Caroline, Colin & Sarah share some money in the ratio 1 : 9 : 1.
In total, Caroline and Sarah receive £28.
How much does Colin get?

Answers

Answer 1

Answer:

Colin got £126

Step-by-step explanation:

Here we want to know how much Colin got from the sharing.

We can collapse the ratio to mean;

Colin : Caroline + Sarah

= 9:1 + 1 = 9:2

So total ratio is 9 + 2 = 11

If Caroline and Sarah got £28 we need to find the total money shared

Let the total money shared be £x

Thus;

2/11 * x = 28

2x = 11 * 28

x = (11 * 28)/2

x = 11 * 14 = £154

So the amount of money Colin got would be;

£154 - £28 = £126


Related Questions

If i make $8.00 per hour and work 6 hours a day 5 days per week how much would my check be bi-weekly?

Answers

Answer:

480$

Step-by-step explanation:

Bi-weekly means every other week. So it is 6 times 5, because u work 30 hours a week. Than 30 (hours) times 8 (money per hour). This is 240 a week. So 240 times 2 is 480.

In the triangles, HG = MP and GK = PN. Triangles H G K and M P N are shown. Side H K has a length of 15 millimeters. Side M N has a length of 11 millimeters. Sides H G and M P are congruent. Sides G K and P N are congruent. Which statement about the sides and angles is true?

Answers

Answer:

m∠G > m∠P

Step-by-step explanation:

Given that:

HG = MP and GK = PN., Side H K has a length of 15 millimeters. Side M N has a length of 11 millimeters.

The triangle law for unequal sides states that if two sides are unequal. the angle opposite the longer side is greater than the angle opposite the shorter side. Since side HK has a length of 15 millimeters and Side MN has a length of 11 millimeters, the angle opposite side HK (which is m∠G) is greater than the angle opposite side MN (which is m∠P). That is m∠G > m∠P.

Answer:

A.

Step-by-step explanation:

Match each polynomial expression to its additive inverse.
6x²-x-2
6x2 - x+2
6x2 - x+2
6x2 + x + 2
6x²+x-2
6x2 + x-2
6x2+x-2
-6,2-x+2

Answers

Answer:

Step-by-step explanation:

To find the additive inverse of polynomial expression, flip the sign of each term.

6x² ----> -6x²

-x ----->  +x

-2 -----> +2

Additive inverse:

-6x² + x + 2

Gabriela has dinner at a cafe and the cost of her meal is
$
45.00
$45.00dollar sign, 45, point, 00. Because of the service, she wants to leave a
15
%
15%15, percent tip.
What is her total bill including tip?

Answers

Answer: 51.75

Step-by-step explanation: 15 precent of 45 is 6.75

                                              Then add 45+6.75

Answer:

Her total including the bill will be $51.75

Step-by-step explanation:

15% of $45

= $6.75

$45 + $6.75 = $51.75

For every 1000 hits a channel gets it makes £16 from ad revenue. How much will the channel make from each hit?

Answers

Hi there! Hopefully this helps!

The answer is: 0.016

Here is how I got that answer:

16/1000=0.016

Answer:

Step-by-step explanation:

£16÷1000=0.016p

s the ordered pair (6, 5) a solution to the equation 3x − 4y = −2?

Answers

Answer:

Yesh.

Step-by-step explanation:

3x - 4y = -2

3 * 6 - 4 * 5 = -2

18 - 20 = -2

-2 = -2

So, the ordered pair is a solution to the equation.

Hope this helps!

Answer:

Yes, it is

Step-by-step explanation:

If you add in the numbers, you get

(3*6)- (4*5)=-2.

then solving it, you get

18-20= -2

which is correct. (18-20 IS -2)

so, the ordered pair is a solution to the problem. Hope this helps :)

Find the distance between the points (4, 0) and (–3, 4).

