Reduce the fraction
72/120
Enter your answer as a fraction in simplest form, using the / symbol, like this: 42/53
Or, if the denominator is 1. enter your answer as a number, like this: 42

Answer:

£60

Step-by-step explanation:

Given that

The cost after reduction  = £54

So, 90% = £54

We have to find 100%

To do so, find 10% and ,multiply that by 10

90% = £54

10% = 54/9 = £6

1005 = 6x10 = £60

Hope this helps,.

Please mark brainiest

Answer:

see explanation

Step-by-step explanation:

Given x = 12, y = 144

We can see that y is 12 times the value of x, thus

(a)

y = 12x

(b)

when x = 7, then

y = 12 × 7 = 84

Answer:

x = 4

Step-by-step explanation:

2x = 8

Divide both sides by 2.

x = 8/2

x = 4

The value of x in the equation is 4.

Answer:

0

Step-by-step explanation:

To solve this equation, first find out 4y, which equals 16. Then do the full equation, 16-16=0.

Answer:

Let 16-4y=0

Substracting 16 on both sides

16-16-4y=-16

-4y=-16

4y=16

y=4

Rebutting the value of y

=16-4(4)

=16-16

=0

Step-by-step explanation:

I hope this will help you :)

Answer:

?=3

Step-by-step explanation:

a= 3/5 b - 7

Answer:

the number that should be in the green box is 3

Step-by-step explanation: since it is three-fifths, in numerical way, it should be written as 3/5..

7 less than three fifths of b is a gives 3/5b-7=a

Answer:

m∠K = 69°

Step-by-step explanation:

"When two tangents or secants intersect outside the circle, exterior angle formed between the tangents of secants is one half the difference of major and minor arcs"

By this theorem,

m(∠K) = [tex]\frac{1}{2}[m(\widehat{LBJ}-m(\widehat{LJ})][/tex]

Here, [tex]m(\widehat{LBJ})[/tex] = 249°

[tex]m(\widehat{LJ})[/tex] = 360° - 249°

          = 111°

m∠K = [tex]\frac{1}{2}(249-111)[/tex]

        = [tex]\frac{138}{2}[/tex]

        = 69°

Therefore, measure of angle K = 69° will be the answer.

Answer:

a) Each friend gets 12 sweets

b) There is 1 sweet left

Step-by-step explanation:

When you divide 49 by 4 you will get 12 with a remainder 1.

49 ÷ 4 = 12 R1

The remainder is the left over while the total result is how much each friend gets.

Answer:

A) 12

B) 1

Step-by-step explanation:

49 cannot be divided equally among the 4 friends but 48 can be divided.

A) So,

48/4 = 12 sweets

Each friend gets 12 sweets

B) 1 sweet is left

Answer:

Step-by-step explanation:

if x+3 is a factor, then -3 is a root of expression, and the remainder would be 0

calculating remainder:

[tex]-3(-3)^3+6(-3)^2+6(-3)+9=-3\cdot(-27)+6\cdot9-18+9=\\\\=81+54-9=126[/tex]

Answer:

Im pretty sure its D- 123

Step-by-step explanation:

Edg 2020

Answer:

Option (i)

Step-by-step explanation:

{2} has only 1 subset i.e. {2} and no other subset. While { } or ∅ has no subset.

Answer:

7∠82°

Step-by-step explanation:

Well angle 6 and 7 are complementary angles, meaning they both add up to 180°.

So we do 180 - 98 which is 82°.

Answer: The measure of angle 7 is 82 degrees.

Step-by-step explanation:

Angle  6 and 7  lies on a straight line so they will add up to 180 degrees.

