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Ksivusya [100]
3 years ago
13

Write an inequality for the sentence: twice a number, decreased by the quotient of that number and 2, is at least 12.

Mathematics
2 answers:
olchik [2.2K]3 years ago
6 0
2x-(2/X+2)>12. I hope this helps :)
nekit [7.7K]3 years ago
5 0
We are asked to write a certain equation. Your first task is to read the statement thoroughly. If you've notice, the statement mentioned "a number". Let's assign x to be the number. First statment is twice a number (2x). Then, decreased by the quotient of that number and 2 (-x/2). Lastly, the statement at least 12 is written as >12. 

2x - (x/2) >12
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In ΔVWX, \text{m}\angle V = (7x-1)^{\circ}m∠V=(7x−1) ∘ , \text{m}\angle W = (4x+16)^{\circ}m∠W=(4x+16) ∘ , and \text{m}\angle X
Anika [276]

Answer:

m∠X= 22°

Step-by-step explanation:

In ΔVWX:

m∠V=(7x−1) ∘

m∠W=(4x+16) ∘ ,

m∠X=(3x−17) ∘ . Find M∠X.

Step 1

We find the variable x

The sum of angles in a triangle is 180°

Hence,

ΔVWX = m∠V + m∠W +m∠X

180° = (7x - 1)° + (4x + 16)° + (3x - 17)°

180° = 7x - 1 + 4x + 16 + 3x - 17

180° = 7x + 4x + 3x - 1 + 16 - 17

180° = 14x -2

Collect like terms

180° + 2 = 14x

182° = 14x

x = 182°/14

x = 13°

Step 2

We find m∠X

m∠X = (3x−17) ∘

x = 13

m∠X = (3 × 13 − 17)°

m∠X = (39 − 17)°

m∠X = 22°

5 0
2 years ago
1. The US Mint has a specification that pennies have a mean weight of 2.5g. From a sample of 37 pennies, the mean weight is foun
Evgesh-ka [11]

Answer:

the pennies does not conform to the US mints specification

Step-by-step explanation:

z = (variate -mean)/ standard deviation

z= 2.5 - 2.4991 / 0.01648 = 0.0546

we are going to check the value of z in the normal distribution table, which is the table bounded by z.

checking for z= 0.0 under 55 gives 0.0219 (value gotten from the table of normal distribution)

we subtract the value of z from 0.5 (1- (0.5+0.0219)) = 0.4781 > 0.05claim

since 0.4781 > 0.05claim, therefore, the pennies does not conform to the US mints specification

the claim state a 5% significance level whereas the calculated significance level is 47.81%. therefore, the claim should be rejected

7 0
3 years ago
Will award brainliest, Please help on question number 5
Advocard [28]
I have only begun my Freshman Year of High School, and therefore I can only answer #2. Assuming they arrived at camp somewhere in the afternoon on the 188th day, take the amount of coffee and create a proportion for ounces of coffee/pound of coffee. Do this for all 27 pounds of coffee, because there are only three pounds left, and divide it by the amount of days the travel took. This method of solving will give you the answer.
6 0
2 years ago
Write 47% as a fraction is simplest form.
Alona [7]

Answer:

47/100

Step-by-step explanation:

47 = 0.47 = 47/100

4 0
2 years ago
Eights rooks are placed randomly on a chess board. What is the probability that none of the rooks can capture any of the other r
lbvjy [14]

Answer:

4.51\times10^{-10}

Step-by-step explanation:

There are only 2 solutions for none of the rooks can capture any of the other rooks: only if they are laid out in either of the 2 diagonal of the chess board

The number of possible combination for the rock to laid out in 8x8 (64 slots) chess board

\frac{64 * 63 * 62 * 61 * 60 * 59 * 58 * 57}{8!} = \frac{1.78\times10^{14}}{40320} = 4426165368 possible combination

So the probability is pretty thin

P = 2 / 4426165368 = 4.51\times10^{-10}

4 0
3 years ago
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