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4 years ago

1 point

Mathematics

1 answer:

torisob [31]4 years ago

8 0

Practice his soccer skills. why? because he has soccer soon and practicing his skills would make him better

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When the number is reduced by 15% , the answer is 6154 . What is the original number ?

Vesna [10]

Let's assume the number as x .

15% of x = $\dfrac{x \times 15}{100}$

→ $\dfrac{3x}{20}$

So after reducing 15% the number will be 6154 .

→ x - 3x/20 = 6154

→ 17x/20 = 6154

→ 17x = 6154 × 20

→ 17x = 123080

→ x = 123080/17

→ x = 7240

So the number is 7240

4 0

3 years ago

Lines MN and PQ are parallel. Lines RS and TV intersect them. Which statements are true about these lines? Check all that apply.

Maru [420]

The correct answer is: 
RS is perpendicular to MN and PQ.

Explanation: 
We can use the slopes of these lines to determine the answer.
Slope is given by the formula 
m= $\frac{y_{2}- y_{1} }{ x_{2} - x_{1} }$ .

Using the coordinates for M and N, we have: 
m= $\frac{3--1}{3--3} = \frac{4}{6} = \frac{2}{3}$ .

Since PQ is parallel to MN, its slope will be $\frac{2}{3}$ as well, since parallel lines have the same slope.

Using the coordinates for points T and V in the slope formula, we have 
m= $\frac{-4-1}{0--4} =- \frac{5}{4}$ .

This is not parallel to MN or PQ, since the slopes are not the same.
We can also say that it is not perpendicular to these lines; perpendicular lines have slopes that are negative reciprocals (they are opposite signs and are flipped). This is not true of TV either.

Using the coordinates for R and S in the slope formula, we have 
m= $\frac{-2-1}{2-0} =- \frac{3}{2}$ . Comparing this to the slope of RS, it is flipped and the sign is opposite; they are negative reciprocals, so they are perpendicular.

7 0

4 years ago

Read 2 more answers

Simplify <img src="https://tex.z-dn.net/?f=%5Csqrt%7B68%7D" id="TexFormula1" title="\sqrt{68}" alt="\sqrt{68}" align="absmiddle"

inessss [21]

Answer:
2sqrt(17)
Explanation:
First, prime factorize 68:
sqrt(2*2*17)
Notice we have 2^2 in the equation, so we can just bring 2 out of the square root;
2sqrt(17)
I hope this helped.

5 0

3 years ago

Read 2 more answers

What is the answer to answer to 7m-3m-6<6?

marshall27 [118]

Answer:

m<3

Step-by-step explanation:

7 0

3 years ago

2(5m^4n^-1)^3 simplify show work please

dangina [55]

Answer:

$\large\boxed{2(5m^4n^{-1})^3=250m^{12}n^{-3}=\dfrac{250m^{12}}{n^3}}$

Step-by-step explanation:

$\text{Use}\\\\(ab)^n=a^nb^n\\\\(a^n)^m=a^{nm}\\\\a^{-n}=\dfrac{1}{a^n}\\-------------------\\\\2(5m^4n^{-1})^3=2(5)^3(m^4)^3(n^{-1})^3=2(125)m^{3\cdot4}n^{-1\cdot3}=250m^{12}n^{-3}=\dfrac{250m^{12}}{n^3}$

8 0

4 years ago