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Bond [772]
2 years ago
7

The length of a rectangular playing field is 5m longer than its width. If the perimeter of the field is 150m,find it's width​

Mathematics
2 answers:
Inessa05 [86]2 years ago
5 0

Answer:

35

Step-by-step explanation:

Make equations, l = w+5 and 2l + 2w = 150

Substitute w+5 into 2l + 2w = 150

Simplify to get 4w + 10 = 150

Subtract 10 from both sides to get 4w = 140

Divide both sides by 4 and you get 35 as width

VikaD [51]2 years ago
5 0

Answer:

The width of the field is 35 meters.

Step-by-step explanation:

Recall that the perimeter of a rectangle is given by:

\displaystyle P = 2(w+\ell)

Where <em>w</em> is the width and <em>l</em> is the length of the rectangle.

We know that the perimeter is 150 meters. Thus:

150=2(w+\ell)

Divide both sides by two:

75=w+\ell

We are given that the length is five meters longer than the width. So:

\ell = w+5

Substitute:

75=w+(w+5)

Combine like terms:

75=2w+5

Subtract five from both sides:

70=2w

And divide both sides by two. Hence:

w=35

Thus, the width of the rectangular field is 35 meters.

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Solve this system of equations using elimination with multiplication
romanna [79]

Answer:

Step-by-step explanation:

3x - 4y = -11

x - 2y = -5

Compare the coefficients of the variables.

The coefficients of the x terms, 3 and 1, are multiples of each other.

The coefficients of the y terms, -4 and -2, are also multiples of each other.

That makes it easy to eliminate either variable.

I'll eliminate the y variables. Multiply the second equation by -2, then add it to the first equation:

₋-2x + 4y = 10

 3x - 4y = -11

--------------------

 x + 0y = -1 ,  so x = -1.

Substitute -1 for x in either equation and solve for y:

3(-1) - 4y = -11

y = 2

(x,y) = (-1, 2)

5 0
2 years ago
D
Gekata [30.6K]

Answer:

x=150°

Step-by-step explanation:

angle FEB is the same with angle AEG

6 0
2 years ago
Jezebel is planning a party at the skating rink. The cost for each person attending is $3.50 for skate rental and $5.00 for food
SashulF [63]

Answer:

The inequality that could be used is 8.50p≤300 and the greatest number of people that can attend is 35.

Step-by-step explanation:

From the information provided, you can write an inequality where total cost for people attending at the party should be less than or equal to $300:

3.50p+5.00p≤300

8.50p≤300

Now, you can solve for p:

p≤300/8.50

p≤35

According to this, the answer is that the inequality that could be used is 8.50p≤300 and the greatest number of people that can attend is 35.

4 0
3 years ago
*^%Brainliest 15 pounds Question 5 (2 points)
galben [10]

Answer:

0

Step-by-step explanation:

Separate into two parts

\frac{4xy^{3} }{2xy^{2} }  +  \frac{8x^{2} {y}^{5} }{2x {y}^{2} }

Simplify:

This is for the first fraction

\frac{4x {y}^{3} }{2x {y}^{2} }  = (4 \div 2)(x \div x)( {y}^{3}  \div  {y}^{2} )

2(1)( {y}^{3 - 2} )

2{y}

Now for the second fraction:

\frac{8 {x}^{2} {y}^{3}  }{2x {y}^{2} }  = ( 8 \div 2)( {x}^{2}  \div x)( {y}^{5}   \div   {y}^{2} )

4( {x}^{2 - 1} )( {y}^{5 - 2} )

4x {y}^{3}

Add both parts together

2y + 4x {y}^{3}

To turn this into the said formula, that would become:

2 {x}^{0}  {y}^{1}  + 4 {x}^{1}  {y}^{3}

Where:

a=0

b=1

c=1

d=3

Any value with an exponent 0 except zero will be equal to 1

4 0
3 years ago
Can someone explain this to me?<br><br> Please solve step by step. I don't know how to do this.
ololo11 [35]
Given,


y = -3x+1 (EQ1)
y = 2x-4 (EQ2)


Equate EQ1 and EQ2

EQ1 = EQ2
-3x+1 = 2x-4
-3x-2x = -4-1
x = 1

y = -3x+1
y = -3(1)+1
y = -3+1
y = -2

(1, -2)
~B

6 0
3 years ago
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