Nick, Paul and krutika share £80 in a ratio 1:1:2 how much money does each person get

Answer:

i.) (-0.25, 0), (1.25, 0)

ii.) (0.5, 2), (1.5, 2)

Step-by-step explanation:

For i, it is asking for the roots of the quadratic, or where the graph crosses the x-axis.

For ii, it is asking for the x-values when y = 2.

Answer:

a) y = [tex]\frac{7}{17}[/tex]

b) x = 4

Step-by-step explanation:

a) [tex]\frac{3y+2}{5} =4y-1[/tex]

3y + 2 = 20y - 5

2 = 20y - 3y - 5

2 = 17y - 5

2 + 5  = 17y

7 = 17y

y = [tex]\frac{7}{17}[/tex]

b) x² + 5 = 21

x² = 21 - 5

x² = 16

x = √16

x = 4

Check the attachment... hope it helps :)

x= +4 or -4

y= 7/17

Answer:

¥1,512.49

Step-by-step explanation:

Here is the complete question:

The exchange rate between non-fixed currencies continually fluctuates. The chart below shows the exchange rate of the US dollar to the Japanese yen over the course of six days.

Day

$:¥

Monday

1:88.6122

Tuesday

1:90.8305

Wednesday

1:87.5507

Thursday

1:91.2323

Friday

1:92.7120

Saturday

1:89.4477

Mary has $311.75 to convert into yen. The currency exchange she is using charges a surcharge of 6% when converting currency. About how many more yen will Mary receive if she makes her trade on the day with the most favorable exchange rate than if she makes her trade on the day with the least favorable exchange rate?

Solution:

Of all the days of the week, the most favorable exchange rate day is Friday where the exchange rate is ¥92.7120 and the lease favorable exchange rate day is on Wednesday where the exchange rate is ¥87.5507.

If Mary converted the currency, she will receive only 94% of her money excluding 6% surcharge.

Favorable day(Friday)= ($311.75) x (92.7120/1) x 0.94

=¥27,168.788

Least Favorable day(Wednesday) =($311.75) x (87.5507) x 0.94

=¥25,656.294

The difference between most favorable day and least favourable day = ¥27,168.788 - ¥25,656.294

= ¥1,512.49

Answer:

¥1,513

Step-by-step explanation:

Answer:

Step-by-step explanation:

Pls help me with my question roo

The graph of g(x) is g(x) = [tex]3^{x-6}[/tex]

A translation is a rigid transformation because it does not change the size or shape of the original figure. Translations are the simplest transformation in geometry and are often the first step in performing other transformations on a figure or shape.

Given that, graph of g(x) is the result of translating the graph of f(x) = 3ˣ, 6 units to the right.

Translation the graph of the function y = f(x) a units to the right gives the function y = f(x-a)

So, here, f(x) = 3ˣ will be transformed to g(x) = [tex]3^{x-6}[/tex]

Hence, the graph of g(x) is g(x) = [tex]3^{x-6}[/tex]

Learn more about translation, click;

https://brainly.com/question/12463306

#SPJ5

Answer:

d. 15 square yard

Step-by-step explanation:

[tex]area \: of \: shape \\ = \frac{1}{2} \times base \times height \\ \\ = \frac{1}{2} \times 10 \times 3 \\ \\ = \frac{1}{2} \times 30 \\ \\ = 15 \: {yd}^{2} [/tex]

Answer:

∆y = 95 ft

the vertical distance the shark travels is 95 ft

Step-by-step explanation:

Given;

Initial position y1= 80 ft below the surface of water = -80ft

Final Position y2 = 15 ft above the surface = +15ft

The vertical distance travelled by the shark is;

∆y = y2 - y1 = 15 - (-80) ft

∆y = 15 +80 ft

∆y = 95 ft

the vertical distance the shark travels is 95 ft

Choice B

Choice D

Choice E

=================================================

Explanation:

Use the triangle inequality theorem. This is the idea where adding any two sides must lead to a result larger than the third side; otherwise, a triangle is not possible. I recommend cutting out strings of paper of these lengths to confirm that you can make a triangle or not.

