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ANEK [815]
3 years ago
7

Two bike rental companies have different pricing systems. Company a charges a flat fee of $4 plus $2 per mile. Company b does no

t charge a flat fee but charges $2.80 per mile driven. At what distance do both companies charge the same amount?
Mathematics
1 answer:
EastWind [94]3 years ago
3 0

Answer:it will the take 5 mitutes

Step-by-step explanation:

Let x represent the distance at which both companies charge the same amount.

Let y represent the cost of x miles when using company A.

Let z represent the cost of x miles when using company B.

Company A charges a flat fee of $4 plus $2 per mile. It means that

y = 4 + 2x

Company b does not charge a flat fee but charges $2.80 per mile driven. This means that

z = 2.8x

To determine the distance before both plans will be be the same, we would equate both equations. It becomes.

4 + 2x = 2.8x

2.8x - 2x = 4

0.8x = 4

x = 4/0.8 = 5

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Choose the equation that represents a line that passes through points (−1, 2) and (3, 1).
nlexa [21]

Answer:

(B) x + 4y = 7

Step-by-step explanation:

8 0
3 years ago
What percent of the June budget was for babysitting and movies (to the nearest tenth)?
Aleonysh [2.5K]
The monthly expenses are found below:


Mortgage - $752 Tim's Chevron - $23Johnny's Allowance - $8Electric - $176Jenny-babysitting - $12Movie - $14Dry Cleaning - $41Tithe - $85,Credit Card - $150Food - $101Phone - $45Water - $16 Car - $272 


Adding all the expenses, will give us a total of $1695.
 
To get the percent which is allocated for movie and the baby sitting:


Add the amount for the two then divide that to the total then multiply it by 100%
= 12 + 14 / 1695 x 100%
= 26 / 1695 x 100%
= 0.015339233 x 100%

=1.5%
The answer is 1.5%



3 0
3 years ago
PLEASE HELP! The table shows the number of championships won by the baseball and softball leagues of three youth baseball divisi
Irina18 [472]

Answer:

Question 1: P ( B | Y ) = \frac{ P ( B and Y)}{ P (Y)} = \frac{ \frac{2}{16}}{ \frac{4}{16}} = \frac{1}{2}

Question 2:

A. P ( Y | B ) = \frac{ P(Y and B) }{ P(B) } = \frac{ \frac{2}{16} }{ \frac{6}{16} } = \frac{1}{3}

B. P( Z | B ) = \frac{ P ( Z and B)}{ P (B)}= \frac{ \frac{1}{16} }{ \frac{6}{16} } = \frac{1}{6}

C. P((Y or Z)|B) = \frac{ P ((Y or Z) and B)}{P(B)}= \frac{ \frac{3}{16}}{ \frac{6}{16}}= \frac{1}{2}

Step-by-step explanation:

Conditional probability is defined by

P(A|B)= \frac{P(A and B)}{P(B)}

with P(A and B) beeing the probability of both events occurring simultaneously.

Question 1:

B: Baseball League Championships won, beeing

P ( B ) = \frac{ 6 }{16}

Y: Championships won by the 10 - 12 years old, beeing

P ( Y)= \frac{ 4 }{ 16 }

then

P( B and Y)= \frac{ 2 }{ 16 }[/tex]

By definition,

P ( B | Y ) = \frac{ P ( B and Y)}{ P (Y)} = \frac{ \frac{2}{16} }{ \frac{4}{16} }  = \frac{1}{2}

Question 2.A:

Y: Championships won by the 10 - 12 years old, beeing

P ( Y)= \frac{ 4 }{ 16 }

B: Baseball League Championships won, beeing

P ( B ) = \frac{ 6 }{16}

then

P( B and Y)= \frac{ 2 }{ 16 }[/tex]

By definition,

P ( Y | B ) = \frac{ P(Y and B) }{ P(B) } = \frac{ \frac{2}{16} }{ \frac{6}{16} } = \frac{1}{3}

Question 2.B:

Z: Championships won by the 13 - 15 years old, beeing

P ( Z)= \frac{ 1 }{ 16 }

B: Baseball League Championships won, beeing

P ( B ) = \frac{ 6 }{16}

then

P( Z and B)= \frac{ 1 }{ 16 }[/tex]

By definition,

P( Z | B ) = \frac{ P ( Z and B)}{ P (B)}= \frac{ \frac{1}{16} }{ \frac{6}{16} } = \frac{1}{6}

Question 3.B

Y: Championships won by the 10 - 12 years old, beeing

P ( Y)= \frac{ 4 }{ 16 }

Z: Championships won by the 13 - 15 years old, beeing

P ( Z)= \frac{ 1 }{ 16 }

then

P (Y or Z) = P(Y) + P(Z) = \frac{6}{16}

B: Baseball League Championships won, beeing

P ( B ) = \frac{ 6 }{16}

so

P((YorZ) and B)= \frac{3}{16}

By definition,

P((Y or Z)|B) = \frac{ P ((Y or Z) and B)}{P(B)}= \frac{ \frac{3}{16}}{ \frac{6}{16}}= \frac{1}{2}

3 0
3 years ago
Solve the equation 5x +8=24
Andrew [12]

Answer:

x = 3.2

Step-by-step explanation:

5x + 8 = 24

5x = 16

5+5+5+1

1 is a 1/5 or .2 of a 5

x = 3.2

So, therefore, x would be 3.2

8 0
2 years ago
Read 2 more answers
FIND THE LENGTH AND WIDTH OF THE RECTANGLE
insens350 [35]
W = width
3w + 7 = length

Equation: 3w + 7 + w = 75
Combine like terms: 4w + 7 = 75
Subtract 7 to the other side: 4w = 68
Divide both sides by 4: w = 17

Width = 17
Length = 3(17) + 7, so 58
7 0
3 years ago
Read 2 more answers
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