Answers

Answer:

[tex]\huge\boxed{\sqrt{65}\approx8.062}[/tex]

Step-by-step explanation:

The formula of a distance between two points:

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

We have two points (4, 0) and (-3, 4).

Substitute:

[tex]d=\sqrt{(-3-4)^2+(4-0)^2}=\sqrt{(-7)^2+4^2}=\sqrt{49+16}=\sqrt{65}[/tex]

Pleas Help 9th grade work

Consider the reflectional symmetry of the shape.
How many lines of symmetry does the shape have?
2
3
4
5

Answers

Answer:

4.

Step-by-step explanation:

One line of symmetry is horizontal ( through the centre of the horizontal part of the cross).

Another is a vertical line through the centre of the vertical part.

Then there are 2 diagonal lines of reflectional symmetry.

The answer is 4 lines of symmetry

Can someone help me with this question please?

Answers

Answer:

If the ratio of edge lengths is 3:5, I'm going to assume that the perimeters are going with the same ratio.

Therefore, the ratio would be 345:575.

Hope this is right and helps :)

I need help on this

Answers

Answer:

y = x+5

Step-by-step explanation:

The y intercept is 5  ( where it crosses the y axis)

We need two points to find the slope

(0,5) and (1,6)

The slope is

m = (y2-y1)/(x2-x1)

    = (6-5)/(1-0)

   = 1/1

    =1

The slope intercept is

y = mx+b

y   = 1x +5

y = x+5

Answer:

y = x + 5

Step-by-step explanation:

Slope intecept form: y = mx + b

y = x + 5

It is just x because the slope is 1/1 or rise over run. The intercept is 5 because the line crosses the y axis at the point 5.

The water usage at a car wash is modeled by the equation W(x) = 4x3 + 6x2 − 11x + 7, where W is the amount of water in cubic feet and x is the number of hours the car wash is open. The owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. The amount of decrease in water used is modeled by D(x) = x3 + 2x2 + 15, where D is the amount of water in cubic feet and x is time in hours.

Write a function, C(x), to model the water used by the car wash on a shorter day

Answers

Answer:

The second option.

Step-by-step explanation:

We are trying to find what is W(x) - D(x).

(4x^3 + 6x^2 - 11x + 7) - (x^3 + 2x^2 + 15)

= 4x^3 - x^3 + 6x^2 - 2x^2 - 11x + 7 - 15

= 3x^3 + 4x^2 - 11x - 8

This corresponds to the second option.

Hope this helps!

A function, C(x), to model the water used by the car wash on a shorter day will be 3x³ + 4x² - 11x - 8

What is an equation?

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that:-

The water usage at a car wash is modelled by the equation W(x) = 4x³ + 6x² − 11x + 7, where W is the amount of water in cubic feet and x is the number of hours the car wash is open. The amount of decrease in water used is modelled by D(x) = x³+ 2x² + 15, where D is the amount of water in cubic feet and x is time in hours.

Now the amount of water is cut from the total water usage so to find out the new model c(x) we need to subtract the decrease in water from the total water usage.

We are trying to find what

C(x)  =  W(x)   -    D(x)

C(x)  =   (  4x³   +   6x²  −   11x   +  7, )  -  (  x³   +  2x²  +  15  )

C(x)   =   4x³  -  x²  +  6x²  -  2x³  - 11x  +  7  - 15

C(x)   =   3x³  +  4x²  -  11x  -   8

Therefore A function, C(x), to model the water used by the car wash on a shorter day will be 3x³ + 4x² - 11x - 8

To know more about equations follow

https://brainly.com/question/2972832

#SPJ5

Identify the fallacies of relevance, weak induction, presumption, ambiguity, and illicit transference committed by the following arguments, giving a brief explanation for your answer. If no fallacy is committed, write "no fallacy." When I visited Dr. Ames about my cholesterol, she insisted that I go on a statin drug. She says everybody should be on a statin. And when I saw Dr. Collins for depression, he prescribed Prozac. And when the Prozac gave me nausea, he prescribed Zofran to stop the nausea. Doctors are all the same. They all take their orders from the pharmaceutical industry.

