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taurus [48]
3 years ago
11

If you subtract 12 from my number and multiply the difference by -3, the result is -54.

Mathematics
1 answer:
worty [1.4K]3 years ago
4 0

Answer:

the answer is 30

Step-by-step explanation:

Let the number be x

- 3 (x - 12) = - 54

-3x + 36 = -54

-3x = -54 - 36

-3x = -90

x = -90/-3

x = 30

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Find the 52nd number in the sequence<br> 9, 16, 23....
BartSMP [9]

Answer:

366

starts at 9, jumps by 7 each time.

so it's 9 plus 7 times the number if remaining jumps.

51x7= 357

add the origiinal 9, and you get 366

3 0
3 years ago
5(1.07)^m=9.19 <br><br> Solve for m
tatiyna

The answer is 8.99 in decimal form

In exact for it  In (1.838)/ In (1.07)

I hope one of them helps

                       

7 0
3 years ago
Un radar de l'armée américaine réussit à détecter tout ce qui se trouve à un rayon représenté
WARRIOR [948]

Répondre:

r <27

Explication étape par étape:

Compte tenu de l'inégalité 5r + 9> 10r - 126

Nous devons trouver l'ensemble de solutions

5r + 9> 10r - 126

Ajouter 126 des deux côtés

5r + 9 + 126> 10r - 126 + 126

5r + 135> 10r

5r-10r> -135

-5r> -135

Divisez les deux côtés par -5 (notez que le signe changera)

-5r / -6 <-135 / -5

r <27

Par conséquent, les ensembles de solutions sont des valeurs inférieures à 27

8 0
3 years ago
Let u= &lt;4,3&gt;. Find the unit vector in the direction of u, and write your answer in component form.
aksik [14]
Take the vector u = <ux, uy> = <4, 3>.

Find the magnitude of u:

||u|| = sqrt[ (ux)^2 + (uy)^2]

||u|| = sqrt[ 4^2 + 3^2 ]

||u|| = sqrt[ 16 + 9 ]

||u|| = sqrt[ 25 ]

||u|| = 5

To find the unit vector in the direction of u, and also with the same sign, just divide each coordinate of u by ||u||. So the vector you are looking for is

u/||u||

u * (1/||u||)

= <4, 3> * (1/5)

= <4/5, 3/5>

and there it is.

Writing it in component form:

= (4/5) * i + (3/5) * j

I hope this helps. =)
3 0
3 years ago
The business college computing center wants to determine the proportion of business students who have personal computers (PC's)
Anastasy [175]

Answer:

Option A) reject null hypothesis if z is greater than 1.645

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 250

p = 30% = 0.3

Alpha, α = 0.05

Number of women belonging to union , x = 75

First, we design the null and the alternate hypothesis  

H_{0}: p = 0.3\\H_A: p > 0.3

This is a one-tailed(right) test.

Rejection Region:

z_{critical} \text{ at 0.05 level of significance } = 1.645

So, the rejection region will be

z > 1.64

That is we will reject the null hypothesis if the calculated z-statistic is greater than 1.645

Option A) reject null hypothesis if z is greater than 1.645

6 0
3 years ago
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