Work out
21
% of
£
944.13
Give your answer rounded to 2 DP. I need right awnsers you can use calculators

Answer:

? = 4

Step-by-step explanation:

2/13 + ?/13 = 6/13        (Given)

-2/13               -2/13      (Isolate the unknown through subtraction)

?/13 = 6/13 - 2/13        

?/13 = 4/13                    (Combine like terms)

? = 4

Because the demoninators are the same, the unknown value can be found using isolation techniques. To find the unknown, subtract 2/13 from both sides. This eliminates the 2/13 from the right side while obeying the rule that states that what is done to one side must to done to the other. This leaves the ?/13 by itself on the right and 4/13 on the left. Again, because the demoninators are identical, the unknown value must be 4.

In order to find the value of x, we should add 6 to both sides:-

-6+x=-4

x=-4+6

x=2

Hence, the value of x is 2.

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

B, the answer is B or C believe me

Step-by-step explanation:

Delete the comma if needed

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

Explanation:

The exponent of 5 means we move the decimal 5 spots to the right.

This has us go from 7.23 to 723,000

If the exponent was negative, then we'd move that amount to the left.

Answer: (Decimal: x = 0.99746…)

note:Parallelogram WXYZ not VWXY & I will answer the questions in the image b'cos I don't get your question.

Answers:

a.(i.)Slope of line YZ = 4/5

(ii.)Line adjacent line YZ is line YX,slope of YX =5/4

b.(i.)Length of line YZ =√41 units

 (ii.)Length of line YX =√41 units

c.WXYZ is a rhombus.

Step-by-step explanation:

a.Slope=gradient(m)=(y₂-y₁)/(x₂-x₁)

(i.)m of line YZ=(y₂-y₁)/(x₂-x₁) where Y(-6,-1) & Z(-1,3)

(I believe you know what the y₂,y₁,x₂ & x₁ stand for.)

So m=(y₂-y₁)/(x₂-x₁),=(3-(-1))/(-1-(-6) =(4)/(5)=4/5

∴m of line YZ is 4/5

(ii.)m of line YX=(y₂-y₁)/(x₂-x₁) where Y(-6,-1) & X(-2,4)

So m=(y₂-y₁)/(x₂-x₁),=(4-(-1))/(-2-(-6) =(5)/(4)=5/4=1.25

∴m of line YX is 5/4

b.(i.)To find the length of line YZ,we have to express it as column vector YZ.

Vector YZ=OZ-OY,Z-Y=(-1,3)-(-6,-1)=(5,4)

Length=√x² plus y²=√5² plus 4²=√25 plus 16=√41 units

∴The length of line YZ is √41 units.

(ii.)To find the length of line YX,we have to express it as column vector YZ.

Vector YX=OX-OY,X-Y=(-2,4)-(-6,-1)=(4,5)

Length=√x² plus y²=√4² plus 5²=√16 plus 25=√41 units

∴The length of line YX is √41 units.

c.WXYZ is a rhombus.

The number of squares needed to make nth figure in the pattern is

S(n) = 2ⁿ.

A square is "a shape that has four sides of the same length and the four angles of right angles".

According to the question,

S(1)=2; S(2) =4; S(3) = 8: S(4)=16 .........

S(1) = 2; S(2) = 2² = 4; S(3) = 2³ = 8; S(4) = 2⁴ = 16....... S(n) = 2ⁿ

In to find the number of squares needed to make the nth figure in the given pattern is S ( n ) = 2ⁿ.

Hence, the number of squares needed to make nth figure in the pattern is S(n) = 2ⁿ.

Learn more about squares here

https://brainly.com/question/8954712

#SPJ2

The number of squares needed to make nth figure in the pattern is

S(n) = 2ⁿ.

According to the question,

S(1)=2; S(2) =4; S(3) = 8: S(4)=16 .........

S(1) = 2; S(2) = 2² = 4; S(3) = 2³ = 8; S(4) = 2⁴ = 16....... S(n) = 2ⁿ

In to find the number of squares needed to make the nth figure in the given pattern is S ( n ) = 2ⁿ.

