MATHEMATICS HIGH SCHOOL

clara has £7. she buys some chocolate bars at 63p each and has 7p left over. how many chocolate bars did she buy?

Answers

Answer 1
Answer:

Clara bought 11 chocolate bars. Let x be the number of chocolate bars Clara buys.

The cost of each chocolate bar is 63p, so the total cost of x chocolate bars is 63x pence.

After buying the chocolate bars, Clara has 7p left over.

Now we can write the equation:

Total money spent on chocolate bars + Money left over = Total money Clara has initially

63x + 7 = 700 (Since £7 is equivalent to 700p)

Now, let's solve for x:

63x = 700 - 7

63x = 693

x = 693 / 63

x = 11

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Answer 2
Answer:

Answer:

11 bars

Step-by-step explanation:

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Lauren’s age can be represented by the expression 10m2. Kristen’s age can be represented by the expression 2m5.What is the ratio of Lauren’s age to Kristen’s age?

Answers

The ratio of Lauren's Age to Kristen's Age =\rm5:m^3

Ratio of two numbers is a quantitative relationship between two numbers showing that  how one number is increasing or decreasing with respect to other number.

If a and b are two numbers then the their ratio r is represented by the equation  (1)

r = a:b......(1)

Lauren' s Age = 10m^2

Kristien's Age = 2m^5

For Finding out the ratio of two numbers we simply divide them.

Let x be the ratio of Lauren's age to Kristen's age, = x  = \rm10m^2/\rm2m^5.....(2)

On simplifying equation (2) we get

x = \rm5/m^3

So the ratio of Lauren's Age to Kristen's Age = \rm5:m^3

For more information please refer to the link below

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Given: 
Lauren's age =  10 m^(2)
Kristen's age = 2 m^(5)

ratio of Lauren's age to Kristen's age = (10 m^(2) )/(2 m^(5) )
 
                                                      = (2 * 5* m^(2) )/(2* m^(5) )
                                            
                                                     = (5 )/( m^(5-2) )
          
                                                      = (5 )/( m^(3) )

So, the ratio is 5  :  m³

Ada writes 10 + 8 = 18 on the board. Maria wants to use the commuatative property of addition to rewrite adas addition sentence. What number sentence should Maria write ?

Answers

"commutative property" in addition and multiplication means that you can exchange the places of integers in addition and multiplication and still get the same answer.

For this question:
10 +  8 = 18 can be rewritten using commutative property as: 8 + 10 = 18

What is :

(49^x)(7^x^2)=2401^2

Answers

(49^x)(7 ^(x^2))=2401^2 \n \n( (7^2)^x)(7 ^(x^2))= (7^4) ^2 \n \n 7 ^(2x)\cdot 7^(x^2)=7^(8) \n \n 7 ^(2x+x^2) =7^(8) \n \n2x+x^2 =8

 x^2-2x-8 = 0\n \n a=1, \ b=-2, \ c=-8 \n \n\Delta =b^2-4ac = (-2)^2 -4\cdot1\cdot (-8) = 4 +32 =36 \n \nx_(1)=(-b-√(\Delta) )/(2a)=(2-√(36))/(2 )=( 2-6)/(2)=(-4)/(2)=-2 \n \nx_(2)=(-b+√(\Delta) )/(2a)=(2+√(36))/(2 )=( 2+6)/(2)=(8)/(2)= 4 \n \nAnswer: \ x=-2 \ \ or \ \ x=4
(49^x)(7^(x^2))=2401^2\n \n7^(2x) \cdot7^(x^2)=(7^4)^2\n \n7^(2x+x^2)=7^8\ \ \ \Leftrightarrow\ \ \ 2x+x^2=8\ \ \ \Leftrightarrow\ \ \ x^2+2x-8=0\n \nx^2-2x+4x-8=0\ \ \ \Leftrightarrow\ \ \ x(x-2)+4(x-2)=0\n \n(x-2)(x+4)=0\ \ \ \Leftrightarrow\ \ \ ( x-2=0\ \ \ \vee\ \ \ x+4=0)\n.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=-4

Simplify n - {1 - [n - (1 - n) - 1]}.
n - 1
-n - 1
3n - 3
-3n + 3

Answers

n - {1 - [n - (1 - n) - 1]}          first you do - (1 - n)  [multiply -1 to 1 - n)

n - {1 - [n - 1 + n - 1]}

n - {1 - [n + n - 1 - 1]}

n - {1 - [2n - 2]}                 you do - (2n - 2)  [multiply -1 to 2n - 2)

n - {1 -2n + 2}

n - {-2n + 3}                     you do - (-2n + 3)  [multiply -1 to -2n + 3)

n + 2n - 3

3n - 3
answer

Answer: the correct answer is 3n-3

What is the formula for volume of a cylinder​

Answers

Answer:

V=πr2h

Explanation:

Hope this helps

Answer:

πr^2h

Step-by-step explanation:

it's pie multiplying square of radius and height of cylinder

A moving company is trying to store boxes in a storage room with a length of 5 m, width of 3 m and height of 2 m. How many boxes can fit in this space if each is 10 cm long, 6 cm wide and 4 cm high?

Answers

The number of the boxes can fit in this space if each is 10 cm long, 6 cm wide and 4 cm high will be 125,000.

What is the volume of the rectangular prism?

Let the prism with a length of L, a width of W, and a height of H.

Then the volume of the prism is given as

V = L x W x H

A moving company is trying to store boxes in a storage room with a length of 5 m, width of 3 m and height of 2 m.

Then the volume of the room (in cm) will be

V₁ = 500 x 300 x 200

V₁ = 30,000,000 cubic cm

Then the number of the boxes can fit in this space if each is 10 cm long, 6 cm wide and 4 cm high will be

The volume of each box will be

V₂ = 10 x 6 x 4

V₂ = 240 cubic cm

The number of the boxes can fit in this space if each is 10 cm long, 6 cm wide and 4 cm high will be

V₁ / V₂ = 30,000,000 / 240

V₁ / V₂ = 125,000

More about the volume of the prism link is given below.

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Volume of room = 500 * 300 * 200 cm

= 30000000 cm³

Volume of 1 box = 10 * 6 * 4

= 240 cm³

Thus, number of boxes in the room

= 30000000/ 240
= 125000 boxes ;

Thus, 125000 boxes can be stored in the room.
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