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3 years ago

The difference of two numbers is less than the greater number

2 answers:

8 0

The way you have it worded doesn't make much sense, but the difference of two numbers is less than ---> (x-y) < ? , where the question mark is "the greater number

kirill115 [55]3 years ago

3 0

Sorry, i dont understand...

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Solve by elimination x-5y=35 and 3x-6y=51

IrinaVladis [17]

Answer: x=5 y=-6

(5,-6)

Step-by-step explanation:

Solve by elimination

$\begin{bmatrix}x-5y=35\\ 3x-6y=51\end{bmatrix}$

multiply x-5y=35 by 3

= 3x-15y=105

$\begin{bmatrix}3x-15y=105\\ 3x-6y=51\end{bmatrix}$

$3x-6y=51$

- $\underline{3x-15y=105}$

$9y=-54$

divide 9 on both sides

y= -6

Now solve for x

you must plug in -6 for y in either equations

i plugged in -6 for y in 3x-15y=105

$3x-15\left(-6\right)=105$

$3x+15\cdot \:6=105$

$15\cdot \:6=90$

$3x+90=105$

subtract 90 on both sides

$3x=15$

$\frac{3x}{3}=\frac{15}{3}$

$x=5$

Please mark brainliest

3 0

4 years ago

Read 2 more answers

A carpentry shop currently sells 66000 decoy ducks per year at a cost of 16 dollars each. In the previous year when they raised

Rus_ich [418]

Answer:

19 dollars

Step-by-step explanation:

<h2>Buckle up! This is a good one!</h2>

First we have to find the line that goes trough the two points. And it has the form :

$y=mx+b$

<em>m is often called the slope.</em>

Given the two points (66000, 16) and (51000, 21) we find m with this formula:

$m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\\m=\frac{21-16}{51000-66000} \\m=-\frac{5}{15000} \\m=-\frac{1}{3000}$

We pick the point (51000,21) and plug it into the equation of the line and we find b:

$y= mx + b\\21=(-\frac{1}{3000} )(51000)+b\\21=-17+b\\21+17=b=38$

<h3>And we have got our line equation</h3>

$y= -\frac{1}{3000}x + 38\\$

<u>Where x represents the quantity and y represents the price.</u>

<u />

<h2>The revenue</h2>

The revenue is price times quantity, since price is y and quantity is x, we get

$y=-\frac{1}{3000} x+38\\y*x=x*(-\frac{1}{3000} x+38)\\yx=-\frac{1}{3000} x^2+38x\\R(x)=-\frac{1}{3000} x^2+38x$

<h3>to maximize the revenue, we get the first derivative:</h3>

$R(x)=-\frac{1}{3000} x^2+38x\\R'(x)=-(2)\frac{1}{3000} x+38\\R'(x)=-\frac{2}{3000} x+38\\\\R'(x)=-\frac{1}{1500} x+38\\\\$

$R'(x)=-\frac{1}{1500} x+38=0\\38=\frac{1}{1500} x\\38*1500=x=57000$

So the quantity that maximizes revenue is 57000,

<h3>let's find out the price by plugging it into the equation:</h3>

$y= -\frac{1}{3000}x + 38\\y= -\frac{1}{3000}(57000) + 38\\y= -19 + 38\\y=19$

<h2>And there you go! 19 dollars is the price the carpentry shop should charge per decoy duck.</h2>

7 0

3 years ago

The perimeter of a square is 4 times as great as the lenght of any of its sides. Determine if the perimeter of a square is propo

egoroff_w [7]

P= 4 times L so yes

3 0

3 years ago

I need to know this answer to this question "Compare 7 in 473?"

lesya [120]

Just divide 7/473 you should get your answer

3 0

4 years ago

A man walks 10 miles In xhours. How far does he walk in one hour?

musickatia [10]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers