Suppose you are the 120th person in line at airport security. In 75 sec, 5 people are able to pass through security. Assuming this rate stays the same, how long (in minutes) will you be waiting in the security line? It takes 15 min to walk from security to the gate for your flight. If the flight stops boarding in 60 min, will you arrive at the gate in time?

Answers

Answer 1

Answer:

It takes 30 minutes to get to the front of the line, and 15 minutes to walk, so 45 minutes. 45 is less than 60, so you will make it.

Step-by-step explanation:

To calculate unit rate, 75/5 = 15/1 120*15=1800/60=30 minutes

(divide by 60 to convert to minutes)

Related Questions

Question Write an equation of the line passing through the point A(0, 3) that is perpendicular to the line y = −1/2x−6

Answers

Answer:

The equation would be y=2x+3 I am pretty sure

Step-by-step explanation:

This is because you take the slope which is 2 from the line y=-1/2x-6. To find the slope perpendicular to the line, you need to find the exact opposite of the slope: -1/2, and in this case, it would be 2.

(Ex: if it was -3/4, you would need to use a slope of 4/3 since it is the opposite)

Then you take that slope (2) and the point (0, 3) and put it into "y-y1=m(x-x1)"

y-y1=m(x-x1)

y-3=2(x-0)

-distribute the 2-

y-3=2x-0

-add 3 on both sides-

so equation would be y=2x+3

Not sure if this is all correct, but I hope it helps! :)

Write an equation involving absolute value or the graph

Answers

Answer:

Step-by-step explanation:

2 AND 4

solve for m -7/9 m = 11/6

Answers

Answer:

19/18

Step-by-step explanation:

substitute the value of m(11/6) in m-7/9

which is equal to 11/6 -7/9 =19/18

All you have to do is just cross multiply and collect like terms

Given the line segment AD. AD=24 BC=12,AB=CD Find AB ?

Answers

Answer:

I think its 6

Step-by-step explanation:

In a proposed business venture, a businesswoman estimates there is a 65% chance she will make $57000 and a 35% chance she will lose $67000. Determine her expected value.

Answers

Answer:

Step-by-step explanation:

20 kilograms increased by 25%

Answers

Answer:

25 kilograms

Step-by-step explanation:

if you dont wear a retainer after braces can your teeth still be straight without wearing one cause mine still are and its been 6 months?

Answers

it will eventually go to where they were before braces, please wear your retainers!!

Teeth move so gradually you won't even notice until it's too late and your retainer wont fit anymore. Just wear your retainer. The cost of braces is so much, and to throw that all away because you don't want to wear the retainer is quite foolish.

Emilio has 8 large bottles of soda and 12 large jugs of water. Emilio wants to set up identical tables and have no drinks left over. What is the greatest number of tables that he can set up?

Answers

Answer:

Step-by-step explanation:

Think about the ratio between the current number of large bottles of soda(8) and the current number of jugs of water (12)

By finding the GCF (Greatest Common Factor) of the two numbers, we can conclude that if both numbers were to be divided by the GCF, 4, we would get a 2:3 ratio.

For every 2 bottles of soda, 3 jugs of water will be placed. Keep doing this until we run out of both sources of liquid, in this case, 4 tables where we would use all the bottles of soda and the jugs of water.

I need help with this question

Answers

Answer:

check online for more information

what is the slope of -y=-x+6

Answers

Answer:

m = 1b = -6

Step-by-step explanation:

We know that:

-y = -x + 6y = mx + b

First, we need to change the 'y' sign.

=> -y = -x + 6=> y = x - 6

Now, let's compare both of the equations to find slope.

=> (y = x - 6) = (y = mx + b)

We can see that the slope is 1 and the y-intercept is -6.

Conclusion:

Therefore:

m = 1b = -6

Hoped this helped.

Consider the functions f(x) = 12^x and g(x)= -2(12)^x. Which transformations must be applied to function F to produce the graph of function g?

SELECT ALL CORRECT ANSWERS

Vertical stretch
Vertical Shift
Vertical Compression
Reflection over the x-axis
Horizontal Shift

Answers

Answer:

Step-by-step explanation:

g(x) = -2f(x)

Vertical stretch by virtue of the factor 2

Reflection over the x-axis by virtue of the factor -1

The transformations which must be applied to function F to produce the graph of function g are vertical stretch and reflection over the x-axis.