----------------------------------

For choice A, a triangle is not possible since the first two sides add to 1+1 = 2, but this isn't larger than the third side of 2 units. All we can do really is just form a straight line and not a triangle. We can rule choice A out.

----------------------------------

Choice B is a triangle. Specifically it is a 3-4-5 right triangle that is famous with the pythagorean theorem. Note how...

so adding any two sides of this triangle leads to the sum being larger than the third remaining side. Choice B is one of the answers.

----------------------------------

Choice C is not a triangle. We have 5+5 = 10 but that isn't larger than 11. We can rule this out.

----------------------------------

Choice D is a triangle since

any two sides sum to a value larger than the third side

----------------------------------

Choice E is a triangle. We have an equilateral triangle with all sides the same length, and all angles the same value (60 degrees). This is another answer.

----------------------------------

Choice F is similar to choice C. We have the first two sides add to something smaller than the third side (4+8 = 12 is smaller than 13). We can rule this out.

Answer:

D,xy=-12

Step-by-step explanation:

y=x²+x-2

x+y=1

or x+x²+x-2=1

x²+2x-3=0

x²+3x-x-3=0

x(x+3)-1(x+3)=0

(x+3)(x-1)=0

either x=-3

or x=1

when x=-3

x+y=1

-3+y=1

y=1+3=4

one solution is (-3,4)

xy=-3×4=-12

if x=1

1+y=1

y=0

second solution is (1,0)

xy=1×0=0

Answer:

The function f(x) = 4e* when evaluated for f(2) is:

Step-by-step explanation:

Its slope must be m= f'(0).

f'(x) = 8e2x ⇒ m = f'(0) = 8

y - y1 = m(x - x1)

m = 8

y1 = 10

x1 = 0

cause

Answer:

root 10

Step-by-step explanation:

Answer:

7 hours

Step-by-step explanation:

The total amount is the flat fee plus the amount per hour times the number of hours

16 + 8h = 72

Subtract 16 from each side

16+8h-16 = 72 -16

8h = 56

Divide by 8

8h/8 = 56/8

h = 7

7 hours

Answer:

The equation is p = 8h+16

Mike rented a bike for 7 hours

Step-by-step explanation:

[tex]equation=8h+16\\Mike\\paid \\72\\\\72 = 8h+16\\Divide\\9=h+2\\Subtract\\7=h[/tex]

Hope it helps <3

Answer:

Multiply the 3*5

Step-by-step explanation:

x+3x -4.2

Substitute x=5

5 + 3*5 -4.2

PEMDAS states multiply first

Multiply the 3*5

5 + 15 -4.2

Answer:

a!

Step-by-step explanation:

yw

Answer:45 I think

Step-by-step explanation:

Answer:

Check it below

Step-by-step explanation:

Hello!

By definition, the intercept of the 3 bisectors, within a triangle is the Incenter. So let's get started, by tracing three bisectors.

In the triangle PQR::

[tex]\overline {QR},\:\overline{PR}[/tex]

   4.Trace with a ruler, from each intersection point a line. You'll trace three lines then.

    5. Place the compass' needle point in this intersection point, (inside the triangle) with a hinge up to the triangle side, draw the circle inscribed.

Answer:

edg but few yrs later

Step-by-step explanation:

In the 5th year

For the first year, the salary is 1.2million = 1,200,000

For the second year, the salary is 1.2million + 75000 = 1,200,000 + 75,000 = 1,275,000

.

.

.

For the last year, the salary is 1.5million = 1,500,000

This gives the following sequence...

1,200,000 1,275,000  .   .   . 1,500,000

This follows an arithmetic progression with an increment of 75,000.

Remember that,

The last term, L, of an arithmetic progression is given by;

L = a + (n - 1)d           ---------------(i)

Where;

a = first term of the sequence

n = number of terms in the sequence (which is the number of years)

d = the common difference or increment of the sequence

From the given sequence,

a = 1,200,000                          [which is the first salary]

d = 75,000                               [which is the increment in salary]

L = 1,500,000                          [which is the maximum salary]

Substitute these values into equation (i) as follows;

1,500,000 = 1,200,00 + (n - 1) 75,000

1,500,000 - 1,200,000 = 75,000(n-1)

300,000 = 75,000(n - 1)

[tex]\frac{300,000}{75,000} = n - 1[/tex]

4 = n - 1

n = 5

Therefore, in the 5th year the maximum salary will be reached.

