  2(13 + 13) = 52 feet

Answer:

since angle x and y are the same the answer will be

A: x=y

Answer:

10 years

Step-by-step explanation:

Given :

Population of Canyon falls = 22500

Rate of decrease = 740 per year

Population after x years :

f(x) = 22500 - 740x ; x = number of years

Population of Swift Creek = 15200

Rate of Increase = 1500 per year

Population after x years :

f(x) = 15200 + 1500x ; x = number of years

Number of years when, population of swift creek will be twice that of Canyon falls

15200 + 1500x = 2(22500 - 740x)

15200 + 1500x = 45000 - 1480x

15200 - 45000 = - 1480x - 1500x

-29800 = - 2980x

x = 29800 / 2980

x = 10

After 10 years

Answer:

63 euros.

Step-by-step explanation:

4 dollars = 1.75 euros

1 dollar = 1.75 / 4 euros, so

144 dollars = (1.75/4) * 144

= 63 euros.

Answer:

The least amount of fencing needed for the rectangular pen is 72.19 feet.

Step-by-step explanation:

The area and perimeter equations of the pen are, respectively:

[tex]p = 2\cdot (x + y)[/tex] (1)

[tex]A = x\cdot y[/tex] (2)

Where:

[tex]p[/tex] - Perimeter, in feet.

[tex]A[/tex] - Area, in square feet.

[tex]x[/tex] - Width, in feet.

[tex]y[/tex] - Length, in feet.

Let suppose that total area is known and perimeter must be minimum, then we have a system of two equations with two variables, which is solvable:

From (2):

[tex]y = \frac{A}{x}[/tex]

(2) in (1):

[tex]p = 2\cdot \left(x + \frac{A}{x}\right)[/tex]

And the first and second derivatives of the expression are, respectively:

[tex]p' = 2\cdot \left(1 -\frac{A}{x^{2}} \right)[/tex] (3)

[tex]p'' = \frac{4\cdot A}{x^{3}}[/tex] (4)

Then, we perform the First and Second Derivative Test to the function:

First Derivative Test

[tex]2\cdot \left(x - \frac{A}{x^{2}} \right) = 0[/tex]

[tex]2\cdot \left(\frac{x^{3}-A}{x^{2}} \right) = 0[/tex]

[tex]x^{3} - A = 0[/tex]

Given that dimensions of the rectangular pen must positive nonzero variables:

[tex]x^{3} = A[/tex]

[tex]x = \sqrt[3]{A}[/tex]

Second Derivative Test

[tex]p'' = 4[/tex]

In a nutshell, the critical value for the width of the pen leads to a minimum perimeter.

If we know that [tex]A = 169\,ft^{2}[/tex], then the value of the perimeter of the rectangular pen is:

[tex]x = \sqrt[3]{169\,ft^{2}}[/tex]

[tex]x \approx 5.529\,ft[/tex]

By (2):

[tex]y = \frac{A}{x}[/tex]

[tex]y = \frac{169\,ft^{2}}{5.529\,ft}[/tex]

[tex]y = 30.566\,ft[/tex]

Lastly, by (1):

[tex]p = 2\cdot (5.529\,ft + 30.566\,ft)[/tex]

[tex]p = 72.19\,ft[/tex]

The least amount of fencing needed for the rectangular pen is 72.19 feet.

Answer: proportionate

Step-by-step explanation:

Proportional quota sampling is when the total number of people that are to be surveyed are decided in advance. This form of sampling is usually used in opinion polls and surveys.

Since due to the fact that there are many more women in teaching jobs than men, the researcher selected more women than men for her study to ensure that it represented the actual distribution of men and women teachers in the job, then this was decided in advance and indicates the proportionate quota sampling.