So if Angle 6 is 98 degrees then an a number plus 98 has to equal 180.

so we could generate an equation as x + 98 = 180  

x + 98 = 180 solve for x

 -98      -98

x= 82  

Answer: 36

Step-by-step explanation:

Let the no. of biscuits be x

Peanuts will be 1/3x

So,

1/3x + 12 + 12 = x

1/3x + 24 = x

x + 72 = 3x

x-3x = -72

x = 72/2 = 36

Peanut biscuits will be 1/3 * 36 = 12

Total no. of biscuits baked were 12+12+12 = 36

Answer:

Man-hours to build the wall: 3 * 10 = 30

:

let m = no. of men required to do it 7.5 hrs

7.5m = 30

m = [tex]\frac{30}{7.5}[/tex]

m = 4 men to build it in 7.5 hrs

Step-by-step explanation:

Answer:

-1/8

Step-by-step explanation:

(-1/2)(-1/2)(-1/2)=-1/8

Answer:

solution,

[tex] (\frac{ - 1}{2} ) ^{3} \\ = \frac{( { - 1)}^{3} }{( {2}^{3} )} \\ = \frac{ - 1 \times ( - 1) \times ( - 1)}{2 \times 2 \times 2} \\ = - \frac{ 1}{8} [/tex]

hope this helps...

Good luck on your assignment

Answer:

4 ( x-1)^2

Step-by-step explanation:

4x^2 − 8x + 4.

Factor out the greatest common factor

4( x^2 -2x+1)

Factor inside the terms

4( x-1) (x-1)

4 ( x-1)^2

Answer:

4(x-1)(x-1)

4(x^2-2x+1) C

Step-by-step explanation:

4x^2 − 8x + 4 common factor 4

4(x^2-2x+1)

4(x-1)(x-1) or (4x-4)(x-1)

Answer:

x=sqrt(3)/2 or -sqrt(3)/2

Step-by-step explanation:

(x,1/2) is on the unit circle at pi/6 and 5pi/6.

so x is either sqrt(3)/2 or -sqrt(3)/2

Answer:  [tex]-\sqrt{3}/2[/tex]

Step-by-step explanation: I did the question and got it right

Answer:

6A) i) 5 and 3 product is 15

ii) (-5) and (-3) product is 15

6B. The product of 5·i and 3·i is -15

6C. When two or more real factors are multiplied and they have the same sign, the product is positive

Step-by-step explanation:

6A. To examples that support Francisco's statement are;

Given the factors that have the same sign;

i) 5 and 3 both positive

ii) (-5) and (-3) both negative

The products of each of the two factors are therefore;

5 × 3 = 15 (Positive product)

(-5) × (-3) = 15 (Positive product)

6B. An example that refutes Francisco's claim is the product of two imaginary numbers 5·i and 3·i where i = √(-1) as follows;

5·i × 3·i = 15·i² = 15×i×i = 15 × √(-1) ×√(-1) = 15×(√(-1))² = 15 × (-1) = -15

Therefore;

5·i × 3·i = -15 which is a negative number and therefore refutes Francisco's claim

6C. Francisco could rewrite his statement as follows;

When two or more real factors are multiplied and they have the same sign, the product is positive

To make it always true.

Answer:

0.008.

Step-by-step explanation:

10^-3 basically tells you to move the decimal point to the left by three digits.

Right now, you have 8. If the decimal point were to move left by three digits, you can visualize 8 as 0008. Move left by three digits, and you get 0.008.

Hope this kind of helps!

Answer:

0.008.

hope this helps :)

Answer

4141

4141/4=1035.25

Answer:

5234

Step-by-step explanation:

The equation y is equal to 55(1.06) to power x models the relationship between the x-axis which represents years and the y-axis, which represents number of bison.

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent y = a^x

where a is a constant and a>1

We have:

A herd of bison currently has 55 members, and biologists estimate that the size of the herd will increase at a rate of 6% per year.

We can model this relationship:

[tex]\rm y = 55(1+0.06)^x\\\\\rm y = 55(1.06)^x[/tex]

Thus, the equation y is equal to 55(1.06) to power x models the relationship between the x-axis which represents years and the y-axis, which represents number of bison.

Learn more about the exponential function here:

brainly.com/question/11487261

#SPJ2

Answer:

31

Step-by-step explanation:

We just have to calculate 87 - 56 which is 31 so the answer is 31 sunflowers.

Answer:

31

Step-by-step explanation:

Since we know that we started with a higher number than we ended with, it is obvious that this is a subtraction problem. Then, we simply have to find the difference by subtracting 87 by 56 (87 - 56 = x). After the calculation, we see that the answer is 31 (87 - 56 = 31).

Answer:

Let's call the numbers n and n + 2.

