Evaluate
89% of
£323.09
Give your answer rounded to 2DP

Answer:

Step-by-step explanation:

Basically find the slope first.

(6,1)(9,5)

5-1/9-6

m=4/3

y=mx+b

1=4/3(6)+b

b=-7

y=4/3x-7

Answer:

10n+72

Step-by-step explanation:

10n+81-9

10n+72

Answer:

Apple Pie cost $8

Lemon Meringue Pie = $15

Step-by-step explanation:

Creating some variables:

A = apple pie

L = lemon meringue pie

We have two equations:

11A + 1L = 103

11A + 12L=268

You can use elimination or the substitution method to solve. I will be using substitution method.

Solve the first equation for L:

11A + 1L = 103

subtract 11A to both sides

L = 103 - 11A

Plug this into the second equation

[tex]11A + 12(103-11A) =268[/tex]

distribute the 12

[tex]11A + 1236 - 132A = 268[/tex]

combine the A and subtract the 1236

[tex]-121A = -968[/tex]

Divide -968 by -121

A = 8

Next plug this 8 back into one of the two original equations above:

[tex]11(8) + 1L =103[/tex]

[tex]88+L=103[/tex]

subtract 103 by 88

L = 15

Answer:

[tex]A=8[/tex], [tex]L=15[/tex]

Step-by-step explanation:

For the sake of time Apple pies will be represented by [tex]A[/tex] and Lemon will be represented by [tex]L[/tex]

Based on the information given it is clear that:

[tex]11A+1L=103[/tex]

[tex]11A+12L= 268[/tex]

We can rearrange the first equation to solve for [tex]A[/tex], in terms of [tex]L[/tex]

[tex]11A+1L=103[/tex]

subtract [tex]1L[/tex] form both sides

[tex]11A=103-L[/tex]

Now let's input this into the second equation to solve for [tex]L[/tex]

[tex](103-L)+12L=268[/tex]

combine like terms

[tex]11L+103=268[/tex]

subtract [tex]103[/tex] from both sides

[tex]11L=165[/tex]

divide both sides by [tex]11[/tex]

[tex]L=15[/tex]

Now input  this value into the first equation for [tex]L[/tex]

[tex]11A+15=103[/tex]

subtract [tex]15[/tex] from both sides

[tex]11A=88[/tex]

divide both sides by [tex]11[/tex]

[tex]A=8[/tex]

plz mark me brainliest. :)

Answer:

A: >

Step-by-step explanation:

I believe A because if you look at the 2 in the first first number or whatever its higher then the 0 in 0.420 And plus for the 5 in 2.510 its greater then the 4 so thats why i believe A because you always gotta read the question slowly and make sure which one is high or not but it can actually trick you sometimes but if they match its an equal so hope this helps ya^^

Answer:

A senior citizen ticket costs $11, and a child ticket costs $9.

Step-by-step explanation:

Let s = price of 1 senior citizen ticket, and let c = price of 1 child ticket.

First day:

8s + c = 97

Second day:

6s + 4c = 102

We have a system of 2 equations in 2 unknowns.

8s + c = 97

6s + 4c = 102

We will use the addition method to solve the system.

Multiply both sides of the first equation by -4. Write the second equation below it and add the equations.

     -32s - 4c = -388

(+)     6s + 4c = 102

----------------------------

      -26s       = -286

Divide both sides by -26.

s = 11

Now substitute s with 11 in the first original equation and solve for c.

8s + c = 97

8(11) + c = 97

88 + c = 97

Subtract 88 from both sides.

c = 9

Answer: A senior citizen ticket costs $11, and a child ticket costs $9.

Answer:

y=-1/2x

Step-by-step explanation:

y-(-2)=-1/2(x-4)

y+2=-1/2x+2

y=-1/2x

The equation of a line is written as y = Mx + b where m is the slope and b is the y intercept.

Replace y and x with the given point and m with the given slope to solve for b:

-2 = -1/2(4) + b

Simplify:

-2 = -2 + b

Add 2 to both sides:

B =0

The equation becomes: y = -1/2x

Answer:$387.27

Step-by-step explanation:

Hope this helps.

The solution is, the previous salary is $40910.

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

The total salary is $45000

Divide 10% by 100 to express the value as a decimal: 10/100= 0.1

Let x represent the previous salary.

If the previous salary was increased by 10% this means that they calculated the 10% of X and added it to the salary for the increase, symbolically:

x+0.1x=45000

1.1x=45000

x= 45000/1.1

x= 40909.09≅ $40910

Hence, The solution is, the previous salary is $40910.

To learn more on division click:

brainly.com/question/21416852

#SPJ3

Answer:

C. 3x + 5

Step-by-step explanation:

Go to m a t h w a y . c o m (with no spaces, wont let me post without) trust me, this will save u in math

Answer:

Step-by-step explanation:

In similar triangles, corresponding sides are in same ratio

[tex]\frac{28}{24} = \frac{3x-9}{x +8}\\\\\frac{7}{6}=\frac{3x-9}{x+8}\\[/tex]

Cross multiply,

7*(x + 8) = 6*(3x -9 )

7x + 7*8 = 6*3x - 6*9

7x +  56   = 18x - 54

          56 = 18x - 7x -54

          56 = 11x - 54

         11x - 54 = 56

               11x  = 56 +54

                11x = 110

               x = 110 /11

x = 10

PR = 3x -9

     = 30 - 9

PR = 21

Answer:

no

yes

no

yes

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

It helps to think that there are 15 1/5's in the number 3. Hope that helps!

