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vlada-n [284]
3 years ago
13

One number is 20 greater than another. If the lesser number is subtracted from three times the greater number, the difference is

84. Find the numbers. ​
Mathematics
1 answer:
RoseWind [281]3 years ago
6 0

Answer:

<u>The numbers are 12 and 32.</u>

Step-by-step explanation:

x = One number

x - 20 = Another number

3x - (x - 20) = 84 (If the lesser number is subtracted from three times the greater number, the difference is 84)

Let's solve for x, this way:

3x - (x - 20) = 84

3x - x + 20 = 84

2x = 84 - 20 (Subtracting 20 at both sides)

2x = 64

x = 64/2

<u>x = 32 ⇒ x - 20 = 12</u>

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Solve this problem please <br> x/3+6-2x=-6
Nikolay [14]

Answer:

36/5

Step-by-step explanation:

x/3 + 6 -2x = -6

multiply the whole equation by 3 to get rid of the denominator of the first x term.

x+18-6x = -18

move x terms to one side and numerical terms to the other, subtract 18 from both sides in this case

x+18-6x-18=-18-18

x-6x = -36

simplify

-5x = -36

divide both sides by -5 to isolate x

x = -36/-5

=36/5

3 0
3 years ago
A population of 1200 rabbits increases by 2.5% each year. At the end of 5 years, there will be approximately 1,358 rabbits in th
lubasha [3.4K]

Answer: y= 1200 (1.025)^t

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:

A = P (1 + r) t  

Where:

p = original population

r = growing rate (decimal form)

t= years

A = population after t years

Replacing with the values given:

1200= 1200 (1+ 2.5/100)^5

1200= 1200 (1+ 0.025)^5

1200= 1200 (1.025)^5

For the number of rabbits, y, at the end of t years

y= 1200 (1.025)^t

Feel free to ask for more if needed or if you did not understand something.

4 0
3 years ago
What is the prime factorization of 90? 2×2×3×5 2×5×9 2×3×3×5 2×3×5
Firdavs [7]
It’s 2x3x3x5 because 9 isn’t prime
3 0
3 years ago
Read 2 more answers
Find the equation of the line using the point-slope formula. Write all the final equations
vivado [14]

Answer:

y=\frac{1}{2}x+\frac{5}{2}

Step-by-step explanation:

We are going to find the slope by lining up the points vertically and subtract, then put 2nd difference over first.

Also you could just use \frac{y_2-y_1}{x_2-x_1}.  It is the same thing.

(  5  ,   5)

-(  1  ,   3)

--------------

  4      2

So the slope is 2/4 or 1/2 after reducing.

The point-slope form a line is

y-y_1=m(x-x_1) with a point on the line (x_1,y_1)=(1,3) given and with slope m=\frac{1}{2} given.

y-3=\frac{1}{2}(x-1)

We are going to solve this for y and simplify what we can because our goal is y=mx+b; this is slope-intercept form.  It is called that because it tells us the slope,m, and the y-intercept,b.

Distribute:

y-3=\frac{1}{2}x-\frac{1}{2}

Add 3 on both sides:

y=\frac{1}{2}x-\frac{1}{2}+3

Simplify:

y=\frac{1}{2}x+\frac{5}{2}

4 0
3 years ago
How can I graph 34+12d&gt;100 on a number line?
marissa [1.9K]

Answer:

d> 5.5

The graph in the attached figure

Step-by-step explanation:

we have      

34+12d>100

Solve the inequality for d

That means ---> isolate the variable d

Subtract 34 both sides

12d>100-34\\12d> 66

Divide by 12 both sides

d>\frac{66}{12} \\d>5.5

The solution is the interval (5.5,∞)

All real numbers greater than 5.5

In a number line the solution is the shaded area at right of d=5.5 (open circle)

The value of d=5.5 is not included in the solution

The graph in the attached figure

5 0
3 years ago
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