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3 years ago

What are the steps to get 1/7

Mathematics

1 answer:

madreJ [45]3 years ago

8 0

1/7 is your answer. It can't be reduced any further. If there is supposed to be a problem, next time, add it.

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Parallel perpendicular or neither<br> Y=3x-7<br> Y=3x+1

strojnjashka [21]

Parallel. The two equations have the same slope, 3, which makes them parallel.

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4 years ago

Read 2 more answers

On Monday morning, the temperature was 68 oF; but, by the afternoon, the temperature had risen 18 oF. On Tuesday morning, the te

MatroZZZ [7]

We are given

For Monday:

Morning temperature =68 F

but, by the afternoon, the temperature had risen 18 oF

so, afternoon temperature =68+18=86F

For Tuesday:

the temperature had dropped 21 oF since Monday afternoon

so, morning temperature=86-21=65F

but rose 20 F by the noon

so, noon temperature =65+20=85F

now, we can find temperature difference

temperature difference = 85F-68F

temperature difference = 17F.......................Answer

7 0

3 years ago

Picture or photo frames are prepared in a workshop. How many rectangular frames measuring 15.4 cm by 3.7 dm can be produced from

mel-nik [20]

Answer:

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4 years ago

One number is 4 times another number. The sum of their reciprocals is 5. What are the two numbers?

ivann1987 [24]

Answer:

The two number are:

$y=1,\:x=\frac{1}{4}$

Step-by-step explanation:

Let 'x' be the first number

let 'y' be the second number

Given that one number is 4 times another number, the first equation is

$y = 4x$

Next, the sum of their reciprocals is 5, so

$\frac{1}{x}+\frac{1}{y}=5$

Now, we have the system of equations

$\begin{bmatrix}y=4x\\ \frac{1}{x}+\frac{1}{y}=5\end{bmatrix}$

Let us solve the system of equations

$\begin{bmatrix}y=4x\\ \frac{1}{x}+\frac{1}{y}=5\end{bmatrix}$

substitute y = 4x in the equation $\frac{1}{x}+\frac{1}{y}=5$

$\frac{1}{x}+\frac{1}{4x}=5$

Least Common Multiple of x, 4x: 4x

Adjust fractions based on L.C.M

$\frac{4}{4x}+\frac{1}{4x}=5$

$\frac{4+1}{4x}=5$

$\:\frac{5}{4x}=5$

Multiply both sides by 4x

$\frac{5}{4x}\cdot \:4x=5\cdot \:4x$

Simplify

$5=20x$

switch sides

$20x=5$

Divide both sides by 20

$\frac{20x}{20}=\frac{5}{20}$

Simplify

$x=\frac{1}{4}$

For y = 4x, substitute $x=\frac{1}{4}$

$y = 4x$

$y=4\cdot \frac{1}{4}$

$y=1$

Therefore, the two number are:

$y=1,\:x=\frac{1}{4}$

<u>Verification:</u>

$\frac{1}{x}+\frac{1}{y}=5$

substituting $y=1,\:x=\frac{1}{4}$

$\:\frac{1}{\frac{1}{4}}+\frac{1}{1}=\:5\:\:$

$4+1=5$

$5 = 5$

L.H.S = R.H.S

and

$y = 4x$

substituting $y=1,\:x=\frac{1}{4}$

$y\:=\:4\left(\frac{1}{4}\right)$

$y=1$

8 0

3 years ago

Which expression are equivalent to a^6 plus b^4

alexandr1967 [171]

A+a+a+a+a+a and b+b+b+b

4 0

3 years ago