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Jobisdone [24]
3 years ago
14

Jamal filled his gas tank and then use 7/16 of the tank for traveling to visit his grandfather. He then used 1/3 of the remainin

g gas in the tank to run errands around town. What fraction of the tank is filled with gasoline
Mathematics
1 answer:
alisha [4.7K]3 years ago
8 0

Answer:

The fraction of the tank is filled with gasoline is \frac{3}{8}.

Step-by-step explanation:

Consider the provided information.

Jamal filled his gas tank and then use 7/16 of the tank for traveling to visit his grandfather.

After his first traveling the amount of gas left can be calculated as:

1-\frac{7}{16}

\frac{16-7}{16}

\frac{9}{16}

He then used 1/3 of the remaining gas in the tank to run around town.

That means he left with 2/3 of gas.

\frac{9}{16}\times \frac{2}{3}

\frac{3}{8}

Hence, the fraction of the tank is filled with gasoline is \frac{3}{8}.

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the area of a square garden is 267 ft^2 what is the side length of each side? round your answer to the nearest hundredth place.
aksik [14]

Answer:

  • Side Length=16.34 ft
  • No

Step-by-step explanation:

The area of the square garden=267$ ft^2

Area of a Square of Side length s =s^2

Therefore:

s^2=267$ ft^2\\$Take the square root of both sides\\s=\sqrt{267} \\$Side Lenght, s=16.34 ft (to the nearest hundredth place)

<u>Perimeter</u>

Perimeter of a Square of Side length s=4s

Therefore, the perimeter of the garden =4*16.34=65.36 ft

Since 65 ft < 65.36 ft

Therefore, if you had 65 ft of fencing, it will not be enough to go around and cover the garden.

5 0
3 years ago
Which value of y would make O P is parallel to L N?
alina1380 [7]

Answer:

36 units

If OP is parallel to LN then we have, Substituting the respective values we obtain, Therefore option D is correct, y=36 units make OP||LN.

6 0
3 years ago
Cole said that 555 rounded to the nearest ten is 600. What is Cole's error? explain.
sattari [20]
He rounded it to the nearest hundred, not ten. Ten would be 560.

Hope this helps!
4 0
3 years ago
Read 2 more answers
Please show step by step of working out the value of r for which is A minimum and calculate the minimum surface area of the cont
Genrish500 [490]

Answer:

A = 59.63cm^2

Step-by-step explanation:

You have the following function for the surface area of the container:

A=\pi r^2+\frac{100}{r}                (1)

where r is the radius of the cross sectional area of the container.

In order to find the minimum surface are you first calculate the derivative of A respect to r, to find the value of r that makes the surface area a minimum.

\frac{dA}{dr}=\frac{d}{dr}[\pi r^2+\frac{100}{r}]\\\\\frac{dA}{dr}=2\pi r-\frac{100}{r^2}         (2)

Next, you equal the expression (2) to zero and solve for r:

2\pi r-\frac{100}{r^2}=0\\\\2\pi r=\frac{100}{r^2}\\\\r^3=\frac{50}{\pi}\\\\r=(\frac{50}{\pi})^{1/3}

Finally, you replace the previous result in the equation (1):

A=\pi (\frac{50}{\pi})^{2/3}+\frac{100}{(\frac{50}{\pi})^{1/3}}}

A=59.63

The minimum total surface area is 59.63cm^2

3 0
4 years ago
Of the 30 girls who tried out for lacrosse team at euclid middle school ,12 were selected .of the 40 boys who tried out 16 were
ELEN [110]
Ratio of students selected on the team / the number of students trying out...

boys : 
on the team -- 16
trying out -- 40
ratio is : 16/40 which reduces to 2/5

girls :
on the team -- 12
trying out -- 30
ratio is : 12/30 which reduces to 2/5

so yes, the ratios are the same because in both boys and girls, the number of players selected was 2/5 of the total who tried out.
4 0
3 years ago
Read 2 more answers
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