Paul bought a student discount card for the bus. The card allows him to buy daily bus passes for $1.40. After one month, Paul bought 21 passes and spent a total of $38.40. How much did he spend on the student discount card? Paul spent $ on the student discount card.

Answer:

The first siding should be located at 30 miles

The time for the freight to arrive at the siding is 40 minutes

Step-by-step explanation:

From the given information:

Let [tex]T_f[/tex] represent the time for the freight train

Also, let [tex]T_P[/tex] represent the time at which the passenger train reach the location

Let Y represents the location where the location of the siding of the track needed to take place.

Thus, for freight time:

[tex]T_f = \dfrac{Y}{45} --- (1)[/tex]

The siding location is:

[tex]T_P = \dfrac{2}{6}+\dfrac{Y}{70}[/tex]

[tex]T_P =0.333+\dfrac{Y}{70} --- (2)[/tex]

To determine Y:

[tex]T_P -T_f = 0.1 --- (3)[/tex]

replacing the value of [tex]T_f[/tex]  and [tex]T_P[/tex] in the above equation (3), we have:

[tex]0.333+\dfrac{Y}{70} - \dfrac{Y}{45} =0.1[/tex]

collecting like terms, we have:

[tex]\dfrac{Y}{70} - \dfrac{Y}{45} =0.1-0.333[/tex]

[tex]\dfrac{45Y- 70Y}{3150} =-0.233[/tex]

[tex]\dfrac{-25Y}{3150} =-0.233[/tex]

- 25Y = -0.233 × 3150

- 25Y = -733.95

Y = -733.95/-25

Y = 29.36 miles

Y [tex]\simeq[/tex] 30 miles to the nearest whole number

Thus, the first siding should be located at 30 miles

To estimate the time for the fight to arrive the siding, we replace 30 miles for [tex]T_f[/tex] in equation (1).

Then, we have:

[tex]T_f = \dfrac{Y}{45}[/tex]

[tex]T_f = \dfrac{30}{45}[/tex]

[tex]T_f =0.667\ hr[/tex]

[tex]T_f =(0.667 \times 60 )minutes[/tex]

[tex]T_f =40.2 \ minutes[/tex]

[tex]\mathsf{T_f \simeq 40 \ minutes}[/tex]

Thus, the time for the freight to arrive at the siding is 40 minutes

Step-by-step explanation:

a. Your answer is correct.  The trend is that obesity rate increases with the number of fast food restaurants per capita.  Since Mississippi has a high obesity rate and number of fast food restaurants per capita, it goes against the trend.  It is an outlier in terms of the relationship.

b. The number of restaurants per capita is between 2 and 6 for most states.  Mississippi's number of restaurants per capita is within this range, so it is not an outlier.

c. The obesity rate is between 22 and 38 for most states.  Mississippi's obesity rate is within this range, so it is not an outlier.

Answer:

Whole Numbers

Step-by-step explanation:

whole numbers are just the counting numbers starting from zero: 0,1,2,3...

integers are whole numbers with negatives: ...-3,-2,-1,0,1,2,3...

rational numbers are any numbers that can be expressed as fractions:

2/3, 5, -3, -12/3,4,5,0....

irrational number are numbers that can't be expressed as fractions, which means that they are never-ending decimals.

Hope this helps!

Answer:

F(x)=x+7  the answer is A

Step-by-step explanation:

You can see the table is adding positive 7 to each number on the X column because -8+7=-1, -2+7=5, 5+7=12, 7+7=14. I PROMISE ITS RIGHT :)

Answer:<AQS BQS WHEN AS =BS AND AQ = BQ

Step-by-step explanation:

Answer: AQS BQS WHEN AS =BS AND AQ = BQ

Step-by-step explanation:

Took the test!

Answer:

a) The probability of getting a seven is 4/52

b) At least one of the cards is a seven=0.2813

c) The probability that none of them are seven=  0.7187

d) The probability that two out the four cards is a seven= 0.043

Step-by-step explanation:

A deck contains 52 cards containing 4 sets of 13 cards . Each set has a seven card in it. Thus there are 4 seven cards in a deck of 52 cards.

a) The probability of getting a seven is 4/52=0.0769

b) At least one of the cards is a seven=

1- P(no seven)

= 1- 4C0 * 48C4/ 52C4= 1- 0.7187= 0.2813

c) The probability that none of them are seven=4C0 * 48C4/ 52C4=  0.7187

d) The probability that two out the four cards is a seven= First card is seven * second Card is seven * two cards are not seven

= 4/52* 3/51*48/50= 0.0769*0.0588*0.96= 0.043

Answer  

B

Step-by-step explanation:

xxxxz

Answer:

D

Step-by-step explanation:

Answer:

Mandy is painting the wall

Step-by-step explanation:

70°+70°+a°=180°

a°=180°-140°

a°=40°

p°=70° (vertically opposite angle)

q°=70°(alternate interior angles)

hope it helps

Answer:

x=-2

Step-by-step explanation:

3[x+4]+4x=-2

The 3 multiplies x and 4

3x+12+4x=-2

Group like terms

3x+4x=-2-12

7x=-14

Divide through by 7

7x/7=-14/7

x=-2

d(n) = 6 - 4(n - 1)

Plug 5 into the equation for n.

d(5) = 6 - 4(5 - 1)

Subtract 1 from 5

d(5) = 6 - 4(4)

Multiply 4 by 4

d(5) = 6 - 16

Simplify the right side

d(5) = -10

The fifth term in the sequence is -10

The 5th term of the sequence is -10.

A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

Given is a sequence, d(n) = 6 - 4(n - 1)

To find the 5th term, put n = 5

d(5) = 6-4(5-1)

= 6-4×4

= 6-16

= -10

Hence, the 5th term of the sequence is -10.

For more references on sequence, click;

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Answer:

x=20°

Step-by-step explanation:

This is actually simpler than it seems. Try redrawing (or maybe just imagine) that the only inscribed angle is x with the two lines going to the 40°. If we let 40°=θ, then: x=θ/2

This is actually true for any situation with inscribed angles, so you could use this to find w, y, and z as well.

Anyways x=(40°)/2=20°, so x=20°

Answer:

theres no questions

Step-by-step explanation:

Answer:

x = 32

Step-by-step explanation:

9x=288

divde both side by 9

Answer:

Less than sign

Step-by-step explanation:

3/4 is greater than 3/5 because its 3 out of 4 making it 75% and 3/5 is 60%

Answer:

pretty sure its B. The quotient is an integer

Step-by-step explanation:

Answer:

At x= 4 the given expression is undefined.

Step-by-step explanation:

In a given function , if the denominator becomes zero then the function is undefined.

Here, denominator is x-4 so at x = 4 it will become zero. So we can say that at x=4 , the function is undefined

Answer:

9/20

Step-by-step explanation:

45% can be written as

= 45/100

= 9/20

Hope it will help u..

Answer:

1.429 lbs per dollar of sugar

Step-by-step explanation:

multiply by 5 get 10 lbs of sugar for 7 dollars divide by 7 get 1.4285 round up

Based on the cost of two pounds of sugar, we can calculate the quantity of sugar to a dollar to be 0.7 pounds.

You can find out the quantity of sugar you get per dollar using the formula:

= Price of sugar / Number of pounds

Solving gives

= 1.40 / 2

= 0.7 pounds

In conclusion, you get 0.7 pounds.

Find out more about cost per unit at https://brainly.com/question/24398532.

Answer:

$66,092.50

Step-by-step explanation:

In 1988, the car cost $17,000

Annual inflation over this period was 3.54% from 1988 to 2017

After adjusted for inflation, $17,000.00 in 1978 is equal to $66,092.50 in 2017

Therefore, the cost of that car in 2017 is closest to $66,092.50

Answer:

its B, C and E

Step-by-step explanation:

on edge

Answer:

2a + 3p = 18

Step-by-step explanation:

The total has to equal 18 so then you have $2 and $3. Apples cost $2 so the 2 should have an a for Apples. The peppers cost $3 so the 3 should have a p for peppers. So the equation would be 2a + 3p = 18.

Answer:

5

Step-by-step explanation:

To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.

Answer:

1.75 or  1  3/4

Step-by-step explanation:

7/8 + (-3/4) + (-7/ -8)+ 3/4

Simplify

7/8 -3/4 -7/-8 +3/4

We can get rid of -3/4 + 3/4, because together they = 0.

7/8 - 7/-8

So then we divide and subtract and get

1.75 or 1 3/4

The value of a2 and a3 given the formula an = 6an – 1 are -61 and -91 to respectively

Given:

an = 6an – 1

where,

a1, = first term= -5

n = number of terms

a2 = second term

a3 = third term

an = 6an – 1

a2 = (6 × -5 × 2) - 1

= (-60) - 1

= -60 - 1

a2 = - 61

an = 6an – 1

a3 = (6 × -5 × 3) - 1

= -90 - 1

a3 = -91

Therefore, the value of a2 and a3 are -61 and -91 respectively

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https://brainly.com/question/10694174

Answer: 3(2×+5)-(4×9) = -15

Step-by-step explanation: