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4 years ago

What is the solution to the equation 1/4x-1/8=7/8+1/2

Mathematics

1 answer:

Dmitrij [34]4 years ago

7 0

Answer: x=6

Step-by-step explanation:

1) add 1/8 to both sides

2) divide both sides by 1/4

3) 1.5/.25= 6

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rewrite these in increasing order of length: 537 km, 790 dm, 41 cm, 8 mm, 788 m

kompoz [17]

Answer: $8mm,\ 41cm,\ 790dm,\ 788m,\ 537km$

Step-by-step explanation:

To solve this problem you must:

1. Write the lenghts given in the problem in the same units.

2. Let's convert all the units to meters. Then:

537 km to m:

$(537km)(\frac{1,000}{1km})= 537,000m$

790 dm to m:

$(790dm)(\frac{1m}{10dm})=79m$

41 cm to m:

$(41cm)(\frac{1m}{100cm})=0.41m$

8 mm to m:

$(8mm)(\frac{1m}{1,000mm})=8*10^{-3}m$

Now you rewrite them in increasing order:

$8mm,\ 41cm,\ 790dm,\ 788m,\ 537km$

4 0

3 years ago

Read 2 more answers

Solve the differential equation. dz/dt + e^(t + z) = 0

netineya [11]

$\frac{dz}{dt} + e^{t + z} = 0 \ \Rightarrow\ \frac{dz}{dt} = - e^{t + z} \ \Rightarrow\ \frac{dz}{dt} = - e^{t}e^z \ \Rightarrow\ \\ \\
\frac{dz}{e^z} = -e^{t} dt \ \Rightarrow\ \int e^{-z} dz=\int -e^{t} dt \ \Rightarrow\ \\ \\
-e^{-z} = -e^{t} + C \ \Rightarrow\ e^{-z} = e^{t} - C \ \Rightarrow\ -z = \ln(e^{t} - C)\ \Rightarrow\ \\ \\
z = -\ln(e^{t} - C)

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7 0

4 years ago

Find f(-5) f(x) = -4x + 3

Marina CMI [18]

For this case we have a function of the form $y = f (x)$

Where:

$f (x) = - 4x + 3$

We must find the value of the function when the variable x is -5.

Then, substituting, $x = -5$

$f (-5) = - 4 (-5) +3$

We have that by sign law $- * - = +$

$f (-5) = 20 + 3\\f (-5) = 23$

Answer:

$f (-5) = 23$

4 0

3 years ago

Read 2 more answers

5x-2=3x+4 which one? x=1 x=2/3 x=-3 x=3

Nataly [62]

Answer:

x=3

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

13. How many distinct 4-letter groupings can be made with the letters from the word champion if letters may not be repeated?

ddd [48]

Answer:

N = 1680

Therefore, 1680 '4 letter groupings' can be formed from the word 'champion'

Step-by-step explanation:

Given the word 'champion' which is an 8 distinct Letter word. The number of 4 letter groupings that could be formed from it can be given by the permutation since in this case order of letters are important.

The number of distinct 4 letter groupings can be given as;

N = nPr = 8!/(8-4)!, where n= 8 and r = 4

N = 8P4 = 8!/(8-4)!

N= 8!/4!

N = 1680

Therefore, 1680 '4 letter groupings' can be formed from the word 'champion'

7 0

4 years ago