Cindy owns a rectangular lot that is 18 yards long and 45 feet wide. She is going to cover the lot with square pieces of sod. If the sod costs $12 per square yard, how much will Cindy pay to completely cover the lot with sod?

Answers

Answer 1

FIND LOT AREA:
Area = length * width
A= 18 feet * 45 feet
A= 810 feet squared

FIND # OF YARDS:
1 yard= 3 feet

Divide number of square feet by number of feet per yard.
Yards= 810 ÷ 3
Yards= 270

FIND PRICE OF SOD:
multiply number of yards by price per square yard.
Price= 270 yards * $12/yard
Price= $3,240

ANSWER: Cindy will pay $3,240 to cover the lot with sod.

Hope this helps! :)

Related Questions

In January, you deposit $16 in your checking account. Each month, you deposit $15 more than you did the month before. How much money do you deposit in October? A) $151 B) $166 C) $356 D) $835

Answers

Sorry I mis-read the question, your answer is 151; Here is how I solved it:
January: $16
Febuary: 16 + 15 =31
March :31+15=46
April : 46+15=61
May: 61+15=76
June: 76+15= 91
July: 91+15= 106
August: 106+15= 121
September: 121+15= 136
October:136+15= 151

The amount we deposited in the month of october is $151, option A is correct.

What is Sequence?

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

We need to find the total amount deposited in 10 months, starting with $16 in January and increasing by $15 each month.

The first term is $16 and the common difference is $15.

The nth term can be found using the formula for the nth term of an arithmetic sequence:

an=a+(n-1)d

a=16, d=15

Now plug in n as 10, (10th month is october)

a₁₀=16+(10-1)15

=16+9(15)

=151

Hence, the amount we deposited in the month of october is $151, option A is correct.

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Find the markup on the following item. A candy bar costing $0.52 and selling for $0.79. 0.27 0.41 0.66 1.31

Answers

0.27 is the answer....

Just do 0.79 - 0.52 which equals 0.27

kevin had 13 coins in his pocket. all of his coins are either dimes or quarters. when he emptied his pocket, kevin found that he had 2.05. how many dimes and quarters does he have?

Answers

5 quarters and 8 dimes = $2.05

Answer:

Kevin has 5 quarters and 8 dimes.

Step-by-step explanation:

First of all, a quarter is worth 0.25 dollars, while a dime is worth 0.10 dollars. As Kevin has 13 coins in his pocket which in sum make $2.05, and all of them are either dimes or quarters, in order to determine how many dimes and quarters does he have, we have to take into account that he's got an odd number of quarters, since the final amount of money sums $2.05, that is, it ends in 5.

Therefore, if he had 1 quarter and 12 dimes (0.25 + 12x0.10 = 1.45), he would have $1.45.

If he had 3 quarters and 10 dimes (0.25x3 + 10x0.10 = 1.75), he would have $1.75.

If he had 5 quarters ahd 8 dimes (0.25x5 + 8x0.10 = 2.05), he would have $2.05, so this is the correct option.

f (x)-x^2+6x-7 at x=2

Answers

Consider the vertex form of the parabola.y=a(x+h)2+ky=a(x+h)2+kRewrite the function in terms of xx and yy.y=x2+6x−7y=x2+6x-7Complete the square on the right side of the equation.(x+3)2−16(x+3)2-16Reorder the right side of the equation to match the vertex form of a parabola.y=(x+3)2−16y=(x+3)2-16Since 33 does not contain the variable to solve for, move it to the right side of the equation by subtracting 33 from both sides.x=−3x=-3Use the vertex form, y=a(x−h)2+ky=a(x-h)2+k, to determine the values of aa, hh, and kk.a=1a=1h=−3h=-3k=−16k=-16Since the value of aa is positive, the parabola opens up.Opens UpFind the vertex (h,k)(h,k).(−3,−16)(-3,-16)Find pp, the distance from the vertex to the focus.1414Find the focus.(−3,−634)(-3,-634)Find the axis of symmetry by finding the line that passes through the vertex and the focus.x=−3x=-3Find the directrix.y=−654y=-654Use the properties of the parabola to analyze and graph the parabola.Direction: Opens UpVertex: (−3,−16)(-3,-16)Focus: (−3,−634)(-3,-634)Axis of Symmetry: x=−3x=-3Directrix: y=−654

I sorta shortened the steps a bit if you need me to explain any more steps I will just ask.
I am sure you probably went over some of this in your class that is why I skipped a few steps so you would at least learn a little bit hehe.

I really hope this helps you.

