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3 years ago

Help! I don't understand this question.

Mathematics

1 answer:

yan [13]3 years ago

8 0

Answer:

I help u to find x

sln

<COE+ <AOE+ < DOA=180(because straight angle)

x+46+90=180

x+136=180

x=44

the angle ×=44

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An open topped box is constructed as follows: A 24 in. x 24 in. square bottom has four identical squares cut off at each corner.

Arte-miy333 [17]

Answer:

Step-by-step explanation:

Given

square bottom area is $24\times 24\ in.^2$

Suppose x in. is cut from each corner to make a open box with maximum volume

New base area is $(24-x)\times (24-x) in.^2$

Volume of box

$V=(24-x)^2\times x$

Differentiate V w.r.t x to get maximum volume

$\frac{\mathrm{d} V}{\mathrm{d} x}=2\cdot (24-x)(-1)+1\cdot (24-x)^2$

Put $\frac{\mathrm{d} V}{\mathrm{d} x}=0$

$\left ( 24-x\right )\left [ -2x+24-x\right ]=0$

$\left ( 24-x\right )\left [ 24-3x\right ]=0$

$x=24,8$

but x=24 is not possible therefore x=8 will yield maximum volume

$V=(24-8)^2\cdot 8=2048\ in.^2$

7 0

3 years ago

Complete the conditional statement if -2 a>6 then A. A>3 B. A <3 C. A <-3

shutvik [7]

The correct answer is C.) A < -3
 
I would have explained why, but I have to go.

8 0

3 years ago

A movie Theater charges $6.50 for morning tickets and $8.75 for night tickets the theater sold 378 tickets for a total amount of

Xelga [282]

Answer:

The number of sold morning tickets are 168.

Step-by-step explanation:

Given,

Total number of tickets = 378

Total earned amount = $2929.50

Charge of each morning ticket = $6.50

Charge of each night ticket = $8.75

Solution,

Let the number of morning tickets be 'x'.

And also let the number of night tickets be 'y'.

So, the total number of tickets is the sum of number of morning tickets and number of evening tickets.

So, framing in equation form, we get;

$x+y=378\ \ \ \ equation\ 1$

Again, Total earned amount is the sum of number of morning tickets multiplied with charge of each ticket and number of evening tickets multiplied with charge of each ticket.

So, framing in equation form, we get;

$6.50x+8.75y=2929.50\ \ \ equation\ 2$

On multiplying equation 2 by 100 on both side, we get;

$100(6.50x+8.75y)=2929.50\times100\\\\650x+875y=292950\ \ \ \ equation\ 3$

Now multiplying equation 1 by '650', we get;

$650(x+y)=378\times650\\\\650x+650y=245700\ \ \ \ equation\ 4$

Now subtracting equation 4 from equation 3, we get;

$(650x+875y)-(650x+650y)=292950-245700\\\\650x+875y-650x-650y=47250\\\\225y=47250\\\\y=\frac{47250}{225}=210$

Now substituting the value of'y' in equation 1, we get;

$x+y=378\\\\x+210=378\\\\x=378-210=168$

Hence The number of sold morning tickets are 168.

Whereas The number of sold night tickets are 210.

5 0

3 years ago

Please Help!!!

DochEvi [55]

Sally earns per hour = $12

Sally works for in a week = 16 hours.

So, Sally earns in a week = $12\times16=192$

Sally can save money each week= 20% of 192

$\frac{20}{100}\times192=38.40$

A. How much does she earn each week ? Sally earns $192 in a week.

B. How much money will she save each week? Sally will save $38.40 each week.

C. How much money will she save each month (assume there are 4.3 weeks in a month)

Savings of 1 week = $ 38.40

Savings of 4.3 weeks = $4.3\times38.40=165.12$

Hence, she will save $165.12 in a month.

D. How many months will it take her to save the money?

Total money needed = $1800

Number of months needed to collect this amount =

$\frac{1800}{165.12}=10.90$

Hence, it will take 11 months approx to save $1800.

5 0

3 years ago

30 Points and will mark brainliest: Bruce has $1200 in the bank. He wants to Save a total of $3000 by depositing $40 per week fr

vazorg [7]

B looks about right.

7 0

3 years ago