Hence, the number of squares needed to make nth figure in the pattern is S(n) = 2ⁿ.

Using proportions, it is found that 315 more guests will stay at the small hotel than at the bed and breakfast in a 10-week period.

A proportion is a fraction of a total amount.

At the small hotel, a mean of 7.75 guest stay per night. 10 weeks have 70 days, then the total amount is:

S = 7.75 x 70 = 542.5

At the bed and breakfast, the mean was of 3.25 guests per night, hence:

B = 3.25 x 70 = 227.5.

The difference is given by:

S - B = 542.5 - 227.5 = 315.

Hence, 315 more guests will stay at the small hotel than at the bed and breakfast in a 10-week period.

More can be learned about proportions at https://brainly.com/question/24372153

Answer: Look at the attachment

Step-by-step explanation:

0.4

the reciprocal of 0.4.

it'll be easier if you convert to fraction first, which gives you:

=2/5

then reciprocal:

=5/2

in decimal form= 2.5

Answer:

6 rides

Step-by-step explanation:

Total balance = $13.50 = ($2.25/ride)x, where x is the remaining number of rides.  Dividing both sides by $2.25/ride yields 6.

Justin has enough on his bus card for 6 more rides.

Answer:

1. B. one is acute and the other is obtuse

2. D. no determination can be made

3. B. right

4. D. it cannot be determined

Step-by-step explanation:

1. If ∠KAT and ∠GIF are supplementary angles then one is acute and the other is obtuse

example : m∠KAT = 70° and m∠GIF = 110°

2.If ∠DEF and ∠IPN are congruent, they are no determination can be made

counter-example:

m∠DEF = 50° and m∠IPN = 50°

3.If the sides of a triangle measure 3, 4 and 5, then the triangle is right

because : 5² = 3² + 4²

4. If two sides of a triangle measure 4 and 14, and an angle measures 34º, then the triangle is it cannot be determined

Answer:

4 markers left

Answer:

4 markers

Step-by-step explanation:

108/8=13.5

13x8=104

108-104=4

Answer:

y = 6 x + 1

y = 1 x + 1

'^' :)))))

First, -43-(-7) is the same as -43+7, which is equal to:-

-36

Is the answer positive or negative? The sign in front of 36 will tell us whether the number is positive or negative.

It is negative, because there's a minus sign next to it.

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

positive

Step-by-step explanation:

hope this helps.

3/5 + 1/2

= 6/10 + 5/10

= 11/10

= 1(1/10)

= 1.10

Answer:

AS 37=1/2 (45+x)

74=45+x

74-45=x

29=x

or

x=29

ANSWER

ANS= B.29

Answer:

62

Step-by-step explanation:

5x2 = 10

3x5=15

5x2=10

3x5=15

2x3=6

2x3=6

__________ (Add togther)

= 62 in

Hope this helps :)

I believe the answer is 8x+2

Answer:

3.499 cm

Step-by-step explanation:

volume of a cylinder = pi r^2 h

                             500 = pi r^2 (13)

                           sqrt ( 500/(pi * 13) = h =

Answer:

88 m²

Step-by-step explanation:

Formula

Given :

Solving :

Answer:

[tex] \frac{3 \times 10}{1 \times 10} [/tex]

And

[tex] \frac{4 \times 10}{1 \times 10} [/tex]

[tex] = \frac{30}{10} \: and \: \frac{40}{10} [/tex]

[tex] \frac{31}{10} \frac{32}{10} \frac{33}{10} \frac{34}{10} \frac{35}{10} \: and \: \frac{36}{10} [/tex]

Step-by-step explanation:

these are the six rational numbers between 3 and 4

Answer:

[tex]\dfrac{37}{12}, \dfrac{19}{6}, \dfrac{13}{4}, \dfrac{10}{3}, \dfrac{41}{12}, \dfrac{7}{2}[/tex]

Step-by-step explanation:

Write 3 and 4 as rational numbers with a common denominator.