Answer:

6

Step-by-step explanation:

(whole secant) * (external part) = (tangent)^2

(KL) * (KM) = KJ^2

(KM+ ML) * KM = KJ^2

(2+ ML) * 2 = 4^2

(2+ ML) * 2 =16

Divide each side by 2

(2+ ML)  = 8

Subtract 2 from each side

ML = 6

Answer:

No way its too blur XD

Step-by-step explanation:

sports

watching tv

reading books

surfing

and sleeping maybe

Answer:

Sports - 25%

Surfing - 25%

Reading Books - 20%

Watching TV - 25%

Malling - 5%

Step-by-step explanation:

Answer:

[tex] \gamma = 125.00 \: degrees \\ a = 2.18 \\ b = 3.59[/tex]

Step-by-step explanation:

[tex] \gamma = 180 - 20 - 35 \\ = 125 \: degrees[/tex]

[tex]using \: sine \: rule \\ \frac{a}{sin20} = \frac{b}{sin35} = \frac{5.122}{sin125} \\ a = 2.1386 \\ b = 3.5865[/tex]

Answer:

87.9°

Step-by-step explanation:

arctan(50/40)=87.9°

Answer:

perimeter

Step-by-step explanation:  If she walks around its perimeter.  If she covers every inch of ground covered by the field its area.

Perimeter would be like an outline.  And area would be the whole thing shaded.  

Answer: 2.81 s

Step-by-step explanation:

Given

Ball is kicked upward with velocity [tex]u=90\ ft/s[/tex]

Height of the ball is given by the function [tex]h(t)=-16t^2+90t[/tex]

Derivative of a function gives the maxima or minima at certain point

[tex]\Rightarrow \dfrac{dh}{dt}=-32t+90\\\\\Rightarrow \dfrac{dh}{dt}=0\\\\\Rightarrow -32t+90=0\\\\\Rightarrow t=\dfrac{90}{32}\\\\\Rightarrow t=2.81\ s[/tex]

Thus, it takes ball 2.81 s to reach the top.

Answer:

120 different ways

Step-by-step explanation:

The first person can be 5 different ways

Now there are 4 people left

The second person can be 4 different ways

And so on

5*4*3*2*1

120 different ways

Answer:

Step-by-step explanation:

Step 1: Add -4y to both sides.

2x+4y+−4y=1+−4y

2x=−4y+1

Step 2: Divide both sides by 2.

2x

2

=

−4y+1

2

x=−2y+

1

2

Step 1: Add 5y to both sides.

3x−5y+5y=7+5y

3x=5y+7

Step 2: Divide both sides by 3.

3x

3

=

5y+7

3

x=

5

3

y+

7

3

Step-by-step explanation:

Consecutive odd integers are integers that take on the form n, n + 2, n +4, n + 6, and so on, where n is odd.

Now, Product of two consecutive positive odd integers = 2499

=>n*(n+2) = 2499

=>n^2+2^n-2499=0

=>n^2+51^n-49^n-2499=0 =>n(n+51)-49(x+51)=0

=>(n+51)(n-49)=0

=>n=49 (n is not equal to -51 which is negative integer).

So,bigger integer =(n+2)=49+2=51.

Answer:

65 degree angle but when straight 180 degree angle

Step-by-step explanation:

sry if wrong :)

Answer:

y = 4x+ 5 is the equation that describes the data...

that is a linear equation ... the slope is 4 thus "the y value increases 4 for every 1 unit increase in x"

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(x+5) *x = 6^2

x^2 +5x = 36

Subtract 36 from each side

x^2 +5x - 36 = 0

Factor

( x-4) (x+9) = 0

Using the zero product property

x-4 = 0  x+9 =0

x = 4  x=-9

Cannot be negative since that is negative length

x=4

Answer:

510 divided by 380 is 1.34210526316 so multiple by 10 to get 134.210526316

rounding to the tenth we get 134.2

Answer: £3.38

Step-by-step explanation:

In the first year, the pocket money goes up by:

= 1 + (1 * 50%)

= £1.50

In the second year:

= 1.50 + (1.50 * 50%)

= £2.25

In the third year:

= 2.25 * ( 2.25 * 50%)

= £3.38

Answer:

27.2 ft

Step-by-step explanation:

We solve using the Trigonometric function of tan

tan θ = Opposite/Adjacent

θ = 66°

Opposite = Height of the building = 61 ft

Adjacent = Length of the shadow = ? = x

tan 66 = 61/x

Cross Multiply

tan 66 × x = 61

x = 61 ft/tan 66

x = 27.158949804 ft

Approximately = 27.2 ft

The length of the shadow = 27.2 ft