2.5 kg of potatoes cost £1.40
Work out the cost of 4.25 kg of potatoes.

Answers

Answer 1

Step-by-step explanation:

if 2.5kg=£1.40

then 4.25kg=!

then cross multiply

4.25×1.40=2.5

5.95÷2.5kg=£2.38

Answer 2

Answer:

4.25 kg = £2.38

Step-by-step explanation:

The formula for working out the price per quantity is : [tex]\frac{Price}{Amount}[/tex]

To work this out you would first need to convert the mass of 2.5 kilograms into grams. You can do this by multiplying 2.5 by 1000, this gives you 2500 grams. This is because 1 Kg is equivalent to 1000 g and so by multiplying it by 1000 we are converting the kilograms into grams.

Then the next step is to divide the price of £1.40 by the quantity of 2500, this gives you 0.00056. This is because we are working out how much it costs for 1 g of potatoes.

Now that we know the price per gram we can now start working out the price of 4.25 kg. You can do this by first multiplying the mass of 4.25 kg by 1000, this gives you 4250. This is because we are converting the kilograms into grams.

The final step is to multiply the price per gram which is 0.00056 by 4250, this gives you £2.38.

1) Multiply 2.5 by 1000.

[tex]2.5*1000=2500[/tex]

2) Divide 1.40 by 2500.

[tex]1.40/2500=0.00056[/tex]

3) Multiply 4.25 by 1000.

[tex]4.25*1000=4250[/tex]

4) Multiply 0.00056 by 4250.

[tex]0.00056*4250=2.38[/tex]


Related Questions

If you are given a paper which has lines which are the length of a needle apart, and then you repeated drop that needle onto the paper, the probability that the needle with cut the line is:

Answers

Answer:

The correct option is;

[tex]\frac{1}{\pi }[/tex]

Step-by-step explanation:

Here we have that

[tex]Probability = \frac{Number \, of \, required\, outcomes}{Number \, of \, possible\ outcomes} = \frac{Dimension \, of \, the \, line}{Size \, of \, the \ needle} = \frac{l \times D}{\pi \times D \times l } = \frac{1}{\pi }[/tex]

Therefore, the probability that the needle will cut the line = 1/π.

Sue invested $1,000 at an interest rate of 4% compounded semiannually. How much money

would she have in 3 years?

Answers

Answer:

She would have $1,126.16 in 3 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

In this question:

Invested 1000, which means that [tex]P = 1000[/tex].

Interest of 4%, so [tex]r = 0.04[/tex]

Semianually is twice a year, so [tex]n = 2[/tex]

How much money would she have in 3 years?

This is A(3).

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(3) = 1000(1 + \frac{0.04}{2})^{6} = 1,126.16[/tex]

She would have $1,126.16 in 3 years.

Which expression is equivalent to 3(6m)+m
3
6
m
+
m
?

Answers

Answer:

some Equivalent expressions to 3(6m)+m is;

18m+m

6(3m)+m

2(9m)+m

19m

Step-by-step explanation:

Complete the steps for solving 7 = –2x2 + 10x.

Factor out of the variable terms.
inside the parentheses and on the left side of the equation.
Write the perfect square trinomial as a binomial squared.
Divide both sides by –2.
Use the square root property of equality.
Add to both sides.

Answers

Answer:

x = ( √11 + 5 ) / 2, and x = ( - √11 + 5 ) / 2

Step-by-step explanation:

Let us solve by completing the square;

7 = - 2x^2 + 10x, ⇒ Switch sides,

- 2x^2 + 10x = 7, ⇒ Divide both sides by - 2,

x^2 - 5x = - 7 / 2, ⇒ Write the equation in the form x^2 + 2ax+ a^2, ( x + a )^2, solving for the value of a,

2ax = - 5x,

a = - 5x / 2x,

a = - 5 / 2, ⇒ Add a^2 ⇒ ( - 5 / 2 )^2 to either side of equation,

x^2 - 5x +  ( - 5 / 2 )^2 = - 7 / 2 + ( - 5 / 2 )^2, ⇒ Simplify,

( x - 5 / 2 )^2 = 11 / 4,

| x - 5 / 2 | = √ ( 11 / 4 ), Solve for value( s ) of x,

Answer; x = ( √11 + 5 ) / 2, and x = ( - √11 + 5 ) / 2

The solutions to the equation are x = 5/2 + √(11/2) or x = 5/2 - √(11/2).

