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3 years ago

Solve the equation 5(x-2)=7(x+4) for x

Mathematics

1 answer:

Sphinxa [80]3 years ago

3 0

Answer:

$\boxed{\bold{x=-19}}$

Step By Step Explanation:

Expand $\bold{5\left(x-2\right): \ 5x-10}$

Expand $\bold{7\left(x+4\right): \ 7x+28}$

$\bold{5x-10=7x+28}$

Add 10 To Both Sides

$\bold{5x=7x+38}$

Subtract 7x From Both Sides

$\bold{5x-7x=7x+38-7x}$

Simplify

$\bold{-2x=38}$

Divide Both Sides By -2

$\bold{\frac{-2x}{-2}=\frac{38}{-2}}$

Simplify

$\bold{x=-19}$

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Suppose the supply curve of portable radio rentals in Golden Gate Park is given by P = 5 + 0.1Q, where P is the daily rent per u

Tasya [4]

Answer:

10 or 1000 in hundreds of units

Step-by-step explanation:

Given the supply curve of portable radio rentals:

$P = 5 + 0.1Q$

and the demand curve for portable radio rentals:

$P = 20 - 0.2Q$

we need to find the equilibrium of these two curves ( replace either's right hand side on the other's left hand side)

we have:

$20 - 0.2Q = 5 + 0.1Q$

solving we have $Q=50$ or $5000$ in hundreds of units

Now the noise is equal to 3, therefore, we have to find the social supply curve by adding 3 to the first supply curve. following:

$P = 8 + 0.1Q$

We find the intersection bewteen the social supply curve and the demand curve ( social equilibrium rental ):

$20 - 0.2Q = 8 + 0.1Q$

Which gives $Q=40$ or $4000$ in hundreds of units.

Now that we integrated the noise into our considerations, the equilibrium rental exceeds the social equilibrium rental by 10 (50-40) (1000 in hundreds of units)

7 0

3 years ago

X^2+x-5=0nsolve using the quadratic formula

Dennis_Churaev [7]

Answer:

57776esae r esspustae

Step-by-step explanation:

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3 years ago

Find the distance between the points (-10,-7) and (2,9).

soldier1979 [14.2K]

20 (units)

Distance formula is:

Sqrt of (x-x1)^2+(y-y1)^2

So define which coordinate is (x,y) and what (x1,y1)

I’m going to define (-10,-7) as (x,y) and (2,9) as (x1,y1)

So plug in your variables!

Sqrt(-10-2)^2+(-7-9)^2

Sqrt-12^2+-16^2

Sqrt144+256

Sqrt400

So sqrt of 400 is 20! :))

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2 years ago

The manufacturer's price for a cooler is $28.50 A camping store that buys the coolers sells them for $40.76 What is the approxim

Nutka1998 [239]

The percent of the increase is

$I=\frac{N-O}{O}\times100$

I is the increasing value

N is the new value

O is the original value

The price of the cooler is $28.50, then

O = 28.50

The selling price of the cooler is $40.76, then

N = 40.76

We will substitute them in the rule above to find I

$I=\frac{40.76-28.50}{28.50}\times100$

Let us calculate it

I = 43.0175 %

Round it to the nearest percent

I = 43%

The answer is D

6 0

1 year ago

Find the value of x in each case:

kotykmax [81]

9514 1404 393

Answer:

x = 14°

Step-by-step explanation:

The triangle's interior angle at C is the supplement of the exterior angle marked 124°.

C = 180° -124° = 56°

The exterior angle at B is the sum of the remote interior angles:

6x = 56° +2x

4x = 56° . . . . . . subtract 2x

x = 14° . . . . . . . . divide by 4

6 0

2 years ago