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suter [353]
3 years ago
11

Sharon has a new beaded necklace. 72 out of the 80 beads on the necklace are blue. What

Mathematics
2 answers:
AveGali [126]3 years ago
6 0

Answer:

90%

Step-by-step explanation:

Step 1:

72/80 = x /100         Proportion

Step 2:

80x = 7200        Multiply

Step 3:

x = 7200 ÷ 80       Divide

Answer:

90%

Hope This Helps :)

erma4kov [3.2K]3 years ago
4 0

Answer:

Sharon bought a necklace with 90% blue beads.

Step-by-step explanation:

We are given that Sharon's necklace has 80 beads. We are also given that of those 80 beads, 72 of them are blue.

Therefore, we can set up a ratio of blue beads to total beads in order to find out the relationship.

\displaystyle \frac{72}{80}=\frac{36}{40}=\frac{18}{20}=\frac{9}{10}

Then, using the fraction we receive as a result, we can convert this to a decimal.

\displaystyle \frac{9}{10} = 0.9

After we complete this calculation, we can multiply our decimal by 100 in order to obtain the relationship in percentage form.

0.9 \times 100 = 90\%

Of the 80 beads, 90% were blue beads.

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Answer:

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Step-by-step explanation:

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8 0
3 years ago
Bacteria vary somewhat in size, but a diameter of 1.5 μ m is not unusual.
Dmitrij [34]

Answer:

a) 1.8 × 10^-12 cm³ or 1.8 × 10^-12 cubic meters

b) 7.1 × 10^-6 mm² or 7.1 × 10^-6 square millimeters

Step-by-step explanation:

a) We are assuming that the shape of the bacteria is a sphere.

Hence, Volume of the Sphere(Bacteria) = 4/3 × π × r³

Diameter = 1.5 μm

Radius = Diameter/2 = 1.5μm/2

= 0.75μm

We are told that the volume should be in cubic centimeters

Converting 0.75μm to centimeters

1 μm = 1 × 10^-4 cm

0.75 μm =

Cross Multiply

= 0.75 μm × 1 × 10^-4 cm/ 1 μm

= 0.000075cm

Volume of the Sphere(Bacteria) = 4/3 × π × r³

= 4/3 × π × (0.000075)³

= 1.767145867 × 10^-12 cm³

Approximately as 2 significant figures = 1.8 × 10^-12 cm³

b) The formula for the Surface area of a Sphere = 4πr²

Diameter = 1.5 μm

Radius = Diameter/2 = 1.5μm/2

= 0.75μm

We are told that the surface area should be in square millimeters

Converting 0.75μm to millimeters

1 μm = 0.001 mm

0.75 μm =

Cross Multiply

= 0.75 μm ×0.001mm/ 1 μm

= 0.00075mm

Surface Area of a Sphere

= 4 × π × r²

= 4 × π × 0.00075²

= 7.06858 ×10^-6 mm²

Approximately to 2 significant figures

= 7.1 × 10^-6 mm²

6 0
3 years ago
Find the distance between (-7,-2) and (11,3)
jarptica [38.1K]

Answer:

The answer is

<h2>\sqrt{349}  \:  \: units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

<h3>d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  }   \\</h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-7,-2) and (11,3)

The distance between the points is

<h3>d =  \sqrt{ ({ - 7 - 11})^{2} +  ({ - 2 - 3})^{2}  }  \\  =  \sqrt{ ({ - 18})^{2} +  ({ - 5})^{2}  }  \\  =  \sqrt{324 + 25}  \\</h3>

We have the final answer as

<h3>\sqrt{349}  \:  \: units</h3>

Hope this helps you

5 0
3 years ago
20.Ju
Solnce55 [7]

Answer:

A  viable solution is the ordered pair (0,0)

Step-by-step explanation:

we know that

The number of books cannot be a negative number

The number of books is a positive integer

The weight cannot be a negative number

therefore

A  viable solution is the ordered pair (0,0)

4 0
3 years ago
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For each equation determine whether it is linear.
Elan Coil [88]
The only linear equation is choice d
8 0
3 years ago
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