14. Solve the equation using the Zero Product Property
(2x-4) (2x-1)=0
A. 2, -1/2
B. 2,1/2
C.-2, 2
D. -2,1/2
16. A community group is planning the expansion of a square flower garden in a city park. If each side of the original garden is increased by 3 meters, the new total area of the garden will be 225 square meters. Find the length of each side of the original garden.
A. 15m
B. 3m
C. 12m
D. √12m

Answers

Answer 1

Answer:

14) D; 16) C.

Step-by-step explanation:

14) the given equation can be written (x-2)(x-1/2)=0;

D. -2; 1/2.

16. if the original length is 'x', then it is possible to make up the equation of area:

(x+3)²=225; ⇒ x=12;-18; x=12 [m], the C option.


Related Questions

El quintuple de un número cuadrado disminuido en 9 da como resultado 36;¿cual es ese número?

Answers

Usando un sistema de ecuaciones, se encuentra que ese número es n = -3 o n = 3.

¿Qué es un sistema de ecuaciones?

Un sistema de ecuaciones es cuando dos o más variables están relacionadas y las ecuaciones se construyen para encontrar los valores de cada variable.

En este problema, la variable es el número n.

El quintuple de un número cuadrado disminuido en 9 da como resultado 36, o sea, la ecuación es:

5n² - 9 = 36

5n² = 45

n² = 9

n = -3 o n = 3.

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what is the opposite reciprocal of "-1/6"

Answers

Answer:

6/1

Step-by-step explanation:

The reciprocal is always the opposite. for example, the reciprocal of 9/10 is 10/9

Answer:

6 or 6/1

Step-by-step explanation:

The opposite reciprocal is when a fraction is flipped upside down (the reciprocal part) and with the signs changed (the opposite).

For -1/6

[tex]\frac{-1}{6} < ==flip\ the\ fraction\\\\\frac{6}{-1}\\\\ -6 < ==change\ the\ sign\\\\6[/tex]

Hope this helps!

1. The ratio of bottles to mugs was 4 to 7. If there were 49 mugs, how many bottles were
there?
45

Answers

Answer:

28 bottles

HOPE THIS HELPS! :)

pls help me brainly wont show me the right results ​

Answers

Answer:

[tex]\boxed{\tt x=45^o}[/tex]

Step-by-step explanation:

The two angles together are supplementary, which means that they add up to 180°

[tex]\tt (2x+45)^o+x^o=180^o[/tex]

Now, let's solve for x:-

[tex]\tt 2x+45+x^o=180^o[/tex]

[tex]\tt 3x+45^o=180[/tex]

[tex]\tt 3x=135^o[/tex]

[tex]\tt x=45^o[/tex]

_____________________

Complete the table of values for equation y=5-2x

Answers

The required table of values for equation y=5-2x is;

x | y

0   5

1    3

2    1

3   -1

Functions and values

Tables of values are values used to represent functions.

Given the linear function expressed as y = 5 - 2x, we are to form a tables of values for the function.

Using the values of x = 0, 1, 2, and 3

If x = 0

y = 5 - 2(0)

y = 5

If x = 1

y = 5 - 2(1)

y = 3

If x = 2

y = 5 - 2(2)

y = 1

If x = 3

y = 5 - 2(3)

y = -1

Hence the required table of values for equation y=5-2x is;

x | y

0   5

1    3

2    1

3   -1

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what is the exact length of the missing side​

Answers

Answer:√44

Step-by-step explanation:

the sum of 2/5 and f is 1/2

Answers

Answer:

the photo has the anwer

and it up to you if this is right it should be can I be marked as brainliest

The prism is completely filled with 135 cubes that have edge length of 1/3ft. What is the volume of the prism? Enter your answer in the box.

Answers

The volume of the prism which is filled with 135 cubes is 5 cubic feet.

What is the Volume of Cube ?

The volume of a cube defines the number of cubic units, occupied by the cube completely. The unit of volume of the cube is in cubic units such as cu. centimeters, cu. meters, cu. inches, cu. feet, etc.

Here Prism is filled with 135 cubes.

Volume of prism = volume of 135 cubes

                            = 135 X side X side X side

                            = 135 X 1/3 X 1/3 X 1/3

                            = 135 / 27

Volume of prism = 5 cu. feet

Thus, The volume of the prism which is filled with 135 cubes is 5 cubic feet.

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Find the surface area of the prism. Write your answer as a decimal.
13.5 in.
9 in.
9 in
10 in.

Answers

Answer:

360 in²

Step-by-step explanation:

Total SA = 2 triangles + 3 squares

Triangles:

A = bh/2

A = (9 · 10)/2

A = 90/2

45 in²

Squares:

A = bh

A = (9)(10)

90 in²

Total SA: 2(45) + 3(90)

Total SA: 360 in²

I hope this helps!

A cylinder has a base diameter of 12ft and a height of 12ft. What is its volume in cubic ft, to the nearest tenths place?

