Write the subtraction problem below as an equation

Luis hizo un viaje en el coche en el cual consumio 20 l de gasolina. el trayecto lo hizo en dos etapas en la primera consumio 2/

algol13

Answer: $24\ liters$

Step-by-step explanation:

Let be "x" the amount of gasoline in liters that the car's tank had at the beginning of the trip.

1. In the first part of the trip the amount of gasoline the car used can be expressed as:

$\frac{2}{3}x$

2. After the first part of the trip, the remaining was:

$x-\frac{2}{3}x=\frac{1}{3}x$

3. In the second part of the trip the car used $\frac{1}{2}$ of the remaining. This is:

$(\frac{1}{3}x)(\frac{1}{2})=\frac{1}{6}x$

4. The total amount ot gasoline used in this trip was 20 liters.

5. Then, with this information, you can write the following equation:

$\frac{2}{3}x+\frac{1}{6}x=20$

6. Finally, you must solve for "x" in order to find its value. This is:

$\frac{2}{3}x+\frac{1}{6}x=20\\\\\frac{5}{6}x=20\\\\5x=120\\\\x=24$

3 0

3 years ago

3) John Wayne died of cancer. In 1955, he was in Utah shooting the film The Conqueror. Across the state line, in Nevada, the U.S

-Dominant- [34]

Answer:

20.9 %, it is more than the national population 13.6%.

Step-by-step explanation:

Total number of persons = 220

died number of persons = 46

The percentage of died persons

$\frac{46}{220}\times 100 \\\\= 20.9 %$

So, it is more than the national population of 13.6 %.

6 0

3 years ago

What is the solution to the system of equations below?

Burka [1]

Answer:

(x, y) = (-4, -15)

Step-by-step explanation:

You can equate the expressions for y and solve for x.

3/4x -12 = -4x -31

Adding 4x+12 gives ...

(4 3/4)x = -19

(19/4)x = -19

Multiplying by 4/19, we find ...

x = -4

Substituting that into the first equation, we can find y:

y = (3/4)(-4) -12 = -15

The solution is (x, y) = (-4, -15).

3 0

3 years ago

Pythagorean Theorem Worksheet. Round Each Number To The Nearest Tenth.

dybincka [34]

Answer:

1. 10

2. 5

3. 10

4. 8

Step-by-step explanation:

1. 8²+6² = 100

The square root of 100 = 10

2. 3²+4² = 25

The square root of 25 = 5

3. 26²-24²=100

The square root of 100 = 10

4. 10²-6² = 64

The square root of 64 = 8

4 0

3 years ago

Look at the rectangle and the square:

Anettt [7]

Ada is <u>incorrect</u>, as the length of diagonal SQ is not two times the length of diagonal OM. The theorem used is the Pythagoras Theorem.

For Rectangle PQRS:-

By Pythagoras Theorem, in right triangle PQS,

SQ² = PQ² + PS²,

or, SQ² = 8² + 16² sq. inches,

or, SQ² = 64 + 256 sq. inches,

or, SQ = √320 sq. inches,

or, SQ = 8√5 inches.

Thus, the length of diagonal SQ, of rectangle PQRS is 8√5 inches.

For Square LMNO:-

By Pythagoras Theorem, in right triangle LMO,

OM² = LM² + LO²,

or, OM² = 8² + 8² sq. inches,

or, OM² = 64 + 64 sq. inches,

or, OM = √128 sq. inches,

or, OM = 8√2 inches.

Thus, the length of diagonal OM, of square LMNO is 8√2 inches.

We know that 2*OM ≠ SQ, as 2*8√2 ≈ 8√5.

Thus, Ada is <u>incorrect</u>, as the length of diagonal SQ is not two times the length of diagonal OM. The theorem used is the Pythagoras Theorem.

Learn more about the diagonal of square and rectangle at

brainly.com/question/22078692

#SPJ4

6 0

2 years ago