The cost in dollars, y, to participate x days in a bike tour is a linear function. Lin's bike tour is described by the equation y = 5x + 50. The cost of Max's bike tour is $120 for a 14-day bike tour. If both Lin and Max take 14-day tours, whose bike tour costs less? Lin Max They cost the same amount

Answers

Answer 1

Answer:

They cost the same amount

Step-by-step explanation:

Given

Lin: [tex]y = 5x +50[/tex] where x = 14

Max: [tex]\$120[/tex] for 14 days

Required

Which is less expensive?

Max charges has been given from the question as; $120 for 14 days.

To determine Lin's, we simply substitute 14 for x in [tex]y = 5x +50[/tex]

[tex]y = 5 * 14 + 50[/tex]

[tex]y = 70 + 50[/tex]

[tex]y =120[/tex]

The above result of y shows that Max charges for 14 days is also $120.

Hence, they (Lin and Max) cost the same because they both equal to $120 for 14 days


Related Questions

Answer the question in the picture. Thanks!

Answers

Answer:

4+3x=9

Step-by-step explanation:

All of the other choices equal to 4x+12=9 except 4+3x.

If y is directly proportional with x and y=24 when x=6. What is the value of x when y=16

Answers

Answer:

x = 4

Step-by-step explanation:

Given y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition y = 24 when x = 6 , then

24 = 6k ( divide both sides by 6 )

4 = k

y = 4x ← equation of proportion

When y = 16, then

16 = 4x ( divide both sides by 4 )

4 = x

25 points
Write an equation in slope intercept form
(-3,0) (2,1)

Answers

Answer:

y = 1/5x + 3/5

Step-by-step explanation:

Which is the function represented by the table ?

Answers

Answer:

its b

Step-by-step explanation:

hey ok i need help on this question ive been stuck on it for a couple minutes haha

Answers

Answer:

The side s has a length of 4 and side q has a length of 4[tex]\sqrt{3}[/tex] ⇒ F

Step-by-step explanation:

In the 30°-60°-90° triangle, there is a ratio between its sides

side opp (30°) : side opp (60°) : hypotenuse

       1               :         [tex]\sqrt{3}[/tex]            :        2

In the given triangle

∵ The side opposite to 30° is s

∵ The side opposite to 60° is q

∵ The hypotenuse is 8

→ Use the ratio above to find the lengths of s and q

side opp (30°) : side opp (60°) : hypotenuse

       1               :         [tex]\sqrt{3}[/tex]            :        2

       s               :          q             :        8

→ By using cross multiplication

s × 2 = 1 × 8

∴ 2s = 8

→ Divide both sides by 2

s = 4

The length of s is 4

q × 2 = [tex]\sqrt{3}[/tex] × 8

∴ 2q = 8[tex]\sqrt{3}[/tex]

→ Divide both sides by 2

q = 4[tex]\sqrt{3}[/tex]

The length of q is 4[tex]\sqrt{3}[/tex]

Solve the system of equations:

3x-3y = -15
and
-x+y = 5

Answers

Answer:

x=0 y=5

trust me I think its right

Please help meeeeeeee

Answers

I agree with the person who answered above

A manufacturer claims that the mean lifetime of its lithium batteries is 1200 hours. A homeowner selects 25 of these batteries and finds the mean lifetime to be 1180 hours with a standard deviation of 80 hours. Test the manufacturer's claim. Use ΅ = 0.05. Round the test statistic to the nearest thousandth.

Answers

Answer:

Since p is > α we fail to reject the Null as the result is not significant at α = 0.05

Step-by-step explanation:

Given that:

Mean lifetime (m) = 1200

Sample size (n) = 25

Sample mean (x) = 1180

Standard deviation (s) = 80

α = 0.05

The null hypothesis :

H0 : m = 1200

Alternative hypothesis : m ≠1200

The t statistic :

(x - m) / (s/√n)

(1180 - 1200) / (80 / √25)

-20 / (80/5)

= - 1.250

P value = 0.10565 ( p value calculator)

Reject Null hypothesis if p > α

At α = 0.05

Since p is > α we fail to reject the Null as the result is not significant at α = 0.05

