Charities can claim an extra 25% of the value of a donation back from the government. This is called gift aid. Work out how much gift aid a charity can claim on a donation of £273.50. Give your answer to the nearest penny

Answer:

he read 4940 pages in a year

Step-by-step explanation:

Given data:

1 year= 52 weeks

1 book= 95pages (takes 1 week to complete)

for 1 year = 52x95

                =4940

Answer:

B, E

Step-by-step explanation:

3 meters is 300 centimeters so that eliminates A and D since they are lower and we know E is higher than 300

Now to find if B and C are higher since they both are 2 meters is we make 3 meters look like this it will be

2 meter 100 centimeters and b is the only one greater

Hopes this helps please mark brainliest

Answer:

Vertex: (2, -1)

Axis of Symmetry: x=2

Parabola: Downwards

Step-by-step explanation:

50 miles because of the miles

a. Timothy is correct, as each vertex of triangle KLM was multiplied by 1.5.

b. The two triangles are similar, as they have the same angle measures, since a dilation does not change the angle measures.

A dilation occurs when each of the vertices of a image is multiplied by a constant, which is called scale factor.

The vertices of triangle KLM and given as follows:

K(-1,3), L(8,4) and M(10,-3).

The vertices of the triangle K'L'M', obtained after the dilation, are given as follows:

K'(-1.5, 4.5), L'(12, 6) and M'(15, -4.5).

Hence the scale factor is given by the multiplication of one the equivalent coordinates of the equivalent vertices, as follows:

-1.5/-1 = 1.5.

Meaning that Timothy is correct.

The two triangles are similar, as the dilation changes the side lengths but keep the angle measures constant, keeping the similarity of the triangles.

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With the help of sets we can conclude our answer.

acc to our qusetion-

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110 additional miles he will have to drive .

To calculate : additional miles qiang will have to drive

Let the additional no. of miles he has to drive be x .

⇒ Total Distance = 15 + x

    Total Time ( in hrs ) = ( 15 / 30 ) + ( x / 55 ) = ( 1 / 2 ) + ( x / 55 )

The equation becomes ,

[ ( 15 + x ) ] / [ ( 1 / 2 ) + ( x / 55 ) ] = 50

On simplification we get ,

15 + x = 25 + ( 10x / 11 )

x = 110

Therefore , 110 additional miles he will have to drive .

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With the help of standard deviation we can conclude our answer.

acc to our question-

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Answer:

57

Step-by-step explanation:

Straight line is 180 degrees

x+2x+9=180

3x=171

x=171/3

x=57

pls mark as brainliest

Answer:

a = 5 cm

Step-by-step explanation:

Formula we use,

→ (AC)² = (BC)² + (AB)²

Now the value of a will be,

→ (13)² = a² + (12)²

→ 169 = a² + 144

→ a² = 169 - 144

→ a = √25

→ [ a = 5 cm ]

Hence, value of a is 5 cm.

We have : (a+b)^2 = a^2 + 2ab + b^2.

So, we can see here : the first term (3x) is a, the second term (a) is b.

For it to be expanded as such, the second term in the bracket must be equal to a^2 when it is squared.

Therefore, the missing term is a.

Recheck : (3x + a)^2 = (3x)^2 + 2.3x.a + a^2 = 9x^2 + 6ax + a^2.

Answer:  The solution to this system is (1,3) as shown in the graph below.

Step-by-step explanation:

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NOTE: The red line is -x+y=2 and the blue line is y=3

Answer:

(x, y) = (1, 3)

Step-by-step explanation:

The larger bulldozer would take about 30 minutes.

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It is false, that the sum of the numbers of dots that show up when we roll three dice simultaneously does not follow a discrete uniform distribution.

The Discrete uniform distribution is a symmetric probability distribution used in probability theory and statistics. It contains a finite number of values that are equally likely to be observed; each value has an equal chance of 1/n. "A known, finite number of outcomes equally likely to occur" is another approach to describe the discrete uniform distribution.

