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Fudgin [204]
2 years ago
5

How can you solve 6+4/5B=9/10b

Mathematics
1 answer:
faltersainse [42]2 years ago
8 0
6+\frac{4}{5}b=\frac{9}{10}b \ \ \ |-\frac{4}{5}b \\ \\
6=\frac{9}{10}b-\frac{4}{5}b \\ \\
6=\frac{9}{10}b-\frac{8}{10}b \\ \\
6=\frac{9-8}{10}b \\ \\
6=\frac{1}{10}b \ \ \ |\times 10 \\ \\
b=60
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A semicircular archway is built in front of a garden using 8 congruent granite tiles, as shown in the diagram. Find the area of
iris [78.8K]
Given: 
8 tiles
radius from the center of the archway to the inner edge of the tile. 7 ft.
radius from the center of the archway to the outer edge of the tile. 8 ft = 7 ft + 1 ft.

Area of a semi circle = π r² / 2 
A = (3.14 * (7ft)²) / 2 = (3.14 * 49ft²) / 2 = 153.86 ft² / 2 = 76.93 ft²
A = (3.14 * (8ft)²) / 2 = (3.14 * 64ft²) / 2 = 200.96 ft² / 2 = 100.48 ft²

100.48 ft² - 76.93 ft² = 23.55 ft²
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3 0
2 years ago
4x + y = 10<br> 7x + 2y = 17
Nezavi [6.7K]

Answer:

x = 3, y = - 2

Step-by-step explanation:

By substitution method,

4x + y = 10 -------> equation 1.

7x + 2y = 17 -------> equation 2.

From equation 1,

y = 10 - 4x ------> equation 3.

Substitute equation 3 in 2,

7x + 2 ( 10 - 4x ) = 17

7x + 20 - 8x = 17

7x - 8x = 17 - 20

- x = - 3

x = 3

Substitute x = 3 in equation 1,

4 ( 3 ) + y = 10

12 + y = 10

y = 10 - 12

y = - 2

Hence,

x = 3

y = - 2

6 0
1 year ago
Read 2 more answers
the price of a cup of coffee has dropped to $2.20 today. Yesterday's price was $2.35. Find the percentage decrease. Round your a
notka56 [123]

Answer:

6.4%

Step-by-step explanation:

percentage decrease= decrease/actually amount×100

2.35-2.20/2.35×100

0.15/2.35×100

0.06383×100=6.4%

Percentage decrease=6.4%

6 0
1 year ago
If the average speed of a garden snail is 0.025 miles per hour and one inch is approximately 2.54 centimeters, how many minutes
BaLLatris [955]

Snail takes 1.5 minutes to travel around one meter

<u>Solution:</u>

Given, the average speed of a garden snail is 0.025 miles per hour  

And one inch is approximately 2.54 centimeters,  

We have to find how many minutes would it take a garden snail to travel one meter?  

Now, let us convert the speed in miles per hour to meters per minute

Then, speed = 0.025 miles per hour  

= 0.025 x 1 mile / 1 hour  

= 0.025 x 1609.34 meters / 60 minutes

= 0.025 x 1609.34 / 60 meters per minute

\begin{array}{l}{=\frac{0.025 \times 1609.34}{60} \text { meters per minute }} \\\\ {=\frac{40.2335}{60} \text { meters per minute }}\end{array}

= 0.670 meters per minute.

Now, 0.670 meters ⇒ 1 minute

Then, 1 meter ⇒ n minutes

So, by criss cross method

n x 0.67 = 1 x 1

n = 1.4912

Hence, snail takes 1.5 minutes approximately to travel 1 meter.

3 0
3 years ago
Read 2 more answers
You have been asked to build a scale model of your school out of toothpicks imagine your school is 30ft tall. Your scale is 1 ft
Valentin [98]
The height of your scale model will be 37.8cm.
1.26 x 30
6 0
2 years ago
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