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3 years ago

Solve for x.

Mathematics

1 answer:

lidiya [134]3 years ago

7 0

Answer:

x = 1/4

Step-by-step explanation:

Calculations:

$7(x-3)+3(4-x)=-8$

$7x-21+12-3x=-8$

$4x-9=-8$

$4x=1$

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

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In the diagram, point O is the center of the circle. If m∠ABC = 70°, what is m∠AOC?

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3 years ago

Determine the mass of a solid steel ball that has a diameter of 10 cm. The density of pure steel is 8.09 g/cm3

Basile [38]

Answer:

The mass of the steel ball is 4,235.9 gr

Step-by-step explanation:

Density

The density ρ of a substance is a measure of its mass per unit volume:

$\displaystyle \rho=\frac{m}{V}$

If the density and the volume are given, the mass can be calculated by solving the above formula for m:

$m=\rho.V$

We know the density of pure steel ρ=8.09 gr/cm3 and the diameter of a solid steel ball d=10 cm.

We need to calculate the volume of the sphere:

The volume of a sphere of radius r is given by:

$\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3$

The radius is half the diameter: r= 10/2 = 5 cm. Thus:

$\displaystyle V=\frac{4}{3}\cdot \pi\cdot 5^3$

Calculating:

$V=523.6\ cm^3$

The mass is:

$m=8.09 gr/cm^3 \cdot 523.6\ cm^3$

m=4,235.9 gr

The mass of the steel ball is 4,235.9 gr

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3 years ago

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Step-by-step explanation:

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3 years ago

Read 2 more answers

A six-pack of soda costs $2.49, a 12-pack of soda costs $3.99, and a 24-pack of soda costs $5.49. Which pack has the lowest cost

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3 years ago

Y=2x+1 y=4x-1 SHOW YOUR WORK PLEASE

Tanya [424]

Let's solve your system by substitution.

y=2x+1;y=4x−1

Step: Solve y=2x+1for y:

y=2x+1

Step: Substitute2x+1foryiny=4x−1:

y=4x−1

2x+1=4x−1

2x+1+−4x=4x−1+−4x(Add -4x to both sides)

−2x+1=−1

−2x+1+−1=−1+−1(Add -1 to both sides)

−2x=−2

−2x

−2

(Divide both sides by -2)

x=1

Step: Substitute1forxiny=2x+1:

y=2x+1

y=(2)(1)+1

y=3(Simplify both sides of the equation)

Answer:

x=1 and y=3

3 0

3 years ago