MATHEMATICS MIDDLE SCHOOL

A shopper bought shoes marked $40. the sales tax is 8%. how much did the shopper pay in all

Answers

Answer 1
Answer: 8% equals 3.2. If you add $40 plus $3.2 cents that shopper would of paid $43.2 cents.
Answer 2
Answer:

Answer:

43.2

Step-by-step explanation:

You only have to:

1-convert 8% to a decimal moving the point twice to the left.

2-multiplying 40 by 0.08

3- add the product of the multiplication that you just did and that will give you the answer✨

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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Calculate the area of the composite figure, which is not drawn to scale.

Answers

The total area of the composite figure will be equal to 488 square meters.

What is an area?

The space occupied by any two-dimensional figure in a plane is called the area. Here we have two figures a rectangle and a right-angle triangle.

We have the following data:-

  • Rectangle L = 22 cm
  • Rectangle w= 17 cm
  • Triangle B= 19 cm
  • Trinagle H= 22-10= 12 cm

Total area = Area of rectangle  +  Area of triangle

Total area = (L x W) + (1 / 2)[ B x H]

Total area = ( 22 x 17 ) + (1 / 2)[  12 x 19 ]

Total area = ( 374 + 114 ) = 488 sq2uare meters

Therefore the total area of the composite figure will be equal to 488 square meters.

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First, I would multiply 17cm by 22cm to get 374, which is the area of the rectangle. Then to find the area of the triangle, I would multiple 12cm by 19cm and the divide that by half to get 114. I would then add 374+114 to get 488cm as your answer.

A sphere and a right cylinder have the same radius and volume. The cylinder has a height of 6 centimeters. What is the radius?

Answers

You are going to solve this in such a quick, slick way
that you will blink and not believe it.  Fasten your seat belt.

Here are the tools you'll need:

--  Volume of a cylinder  =  (pi) (radius)² (height)

--  Volume of a sphere  =  (4/3) (pi) (radius)³

Now ... the question says that your cylinder and your sphere
have the same volume.  Fine !  So you can immediately write
an equation saying that their volumes are equal.

                               (pi) (radius)² (height)  =  (4/3) (pi) (radius)³

Divide each side by pi:    (radius)² (height)  =  (4/3)       (radius)³

Divide each side by (radius)²        (height)  =  (4/3)        (radius)

Fill in the given height:                  (6 cm)    =  (4/3)      (radius)

Multiply each side by  3/4 :    (6 cm) x (3/4)  =             radius

I'm pretty sure that you can take over now and find the radius.

a trapezoid has bases of 15 inches and 7 inches, its height is 6 inches. what is the equaton to find the area

Answers

the answer would be 66 because formula for traezoid is base 1 plus base 2 times height divide by 2 just plug in numbers and get 66

Explain how algebra tiles represent like terms and zero pairs

Answers

Final answer:

Algebra tiles visually represent like terms by using the same tiles to represent the same variables or numbers. Zero pairs are represented by combining a positive and negative tile to represent 'zero', which is crucial in simplifying expressions or solving equations.

Explanation:

In mathematics, specifically in algebra, algebra tiles are a visual tool that are often used to teach concepts. These tiles usually include small squares to represent the number 1, bars to represent variables, and large squares to represent squares of variables.

They are used to represent like terms, which in algebra are terms that contain the same variables raised to the same power. For instance, if you have 3x and 2x, these can be considered like terms because they both contain the variable 'x'. In the context of algebra tiles, you would use three 'x' bars to represent 3x and two 'x' bars to represent 2x.

On the other hand, zero pairs are pairs of numbers that combine to give zero. Using algebra tiles, a zero pair can be represented by placing a positive tile and a negative tile together, which would cancel each other out, effectively representing 'zero'. This concept is important when simplifying expressions or solving equations.

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Rewrite the formula for the circumference of a circle C=2 /pi r in terms of its diameter d.Show your work please

Answers

If C=2πr, it would also mean C=πd.

Final answer:

The formula for the circumference of a circle can be rewritten in terms of its diameter by replacing the '2r' with 'd', given that the diameter is twice the radius. This yields the new formula: C = πd.

Explanation:

The original formula for the circumference of a circle is C = 2πr, where 'C' represents the circumference, 'π' is a mathematical constant approximately equal to 3.14, and 'r' is the radius of the circle.

  • To rewrite this formula in terms of the diameter, we need to know the fundamental relationship between the radius and the diameter of a circle. In every circle, the diameter 'd' is simply twice the radius: d = 2r.
  • Substituting this into the original formula, we replace the '2r' in 'C = 2πr' with 'd'. This gives us the new formula: C = πd.

So, the formula for the circumference of a circle in terms of its diameter is C = πd.

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When 40% of the girls left the school assembly, the ratio of the number of boys to girls became 3 to 4. If there were w girls when the assembly started, what was the total number of boys when the assembly started?

Answers

I am pretty sure the answer is 15 boys at the beginning of the assembly.
That would mean that there were 28 girls there, and if 40% of them left, which would mean that 8 left, leaving 20 girls. This would leave the assembly with a 3:4 ratio of boys to girls.
There were 15 boys at the beginning of the assembly and 28 girls
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