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2 years ago

Solve the following: four and seven twelfths plus six and nine twelfths

Mathematics

1 answer:

irinina [24]2 years ago

4 0

Ans:

11 and four twelfths

Step-by-step explanation:

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8. Charlotte is given the equation 3x - 4y = 12. She needs to create a graph of the equation, but

Zielflug [23.3K]

Answer/Step-by-step explanation:

Note:

Graphing From An Equation:

Equation are frequently written in slope-intercept form { y = mx+b}.

Which "m" represents the slope and "b" represents the y-intercept.

Solutions and Equation:

Solutions to linear equations contain any points located on the graphed line.

Ordered Pair = Solution to an equation if it's values are substituted in the equation which makes it true

Solve:

{x = 0 } 3(0) - 4y = 12

-4y = 12 (0, -3 )

-4y/-4 = 12/-4

y = -3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

{y = 0} 3x-4(0) =12

3x = 12 (4,0)

3x/3 = 12/3

x = 4

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

~Lenvy~

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2 years ago

Small paper clips cost $1.20 per package of 150. The ratio of the number of large paper clips needed to fill the allotted space

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3 years ago

robert has money in his saving account. he spent $35 of it on a new jacket. he has $70 left. how much money did he have his savi

aliina [53]

He had $105 in his savings

6 0

3 years ago

Rewrite with positive exponents a^-3 b^-5

amm1812

Answer:

1/a^3 and 1/b^5

6 0

3 years ago

A prop for the theater club’s play is constructed as a cone topped with a half- sphere. What is the volume of the prop? Round yo

san4es73 [151]

The volume of the prop is calculated to be 1,875.6 cubic cm.

Step-by-step explanation:

Step 1; The prop consists of a cone and a half-sphere on top. We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2; The volume of a cone is determined by multiplying $\frac{1}{3}$ with π, the square of the radius (r²) and height (h). Here we substitute π as 3.14. The radius is 8 cm and the height is 12 cm.

The volume of the cone = $\frac{1}{3}$ × 3.14 × 8 × 8 × 12 = 803.84 cubic cm.

Step 3; The area of a half-sphere is half of a full sphere. The volume of a sphere is given by multiplying $\frac{4}{3}$ with π and the cube of the radius (r³). Here the radius is 8cm. We take π as 3.14.

The volume of a full sphere = $\frac{4}{3}$ × 3.14 × r³ = $\frac{4}{3}$ × π × 8³ = 2,143.5733 cubic cm.

The volume of a half-sphere = $\frac{ 2,143.5733}{2}$ = 1,071.7866 cubic cm.

Step 4; The total volume = The volume of the cone + The volume of the half sphere,

The total volume = 803.84 cubic cm + 1,071.7866 cubic cm = 1,875.6266 cubic cm. By rounding this off to the nearest tenth we get 1,875.6 cubic cm.

4 0

3 years ago