Chen has an unlimited supply of square tiles. She has 1 cm x 1 cm tiles, 2 cm x 2 cm tiles, 3 cm x 3 cm tiles, and so on. Every tile has integer side lengths. A rectangular table top with an 84 cm x 112 cm surface is to be completely covered by identical square tiles, none of which can be cut. Chen wants to use the minimum number of identical tiles to complete the job in order to reduce her costs. Determine the minimum number of identical tiles required to completely cover the table top.

Answers

84 = 2 × 2 × 3 × 7
112 = 2 × 2 × 2 × 2 × 7
Highest Common Factor of 84 and 112 = 2 × 2 × 7 = 28

So the tiles should be 28 x 28

84 ÷ 28 = 3
112 ÷ 28 = 4

Total tiles needed = 3 x 4 = 12

Ans: 12 tiles

The minimum number of identical square tiles required to completely cover an 84 cm x 112 cm tabletop is 12 tiles, each with side lengths of 28 cm.

To determine the minimum number of identical square tiles required to completely cover a rectangular tabletop with dimensions 84 cm x 112 cm, we need to find the greatest common divisor (GCD) of the two side lengths. This is because using tiles that match the GCD will ensure that they fit perfectly across both lengths and widths without needing to cut any tiles.

The GCD of 84 and 112 is 28. Therefore, the side length of the square tile that Chen should use is 28 cm x 28 cm. To find the number of tiles needed, we then divide the area of the tabletop (which is 84 cm x 112 cm or 9408 square cm) by the area of one tile (which is 28 cm x 28 cm or 784 square cm).

The calculation is as follows: 9408 square cm / 784 square cm = 12. Therefore, Chen needs a total of 12 tiles of 28 cm x 28 cm to cover the entire tabletop.

Help ASAP please!

Which set of numbers could represent the lengths of the sides of a right triangle?

16, 32, 36

8, 12, 16

3, 4, 5

9, 10, 11

Answers

The numbers 3, 4, 5 should jump out at you as the correct choice.

_____
{3, 4, 5} is the set of smallest integers that will satisfy the Pythagorean theorem. They are also the only "Pythagorean triple" that forms an arithmetic sequence. Many folks remember these numbers for their simplicity and utility. They show up in many algebra problems and can be useful in real life.

which of the columns above represent numerical data?
check all that apply

Answers

For this case, what you should do is see which columns of the ones shown in the image provide an important numerical value.
We have that in the image there are three possible columns.
ColumnA: Price
Column B: Type of cover.
Column C: Weight
The columns that provide numerical value are two:
ColumnA: Price
Column C: Weight
Answer:
Column A
Column C

Drives 1,212 miles from there home to the park if they drive the same number of miles each day for 4 days how many miles will the drive each day.
A.303
B.330
C.403
D.3,030
Please Help me find the answer thank you

Answers

They drive 1212 miles each day
There are 4 days.
1212/4 = 303 miles per day <<<<<====== answer
Oops
A <<<<====

Divide and simplify. 32x9y2 2xy-2

Answers

Is it one problem or 2?

Find the fifth term of an=2(-1) n

Answers

The 5th answer in this series would be -2.

We know this because in any problem where we have a base (2) being multiplied by a -1^n power, the numbers will simply alternate between positive 2 and negative 2. All of the even powers will be positive 2 and all of the odd numbers will be negative 2. See the work below.

2(-1)(-1)(-1)(-1)(-1)
2 (1)(-1)(-1)(-1)
2(1)(1)(-1)
2(-1)
-2

So since 5 is odd, the answer is negative 2.

Answer:

The fifth term of [tex]a_n = 2(-1)^n[/tex] is, -2

Step-by-step explanation:

Given the sequence:

[tex]a_n = 2(-1)^n[/tex] .....[1]

where,

n is the number of terms.

To find the fifth term of the given sequence:

Substitute n = 5 in [1] we have;

[tex]a_5 = 2 \cdot (-1)^5[/tex]

⇒[tex]a_5 = 2 \cdot -1 = -2[/tex]

Therefore, the value of fifth term of [tex]a_n[/tex] is, -2

QUICKK EXPERTS/ACE/GENIUSES

Answers

The answer is C because a translation is just moving the object up, down, left, or right. In the other three images, the picture is either reflected or rotated, which is not a translation.

the correct answer would be C.

Using the figure,
a
c
=
d
a
.

What steps need to be taken to change this to a² = cd?

Example: Multiply by 2; divide by a, etc

Answers

[tex] \frac{a}{c} = \frac{d}{a}[/tex] is changed to [tex] a^{2} = cd[/tex] by multiplying by the product of the denominators.

[tex] \frac{a}{c} \times ac = ac \times \frac{d}{a}[/tex]

Because the end result looks like the numerator on the left is multiplied by the denominator on the right, and vice versa, the process is often referred to as "cross multiplying." That is an illusion. The rules of algebra require the same thing be done to both sides of the equation. In this case, that is multiplication of both sides by the product of the denominators.