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

First, we need to rewrite the equation in standard form:

-2x² + 10x - 7 = 0

Next, we can factor out -2 from the variable terms:

-2(x² - 5x) - 7 = 0

To complete the square, we need to add and subtract the square of half the coefficient of x:

-2(x² - 5x + 25/4 - 25/4) - 7 = 0

Simplifying.

-2((x - 5/2)² - 25/4) - 7 = 0

Distributing the -2 and simplifying further:

-(x - 5/2)² + 25/2 - 7 = 0

Combining like terms:

-(x - 5/2)² + 11/2 = 0

Adding 11/2 to both sides:

-(x - 5/2)² = -11/2

Dividing both sides by -1:

(x - 5/2)² = 11/2

Taking the square root of both sides (remembering to consider both the positive and negative roots):

x - 5/2 = ± √(11/2)

Adding 5/2 to both sides:

x = 5/2 ± √(11/2)

Thus,

The solutions to the equation are x = 5/2 + √(11/2) or x = 5/2 - √(11/2).

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Trapezoid EFGH is inscribed in a circle, with [tex]EF \parallel GH[/tex]. If arc GH is 70 degrees, arc EH is x^2 - 2x degrees, and arc FG is 56 - 3x degrees, where x > 0, find arc EPF, in degrees.

Answers

Answer:

Arc EPF is 240°

Step-by-step explanation:

Since the quadrilateral, EFGH is a trapezoid and EF is parallel to GH, we have;

∠HGF + ∠GFE = 180°

∠GHE + ∠GFE = 180°

∠HGF + ∠HEF = 180°

∴∠HEF = ∠GFE

In ΔHEF and ΔGFE

∠EHF = ∠EGF (Angles subtending the same segment)

With side EF common to both triangles and ∠HEF = ∠GFE , we have;

ΔHEF ≅ ΔGFE (Angle Angle Side rule)

Hence, side FG = EH

For cyclic trapezoid side FG = EH

The base angles subtended by GH = 70

Arc EH = x² - 2·x

Arc FG = 56 - 3·x

Therefore;

70 + x² - 2·x + 56 - 3·x + arc EPF = 360 .............(1)

Also since the equation of a circle is (x-h)² + (y-k)² = r², where the center of the circle is (h, k), then as EF is a displacement of say z from GH, then arc EH = FG which gives;

x² - 2·x = 56 - 3·x

x² - 2·x - 56 + 3·x = 0

x² + x - 56 = 0

(x - 7)(x + 8) = 0

Therefore, since x > 0 we have x = 7

Plugging in the value of x into the equation (1), we have

70 + 7² - 2·7 + 56 - 3·7 + arc EPF = 360 .............(1)

70 + 70 + arc EPF = 360

arc EPF = 360 - 140 = 240°.

I NEED HELP NOWwwwwwww

Answers

Answer:

523 cm^3

Step-by-step explanation:

The volume of a sphere  is

V = 4/3 pi r^3

V = 4/3 (3.14) (5)^3

V = 523.33333

Rounding to the nearest whole number

V = 523

I need help very urgent

Answers

Remember: volume=length x width x height

So  i think its 15, 15, and neither of them have greater volume.

Describe two different ways you could change the values in the table so that the answer to problem 6 is different.

Answers

Answer:

Um theres no question or picture. Or document.

Step-by-step explanation:

Yup no photo or anything so sadly no one can answer

Factor the expression 2x4y – 18x2y3 completely.