Answers

Answer:

1357.2

Step-by-step explanation:

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

[tex]=\pi *6^{2} *12[/tex]

[tex]=1357.2[/tex]

Increase £200 by 12.5%

Answers

Answer:

£225

Step-by-step explanation:

12.5% × £200

>> £25

Since we want to increase £200 by 12.5%, then we will add the increment to the £200 to get;

£200 + £25 = £225

Answer: £25

Step-by-step explanation: Take £200 and multiply by 12.5% and you get  £25. I hope this helped!

The number of blueberry muffins Gary bakes each day is 30% of the total number of muffins he bakes. If he baked 24 blueberry muffins on Sunday, what is the total number of muffins baked?​

Answers

Answer: The answer is 80

Step-by-step explanation:

Answer:

Gary baked 80 muffins on Sunday

Step-by-step explanation:

I can set up a proportion, knowing that 24/x = 3/10, where x is the total number of muffins baked on Sunday.  By cross multiplying, I get 240 = 3x.  By dividing both sides by 3, I find x = 80.

How many groups of 5 can go into 900

Answers

Answer:

Your answer is 180

Step-by-step explanation:

180 x 5 = 900

Sophia buys a supply of toilet paper from costco that comes in a pack 36. She immediately gives 4 rolls of toilet paper to her sister (who shared with her last month). She uses 2 rolls of toilet paper a per month.

(a) Write an expression that represents the situation

(b) Determine how many rolls of toilet paper she will have left after 1 year

EXPLAIN AND SHOW YOUR WORK

Answers

I believe she will have 8 rolls of toilet paper left after one year.

She started with 36, then gave away 4, so then she would have 32 left for herself, then she used 2 every month so if you deduct 2 rolls every month for 12 months she would use 24 in one year. So 32-24 is 8.

GIVING BRAINLEST TO THE PERSON THAT CAN EXPLAIN HOW TO DO THIS THE BEST :)

Answers

Answer:

[tex]25\sqrt{3} \ [units^2].[/tex]

Step-by-step explanation:

1) one side of the given rectangle can be calculated as:

10*sin30°=5 [units].

2) another side of the given rectangle can be calculated as:

10*cos30°=5√3 [units].

3) finally, the area required is:

5*5√3=25√3 [units²].

The soccer coach bought 3 new soccer balls. The total cost of the balls was $21. 28. The coach used a $20 bill and a $10 bill to pay for the balls. Which is not a combination of coins and bills that can be used to make the change that the coach should receive?

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

A. One $5 bill, one $2 bill, one $1 bill, four dimes, two pennies

B. One $5 bill, three $1 bills, two quarters, two dimes, two pennies

C. Eight $1 bills, seven dimes, two pennies

D. Four $2 bills, a half-dollar, four nickels, two pennies

Answers

Answer:

a

Step-by-step explanation:

a is 8 .52 so its to low and the change was 8.72

what do you call boys who love algebra?

Answers

Answer:

algebros....

Step-by-step explanation:

Find the solution to the system of equations by using either graphing and substitution y=2x-1 and y=x+3
pls explain ur answer

Answers

Answer:

x= 4 and y=7

Step-by-step explanation:

Bellow is the graph of the two systems, you can find the coordinates (4,7) were they intersect.

Because of this the two equations are true

7= 4+3 (True)

For the given equation, enter the value of B when x = 3.
BX = 15

Answers

Answer:

b = 5

Step-by-step explanation:

x = 3
3B = 15
3B/3 = 15/3
B = 5

Calculate the circumstances of the shape below

Answers

Correct Question :-

Calculate the circumference of the shape below.

[tex] \\ \\ [/tex]

Given :-radius of circle = 12.5 m

[tex] \\ \\ [/tex]

To find :circumference of a circle

[tex] \\ \\ [/tex]

Solution :

[tex] \\ [/tex]

We know :-

[tex] \bigstar\boxed{ \rm Circumference_{(circle)} = 2\pi r}[/tex]

[tex] \\ [/tex]

Steps :-

[tex] \dashrightarrow\sf Circumference_{(circle)} = 2\pi r[/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Circumference_{(circle)} = 2\pi \times 12.5 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Circumference_{(circle)} = 2 \times \dfrac{22}{7} \times 12.5 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Circumference_{(circle)} =\dfrac{44}{7} \times 12.5 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Circumference_{(circle)} =\dfrac{44}{7} \times \dfrac{125}{10} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Circumference_{(circle)} =\dfrac{44}{7} \times \dfrac{ \cancel{125} {}^{25} }{ \cancel{10} {}^{2} } \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Circumference_{(circle)} =\dfrac{44}{7} \times \dfrac{25}{2} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Circumference_{(circle)} =\dfrac{ \cancel{44}}{7} \times \dfrac{25}{ \cancel2} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Circumference_{(circle)} =\dfrac{22}{7} \times \dfrac{25}{1} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Circumference_{(circle)} =\dfrac{550}{7} \\ [/tex]

[tex] \\[/tex]

[tex] \dashrightarrow\bf Circumference_{(circle)} =78.6 \: m\{approx \} \\ [/tex]

[tex] \\[/tex]

~[tex] \pmb{\cal W\frak{indy}M\frak{int}}[/tex]

What is the solution to the linear equation? 6k 10.5 = 3k 12 k = 0.5 k = 2 k = 7.3 k = 9

Answers

The solution of the linear equation is k =0.5.

