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dem82 [27]
3 years ago
15

Deborah needs to make 16 costumes for the school play. Each costume requires 2 and 1/4 yards of material. How many yards of mate

rial will she need ? If she had 35.5 yards is that enough ?
Mathematics
1 answer:
patriot [66]3 years ago
3 0
35.5 wouldn’t be enough. She needs 2 1/4 of yards of material, first you would need to convert the fraction into a decimal and 1/4 is .25 which gives you 2.25 now you multiply 16 x 2.25 which gives you 36. That’s why 35.5 wouldn’t be enough.
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1. Mr. Miller is building a dollhouse
Lina20 [59]

Answer:

1 ft : 2.5 yd or 1 ft : 2 1/2 yd

Step-by-step explanation:

He wants a real dimension of 10 yards to be represented by a scale dimension of 4 ft.

4 ft : 10 yd

Divide both sides by 4.

1 ft : 2.5 yd or 1 ft : 2 1/2 yd

8 0
3 years ago
Find the surface area of a cubical planter<br> measuring 30 inches on a side.
Snezhnost [94]

30 x 30 = 900

This is the surface area of one side

900 x 6

Multiply by 6 to get the surface area of all 6 sides of the cube

900 x 6 = 5400

3 0
2 years ago
Use the figure below to answer the questions.
Archy [21]

Answer:

a. What is the name of the 3D shape?

The name of the 3D shape is Prism

b. What is the formula for total surface area for this shape?

Total surface area:

S=2A_{b}+P_{b}h

c. What is the surface area of the figure?

The surface area of the figure is 144 cm²

Step-by-step explanation:

a. What is the name of the 3D shape?

The 3D shape has two congruent and parallel faces (triangles) and the other faces are parallelograms, then the 3D shape is a prism


b. What is the formula for total surface area for this shape?

Total Surface area:

S=2A_{b}+P_{b}h

where:

Area of the base of the prism: Ab

Perimeter of the base: Pb

Height of the prism: h


c. What is the surface area of the figure?

The base of the prism is a triangle. Then to calculate the area of the base, we must use the formula to calculate the area of a triangle:

A_{b}=\frac{bh}{2}\\ A_{b}=\frac{(4 cm)(3 cm)}{2}\\ A_{b}=\frac{12cm^{2} }{2}\\ A_{b}=6cm^{2}

The perimeter of the base is the perimeter of the triangle, equal to the sum of the sides of the triangle:

P_{b}=4cm+3cm+5cm\\ P_{b}=12cm

h: Height of the prism is the distance between the bases of the prism (the triangle), then h=11 cm

Then, replacing in the formula the known values:

S=2(6 cm^{2})+(12 cm)(11 cm)\\ S=12 cm^{2}+132 cm^{2}\\ S=144 cm^{2}


8 0
3 years ago
TIME REMAINING
erik [133]

Answer:

$1,131.20 is the amount earned

Step-by-step explanation:

<u>Key skills needed: Simple Interest Formula, Operations ( +, - , x , / )</u>

1) To understand this problem, you need to know the simple interest formula.

A = P(1+rt)

A is the amount

P is the principal

R is the interest rate as a decimal

T is the time in years

2) The 1st thing we need to do is convert the interest rate into a decimal. We have 14%. To convert into decimal form, we divide it by a 100, or move the decimal 2 places to the left. This is 0.14 --> So r=0.14

3) Next we use the formula:

A = 1,010(1+ 0.14(8))

  1. We first do 0.14(8) which is 1.12 and then add it to the 1 value, so you will get --> A = 1,010(2.12)
  2. Multiply and you will get A = $2,141.20
  3. To find the interest earned, you subtract this by the original amount, so $2,141.20 - $1,010 which would be $1,131.20

This means $1,131.20 is your answer.

<em>Hope you understood and have a nice day!! :D</em>

8 0
3 years ago
Susan wants to have business cards printed. One style will cost $25 plus 2 per card. Another style will cost $10 plus 5 cent per
LUCKY_DIMON [66]
All they doing it counting by 5
5 0
3 years ago
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