Answers

Answer:

Hasty generalization fallacy

Step-by-step explanation:

Fallacy can be said to be a reasoning which leads to the wrong interpretation of a statement or an argument. Although some people intentionally make fallacious statements just to score cheap points or to please the listening audience, but some make fallacious unknowingly, either due to carelessness or by being lackadaisical.

In this case the writer, without enough investigation and proof, comes to a very hasty conclusion that "all doctors are the same". This is termed a hasty conclusion because the writer only had dealings with just two docotors(Dr. Ames and Dr. Collins). So saying all doctors are the same just because of two instance is a rather rash statement.

Therefore, the fallacy commited by the writer here is a fallacy of hasty generalization.

Hasty generalization fallacy occurs when someone has a limited information on a population but makes a conclusion based on a larger population than he/she should.

What is the length of arc FE?

Answers

Answer:

4.42

Step-by-step explanation:

Angles A and C are identical because the two circles are similar.

The arc length formula is s = rФ, where r is the radius and Ф is the central angle.

If we know s and r, then the central angle Ф is s/r, or, in this case,

Ф = 8.84/5.

Now let's find the length of the arc EF:  s = rФ becomes:

s = (2.5)(8.84/5) = 4.42


A baker is making cookies. She uses 3 cups of flour for every 8 oz of chocolate chips
How many cups of flour are needed with 192 oz of chocolate chips?

Answers

Answer: 72cups

Step-by-step explanation:

there are 8oz in a cup, so 8oz x 3cups = 24oz

[tex]\\ \frac{24}{8} \ = \frac{x}{192} \\(24) (192) = 8x\\(3) (192) = x\\576=x\\[/tex]

[tex]\frac{576}{8} = 72cups[/tex]

The baker will need 72 cups of flour for 192oz of chocolate chips.

Express 5cm as a fraction of 1m. Pls explain and solve well. Thank u. Anyone that answers will be marked as brainliest answer.

Answers

Hello!

Answer:

[tex]\boxed{ \bf The~fraction~is~5/100~or~1/20~when~reduced.}[/tex]

_____________________________________________Explanation:

There are 100 centimetres in a metre. So, our denominator will be 100.

The numerator is 5 because that is the number of centimetres.

⇒ [tex]\frac{5}{100}[/tex]

This fraction can be reduced, since 5 goes into the denominator evenly.

5 ÷ 5 = 1

100 ÷ 5 = 20

So, our reduced fraction is [tex]\frac{1}{20}[/tex]

insert four irrational numbers between 3 root 2 and 2 root 3

Answers

Answer:

         3√2  >  √17  >  √15  >  √14  >  √13 > 2√3

Step-by-step explanation:

[tex]3\sqrt2=\sqrt{3^2\cdot2}=\sqrt{18}\\\\2\sqrt3=\sqrt{2^2\cdot3}=\sqrt{12}\\\\18>17>15>14>13>12\ \implies\ 3\sqrt2>\sqrt{17}>\sqrt{15}>\sqrt{14}>\sqrt{13}>2\sqrt{3}[/tex]

{√16 = 4 is rational}

Which of the following numbers is not part of the solution to x ≤ -2? * -2 * -2.45 * -8 * -1.76

Answers

Answer:

-1.76

Step-by-step explanation:

-2 is equal to -2, so it works (greater or less than -2)

-2.45 is less than -2, so it works

-8 is less than -2, so it works

-1.75 is greater than -2, so it doesn't work

Solve this a² ÷ a⁴ × a²

Answers

Step-by-step explanation:

a^4  - a^4 = (a^2 +a^2)(a^2-a^2)

a^4 - a^4 = (a^2 + a^2)(a+a)(a-a)

there is no need of this solution, because it equal to 0 because a^4 - a^4 will be equal then it will be 0

 i hope this will help you

Answer:

Hello There!

~~~~~~~~~~~~~~~

a² ÷ a⁴ × a² =

1

Step-by-step explanation: Simplify the expression.

Hope this helped you! Brainliest would be nice!

☆_____________❤︎______________☆

Stephanie wants to buy 's' tomato plants, and Diego wants to by 'd' tomato plants. Each plant costs $7. Stephanie will use a coupon that will give them $25 off the total cost of all their plants. Which expression represents the total cost of all the plants with the discount? *

Answers

Answer:

7·(s + d) - 25

Step-by-step explanation:

if each plant cost $7

and there are two plants so its 7 times (s+d)

and then the discount so its -25

hope this helps

❗️5 points❗️
4. State the slope of the line.
A. 1
B. 0
C. undefined
D. -4

Answers

Answer:

C. undefined.

Step-by-step explanation:

Find the slope of the line, using the following equation:

m = (y₂ - y₁)/(x₂ - x₁)

Find two points that are located on the line.

Let:

(x₁ , y₁) = (-4 , 0)

(x₂ , y₂) = (-4 , 1)

Plug in the corresponding numbers into the corresponding variables.

m = (1 - 0)/(-4 - (-4))

Note that when you have two negative signs directly next to each other, it becomes an addition:

m = (1)/(-4 + 4) = 1/0

You cannot have a slope of rise 1, run 0, so your answer is undefined.

C. undefined.

~

Helppp!!!! please!!!

Answers

Answer:

[tex]\boxed{Area = 32.5 mm^2}[/tex]

Step-by-step explanation:

Area of Triangle = [tex]\frac{1}{2} (Base)(Height)[/tex]

Where base = 13 mm, Height = 5 mm

Area = 1/2 (13)(5)

=> Area = 1/2 (65)

=> Area = 32.5 mm^2

Answer:

c. 32.5 mm²

Step-by-step explanation:

The equation for the area of a triangle is a=1/2bh. In this equation you basically multiply the length of the base of the triangle times the height of the triangle and divide that by 2 to get the area. So, you would take 13, the base, and multiply it by 5, the height to get 65. Then, you would divide that by 2 to get 32.5 mm².

Draw a picture of the standard normal curve and shade the area that corresponds to the requested probabilities. Then use the standard normal table to find the following probabilities. Enter the probabilities as decimals. Enter the final answer only.
1.P(z>1.38)=
2.P(1.233.P(z<−0.42)=
3.P(z<−0.42)=
4. P(−2.645.P(z<3.04)=
5. P(z<3.04)
6.P(07.P(z>−2.43)=
7.P(z>−2.43)=

Answers

Answer:

(1) P (z > 1.38) = 0.08379

(2) P (z < - 0.42) = 0.33724

(3) P (z < 3.04) = 0.99882

(4) P (z > -2.43) = 0.00755

Step-by-step explanation:

(1)

Compute the value of P (z > 1.38) as follows:

[tex]P(z>1.38)=1-P(z<1.38)\\=1-0.91621\\=0.08379[/tex]

(2)

Compute the value of P (z < -0.42) as follows:

[tex]P(z<-0.42)=1-P(z<0.42)\\=1-0.66276\\=0.33724[/tex]

(3)

Compute the value of P (z < 3.04) as follows:

[tex]P(z<3.04)=0.99882[/tex]

(4)

Compute the value of P (z > -2.43) as follows:

[tex]P(z>-2.43)=1-P(z<2.43)\\=1-0.99245\\=0.00755[/tex]

HELP ASAP HELP PLEASE ASAP

Answers

Answer:

WXYZ can not be a rectangle because consecutive sides are not perpendicular to each other.

Step-by-step explanation:

The given vertices are W(-4,3), X(1,5), Y(3,1) and Z(-2,-1).

Plot these points on coordinate plane and draw the quadrilateral as shown below.

[tex]Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Using this formula, we get

[tex]m_{WX}=\dfrac{5-3}{1-(-4)}=\dfrac{2}{5}[/tex]

[tex]m_{XY}=\dfrac{1-5}{3-1}=\dfrac{-4}{2}=-2[/tex]

Now,

