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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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In a shipment of 22 smartphones, 2 are defective. How many ways can a quality control inspector randomly test 4 smartphones, of
Eddi Din [679]

Answer:

Therefore the required ways are =190

Step-by-step explanation:

Combination: Combination is the number of selection of items from a collection of items where the order of selection does not matter.

Total number of smartphones =22

Defective phone = 2

Non defective phone = (22-2) =20

The control inspector randomly test 4 smartphones of which 2 are defective.

Non defective phone = 2

The ways to select 2 non defective phone is

^{20}C_2=\frac{20!}{2!(20-2)!} =\frac{20!}{2!18!}=\frac{19\times 20}{2} =190

The ways to select 2 defective phone is= ^2C_2=1

Therefore the required ways are = (190×1) =190

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If the discriminant of a quadratic equation is equal to -9, which statement describes the roots?
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ANSWER

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EXPLANATION

The quadratic equation

a {x}^{2}  + bx + c = 0

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If the discriminant is less than zero , then the quadratic equation has no real roots.

The given discriminant is -9.

Since -9 is less than zero, it means the quadratic equation has complex or imaginary roots.

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