Alvin and Simon shared £540 in the ratio 4:5
Alvin gave half of his share to Theo.
Simon gave a tenth of his share to Theo.
What fraction of the £540 did Theo receive?​

Answer:

The answer is 210°.

Step-by-step explanation:

Given that ∠BOE = 130° and ∠COB is 80°. So in order to find ∠CBE, you have to add up together :

∠CBE = ∠BOE + ∠COB

∠CBE = 130° + 80°

∠CBE = 210°

(Correct me if I am wrong)

please see the attached picture...

Hope it helps...

Good luck on your assignment...

Answer:

A

Step-by-step explanation:

If the equation of the line is written in slope-intercept form, y = mx + b then the value of b will be -21; the correct answer is option A.

Slope tells how vertical a line is.

The more the slope is, the more the line is vertical. When slope is zero, the line is horizontal.

To find the slope, we take the ratio of how much the line's height increases as we go forward or backward on the horizontal axis.

This is because the more the height of the line to thee amount we walk or run on the horizontal axis, the more the slope is. That is why we took difference of horizontal axis in denominator and difference of vertical axis on numerator.

Formula for slope, thus, is;

Slope = (y₂ - y₁) / (x₂ - x₁)

Parameters;

J(-4, -5) and K(-6, 3)

= (3 - (-5)) / (-6 - (-4))

= (3 + 5) / (-6 + 4)

= 8 / -2

= -4

Substitute one of the coordinates into the formula to solve for b

y = mx + b

y = -4x + b

3 = -4(-6) + b

3 = 24 + b

3 - 24 = b

b = - 21

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Answer:

21 g

Step-by-step explanation:

Use ration method

28:14 = 42:x

To find x,

(14 x 42) divided by 28, which equals 21g

Answer:

-4 =x

Step-by-step explanation:

ƒ(x) = 9x + 54

Let f(x) = 18

18 = 9x+54

Subtract 54 from each side

18-54 = 9x + 54-54

-36 = 9x

Divide each side by 9

-36/9 = 9x/9

-4 =x

Answer: B

Step-by-step explanation:

Well, they told you what f(x) equals. So make the function of f(x) equal to the value they gave, 18

[tex]18=9x+54[/tex]

Subtract 54 from both sides to get:

[tex]-36=9x[/tex]

Divide both sides by 9 to get x = -4

Answer:

2y( 3x-1)(3x+1)

Step-by-step explanation:

18x^2y-2y

Factor out the greatest common factor 2y

2y( 9x^2 -1)

The term in the parentheses is the difference of squares

a^2 - b^2 = (a-b)(a+b)

2y( 3x-1)(3x+1)

Answer:

Step-by-step explanation:

The sum of the opposite faces is 20, because 14 + 6 = 20 and 11 + 9 = 20, so we just need to find the answer to the equation

5 + x = 20

Solving for x, we have

x = 20-5

x = 15.

Therefore, the missing number is 15.

Answer:

Area = 13,898.5 ft^2

Step-by-step explanation:

Here, we are tasked with calculating the area of the circle given the value of the diameter.

Mathematically, the area of a circle is;

A = pi * d^2/4

Where d here is 133 feet

A = 22/7 * 133 * 133 * 1/4 = 13,898.5 ft^2

Answer:

There are none

Step-by-step explanation:

Because 1/8 = 0.125

Just divide 1 over 8

The number of 3's in  the given fraction number 1/8 is, Zero

Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.

Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.

Given that,

A fraction number, 1/8

The number of 3's = ?

⇒ 1/8 = 0.125

There is no number 3 present in the result of this division

Hence, the number of 3's  is Zero

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Answer:

Coefficient

Step-by-step explanation:

The blank word is coefficient.

Coefficient is a number written with a variable to indicate the product of the number and the variable in a term.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Let the expression,

y = mx.

Here, x and y are the variables.

And m is the constant.

So, m is multiplied to the variable x.

That means, coefficient is a number written with a variable to indicate the product of the number and the variable in a term.

Therefore, coefficient is a number written with a variable to indicate the product of the number and the variable in a term.

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Answer:

180 square feet

Step-by-step explanation:

A rug that is geometrically similar to her room floor is one that has the same size as her room floor.

The floor has dimensions 12 feet by 15 feet.

The area of the floor and hence, the rug is:

A = 12 * 15 = 180 square feet

She should buy a rug that is 180 square feet

Answer:

I don't speak Spanish but I know what your asking. Trigonometry is a thing in physics.

Step-by-step explanation:

Answer: dodecahedron

Step-by-step explanation:

Answer:

Option A

Explanation:

Decahedron

Answer:

Step-by-step explanation:

Given : QP║RT and QR║US

To prove: ∠1 ≅ ∠5

                Statements                   Reasons

1).   QP║RT                           1). Given

2). QR║US                           2). Given

3). ∠1 ≅ ∠2                           3). Alternate angles

    ∠2 ≅ ∠5                          

4). ∠1 ≅ ∠5                           4). Transitive property

Reasons for third step,

PQ║RT and QR is a transverse therefore, ∠1 and ∠2 will be alternate angles.

