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Scrat [10]
4 years ago
5

Jose's gas tank is 3/8 full. After he buys 6 gallons of gas, it is 3/4 full. How many gallons can Jose's tank hold?

Mathematics
1 answer:
Alika [10]4 years ago
7 0

Answer:

16 gallons

Step-by-step explanation:

3/8*x+6=3/4*x

3x/8+6=6x/8

6=3x/8

2=x/8

16=x

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4 years ago
Read 2 more answers
Calculate the perimeter of a square whose diagonal measures 29 dm.
mojhsa [17]

Answer:

4\sqrt{420.5} dm

Step-by-step explanation:

A square's diagonal cuts across the square, making two right triangles where the diagonal is the hypotenuse.

We have a right triangle with a hypotenuse of 29, and two legs that are the same length (because they are sides of a square)

So, we can use pythagoreans theorem to find the lengths of the legs, or sides of the square.

a^2 + a^2 = 29^2

2a^2 = 841

a^2 = 420.5\\

a = \sqrt{420.5}

Now that we have a side length of \sqrt{420.5}, we just have to multiply that by 4, since a square has 4 sides. This leaves us with a final perimeter of:

4\sqrt{420.5}

8 0
4 years ago
PLEASE HELP IM BEGGING Ira B. Scholar, that bizarre math teacher, put the figure at right on a recent test and said,
rewona [7]

Answer:

The perimeter is the distance all the way around the outside of a 2D shape.  To calculate the perimeter, sum the lengths of all the sides.

Therefore, perimeter of the triangle = (2x - 8) + (2x + 5) + (30 - 3x)

Collect like terms:  2x + 2x - 3x - 8 + 5 + 30

Combine like terms:  x + 27

Therefore, perimeter of triangle = x + 27

We are told that the perimeter is 25:

x + 27 = 25

Subtract 27 from both sides: x = -2

If x = -2, then the side with equation 2x - 8 = (2 x -2) - 8 = -12

A length cannot be negative, therefore the perimeter cannot equal 25.

7 0
2 years ago
As a person cycling increases speed, the rate of calorie burned, distance traveled, and energy expended also increase. Which of
ella [17]

Answer:

c because the distance is important

7 0
3 years ago
Mark is making a decoration for a rally, using a string of triangular strips. Each strip is an isosceles triangle when flattened
jeyben [28]

Solution:

Consider the Given Isosceles Triangle

Considering the Possibilities

Case 1. When two equal angles are of 70°

 Let the third angle be x.

Keeping in mind , that sum of Interior angles of Triangle is 180°.

70° + 70° + x= 180°

140° +x= 180°

x= 180°- 140°

x= 40°

Case 2:

When an angle measures 70°, and two equal angles measure x°.

Keeping the same property of triangle in mind, that is sum of interior angles of triangle is 180°.

70° + x° + x° = 180°

⇒  70° + 2 x° = 180°

⇒ 2 x° = 180° -  70°

⇒ 2 x° = 110°

Dividing both sides by 2, we get

x= 55°


5 0
3 years ago
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