In a car lot, the ratio of the number of new cars to the number of preowned cars is 6 to 5. The total number of new and preowned cars on the lot is 66. If 4 new cars and 2 preowned cars are sold and are removed from the lot, what fraction of the remaining cars on the lot are preowned?

Answers

Answer 1
So the lot has (6/(6+5))*100 percent of new cars and 66*(6/11)*100 percent = 36 new cars before the sale, hence 66-36 =30 preowned cars before sale. After the sale it’s 32 new cars and 28 preowned so 32/28 makes it 8/7
Answer 2

The fraction of the remaining cars in the lot that are preowned is 7/15

In order to determine the fraction of the remaining cars in the lot that are preowned, we have to first determine the total number of new cars and preowned cars before the sale occurred.

Total number of preowned cars before the sales = (ratio of preowned cars / total ratio) x total number of cars

ratio of preowned cars = 5

total ratio = 6 + 5 = 11

total number of cars = 66

(5/11) x 66 = 30 cars

Total number of new cars before the sale = (ratio of new cars / total ratio) x total number of cars

ratio of new cars = 6

total ratio = 6 + 5 = 11

total number of cars = 66

(6/11) x 66 = 36 cars

Total number of new cars after the sale = total number of new cars before the sale - number of new cars sold

36 - 4 = 32

Total number of preowned cars after the sale = total number of preowned cars before the sale - number of preowned cars sold

30 - 2 = 28

The fraction of the remaining cars on the lot that are preowned = number of preowned cars after the sale / total number of cars on the lot after the sale

total number of cars on the lot after the sale = 28 + 32 = 60

28/60

to convert to the simplest term, divide the numerator and the denominator by 4

7/15

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Related Questions

Would you use SSS or SAS to prove the triangles​ congruent? If there is not enough information to prove the triangles by SSS or​ SAS, write​ "not enough​ information". Explain your answer.

Write a congruence statement and give a reason why the triangles are congruent. Select the correct choice below​ and, if​ necessary, write the vertices of the second triangle in the correct order.

Answers

Answer:

option B is correct answer. ∆SVZ~=∆YVX, SSS

Step-by-step explanation:

reasons,

VY=VS, S

YX=SZ, S

VX=VZ, S

therefore, ∆SVZ~=∆YVX.

hope this helps you.

The two triangles are congruent by side angle side property. The correct option is A.

What is congruency?

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.

Given that there are three triangles and these three triangles are connected to each other at the centres' A, B, and C.

The diameter of the three circles is HF, DF, and DH. The three diameters are similar in shape and are also equal to each other.

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Is (–3, –2) a solution to the equation y = x + –1?

Answers

Answer:

No.

Step-by-step explanation:

We plug in the coordinates and that gives us -2=-3+-1, that is not true, therefore your answer is no.

Brainliest would be appreciated! :-)

.03 + six tenths equals

Answers

0.63 (6 tenths = 0.6)
0.63 because 0.6 is six tenths

The diner ordered 144 bagels. The order was for 80% plain 20% sesame bagels. An employee says that the diner should receive 43 sesame bagels. Explain whether the employee’s statement is sense (true) or nonsense (false).

Answers

Answer:

nonsense

Step-by-step explanation:

[tex]144\times0.2=28.8[/tex]

This employees statement is nonsense, as 43 sesame bagels is far more than the 29 they should expect when they order 20% of 144 bagels.

Answer:

it's nonsense. coz a person can't receive 43 sesame Bangles. it is not the actual number of sesame Bangles she should receive.