What is the linear equation?

An equation is a mathematical statement, which has an equal sign (=) between the algebraic expression.

Linear equations are the equations of degree 1.

The given linear equation is;

[tex]\rm 6k + 10.5 = 3k + 12[/tex]

The value of k is determined in the following steps given below.

[tex]\rm 6k + 10.5 = 3k + 12\\\\6k-3k=12-10.5\\\\3k = 1.5\\\\k = \dfrac{1.5}{3}\\\\k = 0.5[/tex]

Hence, the solution of the linear equation is k =0.5.

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Based on the information above ,what percent of students type less than 30 words per minute? hurry i need help

Answers

Based on the information provided in the histogram, the percent of students that type less than 30 words per minute is 30%.

What percent of students type less than 30 words per minute?

A histogram is used to represent data graphically. The histogram is made up of rectangles whose area is equal to the number of students and whose width is equal to the words per minute.

Percentage of students who type less than 30 words per minute = (number of students that type less than 30 words per minute) / total number of students) x 100

[(10 + 5) / 50] x 100 = 30%

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Describe a situation that fits each equation. Describe more than one situation for each equation, if possible.
a) 4x − 1 = 19
b) 2x − 4 = 10
c) 2x + 2y = 48
d) 5x + 2y = 90. no links please!

Answers

Answer:

Step-by-step explanation:

4x − 1 = 19

solving for x, x = 5

2x − 4 = 10

x=7

2x + 2y = 48

x=24-7

y=24-x

5x + 2y = 90

x=18-2y/5

y=45-5x/2

all the situations I could find hope this helps for each equation.

The location where the x- and y-axes intersect is known as the ____________.
A. coordinate plane
B. origin
C. ordered pair
D. quadrant

Answers

Answer:

B. origin

Step-by-step explanation:

It is usually right at the center of a graph, the point (0,0) It is where you start from to graph points.

f(x)=2x2+3x−1 and g(x)=3x+4. Find g(f(x)).

Answers

Answer:

6x²+9x+1

Step-by-step explanation:

Check out the attached photo

L00K AND ANSWER PLS :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :)

Answers

Answer:

i dont the answer

Step-by-step explanation:

hey u, you're a loser

An exponential function has an initial value of 500 and a decay rate of 15%. Compare the average rate of change for the interval 0

Answers

Answer:xponential function has an initial value of 500 and a decay rate of 15%. Compare the average rate of change for the interval 0

Step-by-step explanation:

HELP PLEASE!!! I WILL GIVE 25 POINTS
What is the slope of the line.

Answers

Answer:

The slope of the line is 1

In point-slope form:

y = x + 1

Answer: 1

Step-by-step explanation: the rise is 1 and the run is also 1 so 1/1 equals 1

Select the correct answer from the drop-down menu. Simplify the expression (x^19 y^21)^4/(x^2y^6)^2. The simplified expression is ...
A. (x^76)(y^84)
B. (xy)^72
C. (x^80)(y^96)
D. (xy)^84

Answers

The expression is [tex]\frac{(x^{19}y^{21})^{4} }{(x^{2} y^{6})^{2} }[/tex].  The simplified expression as [tex]{x^{72}y^{72} }[/tex]. Option B is correct.

Given that,

The expression is [tex]\frac{(x^{19}y^{21})^{4} }{(x^{2} y^{6})^{2} }[/tex]

We have to simplify the expression.

Simplify the expression means solving a math problem is the same thing as simplifying an expression. You basically attempt to write an expression as simply as you can when you simplify it. There shouldn't be any more multiplication, dividing, adding, or deleting to be done when the process is finished.

Take the expression

=[tex]\frac{(x^{19}y^{21})^{4} }{(x^{2} y^{6})^{2} }[/tex]

Multiply the powers

=[tex]\frac{x^{76}y^{84} }{x^{4} y^{12} }[/tex]

Divide the x and y terms

=[tex]{x^{72}y^{72} }[/tex]

Therefore, We got the simplified expression as [tex]{x^{72}y^{72} }[/tex]. Option B is correct.

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The table shows the number of resident geese living in four different ponds. a 3-column table has 4 rows. the first column has entries pond a, pond b, pond c, pond d. the second column is labeled population of geese with entries 88, 175, 192, 204. the third column is labeled area (acres) with entries 1.1, 1.3, 1.5, 2.0. which pond has the greatest population density of resident geese? pond a pond b pond c pond d

Answers

The population density is the ratio of the number of geese to the area. Then the greatest population density in pond C is 128.

What is population density?

The population density is defined as the number of objects present in the unit area.

The formula is given as

[tex]\rm Population\ density = \dfrac{number\ of \ object}{total \ area}[/tex]

The table shows the number of resident geese living in four different ponds. a 3-column table has 4 rows.

Then the greatest population density of the geese will be

[tex]\rm Population\ density = \dfrac{192}{1.5} = 128[/tex]

More about the population density link is given below.

https://brainly.com/question/1581160

Answer:

pond B

Step-by-step explanation:

edg 2022

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