All categories

3 years ago

How to solve 3x/7 - 1/2 = 1/14

Mathematics

1 answer:

nlexa [21]3 years ago

8 0

Answer: 4/3

Step-by-step explanation:

First off, we should all get the denominators to be the same.

14 is the LCM of each of the denominators, so:

3x / 7 times 2/2 = 6x/14

-1/2 times 7/7 = -7/14

and 1/14 is 1/14

So now we have

6x/7 + -7/14 = 1/14

We can multiply everything by 14 to get rid of the denominator completely, which leaves us with:

6x - 7 = 1

Then we just solve like a normal equation:

6x = 8

x = 8/6 , or 4/3

You might be interested in

NEED ANSWER

andrew11 [14]

Answer: the height of the helicopter is 22.33 yards

Step-by-step explanation:

The diagram illustrating the scenario is shown in the attached photo. A triangle, ABC is formed.

H represents the height of the helicopter.

x + y = 52

x = 52 - y

We would apply trigonometric ratio.

tan # = opposite side/adjacent side.

Tan 48 = H/x

H = xtan48

H = tan48×(52 - y)

H = 1.1106(52-y)

Also,

Tan 35 = H/y

H = ytan35

H = 0.7002×y

H = 0.7002y

Since H = H, therefore

1.1106(52-y) = 0.7002y

57.7512 - 1.1106y = 0.7002y

0.7002y + 1.1106y = 57.7512

1.8108y = 57.7512

y = 57.7512/1.8108

y = 31.89

Recall,

H = 0.7002y

H = 0.7002 × 31.89 = 22.33 yards

3 0

3 years ago

To prove that the triangles are similar by the SSS similarity theorem, which other sides or angles should be used?]

Margarita [4]

Answer: $\overline{MN}$ and $\overline{QR}$

Step-by-step explanation:

Given: In ΔMNO and ΔQRS

$\frac{SQ}{OM}=\frac{SR}{ON}=4$

To prove that the triangles are similar by the SSS similarity theorem [corresponding sides of similar triangles are proportional], there must be the third pair of corresponding sides,

That must be $\overline{MN}$ and $\overline{QR}$

such that $\frac{QR}{MN}=4$

3 0

3 years ago

Read 2 more answers

Another florist has 16 yellow mums and 40 white carnations. Which question can be answered by finding the GCF of 16 and 40?

Naily [24]

Answer:

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

It takes 45 minutes or forty-five over sixty of an hour to cook a chicken. How many fourths of an hour is that?

lawyer [7]

Answer:3/4

Step-by-step explanation:60 minutes divided by 4 is 15. 3 15 minute increments is 45. 45 minutes is 3 /4 of an hour.

3 0

2 years ago

Look at the picture

Sonbull [250]

$\large\displaystyle\text{$\begin{gathered}\sf 9|x-8| < 36 \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf Divide \ both \ sides \ by \ 9. \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \frac{9(|x-8|)}{9} < \frac{36}{9} \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf |x-8| < 4 \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf Solve \ Absolute \ Value. \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf |x-8| < 4 \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf We \ know \ x-8 < 4 \ and \ x-8 > -4 \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf x-8 < 4 \ (Condition \ 1) \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf x-8+8 < 4+8 \ (Add \ 8 \ to \ both \ sides) \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf x < 12 \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf x-8 > -4 \ (Condition \ 2) \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf x-8+8 > -4+8 \ (Add \ 8 \ to \ both \ \ sides) \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf x > 4 \end{gathered}$}$

$\underline{\boldsymbol{\sf{Answer}}}$

$\boxed{\large\displaystyle\text{$\begin{gathered}\sf x < 12 \ and \ x > 4 \end{gathered}$} }$

$\large\displaystyle\text{$\begin{gathered}\sf Therefore,\bf{\underline{the \ correct \ option}} \ \end{gathered}$}\large\displaystyle\text{$\begin{gathered}\sf is \ \bf{\underline{"A"}}. \end{gathered}$}$

6 0

1 year ago