Marcia and Becky shared some money
in the ratio 1:4
Marcia gets £18 less than Becky. How
much does Marcia receive?

Answer:

[tex]a^7-7a^6b+21a^5b^2-35a^4b^3+35a^3b^4-21a^2b^5+7ab^6-b^7[/tex]

Step-by-step explanation:

There are multiple ways of expanding a polynomial expression to a high degree. One way of doing it is to write out the problem in the multiplication form, multiply (a - b) by itself (7) times.

[tex](a-b)^7[/tex]

[tex]=(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)[/tex]

Now simplify, multiply two terms together,

[tex]=(a^2-2ab+b^2)(a^2-2ab+b^2)(a^2-2ab+b^2)(a-b)[/tex]

Repeat this process,

[tex]=(a^4-4a^3b+6a^2b^2-4ab^3+b^4)(a^3-3a^2b+3ab^2-b^3)[/tex]

Repeat this process one final time,

[tex]a^7-7a^6b+21a^5b^2-35a^4b^3+35a^3b^4-21a^2b^5+7ab^6-b^7[/tex]

Step-by-step explanation:

Answer:

4 batches

Step-by-step explanation:

4.8/1.2 = 4

Answer:

x=-1/7

Step-by-step explanation:

Combine like terms

7x=−1

Then you divide both sides by 7 and then you get x=-1/7 (fraction)

Hope it helps :)

Answer:

the factor pairs of 12 are  1 and 12 , 2 and 6 , 3 and 4

Step-by-step explanation:

The computation of the factor pairs is shown below:

The factor pairs means the two numbers which are multiplied to get the number 12

So it is

1 and 12

2 and 6

3 and 4

Hence, the factor pairs of 12 are  1 and 12 , 2 and 6 , 3 and 4

The same would be relevant

Answer:

The answer is B.

Step-by-step explanation:

Answer:

n = 84.1

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

volumes are width x height x length

4 x 2 x 2 = 16

8 x 2 x 1 = 16

Answer:

Can you attach the figure?

Step-by-step explanation:

Answer:

∠e = 105° because ∠e and the 105° angle are vertically opposite angles

∠h = 75° because ∠h and the 105° angle are supplementary angles

∠f = ∠h = 75° because ∠f and ∠h are vertically opposite angles

∠c = 105° because ∠c and the 105° are corresponding angles

∠b = 75° because ∠b and ∠f are corresponding angles

∠a = 105° because ∠a and ∠e are corresponding angles

∠d = 75° because ∠d and ∠h are corresponding angles

Step-by-step explanation:

The given diagram includes two parallel lines having a common transversal that crosses both (parallel) lines

By sing angle properties, we have;

∠e = 105° because ∠e and the 105° angle are vertically opposite angles formed by the same two straight lines and are therefore always equal

∠h = 180° - 105° = 75° because ∠h and the 105° angle are angles that form a straight line and are therefore supplementary angles which are angles that sum up to 180°. Therefore, ∠h + 105° = 180°, therefore ∠h = 75°

∠f = ∠h = 75° because ∠f and ∠h are vertically opposite angles

∠c = 105° because ∠c and the 105° are corresponding angles and corresponding angles are equal

Similarly, we have;

∠b = ∠f = 75° because ∠b and ∠f are corresponding angles

∠a = ∠e = 105° because ∠a and ∠e are corresponding angles

∠d = ∠h = 75° because ∠d and ∠h are corresponding angles

Answer:

2 to the power of 2 times three to the power of 2

3 to the power of 2 times 5 to the power of 2

6 to the power of 2 times 7 to the power of 3

7 to the power of 2 times 5 to the power of 3

3 to the power of 2 times 5 to the power 2 times 7 to the power of 2

Step-by-step explanation:

Answer:

[tex]V=10x^2+35x+15[/tex]

Step-by-step explanation:

Given that,

Length = (2x+1)

Width = (x+3)

Height = 5

We need to find an expression for the volume of this cuboid . The formula for the volume of cuboid is given by :

[tex]V=lbh[/tex]

So,

[tex]V=(2x+1)\times (x+3)\times 5\\\\=(2x+1)\times (5x+15)\\\\=10x^2+30x+5x+15\\\\=10x^2+35x+15[/tex]

So, the volume of this cuboid is equal to [tex]10x^2+35x+15[/tex].

