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Mrrafil [7]
3 years ago
15

Please help me with this math question​

Mathematics
1 answer:
scZoUnD [109]3 years ago
6 0

Answer:

<h2>d : e : f = 4 : 3 : 6</h2>

Step-by-step explanation:

\bold{METHOD\ 1}\\\\6d=8e\qquad\text{divide both sides by 6}\\\\d=\dfrac{8}{6}e\to d=\dfrac{4}{3}e\\\\\text{Substitute it and}\ f=2e\ \text{to the ratio}\ d:e:f:\\\\\dfrac{4}{3}e:e:2e\qquad\text{cancel}\ e\\\\\dfrac{4}{3}:1:2\qquad\text{multiply by 3}\\\\\huge\boxed{4:3:6}

\bold{METHOD\ 2}\\\\6d=8e\qquad\text{divide both sides by 6}\\\\d=\dfrac{8}{6}e\qquad\text{divide both sides by}\ e\neq0\\\\\dfrac{d}{e}=\dfrac{4}{3}\to d:e=4:3\\\\2e=f\qquad\text{divide both sides by 2}\\\\e=\dfrac{f}{2}\to e=\dfrac{1}{2}f\qquad\text{divide both sides by}\ f\neq0\\\\\dfrac{e}{f}=\dfrac{1}{2}\to e:f=1:2\\\\\text{We have}\ d:e=4:3\ \text{and}\ e:f=1:2.

\text{We know}\ \dfrac{1}{2}=\dfrac{1\cdot3}{2\cdot3}=\dfrac{3}{6}\\\\\text{threfore}\ e:f=3:6\\\\\text{Now we have}\\\\\left\begin{array}{ccc}d:e=4:3\\e:f=3:6\end{array}\right\}\large{\boxed{d:e:f=4:3:6}}

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saul85 [17]

Answer:

\displaystyle \large \boxed{y < 5}

Step-by-step explanation:

We are given the Inequality:

\displaystyle \large{ \frac{2y}{2}  <  \frac{10}{2} }

First, we can simplify the expression. On the left side of Inequality, we can cancel 2; on the right side, we can cancel 2 out as well.

Simply, division!

\displaystyle \large{ \frac{ \cancel{2}y}{ \cancel{2}}  <  \frac{ \cancel{10}}{ \cancel{2} }}

2 divides 2 is 1; 2 divides 10 is 5.

\displaystyle \large{ \frac{1y}{1}  <  \frac{ 5}{ 1}}

Generally, it is not recommended to write 1 beside the variable nor write 1 as a denominator.

Simplify the expression:-

\displaystyle \large{ y  <  5}

Therefore, the value of y is less than 5.

Let me know if you have any questions after reading the explanation!

7 0
2 years ago
The work in an office takes 150 hours to complete every week.
Eva8 [605]

Answer:  A minimum of 5 people will be needed.

Step-by-step explanation:

150/32 = 4.6875

You can't have a partial person, so round up to 5.

It may be possible to have 4 employees working 32 hours and another working 22 hours, but that is not what the question asks exactly. That is still 5 people.

3 0
2 years ago
In the inequality, what are all the possible values of x?
Marat540 [252]

Answer:

B) \displaystyle x ≤ 0

Step-by-step explanation:

2(x + 12) − 16 ≤ 8

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I am joyous to assist you anytime.

7 0
3 years ago
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Answer:

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Step-by-step explanation:

Neptune's distance from the sun = 4.5 * 10^9

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The required difference is

4,500,000,000 - 57,000,000

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7 0
3 years ago
Solve v^2+2v=0 by factoring
Yuki888 [10]

\large \mathfrak{Solution : }

let's factorise :

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3 years ago
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