Answer:

x = 33/5

Step-by-step explanation:

4x+x-15+3-8=13

Combine like terms

5x -20 = 13

Add 20 to each side

5x-20+20 = 13+20

5x =33

Divide by 5

5x/5 = 33/5

x = 33/5

Answer:

9g/cm3 (g/ml)

Step-by-step explanation:

d(roe)=m/v=63g/7cm3=9g/cm3(g/ml)

d(roe)=m/v=117g/13cm3=9g/cm3(g/ml)

Step-by-step explanation:

Answer:

523 -61= 462

456-187=269

Step-by-step explanation:

subtract the last numbers first 3-1 which is 2 then 2-6 which is impossible so you borrow from 5 and add 10 to 2 which become 12-6 which is 6 the the first number has only 4 left because you borrowed from it which is 4 so 523-61= 462.

subtract the last number 6-7 it not possible because 6 is less than 7 so borrow from 5 then add 10 to 6 which become 16-7=9 then the second number you have 4-8 since you borrowed from 5, 4-8 is also not possible so borrow from 4 which become 14-8 which is 6 and the first number which is now 3- 1 which is 2 so all the result become 269

Answer:

16

Step-by-step explanation:

75/5 is 15 and in order to start making a profit than you have to wash 16 cars

hope this helps

Answer:

Step-by-step explanation:

The idea is to find out after what number car washed will they begin to make money. That means that this is an inequality. If they charge $5 per car, and the number of cars is our uknown, then the expression for that charge is 5x. If they need to make more than what they spent on setting up, they want to make more than $75, which looks like this: > 75. Putting that together:

5x > 75 and solving for x,

x > 15.

That means that they have to wash 15 cars to just break even and starting on the 16th car on up, they will see a profit.

Answer: 8x²+4x-4

Step-by-step explanation:

(f+g)(x) is f(x)+g(x). Since we are given f(x) and g(x), we can directly add them together.

3x²-2x+4+5x²+6x-8                                  [combine like terms]

8x²+4x-4

Answer:

∠BOC = 60°

Step-by-step explanation:

Given the following angles.

∠AOC=104°

∠AOB = (7x + 30)°

∠BOC= (9x + 42)°

Since all the angles have a common point at O, it can be inferred that;

∠AOC = ∠AOB + ∠BOC

104° = (7x + 30)° + (9x + 42)°

104° = 16x+72

16x = 104-72

16x = 32

x = 32/16

x = 2°

To get ∠BOC:

Since ∠BOC = 9x+42, we will substitute x = 2° into the equation to get the angle ∠BOC

∠BOC = 9(2) + 42

∠BOC = 18+42

∠BOC = 60°

Answer:

[tex]3x - 22 = \frac{x}{4} [/tex]

When twenty two is subtracted from a number multiplied by three the result is the same as the number divided by 4.

Hope this helps you

Answer:

here is the answer

Step-by-step explanation:

statement- the result obtained when 22 is subtracted from 3 times of a number is one-fourth of the number.

situation- rahul sees the price of a toy he wants to buy. after two years he comes to the shop again to buy the product. he notices that the price has become thrice the original. the shopkeeper agrees to reduce an amount of 22 rupees and he pays one fourth of the original price to the shopkeeper and buys the producet. find the original price of the toy.

Answer:

69×420=28980

just use calculator

Step-by-step explanation:

i hope this will help you :)

Answer:

28,980

Step-by-step explanation:

Answer:

Estimated amount of liquid in the pitcher = 39 ounces (Approx)

Step-by-step explanation:

Given:

Amount of water = 32 ounces

Amount of lemon juice = 7.15 ounces

Find:

Estimated amount of liquid in the pitcher

Computation:

Estimated amount of liquid in the pitcher = Amount of water + Amount of lemon juice

Estimated amount of liquid in the pitcher = 32 ounces + 7.15 ounces

Estimated amount of liquid in the pitcher = 39.15 ounces

Estimated amount of liquid in the pitcher = 39 ounces (Approx)

Answer:

8 is the difference, and 19 and 11 are the numbers. Hope this helped!

