The average time it takes to travel from home to school is 22 ½ minutes. Depending upon weather and morning traffic, the actual time on a given day can vary up to 5 ½ minutes.

Answers

Answer 1

Answer:

[tex]17 \le t \le 28[/tex]

Step-by-step explanation:

Given

[tex]t = 22\frac{1}{2}[/tex] --- average time

[tex]\triangle t = 5\frac{1}{2}[/tex] --- the variation

Required

The inequality to represent the scenario

To do this, we simply add and subtract the variation from the average time.

i.e.

[tex]t \± \triangle t[/tex]

So, the inequality is:

[tex]22\frac{1}{2} - 5\frac{1}{2} \le t \le 22\frac{1}{2} + 5\frac{1}{2}[/tex]

Solve:

[tex]17 \le t \le 28[/tex]


Related Questions

At a show, there are 19 adults, 45 teenagers, and 36 children.

What is the probability that a person chosen at random from the audience is not a teenager?

Answers

Answer:

55% or 0.55 or 11/20

Step-by-step explanation:

probability the person chosen is an adult or child out of all

so 19+36/19+36+45

55/100

The probability that the selected person is not a teenager is [tex]\frac{11}{20}[/tex].

What is probability?

Probability is a measure of happening or non happening of the outcomes of the random experiment.

Probability formula

P(E) = Total number favorable of outcomes/ Total number of outcomes

Where,

P(E) is the probability of an event.

According to the given question.

Total number of adults in the audience = 19

Total number of teenagers in the audience = 45

Total number of children in the audience = 36

Total audience = 19 + 45 + 36 = 100

Now, the probability that the selected person is teenager = [tex]\frac{45}{100} = \frac{9}{20}[/tex]

Therefore,

The probability that a selected person is not a teenager

= [tex]1 -\frac{9}{20}[/tex]

= [tex]\frac{11}{20}[/tex]

Hence, the probability that the selected person is not a teenager is [tex]\frac{11}{20}[/tex].

Find out more information about probability here:

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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP ASAP

Answers

They are alternate Exteror angles and internet but as for the question they would be corresponding angles

determine the volume of a cube with a side length of 7.5m​

Answers

Answer:

V≈421.88

Step-by-step explanation:

To find the slope of the trend line below Reilly chose the points (1,80) and (2,30). explain whether the points she chose will help her write the correct equation of the line and find the equation of a trend line

Answers

Answer:

We can't see the graph

Step-by-step explanation:

What's the surface area of the pyramid?

Answers

The Answer is C    226.8 ft

I remember doing this not to long ago

I think the answer is C

Helppppppp please ASAP

Answers

Ok so you do 37 divided by 12 and get 3.08 and round it to 3.1 then multiply 3.1 by 19
And your length for GH is 58.9

I kinda need help with this

Find the mean:40,13,49,53,35

Find the Range:40,13,49,53,35


Find the median:40,13,49,53,35

Answers

Answer:

mean: 38

range: 27

median: 40

Step-by-step explanation:

mean: 40+13+49+52+35 / 5

range: 40 - 13

median : 40

Answer:

Mean = 38

Range = 40

Median = 40

Step-by-step explanation:

Arrange the terms in ascending order :

13, 35 , 40 , 49 , 53

[tex]Mean = \frac{40 + 13 + 49 + 53 + 35}{5} = 38[/tex]

[tex]Range = {53 - 13} = 40[/tex]

[tex]Median = \ the \ middle \ term = 40[/tex]

The angle of elevation to a nearby tree from a point on the ground is measured to be
31°. How tall is the tree if the point on the ground is 62 feet from the tree? Round
your answer to the nearest tenth of a foot if necessary.

Answers

Answer:

37.3 ft

Step-by-step explanation:

tan A = opp/adj

tan 31° = x/62

x = 62 * tan 31°

x = 37.3 ft

The height of the tree is 37.25 ft if the point on the ground is 62 feet from the tree.

What is the right triangle?

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

Trigonometric ratios are used to demonstrate the connection between the sides and angles of a right-angled triangle.

Let h denote the tree if the point on the ground is 62 feet from the tree.

The angle of elevation = 31°. Hence:

tan 31° = h/62

h = 62 × tan 31°

h = 37.25 ft

Thus, the height of the tree is 37.25 ft if the point on the ground is 62 feet from the tree.