Similarly, QR║US and RT is a transverse therefore, ∠2 and ∠5 will be the alternate angles.

Answer:

  A. 45.77 kg

Step-by-step explanation:

The measurement with the smallest difference from 45.76 is 45.77 kg.

Answer:

2.5%

Step-by-step explanation:

55 grams * 0.001 kg/1 gram=

0.055kg/2.2 kg = 0.025 kg

0.025*100% = 2.5%

Answer:

The circumference of circle is 101 units.

Step-by-step explanation:

Given that the diameter of circle is 32 units so you have to find radius by dividing it by 2 :

[tex]radius = diameter \div 2[/tex]

[tex]radius = 32 \div 2[/tex]

[tex]radius = 16 \: units[/tex]

Next, we have to apply circumference formula, C = 2×π×r where r represents radius which is 16 units :

[tex]c = 2 \times \pi \times r[/tex]

Let π = 22/7,

Let r = 16,

[tex]c = 2 \times \frac{22}{7} \times 16[/tex]

[tex]c = 32 \times \frac{22}{7} [/tex]

[tex]c = \frac{704}{7} [/tex]

[tex]c = 101 \: units \: (3s.f)[/tex]

__________________________________

Hey!!

Solution,

Diameter=32

Radius=32/2=16

Circumference of circle=?

Now,

Circumference of circle=2 pi r

=2*22/7*16

=100.57

hope it helps...

Good luck on your assignment

_________________________________

Answer:

D

Step-by-step explanation:

The range means the possible values of the y coordinate which is y ≥ 1 in this function

Answer:

x = 7

Step-by-step explanation:

-7x= -8x+7

Add 8x to each side

-7x+8x= -8x+8x+7

x = 7

Answer:

The value of [tex]x[/tex]:

[tex]x = 7[/tex]

Step-by-step explanation:

Solve for [tex]x[/tex]:

[tex]-7x = -8 x + 7[/tex]

Add both sides by [tex]8x[/tex]:

[tex]-7x + 8x = -8x + 8x + 7[/tex]

[tex]x = 7[/tex]

So, the final answer is [tex]x = 7[/tex] .

Answer:

Step-by-step explanation:

Triangle: bh/2 = 8*9/2 = 36 cm²

bottom square: 8*8 = 64 cm²

total surface area: 36*4 + 64 = 208 cm²

Answer:

12

Step-by-step explanation:

Answer:

4(x-6)=45

Step-by-step explanation:

x is the number

so a number decreased by six

x-6

all multiplied by 4

4(x-6)

is 45

4(x-6)=45

Answer:

 y = -3x + 60

Step-by-step explanation:

For the answer to the question above,

 let x = number of weeks let y = amount of waste.

The linear equation may be expressed as,y = mx + b

 m and b are the slope and y - intercept, respectively. Substituting the corresponding values,

  (Week 5)                     45 = 5m + b

  (Week 10)                   30 = 10m + b

Solving for m and b gives the values as m = -3 and b = 60. Thus, the equation is 

 y = -3x + 60

Answer: C

Step-by-step explanation: the other dude is right, he just didnt change y to f(x)    (f of x).

Answer:

Distributive property

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

you cant have same size without congruent

Answer:

£12

Step-by-step explanation:

Mathematically, we know that the mean is calculated by dividing the sum of the numbers by the count of the numbers.

Now, when they were 6 and the mean is £5, this means that the total is simply

6 * 5 = £30

Now, when a new student join, there is an increase in the value of the mean.

A new student joining means they are now 7 with the total now 7 * £6 = £42

Now the difference between the total of 6 and 7 will be £42 - £30 = £12

This value represents what the new pupil receive each week

Answer:

8 hours after noon (12 pm) is at 8 pm

At 8pm, temperature was -15°C

So, temperature was -15° below freezing point (0°)

Answer:

- 15

Step-by-step explanation:

8 hours after noon  is at 8 p.m.

At 8 p.m., temperature was -15 C

Thus, temperature was -15 below freezing point at 8 p.m.

Hope that helps!

Answer:

12 and 18

Step-by-step explanation:

sum the parts of the ratio, 2 + 3 = 5

30 ÷ 5 = 6 ← value of 1 part of the ratio

2 parts = 2 × 6 = 12

3 parts = 3 × 6 = 18

The numbers are 12 and 18

Answer:

7

Step-by-step explanation:

y=mx+b

b= y-intercept

So 7 is your answer

Answer:

(f • g)(x) = x² - 6x + 7

Step-by-step explanation:

Suppose

f(x) = x² - 2

g(x) = x - 3

Determine

(f • g)(x) = ...

We can compose the functions by doing the following

(f • g)(x) = f(g(x))

(f • g)(x) = f(x - 3)

(f • g)(x) = (x - 3)² - 2

(f • g)(x) = x² - 6x + 9 - 2

(f • g)(x) = x² - 6x + 7

I hope this helps!