Which of the following equations describes the line shown below ?

Answer:

x=360

Step-by-step explanation:

Multiply both sides by 10

x*10=0.8x*10+72*10

Refine

x*10=8x+720

subtract 8x from both sides

x*10-8x=8x+720-8x

simplify

2x=720

Divide both sides by 2

2x/2 = 720/2

Simplify

x=360

Hope this helped !!!!!

The solution to the equation x = 0.8x + 72 is x = 360.

Given the equation in the question:

x = 0.8x + 72

To solve the equation x = 0.8x + 72, we need to isolate the variable "x" on one side of the equation.

x = 0.8x + 72

Start by moving the term 0.8x to the other side of the equation.

Subtract 0.8x from both sides:

x - 0.8x = 0.8x - 0.8x + 72

x - 0.8x = 72

0.2x = 72

Now, divide both sides of the equation by 0.2 to solve for "x":

0.2x / 0.2  = 72 / 0.2

x = 72 / 0.2

x = 360

Therefore, the value of x is 360.

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Answer:

40 percent off

Step-by-step explanation:

40 percent off 80.00 is 48.00

This question is incomplete.

Complete question

The sets of data below show the heights, in inches, of students in two different preschool classes.

A) a box plot titled class 1.

The number line goes from 38 to 49. the whiskers range from 39 to 48, and the box ranges from 40 to 43. a line divides the box at 41.

class 1

B) A box plot titled class 2.

The number line goes from 38 to 49. the whiskers range from 38 to 49, and the box ranges from 39 to 42. a line divides the box at 41.

class 2

The teachers of the two classes want to compare the heights of their students. Which statements about the data sets are accurate? Select three options.

• Because the sets are symmetrical, the mean should be used to compare the data sets.

• Because the sets do not contain outliers, the MAD should be used to compare the data sets.

•Because the sets are not symmetrical, the IQR should be used to compare the data sets.

•Because the sets contain outliers, the median should be used to compare the data sets.

•The mean and mode cannot be accurately determined based on the type of data display.

Answer:

• Because the sets are not symmetrical, the IQR should be used to compare the data sets.

• Because the sets contain outliers, the median should be used to compare the data sets.

• The mean and mode cannot be accurately determined based on the type of data display.

Step-by-step explanation:

In the above question, we can see that a teacher intends to compare the heights of students from two different classes.

Because the data sets to be obtained would contain heights from different classes the results obtained would be non symmetrical.

Hence the best statistical analysis to use to solve for or to compare a set of non symmetrical data is known as either the Median or an Interquartile range.

It is important to note that a non symmetrical data would most likely contain or include the presence of outliers.

Answer:

C, D, E.

Step-by-step explanation:

If your seeing this it means your finnaly doing your 67 missing assignments. I'm proud

Answer:

approximately 112.86 away from any direction away from the radio station.

A= 4521.07mi²

10^3 x 10^9 = 10^12

Step-by-step explanation:

Given that,

10^3 x 10^9

The bases of the 2 terms are same (10) and the power of the terms are 3 and 9

As the base of the 2 terms are same and the bases are in multiplication form we can add up the powers.

So,

10^3 x 10^9 = 10^(3+9)

= 10^12

Answer:

D Is the answer on edge

Step-by-step explanation:

hope this helps!

The product of the polynomials √(5x) and √(x²) - 2√(x) will be 8√(5x) - 2x√5.

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

The polynomials are given below.

√(5x) and √(8²) - 2√(x)

The product of the polynomials √(5x) and √(x²) - 2√(x) will be given as,

⇒ [√(5x)] [√(8²) - 2√(x)]

⇒ √(5x)√(8²) - 2√(x)√(5x)]

⇒ 8√(5x) - 2x√5

The product of the polynomials √(5x) and √(x²) - 2√(x) will be 8√(5x) - 2x√5.

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Answer:

-4 and 9

Step-by-step explanation:

factored

(x - 9)(x + 4) = 0

with   this  x*x - 5x - 36 = 0

so  x = 9  or  x = -4

The answer is C. There are infinitely many solutions.

Answer:

Step-by-step explanation:

trg CDE ,<C=<E=(180-20)/2=80

trg ABC,<C=80

<A=180-(80+52)=180-132=48

so <F=<A=48 grades

The answer is attached.

