LESSON 5-3 Applications of Percent Practice and Problem Solving: A/B the whole thi g I'm very confused
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Answer:

120 or 120%, hope this helps!

Step-by-step explanation:

Answer:

In 2008.

Step-by-step explanation:

The function:

[tex]y=4.2\sqrt{0.28x-1}[/tex]

Models the annual number of visitors to an amusement park, where y is the number of visitors (in millions) and x is the number of years since 1975.

We want to determine the first year in which the amusement park had 12 million visitors.

So, we will set y equal to 12 and solve for x. This yields:

[tex]12=4.2\sqrt{0.28x-1}[/tex]

By dividing both sides by 4.2, we acquire:

[tex]\displaystyle \frac{12}{4.2}=\frac{120}{42}=\frac{20}{7}=\sqrt{0.28x-1}[/tex]

And by squaring both sides:

[tex]\displaystyle \frac{400}{49}=0.28x-1[/tex]

Adding 1 to both sides produces:

[tex]\displaystyle \frac{400}{49}+1=\frac{449}{49}=0.28x[/tex]

And finally, dividing both sides by 0.28 gives us the approximation:

[tex]\displaystyle x=\frac{449}{49}\cdot \frac{1}{.28}=\frac{11225}{343}\approx32.72\approx33[/tex]

So, 33 years after 1975, the amusement park will have 12 million annual visitors.

Therefore, the first year in which the amusement park will have 12 million annual visitors is in the year 2008.

Answer:

(95/12,0)

Step-by-step explanation:

Answer:

(7.916, 0)

Step-by-step explanation:

In order to find the X-intercept, let y=0

12x + 5(0) = 95

12x = 95

95/12x = 7.91666...

Therefore, the x intercept is (7.916, 0)

Answer:

8 7/99, Decimal. (8.07 repeated)

Step-by-step explanation:

Hi there! :)

[tex]\large\boxed{\text{ x = 9}}[/tex]

The two angles pictured are vertical angles, therefore:

8x - 6 = 6x + 12

Solve for x by subtracting 6x from both sides:

2x - 6 = 12

Add 6 to both sides:

2x = 18

Divide both sides by 2:

x = 9.

Answer:

9 is ur answer

Step-by-step explanation:

8x-6=6x+12

8x-6x=12+6

2x=18

x=9

Hope this helps u...

Step-by-step explanation:

General line equation: y = mx + c, where m is the slope of the line and c is the y-intercept.

We have y = ax + b.

=> y - b = ax

=> y - b = a(x - 0).

The answer is option A.

Answer:

A

[tex]general \: equation \: of \: line \\ y = mx + c \\ from \: the \: data \: given \\ m = a \\ c = b \\ y = ax + b \\ y - b = ax \\ y - b = a(x - 0)[/tex]

Answer:

study my ___________ I hope it helps

Answer:

EF = 8.8 cm

Step-by-step explanation:

In the given right angled ΔDEF, DE is the hypotenuse while EF and DF are adjacent sides. So that applying the Pythagoras theorem, we have;

[tex]/hyp/^{2}[/tex] = [tex]/adj1/^{2}[/tex] + [tex]/adj2/^{2}[/tex]

[tex]/DE/^{2}[/tex] = [tex]/EF/^{2}[/tex] + [tex]/DF/^{2}[/tex]

[tex]/16.2/^{2}[/tex] = [tex]/EF/^{2}[/tex] + [tex]/13.6/^{2}[/tex]

262.44 = [tex]/EF/^{2}[/tex] + 184.96

[tex]/EF/^{2}[/tex] = 262.44 - 184.96

          = 77.48

EF = [tex]\sqrt{77.48}[/tex]

     = 8.8023

EF = 8.8 cm

The length of side EF is 8.8 cm.

The proper way to write this sentence would be:

If it is Monday then there is chicken for lunch.

May I have brainliest please? :)

Answer:

Step-by-step explanation: It’s C thank me later

The equation produces the values in the table is y = x/4

Mathematically, an equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”.

For example, 2x – 5 = 13.

Given is table (attached) we need to determine an equation that produces the values in the table,

So, seeing the value it is much that the value of x are the 4 times of the values of y,

So, we can write,

4y = x

or, y = x/4

Hence, the equation produces the values in the table is y = x/4

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Answer:

sorry im doing a challenge but i will have someone answer it    

Step-by-step explanation:

Answer:

The common factors of 9 are  1, 3, and 9.

The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 38.