A carpenter added a diagonal brace to gate. The gate is 8ft. Wide and 10 ft. Tall. How long is the brace

Answers

Answer:

The brace is [tex]2\sqrt{41}[/tex] ft ≅ 12.806 ft long

Step-by-step explanation:

The length of the diagonal of a rectangle can be found using this rule

[tex]d=\sqrt{l^{2}+w^{2}}[/tex] , where

l is its length w is its width

∵ The gate has shaped a rectangle

∵ Its length = 10 ft

∵ Its width = 8 ft

l = 10 and w = 8

∵ The brace is the diagonal

→ By using the rule above

∴ [tex]d=\sqrt{(10)^{2}+(8)^{2}}=\sqrt{100+64}=\sqrt{164}[/tex]

∴ The length of the brace = [tex]2\sqrt{41}[/tex] ≅ 12.806 ft

The brace is [tex]2\sqrt{41}[/tex] 12.806 ft long

if f(x)=3x-1 find f(2)

pls show steps I rlly need to understand this!

Answers

f(2)=3(2)-1
f(2)=6-1
f(2)=5

PLA HELP ME 100 POINTS FOR TO ANSWER
The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the
function?
O Locate the ordered pair (0, -6). From that point on the graph, move up 2, right 1 to locate the next ordered pair or
the line. Draw a line through the two points.
O Locate the ordered pair (0, -6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on
the line. Draw a line through the two points.
O Locate the ordered pair (-6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on
the line. Draw a line through the two points.
O Locate the ordered pair (-6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on
the line. Draw a line through the two points.

Answers

Answer: A

Step-by-step explanation: e2020

Answer:

one

Step-by-step explanation:

What is 70% of 900
Pls answer quickly

Answers

Answer:

630

Step-by-step explanation:

10% of 900 is 90 (900÷10)

20% of 900 is 180 (90×2)     -     basically the 10% times 2

50% of 900 is 450 (900÷2)

450+180=630         -          the sum of the 20% and 50%

how do u solve this​

Answers

isolate the absolute value equation -

add 9 to other side to get 16

divide 16 by 4 to get 4

then you get l-3b + 5l is less than 4

now subtract 5 from both sides

then divide by -3 (which flips the sign)

answer: b is greater than 1/3

A banner needs to be enlarged from its original format. The dimensions of the original are 4 cm tall by 25 cm wide.The enlarged banner needs to be at least 8 cm wide but no more than 1.4 m tall. Calculate the minimum and maximum ratios of enlargement possible.


Please help me it’s emergency please

Answers

Hope this helps you!

A. What is the area of square ABCD?

B. What is the area of square EFGH?

C. What is the area of the unshaded region of ABCD.

NEED HELP!!!!
Not very good with these kinds of problems

Answers

I got you. Answered on a picture

please help please answer surely please​

Answers

Answer:

C. 48 m

Step-by-step explanation:

The two vertical sides add up to be (8*2) m = 16m.

The two horizontal sides can be added up to (14*2) m = 28m.

(The top horizontal side can be found by pushing the line in the middle up to the level of the other two portions of the same side.)

Finally, add the leftover two sides (2*2) m = 4m.

16+28+4 = 48.

Hope this helped!

Answer:

C-48

Step-by-step explanation:

hi , you need to fill in the blanks and then add them all together

Write the first four terms of sequence Rule:start at 28.6, subtract 3.1

Answers

28.6, 25.5, 22.4, 19.3... hope this helps!!

abel has $10. he buys a hotdogs for $2,and then he buys 5 bags of chips. if he has no money left, what was the cost of each bag

Answers

Answer:

$1.6

Step-by-step explanation:

do 10-2 then you do 8 dived by 5

Answer:

The cost of each bag is $1.6 according to my calculations.

Step-by-step explanation:

What is the weight of 2 apples? *
.12
.24
16.67
8.33

Answers

Answer:

0.24

Step-by-step explanation:

Have a wonderful day <3

Find the slope of the line passing through the points (-2, 8) and (3,8).
Please help!!

