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4 years ago

14

An owner of a small store knows that in the last week 54 customers paid with cash, 42 paid with a debit card, and 153 paid with

a credit card. Based on a number of costumers from last week, which fraction is closest to the probability that the next customer will pay with cash

1 answer:

damaskus [11]4 years ago

3 0

Answer:

54/249 or

0.2168674

Step-by-step explanation:

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sattari [20]

The answer is 14 and 42

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3 years ago

Xander purchased 10 equally priced DVDs online. He paid $250, which included shipping. Which statements are true? Mark all that

artcher [175]

Xander paid $25 per CD plus shipping.

3 0

4 years ago

An operator in the plant has a monthly salary of $2575. Thirty three percent (33%) of her salary is deducted for income tax.

loris [4]

33% of the salary = (33/100) * 2575
= 849.75

So the income tax = 849.75 dollars

6 0

4 years ago

The sum of five consecutive numbers is 700, what is the first number?

Feliz [49]

Answer:

The first number is 138.

Step-by-step explanation:

Let the first number be <em>x.</em>

<em />

Then since they are consecutive numbers, the second number will be (<em>x</em> + 1), the third (<em>x</em> + 2), the fourth (<em>x</em> + 3) and the fifth being (<em>x</em> + 4).

We are given that their sum is 700. Therefore:

$x+(x+1)+(x+2)+(x+3)+(x+4)=700$

Solve for <em>x</em>. Combine like terms:

$5x+10=700$

Subtract 10 from both sides:

$5x=690$

Divide both sides by five. Therefore:

$x=138$

The first number is 138.

5 0

3 years ago

Read 2 more answers

The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm. The area of printed material on the po

grin007 [14]

Answer:

Dimensions of printed poster are

length is 32 cm

width is 48 cm

Step-by-step explanation:

Let's assume

length of printed poster is x cm

width of printed poster is y cm

now, we can find area of printed poster

so, area of printed poster is

$=xy$

we are given that area as 1536

so, we can set it to 1536

$xy=1536$

now, we can solve for y

$y=\frac{1536}{x}$

now, we are given

The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm

so, total area of poster is

$A=(8+x+8)\times (12+y+12)$

$A=(x+16)\times (y+24)$

now, we can plug back y

$A=(x+16)\times (\frac{1536}{x}+24)$

now, we have to minimize A

so, we will find derivative

$A'=\frac{d}{dx}\left(\left(x+16\right)\left(\frac{1536}{x}+24\right)\right)$

we can use product rule

$A'=\frac{d}{dx}\left(x+16\right)\left(\frac{1536}{x}+24\right)+\frac{d}{dx}\left(\frac{1536}{x}+24\right)\left(x+16\right)$

$=\frac{d}{dx}\left(x+16\right)\left(\frac{1536}{x}+24\right)+\frac{d}{dx}\left(\frac{1536}{x}+24\right)\left(x+16\right)$

now, we can simplify it

$A'=-\frac{24576}{x^2}+24$

now, we can set it to 0

and then we can solve for x

$A'=-\frac{24576}{x^2}+24=0$

$-\frac{24576}{x^2}x^2+24x^2=0\cdot \:x^2$

$-24576+24x^2=0$

$x=32,\:x=-32$

Since, x is dimension

and dimension can never be negative

so, we will only consider positive value

$x=32$

now, we can solve for y

$y=\frac{1536}{32}$

$y=48$

so, dimensions of printed poster are

length is 32 cm

width is 48 cm

5 0

3 years ago