Answer: The difference is 8.

Step-by-step explanation:

We will let l represent the larger number s represent the smaller number.

so we know that L + S =30  

Also  2L - 3S = 5  shows the relationship between the numbers.

Now we have two equations.  

L + S =30

2L - 3S = 5  solve using any method.

L + S =30  solve for L  and substitute it into the second equation.

L + S = 30

   -S     -S

L = 30 -S    

2(30-s) - 3s = 5  Distribute

60 - 2s - 3s = 5  combine like terms

60 -5s = 5

-60         -60

-5s = -55

s = 11  

We know the smaller number is 11 so to find the larger number  we will subtract 11 from 30.

30 -11 =  19  

The larger number is 19

so To find the difference we will subtract 11 from 19.

19 -11 = 8

Answer:

90% Confidence Interval for the actual average weight of purses.

(4.7412 , 5.2588)

Step-by-step explanation:

Explanation:-

Given sample size 'n' = 60

mean of the sample x⁻ = 5 pounds

Standard deviation of the sample 'S' = 1.2 pounds

Level of significance = 0.10

90% Confidence Interval for the actual average weight of purses.

[tex](x^{-} - t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } , x^{-} +t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } )[/tex]

[tex](5 - 1.6711\frac{1.2}{\sqrt{60} } , 5 +1.671\frac{1.2}{\sqrt{60} } )[/tex]

( 5 - 0.2588 , 5 + 0.2588)

90% Confidence Interval for the actual average weight of purses.

(4.7412 , 5.2588)

Answer:

Shaded area = 6^2 * ( pi/3 - sqrt(3)/2 )

= 6.52 square units (to 2 places of decimals)

Step-by-step explanation:

see solution by same author given in

https://brainly.com/question/17023327?answeringSource=feedPersonal%2FhomePage%2F2

(question 17023327)

Please refer to the diagram for additional letters and measures.

Let

r=radius (OA and PA) of each circle

Area of sector PAOB

= (60+60)/360 * pi * r^2

=pi*(r^2)/3

Area of triangle PAB

= 2* (r cos(60) * r sin(60) /2)

= 2* ((r/2) * r (sqrt(3)/2) /2)

= sqrt(3) * r^2 / 4

= r^2 * sqrt(3)/4

Area of segment AOB

= area of segment PAOB - area of triangle PAB

= r^2 * ( pi/3 - sqrt(3)/4 )

By symmetry, area of shaded area

= area of segment AOB  -  area of triangle AOB

= area of segment AOB  -  area of triangle PAB

= r^2 * ( pi/3 - sqrt(3)/4 )  -   r^2 * ( sqrt(3)/4)

= r^2 * ( pi/3 - 2*sqrt(3)/4 )

= r^2 * ( pi/3 - sqrt(3)/2 )

Since r = b, we substitute

Shaded area

= b^2 * ( pi/3 - sqrt(3)/2 )

Substitute b=6

area

= 6^2 * ( pi/3 - sqrt(3)/2 )

= 6.522197 square units

Answer:

5

Step-by-step explanation:

Distance formula

[tex]\sqrt{ (0-4)^2 + (4-1)^2}\\\sqrt{16 + 9)}\\ \sqrt{25\\[/tex]

Answer:

d. Since fertilizer is in both data sets and is positively correlated to both tree height and fruit yield, it is like that tree height and fruit yield are also positively correlated.

Step-by-step explanation:

The correlation refers to the relationship between two or more variables i.e how they are interrelated to each other. It can be positive, negative, perfect, etc

As we can see in the figure that in both the data sets the fertilizer contains the same values which depict that they are positively correlated with respect to the height of tree and fruit yield that derives that the height of tree and fruit yield is also positively correleated

Here positive correlation means that the two variables moving in a similar direction i.e if one variable increased so the other is also increased

Therefore the option d is correct

Answer:

D

Step-by-step explanation:

I got it right on the test.

Trust me