Krista’s mom has told her she need to make the pen 21 the size that she had planned (5 feet long by 4 21 feet wide). What will the area be? What are two possible lengths and widths she could use?.

Answers

Answer 1

The area of Krista’s mom new pan is 11 1/4 ft² and two possible dimensions are (5 , 4 1/2) and (4 1/2 , 2 1/2)

What is the area of a rectangle?

Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

[tex]A=a\times b[/tex]

Here, (a)is the length of the rectangle and (b) is the width of the rectangle

The dimensions of pan which, Krista’s mom, had planned is 5 feet long by 4 1/2 feet wide. Therefore, the length of the pen is 5 feet and the width of the pan is 4 1/2 feet.

Thus, the area of this rectangular pan is,

[tex]A=5\times4\dfrac{1}{2}\\A=5\times\dfrac{9}{2}\\A=22\dfrac{1}{2}\rm ft^2[/tex]

The area of the pan is 22 1/2 ft².

Now, Krista’s mom has told her she needs to make the pen 1/2 the size. Thus the area of new pan is,

[tex]A=\dfrac{22\dfrac{1}{2}}{2}\\A=\dfrac{\dfrac{45}{2}}{2}\\A=\dfrac{45}{4}}\\A=11\dfrac{1}{4}}\\[/tex]

For this area, possible dimensions are 4 1/2 and 2 1/2.

Hence, the area of Krista’s mom new pan is 11 1/4 ft² and two possible dimensions are (5 , 4 1/2) and (4 1/2 , 2 1/2)

Learn more about the area of rectangle here;

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Related Questions

Can anyone please help me with this??? I really need it );

Answers

Answer:

(x,y) (9,4)

Step-by-step explanation:

-2x+7y = 10

x -3y = -3 (move x to the other side)

-2x +7y = 10

x = -3 + 3y (put in for x)

-2 (-3 +3y) +7y =10 ( slove for y)

6-6y +7y = 10

6+y = 10

y = 10-6

y = 4

go back slove for x

x = -3+3x4

x = 9

The quartiles of any Normal distribution are about __________ standard deviations from the mean. Give your answer to 3 decimal places.

Answers

Answer:

(1) The first quartile of standard normal distribution is -0.67.

(2) The third quartile of standard normal distribution is 0.67.

(3) The percentage of the observations in the standard normal distribution that are suspected outliers is, 0.74%.

Explanation:

A standard normal distribution has mean 0 and variance 1.

(1)

The first quartile of any data is the value below which 25% of the data lie.

That is, P (Z < z) = 0.25.

The value of z is -0.67.

Thus, the first quartile of standard normal distribution is -0.67.

(2)

The third quartile of any data is the value below which 75% of the data lie.

That is, P (Z < z) = 0.75.

The value of z is 0.67.

Thus, the third quartile of standard normal distribution is 0.67.

(3)

In case of a standard normal distribution values lying outside the range

(Q₁ - 1.5 IQR, Q₃ + 1.5 IQR)

are considered as outlier.

Compute the range as follows:

Compute the probability of (Z < -2.68) and P (Z > 2.68) as follows:

The probability of a value being an outlier is,

P (Outlier) = P (Z < -2.68) + P (Z > 2.68)

                = 0.0037 + 0.0037

                = 0.0074

The percentage of the observations in the standard normal distribution that are suspected outliers is, 0.0074 × 100 = 0.74%.

Step-by-step explanation:

Hope this helped...

How will you use the rules of adding, subtracting, multiplying and dividing rational numbers with simplifying algebraic expressions?

Answers

Answer:

I would use addition, subtraction, multiplication, and division in terms of taxes, interest rates, my fixed salaries, and so forth. And dividing rational numbers would be like 10% of the interest rate or 11% of the interest rate. I can also simplify the algebraic expressions to make the terms easier for me in my head.

Step-by-step explanation:

I would use addition, subtraction, multiplication, and division in terms of taxes, interest rates, my fixed salaries, and so forth. And dividing rational numbers would be like 10% of the interest rate or 11% of the interest rate. I can also simplify the algebraic expressions to make the terms easier for me in my head.

PLEASE HELP GEOMETRY PLEASE HELP​

Answers

Answer:

Step-by-step explanation:

Scalene (no equal side): 4th triangle

Isosceles (two equal sides): 1st, 2nd, and 4th triangle

Equilateral (all equal sides): 3rd triangle

Hope this helps!