A. 2x2y(x2 – 9y2)

B. 2x2y(x – 3y)(x + 3y)

C. 2x2y(x – 3y)2

D. 2x2y(x – 9y)(x + 2y)

Answers

Answer:

B

Step-by-step explanation:

[tex]2x^{4}y - 18x^{2}y^{3}[/tex]

Both sides have [tex]x^{2}[/tex]

[tex]x^{2} (2x^{2}y - 18y^{3})[/tex]

Both sides have y

[tex]yx^{2} (2x^{2} - 18y^{2})[/tex]

Both sides have 2

[tex]2yx^{2} (x^{2} - 9y^{2})[/tex]

Rule : [tex]x^{2} - y^{2} = (x+y)(x -y)[/tex]

[tex]x^{2} = x.x\\9y^{2} = 3y. 3y[/tex]

[tex](x^{2} - 9y^{2}) = (x +3y) (x-3y)[/tex]

Final:

[tex]\red{ 2 {x}^{2} y(x - 3y)(x + 3y)}[/tex]

Hope this helps ^-^

The factored expression is 2x²y(x + 3y)(x- 3y), and option (B) is correct.

What is Factorization?

The act of expressing a number or other mathematical object as the sum of numerous factors is known as factorization.

The given expression is 2x⁴y-18x²y³.

Factor the expression as follows:

2x⁴y-18x²y³

= 2x²y(x² - 9y²)

= 2x²y(x² - (3y)²)

= 2x²y(x + 3y)(x- 3y)

Hence, the factored expression is 2x²y(x + 3y)(x- 3y), and option (B) is correct.

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what is the length of a diagonal of a cube with a side length of 1 cm?

Answers

Answer:

sqrt3 or about 1.7

Step-by-step explanation:

length^2 + Width^2 + Height^2 = Diagonal^2

so 1 + 1 + 1 = 3, which when square rooted equals

sqrt3 or about 1.7

Answer:

b

Step-by-step explanation:

edg

maya was asked whether the following equation is an identity (2x+3)(x+1) = 2(x+1)^2 + (x+1)

Answers

No their not the first one ends up as 2x^2 plus four x plus four the other one isn’t the same

Answer:

Maya is correct.

Step-by-step explanation:

Khan Academy gave me the answer.

How many solutions does this equation have?

6 − 2z = –2z − 1

Answers

Answer:

No solution

Step-by-step explanation:

6-2z+2z = -1

6 = -1

There are ten dogs at the dog park on a busy Saturday. Two of them are Corgis. What is the probability that a randomly selected dog is a Corgi? Type your answer as a fraction in simplest form.

Answers

Answer: 1/5

Step-by-step explanation:

From the question, there are ten dogs at the dog park on a busy Saturday and two of the dogs are Corgis. The probability that a randomly selected dog is a Corgi will be the number of Corgis divided by the total number of dogs. This will be:

Probability (Corgi) = Number of Corgis/total number of dogs.

Probability (Corgi) = 2/10

= 1/5

Find and interpret the mean absolute deviation of the data. round your answer to the nearest tenth if necessary.


_______________
| 60 | 105 | 80 | 125 |

| 140 | 95 | 65 | 170 |
----------------------------


please help i have asked this questions 3 times and people keep being like " sorry i need these." or " thx for the points!!!" so please help i don't understand this.

Answers

The mean absolute deviation of the data is 30.

Given data:

To find the mean absolute deviation (MAD) of the given data, we need to follow these steps:

Calculate the mean (average) of the data set.

Find the absolute difference between each data point and the mean.

Calculate the mean of these absolute differences.

Given data set: 60, 105, 80, 125, 140, 95, 65, 170

Step 1:

Calculate the mean

Mean = (60 + 105 + 80 + 125 + 140 + 95 + 65 + 170) / 8

Mean = 840 / 8

Mean = 105

Step 2:

Find the absolute difference between each data point and the mean

|60 - 105| = 45

|105 - 105| = 0

|80 - 105| = 25

|125 - 105| = 20

|140 - 105| = 35

|95 - 105| = 10

|65 - 105| = 40

|170 - 105| = 65

Step 3:

Calculate the mean of the absolute differences

MAD = (45 + 0 + 25 + 20 + 35 + 10 + 40 + 65) / 8

MAD = 240 / 8

MAD = 30

The mean absolute deviation of the given data set is 30.

