How many solutions does this system of equations have 5m-4=7m+8

Mathematics

1 answer:

Stels [109]3 years ago

5 0

Find value of m either add or subtract for m

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a toy manufacturer has designed a new piece for use in building models. It is a cube with side lengths 7 mm and has a 3 mm in di

Ray Of Light [21]

Given that the cubical piece has side (s) 7 mm, and a cylindrical hole of diameter (d) as 3 mm.

The volume of the piece can be calculated as,

$\begin{gathered} \text{Volume of piece}=\text{ Volume of cube}-\text{ Volume of cylinder} \\ V=s^3-\frac{\pi}{4}d^2s \\ V=7^3-\frac{\pi}{4}(3)^2(7) \\ V=343-\frac{63\pi}{4} \\ V\approx293.52mm^3 \\ V\approx293.52\times10^{-9}\text{ }m^3 \end{gathered}$

It is mentioned that the material costs $207 per cubic meter, so the cost (c) of 1 piece is calculated as,

$\begin{gathered} \text{Cost of 1 piece}=\text{ Cost per unit volume}\times\text{ Volume of 1 piece} \\ c=207\times293.52\times10^{-9} \\ c\approx60758.64\times10^{-9} \end{gathered}$

This is the cost (in dollars) for 1 piece.

Given that the manufacturer wants to produce 1,000,000 such pieces, so the total cost (TC) is calculated as,

$\begin{gathered} \text{Total Cost}=\text{ Cost per piece}\times\text{ No. of pieces} \\ TC=60758.64\times10^{-9}\times1,000,000 \\ TC=60758.64\times10^{-9}\times10^6 \\ TC=60758.64\times10^{-3} \\ TC=60.75864 \\ TC\approx60.75 \end{gathered}$

Thus, the total prototypes will cost around $60.75

7 0

1 year ago

A car completes a journey of 570 km at an average speed of 75 km/h calculate the time taken for the journey in hours and minutes

Evgesh-ka [11]

570/75=7 hours and 36 minutes

4 0

3 years ago

What is the value can u show work

Basile [38]

You would put 8 where x is and -10 where y is and then you will do -10 to the second power, which you will get 100 and so you will get 104. The answer is
D) 104

6 0

3 years ago

PLEASE HELP I WILL GIVE BRAINLIEST

SOVA2 [1]

Answer:

65 degrees

Step-by-step explanation:

The angles will sum up to 360, just do 360 - all known angles

360 - 90 - 128 - 77 = 65

3 0

3 years ago

Read 2 more answers

Is 6/6 more than 3/3

hodyreva [135]

They are both equivalent to 1, so they are equal.

4 0

3 years ago