[tex]m_{WX}\times =\dfrac{2}{5}\times (-2)=-\dfrac{4}{5}\neq -1[/tex]

Here, WX and XY are two consecutive sides of quadrilateral but the product of their slopes is not equal to -1. It means they are not perpendicular to each other.

Since, all interior angles of a rectangle are right angles, therefore, WXYZ can not be a rectangle.

como resuelvo este ejercicio de matematica x +824 = 6 789 en propiedad uniforme

Answers

estero que esto de ayudo

Find the following information using the given image.

Answers

Answer:2.9

3

Step-by-step explanation:

The origin is at (1, 1): that is, the origin is at position 1 on the x-axis and at position 1 on the y-axis.

Answers

Answer: What is the question? If you could be more specific I could try to help but there is no question here.

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

just did it

The probability of pulling out a bag of colored marbles is 2:5. If you were to pull colored marbles out of the bag one at a time, and putting the marble back each time for 600 tries, approximately how many time would you select a green marble?? ( explanation too) 7th grade Math

Answers

THIS IS THE COMPLETE QUESTION BELOW;

The probability of pulling a green marble out of a bag of colored marbles is 2:5. If you were to pull colored marbles out of the bag one at a time, and putting the marble back each time for 600 tries, approximately how many time would you select a green marble?? ( explanation too) 7th grade Math

Answer:

We would approximately pick a green marble 240 times

Step-by-step explanation:

Given from the question the probability of pulling a green marble out of a bag of colored marbles is 2:5

Let us denote the number of trials as X

Now the approximately number of times a green marble can be selected would be

=2/5 times

From the question we are given 600 trials

which implies our x=600

Therefore, the number of times we would pick a green marble is:

2/5 × 600 times

≈ 240 times

Therefore, we would approximately pick a green marble 240 times

Please solve part h you have to find thr value of x

Answers

Answer:

x=301

Step-by-step explanation:

first thing you must know the sum of angle

for this question the polygon has 6 sides (if you connect B and D)

so based on formula (n-2)×180; n is number of side

(6-2)×180=720

so the sum of angle in the polygon is 720

to find x you just need to subtract 720 with all the angle given in the diagram. (and don't forget the 90 degree that made from connected line B and D)

x=720-118-87-34-90-90

x=301

Write the answer using scientific notation.
(2 x 10^13)^-2

Answers

Answer:

2.5 * 10^-27.

Step-by-step explanation:

(2 x 10^13)^-2

= 2^-2 x 10^-26

= 1/2^2 x 10^-26

= 0.25 x 10^-26

= 2.5 * 10^-27.

━━━━━━━☆☆━━━━━━━

▹ Answer

2.5 x 10⁻²⁷

▹ Step-by-Step Explanation

(2 x 10¹³)⁻²

2⁻²(10¹³)⁻²

0.25 x (10¹³)⁻²

0.25 x 10⁻²⁶

2.5 x 10⁻²⁷

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Simplest form w^3-w(w^2+2w-1)+2w

Answers

Answer:

[tex] - 2 {w}^{2} + 3w[/tex]

Solution,

[tex] {w}^{3} - w( {w}^{2} + 2w - 1) + 2w \\ = {w}^{3} - {w}^{3} - 2 {w}^{2} + w + 2w \\ = - 2 {w}^{2} + 3w[/tex]

Some rules:

[tex]( + ) \times ( + ) \ = ( + ) \\ ( - ) \times ( + ) = ( - ) \\ ( + ) \times ( - ) = ( - ) \\ ( - ) \times ( - ) = ( + )[/tex]

Hope this helps...

Good luck on your assignment..

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