The perfect example of Discrete uniform distribution is throwing a die. Tossing a fair dice is an easy illustration of the discrete uniform distribution. The possible results are 1, 2, 3, 4, 5, and 6, and the likelihood of a certain result is 1/6 each time the die is thrown. Because not all sums have an equal chance, the distribution that results when two dice are thrown and their values are summed is no longer uniform.  

From the above observation, we can say that the sum of the number of dots that show up when we roll three dice simultaneously will follow a discrete uniform distribution.

It is false, that the sum of the numbers of dots that show up when we roll three dice simultaneously does not follow a discrete uniform distribution.

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Answer:

A relationship is proportional if each pair of data values are related in the same way, by multiplying by a factor. You can recognize a proportional relationship by looking at data, an equation, or a graph.

Step-by-step explanation:

Answer:
simply just divide!

Step-by-step explanation:

okay, here is one example:

in 3 hours, you went 126 miles

In 4 hours, you went 168 miles

In 5 hours, you went 210 miles

So what is the unit rate of the miles(x) per hour(y).

The smallest number would be easier to divide. So you divide 126 and 3 and would be 42 miles.

Then find the quotient for the other ones.
168 divide 4 = 42

210 divide 5 = 42.

What is the same of all of them? 42 is the factor to all of the problems. So the proportional relationship (k) is 42. In a equation it would be y=42x (y=Kx)

To find the next number in the sequence you just multiply (x) with the factor.

Answer: C

Step-by-step explanation:

All i used was a desmos graphing calculator

The dimensions of the box that minimize total cost are height h =3.17m, width, w and length, l=9.52m  are equal to  .

Let h is the height of the box.

Given Volume of the box is 216 m³  with no top.

And the cost of the bottom is 40USD/m².

For the sides, it is 30USD/m².

The bottom of the box is square, so l = w.

So Volume

[tex]V=hl^{2}[/tex]

[tex]216=hl^{2}[/tex]

[tex]h=\frac{216}{l^{2} }[/tex]

Now Surface Area of the box without a top is

S = 4hl + l²

So,

cost = 4 × 30hl +40l²

cost = 120 hl + 40 l²

Putting h ,

cost = 120 × [tex](\frac{216}{l^{2} })l + 40l^{2}[/tex]

cost = [tex]\frac{25960}{l^{2} }+40l^{2}[/tex]

To find minimum cost, derivate the  by using the calculator at

[tex]l=3\sqrt[3]{4}[/tex]

l=4.762203 m

[tex]h=\frac{216}{4.762203^{2} }[/tex]

h = 9.5244069354 m

Hence the dimensions of the box are

l=w

 =9.52 m

and height ,h=3.17 m  

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The identification of the missing angles and their congruency names are;

a. ∠4 and ∠7 = Consecutive interior

b. ∠2 and ∠11 = alternate exterior angles

c. ∠12 and ∠16 = corresponding angles

d. ∠8 and ∠13 = alternate interior angles

e. ∠11 and ∠15 = corresponding angles

f. ∠7 and∠10 = none

g. ∠1 and ∠14 = alternate exterior angles

h. ∠12 and ∠15 = Consecutive interior

i. ∠6 and ∠7 = none

j. ∠1 and ∠3 = corresponding angles

k. ∠12 and ∠16 = corresponding angles

l. ∠6 and ∠15 = alternate exterior angles

m. ∠5 and ∠10 = alternate interior angles

n. ∠8 and ∠14 = corresponding angles

Corresponding angles are defined as the angles which are formed in corresponding corners with the transversal in a case where two parallel lines are intersected by any other line.

Alternate interior angles are defined as the angles formed when a transversal intersects two coplanar lines.

Alternate exterior angles are defined as the pair of angles that are formed on the outer side of the parallel lines but on the opposite side of the transversal.

