Eighty members of a bike club were asked whether they like touring bikes and whether they like mountain bikes. A total of 70 like touring bikes, 47 like mountain bikes, and 5 do not like either.

A 4-column table with 3 rows. The first column has no label with entries likes mountain bikes, does not like mountain bikes, total. The second column is labeled liking touring bikes with entries a, c, 70. The third column is labeled does not like touring bikes with entries b, 5, e. The fourth column is labeled total with entries 47, d, 80.

What are the correct values of a, b, c, d, and e?

a = 42, b = 28, c = 33, d = 5, e = 10
a = 42, b = 5, c = 28, d = 33, e = 10
a = 5, b = 42, c = 28, d = 10, e = 33
a = 5, b = 10, c = 28, d = 33, e = 42

Answer: Choice B

a = 42, b = 5, c = 28, d = 33, e = 10

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

Explanation:

Refer to the diagram below. We have a table of values in which some values (if not most) are unknown. We have variables as placeholders until we can figure out which numbers replace them.

Along the bottom row, we see that 70+e = 80, which solves to e = 10. I subtracted 70 from both sides.

That must mean the answer is between choice A or choice B.

--------------------------

Since e = 10, and b+5 = e (third column), we can replace the 'e' with 10 to get the equation b+5 = 10. That solves to b = 5. This rules out choice A.

The final answer is choice B

---------------------------

If you want to keep going to find a, c and d, then let's solve a+b = 47 which is the same as a+5 = 47 after replacing letter b with 5.

a+5 = 47 solves to a = 42 after subtracting both sides by 5.

Then along the first column, we see that a+c = 70 which is the same as 42+c = 70. Isolating c gets us c = 28

Lastly, c+5 = d is shown along the second row. Plug in c = 28 to find that d = c+5 = 28+5 = 33

So overall we have:

a = 42, b = 5, c = 28, d = 33, e = 10

Answer:

b is correct

Step-by-step explanation:

If f(x) = 3x⁴ - 13x, find f(-2)​

mnv
[tex]2 \times \frac{7}{?} = 4[/tex]
​

Graph the image of Kite BCDE after a translation 5 units down.​

Cos15°°- Sin 15°= 1/√2​

Given the following exponential function, identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.
y = 590(1.79)

Find all solutions to the equation.

sin x = square root of three divided by two.

Need help with practice problem please

Determine the number of solutions to the given system without graphing. 2x + y = 2 2x +y = 5
one solution
no solution
infinite number of solutions

3(t+4)=9 t=?
-(c-6)=0 c=?
-10(s+4)=-122 s=?​

12. Mr. Ellis bought several rose bushes
for $65 each. He was charged a $15
delivery fee. If r represents the number
of rose bushes, which expression
can be used to find the total cost of
Mr. Ellis' purchase?
A 150 - 65
B 65r + 15
c 15(r + 65)
D 651 - 15

Please help ASAP!!!

Should I get my nose pierced??

Which expression represents the area in square centimeters of the new cup opening? Use A=2

100 Brainly points!!!!

In the figure, polygon ABCD is dilated by a factor of 2 to produce A’B’C’D’ with the origin as the center of dilation.

Point A’ is at _ options > •(2,1), (-2,-2), (1,2), (-2,2)•

& point D is at _ options > (-2,2), (4,-2), (4,2), (-2,-2).

please help ill give brainliest I need this answer​

Out of 90 civil servants, 65 were working in the office, 50 were working in the field and 35 were working in both the premises (sites). How many civil servants were absent? How many civil servants were working in the field only? Represent the above information in the Venn diagram. 1​

In AUVW, W = 840 cm, u = 350 cm and ZV=63º. Find the area of AUVW, to the
nearest square centimeter.

Simplify (5 square root 2 - 1 ) ^2

I’ll give u brainlest if u answer this question

PLEASE ANSWER DUE IN 20 MINUTES

What is the first step in using the square root property?

on a certain map, 3/4 inch represents a distance of 150 miles. what distance d, in terms of x, is represented by x inches on the map

can you do 3 pages of work for me?
​

A small town experienced an explosive population increase Originally the town had population 170 within 3 years the town's population increased by 400% what is the town current population

Given m||n, find the value of x and y

A group of 5 students was asked, "How many hours did you watch television last week?" Here are their responses:
14, 6, 18, 15, 13
Find the median and mean number of hours for these students.
If necessary, round your answers to the nearest tenth.
Median: hours
?
Mean: [hours

cort
Here are ten numbers:
3 7 2 4 7 5 7 1 8 8
Write down the mode.
b)
Work out the median.
c)
Calculate the mean.
What is the range?

If the profits in your consulting business increase by 6​% one year and decrease by 3​% the following​ year, your profits are up by 3​% over two years

Tính I = tích phân ( x^2 - 3xy) dx + ( x-y) dy với đường cung định hướng AB là ve tẻ nối điểm A ( 2,3 ) và B ( 1 , 1 )

Debbie did a survey of how many states the members of her class had visited. The results were: 10, 15, 23, 2, 21, 31, 14, 10,
8.17, 11, 19.8.42.15. 22. 6, 34, 19.3, 24,
What is the five-number summary for this set of data?