MATHEMATICS MIDDLE SCHOOL

19. If the scale is 1:100 on a plan, and a fence is 7,500 mm,how many millimetres will it measure on the plan?
mm​

Answers

Answer 1
Answer:

Answer:

It will measure 75 millimetres on the plan.

Step-by-step explanation:

Given:

Scale on the plan = 1:100

Length of the fence =  7,500 mm

To find:

how many millimetres will it measure on the plan

Solution:

As the ratio on the plan is 1: 100, the for 7500 the ratio will

x : 7500

Now by cross multiplication we get

7500 * 1 = x * 100

7500 = 100x

x =( 7500)/(100)

x = 75

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The surface area of a right triangular prism is 228 square inches. The base is a right triangle with a base height of 6 inches and a base length of 8 inches. The length of the third side of the bae is 10 inches. Find the height of the prism.Please help meeeee!!!!!!

Answers

Answer:

The height of right triangular prism is 7.5 in.

Step-by-step explanation:

The base is a right triangle with a base height of 6 inches and a base length of 8 inches. The length of the third side of the base is 10 inches.

The area of a triangle is

A=(1)/(2)\tims base* height

A_1=(1)/(2)\tims 6* 8=24

Let the height of the prism be h.

Area of a rectangle is

A=length* width

A_2=6* h=6h

A_3=8* h=8h

A_4=10* h=10h

The surface area of a right triangular prism is

A=2* \text{Area of base}+\text{Area of three rectangles}

A=2* (A_1)+A_2+A_3+A_4

A=2* (24)+6h+8h+10h

A=48+24h

The surface area of a right triangular prism is 228 square inches.

228=48+24h

180=24h

h=7.5

Therefore the height of right triangular prism is 7.5 in.
look\ at\ the\ picture\n\nArea=228\ in^2\n\nArea=2A_1+A_2+A_3+A_4\n\n2A_1=2\cdot(6\cdot8)/(2)=48\ (in^2)\n\nA_2=8H\n\nA_3=6H\n\nA_4=10H

48+8H+6H+10H=228\n\n48+24H=228\ \ \ /-48\n\n24H=180\ \ \ /:24\n\nH=7.5\ (in)

True or false the expression 5x - 3(2x-4) is equivalent to the expression 12-x

Answers

5x-3(2x-4)=5x-6x+12=-x+12=12-x

True.
To check, just simplify the first expression:

5x - 3(2x - 4)
BODMAS: BRACKETS FIRST
5x - 6x + 12
THEN SIMPLIFY X
-x + 12
REARRANGE TO GIVE THE SECOND EXPRESSION
12 - x

A bag contains 12 oranges, 8 nectarines, 7 red apples, and 3 green apples. One fruit is chosen without looking.Find P (any apple or nectarine).

A. 33.3%
B. 40%
C. 60%
D. 80%

Answers

B. 40% would be the percentage one is chooses without looking
I'm pretty sure the answer is B, 40% 

Angie baked 100 cookies and 20 brownies . she wants to split them into equal groups for the bake sale . each group must have the same number of cookoes and brownies with none left over. What is the greatest number of groups she can make?

Answers

I would say for every 1 brownie, there are 5 cookies.
Yes cheetah is correct.She would have 1 brownie and 5 cookies,She would have 20 groups.

Solve the following quadratics. State the FACTORS AND SOLUTIONS. 1. 2x^2 - 7x + 3 2. 3x^2 + 7x +2

Answers

Answer:

1. x = 3, 1/2 (solutions); (x - 3)(2x - 1) (factors)

2. x = -1/3, -2 (solutions); (3x + 1)(x + 2) (factors)

Step-by-step explanation:

1. 2x^2 - 7x + 3

To solve problem 1, you will need to identify your a, b, and c values in this quadratic function.

Since this problem is in standard form, it will be easy to identify these values. The standard form of a quadratic function is ax^2 + bx + c.

The a value is 2, the b value is -7, and the c value is 3 if we use our standard form and see which numbers are plugged into it.

Since we know that

  • a = 2
  • b = -7
  • c = 3

we can use the quadratic formula: x = (-b~\pm~√(b^2~-~4ac) )/(2a)

Substitute the a, b, and c values into the quadratic formula: x=(-(-7)\pm√((-7)^2-4(2)(3)) )/(2(2))

Now simplify using the laws of pemdas: x=(7\pm√((49)-(24)) )/(4)

Simplify even further: x=(7\pm√((25)) )/(4) \rightarrow x=(7\pm (5) )/(4)

Now split this equation into two equations to solve for x: x=(12 )/(4) ~~and~~ x=(2 )/(4)

12/4 can be simplified to 3, and 2/4 can be simplified to 1/2.

This means your solutions to problem 1 is 3, 1/2.

\boxed {x=3,(1)/(2) }

There is also another way to solve for the quadratic functions, and this was by factoring.

If you factor 2x^2 - 7x + 3 using the bottoms-up method, you will get (x - 3)(2x - 1).

After factoring, solving for the solutions is simple because all you have to do is set each factor to 0.

  • x - 3 = 0
  • 2x - 1 = 0

After solving for x by adding 3 to both sides, or by adding 1 to both sides then dividing by 2, you will end up with the same solutions: x = 3 and x = 1/2.

2. 3x^2 + 7x + 2

To save time I'll be using the bottoms-up factoring method, but remember to refer back to problem 1 (quadratic formula) if you prefer that method.

Factor this quadratic function using the bottoms-up method. After factoring you will have (3x + 1)(x + 2). These are your factors.

Now to solve for x and find the solutions of the quadratic function, you will set both factors equal to 0.

  • 3x + 1 = 0
  • x + 2 = 0

Solve.

First factor: 3x + 1 = 0

Subtract 1 from both sides.

3x = -1

Divide both sides by 3.

x = -1/3

Second factor: x + 2 = 0

Subtract 2 from both sides.

x = -2

Your solutions are x = -1/3 and x = -2.

\boxed {x = -(1)/(3) , -2}

Is 45 /5 equal to a whole number or mixed number and why

Answers


it is both. why? because 45/5 is greater than 1
A whole Number because if you were to put the fraction into decimal form it would end up being a whole number.
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