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valina [46]
2 years ago
12

A tank can contain 40 gallons of gas, but it is not completely full. How much gas is in the tank if 6.5% of the tank is empty?

Mathematics
2 answers:
pentagon [3]2 years ago
7 0

Answer:

There is 37.40 gallon of gas in the tank if 6.5% of the tank is empty

Step-by-step explanation:

It is given that 6.5% of tank is empty.

Thus, the percentage of tank which is full is given by

100 -6.5\\= 93.5%

It is also given that the tank contains 40gallons of gas. This implies that 93.5% of tank which is full is equivalent to 40gallons of gas

\frac{93.5}{100} * 40\\= 37.40 gallon

There is 37.40 gallon of gas in the tank if 6.5% of the tank is empty

Katena32 [7]2 years ago
6 0
37.4 Gallons of gas should be your answer! Hope i helped!
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jasenka [17]

When you think of the situation as a whole, you may notice that the lines in the problem actually form a triangle. First, the man driving 10 miles east forms a bottom leg of the triangle 10 units long. When he drives the 2 miles north, he adds another leg of 2 units length. When the place of work is connected to the starting position through a line, a third and final line is drawn which creates the triangle.


So, how can we find the direct distance from his place of work to his home? We can use the Pythagorean Theorem (a^2 + b^2 = c^2, where a and b are the lengths of the legs of the triangle and c is the length of the hypotenuse). We know that the lengths of the legs are 10 and 2, which we can use in the formula, as shown below:

(10)^2 + (2)^2 = c^2


Now, we can solve this equation for c:

\sqrt{(10)^2 + (2)^2} = c

\sqrt{104} = c \approx 10.2


The distance would be √104 miles, or approximately 10.2 miles.

4 0
2 years ago
Bonita is testing prototype model rocket engines. To be considered a successful launch, the rocket must reach a height of at lea
lbvjy [14]

Answer:

(0, 33)   : Yes

(4.8,  30.5)  : Yes


Step-by-step explanation:

height of at least 24 ft :  y >= 24

horizontal distance of no more than 10 ft. : 0 <= x <= 10

The vertical height must be at least three times as high as the horizontal distance. No rocket should go higher than 33 ft.:

y >=  3x and y <= 33

So Constraints:

24 <= y <= 33

y >= 3x

0 <= x <= 10

Now check to see if those coordinate points meet all the constraints

(0, 33)   : Yes

(4.8, 30.5)  : Yes

(9, 26)  : No (because 26 is less than (3 * 9) = 27)

(4, 36) : No (because 36 > 33,  must be 24 <= y <= 33)

(2, 22): No (because 22 <24,  must be 24 <= y <= 33)

5 0
2 years ago
Dylan has two cubes of iron. The larger cube has twice the mass of the smaller cube. He measures the smaller cube. It's mass is
Lelu [443]
Density \rho
is given by \rho = frac{m}{V}
where m is the mass of the object
V is the Volume of the object

let m1 be the mass of the smaller cube
let m2 be the mass of the larger cube

you know that the larger cube has twice the mass of the smaller cube
or m2=2*m1

so apply this information into the density equation and you can determine the volume of the larger cube
6 0
2 years ago
How do I solve w(x)=4x 5; find w(-8)?
Andrei [34K]
Plug -8 in for x: 4(-8) + 5 solve: -32 + 5 -27
4 0
2 years ago
Olive oil is a cooking Ingredient. The density of olive oil is 0.92 grams per cubic centimeter. An olive farmer wants to sell bo
sveticcg [70]

Answer: The volume of container that holds 460 grams of oil is 500 cm³.

Step-by-step explanation:

Density of olive oil is 0.92 grams/(centimetre )^3

An olive farmer wants to sell bottles that contain  460 grams of oil.

Therefore

Mass of oil  = 460 grams

As we know

\text {Density}= \dfrac{\text{Mass}}{\text{Volume}} \\\\\Rightarrow 0.92= \dfrac{460}{\text{Volume}} \\\\\Rightarrow \text{Volume}= \dfrac{460}{0.92} = 500

Hence, the volume of container that holds 460 grams of oil is 500 cm³.

7 0
2 years ago
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