1.5.5 Practice: Modeling: Best Ticket Deal
Mathematics || Sem 1
Points Possible: 20

Does anybody have this?

Answer: 9

Step-by-step explanation: To find the mode, you order the numbers from lowest to highest and see which number appears the most often.

Answer:

4n ≤ 32

/4      /4

n ≤ 8, he could run less than 8 or just 8 laps,

so possible laps:

1, 2, 3, 4, 5, 6, 7, or 8 laps he could've ran.

If the angles are equal, then, x = 9.

Simplification of expressions means rewriting the same algebraic expression with no like terms and in a compact manner.

Given are two angles, 3x -8° and 2x + 1°, simplifying by equating them,

3x -8° = 2x + 1°

x = 9

Hence, If the angles are equal, then, x = 9.

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Answer:

C

Step-by-step explanation:

Causation is when one thing causes another.

Correlation means one thing is related to another but doesn't cause it.

A - we know more rain means more rainfall which means more water in a river.

B - We know hotter temperature means things melt or evaporate faster.

C - This does not work. How does vision loss cause people to have hearing aids? There might be a correlation but it can't cause it.

D - We know fewer mistakes mean higher grades.

Which situation best demonstrates the phrase "correlation is not causation"?

O As rainfall increases, so does the water level in the river.

O The hotter the temperature, the faster ice will melt

O As the number of people with vision loss increases, the sale of hearing aids increases. ✓

O The fewer mistakes a student makes on a math test, the better their grade is on the math test.

Answer:

6 pounds = 96 ounces

4 pounds = 64 ounces

12)

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{-4}-\underset{x_1}{4}}}\implies \cfrac{-2}{-8}\implies \cfrac{1}{4}[/tex]

now, I used y₂ - y₁  and x₂ - x₁, is pretty much the same slope the other way.

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{\cfrac{1}{4}}(x-\stackrel{x_1}{4}) \\\\\\ y-5=\cfrac{1}{4}x-1\implies y=\cfrac{1}{4}x+4[/tex]

13)

[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{0}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{0}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{-4}-\underset{x_1}{(-2)}}}\implies \cfrac{-2}{-4+2}\implies \cfrac{-2}{-2}\implies 1[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_2=m(x-x_2) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{1}(x-\stackrel{x_1}{(-4)}) \\\\\\ y=1(x+4)\implies y=x+4[/tex]

notice, for the point-slope form, we can use either x₁ , y₁  or x₂ , y₂ , doesn't quite matter, so long we use the corresponding coordinates.

Answer:

Step-by-step explanation:

The sides of a triangle measure 6, 8 and 10 cm. What is the area of the triangle?

from the data it is a right triangle, 10 cm is the hypotenuse

so

1/2 (6 * 8) =

1/2 * 48 =

24 units²

Answer:

Step-by-step explanation:

Initial function is

Changed function is

This is best explained when graphed. See below to confirm the correct option

f(x+8)

So

x² is changed to (x+8)²

Change in x

It will shift 8 units left

Option B

Answer:

9/4 seconds

Step-by-step explanation:

Plug 13 into the equation

13=94-16t^2

subtract 94

-81=-16t^2

divide by -1

81=16t^2

take the square root of both sides

9=4t

divide by 4

t=9/4

Answer: 86 + 7.5 = 93.5

Step-by-step explanation:

The measure of angle x from the diagram is 102 degrees

From the given diagram, we can see that the measure of angle "x" lies on the same line with 39 degrees. Since the sum of angles on a straight line is 180 degrees, hence;

39 + x + 39 = 180

78 + x = 180

Subtract 78 from both sides

78 + x - 78 = 180 - 78

x = 180 - 78

x = 102 degrees

Hence the measure of angle x from the diagram is 102 degrees

Learn more on lines and angles here; https://brainly.com/question/25770607

Answer

A.) As the number of years increased, the population increased.

