I win £300 on a scratchcard and decide to share my winnings with my two friends Peter and Mary. Peter has 3 shares, Mary has 5 shares and I have 2 shares. How much does Mary receive?

Answer:

4.176  × 10¹⁵

Step-by-step explanation:

2.9×10⁵×7.2×10²÷5×10^-8=

2.9×7.2×10⁷×10⁸ / 5=

4.176  × 10¹⁵

Answer:

Domain: the set of “Pregant Sheep”

Range: the set of “Lambs Born”

Exaplain why your Relation is a Function.

“The reason it‘s a function is the fact that there is two parents (if you include the dad) and you can have one to three lambs born.  

Step-by-step explanation:

We want to write a real-world example of a relation that is a function.

First, let's describe what a function is.

A function is a relationship that maps elements from a set, the domain, into elements from another set, the range.

Such that each element in the domain can be mapped into only one element in the range.

So for example, if for a given item we have 2 different prices, like:

this is not a function, because the input "bar of soap" is being mapped into two different elements of the range.

Now that we know what a function is, we can create a real-world example.

Let's create a really simple one, let's say that in your local store they sell each bar of soap for $2.

Then, if you buy x of these, the cost will be x times $2, or:

$2*x

Then we can create a function, the cost function, that models the cost of buying x bars of soap at your local store, it is:

c(x) = $2*x

This is a function that models a "real-world" problem.

If you want to learn more, you can read:

https://brainly.com/question/183587

Answer:

1/2(6)(2 + x) = 27

3(2 + x) = 27

6 + 3x = 27

6 - 6 + 3x = 27 - 6

3x = 21

3x / 3 = 21 / 3

x = 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use the formula A = a + b/2 · h

b = 2·A/h - a

b = 2 · 27/6 - 2

b = 7

Equilateral triangles have 3 sides of the same length, so if you split it down the middle, you will end up with one side length of 10cm and another with 5cm. Pythagorus can be used to find the missing side length, because the line of symmetry creates a right angle.

a^2 + b^2 = c^2

5^2 + b^2 = 10^2       (substitute given values in, remember the longest side, or the side opposite the right angle is c)

25 + b^2 = 100          (simplify)

b^2 = 75

b =  8.6603

Check answer

5^2 + 8.6603^2 = 10^2

25 + 75 = 100

Answer:

n = 5  or  n = -5

Step-by-step explanation:

Absolute value means take the non negative value

|n| = 5

n = 5   n = -5

Answer:

5

Step-by-step explanation:

Step-by-step explanation:

P = IV

2000 W = I (120 V)

I = 16.7 A

P = E/t

P = (2000 W × 8 hr) / (1 day)

P = 16,000 W·hr/day

P = 16000 W·hr/day × (365 day / yr)

P = 5,840,000 W·hr/yr

P = 5,840,000 W·hr/yr × (1 kW / 1000 W)

P = 5840 kW·hr/yr

C = 5840 kW·hr/yr × (0.25 $/kW/hr)

C = $1460/yr

Answer:

6

Step-by-step explanation:

f(6) = -6   this is the value when the x value is 6

g(5) = -5 this is the value when the x value is 5

4 * f(6) -6*g(5)

4*-6 - 6* -5

-24 + 30

6

Answer:

6

_____________________

Answer:

D

Step-by-step explanation:

Proportional relationships go through the origin on the graph so we can eliminate A and B. Also the x and y coordinates have the same ratio so the answer is D because 2:3 = 4:6 = 8:12 = 12:18.

Answer:

-1.8x-6xy

Step-by-step explanation:

The distributive property is one of the properties of real numbers

Mathematically, we can have it expressed as follows;

a •(b+ c) = a•b + a•c

Thus, applying this to the problem at hand, we have;

x(-1.8-6y) = x •(-1.8) - x•(6y)

Opening the brackets we have;

-1.8x-6xy

Answer:2) 20cm

             3) 90m

Step-by-step explanation: 2) 10x2=20cm

                                             3) 35x2=70, 20x2=20, 70+20= 90m

Answer:

514,400 plants.

Step-by-step Explanation:

From the attached diagram given below which shows the coordinate grid, we can say the shape of the farm is that of a trapezium.

Number of plants to be planted by the farmer at 40,000 plants per acre = area of land in acres * 40,000.

