after 8% discount from the list price, the sale price price of a poster was $17.48. what was the list price of poster.

Answer:

There are no solutions

Step-by-step explanation:

4x-1 = 2(2x-1)

The first step is to distribute the 2

4x-1 = 2*2x-2*1

4x-1 = 4x-2

Subtract 4x from each side

4x-4x-1 = 4x-4x-2

-1=-2

Since this is not true, there are no solutions

Answer:

see explanation

Step-by-step explanation:

(4 + i) → first quadrant

(- 2 + 2i) → second quadrant

(- 1 - 3i) → third quadrant

(3 - 4i) → fourth quadrant

Answer:

He needs 4 1/3 buckets of fish.

Step-by-step explanation:

140 - 75 = 65 pounds of fish left to eat

15x = 65

x = 65 / 15

x = 4  1/3 buckets of fish left to eat

Answer: Draw a line through the two points (0,2) and (3,3). See the attached image below.

How did I get these two points? The first point comes from the fact that "at the start, the height is 2 inches" meaning that x = 0 hours and y = 2 inches pair up together. This is show as point A. This is the y intercept as this is the location where the blue graph crosses the vertical y axis.

Point B is found by moving 1 unit up from point A and 3 units to the right to land on (3,3). So we have x = 3 hours and y = 3 inches pair up together.

Note: the slope is rise/run = 1/3 helping us determine the unit rate or speed in which the water is rising (ie the water is rising one-third of an inch per hour)

Answer:

see explanation

Step-by-step explanation:

To factorise the quadratic consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x term.

product = 2 × - 6 = - 12 and sum = + 11

The factors are + 12 and - 1

Use these factors to split the middle term

2x² + 12x - x - 6 = 0 ( factor the first/second and third/fourth terms )

2x(x + 6) - 1(x + 6) = 0 (factor out (x + 6) )

(x + 6)(2x - 1) = 0

equate each factor to zero and solve for x

x + 6 = 0 ⇒ x = - 6

2x - 1 = 0 ⇒ x = [tex]\frac{1}{2}[/tex]

Answer:

14 cookies were baked

Step-by-step explanation:

Using a system of equations, we find that 21 cookies were sold after setting up the equations based on cost per item and total sales, and solving for the two variables representing cookies and cupcakes.

The student's question is about how many cookies were sold given that a cookie costs $0.45 and a cupcake costs $0.65, and 35 baked goods in total were sold for $18.55.

To solve this, we can set up a system of equations:

Let x represent the number of cookies sold.

Let y represent the number of cupcakes sold.

We are given two equations based on the problem statement:

x + y = 35 (since 35 total baked goods were sold)

0.45x + 0.65y = 18.55 (since the total cost of the goods sold was $18.55)

Solving the system of equations, we first multiply the first equation by 0.45:

(1) 0.45x + 0.45y = 15.75

Subtract this from the second equation:

0.20y = 2.80 (subtracting the first modified equation from the second original equation)

Divide both sides by 0.20 to find y:

y = 14

Then we substitute y into the first equation to find x:

x + 14 = 35

x = 21

So 21 cookies were sold.

⭕ 11\16= %

⭕ 11÷16= 68.75%

⭕ 68.75%

To convert a fraction to a percentage, we would multiply the fraction by 100%, and the result would be the percentage.

In this case:

11/16 x 100%

=0.6875 x 100%

=68.75%

Therefore the answer is 68.75%

Hope it helps!

Answer:

FALSE

Step-by-step explanation:

  F = (N - O)/R     Multiply both sides by R

RF = N – O          Divide both sides by F

 R = (N – O)/F

FALSE. The given solution is incorrect.

Final answer:

The statement provided is false. The correct formula for vascular resistance R in terms of blood flow F, inlet pressure N, and outlet pressure O should be R = (N - O) / F.