Answer:

Should be 34

Step-by-step explanation:

Answer:

∠C=34

Step-by-step explanation:

The interior angles of a triangle add to 180 degrees, so

∠A +∠B+ ∠C=180

We know that ∠A is 108, and ∠B is 38, so we can substitute them in

108+38+∠C=180

Combine like terms by adding 108 and 38

146+∠C=180

Subtract 146 from both sides

∠C=34

Answer:

48 cups of orange juice,  24 containers.

Step-by-step explanation:

Given:

Jackie used 5 times as much water as concentrate to make orange juice.

There were 32 more cups of water than concentrate.

Question asked:

How much juice did she make in all ?

She poured the juice in 2 quart containers how many containers could she fill ?

Solution:

Let concentrate used in the juice = [tex]x[/tex]

As Jackie used 5 times as much water as concentrate:

Then water  used in the juice = [tex]5x[/tex]

According to question:

To make orange juice 32 more cups of water used than concentrate is equals to to make orange juice, Jackie used 5 times as much water as concentrate, we will write this as:-

[tex]x+5x=x+x+32\\6x=2x+32\\[/tex]

Subtracting both sides by [tex]2x[/tex]

[tex]4x=32\\[/tex]

Dividing both sides by 4

[tex]x=8[/tex]

Concentrate used in the juice = [tex]x[/tex] = 8 cups

Water  used in the juice = [tex]5x[/tex] = [tex]5\times8=40\ cups[/tex]

Total quantity of juice =8 + 40 = 48 cups

Thus, she made 48 cups of orange juice for her basketball team.

Now, as she poured the juice in 2 quart containers, we have to find number of containers could be filled, we will simply divide total quantity of juice by 2 quart

Number of 2 quart containers = 48 cups [tex]\div[/tex] 2 = 24 containers

Thus, she can fill 24 containers.

Answer: 0.46, 0.056, the distribution is approximately normal

Step-by-step explanation: The shape is approximately normal since the expected number of successes equals 36.8 and the expected number of failures equals 43.2 are both larger than 10

Answer:

D

Step-by-step explanation:

Vus vi velt  vike vit

The box plot that represents the data, 0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9, is shown in the diagram attached below. (Option A).

A box plot is a graphical representation of the five-number summary of a data set.

The five-number summary comprises of: minimum value, maximum value, lower quartile (Q1), median, and upper quartile (Q3).

Find the five-number summary of the data set, 0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9:

Minimum = 0

Maximum = 9

Median = 3

Q1 = 1

Q3 = 5

Therefore, the box plot that represents the data, 0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9, is shown in the diagram attached below. (Option A).

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Answer:

1/5

Step-by-step explanation:

We can find the slope of a line passing through two points by using the following

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

    = (-9 - -4)/(-3 - 22)

    = (-9+4)/(-25)

    = -5/ -25

   = 1/5

The slope of the line that passes through the points (22,-4) and (−3,-9) is calculated using the formula for slope. When calculated, the slope is found to be 1/5

The slope of a line passing through two given points can be calculated using the formula: m = (y2 - y1) / (x2 - x1). Here, (x1, y1) and (x2, y2) are the coordinates of the two points.

In the given question, the points are (22,-4) and (−3,-9). When the values are entered into the formula, we obtain:

m = (-9 - (-4)) / (-3 - 22) = -5 / -25 = 1/5

So, the slope of the line passing through the points (22,-4) and (−3,-9) is 1/5.

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Answer:

8(x+3)

Step-by-step explanation:

The Reason being it is the total of x and 3 times 8.

For it to be 8x+3 you would write it eight times x plus three or eight x plus three

Option A - 8 (x + 3) correctly represents the verbal phrase.

We have the following statement -

8 times the total of x and 3

We have to select the choice that translates the above verbal phrase correctly to algebra.

The mathematical statement for the above phrase is - n x (a + b)

In the question given to us we have - 8 times the total of x and 3

The mathematical statement for the above phrase will be -

8 (x + 3)

Hence, Option A correctly represents the verbal phrase.

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Answer:

37/8

Step-by-step explanation:

Subtract 8x from both sides and get 8x+9=46 subtract 9 from both sides and get 8x=37 divide by 8 and get 37/8

Answer:

x=4.625

Step-by-step explanation:

16x+9=8x+46

-8x

8x+9=46

-9

8x=37

/8

x=4.625

Answer:

Make all sides right angles

Step-by-step explanation:

Answer: B.

