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Ierofanga [76]
3 years ago
11

A seamstress uses 3/4 yards of material to make a uniform top for band members. If there are 6 3/4 yards of material left on the

bolt, how many uniform tops can she make?
Mathematics
1 answer:
dalvyx [7]3 years ago
4 0

Answer:

She can make 9 uniform tops from the material left.

Step-by-step explanation:

Given:

Yards of material left on the bolt = 6\frac{3}{4}

Material requirement for a uniform top for band members = \frac{3}{4}\ yd

To find the number of tops that can be made from the material left.

Solution:

In order to find the number of tops that can be made from 6\frac{3}{4} yards of material, we need to divide 6\frac{3}{4}\ yd  by  \frac{3}{4}\ yd.

Number of uniform tops that can be made is given as:

⇒ 6\frac{3}{4}\div \frac{3}{4}

We first convert mixed number to fractions.

⇒  \frac{27}{4}\div \frac{3}{4}

To divide fractions the fractions are multiplied after flipping the divisor.

⇒ \frac{27}{4}\times \frac{4}{3}

⇒ \frac{27}{3}

⇒ 9

Thus, she can make 9 uniform tops from the material left.

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damaskus [11]
4/7,8/14,12/21,16/28,20/35,24/42,28/49,32/56,36/63,40/70 and so on are equivalent fractions to 4/7
4 0
3 years ago
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A bakery uses 8 table spoons of honey for every 10 cups of flour to make bread dough some days they bake bigger batches and some
Arada [10]

Answer:

The ratio would be, 4 tablespoons of honey: 5 cups of flour

Step-by-step explanation:

4/5 is the simplified version of 8/10, which is what we were first given

6 0
2 years ago
Is 56/7 a rational number or
Sati [7]

Answer:

Yes

Step-by-step explanation:

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4 0
3 years ago
Identify the area of a regular hexagon with side length 14 in. rounded to the nearest tenth.
kakasveta [241]
\bf \textit{area of a regular polygon}\\\\
A=\cfrac{1}{4}ns^2\ cot\left( \frac{180}{n} \right)\qquad 
\begin{cases}
s=\textit{length of a side}\\
n=\textit{number of sides}\\
\frac{180}{n}=\textit{angle in degrees}\\
----------\\
s=14\\
n=6\leftarrow hexagon
\end{cases}
\\\\\\
A=\cfrac{1}{4}\cdot 6\cdot 14^2\cdot cot\left( \frac{180}{6} \right)

make sure your calculator is in Degree mode
4 0
4 years ago
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The covered part of this figure is a semicircle. What is the best approximation for the area of this figure?
zalisa [80]

Answer:

 94.18                            

Step-by-step explanation:

Given in the question a semi circle and a right angle triangle

Step 1

Find the diameter of the semi circle

To find the diameter we will use pythagorus theorem

<h3>hypotenuse² = height² + base²</h3>

here,

hypotenuse will be diameter of semicircle

height = 9

base = 4

Plug values in the formula above

diameter = √(9²+4²)

diameter = √97

Step 2

Find radius

<h3>radius = diameter / 2</h3>

Step 3

Area

<h3>π(r)²</h3>

π(√97/2)²

= 76.18

Step 4

Total surface area = area of circle + area of right angle triangle

                               = 76.18 + 1/2(9)(4)

                               = 94.18

6 0
3 years ago
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