Answer:

6240

Step-by-step explanation:

52,000*12%=6240

Answer:

X=11

Step-by-step explanation:

4 x 2 - X + 3 = 0

multiply 4 x 2

=8

subtract the 3 and 8 to the other side which will made it

-X = -11

and this can be divided by a negative so the answer will be

X = 11

Answer:

Your answer would be

X^2-7

Step-by-step explanation:

Hope it helps .

Good luck .

Answer:

she is correct

Step-by-step explanation:

along with color she also has the type

like type:leather= color brown ,black ,blue

cloth= tan and gray

multiplication

type =2

leathers color =3

cloth color = 2

= 12

Answer: Galaxy c is the farthest

Step-by-step explanation:

Answer:

35 dollars

Step-by-step explanation:333-18=315 dollars

315/9=35 dollars for each book

Answer: 308

Step-by-step explanation:

i guessed and got it right lol sorry but no explanation

Answer:

x= 0 I believe the answer would be false.

Answer:

Many northerners were opposed to the Mexican-American War. Many southerners supported this conflict. A big reason for the different viewpoints regarding our involvement in this war was the issue of slavery. ... The northerners were concerned that many new states would be created from the lands we would receive from Mexico

Answer:

4 square  units

Step-by-step explanation:

Answer:

The length of the missing side is 7x-5

Step-by-step explanation:

Here, we want to get the value of the missing length

Mathematically, the perimeter of a triangle can be obtained by adding the lengths of its sides

So by subtracting the sum of the lengths of the two given sides from that of the perimeter, we get the length of the third side of the triangle

mathematically, we have this as;

13x-7 -(4x + 2 + 2x-4)

13x-7 - (4x + 2x + 2-4)

= 13x-7 - (6x -2)

= 13x -7 -6x + 2

= 13x-6x -7 + 2

= 7x -5

Answer:

Step-by-step explanation:

2.9

1.9

-1.6

Given:

The given data set are:

8,12,14,14,20

8,12,14,14,22

9,13,14,15,19

All of the above

To find:

The set of data that has the highest interquartile range(IQR).

Solution:

We know that, the interquartile range(IQR) of a data set is the difference between the third quartile and first quartile.

[tex]IQR=Q_3-Q_1[/tex]

All the given data set has five values in ascending order. So, the first value is the minimum value, second value is the first quartile, third value is the median, the fourth value is the third quartile and the fifth value is the maximum value.

For 8,12,14,14,20,

[tex]IQR=14-12[/tex]

[tex]IQR=2[/tex]

For 8,12,14,14,22,

[tex]IQR=14-12[/tex]

[tex]IQR=2[/tex]

For 9,13,14,15,19,

[tex]IQR=15-13[/tex]

[tex]IQR=2[/tex]

All interquartile ranges are equal. So, all the data sets has t he highest interquartile range.

Therefore, the correct option is D.

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Total = x^2 + 14x + 24[/tex]

[tex]Area\ I = x^2[/tex]

[tex]Area\ IV = 24[/tex]

Required

True about area II and III

The question is incomplete; so, I will answer using general knowledge.

If the total area is:

[tex]Total = x^2 + 14x + 24[/tex]

And there are 4 areas, then;

[tex]Total = Area\ I + Area\ II + Area\ III + Area\ IV[/tex]

Rewrite as:

[tex]Total = Area\ I + Area\ IV+ Area\ II + Area\ III[/tex]

This gives:

[tex]x^2 + 14x + 24 = x^2 + 24+ Area\ II + Area\ III[/tex]

Collect like terms

[tex]x^2 -x^2 + 14x + 24 -24= Area\ II + Area\ III[/tex]

[tex]14x = Area\ II + Area\ III[/tex]

Rewrite as:

[tex]Area\ II + Area\ III = 14x[/tex]

So, the sum of areas III and IV must be 14x

Answer: complaints of the wrongs done to the colonists.