Let's find the area of the land(trapezium):

Area of trapezium = ½(a+b)*h

From the coordinate grid, from point E to H on the y-axis, we have 900 units = 900 ft (Given that 1 unit = 1 foot).

Also, from F to G, we have 500 units = 500ft; and the height of the trapezium is represented by the number of units the trapezium covers on the x-axis = 800units = 800ft.

a = 900ft, b = 500ft, c= 800ft

==> Area of Land/trapezium = ½(a+b)*h

= ½(900+500)*800

= ½(1400)*800

= 700*800 = 560,000ft²

Given that 1acre = 43,560ft²

x acre = 560,000ft²

x = 560,000*1 /43,560

x = 12.86 acres

Therefore, number of plants to be planted = 12.86 acres * 40,000 plants = 514,400 plants.

Answer: The answer is 7x.

Step-by-step explanation:

Answer:

The answer is x=9 and y=1

Step-by-step explanation:

First, you have to substitute x from -4x to 9y which is -4(9y).

That would equal -36y.

Then the second equation would look like this:

-36y + y = -35

Then simplify. If you add -36y and y, it would equal -35y.

-35y = -35

Divide -35 on each side.

y = 1

To find the x value, you have to plug 1 into the first equation. (It doesn't matter which equation you plug into).

So if you plug it into the first equation it would look like this:

9(1) = x

9 = x

The answer is -8

This was too easy

Answer:

1. x > 13

2. x < -2

3. x < 5

Step-by-step explanation:

2x - 3 > 23

→Add 3 to both sides:

2x > 26

→Divide both sides by 2:

x > 13

2x - 3 > 3x - 1

→Subtract 2x from both sides:

-3 > x - 1

→Add 1 to both sides:

-2 > x

5x - 4 < 21

→Add 4 to both sides:

5x < 25

→Divide both sides by 5:

x < 5

Answer:

[tex] 5 - 2 \sqrt{6} [/tex]

Step-by-step explanation:

Perhaps you are interested in rationalising the denominator of the given problem. Let's do it.

[tex] \frac{ \sqrt{3} - \sqrt{2} }{ \sqrt{3} + \sqrt{2} } \\ \\ multiplying \: numerator \: and \: denominator \: \\ by \: (\sqrt{3} - \sqrt{2}) \\ \\ \frac{( \sqrt{3} - \sqrt{2} ) }{ (\sqrt{3} + \sqrt{2} )} \times \frac{ (\sqrt{3} - \sqrt{2} )}{ (\sqrt{3} - \sqrt{2} )} \\ \\ = \frac{{( \sqrt{3} - \sqrt{2} )}^{2} }{ { (\sqrt{3} })^{2} - {( \sqrt{2} })^{2} } \\ \\ = \frac{ { (\sqrt{3} )}^{2} + { (\sqrt{2} )}^{2} - 2 \sqrt{3 \times 2} }{3 - 2} \\ \\ = \frac{3 + 2 - 2 \sqrt{6} }{1} \\ \\ = 5 - 2 \sqrt{6} [/tex]

Answer:

answer 1: It forms a linear pair with one of the interior angles of the triangle

Step-by-step explanation:

The sum of an exterior angle and its adjacent interior angle is 180 degrees.

Also, linear pair of angles are supplementary.

Answer:

11 + x m

Step-by-step explanation:

[tex]width = \frac{area \: of \: rectangle}{length} \\ \\ = \frac{121 - {x}^{2} }{11 - x} \\ \\ = \frac{ {11}^{2} - {x}^{2} }{11 - x} \\ \\ = \frac{(11 + x)(11 - x)}{11 - x} \\ \\ = (11 + x) \: m[/tex]

Answer:‍✈️‍✈️?

Step-by-step explanation:

Answer:

#2=-.05 #3=8

Step-by-step explanation:

use pemdas correctly and you will always get the right answer

Answer:

0

Step-by-step explanation:

This is because any number that is plugged in is going to be multiplied by 0. Anything multiplied by 0 is 0. Lastly, 0-0=0, which brings you to your final answer.