Step-by-step explanation:

A square must have 4 right angles and perpendicular congruent diagonals which already meets the requirements of a rhombus.

Answer:

Circle Area = PI * radius^2

Area = PI * 8.5^2

Area = 226.98

Area = 227 square meters

Step-by-step explanation:

Answer:

C =29.998°

Step-by-step explanation:

To find the measure of angle C if tan C = 0.5773, we will follow the steps below;

tan C = 0.5773

take the tan⁻¹ of both-side of the equation

that is;

 tan⁻¹ tan C =  tan⁻¹0.5773

On the left-hand side of the equation tan and  tan⁻¹ will cancel-out leaving us with just c

C =  tan⁻¹0.5773

C =29.998°

C≈30°

Answer:

Cylinder A: 603.508

Cylinder B: 602.88

Step-by-step explanation:

Cylinder A:

V=[tex]\pi[/tex][tex]r^{2}[/tex]h

v=[tex]6.2^{2}[/tex]*5*3.14

V=38.44*5*3.14

V=192.2*3.14

V=603.508

Cylinder B:

V=[tex]\pi[/tex][tex]r^{2}[/tex]h

V=[tex]4^{2}[/tex]*12*3.14

V=16*12*3.14

V=192*3.14

V=602.88

Answer: The probability that she would choose cake is 0.33 (or 33%)

Step-by-step explanation: The number of all possible outcomes is given as follows;

4 (ice cream) + 3(cake) + 2(pie), that is 4 + 3 + 2 = 9  

This means there is a possibility of 9 different outcomes if she decided to choose her dessert at random.

However, there are 3 flavors of cake available which means the possibility of choosing cake is 3.

Therefore the probability that she will choose a cake is give as,

P(Cake) = Number of required outcomes/Number of all possible outcomes

P(Cake) = 3/9

P(Cake) = 1/3 or 0.33

Therefore the probability that she would choose cake is 0.33 or 33%

Answer:

After a Week(7 days)

[tex]Purse \:A: \$2200\\Purse B: \$0.64[/tex]

After 2 Weeks(14 days)

[tex]Purse \:A: \$3600\\Purse B: \$81.92[/tex]

After 3 Weeks(21 days)

[tex]Purse \:A: \$5000\\Purse B: \$10485.76[/tex]

After 30 days

[tex]Purse \:A: \$6800\\Purse B: \$5368709.12[/tex]

Therefore, Purse B contains more money after 30 days.

Step-by-step explanation:

Purse A

The amount of money($1000) in purse A for each consecutive day grows with $200. The sequence is written as:

1000,1200,1400,...

This is an arithmetic sequence with the first term being $1000 and the common difference $200.

Therefore, for any number of day, n, the amount of money in the purse,

[tex]T_n=1000+200(n-1)[/tex]

Purse B

1 Penny=$0.01

The amount of money(1 Penny) in purse B for each consecutive day doubles. The sequence is written as:

0.01,0.02,0.04,...

This is a geometric sequence with the first term being $0.01 and the common ratio 2.

Therefore, for any number of day, n, the amount of money in  purse B,

[tex]T_n=0.01(2)^{n-1}[/tex]

After a Week(7 days)

[tex]Purse \:A: T_7=1000+200(7-1)=\$2200\\Purse B: T_7=0.01(2)^{7-1}=\$0.64[/tex]

After 2 Weeks(14 days)

[tex]Purse \:A: T_{14}=1000+200(14-1)=\$3600\\Purse B: T_{14}=0.01(2)^{14-1}=\$81.92[/tex]

After 3 Weeks(21 days)

[tex]Purse \:A: T_{21}=1000+200(21-1)=\$5000\\Purse B: T_{21}=0.01(2)^{21-1}=\$10485.76[/tex]

After 30 days

[tex]Purse \:A: T_{30}=1000+200(30-1)=\$6800\\Purse B: T_{30}=0.01(2)^{30-1}=\$5368709.12[/tex]

Final answer:

After calculating daily increases for Purses A and B over several time frames, it's evident that Purse B, which doubles its amount every day, holds a vastly greater sum after 30 days, illustrating the power of compound interest.