Therefore, the angles given can be classified similarly using the image as:

a. <4 and <7 are Consecutive interior angles

b. <2 and <11 are alternate exterior angles

c. <12 and <16 are corresponding angles

d. <8 and <13 are alternate interior angles

e. <11 and <15 are corresponding angles

f. <7 and <10 are none

g. <1 and <14 are alternate exterior angles

h. <12 and <15 are Consecutive interior

i. < 6 and <7 are none

j. <1 and <3 are corresponding angles

k. <12 and <16 are corresponding angles

l. <6 and <15 are alternate exterior angles

m. <5 and <10 are alternate interior angles

n. <8 and <14 are corresponding angles

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[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

Let's express P (principle) in terms of I, R and T

[tex]\qquad \sf  \dashrightarrow \: I= \dfrac{PRT}{100} [/tex]

[tex]\qquad \sf  \dashrightarrow \: PRT = I \sdot 100[/tex]

[tex]\qquad \sf  \dashrightarrow \: P = \dfrac{I \sdot 100}{RT} [/tex]

and that's it ~

P can be expressed in terms of I, R, T as P=100×I / (R×T)

Given equation

I=PRT/100

100 × I = PRT

100 × I / RT = P

P = 100 × I / RT

This formula is used to calculate Simple Interest, where P= Principal, I= Intrest to be Calculated. R= Annual rate of interest, T= Time (in years). Here one will shift the 100 from the denominator and multiply with the I next we will move the rate and time from the numerator to the denominator. The equation we now get will be in terms of I, R, and T and one can find the Principal using this equation.

I hope this answer helps.

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Answer:

[tex]=45[/tex]

Step-by-step explanation:

1 ) Simplify

[tex]\frac{(18^7)(20^7)}{(25^3)(2^2^1)(27^4)}[/tex]

[tex]= \frac{612220032(20^7)}{(25^3)(2^2^1)(27^4)}[/tex]

[tex]= \frac{(612220032)(1280000000)}{(25^3)(2^2^1)(27^4)}[/tex]

[tex]= \frac{783641640960000000}{(25^3)(2^2^1)(27^4)}[/tex]

[tex]= \frac{783641640960000000}{15625(2^2^1)(27^4)}[/tex]

[tex]= \frac{783641640960000000}{(15625)(2097152)(27^4)}[/tex]

[tex]= \frac{783641640960000000}{32768000000(27^4)}[/tex]

[tex]= \frac{783641640960000000}{(32768000000)(531441)}[/tex]

[tex]= \frac{783641640960000000}{17414258688000000}[/tex]

[tex]=45[/tex]

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If the Jackson family just bought 15 pack of Lacroix at Costco and the family drinks about eight cans a week, then after 1.25 weeks

Total number of packs they bought = 15 pack

The average cans they finish each week = 8

Number of cans left = 5 cans

Number of cans used = Total number of packs they bought - Number of cans left =

= 15 - 5

= 10 cans

After how many weeks will there be only five cans left = Number of cans used ÷ The average cans they finish each week

Here we have to use the division

Substitute the values in the equation

After how many weeks will there be only five cans left = 10 /8

= 1.25 weeks

Hence, if the Jackson family just bought 15 pack of Lacroix at Costco and the family drinks about eight cans a week, then after 1.25 weeks

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When an aabbccddeeff individual is crossed with an individual with the genotype aabbccddeeff, the probability that their offspring will have the genotype aabbccddeeff would be 1/64.

The genotype of an organism refers to the complete set of genetic material. An offspring's genotype is the result of the combination of genes from their parents.  In order to obtain the overall probability, individual probabilities for each locus will be multiplied. The Parent cross would be AABbccDdEeFF x AaBBCCDdEeff and offspring would be AaBbCcddEEFf.

Multiplying all the probability:

½ * ½ * 1 * ¼ * ¼ * 1 = 1/64

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We will use the  distributive property to take a common factor in the next step:

(1/5)*x - (1/10)*x = (1/5 - 1/10)*x

Using that we will see that the solution is x = 10.