Interpretation:

The mean absolute deviation represents the average amount by which each data point deviates from the mean. In this case, the MAD of 30 indicates that, on average, the data points in the set deviate from the mean by approximately 30 units.

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how do u do this pls help me understand

Answers

Answer:

10.8

Step-by-step explanation:

5 times what gives 6? 5 times 1.2

So now you just do 9 times 1.2 which is 10.8

Answer:

10.8

Step-by-step explanation:

5*x=6

5*1.2=6

9*1.2=r

r=10.8

A savings account balance is compounded continuously.If the interest rate is 3.1% per year and the current balance is 1077.00 in how many years will the balance reach 1486.73?

Answers

Answer:13.8 is the best answer i could get

Step-by-step explanation:1,077 multiply that × 13.8 =14,862

Noah says: I am thinking of a number (s)
when I multiply it by 7 and add 19, the answer is 124
what is Noah's number
(s) = ?

Answers

Answer:

s = 15

Step-by-step explanation:

s*7 + 19 = 1247s = 124 - 197s = 105s = 105/7s = 15

Please help me now plz I will mark you brainliest

Answers

Answer: C. Outside the circle.

Step-by-step explanation:

To find whether point M lies on the circle, first derive the equation of the circle from the radius and center given.

Equation of a circle:

[tex](x-h)^2 + (y-k)^2=r^2[/tex]

Substitute the coordinates (0, 0) for h and k, and 2 times the square root of 3 for r:

[tex]x^2 + y^2 = 12[/tex]

Now, substitute the points (-3, 2) for x and y:

[tex]9 + 4 = 12[/tex]

This equation is incorrect, as the (x, y) coordinates produce a greater value than the radius of the circle squared. When this occurs, the point given is outside of the circle.

(A point like (1, 1), when substituted into the equation and solved to get 1 + 1 = 12, would be inside the circle, as its (x, y) coordinates produce a smaller value than the radius of the circle squared.)

As such, the correct answer is C.

Dale can type 32 words in 8 minutes.
What is his rate in words per minute?

Answers

4 words... 32 divided by 8 is 4

Answer:4 words per minute.

Step-by-step explanation:32 divided by 8 is 4.

There are some biscuits on a plate. 1 4 of the biscuits are chocolate. The rest of the biscuits are plain. Write down the ratio of the number of chocolate biscuits to the number of plain biscuits. Give your ratio in its simplest form.

Answers

Answer:

1 : 3

Step-by-step explanation:

¼ of the biscuits are chocolate while the rest are plain.

Since a fraction is a part of a whole, 1, then it means that the fraction that are plain is:

1 - ¼ = ¾

Therefore, the ratio of chocolate biscuits to plain biscuits is:

¼ : ¾

To put this in simplest dorm, multiply both sides by 4, we have:

1 : 3

This is the ratio of chocolate biscuits to plain biscuits.

The ratio of the numbers of the chocolate biscuits to plain biscuits to its simplest form is [tex]\mathbf{1:3}[/tex]

In probability, we know that the sum of all the outcomes is usually equal to one.

Given that:

The number of biscuits that are chocolate on the plate is = 1/4

The rest of the biscuits that are plain will be = 1 - 1/4

[tex]= \mathbf{\dfrac{3}{4}}[/tex]

Now, the ratio of the numbers of the chocolate biscuits to plain biscuits to its simplest form is:

[tex]\mathbf{\dfrac{1}{4}:\dfrac{3}{4}}[/tex]

[tex]\mathbf{\dfrac{1}{4} \times \dfrac{4}{3}}[/tex]

= 1 : 3

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A road bike has a wheel diameter of 622 mm. What is the circumference of the wheel? Use 3.14 for Pi.
976.24 mm
976.54 mm
1,852.08 mm
1,953.08 mm

Answers

Answer:

4th option: 1953.08 mm

Step-by-step explanation:

circumference of circle= [tex]\pi d[/tex]

Thus, circumference of wheel

[tex] = 3.14(622) \\ = 1953.08mm[/tex]

Answer:

D.

