A social studies class is taking a field trip to the history museum. The cost for renting a bus is $250, and the entry fee for the museum is $8.75 per person. To the nearest cent what is the cost per person if 21 people go?

Answer:

4.7, 5.1 and 7.4

Step-by-step explanation:

Given

[tex]t \le 7.4[/tex]

Required

Select numbers part of the solution

O  4.7    O 5.1      O 7.4      O 8.2     O 9.6​

[tex]t \le 7.4[/tex] implies that, the value of t cannot exceed 7.4.

So, we have:

4.7, 5.1 and 7.4 in this range

However, 8,2 and 9,6 do not belong to this range

Step-by-step explanation:

check once if your question is correct because -7-(-7)=0 and -12/0 is infinity. but the formula is same to calculate slope.

Answer:

Step-by-step explanation:

It’s 180°. The sum of the angles in a triangle is ALWAYS 180°.

Answer:

Step-by-step explanation:

6¼ ft - 8¾ ft = -2½ ft

(-2½ ft)/(1⅔ min) = (5/2 ft)/(5/3 min)

= (5/2)/(5/3) ft/min

= (5/2 × 3/5 ft)/min

= 1.5 ft /min

The required change in elevation of butterfly is 1.5 ft\min.

Given that,

A butterfly is flying [tex]8\frac{3}{4}[/tex] feet above the ground.

It descends at a steady rate to a spot [tex]6 \frac{1}{4}[/tex] feet above the ground in [tex]1\dfrac{2}{3}[/tex] minutes.

We have to determine,

The butterfly’s change in elevation each minute.

According to the question,

Change in elevation = butterfly flying above ground - it descends at a steady rate to a spot above the ground ,

[tex]= 8\dfrac{3}{4} - 6\dfrac{1}{4}\\\\= \dfrac{35}{4} - \dfrac{25}{4}\\\\= \dfrac{10}{4}\\\\= \dfrac{5}{2}\\\\= 2.5 feet[/tex]

Then,

To find Change in elevation per minute,

[tex]= T = 1\dfrac{2}{3} = \dfrac{5}3}[/tex]

Therefore,

Change in elevation per minute,

[tex]= \dfrac{2.5}{\frac{5}{3}} = 2.5 \times \dfrac{3}{5} = 1.5 \ ft \ per\ minute[/tex]

Hence, The required change in elevation of butterfly is 1.5 ft\min.

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9514 1404 393

Answer:

  42.0°

Step-by-step explanation:

To compute the angle, we need the measures in compatible units. It can be convenient to convert feet to meters.

  Tan = Opposite/Adjacent

  tan(angle of elevation) = (building height)/(shadow length)

  angle of elevation = arctan((62 ft)(0.3048 m/ft)/21 m) = arctan(18.8976/21)

  angle of elevation ≈ 41.984°

The angle of elevation of the sun is about 42.0°.

Answer:

71.29

Step-by-step explanation:

Answer:

Step-by-step explanation:

d = 16t^2

t^2 = d/16

t = 0.25√d

When d = 100 ft, t = 2.5 seconds

Answer:

8/3

Step-by-step explanation:

Answer:m a t h w a y

Step-by-step explanation:

Answer:-x+5

Step-by-step explanation:

Answer:

6squared+6squared+12squared=216 then double 216 hope this is it!

Step-by-step explanation:

Answer:

b)  180 cm²

Step-by-step explanation:

find area of square = 6 x 6 = 36

find area of one triangle = 1/2(6)(12) = 3(12) = 36

There are 4 congruent triangles, so 36 x 4 = 144

36 + 144 = 180

Answer:

15.3

Step-by-step explanation:

tan(42) =a/17

a=tan(42)*17

Answer:

smallest = 22

largest = 68

Step-by-step explanation:

To find the larger number, you take the average of the sum and the difference.

90 + 46 = 136/2 = 68

To get to the sum, you must add 22.

To get to the difference you must subtract 22.

68+22 = 90

68-22 = 46

Answer:

8(203-2xz)

1624-16xz

have a great day :)

Answer:

2(2x^2-2y^2+811-8xz)

Step-by-step explanation:

Rewrite as :

=[tex]2*2x^2-2*2y^2+2*811-2*8xz[/tex]

Factor out common term 2:

[tex]=2(2x^2-2y^2+811-8xz)[/tex]

Answer:

d=8$

Step-by-step explanation:

Step-by-step explanation:

move the shape 1 square to the left and then move it one square up

The triangle after a translation 1 unit to the left and 1 unit up will have vertices at (2, 2), (-4, 4), and (-2, 0).

Translation is a rigid transformation that moves each point of a figure a certain distance in a specified direction. For this triangle, we will translate all its vertices 1 unit to the left and 1 unit up.