The distributive property can be written as:

A*(B + C) = A*B + A*C

Now we have the equation:

(1/5)*x + 8 = (1/10)*x + 9

If we group like terms we get:

(1/5)*x - (1/10)*x = 9 - 8

Here we apply the property, we can rewrite the left side as:

(1/5)*x - (1/10)*x = (1/5 - 1/10)*x

Then we can write:

(1/5)*x - (1/10)*x = 9 - 8

(1/5 - 1/10)*x = 1

(1/10)*x = 1

x = 10*1

x = 10

And that is the solution.

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The product in simplest form is [tex]-250\sqrt[3]{50}[/tex] .

In the question,

It is given that,

[tex]5*\sqrt[3]{5} * (-10\sqrt[3]{50})[/tex]

By radical laws, [tex]\sqrt{a} * \sqrt{b} = \sqrt{ab}[/tex]

So,

The given question becomes:

[tex]-50*\sqrt[3]{50*5} = -50*\sqrt[3]{250} = -250\sqrt[3]{5} }[/tex]

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The fraction of the surface of the cube which is white is 14/27

Given 27 cubes of 1 centimetre are conjoined to form a large cube of 3x3x3

To maximise the value of the surface area, in this case, taken as white, other than the cube in the centre, the rest of the cubes must have their white surface area exposed.

• Total Number of cubes where white surface area is exposed is = 27 – 1 = 26

Although, on each surface of the 3x3x3 cube, there are 9 smaller cube surfaces, and there will be a total of 6 surfaces for the bigger cube.

•      Total number of cube surfaces exposed in blue = 9 * 6 = 54

• Therefore, the greatest fraction in blue= 26/54 = 13/27

Therefore the fraction of the surface of the cube is white is = 1-[tex]\frac{13}{27}[/tex]= 14/27

The fraction of the surface of the cube which is white is 14/27 is the answer

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The fraction of the surface area of the cube which is white is 14/27

Given 27 cubes of 1 centimetre are conjoined to form a large cube of 3x3x3

To maximise the value of the surface area, in this case, taken as white, other than the cube in the centre, the rest of the cubes must have their white surface area exposed.

• Total Number of cubes where white surface area is exposed is = 27 – 1 = 26

Although, on each surface of the 3x3x3 cube, there are 9 smaller cube surfaces, and there will be a total of 6 surfaces for the bigger cube.

•      Total number of cube surfaces exposed in blue = 9 * 6 = 54

• Therefore, the greatest fraction in blue= 26/54 = 13/27

Therefore the fraction of the surface of the cube is white is = 1-(13/27)

= 14/27

The fraction of the surface of the cube which is white is 14/27 is the answer.

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If the receiver is placed at the focus, it is 4 inches from the bottom of the dish. The result is obtained by using the equation of parabola with the vertex is at (0,0).

With the vertex at (0,0), the equation of a parabola can be expressed as

x² = 4ay

Where

Given

How far is the receiver from the bottom of the dish if it is placed at the focus?

Suppose that the vertex is at (0,0).

x = 1/2 × diameter

x = 1/2 × 48

x = 24

Now, we got two points (-24, 36) and (24,36). See the picture in the attachment!

By using the x and y value, the value of a is

x² = 4ay

24² = 4a(36)

576 = 144a

a = 576/144

a = 4 inches

Hence, the receiver is placed at 4 inches from the bottom of the dish.

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The total area of the shape that is formed by the two congruent parallelograms is: 721 cm².

To find the total area of the shape that is formed by the two congruent parallelograms, calculate the area of each face, then add all together.

The shape formed consist of:

Area of the 2 identical parallelograms:

Base = 15 cm

Height = 11 cm

Area = 2(15 × 11) = 330 cm²

Area of the 2 identical right triangles:

Base = 11 cm

Height = 11 cm

Area = 11 × 11 = 121 cm²

Area of the rectangle = length × width = 18 × 15 = 270 cm²

Total area of the shape = 330 + 121 + 270

Total area of the shape = 721 cm²

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Answer:

36

Step-by-step explanation:

(3*2)^2

3*2=6

6^2=36

Answer:

36

Step-by-step explanation:

(3x2)^2
6^2

36

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