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tresset_1 [31]
2 years ago
10

0.17k - 0.43 = 0.25k + 0.05

Mathematics
1 answer:
Volgvan2 years ago
4 0

Answer:

-6

Step-by-step explanation:

0.17k - 0.43 =0.25k + 0.05

Collect like terms

0.17k - 0.25k =0.43 + 0.05

-0.08k = 0.48

Divide both sides by -0.08

K = 0.48/-0.08

K = -6

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Rewrite each fraction with a denominator of 10 7/2 3/5
Vaselesa [24]

Answer:

  • \frac{7}{2}=\frac{35}{10}
  • \frac{3}{5}=\frac{6}{10}

Step-by-step explanation:

Given the fraction

\frac{7}{2}

Multiplying numerator and denominator by 5

\frac{7}{2}\times \frac{5}{5}

=\frac{35}{10}

Therefore,

  • \frac{7}{2}=\frac{35}{10}

Similarly,

Given the fraction

\frac{3}{5}

Multiplying numerator and denominator by 2

\:\frac{3}{5}\times \:\frac{2}{2}

\frac{3}{5}\times \:\frac{2}{2}=\frac{6}{10}

Therefore,

  • \frac{3}{5}=\frac{6}{10}
8 0
3 years ago
Ed decided to build a storage box. At first, he was planning to build a cubical box with edges of length n inches. To increase t
Mandarinka [93]

Answer:

The new volume is 3n^2+2n inches greater.

Step-by-step explanation:

Volume of a cube = s^3 where s is side of cube

Original volume = n^3

Volume of a Rectangular Prism = LBH

New Volume = (n+1)(n+2)(n)= n^3+3n^2+2n

DIfference = New- original = 3n^2+2n

4 0
3 years ago
Jan spends part of her year as a member of a gym. She then finds a better deal at another gym, so she cancels her membership wit
valkas [14]

She spent 8 months in the 1st gym and 4 months in the 2nd gym

Step-by-step explanation:

Jan spends part of her year as a member of a gym.

  • She then finds a better deal at another gym so she cancels her membership with the first gym after x months
  • She spends the rest of the year, y months, with the second gym
  • The membership to the first gym costs $75 per month, while the membership for the second gym costs $45 per month
  • She ended up spending a total of $780 over the course of the year

We need to find how much time she spent at each gym

∵ She spent x months in the 1st gym

∵ She spent y months in the 2nd gym

∵ Her course is a year

- There are 12 months in a year

∴ x + y = 12 ⇒ (1)

∵ The membership to the first gym costs $75 per month

∵ The membership to the second gym costs $45 per month

∵ She ended up spending a total of $780 over the course

∴ 75x + 45y = 780 ⇒ (2)

Now we have a system of equations to solve it

Multiply equation (1) by -45 to eliminate y

∵ -45x - 45y = -540 ⇒ (3)

- Add equations (2) and (3)

∴ 30x = 240

- Divide both sides by 30

∴ x = 8

- Substitute the value of x in equation (1) to find y

∵ 8 + y = 12

- Subtract 8 from both sides

∴ y = 4

She spent 8 months in the 1st gym and 4 months in the 2nd gym

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

4 0
3 years ago
In the figure, all, and both lines are intersected by transversal & Complete the statements to prove that m≤1 = m25.
m_a_m_a [10]

First blank: Substitution or transitive property of equality

Second blank: Subtraction property of equality

7 0
2 years ago
The equation 3/x=5/7 is equivalent to the equation
katrin2010 [14]

Answer:

Step-by-step explanation:

3/x=5/7 is the same as A 21=5x Both equal to 21/5 or 4 1/5

7 0
2 years ago
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