How to solve 3/2 = 9/10k (in fraction form). Please show work

2 answers:

8 0

$\frac{3}{2}=\frac{9}{10k}\\\\ 3 \times 10 k=9 \times 2\\\\30 k=18\\\\k=\frac{18}{30}\\\\ \text{Dividing numerator and denominator by 6}\\\\k=\frac{3}{5}$

⇒Used Cross Multiplication Method

antoniya [11.8K]2 years ago

5 0

3/2 and 9/10. Look at the denominators. 2 times what number equals 10. That number would be 5. So if you multiply the first fractions denominator by 5 you get 10. Do the same to the top. you get a new fracrion which is 15/10. Add normally. 15/10 + 9/10 = 24/10. In lowest terms it is 2 2/5 (2 wholes and 2 out of 5)

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What is the simplified form of the expression k^3(K^7/5)^-5

Vladimir79 [104]

$\bf k^3\left( \cfrac{k^7}{5} \right)^{-5}\implies k^3\left( \cfrac{5}{k^7} \right)^5\implies k^3\left( \cfrac{5^5}{k^{7\cdot 5}} \right)\implies k^3\cdot \cfrac{5^5}{k^{35}}
\\\\\\
k^3\cdot 5^5\cdot k^{-35}\implies 5^5\cdot k^{3-35}\implies 5^5k^{-32}\implies \cfrac{5^5}{k^{32}}\implies \cfrac{3125}{k^{32}}$

3 0

3 years ago

Can u help me on number 5,6,and 7 i will help u on what u need just send me a message

Fynjy0 [20]

<em>5.</em> Input 5 where the x's, 3 = 2(5) - 7 is a true statement. 10 - 7 = 3
3 < 10 - 9 is a false statement, 3 > 1 is a true statement
2 is less than or equal to 11, is a false statement (2 is less than 11, but not equal to)
18 = 30 -12 is a true statement 30 - 12 = 18, 18=18
3= 2 + 5 is a false statement, 3 is not equal to 7

<em>6. </em>7 is less than or equal to 5(4) -16, 20 - 16 = 4, 7 is not less than or equal to 4. Therefore, 4 is not a solution.

<em>7. </em>9(5) - 3 < 60, 45-3 < 60, 42 < 60, 42 is less than 60, so the equation is true.
9(6) - 3 < 60, 54 - 3 < 60, 51 < 60, 51 is less than 60, so the equation is true.
6(7) - 3 < 60, 63 -3 < 60, 60 < 60, 60 is equal to 60, the equation is false.

4 0

3 years ago

Read 2 more answers

Use the given parent function f(x)=|x| to graph g(x)=|x+2|-4. use the ray tool and select two points to graph each ray.

marin [14]

Shown in the attached figure

<h2>Explanation:</h2>

The absolute value function is a function that takes the shape of a V. The pattern of the absolute value function is:

$f(x)=\mid x \mid$