Answer:

Given that measure 2 is 79 degrees, we know it'll be supplementary to angle 1 meaning that that both angle measures 1 and 2 will equal 180 degrees:

79 + x = 180

-79        -79

x = 101, ∠1 = 101°

Angles 2 and 4 are vertical, so they are congruent meaning they measure the same degrees:

if ∠2 = 79, then ∠4 is also equal to 79°

Now that we found the measure of angle 1, we can determine the measure of angle 3 since they are vertical as well, (vertical angles are congruent, meaning they measure the same degrees):

if ∠1 = 101, then ∠3 is also equal to 101°

Answer:

T=-9

Step-by-step explanation:

Answer:

4 containers orange juice

4 containers pinapple

2 containers cranberry

Step-by-step explanation:

1000 milliliters are in a liter

4 liters orange juice, 4*500 = 2,000

4 liters pinapple, 4*500 = 2,000

2 liters cranberry, 2*500 = 1,000

Total 5 liters

Answer:

5600 m²

Step-by-step explanation:

The perimeter of a rectangle is 2x + 2y = 300

If we have a ratio of length to breadth, we can just assign variables to simplify the problem. It doesn't matter if x is breadth or length and the same goes for y. But in this case, I just choose x as length and y as breadth.

x = 8n

y = 7n

2(8n) + 2(7n) = 300

30n = 300

n = 10

so, plugging n into x and y

x = 8(10) = 80

y = 7(10) = 70

Area of a rectangle

A = xy

A = (80)(70) = 5600 m²

Based on the calculations, the location of the earthquake’s epicenter is at (-1, 1).

An epicenter can be defined as the point on the surface of planet Earth, which is perpendicular to the hypocenter (focus) and directly above the earthquake’s origin. Also, it indicates where the seismic waves from an earthquake are most intense.

For this exercise, we would set the epicenter at x and y. Using the equation of a circle, we have the following:

At A (2, 1) and 3 miles away;

[tex](y-1)^2+(x-2)^2=3^2[/tex]   ......equation 1.

At B (-5, 3) and 4 miles away;

[tex](y-3)^2+(x-(-5))^2=4^2\\\\(y-3)^2+(x+5)^2=4^2[/tex]   ......equation 2.

At C (10, 1) and 5 miles away;

[tex](y-1)^2+(x-10)^2=5^2[/tex]   ......equation 3.

Subtracting eqn. 2 from eqn. 1, we have:

[tex](x-2)^2-[(x+5)^2]=3^2-4^2\\\\x^2-2x-2x+4-[(x^2+5x+5x+25)]=9-16\\\\x^2-4x+4-x^2-10x-25=-7\\\\-14x-21=-7\\\\-14x=-7+21\\\\-14x=14\\\\x=\frac{-14}{14}[/tex]

x = -1 when y = 1.

Read more on epicenter here: brainly.com/question/6835759

Answer: i used desmos to graph the circles and from the graph, you can tell that the point of intersection (epicenter) is (5, 1)

Step-by-step explanation:

Solution:

We know that:

[tex]\bullet \ \ \tex\text{Area of triangle:} = \frac{1}{2} \times \tex\text{Base} \times \tex\text{Height}[/tex]

Let the base of the triangle be 11 yd. If we extend the base, it will allow us to find the height of the triangle, which is 8 yd.

Using the formula:

[tex]\bullet \ \ \tex\text{Area of triangle:} = \frac{1}{2} \times 11 \times 8[/tex]

Now, let's simplify.

[tex]\bullet \ \ \tex\text{Area of triangle:} = \frac{1}{2} \times 11 \times 8[/tex]

[tex]\bullet \ \ \tex\text{Area of triangle:} = 11 \times 4[/tex]

[tex]\boxed{\bold{\tex\text{Area of triangle:} = 44 \ \tex\text{yd}^{2}}}[/tex]

Answer:

about 42 the not rounded is 41.6

Answer:

60

Step-by-step explanation:

Multiply to find that the answer is: 41.6

To estimate, simply round the numbers before multiplying. That would be thirty percent of 200. The answer is 60. This is close to 41.6 and is a reasonable estimate.