Learn more about the right triangle here:

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Find the mean of the data.
The number of trophies won by
each team in the district.
1, 3, 1, 5, 7, 8, 10
Mean: [? ] trophies

Answers

Answer:

5

Step-by-step explanation:

answer: 5

explanation:
1 + 1 + 3 + 5 + 7 + 8 + 10= 35
35 divided by 7 (how many number you added up to get 35)
and then 35 divided by 7 is 5

hope this helped :))

The area of a square is 81 cm squared find its perimeter​

Answers

Answer:

the answer is 36

Step-by-step explanation:

Tony sold t-shirts and hats at the festival. He made a $4 profit for each t-shirt he sold. He also made a profit of $34 from selling hats. If he made a total profit of $106, how many t-shirts did he sell?

Answers

Answer:

18 T-shirts

Step-by-step explanation:

$4×18= $72 $72+$34=$106

18 t shirts

106 - 34 = 72
72 / 4 = 18

If Kiri has 17 part-time members this month, how many full-time members does she need according to your equation?

Answers

Answer:

5050 = 225f + 125p

If p = 17 this month, then, f = 13

Step-by-step explanation:

Kiri owns a coworking space that has two primary types of memberships, full time and part-time. In order to pay her bills each month (rent on the building, electricity, internet, and so on) she needs to make $5050. Full-time memberships (f) cost $225 per month, and part-time memberships (p) cost $125 per month.

If Kiri has 17 part-time members this month, how many full-time members does she need according to your equation?

Total cost = $5050

cost of full-time memberships = $225

number of full time members = f

cost of part-time memberships = $125

number of part-time members = p

Total cost = cost of full-time memberships * number of full time members + cost of part-time memberships * number of part-time members

5050 = 225f + 125p

If p = 17 this month,

5050 = 225f + 125p

5050 = 225f + 125(17)

5050 = 225f + 2,125

5050 - 2,125 = 225f

2,925 = 225f

f = 2,925/225

f = 13

number of full time members = f = 13

If p = 17 this month, then, f = 13

In the system of equations , x represents .... ( please answer 12a and 12b )

Answers

Answer:

x = cost of each t-shirt

y = cost of each sweatshirt

Step-by-step explanation:

Given equation:

2x + 2y = 26 (1)

x + 3y = 33 (2)

From (2)

x = 33 - 3y

Substitute x = 33 - 3y into (1)

2x + 2y = 26 (1)

2(33 - 3y) + 2y = 26

66 - 6y + 2y = 26

- 6y + 2y = 26 - 66

-4y = -40

y = -40/-4

y = 10

Substitute y = 10 into (2)

x + 3y = 33 (2)

x + 3(10) = 33

x + 30 = 33

x = 33 - 30

x = 3

Where,

x = cost of each t-shirt = $3

y = cost of each sweatshirt = $10

(HELP) A glass jar contains 5 red, 7 green, 9 blue and 11 yellow marbles. If a single marble is picked at random from the jar, what is the probability of it being a blue marble? *

1/11
5/18
9/32
5/12

Answers

Answer:

Find the volume of this prism.

What is the solution of the equation x2 − 2x + 4 = 0?

Answers

Answer:

No real solution

Step-by-step explanation:

This leads to a square root of a negative number, which is not possible without imaginary numbers

I need help please PLEASE PLEASEEEEEEEE​

Answers

I can’t barely see the sentence it cutt off

Answer:

Step-by-step explanation:

Enriques bathroom measures 6 ft. Long by 5 ft. Wide His shower is 3 feet square The title he wants to buy for the floor is sold in square feet. What is the area of the floor that he has to title

Answers

Answer:

Area of the floor is 30 square ft.

Step-by-step explanation:

Length of the floor, L = 6 ft

width of the floor, W = 5 ft  

The floor is in the shape of rectangle.

The area of the rectangle is

A = Length x width

So, the area of the floor is

A = L x W

A = 6 x 5

A = 30 ft^2

Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is the solution set of this problem?
O (,-21)
O (--,-21]
O [-21,700)
O (21,+0)

Answers

The correct answer is D

If sin θ +cosec θ = 2 then sin2θ+ cosec2θ is equal to

a) 1 b) 4

c) 2 c) 9

Answers

Answer:

C

Step-by-step explanation:

We are given that:

[tex]\sin \theta +\csc \theta = 2[/tex]

And we want to find the value of:

[tex]\sin^2\theta + \csc^2\theta[/tex]

From the first equation, we can square both sides:

[tex](\sin \theta + \csc \theta)^2=(2)^2[/tex]

Square:

[tex]\sin ^2\theta +2\sin\theta\csc\theta +\csc^2\theta =4[/tex]

Let csc(θ) = 1 / sin(θ):

[tex]\displaystyle \sin ^2\theta +2\sin\theta\left(\frac{1}{\sin \theta}\right) +\csc^2\theta =4[/tex]

Simplify:

[tex]\displaystyle \sin ^2\theta +2(1) +\csc^2\theta =4[/tex]

Therefore:

[tex]\sin ^2\theta + \csc^2\theta =2[/tex]

Our answer is C.

