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Inga [223]
3 years ago
9

Solve for x

"TexFormula1" title=" \frac{x}{2} + \frac{3}{4} = 10" alt=" \frac{x}{2} + \frac{3}{4} = 10" align="absmiddle" class="latex-formula">
​
Mathematics
2 answers:
Alex Ar [27]3 years ago
7 0
I got x= 37, 37/2, but I’m not 100% sure
Degger [83]3 years ago
6 0

Answer:

x = 18.5

Step-by-step explanation:

Given

\frac{x}{2} + \frac{3}{4} = 10

Multiply through by 4 to clear the fractions

2x + 3 = 40 ( subtract 3 from both sides )

2x = 37 ( divide both sides by 2 )

x = \frac{37}{2} = 18.5

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Answer:

Silver

Step-by-step explanation:

Find the volume of the coin

<u>Volume of a cylinder</u>

\textsf{V}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}

Given:

  • r = 1.5 cm
  • h = 0.25 cm

Substituting given values into the formula to find the volume:

\sf \implies V=\pi (1.5)^2(0.25)

\sf \implies V=0.5625 \pi \:cm^3

Find the density of the coin given it has a measured mass of 18.54 g

<u>Density formula</u>

\sf \rho=\dfrac{m}{V}

where:

  • \rho = density
  • m = mass
  • V = volume

Given:

  • m = 18.54 g
  • \sf V=0.5625 \pi \:cm^3

Substituting given values into the density formula:

\implies \sf \rho=\dfrac{18.54}{0.5625 \pi}

\implies \sf \rho=10.49149385\:g\:cm^{-3}

Given:

  • \textsf{Density of Lead}=\sf 11.3\:g\:cm^{-3}
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Therefore, as \sf \rho=10.49\:g\:cm^{-3} the coin is made from silver.

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2 years ago
Point-Slope Form: y - 5= 3(x- 1) Standard Form: ​
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Step-by-step explanation:

y - 5 = 3(x - 1)

y - 5 = 3x - 3

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The standard form is 3x - y = -2.

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Step-by-step explanation:

Hope that helps!

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<em>Convert the mixed number to the improper fraction.</em>

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