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aev [14]
3 years ago
7

One less than half a number is 12. What is the number

Mathematics
1 answer:
olga_2 [115]3 years ago
6 0
To find this, turn the word question into an equation.
"One less than" means - 1, which is 1 being subtracted from something.
"half a number" means 1/2x, since 1/2 is half and x is unknown.
"is 12" means = 12, which is something equals 12.
Putting this in order would be 1/2x, then - 1, then = 12.
As an equation, this is 1/2x - 1 = 12.
So the equation is 1/2x - 1 = 12

Now you must find the number by solving this equation.
1/2x - 1 = 12
First, add 1 to both sides.
12 + 1 = 13
1/2x = 13
Now multiply both sides by 2.
This way, x will be isolated since 1/2x • 2 = 1x, and 1x = x.
13 • 2 = 26
x = 26
The number is 26.
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What is the probability that a person chosen at random from this group has brown or green eyes? startfraction 3 over 25 endfract
lianna [129]

Using it's concept, it is found that the probability that a person chosen at random from this group has brown or green eyes is of \frac{13}{25}.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

Researching the problem on the internet, it is found that the group has 20 + 6 + 17 + 7 = 50 people, of which 20 + 6 = 26 have brown or green eyes, hence the probability is given by:

p = 26/50 = 13/25.

More can be learned about probabilities at brainly.com/question/14398287

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7 0
2 years ago
The roof of the building shown below has a span of 48 feet. The rafters upon which the roof is laid are 30 feet long, including
anyanavicka [17]

Solution :

Given :

Span of the roof = 48 feet

Length of the rafter = 30 feet (including the 4 feet overhung)

So, for the 30 feet long rafter, 26 feet will be rafter length from the high point of the roof to the edge of the roof and 4 feet will be the roof overhung.

Therefore, the horizontal span per rafter is

$=\frac{48}{2}$

= 24 feet

a). So the rise of the roof is $= \sqrt{(26)^2-(24)^2}$  

                                         = 10 feet

b). Pinch of the roof is $=\frac{\text{rise}}{\text{run}}$

                                     $=\frac{10}{24}$

                                     $=\frac{5}{12}$

c). The percent of the roof used as overhung is

     $=\frac{4+4}{60}\times 100$

     $=\frac{80}{6}$

       = 13.33 %

8 0
3 years ago
In interval notation signs use what grouping symbol?
Vesnalui [34]

Answer:

either parentheses or brackets

Step-by-step explanation:

(x,y) means that the number is not included in interval notation

[x,y] means that the number is included in interval notation

3 0
3 years ago
Maria is draining her swimming pool. The depth of the water in the pool changes by −3/4 foot every hour.The depth of the water w
Alex17521 [72]

Answer: 1 1/4feet

Step-by-step explanation:

From the question, we are informed that the depth of the water in the pool changes by −3/4 foot every hour and that the depth of the water was 5 feet when she started draining.

The depth of the water after 5 hours will be:

= 5 - 3/4(5)

= 5 - 15/4

= 5 - 3 3/4

= 1 1/4 feet

7 0
3 years ago
Please help on this
Gennadij [26K]

Answer:

5.025m

Step-by-step explanation:

The clothesline also creates an upside-down triangle with two sides being 5m, 0.5m, and the hypotenuse being the clothesline.

We can use the pythagorean theorem to find the length of the clothesline.

5 squared +.5 squared= the length of the clothesline squared

25+.25= the square root of 25.25

= 5.025

7 0
2 years ago
Read 2 more answers
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