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3 years ago

a builder plans about houses each house will be built on 5/6 of an Acura how much land will be needed for 7 houses

2 answers:

6 0

Well current we know that one house takes 5/6 of an Acura. Therefore 7 houses will take up:
5/6 * 7 = 5.83333333333331 Acuras

Ans: 7 houses will require 5.83 Acuras

aleksandr82 [10.1K]3 years ago

3 0

5/6 times 7 = 5.83333333333331 (repeated decimal)

So therefore, 7 houses will require 5.83 Acuras

Hope this helps!

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Hi, umm pls help 1/6(x-5)=1/2(x+6), solve for x And can you please explain

Mumz [18]

Answer:

By solving the equation $\frac{1}{6}(x-5)=\frac{1}{2}(x+6)$ we found that $x=\frac{23}{2} \text { or }=11 \frac{1}{2}$

Explanation:

Given equation,

$\frac{1}{6}(x-5)=\frac{1}{2}(x+6)$ to find x

Step: 1 Cross multiply the denominators 2(x-5)=6(x+6)

Step: 2 Open brackets and simplify the term 2x-10=6x+36

Step: 3 Bring x terms on one side and simplify the equation the equation obtained is following,

2x-6x=36+10

-4x=46

$-x=\frac{46}{4}=\frac{23}{2}=11 \frac{1}{2}$

Therefore, we solved x value from the given equation $\frac{1}{6}(x-5)=\frac{1}{2}(x+6)$ as $x=\frac{23}{2} \text { or }=11 \frac{1}{2}$ .

4 0

3 years ago

Please help or at least give me a clue, thanks

Paladinen [302]

The answer is b hope that helps

8 0

3 years ago

Greatest common factor of 6bc and 9b2c

tatyana61 [14]

Factors of the first term are 2·3, b, c.
Factors of the second term are 3², b², c.

Factors that appear in both lists are 3, b, c. The product of these is your GCF.
3bc

4 0

3 years ago

0.4 divided by 0.08 show your work

Marat540 [252]

Remove decimal for 4 move other decimal over once to the right and divide like normal

4 0

2 years ago

Charlie has the utility function u(xa, xb) =xaxb. If Charlie's income is $40, the price of apples is $4, and the price of banana

leonid [27]

Answer:

There are 5 apples in the best bundle Charlie can afford

Step-by-step explanation:

If the utility function is u(xa, xb) , where xa represent the quantity of apples and xb is the quantity of bananas then we want to choose the quantity of bananas and apples that maximises the utility of Charlie for the same budget restriction ( get the most benefit for the same money).

The budget restriction is

$4* xa + $2* xb = $40

then

u(xa, xb) =xa*xb

4*xa + 2*xb = 40 → xb = (40 - 4*xa)/2 = 20 - 2*xa

replacing in the utility function

u(xa, xb) =xa* (20 - 2*xa) = 20*xa - 2*xa²

the maximum of this function is obtained when the derivative of the utility function with respect to xa is 0 . Thus

du/dxa = 20 - 4*xa = 0 → xa = 20/4 = 5

then for

xa=5 apples

xb=20 - 2*xa = 20 - 2*5 = 10 bananas

Charlie maximises his utility . Therefore there are 5 apples in the best bundle Charlie can afford

6 0

3 years ago