All categories

3 years ago

Here’s a rather interesante one:

Mathematics

1 answer:

alexdok [17]3 years ago

6 0

Answer:

I'm a little confused....is the $17.99 the price you saved?

You might be interested in

8. MOVIE TICKETS Tickets to a movie cost $25 for adults and 5.50 formodents A group of friends purchased 8 tickets for $52.75 a

icang [17]

Answer and Step-by-step explanation:

$\left \{ {{25x+5.50y=52.75} \atop {x+y=8}} \right.$

5 0

3 years ago

Simplify 7(x+3) I am in 7th grade

Marina86 [1]

7(x+3)
= 7x+ 7*3 (distributive property)
= 7x+ 21.

The final answer is 7x+21~

5 0

4 years ago

Read 2 more answers

A farmer finds that if she plants 100 trees per acre, each tree will yield 35 bushels of fruit. She estimates that for each addi

castortr0y [4]

Answer:

126 trees should she plant per acre to maximize her harvest.

Step-by-step explanation:

Let x be the additional tress that must be plant after planting 100 tress.

So, total number of trees = 100 + x trees

Also, Each additional tree planted decreases the yield of each tree by 3 bushels.

So , net bushels by each tree = 35 - 3x

The revenue function becomes

f(x) = (100 + x)(35 - 3x)

Thus,

Differentiating it by using chain rule as:

f'(x) = (100 + x)35 + 100(35 - 3x)

f'(x) = 3500 + 35x + 3500 - 300x

f'(x) = 7000 - 265x

For maxima of f(x), f'(x) = 0

7000 - 265x = 0

Thus,

x = 26.4151

Since, x represents tress, so, x is 26.

So, total tress she would plant to earn maximum revenue = 100 + 26 = 126 trees

3 0

3 years ago

The area of a rectangle is 252 cm², and the length is 3 less than 2 times the width. Find the dimensions of the rectangle.

SSSSS [86.1K]

Answer:

21cm, 12cm

Step-by-step explanation:

width=x cm

length=2x-3 cm

area= 252cm²

l*b= 252 cm²

(2x-3)(x)=252

2x²-3x= 252

this is how I did it

we need to find the nearest square of the number (it should be lesser than the area)

that is 225, whose square root is 15.

since there is a coefficient to the x², the value of x would be calculate like this 15- (2+1)= 15-3 = 12

x= 12

we can verify it too,

2*(12)² - 3*12=252

288-36=252

252=252

therefore width is 12 cm and width is 2*12-3= 24-3= 21 cm

verify;

21*12= 252

252=252

hence the dimensions are 12 am (width) and 21 cm(length).

3 0

3 years ago

Solve the system of equations (1 point) y = 2x(squared) – 3 y = 3x - 1

alex41 [277]

$\huge\fcolorbox{blue}{aqua}{Answer:}$

════════════════════

$y = {2x}^{2} - 3$

${2x}^{2} - 3 = y$

${2x}^{2} = y + 3$

$\frac{2x^{2}} {2} = \frac{y + 3}{2}$

${x}^{2} = \frac{y + 3}{2}$

$x = \sqrt \frac{2y + 6}{2}$

───────────────────

$y = 3x - 1$

$3x - 1 = y$

$3x = y + 1$

$\frac{3x}{3} = \frac{y+1}{3}$

$x = \frac{y + 1}{3}$

═══════════════════

Explanation:

#Carry on learning

7 0

2 years ago