Pip and Sara win some money and share it in the ratio 7:5. Pip gets £30 more than Sara. How much did Sara get?

Answers

Answer 1

Answer:

75 sweets.

Step-by-step explanation:

Pip gets 7/(7+5) = 7/12 .

Let Sara get x sweets so Pip gets 7/5 x sweets.

7/5 x = x + 30

2/5 x = 30

x = 5/2 * 30 =  75.

Sara gets 75 sweets.

Answer 2

Answer:

Sara has £75

Step-by-step explanation:

Pip : Sara

7   :    5

If Pip gets £30 more than Sara, then

5x+30=7x

Where x is £?

Subtract 5x from both sides

30=2x

Divide both sides by 2

x=£15

£15

Pip : Sara

105:  75


Related Questions

A rectangle on a coordinate plane has vertices Q(Negative 1, 1), R(6, 1), S(6, Negative 8), and T(Negative 1, Negative 8). What are the dimensions of the rectangle?

Answers

Answer:

The base is 7 and the height is 9.

Step-by-step explanation:

Answer:

The base is 7 and the height is 9.

Step-by-step explanation:

i got it correct on edge

                                                                                   verified   answer

Karen bought 4⁄5 pound of broccoli and 2⁄10 pound of cauliflower. How many more pounds of broccoli did she buy?

Answers

Answer:

6/10 or 3/5

Step-by-step explanation:

4/5 = 8/10

8/10 - 2/10 = 6/10 or 3/5

⅗ or 6/10

Step-by-step explanation:

4/5=8/10

8/10-2/10=6/10 or ⅗

(N) Northeast

(M) Midwest

(T) South

(W) West










(N) (M) (T) (W) Total

2009 (A) 0.9 1.2 1.9 1.2 5.2

2010 (B) 0.8 1.1 1.9 1.2 5.0

2011 (C) 0.8 1.1 1.9 1.1 4.9

Total 2.5 3.4 5.7 3.5 15.1


Use symbols to describe the given set.


The set of sales of existing homes in 2010 in the West and Midwest

Which one?


W ∩ (B ∪ M)


B ∪ (W ∪ M)


B ∩ (W ∪ M)


B ∩ (W ∩ M)


W ∪ (B ∪ M)


Compute its cardinality.

? million

Answers

Answer:

B ∩ (W ∪ M)2.3 million

Step-by-step explanation:

Apparently, these sets represent sales of existing homes. Then (values of) the homes sold in 2010 are those listed in set B.

The English wording "West and Midwest" doesn't actually mean homes that are categorized as both West and Midwest. There aren't any such homes, because these sets are mutually exclusive. That wording logically means "West or Midwest", so would represent the union W ∪ M.

Then the homes in W∪M that were sold in 2010 will be ...

  B ∩ (W ∪ M) . . . . . matches the 3rd choice on the list

_____

The "cardinality" of a set is the number of elements in the set. Since the sets B and W and M are not shown, we cannot tell the cardinality.

Here, that word is apparently intended to mean the sum of the numbers designated as W and as M. For 2010, we have W=1.2, M=1.1, so ...

  for 2010, W +M = 1.2 +1.1 = 2.3 . . . million

There is also another answer and it is “nether”

Answers

Answer:

It’s only sequence A I think

Step-by-step explanation:

I hope this was helpful

Answer:

Sequence A

Step-by-step explanation:

What is the area of trapezoid ABCD in square centimeters?

Answers

Answer:

99

Step-by-step explanation:

Area of trapezium = 1/2 × (sum of parallel sides × height)

The parallel sides of the trapezium are the left and right edge.

( 9 + 13) = 22

The height is the vertical distance between the parallel sides and when you turn the shape 90degrees towards the left, we would have the parallel sides been the bottom and top edge and the vertical height between will be 9

Hence the area = 1/2 × 22 × 9

= 11 ×9 = 99

You would add the unit if measure.

Petra has 12 pound and ski has nothing. They both receive the same money for doing a delivery job.
Now Petra has three times as much as ski.
How much did they get for the job?

Answers

Answer:

6 pounds

Step-by-step explanation:

Originally

Petra : 12 pounds

Ski: 0 pounds

Delivery job

Petra & Ski: Same amount.

Represent amount with 'D'

Total Amount

Petra: 12 + D pounds

Ski: D pounds.