Answers

Answer:

y=8

Step-by-step explanation:

(-2,8) (3,8)

x,y. x,y

y2-y1/X2-X1=

8-(8)= 0

3-(-2)= 5

since the two points have 8 in the Y space the line would be equal to y= 8

Classify each function as linear or nonlinear.

Answers

Step-by-step explanation:

Linear:

4x - y = 3

-6x = 3y - 17

x = y/5

non linear:

(x/2)^2 + 1 = y

y/x^2 = 4

2x^2 = 12 - 8y

In the year 2007, a company made $6.6 million in profit. For each consecutive year after that, their profit increased by 13%. How much would the company's profit be in the year 2010, to the nearest tenth of a million dollars?

Answers

Answer:

$9.5 million

Step-by-step explanation:

Profits = $6.6 million

Each year increase = 13% = 0.13

2007 - 2010 = 3 years

Profits = 6.6(1 + .13)^3

= 6.6(1.13)^3

= 6.6 × 1.442896

= $9.5231202 million

Approximately $9.5 million to the tenths of a million dollars

Find the remaining zeros of f using the given information about the polynomial.

Then write the linear factorization of the polynomial. Degree 4;
zeros: 3i, square root {7}

Answers

Answer:

noloce necesito puntos

If 8 is an element in the domain of ​f(x)=
8x−18
5​, what is the corresponding element in the​ range?

Answers

In Functions and Function Notation, we were introduced to the concepts of domain and range. In this section, we will practice determining domains and ranges for specific functions. Keep in mind that, in determining domains and ranges, we need to consider what is physically possible or meaningful in real-world examples, such as tickets sales and year in the horror movie example above. We also need to consider what is mathematically permitted. For example, we cannot include any input value that leads us to take an even root of a negative number if the domain and range consist of real numbers. Or in a function expressed as a formula, we cannot include any input value in the domain that would lead us to divide by 0.

Find the total surface area of this cone,
Round to the nearest tenth.

6cm
4cm
[?] cm2

Answers

Answer:

125.7cm²

Step-by-step explanation:

Given parameters:

Slant height, L = 6cm

Base radius  = 4cm

Unknown:

Total surface area = ?

Solution:

To find the total surface area, we use the expression;

      Surface area = [tex]\pi[/tex]r² + [tex]\pi[/tex]rL  

Now insert the parameters and solve

   Surface area = [tex]\pi[/tex]r(r + L )

    Surface area  =  [tex]\pi[/tex] x 4 (4 + 6) = 3.142 x 4 x 10  = 125.7cm²

Bdbdjekdmfmfmfkfmf help

Answers

Answer:

Green box: 9

Step-by-step explanation:

7/7 x 9/10

1 x 9/10 = 9/10

What is the slope-intercept equation for the line below?
(5, 4)
(0, 2)

Answers

Answer:

=  

2/5x +2

Step-by-step explanation:

let me know if im wrong

hope it helps :)

Answer:

A. y=2/5x +2

step-by-step explanation:

hope this helped :-)

if two equations are the same at two different points, what can be said about the two equations?

Answers

Answer:

They are parallel

Step-by-step explanation:

They will have the same slope but never intersect

A dyadic angle is an angle that is a sum of principle dyadic angles, this is to say that its measure in radians is zero or 2(pi) x (m/(2^n)) for some of the natural numbers m and n. Show that the sum and average of two dyadic angles is again a dyadic angle.

Answers

Answer:

attached below

Step-by-step explanation:

A dyadic angle is the sum of two principal dyadic angles

lets assume P and Q to be dyadic angles also assuming that they are non-zero in Radians

attached below is the proof that sum and average of two dyadic angles is a dyadic angle

A credit card company uses your average daily balance to compute your finance charge. You charge $100 on May 2 and $200 on May 20. What is your average daily balance?

Answers

Answer:

$5.56

Step-by-step explanation:

On may 2, charge = $100

On may 20, charge = $200

To get the average daily balance, we will use the concept of calculating slope;

let d be day of the month and c be the amount charged

when d1 = 2, c1 = 100

when d2 = 20, c2 = 200

average daily balance = c2-c1/d2-d1

average daily balance = 200-100/20-2

average daily balance = 100/18

average daily balance ≈ 5.56

Hence your average daily balance is approximately $5.56

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