Explanation:

The statement is false. The correctly solved equation for vascular resistance R, based on the formula F = (N - O) / R where F is blood flow rate, N is the pressure at the inlet, O is the pressure at the outlet, would be R = (N - O) / F. If we isolate R in the equation by multiplying both sides by R and dividing by F, we would get R = (N - O) / F, not R = F + O - N as incorrectly stated in the question.

To further understand the relationships among the factors affecting blood flow, the Poiseuille's equation plays a significant role. This equation includes critical variables like the radius (r) to the fourth power, vessel length (λ), and viscosity (n) of the fluid. Changes in these variables can significantly affect blood flow and resistance within the vascular system.

Answer:

E

Step-by-step explanation:

57 - 36 =  21              6 - 4 = 2 seconds

21 ÷ 2 = 10.5

Answer:

The average speed of runner is given by option d) 10.5 meters per second.

Step-by-step explanation:

We are given the following information in the question:

A runner’s time was 4 seconds at the 36-meter mark.

A runner’s time was 6 seconds at the 57-meter mark.

Formula:

[tex]\text{Average speed} = \displaystyle\frac{y_2-y_1}{x_2-x_1}\\\\\text{where}, y_2, y_1 \text{are the distances at time} x_2, x_1 \text{respectively.}[/tex]

Putting the given values in the question, we have:

[tex]\text{Average speed} = \displaystyle\frac{57-36}{6-4} = \frac{21}{2} = 10.5\text{ meter per second}[/tex]

Hence, the average speed of runner is given by option d) 10.5 meters per second.

Answer:

a

Step-by-step explanation:

all that happned was community property if numbers are switced around in an addition sentence then the answer will always be the same

Answer:  The correct option is (B) 55°.

Step-by-step explanation:  We are given to find the measure of angle 1 in the trapezoid shown in the figure.

We know that

one pair of sides of a trapezoid are parallel to each other.

As shown in the figure, the base of the trapezoid and its opposite side are parallel to each other.

Also, they are cut by a tranversal such that the angle 1 and the angle with measure 125°  are interior angles on the same side of the transversal.

So, the sum of the measures must be equal to 180°.

That is,

[tex]125^\circ+m\angle 1=180^\circ\\\\\Rightarrow m\angle 1=180^\circ-125^\circ\\\\\Rightarrow m\angle 1=55^\circ.[/tex]

Thus, the required measure of angle 1 is 55°.

Option (B) is CORRECT.

Answer:

Well, since they are lined up correctly already, you can combine the like terms and get 4x + 3y = 2.

Is that all you wanted?

Answer:

A) 3x - y = -5

B) x + 4y = 7

Whenever you have to solve for 2 unknowns, you need 2 equations.  (These are called solving simultaneous equations.)

Perhaps the easiest way to solve these is by the elimination of variables.

Looking at Equation A) we see that if we multiply it by 4, and add it to equation B), the "y" variable will be eliminated.

Multiplying equation A) by 4 we get

A) 12x - 4y = -20   then adding this to B)

B) x + 4y = 7   we get

EDITD TO CORRECT**************************************************

13x = -13

x = -13 / 13= -1

Then we can get x = -1 and insert it into either equation.  (Let's choose B)

B) -1 + 4y = 7

B) 4y = 8

y = 2

*******************************************************************************************

For a double-check we can insert x = -1 and y = 2 into either equation.  (Let's choose equation B)

B)  -1 + 4 * 2 = 7

B)  -1 + 8 = 7

And since -1 + 8 DOES equal 7, we know that we have solved for "x" and "y" correctly!

Source:

https://en.wikipedia.org/wiki/System_of_linear_equations

Elimination of variables

Step-by-step explanation:

Answer:

A. 50%; This percentage is lower than expected in a normal distribution

Answer:

A) 50%; This percentage is lower than expected in a normal distribution.

