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3 years ago

Apply the distributive property to create an equivalent expression. 6(3c - 5d + 6) =6(3c−5d+6)=

Mathematics

2 answers:

Mars2501 [29]3 years ago

8 0

Answer:

18c - 30d + 36

Step-by-step explanation:

6(3c - 5d + 6)

6 × 3c = 18c

6 × -5d = -30d

6 × 6 = 36

daser333 [38]3 years ago

5 0

Answer:

18c - 30d + 36.

Step-by-step explanation:

6(3c−5d+6)

= 6*3c + 6*-5d + 6*6

= 18c - 30d + 36.

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James has 13.7 ounces of trail mix. He shares the trail mix equally with his sister.

tiny-mole [99]

Answer:

6.85 ounces

Step-by-step explanation:

13.7/2people=6.85

8 0

3 years ago

A sphere and a cylinder have the same radius, and the height of the cylinder is equal to its radius; which figure has the greate

disa [49]

Answer:

The sphere has the greatest volume

Step-by-step explanation:

First note down the formula for volume of sphere and that for volume of a cylinder

Volume of a cylinder

$=\pi r^2h$

Volume of the sphere

$=\frac{4}{3} \pi r^3$

Now from the question, the radius of the cylinder and sphere are equal.In addition, the radius of cylinder is equal to its height.This means that the radius of the sphere, the radius of the cylinder and the height of the cylinder are all equal

Hence,

lets take the radius of cylinder to be= x units

The radius of the sphere will be =x units

The height of the cylinder will be= x units

Calculate the volume of cylinder

$V=\pi r^2h=\pi *x^2*x=\pi x^3$

Calculate the volume of the sphere

$V=\frac{4}{3} *\pi *r^3=\frac{4}{3} *\pi *x^3=\frac{4}{3} \pi x^3$

Comparing the volumes

The volume of the sphere is more than the volume of cylinder.If you take the value of x=1 then

Volume of sphere will = 4.189 cubic units

Volume of cylinder will= 3.142 cubic units

8 0

3 years ago

emma bought a DVD and a video game. The DVD cost $4 less than the video game. Together they cost $42. How much did the DVD cost?

nalin [4]

17 and 25 for the game hope this helps

8 0

3 years ago

Frank plans to spend no more than $85 on plants for his front garden. He purchases a salvia and three azaleas. The azaleas cost

pochemuha

Answer:

Plz mark brainlest and answer my quisten if you know it! Click on my profile and click on quistens.

Step-by-step explanation:

Your answer should be 63. Hope this helps you!

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3 years ago

Complete the missing parts of the

vekshin1

Answer:

Remember the property:

a^-1 = (1/a)^1

and:

(a/b)^n = (a^n)/(b^n)

A table for a function like:

$\left[\begin{array}{ccc}x&f(x)\\&\\&\\&\\&\end{array}\right]$

Is just completed as:

$\left[\begin{array}{ccc}x&f(x)\\x_1&f(x_1)\\x_2&f(x_2)\\x_3&f(x_3)\\x_4&f(x_4)\end{array}\right]$

So, here we have:

y = f(x) = (1/6)^x

To complete the table, we need to find:

f(-1)

and

f(2)

So let's find these two values:

f(-1) = (1/6)^-1 = (6/1)^1 = 6

and the other value is:

f(2) = (1/6)^2 = 1/36

Then the complete table is:

$\left[\begin{array}{ccc}x&f(x)\\-2&36\\-1&6\\0&1\\1&1/6\\2&1/36\\1&1/216\end{array}\right]$

4 0

3 years ago