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2 years ago

15

What is the solution to 2(3x+4)=20

2 answers:

vagabundo [1.1K]2 years ago

4 0

Answer: X=2

Step-by-step explanation: you want to distribute the 2 to the 3x and 4. That will give you 6x+8 now you want to subtract 8 from both sides. That will give you 6x=12 and you divide both sides by 6 and your final answer should be X=2. :)

Elena L [17]2 years ago

3 0

Answer:

x=36

Step-by-step explanation:

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A farmer has 520 feet of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one s

Setler [38]

Answer:

$310\text{ feet and }210\text{ feet}$

Step-by-step explanation:

GIVEN: A farmer has $520 \text{ feet}$ of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is $310 \text{ feet}$ .

TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.

SOLUTION:

Let the length of rectangle be $x$ and $y$

perimeter of rectangular pen $=2(x+y)=520\text{ feet}$

$x+y=260$

$y=260-x$

area of rectangular pen $=\text{length}\times\text{width}$

$=xy$

putting value of $y$

$=x(260-x)$

$=260x-x^2$

to maximize $\frac{d \text{(area)}}{dx}=0$

$260-2x=0$

$x=130\text{ feet}$

$y=390\text{ feet}$

but the dimensions must be lesser or equal to than that of barn.

therefore maximum length rectangular pen $=310\text{ feet}$

width of rectangular pen $=210\text{ feet}$

Maximum area of rectangular pen $=310\times210=65100\text{ feet}^2$

Hence maximum area of rectangular pen is $65100\text{ feet}^2$ and dimensions are $310\text{ feet and }210\text{ feet}$

5 0

2 years ago

Simplify 15 to the 18th power over 15 to the 3rd power.

worty [1.4K]

The rule for quotients of similar bases with different exponents is:

(a^c)/(a^b)=a^(c-b) in this case:

15^18/(15^3)=15^15

3 0

2 years ago

You have lunch at an Italian restaurant. The cost of lunch before tax is

coldgirl [10]

7/100 = 0.07

0.07 * 12.5 = 0.88

20/100 = 0.2

0.2 * 12.5 = 2.5

2.5 + 0.88 = 3.38

3.38 + 12.50 = 15.88

You spend a total of $15.88.

4 0

2 years ago

Read 2 more answers

Can you simplify 45/99

sattari [20]

The answer is 2.2 , you divide 99/45

8 0

2 years ago

Read 2 more answers

Suppose y varies directly with x, and y = -4 when x = 25. What is x when y = 10? SHOW ALL YOUR WORK HERE OR YOU WON'T GET CREDIT

Stolb23 [73]

Answer:

x = -62.5

Step-by-step explanation:

y = kx

-4 = k(25)

k = -4/25

y = (-4/25)x

10 = (-4/25)x

x = 10 × 25/-4

x = -62.5

6 0

2 years ago