Step-by-step explanation:

Data points given:

55, 54, 66, 38, 53, 56, 57, 66, 45, 65

n = 10

The mean for the data points:

[tex] \frac{55+54+66+38+53+56+57+66+45+65}{10} [/tex]

Mean = 55.5

Standard deviation of data points:

[tex] = \sqrt{\frac{55-55.5)^2+(54-55.5)^2+(66+55.5)^2+(38-55.5)^2+(53-55.5)^2+(56-55.5)^2+(57-55.5)^2+(66-55.5)^2+(45-55)^2+(65-55)^2}{10}} [/tex]

= 8.59

Now let's find the data points that lie between 64.09 i.e (55.5 + 8.59) and 46.91 i.e (55.5-8.59)

We can see that 5 data points lie between 64.09 and 46.91 which are { 55,54,53,56,57}

The correct option is A, which states that 50% percentage is lowee than expected.

Answer:

x=6.33

Step-by-step explanation:

4=3x-15

19=3x

6.33=x

f(4) This means that x is 4, so you can plug in 4 for "x" in the equation

f(x) = 3x - 15

f(4) = 3(4) - 15

f(4) = 12 - 15

f(4) = -3

Answer:

2496144

Step-by-step explanation:

Total number of members of the senate on the finance committee (n)= 24

Number of members in each subcommittee(r) = 13

We need to make use of the combinations formula

C(n,r) = [tex]\frac{n!}{r!(n-r)!}[/tex]

1) Plugging in the values of n and r into formula, we get

C(24,13) = [tex]\frac{24!}{13!(24-13)!}[/tex]

= [tex]\frac{24!}{13!*11!}[/tex]

= [tex]\frac{24*23*22*21*20*19*18*17*16*15*14*13!}{13!*11!}[/tex]

2) Cancelling out the 13! from the top and bottom, we get

= [tex]\frac{24*23*22*21*20*19*18*17*16*15*14}{11!}[/tex]

= [tex]\frac{24*23*22*21*20*19*18*17*16*15*14}{11*10*9*8*7*6*5*4*3*2*1}[/tex]

3) Upon simplifying the numbers on the top and bottom, we get

C(24,13) = 2496144

Answer:

47.8% increase, or B since it's the closest.

Step-by-step explanation:

Answer:The answer to this problem is actually 69.9%

Step-by-step explanation:

Answer:

the third one............ not the second

Step-by-step explanation:

The graph of the absolute function f(x) = |2x| is option B

The graph of an absolute function, also known as an absolute value function, is a V-shaped graph that is symmetric with respect to the y-axis. The absolute value function is defined as:

f(x) = |x|,

where |x| represents the absolute value of x.

The graph of the absolute value function consists of two parts:

Using a graphing calculator;

f(x) = 2|x|

The graph of the function is attached below;

From the graph attached below the answer is option B.

Learn more on graph of an absolute function here;

https://brainly.com/question/25910324

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Answer:

do it urself

Step-by-step explanation:

The surface area of a box is the sum of the areas of all the rectangular faces of the box.

Let length = x

Let width = y

Let height = h

SA = 2xy + 2xh + 2yh

Plug in the given values into the formula to find the area.

SA = 2(32)(25) + 2(32)(20) + 2(25)(20)

Answer:

x = 0.1

hope this is helpful

Answer:

27.52 percent

Step-by-step explanation:

Percentage increase = (new - original)/ original * 100

new = 318270

old = 249583

Substitute in what we know

percentage increase = (318270-249583)/249583 *100

                                     = (68687/249583) *100

                                       .275207045*100

                                       27.5207045 percent

Answer:

28%

Step-by-step explanation:

[tex]\begin{array}{ccc}6\ weeks&-&12\ kg\\9\ weeks&-&x\ kg\end{array}\qquad\text{cross multiply}\\\\(6)(x)=(9)(12)\\\\6x=108\qquad\text{divide both sides by 6}\\\\\boxed{x=18}\\\\Answer:\ \text{Eli's office recycled 18\ kg\ of\ paper.}[/tex]

Answer:

$22.1

Step-by-step explanation:

To solve this, you must multiply the amount of the items by its cost.

