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3 years ago

What value of a makes the solution to the equation 5x-10=3x+a equal to 12

Mathematics

1 answer:

Illusion [34]3 years ago

6 0

Answer:

a=-1.2

Step-by-step explanation:

5x-10=3x+a=12

let's first find x:

5x-10=12

add 10 to both sides:

5x=22

divide both sides by 5:

x=4.4

now that we know what x is, we can plug it back into the equation to find a:

3*4.4+a=12

first, simplify both sides:

13.2+a=12

then, subtract 13.2 from both sides:

and our answer is: a=-1.2

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3 years ago

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Kitty [74]

Given:
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r = 3.75% = 0.0375
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3 years ago

Given that abc is congruent to def, ac=21x-19 and df=3x+17 solve for x

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21x-19=3x+17
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3 years ago

Type the correct answer in each box. Use numerals instead of words. Solve the equation by completing the square. x2 + 20x + 82 =

VikaD [51]

7=x^2+20x+82
0=x^2+20x+75

What adds to 20 and multiplies to 75? 5 and 15.

x^2+5x+15x+75
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(x+15) (x+5)

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5 0

3 years ago

The length (in centimeters) of a typical Pacific halibut t years old is approximately f(t) = 200(1 − 0.956e−0.18t). Suppose a Pa

horsena [70]

Answer:

7.2 years

Step-by-step explanation:

$f(t) =200(1 - 0.956e^{-0.18t})$

where f(t) is the length and t is the number of years old

given the Mike measures 148 cm, we need to find out the age

So we plug in 148 for f(t) and solve for t

$148 =200(1 - 0.956e^{-0.18t})$

divide both sides by 200

$\frac{148}{200} = 1 - 0.956e^{-0.18t}$

Now subtract 1 from both sides

$-0.26= - 0.956e^{-0.18t}$

Divide both sides by -0.956

$\frac{0.26}{0.956} =e^{-0.18t}$

Now take ln on both sides

$\frac{0.26}{0.956} =e^{-0.18t}$

$ln(\frac{0.26}{0.956} )=-0.18tln(e)$

$ln(\frac{0.26}{0.956} )=-0.18t$

divide both sides by -0.18

t=7.2

So 7.2 years

5 0

3 years ago