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3 years ago

Solve the equation 1/10x-1=3/5

Mathematics

2 answers:

tangare [24]3 years ago

8 0

Answer: 16

Step-by-step explanation:

$\dfrac{1}{10}x - 1 = \dfrac{3}{5}\\\\\\\dfrac{1(10)}{10}x - 1(10) = \dfrac{3(10)}{5}\quad \rightarrow \quad \text{(multiplied by LCD)}\\\\\\x - 10 = 3(2)\quad \rightarrow \quad \text{(simplified all terms)}\\x - 10 = 6\quad \rightarrow \quad \text{(simplified right side)}\\x = 16\quad \rightarrow \quad \text{(added 10 to both sides)}$

Sladkaya [172]3 years ago

7 0

Answer:

x = 16

Step-by-step explanation:

multiply all terms in the equation by the lowest common multiple of 10 and 5, that is 10 to eliminate the fractions

x - 10 = 6 ( add 10 to both sides )

x = 16

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If the roots of x²-7x+k=0 are m and m-1, find the value of the constant k

creativ13 [48]

Answer: k=12

Step-by-step explanation:

x2 - 7x + k = 0

using quadratic formula method,

x = [-b ± √(b2 - 4ac)]/2a

a = 1

b = -7

c = k

x = [-(-7) ± √((-7)2 - 4(1)(k))]/2(1)

x = [7 ± √(49 - 4k)]/2

x = [7 + √(49 - 4k)] / 2 and [7 - √(49 - 4k)] / 2

since the roots are m and m-1,

m = [7 + √(49 - 4k)] / 2 ------------ eqn(1), and

m - 1 = [7 - √(49 - 4k)] / 2 ----------- eqn(2)

add 1 to both sides of eqn(2)

m = [7 - √(49 - 4k)]/2 + 1 --------------- eqn(3)

eqn(1) = eqn(3)

[7 + √(49 - 4k)]/2 = [7 - √(49 - 4k)]/2 + 1

7/2 + (√(49 - 4k))/2 = 7/2 - (√(49 - 4k))/2 + 1

collect like terms,

(√(49 - 4k))/2 + (√(49 - 4k))/2 = 7/2 - 7/2 + 1

(√(49 - 4k))/2 + (√(49 - 4k))/2 = 0 + 1

(√(49 - 4k))/2 + (√(49 - 4k))/2 = 1

multiply through by 2

√(49 - 4k) + √(49 - 4k) = 2

2√(49 - 4k) = 2

divide both side by 2

√(49 - 4k) = 1

square both sides

49 - 4k = 1

collect like terms,

4k = 49 - 1

4k = 48

divide both sides by 4

k = 48/4

k = 12

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3 years ago

How many ways can a person with five nickels, three dimes, and two quarters make a 75-cent purchase from the machine?

DIA [1.3K]

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3 years ago

If f(x) = -x + 4 and g(x) = x^2 - 5, then g(f(3)) = ? A) -8 B) -4 C) -3 D) 0

kenny6666 [7]

Answer:

B) -4

Step-by-step explanation:

To solve g(f(3)), we first have to solve f(3):

Since f(x) = -x +4 , f(3) = -3 + 4 = 1

Now we have to solve g(1) , since that is what f(3) left us;

Since g(x) = x^2 - 5 , g(1) = 1^2 - 5 = 1 - 5 = -4

4 0

4 years ago

Which set of numbers is arranged in increasing order? A. , , , B. , , , C. , , , D. , , ,

Jet001 [13]

Answer:

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Step-by-step explanation:

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4 0

3 years ago

Read 2 more answers

hello i was trying to get the understanding on how is 4-6+6=4,,,,,,,my answer (4-6=2+6=8) but me being in high school i know its

frozen [14]

Thanks for the question!

4 - 6 + 6

We can make this easier by doing it one step at a time. First, lets do 4 - 6.

4 - 6 + 6
-2 + 6

Now, solve:

-2 + 6
4

Hope this helps!

6 0

3 years ago