To transform the function f(x)=12ˣ into the function g(x)=−2(12)ˣ

Since g(x) is multiplied by -2 compared to f(x), this represents a vertical compression.

The absolute value of the multiplier indicates the degree of compression/stretch.

The negative sign in front of 2(12)ˣ in g(x) reflects the graph over the x-axis. This means that the graph of g(x) is reflected below the x-axis compared to f(x).

Hence, vertical stretch and reflection over the x-axis are the transformations which must be applied to function F to produce the graph of function g.

To learn more on Graph transformation click here:

https://brainly.com/question/28025572

#SPJ3

Which of the following describes exponential decay?

A. The amount at a given time can be calculated by multiplying the previous amount
by a value greater than 1.

B. The amount at a given time can be calculated by multiplying the previous amount by a value less than 1.

C. The amount at a given time can be calculated by adding an amount to the previous amount.

D. The amount at a given time can be calculated by subtracting an amount from the previous amount.

Answers

So it should be A bit look it up just in case

The amount at a given time can be calculated by multiplying the previous amount by a value less than 1, which represents exponential decay. Hence, option B is the right choice.

What does linear function mean?

A quantity grows (or depreciates) linearly if it increases (or decreases) by the same amount per unit of time.

What does exponential function mean?

A quantity grows (or depreciates) exponentially if the increase (or decrease) in the amount is a multiple of the previous amount.

How to solve the question?

In the question, we are asked to identify the option that best describes an exponential decay.

We assess each option and try to identify the exponential decay among them.

A. The amount at a given time can be calculated by multiplying the previous amount by a value greater than 1: This is an exponential function as it is multiplied by the previous amount, but it shows exponential growth as the quantity multiplied is greater than 1.B. The amount at a given time can be calculated by multiplying the previous amount by a value less than 1: This is an exponential function as it is multiplied by the previous amount, and it shows exponential decay as the quantity multiplied is less than 1.C. The amount at a given time can be calculated by adding an amount to the previous amount: This is a linear function as a fixed quantity is added.D. The amount at a given time can be calculated by subtracting an amount from the previous amount: This is a linear function as a fixed quantity is subtracted.

Therefore, the amount at a given time can be calculated by multiplying the previous amount by a value less than 1, which represents exponential decay. Hence, option B is the right choice.

Learn more about exponential functions at

https://brainly.com/question/11464095

#SPJ2

Find the length of the second base of a trapezoid with one base measuring 12 feet,a height of 4,and an area of 58 square feet.

Answers

Answer:

Step-by-step explanation:

A = ½(b₁ + b₂)h

b₂ = 2A/h - b₁

b₂ = 2(58)/4 - 12

b₂ = 17 ft

Help help help help help help help math

Answers

Answer:

Angle 6

Step-by-step explanation:

They are both the same angle size

Answer:

Angle 1

Step-by-step explanation:

Refer to the attached picture

what is c3 - 1 when c = 4

Answers

The answer to your question is 11.
4x3=12-1=11

You just have to substitute
c3-1
4*3-1
12-1
=11

Which table of values represents possible solutions to
the equation y = 0.7x - 4.3?
х
49
у
30
X y
49 40
19 19
-11-12
-31-16
19 19
-11-12
-31 -26
B
Х
у
30
49
19 9
-11-12
-31 -26
Х
у
49 40
19 19
-11 -2.
-31 -16
D

Answers

Step-by-step explanation:

it will be c as shown in the photo

What is the solution to the system of equations

Answers

Answer:

x = 5

y = -4

Step-by-step explanation:

if g(x) = |2x-9|, find g(2)+g(3)

Answers

x=5 , x=3 - just plug in 2 and 3 into x and the lines will make it positive instead of negative

area of a triangle b-2s^2+3t^2 h-4s^2-3t^2

Answers

Answer:

1 flmpysc - ax + x - y - 2

this could help

emma is finding 7/2 x 2/5

Answers

Answer:

14/10

7/5

Step-by-step explanation:

(7*2)/(2*5) = 14/10

(14/2) / (10/2) = 7/5

Answer:

Mixed fraction: 1 2/5

Decimal form: 1.4

Hope this helps :)

NEED HELP! GIVING OUT BRAINLIEST! (Need long answer)
The diagram below shows a proportional relationship between the number of cans of soup and the price.
Explain what this value means in terms of the soup.

