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3 years ago

Help ill mark brainlest :) PLEASE HELPPP

Mathematics

2 answers:

Pavel [41]3 years ago

5 0

Answer:

412 cm2

Step-by-step explanation:

Yuri [45]3 years ago

3 0

Answer:

i have no exact idea but i wil still get five exta points

Step-by-step explanation:

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Vanyuwa [196]

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3 years ago

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The cost of 6 sandwiches and 4 drinks is $53. The code of 4 sandwiches and 6 drinks is $47. How much does one sandwich cost?

Annette [7]

Answer:

$6.50

Step-by-step explanation:

SET UP A SYSTEM OF EQUATIONS WHERE SANDWHICHES IS REPRESENTED BY S AND DRINKS BY D:

6S+4D = 53

4S+6D=47

ADD THEM TOGETHER

10S+10D=100

SOLVE FOR D

10D = 100 - 10S

D = 10-S

SUBSTITUTE THAT VALUE INTO ONE OF THE ORIGINAL EQUATIONS

4S + 6(10-S) = 47

4S + 60 - 6S = 47

COMBINE LIKE TERMS

-2S + 60 = 47

SUBTRACT 60 FROM BOTH SIDES

-2S = -13

DIVIDE BY -2

S = 13/2

S = $6.50

4 0

3 years ago

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a rectangular dog kennel is to be constructed alongside a house with 60m of fencing. If the house serves as one side of the kenn

Basile [38]

Answer:

$450\text{ m}^2$ .

Step-by-step explanation:

Let x represent side of kennel opposite to house and y represent other sides.

We have been given that a rectangular dog kennel is to be constructed alongside a house with 60 m of fencing.

Since fencing will cover 3 sides of kennel, so perimeter of kennel would be:

$x+y+y=60$

$x+2y=60$

Let us solve for x.

$x+2y-2y=60-2y$

$x=60-2y$

The area of the kennel would be product of its sides that is:

$\text{Area}=x\cdot y$

Now, we will substitute $x=60-2y$ in area equation as:

$A(y)=(60-2y)\cdot y$

$A(y)=60y-2y^2$

Let us find the derivative as shown below:

$A'(y)=60-4y$

Now, we will set derivative equal to 0 and solve for y.

$60-4y=0$

$60=4y$

$\frac{60}{4}=\frac{4y}{4}$

$y=15$

Upon substituting $y=15$ in area function, we will greatest possible area.

$A(y)=60y-2y^2$

$A(15)=60(15)-2(15)^2$

$A(15)=900-2(225)$

$A(15)=900-450$

$A(y)=450$

Therefore, the greatest possible area that can be enclosed by 60 m of fencing is 450 square meters.

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3 years ago

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