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choli [55]
3 years ago
11

Solve the equation for x

Mathematics
1 answer:
PIT_PIT [208]3 years ago
7 0

Answer:

              \bold{x=\frac{-6+z}6=-1+\frac z6}

Step-by-step explanation:

\bold{x-6+5x=-12+z}\\{}\quad +6\qquad\quad\ +6\\{\quad}\bold{6x\ =\ -6+z}\\{}\quad\div6\quad\ \ \div6\\{}\quad \bold{x=\frac{-6+z}6=-1+\frac z6}

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Taylor is building doghouses to sell. Each doghouse requires 3 full sheets of plywood which Taylor cuts into new shapes. The ply
lapo4ka [179]

Answer:

Step-by-step explanation:

taylor is building doghouses to sell. each doghouse requires 3 full sheets of plywood which taylor cuts into new shapes. the plywood is shipped in bundles of 14 full sheets. how many doghouses can taylor make from 12 bundles of plywood?

8 0
3 years ago
Which mixed number is equivalent to the improper function below? 46/10
Valentin [98]

Answer:

B. 4 and 6/10

Step-by-step explanation:

in order to find this answer i've always had a trick where i first off find an even number to divide these with and in this case that would be 4 and then the leftovers would be 6/10 and in this case your answer would be right there 4 and 6/10 but if needed to be simplified it would be 4 and 3/5

hope this helps, if it did please make sure to like and rate and give me the brainliest if possible!

have a good day!

6 0
3 years ago
Read 2 more answers
A box of cashews peanuts and almonds contains 270 nuts. for every 5 cashews there are 6 peanuts and 7 almonds. How many more are
yKpoI14uk [10]
For every 5 cashews, there are 6 peanuts and 7 almonds.

Means:    Cashews:Peanuts:Almonds = 5:6:7

Sum of ratio = 5 + 6 +7 = 18

Cashews =    (5/18) * 270 = 75


Peanuts =    (6/18) * 270 = 90


Almonds =    (7/18) * 270 = 105

So how many more what are there than peanuts?

The number of that nuts Minus the number of peanuts.

= Number of that nuts  -  90
5 0
3 years ago
Abdul is working on a project and has cut a number of wooden blocks of equal size that are represented by this right rectangular
Valentin [98]

The amount of fabric needed to cover 8 blocks is 192cm.

<h3>How much fabric is needed to cover 8 blocks?</h3>

In order to determine the amount of fabric needed, the total surface area of the rectangular prism has to be determined. The total surface area of the rectangular prism is the sum of the areas its faces.

Total surface area of a rectangular prism = 2 (lw + wh + lh)

where:

  • l = length
  • w = width
  • h = height

2 x [(4 x 1/2) + (1/2 x 2) + (4 x2)] = 24cm

Fabric needed fo 8 blocks = 24 x 8 = 192cm

To learn more about rectangular prisms, please check: brainly.com/question/8890358

3 0
2 years ago
Read 2 more answers
For the composite function, identify an inside function and an outside function and write the derivative with respect to x of th
alexira [117]

Answer:

The inner function is h(x)=4x^2 + 8 and the outer function is g(x)=3x^5.

The derivative of the function is \frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4.

Step-by-step explanation:

A composite function can be written as g(h(x)), where h and g are basic functions.

For the function f(x)=3(4x^2+8)^5.

The inner function is the part we evaluate first. Frequently, we can identify the correct expression because it will appear within a grouping symbol one or more times in our composed function.

Here, we have 4x^2+8 inside parentheses. So h(x)=4x^2 + 8 is the inner function and the outer function is g(x)=3x^5.

The chain rule says:

\frac{d}{dx}[f(g(x))]=f'(g(x))g'(x)

It tells us how to differentiate composite functions.

The function f(x)=3(4x^2+8)^5 is the composition, g(h(x)), of

     outside function: g(x)=3x^5

     inside function: h(x)=4x^2 + 8

The derivative of this is computed as

\frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=3\frac{d}{dx}\left(\left(4x^2+8\right)^5\right)\\\\\mathrm{Apply\:the\:chain\:rule}:\quad \frac{df\left(u\right)}{dx}=\frac{df}{du}\cdot \frac{du}{dx}\\f=u^5,\:\:u=\left(4x^2+8\right)\\\\3\frac{d}{du}\left(u^5\right)\frac{d}{dx}\left(4x^2+8\right)\\\\3\cdot \:5\left(4x^2+8\right)^4\cdot \:8x\\\\120x\left(4x^2+8\right)^4

The derivative of the function is \frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4.

3 0
3 years ago
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