True or false ? The polynomial below is a perfect square trinomial of the form A2-2AB+B2 4x2-16x+16

Answers

True

4x^2 -16x +16 = (2x -4)^2

A = 2x
B = 4

If it takes 6.7 lb of seed to plant one acre of grass how many acres can be planted with 8.04 pounds of seed?

Answers

This is a proportion problem. 6.7lbs to one acre as 8.04 lbs is to x acres.

x= # lbs of seed to cover 8.04 acres

6.7/1=8.04/x
cross multiply

(6.7*x) =(1*8.04)
6.7x=8.04
divide both sides by 6.7

x= 1.2 pounds needed to cover 8.04 acres

Hope this helps! :)

Answer:

1.2 acres of grass

Step-by-step explanation:

It takes 6.7 lb of seed to plant one acre of grass. The ratio of interest is 6.7 lb seed:1 acre of grass. We can find the acres of grass that can be planted with 8.04 pounds of seed using a conversion fraction.

8.04 lb × (1 acre/6.7 lb) = 1.2 acre

We can plant 1.2 acres of grass with 8.04 pounds of seed.

Use the distributive property to simplify the expression. 8(3 + 4) = 24 +

Answers

Using the distributive property is done by multiplying the factor (outside the parentheses) to each term within it. In this case, 8(3 + 4), we multiply the 8 by 3, and then add it to the product of 8 x 4:
8(3 + 4) = 8 x 3 + 8 x 4 = 24 + 32
If we need to simplify further, this adds up to 56.

The answer is 8(3 + 4) = 24 + 32

plz help ill give you brainlist

Answers

h= # hours rented

EQUATION:
$13.25>$1.75h + $8 fee

subtract 8 from both sides

5.25>1.75h
divide both sides by 1.75

3>h

He can rent the bike for 3 hours and not spend more than $13.25

Hope this helps! :)

standard linear equation:
y=mx+b

Initial cost=initial value = b = 8 (Q did not say $8 is for any rental time).
additional cost per hour = m = 1.75

Equation becomes
y=1.75x+8

If the maximum charge is y=13.25, then we can solve for x, the maximum number of hours to be rented,

13.25=1.75x+8
Subtract 8 from each side
13.25-8=1.75x
5.25=1.75x
divide by 1.75
5.25/1.75=x
x=3

Connor can rent the bike for at most 3 hours.

How many triangles are in a dodecagon

Answers

A dodecagon has 12 triangles

Distribute and simplify these radicals. 12 x(-1+ √5)

Answers

Answer is B. -2√3+2√15

By using distributive property, 12 × (-1 + [tex]\sqrt{5}[/tex]) = 14.832.

What is distributive property?

According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Given

12 × (-1 + [tex]\sqrt{5}[/tex])

Apply distributive property

= 12 × (-1) + 12 × [tex]\sqrt{5}[/tex]

= -12 + 12[tex]\sqrt{5}[/tex]

≅ 14.832

Hence by using distributive property, 12 × (-1 + [tex]\sqrt{5}[/tex]) = 14.832.

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William bought Wiggit stock at 15.125 and sold it for 18. What was the percent of increase?

Answers

so from 18 to 15.125 is 2.875, namely their difference.

now, if we take 15.125 to be the 100%, what is 2.875 off of it in percentage?

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 15.125&100\\ 2.875&p \end{array}\implies \cfrac{15.125}{2.875}=\cfrac{100}{p}\implies p=\cfrac{2.875\cdot 100}{15.125}[/tex]

There are 203 apples in a basket. How many children can share these apples equally? How many apples would each child get?

Question#1: All possible numbers of children in ascending order are:

Question#2: All possible numbers of apples in descending order are:

please help!!!!!!!!!

Answers

Q.1 1,7,29,203
Q.2 203,29,7,1

Answer:

Question 1: 1, 7, 29, 203

Question 2: 203, 29, 7, 1

Step-by-step explanation:

The radius of a sphere is 6 inches. Find the length of a chord connecting two perpendicular radii. x = inches

Answers

Answer:

6√2 ≈ 8.485 inches

Step-by-step explanation:

The radii and the chord together make an isosceles right triangle with legs 6 inches long. The hypotenuse of such a triangle is √2 times the leg length. So, the chord will be 6√2 in long.

_____

Comment on isosceles right triangle

It is worth remembering that the hypotenuse of an isosceles right triangle is √2 times the leg length. This is easily found using the Pythagorean theorem:

... c² = a² + b²

... c² = 1² + 1² = 2 . . . . for legs of length 1

... c = √2 . . . . . . . . . . take the square root.

Scale this result as needed for any particular problem. Here, the scale factor is 6 inches.

Find the maximum and minimum values of f(x,y,z)=5x+4y+1z on the sphere x2+y2+z2=1.

Answers

Use Lagrange multipliers. The Lagrangian is

[tex]L(x,y,z,\lambda)=5x+4y+z+\lambda(x^2+y^2+z^2-1)[/tex]

with partial derivatives (set equal to 0)

[tex]L_x=5+2\lambda x=0\implies x=-\dfrac5{2\lambda}[/tex]
[tex]L_y=4+2\lambda y=0\implies y=-\dfrac4{2\lambda}[/tex]
[tex]L_z=1+2\lambda z=0\implies z=-\dfrac1{2\lambda}[/tex]
[tex]L_\lambda=x^2+y^2+z^2-1=0[/tex]

We can substitute the first three equations into the fourth to solve for [tex]\lambda[/tex]:

[tex]\dfrac{25}{4\lambda^2}+\dfrac{16}{4\lambda^2}+\dfrac1{4\lambda^2}=1[/tex]
[tex]\implies 42=4\lambda^2\implies\lambda=\pm\sqrt{\dfrac{21}2}[/tex]

Now use these values of [tex]\lambda[/tex] to solve for [tex]x,y,z[/tex], which should give you two critical points at [tex]\pm\left(\dfrac5{\sqrt{42}},\dfrac4{\sqrt{42}},\dfrac1{\sqrt{42}}\right)[/tex], which would respectively give a maximum and minimum value of [tex]\pm\sqrt{42}[/tex].

Angel draws a circle with a radius of 5 cm. What is the area of Angel's circle? Use 3.14 for pi

Answers

The area of a circle is
A = pi r^2
r = 5
pi = 3/14

A = 3.14 * (5)^2
A = 3.14 * 25
A = 78.5

Hope this helps!

What is the probability of not drawing a blue marble?

A: 1/4
B: 2/3
C: 1/3
D: 3/4

Answers

The probability is 9/12 which can simplify to D: 3/4

You bought a new shirt for $15.95 and 5 pairs of socks. Your friend bought 10 pairs of socks and spent $4.20 less then you. How much did each pair is socks cost
Answer with an equation with variable. Make the variable the cost of socks.

Answers

Let s represent the cost of a pair of socks.
.. 15.95 +5s -4.20 = 10s
.. 11.75 = 5s
.. 2.35 = s

Any of the above equations will get you to the cost of a pair of socks, which is
$2.35.

simplify the expression using the distributive property 42 + 7a

Answers

42+7a= 7(6+a)
By noticing they both have a factor of 7, I was able to find the equation.

In the diagram, MQ = QP = PO = ON.

If NP is greater than MP, which must be true?

Segment OP is longer than segment MQ.
Segment MN has the same length as segment MP.
The measure of angle Q equals the measure of angle O.
Angle O is larger than angle Q.

Answers

MQ = QP = PO = ON

If NP is greater than MP

answer
Angle O is larger than angle Q.

Answer:The measurement of angle O is greater than angle Q is the correct statement.

Explanation: Since, According to the question, MQ = QP = PO = ON and MP is greater than NP.

Then, In first option, segment OP is longer than segment MQ is false because OP=MQ.

In second option, MN=MP can not be possible because NP is greater than MP.

In third option, The measure of angle Q equals the measure of angle O also can not be possible because MN is not parallel to QO.

But, In fourth option, Since MP is greater than NP thus NO makes larger angle than MQ.

Thus, fourth option is correct.

Which decimal is the equivalent of 6/11 Repeated

Answers

6/11 = 0.54_54 . . . . . the digits 54 are repeated indefinitely You can arrive at the digits 54 by multiplying the numerator (6) by 9. This will be the case for any proper fraction with 11 as a denominator.

Solve the equation using square roots. 7x2 + 6 = 13

Answers

7x² +6=13
7x²=7
x²=1
x=1 or -1

Given the equation is 7x² + 6 = 13.

Solving the quadratic equation using square roots :-

7x² + 6 = 13

Step 1 :- subtracting 6 from both sides

7x² + 6 - 6 = 13 - 6

7x² = 7

Step 2 :- Dividing by 7 on both sides

[tex] \frac{7x^{2}}{7} = \frac{7}{7} \\\\
x^{2} = 1 [/tex]

Step 3 :- Taking square root on both sides

[tex] \sqrt{x^{2}} = \sqrt{1} \\\\
x = -1 \;\;OR\;\; x=1 [/tex]

So, x = -1 or x = 1 is the final answer.

PLEASE HELP I WILL FAIL MATH I will give you brainest

Answers

A- Part
B- $8
You can do 32 x .25 or 32/4

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