Explanation:

Calculating Growth in Purses A and B

Let's start by determining the amount in each purse after one week (7 days) and after two weeks (14 days). Purse A gains $200 more each day, starting with $1,000 on day 1. Purse B's amount doubles every day, beginning with 1 penny on day 1.

For Purse A, we can calculate the total after one week as:

$1,000 + (6 days × $200/day) = $1,000 + $1,200 = $2,200

After two weeks (14 days):

$1,000 + (13 days × $200/day) = $1,000 + $2,600 = $3,600

For Purse B, since the amount doubles each day, we use the power of 2 to represent the growth:

After one week (7 days):

1 penny ×  [tex]2^6[/tex] = 64 pennies (because we don't count the first day)

After two weeks (14 days):

1 penny ×  [tex]2^13[/tex]= 8,192 pennies, or $81.92

After three weeks (21 days) for Purse A we get:

$1,000 + (20 days × $200/day) = $1,000 + $4,000 = $5,000

And for Purse B:

1 penny × [tex]2^{20}[/tex] = 1,048,576 pennies, or $10,485.76

Now, let's see which purse contains more money after 30 days:

Purse A: $1,000 + (29 days × $200/day) = $1,000 + $5,800 = $6,800

Purse B: [tex]1 penny \times 2^{29} = 536,870,912 \ pennies \, \ or\ \$\ 5,368,709.12[/tex]

After 30 days, Purse B contains significantly more money due to the power of compound interest.

Answer: Option: (B) The range of both f(x) and g(x) is all nonzero real numbers is correct.

Step-by-step explanation: ..................Because I said so............................

Answer:

B

Step-by-step explanation:

The required area of the circle with a radius of 7 ft is given as 153.9 ft².

The area of the circle is given by the pie times square of the radius. Or defined as the area enclosed within the circumference of the circle.

here,
Area of the circle = πr²

From the given data radius is 7ft,
plugging the value in the area formula of the circle,
Area of the circle = 3.14 × 7² = 153.9 ft²

Thus, the required area of the circle with a radius of 7 ft is given as 153.9 ft².

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Answer:

The Answer is the first one, A                                            

Step-by-step explanation:

Answer:

a.

Step-by-step explanation:

Find the slope using the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction, and then substitute one point and the slope into the equation y = m x + b to find the y-intercept.

Answer:

up to $338.18

Step-by-step explanation:

Use the compound amount formula:

A = P(1 + r/n)^(n*t), where r is the interest rate as a decimal fraction and n is the number of compounding periods per year.

Here, A = $300(1 + 0.04/12)^(12*3), or

          A = $300(1.0033333)^*36, or

          A = $300(1.127) = $338.18

Nina will be able to spend up to $338.18 on a new bike.

f(19) represents the volume difference of 729 cm^3, and f(14) represents the volume difference of 64 cm^3 between the larger cube and the smaller cube.

The function f(x) = (x-10)^3 represents the volume difference between a larger cube and a smaller cube.

When we calculate f(19), it means we are finding the volume difference when the volume of the larger cube is 19 cm^3. Similarly, when we calculate f(14), it represents the volume difference when the volume of the larger cube is 14 cm^3.

So, f(19) represents the volume difference when the larger cube has a volume of 19 cm^3, and f(14) represents the volume difference when the larger cube has a volume of 14 cm^3.

If we calculate the values:

- f(19) = (19-10)^3 = 9^3 = 729 cm^3

- f(14) = (14-10)^3 = 4^3 = 64 cm^3

Therefore, f(19) represents the volume difference of 729 cm^3, and f(14) represents the volume difference of 64 cm^3 between the larger cube and the smaller cube.

Answer:

x ≤ 42 dollars

Step-by-step explanation:

Deon will buy at most 7 pounds, and we know that it costs 6 per pound, so we multiply 7 and 6 to get 42. Deon will not buy over 7 pounds, so that means less than or equal to.

5914 1404 393

Answer:

  C.  Incenter

Step-by-step explanation:

The point of intersection of angle bisectors is the incenter. It is the center of an inscribed circle.

__

Other centers are ...

  circumcenter - intersection of side perpendicular bisectors. The center of a circumscribed circle.

  centroid - the intersection of medians

  orthocenter - the intersection of altitudes