All categories

3 years ago

1/4 + 1/2 + x = −3/4

Mathematics

2 answers:

Ostrovityanka [42]3 years ago

7 0

1/4 + 1/2 + x = −3/4

get a common denominator 1/4

1/4 +2/4 +x = -3/4

combine like terms

3/4 +x =-3/4

subtract 3/4 from each side

x = -3/4 -3/4

x = -6/4

divide top and bottom by 2

x = -3/2

x = -1 1/2

Answer : x = -1 1/2

Pani-rosa [81]3 years ago

5 0

Answer:

x = -7/4

Step-by-step explanation:

Identify the LCD (it is 4) and mult. all terms of the given equation by it:

1 + 2 + 4x = -3

Then: 4x = -3 -2 -1, or 4x = -7. Therefore, x = -7/4.

You might be interested in

Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question.

scoray [572]

Answer:

8(15-m)

Step-by-step explanation:

just took the test

4 0

3 years ago

Find the distance between the points (4, 3.5) and (4, -1.2) in the coordinate plane.

Alik [6]

Answer:

4.7

Step-by-step explanation:

3 0

2 years ago

There are six apples, five oranges, and one pear in John's basket. His friend takes three pieces of fruit at random without r

Lera25 [3.4K]

Answer:

<h2>There is a 9% of chances that all three selections are apples.</h2>

Step-by-step explanation:

We know that there are 6 apples, 5 oranges and 1 pear, which gives a total of 12 fruits, that's total number of possible outcomes, the denominator of the simple probability.

Now, his friend selects three fruits with three trials without replacement, that means we need to find the probability of each even and then multiply them, because they are independent events.

$P=\frac{6}{12} \times \frac{5}{11} \times \frac{4}{10}=\frac{120}{1320} \approx 0.09$

Notice that we calculated the total probability using the same expression. The important thing is that you need to decrease the number of events and the total number of outcomes at each selection, because after his friends picks one apple, he doesn't put it back in the bag.

Therefore, there is a 9% of chances that all three selections are apples.

(We multiplies the number by 100 to express it in percentage)

4 0

3 years ago

(Tot

Andrej [43]

Answer:

0,07 0,7 0,704 0,74 0,744

Step-by-step explanation:

When u make it 100 times bigger, its clear.

7 70 704 740 744

4 0

3 years ago

Sara has a stack of 8 plates each plate is 0.5 inches and she is trying to wrap them as a gift the largest plate has a diameter

levacccp [35]

Answer: No her plates will not fit in the box

Step-by-step explanation: Each plate is 0.5 inches tall; therefore, the stack of 8 plates will have a height of .

Also, the diameter of the largest plate is 10 inches or has a radius of 5 inches, which matches the radius of the cylindrical box; therefore, we know that the stack of plates can fit into the base area of the cylindrical box.

What we want to figure out now is the height of the cylindrical box to see if it is greater than or equal to 4 inches—the height of the stack of plates.

The volume of a cylinder is , and since for our cylindrical box the volume is 150 cubic inches; therefore,

putting in and solving for height we get

which is not greater than 4 inches, which means the plates will not fit into the box since the height of the stack is greater than the height of the box.

7 0

3 years ago