Answers

The constant of proportionality is 1.25 and its meaning is the soup price per can
Step-by-step explanation:
The diagram below shows a proportional relationship between the number of cans of soup and the price.
1st:
$3.75 for 3 cans
per can
2nd:
$6.25 for 5 cans
per can
If x is the number of cans and y is the price of x cans, then

This means the constant of proportionality is 1.25 and its meaning is the soup price per can

What is the value of y in the solutions of the system of equations: 3x + 4y = 3 and 2x – 4y = 12?

Answers

Answer:

y = -3

Step-by-step explanation:

3x + 4y = 3

2x - 4y = 12

5x = 15 Add the two equation together because the y terms are

opposite each other and goes out when you add the equations

x = 5

Substitute into the first equation and solve for y when x = 5

3x + 4y = 3

3(5) + 4y = 3

15 + 4y = 3

4y = 3 - 15

4y = -12

y = -3

Explanation:
Step 1) Solve the second equation for
y
2
x
+
y
=
−
8
−
2
x
+
2
x
+
y
=
−
2
x
−
8
0
+
y
=
−
2
x
−
8
y
=
−
2
x
−
8
Step 2) Substitute
(
−
2
x
−
8
)
for
y
in the first equation and solve for
x
:
−
3
x
+
4
y
=
12
becomes:
−
3
x
+
4
(
−
2
x
−
8
)
=
12
−
3
x
+
(
4
×
−
2
x
)
+
(
4
×
−
8
)
=
12
−
3
x
+
(
−
8
x
)
+
(
−
32
)
=
12
−
3
x
−
8
x
−
32
=
12
(
−
3
−
8
)
x
−
32
=
12
−
11
x
−
32
=
12
−
11
x
−
32
+
32
=
12
+
32
−
11
x
−
0
=
44
−
11
x
=
44
−
11
x
−
11
=
44
−
11
−
11
x
−
11
=
−
4
x
=
−
4
Step 3) Substitute
−
4
for
x
in the solution to the second equation at the end of Step 1 and calculate
y
:
y
=
−
2
x
−
8
becomes:
y
=
(
−
2
×
−
4
)
−
8
y
=
8
−
8
y
=
0
The Solution Is:
x
=
−
4
and
y
=
0
Or
(
−
4
,
0
)

Graph the solution set to this inequality. -2x+9_> 5x-12

Answers

x ≤ 3 (closed dot going to the left)

Tell which value of the variable is the solution of the equation.
s−4.3=0; s=4.3, 4.4, 4.5, 4.6
Question content area bottom
Part 1
Which of the following is the solution of the equation?
A. 4.3
B. 4.5
C. 4.4
D. 4.6
E. No solution is given in the set of values

Answers

Answer:

.shshs

Pls help I’ll brainlest help I’m failing do it on a paper and put it in the answer box

Answers

Didn’t have the colors but i labeled what should be what color.

2. Which will help you answer, "To what power must a student raise the number 5 to have an answer of 625?"

Answers

Answer:

125

Step-by-step explanation:

The power of 4. Powers are numbers multiplied by themselves. 5 to the fourth power is really 5x5x5x5 which equals 625

What is correct A, B or C

Answers

Answer:

A is the correct solution

Step-by-step explanation:

3x³ + 4x² + 0x - 1 / x - 2

3 10 20

-2 | 3 4 0 -1

- (3 -6)

10 0

- (10 -20)

20 -1

- (20 -40)

3x² + 10x + 20 + 39/(x - 2)

(x3 + 9x2 + 1)(3x2 + 4x − 4)

Answers

I don’t understand the question so I answer in two ways

One mom has 3 children, and each child attends a different level of school. If the mom plans to pick her children up, what would be her total distance traveled if she starts at the high school, then goes to the elementary school, and finally the middle school? (Write your answer as a decimal rounded to the nearest tenths place). *

Answers

Answer: I need the map good sir please show it

Step-by-step explanation:

Britney is trying out for the track team along with 24 other people nine people were running distance seven people were there to sprint three people are in the competition to throw Shotput and six people were there to polevault Britney was able to run a half a mile in six minutes and she finish seventh Place in the 100 m dash which of these pieces of data is discreet and which one is continuous

Answers

Answer:

The 6-minute half-mile time is continuous data; the number of people trying out for the team is discrete data.

Step-by-step explanation:

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