(n + 2)² - n²

= n² + 4n + 4 - n²

= 4n - 4

= 4(n - 1)

Answer:

£3.96

Step-by-step explanation:

Data obtained from the question include:

Isaac's ratio = 2

Victoria's ratio = 5

Total ratio = 2 + 5 = 7

Amount Victoria recieve = £6.60.

Next, we shall determine the total amount of money shared by Isaac and Victoria. This is illustrated below:

Let T be the total amount of money shared.

Victoria received = £6.60

Victoria's share =

Victoria's ratio/total ratio x total amount

£6.60 = 5/7 x T

£6.60 = 5T/7

Cross multiply

5T = £6.60 x 7

5T = £46.2

Divide both side by 5

T = £46.2/5

T = £9.24

Therefore, the total amount shared is £9.24.

Next, we shall determine the amount received by Isaac. This is illustrated below:

Victoria's share = £6.60

Total amount shared = £9.24.

Isaac's share =?

Isaac's share = Total amount shared – Victoria's share

Isaac's share = £9.24 – £6.60

Isaac's share = £2.64

Therefore, Isaac received £2.64

Finally, we shall determine the difference between how much money Isaac and Victoria receive. This is illustrated below:

Victoria recieve = £6.60

Isaac receive = £2.64

Difference = £6.60 – £2.64

Difference = £3.96

Therefore, the difference in the amount received by Victoria and Isaac is £3.96

Answer:

The width (side perpedicular to the wall of the werehouse):  x = 30 m

The lenght (side parallel to the wall of the werehouse):  y = 60 m

Step-by-step explanation:

x - the width of the fenced area

Randy has 120 m of fencing so for the lenght remain (120-2x) m of fencing:

y = 120 - 2x

Area of the fencing:  A = x•y

A(x) = x•(120 - 2x)

A(x) = -2x² + 120x              ←  quadratic function

The maximum value of quadratic function occurs at:  [tex]x=-\frac b{2a}[/tex]

a = -2     b = 120

[tex]x=-\frac b{2a}=-\frac{120}{2\cdot(-2)}=-\frac{120}{-4}=30[/tex]

y = 120 - 2•30 = 60

Answer: There is one solution, -20

Step-by-step explanation:

[tex]-6(x+7)=-4x-2\\\\Distribute\\\\-6x-42=-4x-2\\\\Add(6x)\\\\-42=2x-2\\\\Add(2)\\\\-40=2x\\\\x=-20[/tex]

There is one solution, -20

Hope it helps <3

Answer:

Step-by-step explanation:

Solution,

[tex] - 6(x + 7) = - 4x - 2[/tex]

Distribute -6 through the parentheses

[tex] - 6x - 42 = - 4x - 2[/tex]

Move variable to L.H.S and change its sign

[tex] - 6x + 4x - 42 = - 2[/tex]

Move constant to R.H.S and change its sign

[tex] - 6x + 4x = - 2 + 42[/tex]

Collect like terms

[tex] - 2x = - 2 + 42[/tex]

Calculate the sum

[tex] - 2 x = 40[/tex]

Divide both sides of the equation by - 2

[tex] \frac{ - 2x}{ - 2} = \frac{40}{ - 2} [/tex]

Calculate

[tex] x = - 20[/tex]

Hope this helps..

Good luck on your assignment..

Answer:

1

Step-by-step explanation:

Factors of 9 are:

1, 3, 9

Factors of 20 are:

1, 2, 5, 10, 20

The greatest common factor is 1.

RU is a diameter, so the two equations make half a circle which is 180 degrees.

24x+5 + 10x+5 = 180

Combine like terms:

34x + 10 = 180

Subtract 10 from both sides:

34x = 170

Divide both sides by 34

X= 5

RS= UV

RS = 10x +5

Replace x with 5

RS = 10(5) + 5 = 55

Answers:

X = 5

RS = 55

Answer:

16 or 1. There are 2 different answers depending on how you take the question as.

Step-by-step explanation:

8÷2(2+2)=

8÷2(4)=

4(4)=

16

OR

8÷2(2+2)=

8÷2(4)=

8÷8=

1

Answer:

Just QT and UX

Step-by-step explanation:

QT and TX intersect and are not parallel.

QU and ST are not parallel or intersecting.

QT and WX are not parallel or intersecting.

QT and UX are parallel.