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2 years ago

A number is 8 more than 32. Find the number. Let n = number. write the equation

Mathematics

1 answer:

Butoxors [25]2 years ago

7 0

<span>Let n = number

n = 32 + 8
n = 40</span>

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el deposito de gasolina en una estacion de servicio alcanza para 5 dias si se venden 1400 galones diarios ¿cuantos galones diari

earnstyle [38]

Answer:

u should put this also in English then type it in so it will translate

5 0

2 years ago

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

Write a unit rate for the situation. $1.98 for 6 bananas

USPshnik [31]

A unit rate is when you find a rate when one variable (or value) is equal to one.

Let's find the unit rate for the price of the bananas.

1.98/6= 0.33

It is 33 cents for one banana. That is the unit rate.

I hope this helps!
~kaikers

4 0

2 years ago

What is the product 4n/4n-4 n-1/n+1

olga_2 [115]

4n/4n-4 × n-1/n+1
= 4n(n-1)/(4n-4)(n+1)
= (4n^2 - 4n)/(4n^2 + 4n - 4n-4)
= (4n^2 - 4n)/(4n^2 - 4)
= 4(n^2 - n)/4(n^2 - 1)
=(n^2 - n)/(n^2 - 1)

5 0

3 years ago

Please help me with this question

iris [78.8K]

$A= \pi r^2 \ \ \ and \ \ \ C=2 \pi r \ \ \ \ \to \\ \\ \cfrac{\pi r^2 }{2 \pi r}= \cfrac{22}{1} \ \ \ \ \to \ \ \ \ \ \cfrac{ r }{ 2}= \cfrac{22}{1} \ \ \ \ \to \ \ \ \ \ r=22*2=44 \ cm \\ \\ \\ C=2 \pi r=2*3.14*44=276.32 \ cm$

Answer is 276.32 cm

6 0

2 years ago