Step-by-step explanation:

(7i)(3i) help please

Answers

Answer:

-21i

Step-by-step explanation:

[tex]i^{2}[/tex] = -1

7*3=21

21 x -1 = -21

Answer:

-21

Step-by-step explanation:

Write the standard form of the line that passes through the the given points. (3,1) and (-2,3)

Answers

Answer:

Step-by-step explanation:

(3-1)/(-2-3)= -2/5

y - 1 = -2/5(x-3)

y - 1 = -2/5x + 6/5

y - 5/5 = -2/5x + 6/5

y = -2/5x + 11/5

standard form is

5y = -2x + 11

2x + 5y = 11

4/x - 3/y = 1 ; 6/x + 15/y = 8 solve this equation​

Answers

Answer:

x=2

y=3

Solution:

First we find common denominators. It is "xy". Then we multiply numerators by common denominator. We get followings:

(4y-3x)/xy=1; (6y+15x)/xy=8

Then

4y-3x=xy;

6y+15=8xy

Multiply first equasion by 5

20y-15x=5xy

Now we add two equasions to get one

20y-15x=5xy

6y+15x=8xy

We get

26y=13xy

Cut "y" and we will find "x"

26=13x

x=2

Put x value into the first equasion(4y-3x=xy) to find out "y"

4y-6=2y

2y=6

y=3

Which of the following are geometric series? 2 + 5 + 8 + 11 + 14 + 17 1 + 1 + 2 + 3 + 5 + 8 + 13 + 21 –256 + 64 – 16 + 4 – 1

Answers

Answer:

-102

Step-by-step explanation:

Answer:

1 and 4

Step-by-step explanation:

Suppose that the mean time that visitors stay at a museum is 94.2 minutes with a standard deviation of 15.5 minutes. The standard error of the mean,ox, is 3.1. A random sample of 25 of the times chosen. What interval captures 68% of the means for random samples of 25 scores?

Answers

Answer:

[tex] 94.2 -0.994*3.1 = 91.1186[/tex]

[tex] 94.2 +0.994*3.1 = 97.2814[/tex]

And the 68% confidence interval is given by (91.1186, 97.2814)

Step-by-step explanation:

For this case we know that mean time that visitors stay at a museum is given by:

[tex] \bar X = 94.2 [/tex]

The standard deviation is given by:

[tex] s= 15.5[/tex]

And the standard error is given by:

[tex] SE = \frac{s}{\sqrt{n}} =3.1 [/tex]

And we want to interval captures 68% of the means for random samples of 25 scores and for this case the critical value can be founded like this using the normal standard distribution or excel:

[tex] z_{\alpha/2}= \pm 0.994[/tex]

We can find the interval like this:

[tex] \bar X \pm ME[/tex]

And replacing we got:

[tex] 94.2 -0.994*3.1 = 91.1186[/tex]

[tex] 94.2 +0.994*3.1 = 97.2814[/tex]

And the 68% confidence interval is given by (91.1186, 97.2814)

John's dog Fido is tied to a post in his backyard. Fido's leash is 8.5 feet long. Determine how much circular roaming area Fido has in the backyard to the nearest square foot. (Use 3.14 to represent π)

Answers

Answer:

227 ft^2

Step-by-step explanation:

Here, we are tasked with calculating the roaming area that Fido has

Calculating this is same as calculating the area of circle that has a radius which is equal to the length of the leash

Mathematically, the area would be

A = π * r^2

A = 3.14 * 8.5^2

A = 226.865 ft^2

To the nearest square foot, this is 227 ft^2

can someone please help me ill give a brainliest

Answers

Answer:

C

Step-by-step explanation:

-

Answer:

yes

Step-by-step explanation:

5x – (9x + 14) < 3(x + 10) - 2

Answers

Sorry I don’t know I just need points to ask my question

Answer:

5x-(9x+14)=−4x−14

3(x+10)-2=3x+28

So, 3(x+10)-2 is greater than 5x-(9x+14)

What is the error in the flow chart

Answers

there is no flow chart

Answer:

WHAT FLOWCHART?

Step-by-step explanation:

Other Questions
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