Answer:

Find the exact value using trigonometric identities. a MP3, 45, 0.15

Step-by-step explanation:

so your answer is $45.15 that is how much it was before the discount :)

Answer:

$8.25

Step-by-step explanation:

discount = x

original price = $45.00

discount% = 15%

x/45 = 15/100

x · 100 = 15 · 45

100x = 675

100x/100 = 675/100

x = 6.75

Sale price = 15 - 6.75 = 8.25

Answer:

I think

all the rectangle in the shape u have to find the area of the rectangle

55×55 for each rectangel \ l ×W

now do the squares

25×25 for each rectangle

now when u got all the sides add them up

Answer:

it might be trinomial if not maybe its monomial hope it helps ;/

Step-by-step explanation:

Answer:

yhyhyhyh rashford gonna score a hat trick vs spurs

Step-by-step explanation:

Answer:

The slope of any equation that is in the form of y = mx + c is the m

Step-by-step explanation:

If you want to know a certain slope. Please provide the equation

[tex]y=mx+b[/tex]

[tex]m[/tex] is the slope.

[tex]m=y_{2} -y_{2}/x_{2}-x_{1}[/tex]

The table says:

[tex]x : -4 , -2 , 0 , 2 , 4\\ y : -16 , -6 , 4 , 14 , 24[/tex]

[tex]m=-6 --16/-2--4[/tex]

[tex]m=10/2[/tex]

[tex]m=5[/tex]

Answer:

The length of the missing side is 12.

Step-by-step explanation:

When you solve this, you do 5^2 + b^2 = 13^2

and solve for b. 25 + b^2 = 169

169 - 25 = 144

[tex]\sqrt{144[/tex] = 12

When you check your work, 5^2 + 12^2 = 13^2

25 + 144 = 169

If you have the right triangle, then you can label the longer side with 13, and label the leg 5. the you solve for the other leg. That's how Pythagorean Theorem is used in this context.

I hope this helped. I'm not the best at explaining math.

Answer:

We are given that triangle PQR is an isosceles triangle in which PQ = PR .

Since the base angles of an isosceles triangle are equal,

angle PQR = angle PRQ  

Also, And we are given that

angle MRQ = angle NQR

In ΔQNR and  ΔRMQ

∠NQR=∠MRQ (given)

QR = QR   (common)

-triangles QNR is congruent to triangles RMQ - ASA - angle side angle

Answer:

x = -24/7  or x = -3 3/7

Step-by-step explanation:

In this equation, the first thing we will do is to get rid of the denominators -- they complicate everything. So, we can multiply the entire equation by 10, since 10 is the lowest common multiple of 5 and 2, which are the denominators.

Then, the equation will look like this:

2(4x-2) + 5(1) = 5(3x+7) - 10(1)

Notice that the denominators will no longer exist.

Now, distribute on both sides of the equation.

The equation will look like this now:

8x - 4 + 5 = 15x + 35 - 10

Then, we must combine like terms. We want to isolate the variable x on one side of the equation. Let's isolate it on the right side. So, subtract 8x from both sides. The equation will look like this now: - 4 + 5 = 7x + 35 - 10

Now that x is on one side, let's move all the other terms to the left side. Subtract 25 from both sides (35 - 10 = 25 on the right side, get rid of it by subtracting 25). The equation now looks like this: - 4 + 5 - 25 = 7x

Finally, combine all on the left side.

Final equation: -24 = 7x

Now, we know 7x = -24. We want to solve for the value of x. So, divide both sides by 7.

x = -24/7  or x = -3 3/7

Answer:

8 units = L

Step-by-step explanation:

The area of a rectangle is the product of length and width.

A = L*W

If A = 56 units^2 and W = 7 units, then L = (56 units^2) / (7 units) = 8 units = L

Answer:

384 cm³

Step-by-step explanation:

To find the volume of raspberries in Kendrick's box you have to use the formula to calculate the volume of a box:

V= l*w*h, where

l=Length: 8 cm

w=width: 8 cm

h= height: 6 cm

Then, you can replace the values in the formula:

V= 8cm*8cm*6cm

V=384 cm³

According to this, the answer is that the volume of raspberries in Kendrick's box is 384 cm³.

Notice that

[tex]\left(x-\dfrac1x\right)^2=x^2-2+\dfrac1{x^2}=18-2=16[/tex]

which tells us

[tex]x-\dfrac1x=\pm4[/tex]