Petra has three times as much as Ski, meaning

12 + D = 3 (D)

12 + D = 3D

12 = 3D - D

12 = 2D

Divide both sides by 2

6 = D...

Imagine that there are 100 different researchers each studying the sleeping habit of a college freshman. Each researcher takes a random sample size of 50 from the same population of freshman. Each researcher is trying to estimate the population mean hour of sleep freshman get at night, and each one construct a 95% confidence interval for the mean. Approximately how many of these 100 confidence will not capture the true mean

Answers

Answer:

Approximately 5 intervals will not capture the true mean hour of sleep freshman get at night.

Step-by-step explanation:

The (1 - α)% confidence interval for population mean implies that there is a (1 - α) probability that the true value of the mean is included in the interval.

Or, the (1 - α)% confidence interval for the mean implies that there is (1 - α)% confidence or certainty that the true mean value is contained in the interval.

And, if 100 such (1 - α)% confidence interval for the mean are computed then 95 of these 100 interval will consist of the true mean value.

In this case it is provided that 100 researchers estimate the population mean hour of sleep freshman get at night, and each one construct a 95% confidence interval for the mean.

Then approximately 95 of these 100 confidence intervals will capture the true mean hour of sleep freshman get at night. And approximately 5 intervals will not capture the true mean hour of sleep freshman get at night.

The volume of a _________ is equal to ___ the volume of a cylinder that has the same base and height. The formula for the volume of a cone is ___________________. ___ stands for the area of the _____ and ___ is the __________ of the cone. Knowing this, we could quickly find the volume of a cone that has the _______ base and height as a cylinder with a volume of 9 cubic cm. Since the volume of a cone is ____ the volume of a cylinder (with the same base and height), we would multiply 9*__ to obtain a volume of ____ cubic cm.
What do I fill into the blanks?

Answers

Answer:

cone, [tex]\frac{1}{3}[/tex] , [tex]\frac{1}{3} \pi r^{2}h[/tex] , [tex]\pi r^{2}[/tex], base, h, height, same, [tex]\frac{1}{3}[/tex] , [tex]\frac{1}{3}[/tex] , 3

Step-by-step explanation:

The volume of a cone is equal to [tex]\frac{1}{3}[/tex] the volume of a cylinder that has the same base and height. The formula for the volume of a cone is [tex]\frac{1}{3}\pi r^{2}h[/tex].  stands for the area of the base and h is the height of the cone. Knowing this, we could quickly find the volume of a cone that has the same base and height as a cylinder with a volume of 9 cubic cm. Since the volume of a cone is [tex]\frac{1}{3}[/tex] the volume of a cylinder (with the same base and height), we would multiply 9*[tex]\frac{1}{3}[/tex] to obtain a volume of 3 cubic cm.

Which number represents the country of Egypt
A) 1
B) 2
C) 3
D) 4

Answers

Answer:

2

Step-by-step explanation:

the way I remember is that Egypt is always the top right country

2 is the number represents the country of Egypt. Hence, option B is correct.

What country does Egypt belong to?

In 1922, modern Egypt attained independence. Egypt and Syria formed the United Arab Republic from 1958 to 1961. The Arab Republic of Egypt, as it is officially known, has a surface area of 1 million km2, which is more than twice the size of the US State of California or roughly twice the size of France.

Egypt's history as a British colony lasted from 1882, when British troops invaded it during the Anglo-Egyptian War, to 1956, during the Suez Crisis, when the last British troops left Egypt in accordance with the 1954 Anglo-Egyptian Accord.

Modern Standard Arabic, which is used in most written documents and educational institutions, is Egypt's official language. Nevertheless, Modern Standard Arabic primarily describes Arabic's literary form, which is

Thus, option B is correct.

For more information about country does Egypt belong to, click here:

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In the year 2001 Youth Risk Behavior survey done by the U.S. Centers for Disease Control, 747 out of 1168 female 12th graders said they always use a seatbelt when driving. Please construct a 98% confidence interval for the proportion of 12th-grade females in the population who always use a seatbelt when driving. 1) Use R to find the score CI for the proportion of 12th-grade females in the population who always use a seatbelt when driving (please round to 4 decimals).

