The price of a train ticket consists of an initial fee of $5dollar sign, 5 plus a fee of $2.75dollar sign, 2, point, 75 per stop. Julia has $21 dollar sign, 21 and would like to travel 50 kilometers. She wants to know the largest number of stops she can afford to buy on a ticket.

The direct variation that of the speed to the skid length implies that the speed increases as the length increases

The car would be traveling at 59.96 mph

A direct variation that illustrates the speed of the skidding car is:

s = k√l

Where:

Make k the subject in s = k√l

k = s /√l

Rewrite as:

s₁ /√l₁ = s₂ /√l₂

Substitute known values

40 /√178 = s₂ /√400

Evaluate the square root of 40

40 /√178 = s₂ /20

Multiply both sides by 20

800 /√178 = s₂

Evaluate the quotient

s₂ = 59.96

Hence, the car would be traveling at 59.96 mph

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Answer: x>38

Step-by-step explanation:

By the exterior angle theorem, x=39+38=77.

The measure of angle A in the kite before cutting the fabric is 42 degrees.

A kite is a quadrilateral with four sides and four angles. Adjacent sides are equal, and the diagonals bisect each other at 90 degrees.

Also, there is a pair of equal opposite angles.

From the diagram:

110 + (6x + 4) + (4x + 26) = 180 (sum of angles in a straight line)

10x + 30 = 70

x = 4

∠A = 4(4) + 26 = 42°

The measure of angle A in the kite before cutting the fabric is 42 degrees.

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Answer:

C

Step-by-step explanation:

If we have 5 packages and each contains 80, we are basically doing 80+80+80+80+80 (5 TIMES) which is referred to as 80×5=400

Answer:

1 package contain 80 sheets of paper.

If there is 5 packages, there will be 'x' sheets of paper.

We replace the sheets of paper with 'x', because the value of x is unknown.

Now we set up the equation:

__________   _________ = _________, solve for x;

80/1 = x/5

*5        *5

400 = x

Answer:

14,464

Step-by-step explanation:

16,000 - 20% = 12,800

12,800 + 13% = 14,464

I hoope this is correct. Have a wonderful day and dream a good dream of good people. :)

Answer:

4/1

Step-by-step explanation:

when you divide 4 by 1 you will get 4 which is your original answer.

Answer:

A) 3

Step-by-step explanation:

12 * 2 = 24

8 * 3 = 24

24 = 24

Hey there!

Let's solve this equation!

The first step is to use the Distributive Property.

7(5-5y)=9y-4-357

35-35y=9y-361

Combine Like Terms:

-35y-9y=-361-35

-44y=-396

Divide both sides by -44:

y=9

Hence, the answer is:

[tex]\boxed{\boxed{\bold{y=9}}}[/tex]

Hope everything is clear.

Let me know if you have any other questions; if so, please comment.

#LearningDoesn'tEnd

#LearningIsFun

[tex]\rule{200}{2}[/tex]

the answer is "Using the trigonometric identity

sin²x + cos²x = 1 , then sin²x = 1 - cos²x

Consider the left side

sin²a - sin²b

= (1 - cos²a) - (1 - cos²b)

= 1 - cos²a - 1 + cos²b

= cos²b - cos²a

= right side , thus verified"

Answer:

[tex]\huge\boxed{\sf y = 4 }[/tex]

Step-by-step explanation:

Given Equations:

x = 3 --------------------(1)

x + y = 7 ---------------(2)

Step 1: Substitute Eq. (1) in (2)

3 + y = 7

Step 2: Subtract 3 to both sides

y = 7 - 3

y = 4

[tex]\rule[225]{225}{2}[/tex]

Answer:

111.6 cm

Step-by-step explanation:

The area of a triangle can be calculated using the following formula:

Area = (base x height) / 2

Using this formula we can solve this problem in the following way:

Hope this helps!!

Answer:

answer 111.6 cm^2.......

Answer:

9 guests

Step-by-step explanation:

the first 3 guests are free and anyone after is 7 per guest

well if we divide 42/7 we get 6

and we add the 3 we get 9 guests.

This makes sense due to the fact that the first 3 guests are free and we are paying for everyone else after them. So it's 7 dollars a student therefore, 9 guests.

Answer:

The first three are not statistical, the last three are.

Answer:

and with the fractions and then divide the answer by 2.1

Step-by-step explanation:

Answer:

the first one And the first one only

Step-by-step explanation:

supplementary angles are angles that add up to 180.

Hope this helps! :)

Answer:

the answer is the number 23

This inequality says the following:-

-5>x

negative 5 is greater than x, which means x is less than -5:

x<-5

Now, Which values make this inequality true?

Since x is less than -5, then numbers less than -5 will make this inequality true.

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

[tex] \frac{1}{2} \times b \times h \\ \frac{1}{2} \times 12.4 \times 18 \\ 6.2 \times 18 \\ 111.6 {cm}^{2} [/tex]

Answer:

19 ft because the median is 4.5th item so,the commutative frequency just greater than 4.5 is 6.

so,median=9ft

Answer:

y = (-3/2)x + 6

Step-by-step explanation:

3x + 2y = 12

2y = -3x + 12

÷2    ÷2    ÷2

y = (-3/2)x + 6

Slope: (-3/2)

Y-intercept: (0,6)

I hope this helps!

Answer:

○ [tex]\displaystyle 12,9[/tex]

Step-by-step explanation:

Use the Law of Sines to find the length of the second edge:

Solving for Angles

[tex]\displaystyle \frac{sin\angle{C}}{c} = \frac{sin\angle{B}}{b} = \frac{sin\angle{A}}{a}[/tex]

Use [tex]\displaystyle sin^{-1}[/tex]towards the end or you will throw your result off!

Solving for Edges

[tex]\displaystyle \frac{c}{sin\angle{C}} = \frac{b}{sin\angle{B}} = \frac{a}{sin\angle{A}}[/tex]

Let us get to wourk:

[tex]\displaystyle \frac{a}{sin\:40} = \frac{10}{sin\:30} \hookrightarrow \frac{10sin\:40}{sin\:30} = x; 12,855752194... \\ \\ \boxed{12,9 \approx x}[/tex]

I am joyous to assist you at any time.

4     11

8     22

16    n

8 x n = 22 x 16

n = 44

Answer:

a) 9am

b) 10am

c) 50 miles

d) 30 minutes

e) 11:30

f) 90 miles

Using the formula for the distance between two points, it is found that the length of the side joining the vertex in quadrant i to the vertex in quadrant ii is given by:

c) 10

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

In quadrant I, both coordinates are positive, hence the vertex is (4,6). In quadrant II, x is negative while y is positive, hence the vertex is (-6,6). Thus, the distance is given by:

[tex]D = \sqrt{(-6 - 4)^2+(6 - 6)^2} = 10[/tex]

Which means that option C is correct.

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