Step-by-step explanation:

30% of lightbulbs = 45 lightbulbs

100% of lightbulbs

= 45 * (100/30) = 150 lightbulbs.

Hence there are 150 lightbulbs in the batch.

Answer:

The answer is 14 minutes

Step-by-step explanation:

Subtract your total and divide what you have left. $20 - $18.04 = $1.96

You spent a total of $1.96

Divide that by 0.14 how much per minute and you get 14 minutes.

Answer:

23°

Step-by-step explanation:

Let the missing angle be x

Reference angle = missing angle = x

Opposite side to x = 14

Hypotenuse = 36

Applying trigonometric ratio, we have:

[tex] sin(x) = \frac{14}{36} [/tex]

[tex] x = sin^{-1}(\frac{14}{36}) [/tex]

x = 23° (to the nearest degree)

Answer:

y = 5x - 3

Step-by-step explanation:

The Slope of a Line

Suppose it's given a line that passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The equation of the line in slope-intercept form is:

y=mx+b

Where:

m = slope  

b  = y-intercept.

We are given the points (-1,-8) and (3,12). Compute the slope:

[tex]\displaystyle m=\frac{12+8}{3+1}=\frac{20}{4}=5[/tex]

The equation of the line now has one known value:

y = 5x + b

Let's use the point (3,12) to find the value of b:

12  = 5(3) + b = 15 + b

Solving for b:

b = 12 - 15 = -3

The required equation of the line is:

y = 5x - 3

Answer:

what

Step-by-step explanation:

that doesnt make any sense

Answer: 0.375

Step-by-step explanation:

Answer:

Denpeds on the left hand side of nagetive of the inequality sign

Answer:

The solution to the system of equation is: (-2,3)

Step-by-step explanation:

We need to find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8

I am placing steps for each point given

1. Isolate x in the first equation:

First equation is:

x+3y=7

Isolating x:

x=7-3y

2. Substitute the value for x into the second equation:

Second equation is:

2x+4y=8

Putting value of x: x=7-3y

2(7-3y)+4y=8

3. Solve for y:

2(7-3y)+4y=8

Multiply 2 with terms inside the bracket

14-6y+4y=8

-2y=8-14

-2y=-6

y=-6/-2

y=3

So, we get value of y: y=3

4. Substitute y into either original equation:

Putting value of y: y=3 in equation 1

x+3y=7

x+3(3)=7

x+9=7

x=7-9

x=-2

So, we get value of x: x=-2

5. Write the solution as an ordered pair:

After solving the equation we get:

x = -2 and y = 3

The ordered pair is: (-2,3)

Answer:

-2,3

Step-by-step explanation:

Isolate x in the first equation:

Substitute the value for x into the second equation:

Solve for y

Please give me brainiest

Answer:

119

Step-by-step explanation:

Answer:

x = (7,0)

y = (0,1)

Step-by-step explanation:

Answer:

hope my answer is helpful to you

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As QR is parallel to ST Rs is parallel TU QS is congruent to SU the measure of their included angle is also same ∠QRS ≅ ∠STU.

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

Given, Line segment QR is parallel to line segment ST.

Line segment RS is parallel to line segment TU, And line segment QS is similar to line segment SU.

So, The included angle of two pairs of parallel lines will also be the same as

line segment QS is similar to line segment SU.

∴ ∠QRS is similar to ∠STU.

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Answer:

D

the answer is D because when you multiply 3(8 + 3x), it will give you 24+9x

3(8 + 3x)  is not equivalent to 24 + 6x.

Option D expression is not equivalent to 24 + 6x.

An expression or algebraic expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them.

According to the question

Expression is NOT equivalent to 24 + 6x

A . 2(3x + 12)

= 2(3x) + 2(12)

= 6x  + 24

= 24 + 6x

B. 28 + 4x – 4 + 2x

= (28 - 4) + (4x + 2x)

= 24 + 6x

C. 5x + 7 + x + 17

= (5x + x) + (7 + 17)

= 6x + 24

= 24 + 6x

D. 3(8 + 3x)

= 3(8x) + 3(3x)

= 24 + 9x

Hence, Option D is not equivalent to 24 + 6x.

3(8 + 3x)  is not equivalent to 24 + 6x.

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Answer:

Jk= 27

LM= 22

KL= 16

MJ=16

Answer:

JK=27

LM=27

KL=16

MJ=16

Step-by-step explanation:

JK=4x+7

=27

LM=5x+2

=27

KL=2y-2

=16

MJ=y+7

=16

so, JK= 27 and KL=16

(I hope u got it)