PLEASE HELP I HAVE TO GET THIS DONE

Given:

You are given $893 in one, five, and ten dollar bills.

There are 165 bills.

There are twice as many five dollar bills as there are ones and tens combined.

To find:

How many bills of each type are there?

Solution:

Consider the number of bills of one dollars, five dollars and ten dollars are x, y and z respectively.

According to the question,

Number of bills : [tex]x+y+z=165[/tex]         ...(1)

Total amount : [tex]1x+5y+10z=893[/tex]         ...(2)

Condition : [tex]y=2(x+z)[/tex]     ...(3)

Equation (3) can be written as

[tex]\dfrac{y}{2}=x+z[/tex]       ...(4)

Substituting [tex]x+z=\dfrac{y}{2}[/tex] in (1), we get

[tex]\dfrac{y}{2}+y=165[/tex]

[tex]\dfrac{3y}{2}=165[/tex]

[tex]3y=330[/tex]

[tex]y=110[/tex]

Substituting y=110 in (4), we get

[tex]x+z=\dfrac{165}{2}[/tex]

[tex]x+z=55[/tex]

[tex]x=55-z[/tex]       ...(5)

Substituting y=110 and x=55-z in (2), we get

[tex](55-z)+5(110)+10z=893[/tex]

[tex]55-z+550+10z=893[/tex]

[tex]9z+605=893[/tex]

[tex]9z=893-605[/tex]

[tex]9z=288[/tex]

Dividing both sides by 9, we get

[tex]z=32[/tex]

Substituting z=32 in (5), we get

[tex]x=55-32[/tex]

[tex]x=23[/tex]

Therefore,

One dollar bills = 23

Five dollars bills= 110

Ten dollars bills = 32

5x+4y-8= 0

Step-by-step explanation:

Move the constant to the left change its sign

Answer:

460+65=525/35=15 15 weeks

Answer:

1/4

Step-by-step explanation:

it is 1/4  because 4 dived by 16 is 4 so it is 1/4                                                      

==============================================

Work Shown:

[tex]x = 0.\overline{4}\\\\x = 0.4444\ldots\\\\10x = 4.4444\ldots\\\\10x-x = 4.4444\ldots-0.4444\ldots\\\\9x = 4\\\\x = \frac{4}{9}\\\\\frac{4}{9} = 0.\overline{4}= 0.4444\ldots\\\\[/tex]

The idea is that when we subtract 10x and x, the infinite decimal pattern (the 4s that go on forever) will cancel. That leads to 9x = 4 which solves to x = 4/9

Answer:

70,691

Step-by-step explanation:

Answer:

[tex]\% = 11\%[/tex]

Step-by-step explanation:

Given

[tex]Initial = \$13.50[/tex]

[tex]Final = \$14.99[/tex]

Required

Determine the percentage change

This is calculated as:

[tex]\% = |\frac{Initial - Final}{Initial} * 100\%[/tex]

[tex]\% = |\frac{13.50 - 14.99}{13.50}| * 100\%[/tex]

[tex]\% = |\frac{-1.49}{13.50}| * 100\%[/tex]

[tex]\% = \frac{1.49}{13.50} * 100\%[/tex]

[tex]\% = \frac{1.49* 100\%}{13.50}[/tex]

[tex]\% = \frac{149\%}{13.50}[/tex]

[tex]\% = 11.037037037\%[/tex]

[tex]\% = 11\%[/tex]

Answer:

the answer is C. 78

Step-by-step explanation:

First, you have to add together 81, 88, 69, 65, and 87; its total is 390. The next step is to see how many numbers there are. In total there are 5 numbers. Lastly, you have to divide 390 by 5 which is 78.

Answer:

189, 567, 1701

Step-by-step explanation:

multiply each term by 3.

Answer:r/8>16

Step-by-step explanation:

r/8-16

It says 16 less, so we have to subtract 16 from r divided by 8.

That would be r/8-16.

Sum of the interior angles of any triangle equal 180° .

Thus ;

[tex]x + 2x + x + 8 = 180[/tex]

[tex]4x + 8 = 180[/tex]

Subtract sides -8

[tex]4x + 8 - 8 = 180 - 8[/tex]

[tex]4x = 172[/tex]

Divided sides by 4

[tex] \frac{4}{4}x = \frac{172}{4} \\ [/tex]

[tex]x = 43[/tex]

So the angles are :

x = 43°

2x = 2 ( 43 ) = 86°

x + 8 = 43 + 8 = 51°

Thus the order from least to greatest ,

is : 43° , 51° , and 86°

_________________________________

And we're done.....♥️♥️♥️♥️♥️

Answer:

1/18

Step-by-step explanation:

First make it so they all have the same denominator.

So...

2 3/18 - (- 48/18) + (- 4 14/18)

Then we remove parenthesis...

2 3/18 +48/18 - 4 4/18

1/18

hope this helps

brainliest?

Answer:

fafafsghdjdbdbdgsysvdve. wwmsk

Answer:

The likelihood is    [tex]P(p <  \^ p) = 0.066807[/tex]

Step-by-step explanation:

From the question we are told that  

   The population proportion is p =0.55

    The sample size is  n  =  619  

   The sample proportion is  [tex]\^ p =  0.52[/tex]

Generally the mean of the sampling distribution is  [tex]\mu_{x} =  p = 0.55[/tex]

The standard deviation is  [tex]\sigma =  \sqrt{\frac{p(1- p )}{n} }[/tex]

=>    [tex]\sigma =  \sqrt{\frac{0.55(1- 0.55 )}{619} }[/tex]

=>     [tex]\sigma =  0.02[/tex]

Generally the likelihood that  the administration have obtained a sample proportion as low as or lower than it obtained from its survey is mathematically represented as

[tex]P(p <  \^ p) =  P(\frac{p- \mu}{\sigma }  < \frac{ 0.52- 0.55}{0.02 }   )[/tex]

Generally [tex]\frac{p- \mu}{\sigma }  =  Z(The \  standardized \  value  \  of  \  p)[/tex]

=>   [tex]P(p <  \^ p) =  P(Z <-1.5  )[/tex]

From the z-table the probability of (Z <-1.5  ) is  

       [tex]P(Z <-1.5  )  = 0.066807[/tex]

So

      [tex]P(p <  \^ p) = 0.066807[/tex]

Answer:

The first and the third one are correct.

Step-by-step explanation:

Answer: 1 & 3 are proportional relationships

Answer:

2x-5y=-4

Step-by-step explanation:

No, the GCF is 3 not 1

Answer:when he was doing the multipleis of 8 he put 20 when there is no 20

Step-by-step explanation:

Answer:

The total amount a member pays for an item with a regular price of x dollars is T (x) = 0.963x.

Step-by-step explanation:

Key points:

It is provided that the customers receive a 10% discount if they are members and all customers must pay 7% in sales tax.

Two functions are provided are:

f (x) = 0.90x ; the price of an item after the 10% member discount

g (x) = 1.07x ; the total amount customers pay for a purchase after sales tax is applied.

Compute the total amount a member pays for an item with a regular price of x dollars as follows:

T (x) = Discount × Sales Tax

       = 0.90 × 1.07 × x

       = 0.963x.

Thus, the total amount a member pays for an item with a regular price of x dollars is T (x) = 0.963x.

Answer:

The y-intercept is 360 and it means that the hiking elevation will be 360 feet after 18 minutes

Answer:

same side interior for 2 and 6 i think

Answer:

Null hypothesis:

[tex]\mathbf{H_o: \mu = 444}[/tex]

Alternative hypothesis:

[tex]\mathbf{H_1: \mu < 444}[/tex]

Step-by-step explanation:

From the given information:

the population mean = 444

the sample mean = 443

number of samples = 40

standard deviation = 23

The null hypotheses and he alternative hypotheses can be computed as:

Null hypothesis:

[tex]\mathbf{H_o: \mu = 444}[/tex]

Alternative hypothesis:

[tex]\mathbf{H_1: \mu < 444}[/tex]

Thus, this is left-tailed since the alternative hypothesis is less than the population mean

The test statistics can be computed as follows:

[tex]Z = \dfrac{\overline x - \mu }{\dfrac{\sigma}{\sqrt{n}}}[/tex]

[tex]Z = \dfrac{443 - 444 }{\dfrac{23}{\sqrt{40}}}[/tex]

Z = - 0.275

At the level of significance of 0.02;

the critical value of [tex]Z_{\alpha/2} = Z_{0.02/2}=-2.05[/tex]

Decision rule: To reject the null hypothesis if the value of the Z score is lesser than the critical value.