B) 4 is the answer I believe

?‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎

Answers

Answer:

Step-by-step explanation:

She made the -2(6) as a positive 12. it should've been a negative 12 because a negative multiplied by a positive is a negative.

25 POINTS Find the slope of the line khan academy

Answers

Answer:

-8/5

Step-by-step explanation:

Using the points given ( -1,4) and (4,-4)

We can use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( -4 -4)/(4- -1)

    = (-4 -4)/(4+1)

    = -8/5

A line's y-intercept is 1, and its slope is -5. What is its equation in
slope-intercept form?
help please

Answers

y=-5x+1

Slope intercept form is y=mx+b

m is slope and b is the y-intercept
y= -5x+1
As general equation of y-intercept is y=mx +b

Hope it helps!

There are 120 students in class 7. It is known that
2/3
out of them like Maths, out of which 35
are girls. Also, out of total students,
3/5
are boys. (3)
(a) What is the number of girls in the class?
(b) How many students like Maths?
(c) How many boys like Maths?

Answers

Multiply total students by 2/3 to find how many like math:

Like math = 120 x 2/3 = 240/3 = 80 total students like math

Multiply total students by 3/5 to find number of boys:

120 x 3/5 = 360/5 = 72 boys

A) number of girls = total students - boys = 120 -72 = 48 girls

B) from above 80 students like math

C) number of boys that like math = number of students that like math minus girls that like math: 80- 35 = 35 boys like math

72 boys xjtxkttkftkxktx

2) Three people shared some money in a
ratio of 4:3:5. The second person got
£21 as a result. How much money did
they share?

Answers

Answer:

£ 84

Step-by-step explanation:

Let :-

Total amount be x .

Given ratio :-

4 : 3 : 5 .

→ Sum of ratios = 4 + 3 + 5 = 12 .

According to Question :-

→ 3/12 × x = £21

→ x = £21 × 12/3

x = £ 84 .

Answer:

£84.

Step-by-step explanation:

There are 4 + 3 + 5 = 12 parts.

The second person got 3 parts so we can write:

3/12 x = 21      where x is the required amount of money

x = 21 * 12/3

= 21 * 4

= £84.

A box shown below is to paint blue except the bottom. What is the area of the surface, and square inches, that will be covered with the paint?

Answers

Answer:

186

Step-by-step explanation:

Your entire surface area is

216

the area of the rectangle on the bottom is 30

substract 30 from 216

the answer is 186 cause u subtract 30 from 216

Math help please and thank you :)

Answers

Answer:

173

Step-by-step explanation:

Area of dirt in the flower bed = area of flowerbed - area of 3 trapezoids

Area of flowerbed:

The flowerbed is in the shape of a parallelogram

The area of a parallelogram can be calculated by multiplying the base length times the height

Base length = 20ft

Height = 10ft

Area of flowerbed = 10 * 20 = 200ft^2

Area of rockbeds

The rockbeds are in the shape of trapezoids

The area of a trapezoid can be calculated using this formula

A = (a + b)/2 * h

Where a and b = bases and h = height

The rockbeds of base lengths of 2 and 4 and have heights of 3

So area of rockbeds = (4 + 2)/2 * 3

4 + 2 = 6

6 / 2 = 3

3 * 3 = 9

We then multiply that by 3 ( because there are three rockbeds )

9 * 3 = 27

Finally we subtract the areas

200 - 27 = 173

the union of 2 sets is all the elements of both set's, excluding the common elements true or false

Answers

Answer:

true

Step-by-step explanation:

AUB=A+B-(A∩B)

A triangle has a angle of x, 40 and 30 what is the angle of x

Answers

Sum of interior angles of a triangle = 180°

x+40+30= 180°

x+ 70=180

x= 180-70

x= 110°

Answer:

x = 110

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , then

x + 40° + 30° = 180°

x + 70° = 180° ( subtract 70° from both sides )

x = 110°

Which expression is equivalent to (x^4/3 x^2/3)^1/3
?

x^2/9
x^2/3
x^8/27
x^7/3

Answers

Answer:

X^2/3

Step-by-step explanation:

1. For each relation, state
i) the domain and the range
ii) whether or not it is a function, and justify your answer

Answers

Answer:

A and C are functions.

The domain is x and the range is y

Step-by-step explanation:

Each x - value can have only one y -value

Function= unique x-values

Y can be the same answer but the X has to be different

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