77a)

[tex]y=0.5x-2\implies y=\cfrac{x}{2}-2\implies \stackrel{x-intercept}{0=\cfrac{x}{2}-2} \\\\\\ 2=\cfrac{x}{2}\implies 4=x\qquad \qquad \boxed{(4~~,~~0)} \\\\\\ \stackrel{y-intercept}{y=0.5(0)-2}\implies y=-2\qquad \qquad \boxed{(0~~,~~-2)}[/tex]

77b)

[tex]y=-0.4x+2\implies y=-\cfrac{4x}{10}+2\implies y=\cfrac{2x}{5}+2 \implies \stackrel{x-intercept}{0=\cfrac{2x}{5}+2} \\\\\\ -2=\cfrac{2x}{5}\implies -10=2x\implies \cfrac{-10}{2}=x\implies -5=x~\hfill \boxed{(-5~~,~~0)} \\\\\\ \stackrel{y-intercept}{y=-0.4(0)+2}\implies y=2\qquad \qquad \boxed{(0~~,~~2)}[/tex]

Solution:

Note that:

Let's substitute x as 2 to find out y.

Let's substitute x as 4 to find out y.

Final answer:

Option B is correct.

Answer:

Q8 It is because the data collected are too scattered and cannot show an obvious trend.

if it's correct pls mark brainliest tks

Answer:

384sqrt3

Step-by-step explanation:

The formula for the area of a hexagon is A = 3sqrt3 times s^2 /2

Plug in s = 16 to get A = 3sqrt3 times 16^2 (256) / 2

3sqrt3 times 256 is 768sqrt3

You divide that by 2 to get 384sqrt3

The events of rainfall and having a full moon on a given date are illustrations of probability

The probability that there will be rainfall and a full moon on that date is 0.0049

From the question, we have the following parameters

P(A) = 1/7 --- the probability that it rains

P(B) = 1/29 --- the probability of having a full moon

So, the probability that is rains and there is a full moon on a given day is:

[tex]p = \frac 17 * \frac 1{29}[/tex]

Simplify

[tex]p = 0.0049[/tex]

Hence, the probability that there will be rainfall and a full moon on that date is 0.0049

Read more about probability at:

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Answer:

a. x = [tex]\frac{1}{12}[/tex]

b. [tex]\frac{1}{4}[/tex] = 1x

c. 3x = [tex]\frac{3}{3}[/tex]

d. x = [tex]\frac{1}{20}[/tex]

e. x = [tex]\frac{10}{3}[/tex]

Answer:

Step-by-step explanation:

First add what you have.

Sum = 5 + 7 +7+8 + x + 5 + 4 +3 + 1 +2

Sum =  x + 42

Now when you divide this by the number of terms, you get

(x + 42) / 10

The answer is 4.5

(x + 42) / 10 = 4.5                 Multiply by 10

x + 42 = 4.5 * 10

x + 42 = 45                           Subtract 42

x = 45  - 42

x = 3

Answer:

13.33

Step-by-step explanation:

Write the equation for an inverse variation

⇒ y = k/x

Where x is degrees and y is minutes

Substitute 20 and 20 for x and y

⇒ 20 = k/20

Multiply both sides by 20 to solve k

⇒ 20 × 20 = 20 × k/20

⇒ k = 400

After solving for k, write an equation for the inverse variation

⇒ y = 400/x

Substitute 30 for x

⇒ y = 400/30

⇒ y = 40/3

⇒ y = 13.3333333333

⇒ y = 13.33

[RevyBreeze]

Answer:

Answer B
z = 15

Step-by-step explanation:

The question is asking you what the value of each triangle would be if the total was 45 (The square). A equation for this would be:
45 = 3z

divide 3 on both sides to get:

15 = z

Answer:

40 miles per hour and .025 hours per mile

Step-by-step explanation:

480/12=40

12/480 = .025

Answer:

116.663333333 repeating

Step-by-step explanation:

do 349.99 divided by 3