Find the simplified form of the expression. Give your answer in scientific notation.

Moby sold half his toy car collection, and then bought 12 more cars the next day. He now has 48 toy cars. How many cars did he h

castortr0y [4]

Answer: 72 cars.

Step-by-step explanation:

Let be "x" the number of toys that Moby had to start with.

According to the information given in the exercise, Moby sold half his toy car collection. This can be represented with the following expression:

$\frac{1}{2}x$

Then he bought 12 more cars, giving a total amount of 48 toy cars.

Therefore, the equation that represents this situation is the equation shown below:

$x-\frac{1}{2}x+12=48$

Now you must solve for "x" in order to find its value.

You get that this is:

$\frac{1}{2}x+12=48\\\\\frac{1}{2}x=48-12\\\\\frac{1}{2}x=36\\\\x=(36)(2)\\\\x=72$

7 0

3 years ago

Kayla and Camille, both teachers, are adding books to their class libraries. Kayla’s classroom started out with a collection of

Airida [17]

34
because, 34 = 14 + (10 x 2)
and 34 = 24 + (10 x 1)

4 0

3 years ago

Maria has added 2 liters of pure alcohol to 8 liters of a 48% alcohol solution. What is the alcohol concentration of the resulti

ss7ja [257]

Answer:

The alcohol concentration of the resulting solution is 58.4%

Step-by-step explanation:

- At first we must to find the quantity of pure alcohol in the 8 liters

∵ The alcohol concentration is 48% in 8 liters

∴ The quantity of pure alcoholic = $\frac{48}{100}*8=3.84$ liters

- She added 2 liters pure alcohol to the solution that means the solution

increased by 2 liters and alcohol quantity increased by 2 liters

∵ She added 2 liters pure alcohol

∴ The quantity of pure alcohol = 2 + 3.84 = 5.84 liters

∴ The resulting solution = 2 + 8 = 10 liters

- Now we need to find the concentration of alcohol in the resulting

solution

∵ The quantity of pure alcohol = 5.84 liters

∵ The resulting solution = 10 liters

∴ The concentrate of alcohol = $\frac{5.84}{10}*100$ % = 58.4%

The alcohol concentration of the resulting solution is 58.4%

5 0

3 years ago

Read 2 more answers

What is the answer x+5>23

olga2289 [7]

18<x is the answer you are looking for. Glad to help.

3 0

3 years ago

The length of segment EF is 8 units, the length of segment ED is 10 units, and the length of segment EA is 13.33 units. Find the

ivanzaharov [21]

Answer:

5.33 unit

Step-by-step explanation:

logically FA = EA - EF = 13.33-8 = 5.33 units

Since, E, F and A all lie on the same line EA . The information ED= units is redundant. Therefore we can say that FA= 5.33 unit

5 0

3 years ago