This is the amount of yams in decimal form: [tex]4\frac{1}{2}[/tex] = 4.5

This is the amount of carrots in decimal form: [tex]4\frac{3}{10}[/tex] = 4.3

4.5 * 3 = 13.5

4.3 * 2 = 8.6

Now we add them together to get the total cost.

13.5 + 8.6 = 22.1

Answer:

$22.10

Step-by-step explanation:

This is simple multiplication.

1. It may help you to simplify the pound values. 4 and 1/2 is really 4.5, and 4 and 3/10 is really 4.3

2. We know what the cost is per pound, and we know how many pounds we have. We simply multiply.

4.5 pounds of yams * $3 per pound = 13.5

4.3 pounds of carrots * $2 per pound = 4.3*2 = 8.6

3. Add the values

13.5+8.6 = 22.1 = $22.10

Answer:

Step-by-step explanation:

you're going to have a vertical line at -1, and then shade the region to the left. The line should be dashed, not solid.

Answer: 1. mentally ill people

2. c

3.answer choices ?

Step-by-step explanation:

Answer: 0.4 which is choice C

====================================

Work Shown

Focus on the "riverside high school" row only

A = number of twelfth graders = 200

B = number of students = 500

P = probability of picking a twelfth grader

P = A/B

P = 200/500

P = 2/5

P = 0.4

The probability that a randomly selected riverside high school student is in twelfth grade is 0.4

The probability of an event occurring, it is calculated by the ratio of favorable cases to the total number of possible cases.

P(Event) = Favorable outcomes/ Total no. of outcomes

Now, the total no. of students studying in Riverside High School = 500

The no. of students studying in 12th grade in Riverside High School= 200

P(student in 12th grade in Riverside High School) = 200/500

P(student in 12th grade in Riverside High School) = 0.4

Hence the probability that a randomly selected riverside high school student is in twelfth grade is 0.4.

Learn more about probability on:

https://brainly.com/question/24756209

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Answer: 35 liters

Step-by-step explanation:

Volume of 1 marble = 0.04 Liters

volume of 50 marbles = 50 x 0.04 liters = 2 liters

volume of water added =  33 liters ( Given)

Volume of tank = Volume of water + Volume of 50  marbles

                          =      33 liters + 2 liters

                          =    35 liters

[tex]f(x)=6x^2-3,\ f(x)=3\\\\\text{The equation}\\\\6x^2-3=3\qquad\text{add 3 to both sides}\\\\6x^2=6\qquad\text{divide both sides by 6}\\\\x^2=1\to x=\pm\sqrt1\\\\\boxed{x=-1\ \vee\ x=1}[/tex]

Answer:

the answer is is 225

Step-by-step explanation

(5 - - 9)^2 + (8 - -3)^2

(9)^2 + (12)^2

81 +144

225

Answer:

The answer is 6.1

Step-by-step explanation:

(-4,3)(5,9)

√(-4-5)^2 + (3 - 9)^2

√-1^2 + -6^2

√1 + 36

√37

= 6.1

Answer:

22.8 and 37.5

Step-by-step explanation:

Given the

The weights (in pounds) of 18 preschool children are

32, 20, 25, 27, 31, 22, 30, 23, 44, 37, 33, 45, 41, 24, 34, 21, 39, 29

To find its 20th percentile and 75th percentile.

In ascending order we get like this

Position  X (Asc. Order)

1  20

2  21

3  22

4  23

5  24

6  25

7  27

8  29

9  30

10  31

11  32

12  33

13  34

14  37

15  39

16  41

17  44

18  45

Percentile position = (no of entries +1)20/100 = 19/5 = 3.8

Since posiiton is not integer we use interpolation method.

The value of 3.8 - 3 = 0.8 corresponds to the proportion of the distance between 22 and 23 where the percentile we are looking for is located at.

Hence 20th percentile = [tex]22+0.8(23-22)=22.8[/tex]

So answer is 22.8

----------------------

75th percentile

Percentile posiiton = 19(75)/100 = 14.25

75th percentile= [tex]37+0.25(39-37)=37.5[/tex]

Answer:

22.8 and 37.5