Answers

Answer:

98% of confidence interval of Population proportion is determined by

(0.60683 ,0.67217)

Step-by-step explanation:

Given the sample size n = 1168

Given 747 out of 1168 female 12th graders said they always use a seatbelt when driving

The sample proportion 'p' = [tex]\frac{x}{n} = \frac{747}{1168} = 0.6395[/tex]

98% of confidence interval of Population proportion is determined by

[tex]p^{-} -Z_{\frac{\alpha }{2} } \sqrt{\frac{p^{-} (1-p^-)}{n} }, p^- +Z_{\frac{\alpha }{2} } \sqrt{\frac{p^-(1-p^-)}{n} } }[/tex]

The tabulated value Z₀.₀₂ score  = 2.326

[tex](0.6395 -2.326 \sqrt{\frac{0.6395(1-0.6395)}{1168} }, 0.6395 +2.326 \sqrt{\frac{0.6395(1-0.6395)}{1168} } })[/tex]

on calculation , we get

(0.6395 -0.03267 , 0.6395 +0.03267)

(0.60683 ,0.67217)

‭0.12109375‬ fraction

Answers

Answer:

31/256

Step-by-step explanation:

0.12109375 = 12109375/100000000

= 31/256

Dividing numerator and denominator by 390625.. we have the simplest solution

You can start out by dividing by 5 the numerator and denominator.you would see this division by 5 goes on 8 times

Or you can start out dividing both numerator and denominator by 25, we see this division goes on 4 times

Answer:

Step-by-step explanation:

0.12109375

=[tex]=\frac{12109375}{100,000,000} \\=\frac{484375}{4,000,000} \\=\frac{19375}{160000} \\=\frac{775}{6400} \\=\frac{31}{256}[/tex]

plz help Marshmello i have 15 more

Answers

Answer:

53

Step-by-step explanation:

so you would subtract 30 from 401 to get 372 then divide it by the number of buses in this case it's 7 to get 53

Rob's boss gave him $100 to buy 7 lunches for a team meeting, After buying the lunches he had $14.25 leftover, How
much did each lunch cost?
A)
$11.75
B)
$12.25
C)
$12.50
D)
$12.75

Answers

Answer:

Each lunch cost $12.25

Step-by-step explanation:

Subtract 14.25 from 100 and then divide that by 7

8/9 Divided by 6/9 = ?
A. 17/54


B. 16/27


C. 4/3


D. 24/5


Answers

Answer:

4/3

Step-by-step explanation:

[tex] \frac{8}{9} \div \frac{6}{9} \\ \\ \implies \: \frac{8}{9} \times \frac{9}{6} \\ \\ \implies \: \frac{8}{1} \times \frac{1}{6} \\ \\ \implies \: {\boxed {\purple{\frac{4}{3} }}}[/tex]

omeone hacked into an employee's computer and erased all of their data. All data for the past three weeks was lost as that was when the employee last performed a backup. Which type of network is the company more than likely using?

Centralized
Client server
GUI
Peer-to-peer

Answers

Answer:

GUI

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Client Server

I’m thinking of an integer. Half of this integer is 3 more than one third of the next integer. What is the integer?""

Answers

Answer:

I think its 6

Step-by-step explanation:

half of 6 is 3

Evaluate 5x3 - 2 + 7 when x= -2.

Answers

Answer:

-995

Step-by-step explanation:

5(-2)^3 - 2 + 7

first you would multiply the 5 by -2

(-10)^3 - 2 + 7

then the exponents

-1000 - 2 + 7

then you would subtract -1000 by 2

-1002 + 7

then add the 7

-995

Lili needs to buy colored pencils . She buys 1 red , 2 yellow and 2 blue pencils . In tatal , she will buy 25 colored pencils . How many yellow pencils will lili expect to buy ?

Answers

Answer:

1+2+2+20=25 yellow pencils

Rewrite the function by completing the square.
g(x) = 2x^2 – 7x + 5
g(x) =...(x+...)^2+...