Answer:

Step-by-step explanation:

(-2x-3)(4x+5) = -(2x+3)(4x+5) = -(8x^2+12x+10x+15) = -8x^2 - 22x - 15

Leading coefficient is -8

Answer:

7/18

Step-by-step explanation:

Probability is the ratio of the number of possible outcomes to the number of total outcomes.

Given that there are 9 counters in a bag, 7 are green while 2 are blue.

the probability of picking at random a

Green counter = 7/9

Blue counter = 2/9

The probability that Ria takes one counter of each colour if 2 counter are picked as random is Green and Blue or Blue and Green

This is

=7/9 * 2/8 + 2/9 * 7/8

Recall that when a counter is picked the number of that ball available reduces and so does the total number of counter

=14/72 + 14/72

= 28/72

= 7/18

14.8

calculator is fun to use

Answer:24cm2 is your answer Hope this helped you out.

Step-by-step explanation:L=3

W=2 and H=4 So ignore the letters. Those do not matter they are just trying to throw you off. Focus on the numbers. You need to multiply them. 3x4=12 12x2=24.

Congruent triangles have equal corresponding sides lengths and angles

Another valid congruency statement is Triangle RYQ ≅ Triangle LSJ

The congruency statement is given as:

Triangle QRY ≅ Triangle JLS

The above means that triangles QRY and JLS are congruent,

So we have the following congruent points

Points Q and J

Points R and L

Points Y and S

So, another valid congruency statement is Triangle RYQ ≅ Triangle LSJ

Read more about congruent triangles at:

https://brainly.com/question/1675117

Answer:

A. 6 minutes

Step-by-step explanation:

6 minutes is 1/10 of an hour.

60 minutes is 1 hour.

5,400 minutes is 90 hours.

3 hours is 180 minutes. You can solve this as a proportion:

[tex]\frac{180}{30} =\frac{x}{1}[/tex]

Cross multiply to get 30x = 180. x = 6.

Hope it helps!

Answer:

because WXYZ is a rhombus

=> WX // YZ

=> ZWX + WZY = 180⁰

=> WZY = 180⁰ - ZWX = 180⁰ - 77⁰ = 103⁰

Answer: The sample is 13414 years old.

Step-by-step explanation:

Expression for rate law for first order kinetics is given by:

[tex]t=\frac{2.303}{k}\log\frac{a}{a-x}[/tex]

where,

k = rate constant  

t = age of sample

a = let initial amount of the reactant= 100

a - x = amount left after decay process= [tex]\frac{20}{100}\times 100=20[/tex]

a) for completion of half life:

Half life is the amount of time taken by a radioactive material to decay to half of its original value.

[tex]t_{\frac{1}{2}}=\frac{0.693}{k}[/tex]

[tex]k=\frac{0.693}{5730}=0.00012years^{-1}[/tex]

b) for completion of 20% of reaction

[tex]t=\frac{2.303}{0.00012}\log\frac{100}{20}[/tex]

[tex]t=13414years[/tex]

The sample is 13414 years old.

Answer:    13,307 years

Step-by-step explanation:   i got it right on the quiz/asignment

Answer: 4,3

Step-by-step explanation: (This could be incorrect) Its' where the two lines intercept.

Answer:

The answer is below

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Dilation is the increase or decrease in size of a figure. If a figure with point A(x, y) is dilated by a scale factor of k, the new location is at A'(kx, ky). If k > 1, it is an enlargement and if k < 1, it is a reduction.

a) The scale factor from Quadrilateral A to Quadrilateral B = smallest side length of side B / smallest side length of side A = 2 / 6 = 1/3

Scale factor = 1/4= 1 / 3

The side length of 6 in A corresponds to a side length of 2 in B

Side length of B that corresponds with side length of 9 in A = scale factor * 9 =  1/3 * 9 = 3

The side length of 9 in A corresponds to a side length of 3 in B

Side length of B that corresponds with side length of 12 in A = scale factor * 9 =  1/3 * 12 = 4

The side length of 12 in A corresponds to a side length of 4 in B.

c)  perimeter of Quadrilateral B = sum of side lengths of quadrilateral B = 2 + 3 + 3 + 4 = 12 units

Answer:

69.08 yd

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

4 1/2 divided by 3/4 is 6. so 6 pieces

The greatest number of 3/4 foot pieces that Annie can cut from the rope

is 6.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Annie has 4 1/2 feet of rope.

Therefore, The greatest number of 3/4 foot pieces Annie can cut can be obtained by dividing the length of the total rope by the length of each piece which is,

= (4 1/2)/(3/4).

= (9/2)×(4/3).

= 36/6.

= 6.

So, 6 pieces are possible.

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ2

Answer:

Step-by-step explanation:

Multiply the y in the binomial by every term in the trinomial. Repeat this for the 3, and sum them all up

[tex](y+3)(y^2+8y-2)\\y^3+8y^2-2y+3y^2+24y-6\\y^3+11y^2+22y-6[/tex]

Answer:

No

Step-by-step explanation:

Why should anyone help you when all you do is steal points

Answer:

what type of answer are you looking for exactly

Step-by-step explanation:

Answer: 6a³-14a²-43a+12

Step-by-step explanation:

Explanation is in picture.