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3 years ago

One third of the opposite of a number is less than 12. Write and inequality.

1 answer:

3 0

X= a number

The opposite of a number is its negative opposite. It's the additive inverses of a number. The additive inverse of 4 is -4. It will always equal zero when added together.

Inequality:
1/3(-x) < 12

Hope this helps! :)

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The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the bones from a mastodon had los

Arisa [49]

Therefore, the bones were 6612.5 years old at the time they were discovered.

Given that the radioactive element carbon-14 has a half-life of 5750 years, and a scientist determined that the bones from a mastodon had lost 57.5% of their carbon-14, to determine how old were the bones at the time they were discovered, the following calculation must be made:

50 = 5750
100 = 11500
57.5 = X
57.5 x 11500 / 100 = X
6612.5 = X

Therefore, the bones were 6612.5 years old at the time they were discovered.

Learn more about half life in brainly.com/question/24710827

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2 years ago

christian has a diecast metal car that is a scale model of an actual car. If the actual length of the car is 10 feet and 6 inche

Brilliant_brown [7]

So.... You would get your problem out of the numbers 10,6,7 you would multiply and get 10*6*7=420 so 420 would be the answer if that's what your looking for!!
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3 years ago

❗️❗️❗️Find the length of side x in simplest radical form with a rational denominator.❗️❗️❗️

tiny-mole [99]

Answer:

$x=\frac{\sqrt{14} }{2}$

Step-by-step explanation:

Notice that you are given an isosceles right-angle triangle to solve, since each of its two acute angles measures $45^o$ . Then such means that the sides opposite to these acute angles (the so called "legs" of this right angle triangle) must also be of the same length (x).

We can then use the Pythagorean theorem that relates the square of the hypotenuse to the addition of the squares of the triangles legs:

$(\sqrt{7})^2=x^2+x^2\\7=2\,x^2\\x^2=\frac{7}{2} \\x=+/-\sqrt{\frac{7}{2}} \\x=+/-\frac{\sqrt{14} }{2}$

We use just the positive root, since we are looking for an actual length. then, the requested side is:

$x=\frac{\sqrt{14} }{2}$

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2 years ago

Carlos just took a 40 question math test. He scored a 75%. How many questions did he get correct?

sergiy2304 [10]

Answer:

He missed 10 questions and got 30 right

Step-by-step explanation:

So we could do 0.75 times 40 and we would get 30

So he got 30 questions right which isn't too bad

8 0

2 years ago

if on a scale drawing 35 feet are represented by 25 inches, then a scale of 1/8 inch represents how many feet?

kirill115 [55]

Answer:

7/40 feet

Step-by-step explanation:

Solve using proportions:

$\frac{25in}{35ft} =\frac{1/8 in}{?ft}$

Find the scale factor by dividing the numerators 25 by 1/8.

25 ÷ 1/8 = 200 This is the common ratio

To get from the top left number to the top right number, you divide 25 by 200.

To get from the bottom left number to the bottom right number, you divide 35 by 200.

35 ÷ 200 = 0.175

1/8 of an inch represents 0.175 feet.

To find 0.175 in fraction form, reduce 35/200 to its lowest terms.

35/200 = 7/40

1/8 of an inch represents 7/40 feet.

8 0

3 years ago