Answers

Answer:

2(x - [tex]\frac{7}{4}[/tex] )² - [tex]\frac{9}{8}[/tex]

Step-by-step explanation:

Given

2x² - 7x + 5

The coefficient of the x² term must be 1, thus factor out 2 from 2x² - 7x

= 2(x² - [tex]\frac{7}{2}[/tex] x ) + 5

To complete the square

add/ subtract ( half the coefficient of the x- term )² to x² - [tex]\frac{7}{2}[/tex] x

= 2(x² + 2(- [tex]\frac{7}{4}[/tex] )x + [tex]\frac{49}{16}[/tex] - [tex]\frac{49}{16}[/tex] ) + 5

= 2(x - [tex]\frac{7}{4}[/tex] )² - [tex]\frac{98}{16}[/tex] + 5

= 2(x - [tex]\frac{7}{4}[/tex] )² - [tex]\frac{18}{16}[/tex]

= 2(x - [tex]\frac{7}{4}[/tex] )² - [tex]\frac{9}{8}[/tex]

Answer:

g(x) = 2(x - 1.75)^2 - 1.125.

Step-by-step explanation:

g(x) = 2x^2 – 7x + 5

First take the 2 out of the first  terms:

g(x) = 2(x^2 - 3.5x) + 5

Now complete the square on the expression in the parentheses:

g(x) = 2 [ (x - 1.75)^2 - 1.75^2] + 5

g(x) = 2 [ (x - 1.75)^2 - 3.0625] + 5

g(x) = 2(x - 1.75)^2 - 6.125 + 5

g(x) = 2(x - 1.75)^2 - 1.125.

help me Help Marshmello i wasn't born yesterday.

Answers

Answer:

I THINK ITS B

Step-by-step explanation:

Which is the graph of F(x)= sqrt 4x

Answers

The graph of f(x) = sqrt(4x) looks like this

So choose the one that looks like the image attached

The graph has been plotted.

What is a Graph?

Graph is a mathematical representation of relation between two objects.

A graph is plotted between two variables that depicts the relation between them which is helpful in prediction of the pattern of the function that it is following.

A function is a relation between a dependent and an independent variable.

The domain and range of a function is always defined.

A domain is the value that can be an input to the function and a range is all the possible output value that can be obtained from the function.

The function is

F(x)=  √4x

A square root is the factor of a number when multiplied by itself gives the number itself.

A square root function is also called as a radical function represented by

y = √x

the domain of f(x)=√x is x≥0 and the range is y≥0

The graph of the function is plotted and attached with the answer.

To know more about Graph

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find the output, g, when the input, r, is 4.

g = 25 - 3r

g = __

Answers

Answer:13

Step-by-step explanation:

g=25-3(4)

25-12

g=13

Hope this helps

Answer: g = 13

Step-by-step explanation:

g = 25 - 3r

g = 25 - 3(4)

g = 25 - 12

g = 13

What is the volume of a cylinder, in cubic cm, with a height of 19cm and a base
diameter of 10cm? Round to the nearest tenths place.

Answers

Answer:

549.8 cm (cubed)

Step-by-step explanation:

D3lt4 m4th 4n$wer

Which of the following could be the equation of the function below?

On a coordinate plane, a curve crosses the y-axis at y = negative 3. It has a maximum at y = 1 and a minimum at y = negative 3. It goes through 1 cycle at pi.
y = negative 2 cosine (4 (x + pi)) minus 1
y = 2 cosine (x + pi) + 1
y = negative 2 cosine (2 (x + pi)) minus 1
y = 2 cosine (4 (x + pi)) + 2

Answers

Answer:

  y = negative 2 cosine (2 (x + pi)) minus 1

Step-by-step explanation:

The amplitude of the trig function will be half the difference of the minimum and maximum, so is ...

  A = (1 -(-3))/2 = 2

The coefficient of x is 2π divided by the period, so is ...

  B = (2π)/π = 2

The vertical offset is the average of the maximum and minimum:

  C = (1 +(-3))/2 = -1

Since the extreme negative value is at x=0, this can be the opposite of the cosine function:

  y = -A·cos(Bx) +C

The answer choices have a horizontal offset of pi, which does nothing, since the period is pi.

  y = -2cos(2(x+π)) -1

Answer:

C on E2020.

Step-by-step explanation:

Suppose that you are in charge of evaluating teacher performance at a large elementary school. One tool you have for this evaluation is reports of the average student reading test score in each classroom. You also know that across the whole school, the average student reading score was 80 points and the standard deviation in scores was 10 points.
Determine:
(a) If each class has 25 students in it, what is the standard error of the classroom average score?
(b) In what range do you expect the average classroom test score to fall 95% of the time?
(c) What is the approximate probability that a classroom will have an average test score of 79 or higher?
(d) Do you think the probability that a classroom has an average test score of 79 or higher would be greater or smaller if there were only 15 students in a class? Explain your answer in 2-3 sentences.
(e) Do you think the probability that a classroom has an average test score of 79 or higher would be greater or smaller if the standard deviation of individual student reading scores was only 5 points (instead of 10)?