Conclusion:

We fail to reject the null hypothesis and we conclude that sufficient evidence to support the claim that the machine bags were underfilled.

Answer:

1/36

Step-by-step explanation:

The event is mutually exclusive event. The occurrence of one foew not affect the other.

If a die is rolled once, the total outcome will be 6 since a die has 6 faces.

Probability = expected outcome/total outcome

If 3 is gotten when a die is rolled, the expected outcome will be 1.

Probability of getting a 3 will be 1/6

The probability of getting a3 the second time is also 1/6

The probability of getting a 3 the first time and a 3 the second time = 1/6×1/6 = 1/36

Answer:

Simple to help us improve our lives

Answer:

To do good in school

Step-by-step explanation:

the thing is teachers want us to study so we remember whatever is on the test for an example and that is good but not alt of people always study.

Answer:

C. If the price increases by $1, sales will decrease by $800, on average

Step-by-step explanation:

Slope of regression equation represents the increase/decrease in dependent variable Y due to unit change in independent variable X. Here, independent variable is X is price and dependent variable Y is sales. The slope negative sign represent decrease in dependent variable due to unit increase in independent variable. Sales is given in ($1000) So, (0.8*1000)=800. It means that due to unit dollar increase in price the sales will decrease by $800. Thus, If the price increases by $1, sales will decrease by $800, on average is the correct interpretation.

90 people

We are told that;

Total number of seats = 10

Number of people in each seat  = 2 Total duration of the Ferris wheel  = 30 minutes

Number of people to ride for the first 15 minutes = 15 × 2 = 30 people

This means that 2 seats will pass per minute and thus;

Number of people to ride for 15 minutes at this double speed = 15 × 2(2) = 60

2(2) was used because a seat can take 2 people.

Read more at; brainly.in/question/1728461

Answer:

173 days

Step-by-step explanation:

The formula for substantial presence test is;

SBT = (Total of number of days present in the current tax year) + (1/3)(number of days in the year that was before the tax year) + (1/6)(number of days in the year that was two years before the tax year)

From the question, present tax year is 2019 and number of days is 96 days.

Year before tax year is 2018 and number of days is 198 days

2 years before tax year is 2017 and number of days is 66 days.

Thus;

SBT = 96 + ((1/3)198) + ((1/6)66)

SBT = 173 days

Answer:

C: 48

Step-by-step explanation:

1/6 chance so multiply by 6, 8 marbles so multiply by 8, 8(6)=48

Answer:

48 marbles, it's C

Step-by-step explanation:

why?

Because 1/6 of the marbles are white. and there are 8 white marbles. so that means, 1/6=8 marbles.

So you just get 1/6 to 6/6

so you do, 8*6 which equals to 48

Answer:

Step-by-step explanation:

A tree diagram is the right way of determining a list of sample elements in the sample space. It is by finding the ordered n-tuples of the elements in the events under consideration.

We can found the tree diagram for selecting a person from the population in the given question in the attached image below.

b. Given that 6.5% of the population have prostate cancer. Suppose the total population is 100000. Then, we have the following table:

By applying Naive-Bayes theorem, the probability that the test is positive for a randomly chosen person from this population is expressed as:

P( positive ) = P( positive | cancer present ) P( cancer present ) + P( positive | cancer absent ) P( cancer absent )

P( positive ) = 0.21×0.065 + 0.06×(1 - 0.065)

P( positive ) = 0.01365  + 0.0561

P( positive ) = 0.06975

Thus, the probability that the test is positive for a randomly chosen person from this population is:

= 0.06975

Answer:

The measure of C is 10°

Step-by-step explanation:

In a triangle CDE, its internal angles are given:

C=x-4

D=11x-11

E=x+13

Since the sum of the internal angles of a triangle is 180°:

x-4+11x-11+x+13=180

Simplifying:

13x-2=180

Adding 2:

13x=182

Solving:

x=182/13

x=14°

The measure of the angles is:

C=x-4 =10°

D=11x-11=143°

E=x+13=27°

The measure of C is 10°