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4 years ago

Please can someone help me out?

Mathematics

2 answers:

fredd [130]4 years ago

8 0

Answer: 31?

Step-by-step explanation:

zaharov [31]4 years ago

8 0

the answer is 15

Step-by-step explanation:

you add all of the numbers that's what my teacher said

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a 16 inch wire is to be cut. one piece is to be bent into the shape of a square, whereas the other piece is to be bent into the

Lyrx [107]

1. Let x be a length of square side, then the square perimeter is 4x (you need to cut 4x from 16 in. to make a square with side x in.). Then 16-4x is remained length of wire and you have to make form this piece a rectangle with sides one of which is twice bigger than another. If y is length of the smaller side, then 2y is length of the bigger side and rectangle perimeter is y+2y+y+2y=6y. You have 16-4x in. of wire left, so 6y=16-4x and $y= \frac{16-4x}{6}$ .

2.
$A_{square}=x^2 \\ A_{rectangle}=y\cdot 2y=\frac{16-4x}{6}\cdot2\cdot\frac{16-4x}{6}= \frac{(16-4x)^2}{18} \\ A(x)=A_{square}+A_{rectangle}=x^2+\frac{(16-4x)^2}{18}$ .

3. Find the derivative of the function A(x):
$A'(x)=2x+ \dfrac{2(16-4x)\cdot(-4)}{18} =2x- \dfrac{4(16-4x )}{9}$ .

4. Solve the equation A'(x)=0:
$2x- \dfrac{4(16-4x )}{9}=0 \\ 18x-64+16x=0 \\ 34x=64 \\ x= \frac{32}{17}$

5. Since $y= \frac{16-4x}{6}$ you have

$y= \dfrac{16-4 \frac{32}{17} }{6} = \dfrac{16\cdot17-4\cdot32}{6\cdot 17} = \dfrac{24}{17}$ .

Answer: the width of the rectangle is $\frac{24}{17}$

6 0

4 years ago

A local bake shop sells cookies and cakes.On monday , sean bought 3 cookies and 5 cakes and spent $78.75 on tuesday , sean bough

Bond [772]

Answer:

The price of one cookie is $1.25 and the price of one cake is $15.

Step-by-step explanation:

Let $x be the price of one cookie and $y be the price of one cake.

1. On Monday, Sean bought 3 cookies and 5 cakes, then he spent $(3x+5y) and this is $78.75. Thus,

$3x+5y=78.75.$

2. On Tuesday, Sean bought 8 cookies and 2 cakes, then he spent $(8x+2y) and this is $40. Thus,

$8x+2y=40.$

3. Solve the system of two equations:

$\left\{\begin{array}{l}3x+5y=78.75\\8x+2y=40\end{array}\right.$

Multiply the first equation by 2 and the second equation by 5 and subtract them:

$2(3x+5y)-5(8x+2y)=2\cdot 78.75-5\cdot 40,\\ \\6x+10y-40x-10y=157.5-200,\\ \\-34x=-42.5,\\ \\x=\$1.25.$

Then

$8\cdot 1.25+2y=40,\\ \\2y=40-10,\\ \\y=\$15.$

8 0

3 years ago

7. Find the measure of <1. is 89, measur 105

Kazeer [188]

Answer:

where is the diagram? please provide a diagram.

5 0

3 years ago

I need to try and find the area.

Drupady [299]

Answer:

The answer is 32 square yards.

Step-by-step explanation: The formula for the area of a triangle is 1/2(b*h), which is one-half of the base multiplied by the height. 8 times 8 is 64. 64 divided by 2 is 32.

5 0

2 years ago

Days People

Snezhnost [94]

The answer is C) 10 days

8 0

3 years ago

Read 2 more answers

Please can someone help me out? ​

Please can someone help me out?