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Black_prince [1.1K]
3 years ago
13

How can I solve this equation X-5=0.1(x+5)

Mathematics
2 answers:
Artist 52 [7]3 years ago
5 0

Answer:

X=6.1

Step-by-step explanation:

x-5=0.1(x+5)

x-5=0.1x+0.5 (distribute 0.1)

x=0.1x+0.5+5 (add 5 to each side)

x-0.1x=5.5 (subtract 0.1x from each side)

0.9x=5.5 (combine like terms)

x=5.5/0.9 (divide by 0.9 on both sides)

x=6.1 (simplify)

Inga [223]3 years ago
3 0

Answer:

6.11

Step-by-step explanation:

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Extra points!! A candle is 17 in tall after burning for 3 hours. After 5
PIT_PIT [208]

Answer:

1) h=-t+20  

2) 12 inches tall.

Step-by-step explanation:

1) The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

In this case:

y=h (The height of the candle in inches)

x=t (The time in hours)

Then, we can rewrite it:

h=mt+b

Based on the information provided in the exercise, the line passes through these points:

(3,17) and (5,15)

Then, we can find the slope of the line with the formula m=\frac{y_2-y_1}{x_2-x_1}:

 m=\frac{15-17}{5-3}=-1

Now we need to substitute the slope and one of the points into  h=mt+b  and then solve for "b":

17=(-1)(3)+b\\\\b=17+3\\\\b=20

Substituting values, we get that the a linear equation that models the relationship between the heigth of the candle and the time, is:

h=-t+20  

2) We must substitute t=8 into the linear equation  h=-t+20 in order to find the height of the candle after burning 8 hours:

 h=-(8)+20\\\\h=12  

4 0
4 years ago
The perimeter of a rectangle is 180 cm. It's length is 70 cm. But what is the width​
aleksandr82 [10.1K]
20

Formula for perimeter: length x 2 + width x 2

70x2 is 140 then subtract it from 180 and you’ll get 40, then you half it and get 20
8 0
2 years ago
Michelle already owns 26 hair bands, and additional hair bands are priced 1 for a dollar With $21 to spend on new hair bands how
Pachacha [2.7K]

Answer:

47

Step-by-step explanation:

starts off with 26 and has $21 to spend, if there each $1 then she can buy 21 more so the answer is 26+21 which = 47

8 0
4 years ago
Consider the quadratic function f(x)=−x2−6x−4, which has been given a restricted domain, as shown in the following graph.
Delicious77 [7]
Domain:
(−∞,∞),{x|x∈R}
All reall numbers
7 0
4 years ago
Beth won 86 pieces of gum playing hoops at her school’s game night. Later, she gave three to each of her friends. She only has 2
algol [13]

Answer:

That's a very dumb question, because some of her friends could be fakers and users. But, I'll answer it.

86 subtracted by 2 is 84.

It says she gave 3 to each friend so:

84 divided by 3 is 28.

She has 28 friends.

3 0
3 years ago
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