Answers

Answer:

a) Standard error = 2

b) Range = (76.08, 83.92)

c) P=0.69

d) Smaller

e) Greater

Step-by-step explanation:

a) When we have a sample taken out of the population, the standard error of the mean is calculated as:

[tex]\sigma_m=\dfrac{\sigma}{\sqrt{n}}=\dfrac{10}{\sqrt{25}}=\dfrac{10}{5}=2[/tex]

where n is te sample size (n=25) and σ is the population standard deviation (σ=10).

Then, the standard error of the classroom average score is 2.

b) The calculations for this range are the same that for the confidence interval, with the difference that we know the population mean.

The population standard deviation is know and is σ=10.

The population mean is M=80.

The sample size is N=25.

The standard error of the mean is σM=2.

The z-value for a 95% confidence interval is z=1.96.

The margin of error (MOE) can be calculated as:

[tex]MOE=z\cdot \sigma_M=1.96 \cdot 2=3.92[/tex]

Then, the lower and upper bounds of the confidence interval are:

[tex]LL=M-t \cdot s_M = 80-3.92=76.08\\\\UL=M+t \cdot s_M = 80+3.92=83.92[/tex]

The range that we expect the average classroom test score to fall 95% of the time is (76.08, 83.92).

c) We can calculate this by calculating the z-score of X=79.

[tex]z=\dfrac{X-\mu}{\sigma}=\dfrac{79-80}{2}=\dfrac{-1}{2}=-0.5[/tex]

Then, the probability of getting a average score of 79 or higher is:

[tex]P(X>79)=P(z>-0.5)=0.69146[/tex]

The approximate probability that a classroom will have an average test score of 79 or higher is 0.69.

d) If the sample is smaller, the standard error is bigger (as the square root of the sample size is in the denominator), so the spread of the probability distribution is more. This results then in a smaller probability for any range.

e) If the population standard deviation is smaller, the standard error for the sample (the classroom) become smaller too. This means that the values are more concentrated around the mean (less spread). This results in a higher probability for every range that include the mean.

The equation of the line that goes through the point ( 3 , 4 ) and is parallel to the line 3 x + 4 y = 2 can be written in the form y = m x + b

Answers

Answer:

y = -3/4x + 7/4

Step-by-step explanation:

For it to be parallel it needs the same slope. We can find this by putting the equation 3x + 4y = 2 into y = mx + b form and using the m.

3x+4y=2 can be written as y= -3/4x + 1/2

so the m for our new equation is -3/4

now to find b we just plug in the given point

y = -3/4x + b

4 = -3/4(3) + b

b = 4 + (-9/4)

b = 7/4 or b = 1.75

help asap !! will get branliest.​

Answers

Answer:

4096 horses, or 4 to the power of 6

Step-by-step explanation:

(4²)³×4 to the power of 0

We simplify the equation,

(16)³×4 to the power of 0

4096×1 (Since 4 to the power of 0 is 1)

= 4096 horses on the farm which is 4 to the power of 6

- Hope this helps!

z\10 = -12 solve for z

Answers

Answer:

z=-120

Step-by-step explanation:

z\10 = -12

z=-12 x 10

z=-120

Answer:

120

Step-by-step explanation:

z divided by 10 is -12

z is equal to -12 times 10

z equals -120

I need help with this question, I attached a file, so it’s easier to read.

Answers

Hello there!

The median is the middle of the data set. Since we only have 7 numbers, we can arrange it from greatest to least, however the program has already done that. So, to find the median for this data set, all we have to do is simply find the middle number. The median would be 9 for this data set.

Answer:

9

Step-by-step explanation:

The median is the middle number of the set when ordered from least to greatest. We don't have to worry about that because it's already ordered like that. In this case, since there are 7 numbers, the median must be the 4th one, which is 9.

PLEASE HELP ?

Find the length of BC

A: 72

B: 54

C: 40.5

D: 108

Answers

D: 108 is the answer.

Answer:

its 72

Step-by-step explanation:

i did itand it showed 72

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