Impact on the Coordinates:

Let's consider each vertex of the triangle and apply the translation:

a) Vertex (3, 1):

After the translation, this point will move 1 unit to the left and 1 unit up. Therefore, the new coordinates will be (3 - 1, 1 + 1) = (2, 2).

b) Vertex (-3, 3):

This point will also move 1 unit to the left and 1 unit up. The updated coordinates will be (-3 - 1, 3 + 1) = (-4, 4).

c) Vertex (-1, -1):

Similarly, this point will undergo the translation, resulting in (-1 - 1, -1 + 1) = (-2, 0).

New Triangle:

Now, we have the new coordinates for the vertices after the translation:

Vertex 1: (2, 2)

Vertex 2: (-4, 4)

Vertex 3: (-2, 0)

The transformed triangle will have vertices at (2, 2), (-4, 4), and (-2, 0).

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Answer:

D

Step-by-step explanation:

Answer:

none did it

Step-by-step explanation:

Answer:

$1411

Step-by-step explanation:

Answer: 714.29

Step-by-step explanation: This is right if we add the 71 cent to the equation

Answer:

less than

Step-by-step explanation:

Answer:

Use the formula for area of the triangle:

The triangle i has:

The area is:

Triangles have same area as they are congruent.

Total area is:

Answer:

very easy

Step-by-step explanation:

(10-7)x4

3x4=12

hope it helps you

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Answer:

y - 6 = (-1/2)(x - 4)

Step-by-step explanation:

As we go from (4, 6) to (6, 10), x (the run) increases by 2 and y (the rise) increases by 4.  Thus, the slope of the line connecting these two points is m = rise / run = 4/2 = 2.

The slope of a line perpendicular to this one is the negative reciprocal of 2, which is -1/2.

Using the point-slope formula, we get the following equation for the perpendicular line:

y - 6 = (-1/2)(x - 4)   (  obtained using the point (4, 6)  )

Answer:D

Step-by-step explanation:

Neither data set has suspected outliers response best describes outliers in the data sets.

Option A is correct.

The IQR describes the middle 50% of values when ordered from lowest to highest. To find the interquartile range (IQR), ​first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.

According to question

Reading:

Median = [tex]\frac{7+12}{2}[/tex] = 9.5

[tex]Q_{1}[/tex] = 5 × 25% + 7 × 75% = 6.5

[tex]Q_{3}[/tex] = 14 × 25% + 12 × 75% = 12.5

IQR is the difference between Q3 and Q1

IQR = [tex]Q_{3}[/tex] - [tex]Q_{1}[/tex] = 12.5 - 6.5 = 6

[tex]Q_{1}[/tex] - 1.5 IQR = 6.5 - 1.5 × 6 = -2.5 < Min = 5

[tex]Q_{3}[/tex] + 1.5 IQR = 6.5 + 1.5 × 6 = 15.5 > Max = 15

So no outlier in reading

Video :

[tex]Q_{1}[/tex] = 7 × 75% + 4 × 25% = 6.25

[tex]Q_{3}[/tex] = 21 × 25% + 18 × 75% = 18.75

IQR is the difference between Q3 and Q1.

IQR = [tex]Q_{3}[/tex] - [tex]Q_{1}[/tex] = 18.75 - 6.25 = 12.5

[tex]Q_{1}[/tex] - 1.5 IQR = 6.25 - 1.5 × 12.5 = -12.5 < Min = 1

[tex]Q_{3}[/tex] + 1.5 IQR  = 18.75 + 1.5 × 12.5 = 37.5 > Max = 26

So no outlier in video

So neither data set has suspected outliers.

Option A is correct.

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Answer:

3/4

Step-by-step explanation:

Hudson = 1 1/4 baskets

Suzy = 2 baskets

How much more apple Suzy picked than Hudson :

Suzy - Hudson

2 - 1 1/4

2 - 5/4

L. C. M = 4

(8 - 5) / 4

3 /4 apples

Suzy picked 3/4 more apples Than Hudson

Answer:

A

Step-by-step explanation:

The reflected rays come from a point on the reflective surface. That point is where the lines meet is the vertex.

Answer:

x=1, y=4

Step-by-step explanation:

x+y=5 - (1)

y=3x + 1 (2)

Sub (2) into (1)

x + (3x +1)=5

4x=5-1

x=4 ÷4

=1

Sub x=1 into (2)

y=3(1)+1

= 4

Hope it helps

Have a good day

Answer:

k = 24, y = 24x

Step-by-step explanation:

Given x and y are proportional then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition when y = 72, x = 3 , then

72 = 3k ( divide both sides by 3 )

k = 24

y = 24x ← equation of proportion

Answer:

no solution

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

There are no real solutions.

Answer:

Step-by-step explanation:

x =7y ----(1)

xy=252 ----(2)

(1) into (2):

(7y)(y) = 252

[tex]7 {y}^{2} = 252 \\ 7y = \sqrt{252} [/tex]

7y=15.874....

y=2.27

y value into (1)

x= 7(2.268)

x=15.87

the two numbers are 15.87 and 2.27 (Ans)