Solve 2∕3 + 5∕6 and put answer in simplest form.<br> A. 3∕2<br> B. 2∕3<br> C. 9∕6<br> D. 7∕6

Below are the supply and demand equations for blenders in a certain market. In these equations, p represents price, D represents

Reptile [31]

The value of p at the point of equilibrium, where supply and demand are equal, is 43.3 (the nearest tenth).

<h3>What is equilibrium point of supply and demand?</h3>

The equilibrium point of supply and demand is the point where, the value of demand of a product is exactly equal to the value of supply of that product.

The supply and demand equations for blenders in a certain market is given as,

$D=\dfrac{-5}{8}p+35$

$S=\dfrac{6}{5}p-44$

Here, in these equations, p represents price, D represents demand, and S represents supply.

At the point of equilibrium, the supply and demand are equal. Therefore,

$D=S\\\dfrac{-5}{8}p+35=\dfrac{6}{5}p-44$

Solve it further to get the value of p as,

$\dfrac{6}{5}p-\dfrac{-5}{8}p=35+44\\\dfrac{6}{5}p-\dfrac{-5}{8}p=35+44\\p=\dfrac{3160}{73}\\p\approx43.3$

Hence, the value of p at the point of equilibrium, where supply and demand are equal is 43.3 (the nearest tenth).

Learn more about the equilibrium point of supply and demand here;

brainly.com/question/1915798

3 0

3 years ago

HELP!! Just need the answer to the question in the picture, please!

Olin [163]

First thing to do is to switch the x and the y and then solve for the new y. Easier said than done! Here's our equation with the switch: $x=2 ^{y} +6$ . We need to get that y out from inside that exponent. This is an exponential equation, and the inverse of an exponential equation is a log equation. Let's do some simplifying here first: $x-6=2 ^{y}$ . The 2 is now the base of our log (x-6) so now we have $y=log _{2} (x-6)$ , which is the last choice above.

3 0

3 years ago

Urgent!!!!!

madreJ [45]

C is the correct answer.

3 0

3 years ago

Read 2 more answers

The perimeter of a rectangle is 54 feet. The area of the rectangle is 176 square feet. Find the dimensions of the rectangle.

Murrr4er [49]

11 by 16

Explanation:

Set up two equations

2

x

+

2

y

=

54

x

×

y

=

176

Solving the first equation for x

2

x

+

2

y

−

2

y

=

54

−

2

y

this gives

2

x

=

54

−

2

y

Divide both sides by 2

(

2

x

2

)

=

54

−

2

y

2

This gives.

x

=

27

−

y

putting this value into the second equation gives.

(

27

−

y

)

×

y

=

176

multiplying across the parenthesis gives

27

y

−

y

2

=

176

subtracting 176 from both sides gives

is

27

y

−

y

2

−

176

=

0

multiplying by negative one gives

−

27

y

+

y

2

+

176

=

0

factoring this into y gives

(

y

−

11

)

×

(

y

−

16

)

=

0

Solving for both y's gives

y

=

11

,

y

=

16

6 0

2 years ago

adrew hiked 2 trails. the first trail was 3 1/4 miles long. the second trail was 3 times as long as the first one. how many mile

UkoKoshka [18]

so you need to know how much is 3 1/4 miles times 3

to make it simpler

3*3=9

then you have the three 1/4ths

1/4+1/4+1/4=3/4

so now you have 9 3/4 but remember you have to add back the first trail that was 3 1/4

9 3/4 + 3 1/4 = 13

so the answer is 13

5 0

3 years ago

Solve 2∕3 + 5∕6 and put answer in simplest form. A. 3∕2 B. 2∕3 C. 9∕6 D. 7∕6