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Alenkasestr [34]

3 years ago

14

A kid’s bicycle costs $110.00 at a department store, who is offering a 15% off coupon. Determine the final price of the bike aft

er both the discount and 6.25% sales tax.

1 answer:

agasfer [191]3 years ago

3 0

Answer:

<h3>100.375</h3>

Step-by-step explanation:

so 110

110/100=1.1

*15

16.5

16.5 dollar coupon

ok then sales tax

1.1*6.25

6.875

sales tax is 6.875

110-16.5

93.5

93.5+sales tax 6.875

100.375

final price 100.375

hope this helps!!

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The cost of a service call to fix a washing machine can be expressed by the linear function y = 45 x + 35, where y represents th

katovenus [111]

Answer:

the slope represents the cost for each hour it takes to repair the machine.Step-by-step Answer:

We are given that the cost of a service call to fix a washing machine can be expressed by the linear function

Where

y=Total cost of a service to fix the machine.

x=Number of hours takes to fix the machine

We have to find that slope in this function what represents.

General equation of line is given by

Where m=Slope of line

c=y- intercept

Comparing the general equation with the given function

We get m=45,c=35

m=45 represents the cost for each hour it takes to repair the machine because when number of hours multiplied by 45 then we get total cost of x hours.

Hence, the slope represents the cost for each hour it takes to repair the machine.

8 0

3 years ago

Read 2 more answers

Clara created the poster shown below:

lana66690 [7]

Answer:

$length=4\ cm\\width=6\ cm$

Step-by-step explanation:

Given the rectangular poster shown in the picture, you know that its dimensions (its width and its lenght) are:

$w_1=24\ cm\\l_1=16\ cm$

In order to calculate the dimensions of the rectangular at $\frac{1}{4}$ times its current size, you need to multiply the original lenght by $\frac{1}{4}$ and multiply the original width by $\frac{1}{4}$ .

Knowing this, you get:

$w_2=w_1\frac{1}{4}\\\\w_2=(24\ cm)(\frac{1}{4})\\\\w_2=6\ cm\\\\\\l_2=l_1\frac{1}{4}\\\\l_2=(16\ cm)(\frac{1}{4})\\\\l_2=4\ cm$

6 0

3 years ago

Makaila read 44 pages of her book yesterday and 2/3 of the book today. If she read a total of 200 pages in the past two days how

pogonyaev

Answer:

Total number of pages in the book is 234.

Step-by-step explanation:

Let us assume that the total number of pages in the book = <em>x</em>

Now, it is given that Makaila read 44 pages yesterday.

Also, Makaila read two-third of the book today. As we have assumed that, there are a total of x number of pages in the book, so we can say that Makaila read two-third of <em>x </em>number of pages today.

Number of pages read by Makaila today = $\frac{2}{3}\;of\;x=\frac{2}{3}\times\;x=\frac{2x}{3}$

Now, it is also given that, Makaila read a total of 200 pages in the past two days.

∴ according to question,

Pages read yesterday + Pages read today = 200

⇒ $44+\frac{22x}{3}=200$

⇒ $\frac{44\times3+2x}{3}=200$

⇒ $\frac{132+2x}{3}=200$

⇒ $132+2x=200\times3\;\;\;\;\;\;\;\;\;[On\;cross-multiplying]$

⇒ $132+2x=600$

⇒ $2x=600-132$

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6 0

3 years ago

A foreman for an injection-molding firm admits that on 55% of his shifts, he forgets to shut off the injection machine on his li

motikmotik

Answer:

0.8594

Step-by-step explanation:

Let a denote the event of forgetting to shut off machine and b be the event of being defective.

-A foreman forgets to shut off machine 55% of the time.

-If he forgets, 15% of molds are defective.

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#The probability that he forgot to shut off the machine is calculated as:

$P(a \ and \ b)=0.55\times 0.15\\\\=0.0825\\\\$

P(a and ~b)=0.55(1-0.15)=0.4675

P(~a and b) = (1-0.55)*0.03=0.0135

P(~a and ~b) = (1-0.55)*(1-0.03)=0.4365

#Conditional probability is defined as:

$P(a|b)=\frac{P(a \ and\ b)}{P(a)}\\\\=\frac{P(a \ and \ b)}{[(P(a \ and \ b)+P(\~a \ and \ b)}\\\\\\=\frac{0.0825}{0.0825+0.0135}\\\\\\=0.8594$

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3 years ago

Divide 6.391 Ã· 0.57. Round the quotient to the nearest hundredth.

Paul [167]

The answer is 11.21, dividing 6.391 by 0.57 will give you 11.2122807018.
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(numeral)~(decimal)~(tenths)(hundredths)(thousandths)

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3 years ago