Common denominator = common multiple = 12

[tex]\implies 3=\dfrac{3 \times 12}{12}=\dfrac{36}{12}[/tex]

[tex]\implies 4=\dfrac{4 \times 12}{12}=\dfrac{48}{12}[/tex]

Therefore, the rational numbers between them with a denominator of 12 are:

[tex]\dfrac{37}{12}, \dfrac{38}{12}, \dfrac{39}{12}, \dfrac{40}{12}, \dfrac{41}{12}, \dfrac{42}{12}, \dfrac{43}{12}, \dfrac{44}{12}, \dfrac{45}{12}, \dfrac{46}{12}, \dfrac{47}{12}[/tex]

Reduced to their simplest form:

[tex]\dfrac{37}{12}, \dfrac{19}{6}, \dfrac{13}{4}, \dfrac{10}{3}, \dfrac{41}{12}, \dfrac{7}{2}, \dfrac{43}{12}, \dfrac{11}{3}\dfrac{15}{4}, \dfrac{23}{6}, \dfrac{47}{12}[/tex]

**There are many, many more rational numbers between 3 and 4 that we could find by changing the denominator**

Check the picture below.

now, keeping in mind that ratio of the sides is the same as the ratio of the perimeters.

[tex]\cfrac{\stackrel{small}{trapezoid}}{\stackrel{large}{trapezoid}}\qquad \stackrel{sides}{\cfrac{6}{9}}~~ = ~~\stackrel{perimeters}{\cfrac{20}{p}}\implies \cfrac{2}{3}=\cfrac{20}{p}\implies 2p=60 \\\\\\ p=\cfrac{60}{2}\implies p=30 \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{\stackrel{small}{trapezoid}}{\stackrel{large}{trapezoid}}\qquad \stackrel{sides^2}{\cfrac{6^2}{9^2}}~~ = ~~\stackrel{areas}{\cfrac{A}{45}}\implies \cfrac{36}{81}=\cfrac{A}{45}\implies \cfrac{4}{9}=\cfrac{A}{45} \\\\\\ 180=9A\implies \cfrac{180}{9}=A\implies 20=A[/tex]

Answer:The answer should be 1504 if i did it corectly

Step-by-step explanation: to get volume you need to multiply L*W*H and filling that in. 13 * 8 * 2 whitch you should get 208

the other size would have to be 9 * 8 * 18 which you should get 1296

then to get the total you just need to add together the two sums 208+1296 which should equal 1504.

Answer:

already answered

Step-by-step explanation:

go to this

https://brainly.in/question/16866439

Answer:

x = -2

Step-by-step explanation:

On cross multiplying,

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

Given equation:

[tex]\dfrac{3x+5}{2x+1}=\dfrac13[/tex]

Cross multiply:

[tex]\implies 3(3x+5)=1(2x+1)[/tex]

Expand brackets:

[tex]\implies 9x+15=2x+1[/tex]

Subtract [tex]2x[/tex] from both sides:

[tex]\implies 9x+15-2x=2x+1-2x[/tex]

[tex]\implies 7x+15=1[/tex]

Subtract 15 from both sides:

[tex]\implies 7x+15-15=1-15[/tex]

[tex]\implies 7x=-14[/tex]

Divide both sides by 7:

[tex]\implies \dfrac{7x}{7}=-\dfrac{14}{7}[/tex]

[tex]\implies x=-2[/tex]

The experimental probability of a blue outcome is its likelihood

The experimental probability of blue is 0.4

The number of trials is given as:

Trials = 5

The outcomes of blue is given as:

Blue = 2

The experimental probability of obtaining a blue outcome is:

P(Blue) = Blue/Trials

This gives

P(Blue) = 2/5

Evaluate the quotient

P(Blue) = 0.4

Hence. the experimental probability of blue is 0.4

Read more about probability at:

https://brainly.com/question/251701

Answer:

Associative property

Step-by-step explanation:

Sine the () was moved to another two numbers, it would be the Associative property of addition

Hope this helps :)