Out of 720 students,120 have failed.What percentage of students failed the exam?​

Answers

Answer:

83.33%

Total no. of students = 720

No. of students who failed = 120

Therefore no. of students passed = 720 120= 600

Therefore pass percentage = 600/720* 100 = 83.33%

Step-by-step explanation:

I hope it will help you...

[tex]kai6417[/tex]

#carryonlearning

[tex]% = \frac{parts}{whole} * 100%[/tex]Answer:

Step-by-step explanation:

Hi there,

I have given the answer in the images attached below in order , please do check it out.

If you found my answer helpful please do consider marking me as brainliest as that would mean a lot to me.[tex]e[/tex]

Solve this equation 7x + 1 /16 = 1 /2 Algebra

Answers

Answer: 1/16

Step-by-step explanation:

1/2 - 1/16 = 8/16 - 1/16 = 7/16

7/16 / 7 = 1/16

Answer:

[tex]{\boxed{\sf{x = \dfrac{1}{16}}}}[/tex]

Step-by-step explanation:

CONCEPT :

Here, we will use the below following steps to find a solution using the transposition method:

Step 1 :- we will Identify the variables and constants in the given simple equation.Step 2 :- then we Simplify the equation in LHS and RHS.Step 3 :- Transpose or shift the term on the other side to solve the equation further simplest.Step 4 :- Simplify the equation using arithmetic operation as required that is mentioned in rule 1 or rule 2 of linear equations.Step 5 :- Then the result will be the solution for the given linear equation.

[tex]\begin{gathered}\end{gathered}[/tex]

SOLUTION :

To solve this equation we will follow the given concept :

[tex]{:\implies{\tt{7x + \dfrac{1}{16} = \dfrac{1}{2}}}}[/tex]

[tex]{:\implies{\tt{7x = \dfrac{1}{2} - \dfrac{1}{16}}}}[/tex]

[tex]{:\implies{\tt{7x = \dfrac{(1 \times 8) -1}{16}}}}[/tex]

[tex]{:\implies{\tt{7x = \dfrac{(8) -1}{16}}}}[/tex]

[tex]{:\implies{\tt{7x = \dfrac{8 - 1}{16}}}}[/tex]

[tex]{:\implies{\tt{7x = \dfrac{7}{16}}}}[/tex]

[tex]{:\implies{\tt{x = \dfrac{7}{16} \times \dfrac{1}{7} }}}[/tex]

[tex]{:\implies{\tt{x = \dfrac{\cancel{7}}{16} \times \dfrac{1}{ \cancel{7}}}}}[/tex]

[tex]{:\implies{\tt{x = \dfrac{1}{16} \times 1}}}[/tex]

[tex]{:\implies{\tt{x = \dfrac{1}{16}}}}[/tex]

[tex]{ \star{\underline{\boxed{\sf{\red{x = \dfrac{1}{16}}}}}}}[/tex]

Hence, the value of x is 1/16.

[tex]\rule{300}{2.5}[/tex]

SOMEONE HELP ME PLEASE

Answers

Answer:

[tex]\frac{11}{2}[/tex]

Step-by-step explanation:

[tex]\frac{x}{AB}[/tex]=cos60

x=[tex]\frac{AB}{2}[/tex]=[tex]\frac{11}{2}[/tex]

in a right angled triangle cosA=[tex]\frac{adjacent}{hypotenuse}[/tex]

so cosB=[tex]\frac{x}{11}[/tex]

[tex]\frac{1}{2}[/tex]=[tex]\frac{x}{11}[/tex]

x=[tex]\frac{11}{2}[/tex]

Answer:

5.5 units

Step-by-step explanation:

x is the smallest side because it is opposite of 30° angle.

The side opposite to 30° is half the hypotenuse:

BC = AB/2x = 11/2x = 5.5

The print shop charges $1. 10 per square foot for banners of any shape and size. What is the approximate cost of the banner before tax? $41. 95 $46. 14 $83. 90 $92. 30.

Answers

The approximate cost of the banner which is charged by print shop before tax is 92.30.

What is cost price per unit?

The cost price per unit is the amount of money required to buy one uni of a brand or goods.

To find the cost price per unit, divide the total amount of cost of the goods to the total number of goods.

The length of the sides of parallelogram banner which order by Jace is 9 feet and the length of the bottom side is 12 feet.  

The length of the diagonal is 19 ft. The parimeterof the triangle made by this sides is,

[tex]s=\dfrac{9+12+19}{2}\\s=20[/tex]

Using Heron's formula, the area of this triangle is,

[tex]A=\sqrt{20(20-9)(20-12)(20-19)}\\A=\sqrt{20\times11\times8\times1}\\A=41.95\rm ft^2[/tex]

Now the area of the banner is,

[tex]A=41.95\times2\\A=83.90\rm ft^2[/tex]

The print shop charges $1.10 per square foot for banners of any shape and size.Thus, the charge of the banner with area 108 square foot is,

[tex]P=1.10\times83.90\\P=92.29\\P\cong92.30[/tex]

Thus, the approximate cost of the banner which is charged by print shop before tax is 92.30.

Learn more about the cost price per unit here;

https://brainly.com/question/18628158

What is the rule for the number pattern below
900, 800, 650, 500, 350,....

A. Subtract 150.
B. Subtract 100.
C. Add 200
D. Add 250.

Answers

Answer:

I think there should be 950 at the first .. then the answer will be subtract 150

A rectangular garden has an area of 52 square yards. If we multiply its
length and width by 15, what is the area of the new rectangle?
OA) 1540 yd.?
OB) 12,270 yd.?
OC) 11,700 yd?
OD 270,000 yd?
Please answer soon!

Answers

Answer:

It is OC) 11,700 yd.

Step-by-step explanation:

when finding new area, take you 2 numbers, 52 and 15, square the 15,  then multiply them 52 x 15^2 = 11,700

Answer:

C) 11, 700 yd²

Step-by-step explanation:

Let [tex]x[/tex] = width of a rectangle

Let [tex]y[/tex] = length of a rectangle

Area of a rectangle = width x length

⇒ area = [tex]xy[/tex]

If a rectangular garden has an area of 52 yd²

⇒ [tex]xy[/tex] = 52

If the length and width are multiplied by 15:

⇒ new width = [tex]15x[/tex]

⇒ new length = [tex]15y[/tex]

⇒ area = [tex]15x \times 15y=225xy[/tex]

If xy = 52,  

new area = 225xy = 225 x 52 = 11700

a couple is blessed with a boy and a girl. In four years time the sum of their ages will be 29 years . what is the age of the boy.​

Answers

Answer:

boy = 14 yrs

Step-by-step explanation:

29-4=25

25-11=14

petra loves animals she has twelve pets in all four of which are rabbits write a fraction to describe the numberr of rabbits she has

Answers

4/12 = 1/3
Simplify
…………………….

Determining the Degree Measure of an Angle

The measure of the angle shown on the right is ______degrees.

Answers

I believe that the angle shown is 945°.

It loops around the grid twice, which is

360*2,

And then another 225 degrees.

What is 900 to the 6th power?

Answers

Answer:

5,314,411,000,000,000,000

Step-by-step explanation:

5.31441* 10^17 = 5,314,411,000,000,000,000

104 is divided in two parts A and B in the ratio of 5:8. What is the value of A?

Answers

Answer:

A=40

Step-by-step explanation:

5+8=13

104/13=8

5*8=40

8*8=64

A=40

i need help with this please!

Answers

Volume of a sphere:

V = (4/3)πr³

Circumference of a sphere:

C = 2πr

Surface area of a sphere:

A = 4πr²

above are important sphere related equations

so to find the surface area plug in values for equation

A= 4πr²

= 4 × 3.14 × 5.4 ×5.4

= 366.25 mm²

For cones with radius 6 units, the equation V = 127th relates the height h of the cone, in units, and the volume V of the cone, in cubic units.
b. Using the graph from the previous question, Is there a linear relationship between height and volume? Explain how you know.

Answers

Answer:

hola

Step-by-step explanation:

cómo estás yo bien compita

Answer:

yes

Step-by-step explanation:

there is because in the graph your trying to figure out man idek how to word it you got it from here

Tim and Joy are buying a home for the first time. They purchase a $225,000 house and put
$25,000 down. Their annual property taxes are $4,800, and their annual property insurance costs
are $1,200. What is their total monthly payment if they get a mortgage for 15 years at 3.5% (they
monthly payment includes the monthly property tax amount and monthly property insurance
amount)

Answers

Answer:

the answer is is is is is is is is .............. 194,000

HELP WORTH ALL THE POINTS I CAN GIVE!
I really don't understand this please help.

Answers

Answer:

try asking a parent or brother/sister

what is 87 x 54 - 200 divided by 7

Answers

Answer:

87 x 54 - 200 divided by 7
solving-4669[3|7] , 4669.428571
answer-32686.7

Step-by-step explanation:

Adult tickets to the faculty-students basketball game sold for $5 each and student ticket was sold for $2 each. if 235 tickets were sold for a total of $725, how many of each kind of ticket were sold?

Answers

Answer:

85 adult tickets

150 children tickets

Step-by-step explanation:

we can write a system of equations and then use the 'elimination method':

let a = adult tickets

let c = children tickets

a + c = 235

5a + 2c = 725

we can multiply the first equation by -5 to get:

-5a - 5c = -1175

now we can add the second equation to get:

5a + 2c = 725

-3c = -450

c = 150

a + 150 = 235

a = 85

Which table represents a function? please help I will give brainlist ​

Answers

Answer:

the second table on the bottom

Step-by-step explanation:

To be a function the points have to pass the horizontal line test.

When you plot the graph of a function, then draw a horizontal line across the graph. If the horizontal line touches the graph only once, then the function does have an inverse function.

Solve square root of x + square root of x+2 = 2

Answers

The value of x is [tex] \frac{1}{4} [/tex]

Step-by-step explanation:

Given:

[tex] \sqrt{x} + \sqrt{x + 2} = 2[/tex]

Rearranging the radical on left side,

[tex]\sqrt{x + 2} = 2 - \sqrt{x}[/tex]

Power on both sides,

[tex](\sqrt{x + 2})^{2} = (2 - \sqrt{x})^{2} [/tex]

Simplifying the left,

[tex]x + 2 = (2 - \sqrt{x} )^{2}[/tex]

For the RHS equation, use the property of (a-b)² = (a²-2ab+b²),

[tex] = > x + 2 = {2}^{2} - (2 \times 2 \sqrt{x}) + ( \sqrt{x})^{2} [/tex]

Now calculating its powers,

[tex] = > x + 2 = 4 - 4\sqrt{x} + x[/tex]

Now sending -4√x to the LHS (left side), its sign becomes plus (+),

[tex] = > 4 \sqrt{x} = 4 + x - x - 2[/tex]

Now the +x and -x will be cancelled,

[tex] = > 4 \sqrt{x} = 4 - 2[/tex]

[tex] = > 4 \sqrt{x} = 2[/tex]

Bringing 4 to the right side, it becomes the denominator,

[tex] = > \sqrt{x} = \frac{2}{4} [/tex]

[tex] = > \sqrt{x} = \frac{1}{4} [/tex]

Now powering both sides,

[tex] = > ( \sqrt{x})^{2} = ( \frac{1}{2})^{2}[/tex]

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

Negative one half minus negative five ninths

Answers

Answer: -101/18

Step-by-step explanation: I think, I don’t know

Which expression is equivalent to -3 ( x - y )?

A. -3x + y
B. -3x - y
C. -3x - 3y
D. -3x + 3y

I already know it’s not A or B

Answers

Answer:

D. -3x+3y

Step-by-step explanation:

Start by distributing the -3 to each term in the parentheses:

-3(x)+(-3)(-y)

Here are some multiplication sign rules that will make this problem easier:

- - make a +

- + make a -

+ - make a -

+ + make a +

-3x+3y (note that since both 3 and y are negative, they make a positive)

solve for y and show all work.

Answers

Answer: 29

Step-by-step explanation:

4y + 4 + 60 = 180

4y = 116

y = 29

Maggie makes $57,600 a year. Estimate how much she can afford to pay for rent each month if she budgets 27% of her gross monthly income.​

Answers

She can afford to pay $1296 per month.

How much can Maggie afford to pay?

Given that Maggie makes $57,600 a year, to determine how much she can afford to pay for rent each month if she budgets 27% of her gross monthly income, the following calculation must be performed:

100 = 5760027 = X27 x 57600 / 100 = X27 x 576 = X15552 = X15552 / 12 = 1296

Therefore, she can afford to pay $1296 per month.

Learn more about calculus in https://brainly.com/question/14478573

I NEED HELP PLEASE !!!!
Given a square with an area of 49 square units, determine the length of the diagonal.

Answers

Answer:

9.899

Step-by-step explanation:

Area of square = side × side

49 = side × side

7 × 7 = side × side

Side = 7 cm

Diagonal of square = side × root2

= 7 × Root2 cm

= 9.899

A sample should be large to encourage:

A. precision
B. bias
C. decrease accuracy
D. large standard error

Answers

Answer:

A) precision

Step-by-step explanation:

Hope this helps ! :)

The circle has a center of S. Suppose that m

Answers

Answer:

a) m line over OR=108 degrees =0.6[tex]\pi[/tex]

b) m <QSR=108 degrees

Step-by-step explanation:

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