Pls help I’ll brainlest

Complete the activities below

Answers

Answer:

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

rate of change or slope m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] = [tex]\frac{rise}{run}[/tex]

y = mx + b

"b" is y-intercept

~~~~~~~~~~~~~~~~~~~

Please help!
Describe a trend line in a scatterplot and how it should look in comparison to the data points.

Answers

Answer:

A trend line is a straight line that best represents the points on a scatterplot. The trend line may go through some points but need not go through them all. The trend line is used to show the pattern of the data. This trend line may show a positive trend or a negative trend.

Step-by-step explanation:

answer above

Sample Answer: A trend line describes the relationship between the two variables in a scatterplot. A trend line is sloped according to the general direction of the cluster of data points. It is drawn through the center of the cluster so the distance from the line to the points is minimized.

this is the correct answer on edge!!

(GIVING BRAINLIEST AND EXTRA POINTS) A multiplication expression with a product of 108,064 is shown below. What is the missing digit?



2
3
4
5

Answers

Answer: The missing digit is 2.

Step-by-step explanation:

4,912*22= 108,064

find all complex solutions of 3x^2-6x+1=0

Answers

Answer:

[tex]x=\frac{3+\sqrt{6} }{3}, \frac{3-\sqrt{6} }{3}[/tex]

Step-by-step explanation:

Let's see

[tex]\\ \rm\rightarrowtail 3x^2-6x+1=0[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{6\pm \sqrt{36-12}}{6}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{6\pm \sqrt{24}}{6}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{6\pm 2\sqrt{3}}{6}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{3+\sqrt{3}}{6}[/tex]

what is the value of f(-8) in f(x)=-3x-9

Answers

The value will be .......15.......

f(x) = -3x - 9

Now, substitute -8 in the place of x.

f(x) = -3x - 9

f(-8) = - 3(-8) - 9

f(-8) = 24 - 9

f(-8) = 15

______

Hope it helps ⚜

an amount ogf $3700 id deposited into an account that pays 8.25% confounded semi-annually. how much money eill you receive in 15 years

Answers

Answer: The answer is seventeen

Step-by-step explanation:

i just answered this question

What reaction did Pocahontas's people have to her helping the Jamestown colonists?

Answers

Answer:

They were very angry about her helping the colonists.

Step-by-step explanation:

Allison was comparing the price of salmon at two stores. At SuperGrocery B, 0.5 pounds of salmon costs $2.77. The table below represents the total cost, in dollars and cents, yy, that it costs for xx pounds of salmon at SuperGrocery A.

Answers

Answer:

15.48

Step-by-step explanation:

When we divide 6.45 by 10, we get 0.645 so, we know that is the rate per 0.1 pound. We multiply 6.45 by 2 to get 12.9 and add 0.645 four times since it is 2.4 pounds and get 15.48.

Answer:15.48

Step-by-step explanation:

15.48

Suppose X ~ N(6.5, 1.5), and a
3.5. Find and interpret the Z-score of the standardized normal random variable.

Answers

Answer:

Step-by-step explanation:

Create your own example for each cases of multiplying
polynomials

Case 1: Distributive Property
Case 2: FOIL Method
Case 3: Binomial to Polynomial

Pls needed badly
If you have nothing to answer dont answer

Answers

Step-by-step explanation:

CASE 1:2x(3x+7) = 6x^2+14x.CASE 2:(2x + 3)(3x – 1)CASE 3:x2 + 4x

Question Progress
Homework Progress
2111
跟多
I count on in equal steps,
My fourth number is 39, my fifth number is 43.
2
39
43
What is my first number?

Anyone know?

Answers

a_5=43a_3=39

common difference=d=43-39=4

We need first term a

[tex]\\ \sf{:}\dashrightarrow a_5=43[/tex]

[tex]\\ \sf{:}\dashrightarrow a+4d=43[/tex]

[tex]\\ \sf{:}\dashrightarrow a+4(4)=43[/tex]

[tex]\\ \sf{:}\dashrightarrow a+16=43[/tex]

[tex]\\ \sf{:}\dashrightarrow a=27[/tex]

The town of Winchester recently built an artificial body of Vater. This reservoir will store drinking water for the
town. Which of the following could cause contamination of the water and lead to human health-related problems
and loss of native species?
development of a water quality plan
