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laiz [17]
3 years ago
6

a rectangle has a perimeter of 88cm. if the height is three times the length of the width what are the dimensions of the rectang

le
Mathematics
1 answer:
fredd [130]3 years ago
5 0

Answer:

P=88. L=3w

P= 2(w)+2(L)

Then substitute the values into the equation

88=2w+2(3w)

Then solve for w and its length which is 3w

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Dazuri saw the following advertisement at a sports store how much does each soccer ball cost
Nadusha1986 [10]

Based on the advertisement seen by Dazuri, the cost of each soccer ball is $22.50

<h3>How to find the cost?</h3>

The advertisement says that the original cost of the ball is $30 but there is a 25% discount.

The price of each soccer ball is therefore reduced by the 25% discount on the ball.

The amount that each soccer ball costs is therefore:
= 30 - ( 30 x 25%)

= 30 - 7.5

= $22.50

Rest of the question is:
Soccer balls on sale at a 25% discount. Prices go back to $30 in a week. Don't miss out.

Find out more on cost of soccer ball at brainly.com/question/2227883

#SPJ1

4 0
2 years ago
Solve the following differential equation: (2x+5y)dx+(5x−4y)dy=0 *Hint: they are exact<br><br> C=.
Tpy6a [65]

Answer with Step-by-step explanation:

The given differential equation is

(2x+5y)dx+(5x-4y)dy=0

Now the above differential equation can be re-written as

P(x,y)dx+Q(x,y)dy=0

Checking for exactness we should have

\frac{\partial P}{\partial y}=\frac{\partial Q}{\partial x}

\frac{\partial P}{\partial y}=\frac{\partial (2x+5y)}{\partial y}=5

\frac{\partial Q}{\partial x}=\frac{\partial (5x-4y)}{\partial x}=5

As we see that the 2 values are equal thus we conclude that the given differential equation is exact

The solution of exact differential equation is given by

u(x,y)=\int P(x,y)dx+\phi(y)\\\\u(x,y)=\int (2x+5y)dx+\phi (y)\\\\u(x,y)=x^2+5xy+\phi (y)

The value of \phi (y) can be obtained by differentiating u(x,y) partially with respect to 'y' and equating the result with P(x,y)

\frac{\partial u}{\partial y}=\frac{\partial (x^2+5xy+\phi (y)))}{\partial y}=Q(x,y))\\\\5y+\phi '(y)=(5x-4y)\\\\\phi '(y)=5x-9y\\\\\int\phi '(y)\partial y=\int (5x-9y)\partial y\\\\\phi (y)=5xy-\frac{9y^2}{2}\\\\\therefore u(x,y)=x^2+10xy-\frac{9y^2}{2}+c

5 0
3 years ago
Solve the inequality 2x – 5 &gt; 7
ziro4ka [17]
<span>2x – 5 > 7 
Add 5 to both sides
2x > 12
Divide 2 on both sides
Final Answer: x > 6</span>
7 0
3 years ago
An employee worked 36 hours last week. This week, she worked 48 hours. Find the percent increase. Round to the nearest percent.
ioda

Answer:

There was a 25% increase.

Step-by-step explanation:

6 0
3 years ago
Need help. and original answer
siniylev [52]

The inequality written in interval notation is therefore -4<x<-1  or (-4, -1)

<h3 /><h3>What are inequalities?</h3>

Inequalities are expressions separated by the mathematical inequalities ≤, ≥, < and >

For instance a < b is a form of inequality.

<h3>What is a number line?</h3>

A number line is a line on which numbers are marked at intervals, used to illustrate simple numerical operations.

From the given number line, we can see that closed circles are on -4 and -1. The inequality written in interval notation is therefore -4<x<-1  or (-4, -1)

Learn more on inequality here: brainly.com/question/24372553

#SPJ1

7 0
2 years ago
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