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joja [24]
3 years ago
13

1/3 of a number is 12 less than the number itself

Mathematics
1 answer:
natulia [17]3 years ago
5 0
Let "x" be a substitute for "a number"

1/3(x)=x-12    Multiply by 3
x=3x-36         Get n onto the same side of the equation
2x=36            Divide by 2
x=18

That's your answer.
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In​ 2012, a health insurance plan for a​ 35-year-old and his or her spouse costs ​$301 per month. That rate increased to ​$430 p
katrin2010 [14]

Answer: See explanation

Step-by-step explanation:

Let the cost for insuring the applicant = a.

Let the cost for insuring the spouse = b

Let the cost for insuring the first child= c

Let the cost for insuring the second child = d

A 35-year-old health insurance plan and that of his or her spouse costs ​$301 per month. This means that:

a + b = $301.

That rate increased to ​$430 per month if a child were included. This means the cost of a child will be:

= $430 - $301

= $129

The rate increased to $538 per month if two children were included. This means the cost for the second child will be:

= $538 - $430

= $108

The rate dropped to ​$269 per month for just the applicant and one child. His will be the cost of the applicant and a single child. This can be written as:

a + $129 = $269

a = $269 - $129

a = $140

Since a + b = $301

$140 + b = $301

b = $301 - $140

b = $161

Applicant = $140

The spouse = $161

The first​ child = $129

The second child = $108

3 0
2 years ago
Match each operation involving f(x) and g(x) to its answer
eimsori [14]

Answer:

(g-f) (-1)= sqrt(15)

(f/g)(-1)= 0

(g+f)(2)=sqrt(3)-3

(g*f)(2)=-3*sqrt(3)

Step-by-step explanation:

We have to eval the expressions given in the point indicated.

Lets start by the first equation

(g-f)(-1)= g(-1) - f(-1)= \sqrt{11-4*(-1)}    - 1 +(-1)^{2} = \sqrt{15}

Now, lest continue with the others

(f/g)(-1)= f(-1)/g(-1)= (1-1)/sqrt(15)=0

(g+f)(2)=g(2)+f(2)=sqrt(3)-3

(g*f)(2)=g(2)*f(2)=sqrt(3)*(-3)=-3sqrt(3)

3 0
3 years ago
Read 2 more answers
2(3x – 1) = –6x – 2 can someone help
Gnom [1K]

Let's solve your equation step-by-step.

2(3x−1)=−6x−2

Step 1: Simplify both sides of the equation.

2(3x−1)=−6x−2

(2)(3x)+(2)(−1)=−6x+−2(Distribute)

6x+−2=−6x+−2

6x−2=−6x−2

Step 2: Add 6x to both sides.

6x−2+6x=−6x−2+6x

12x−2=−2

Step 3: Add 2 to both sides.

12x−2+2=−2+2

12x=0

Step 4: Divide both sides by 12.

12x/12= 0/12

x=0

Answer:

x=0

HOPE THIS HELPS!!! :)

5 0
3 years ago
Give the rule for the translation if the coordinates of the preimage are A(2,-4) B(5,-4) C(5,-2) D(4,-2) E(4,-1) F(3,-1) G(3,-2)
trasher [3.6K]

Answer:

  (x, y) ⇒ (x -7, y)

Step-by-step explanation:

The y-coordinates are unchanged. Each x-coordinate of the image is 7 units less than the corresponding pre-image coordinate. As a rule, this is ...

  (x, y) ⇒ (x -7, y)

6 0
2 years ago
Read 2 more answers
IN A SHOP THE NORMAL PRICE OF A JACKET IS $60 . THE COST OF THE JACKET IN A SALE IS 3 BY 4 OF THE NORMAL PRICE
kramer

Answer:

$45

Step-by-step explanation:

3/4×60= 45

cost of jacket in sale: $45

hope it helps!

5 0
2 years ago
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