B building a fence around the reservoir
C improvements to a water treatment facility
increased use of pesticides (chemicals) by farmers within the local watershed

Answers

Answer:

This reservoir, will store drinking water for the town. Which of the following could cause contamination of the water and lead to human health-related problems and loss of native species? ... Air pollution can affect human health and the health of other living things.

Step-by-step explanation:

A group of 8 people are sharing gummy bears each person wants 5 gummy bears each bag has 9 gummy bears

Answers

At least 5 bags of gummy bear bags are needed for each person to get 5 gummy bears.

The given parameters;

total number of people sharing the gummy bears, n = 8 peoplenumber of gummy bears in each bag, = 9 gummy bearsnumber of gummy bears needed by each person = 5 gummy bears

The number of gummy bear bags needed to share 5 gummy bears to each person is calculated as follows;

let the number of gummy bears bag = x

[tex]\frac{9x}{8} = 5\\\\9x = 40\\\\x = \frac{40}{9} \\\\x = 4.4[/tex]

Thus, at least 5 bags of gummy bear bags are needed for each person to get 5 gummy bears.

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A test has twenty questions worth 100 points. The test consists True/False questions worth 3 points each and multiple choice questions worth 11 points each. Howmany multiple choice questions are on the test?

Answers

Multiple choice questions = 5

True questions = 15

Given that:

Total number of questions = 20

Total worth of point = 100

Multiple choice questions (M) = 11 points each

True false questions (T) = 3 points each

Hence,

M + T= 20 ____(1)

11M + 3T = 100 ____(2)

M = 20 – T

Using the relation in (2)

11(20 – T) + 3T= 100

220 – 11T + 3T= 100

220 – 8T = 100

-8Tf = 100 – 220

-8T = – 120

T = 120/8

T = 15

Mc = 20 – 15

Mc = 5

Multiple choice questions = 5

True false questions = 15

2
2
iw
Question 2 (1 point)
1) Listen
5
Opening an industry to international competition tends to:
O increase X-inefficiency.
O force lazy monopolists to increase efficiency.
O increase the incidence of lazy monopolists.
raise a monopolist's profit as the price is driven up.

Answers

Answer:

increse X-inefficiency is the answer

Step-by-step explanation:  im here to help

Can the sum of two palindromic numbers be another palindromic number?​

Answers

Answer:

Every positive integer can be written as the sum of three palindromes, numbers that remain the same when their digits are reverse. For example, 389 = 11 + 55 + 323. This holds not just for base 10 but for any base b ≥ 5.

HELP!!!!
Solve, 4/9 - 4/10

Answers

Answer:

[tex]\frac{2}{45}[/tex]

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

4/9 times 10 = 40/90
4/10 times 9 = 36/90
40/90-36/90= 4/90 or 2/45 (simplified)

Given that f(x) = 4x V3x + 3 and g(x) = 2vx + 1, find x(*)(). х Ox3 20x +3 OxVx+3 +3 O 2x 73​

Answers

Answer: The answer is the last option, Option D.

PLEASE HELP!!!!!!!!!!!!! ASAPPP

Answers

Answer:

JO !

Step-by-step explanation:

get he exponet out the way

\

that leaves you with 3+4x1

do 4x 1 that equals 4

3+ 4 = 7

Hey there!

3 + 4 × 1^2

= 3 + 4 × 1

= 3 + 4

= 7

[Jo is correct] whereas Mia is incorrect because she misunderstood the question.

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Solve.

Write an expression for the total cost (in dollars) of Sam's purchase if he buys x candies costing 39 cents each and y bars of chocolate cost $1.25 each.


a. (0.39 + x) ∙ (1.25 + y)

b. 0.39x + 1.25y

c. 1.64(x + y)

d. 39x + 1.25y

Answers

Answer:

the answer to the question is c


Solve x + 5x – 14 = 0

Answers

Hey there!

Solve the equation:

Answer :

x = 7/3 ✅

Explanations:

x + 5x - 14 = 0

>> Add 14 to both sides :

x + 5x - 14 + 14 = 0 + 14

x + 5x = 14

6x = 14

>> Divide each side by 6 :

6x / 6 = 14 / 6

x = 14/6

Simplify the result :

14 / 6 = 2*7 / 2*3 = 7/3

Therefore, your answer is 7/3 .

More about equations:

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Have a good day :)

What correlations can you use when one or more of the variables are measured on an ordinal scale?

Answers

HEY

