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2 years ago

In simplest form, what fraction of the figure is shaded?

Mathematics

1 answer:

yan [13]2 years ago

4 0

5/6, 1/3 hope this helps :))

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A car starts with a dull tank of gas. After driving around 5he city, 1/7 of the gas has been used. With the rest of the gas in t

Sati [7]

Answer:

$\frac{2}{7}$

Step-by-step explanation:

Given:

A car starts with a dull tank of gas

1/7 of the gas has been used around the city.

With the rest of the gas in the car, the car can travel to and from Ottawa three times.

Question asked:

What fractions of a tank of gas does each complete trip to Ottawa use?

Solution:

Fuel used around the city = $\frac{1}{7}$

Remaining fuel after driving around the city = 1 - $\frac{1}{7}$

= $\frac{7 - 1}{7} = \frac{6}{7}$

According to question:

As from the rest of the gas in the car that is $\frac{6}{7}$ , the car can complete 3 trip to Ottawa which means,

By unitary method:

The car can complete 3 trip by using = $\frac{6}{7}$ tank of gas.

The car can complete 1 trip by using = $\frac{6}{7} \div 3$

= $\frac{6}{7} \times\frac{1}{3}$

= $\frac{6}{21}$

= $\frac{2}{7}$ tank of gas

Thus, $\frac{2}{7}$ tank of gas used for each complete trip to Ottawa.

5 0

3 years ago

What are the ratios and is this table proportional

Natali5045456 [20]

Answer:

45/1=45

90/2=45

135/3=45

180/4=45

225/5=45

Step-by-step explanation:

7 0

2 years ago

Which are the solutions of x² = 19x + 12

Sever21 [200]

Answer:

$\{x=\frac{19-\sqrt{409} }{2}\ , \ x=\frac{19+\sqrt{409} }{2}\}$

Step-by-step explanation:

x² = 19x + 12

⇔ x² - 19x - 12 = 0

Calculating the discriminant :

b² - 4ac = (-19)² - 4×1×(-12) = 409

The discriminant is positive ,then the equation has two solutions.

$x=\frac{19-\sqrt{409} }{2} \ \ or\ \ x=\frac{19+\sqrt{409} }{2}$

4 0

1 year ago

WILL GIVE BRAINLIEST! PLEASE HELP I'm doing an exam!! A photograph is reduced by a scale factor of 3/4. If the original length o

Harlamova29_29 [7]

13.5 inches, because if you add 4.5x4 or 9x2 it equals 18, then you just subtract 4.5 from 18 and it’s 13.5

4 0

3 years ago

7th grade math! Please help! This is almost half of my grade!

stealth61 [152]

You would add the area of the square with the area of the triangle.

Square: length x width
In your case, it would be 100in²

Triangle: length x height x 1/2 (or length x width divided by 2)
16-10 would be 6 (height) 10-6= 4 (length)
6 x 4 x .5 = 12in²

100in²+12in²=112in²

The area is 112in²

6 0

2 years ago