For variables at ordinal level use Spearman's correlation. However, Chi-Square is also suitable to use for test of significance with cross tabulation of ordinal level data

thank me later

carryonlearing

jufaith

Graph the line with a slope of −1 that contains the point (3,6)?

Answers

Answer:

y=-x+9

Step-by-step explanation:

The answer above is written in slope-intercept form because it is the easiest form to graph (in my opinion); slope-intercept form is y=mx+b, where m is slope and b is the y-intercept. However, to get the answer, you must first use slope-point. Slope-point is [tex]y-y_{1}=m(x-x_{1})[/tex]. So, plug in the point and slope into the formula. This gives the equation, y-6=-1(x-3). Then, solve the equation for the answer of y=-x+9.

On a graph, the y-intercept will be 9. So, the line will cross the y-axis at a value of 9. Additionally, the slope is -1. So, y will increase by one and x will decrease by one. This means that the line will look like it decrease left to right.

this can explain everything . please help

Answers

35 - 45 / 9 x 5

Divide 45 by 9 to get 5.

35 - 5 x 5

Multiply 5 and 5 to get 25.

35 - 25

Subtract 25 from 35 to get 10.

= 10

Suppose that 100,000 men were screened for prostate cancer for the first time. Of these, 4,000 men had a positive result on the screening blood test; of those who tested positive, 800 had a biopsy indicating a diagnosis of prostate cancer. Among the remaining 96,000 men who screened negative, 100 developed prostate cancer within the following year and were assumed to be false negatives to the screen. a) set-up the two-by-two table for this data. (please provide an actual table) b) what is the prevalence of prostate cancer in this population? c) calculate and interpret the sensitivity of this screening test d) calculate and interpret the specificity of this screening test. e) Calculate and interpret the positive predictive value of this screening test.

Answers

An actual two-by-two table is a tabular representation containing two rows and two columns.

The columns consist of the tested True positive for prostate cancer and tested True Negative for prostate cancerThe rows consist of the predicted positive screening and predicted negative values

a)

Mathematically, the set-up of the two-by-two table for this data can be computed as:

Tested                  True Positive for cancer   True Negative    Total

Predicted Positive         800                            3200                 4000

Predicted Negative        100                            95900              96000

Total                                900                            99100              100000  

b)

The prevalence rate of prostate cancer in this population is:

[tex]\mathbf{ =\dfrac{900}{100000}}[/tex]

[tex]\mathbf{ =\dfrac{9}{1000}}[/tex]

= 9 per thousand.

c)

The calculation of the sensitivity of this screening is as follows:

[tex]\mathbf{=\dfrac{TP}{TP+PN_1}}[/tex]

where;

TP = True positive for cancerPN₁ = Predicted Negative for true positive cancer

[tex]\mathbf{=\dfrac{800}{800+100}}[/tex]

= 0.889

= 88.9%

The interpretation shows that 88.9% are correctly identified to be actual positive for prostate cancer.

d)

The calculation of the specificity  of this screening is as follows:

[tex]\mathbf{=\dfrac{PN_2}{PN_2+TN}}[/tex]

where;

TN = True positive for cancerPN₂ = Predicted Negative for true negative cancer

[tex]\mathbf{=\dfrac{95900}{95900+3200}}[/tex]

= 0.9677

= 96.77%

The interpretation shows that 96.7% of an actual negative is correctly identified as such.

e)

The positive predicted value of the screening test is computed as:

[tex]\mathbf{= \dfrac{TP}{TP + TN}}[/tex]

[tex]\mathbf{= \dfrac{800}{800 + 3200}}[/tex]

= 0.2

= 20%

The interpretation of the positive predicted value of this screening shows that 20% that are subjected to the diagnosis of positive prostate cancer truly have the disease.

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What is the equation of this line?


a.y = 2x

b.y=−12x

c.y=12x

d.y=−2x

Answers

Answer:

Im thinking its y=-2x but Im not 100% sorry if its wrong

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