The area of a field is (56x2 + 108x + 36) m2. The width of the field is (14x + 6) m. What is the length?

Answers

Answer 1

Answer:

[tex]area = length \times width \\ length = \frac{area}{width } \\ length = \frac{(56 {x}^{2} + 108x + 36) {m}^{2} }{(14x + 6)m} \\ length = (4x + 6)m[/tex]


Related Questions

Answer 1a please and thank you

Answers

Answer:h

Step-by-step explanation:

j

A merchant bought a dozen of books for 1500 birr and sold it at a profit of 15% of its cost price. What is the selling price?​

Answers

Answer: They sold each book at a price of 143.75 birr

Step-by-step explanation:

1500 divided by 12 is 125 and 15% of 125 is 18.75 so add it together and you got your answer. hope this helps <3

Answer:

C. 1725

Step-by-step explanation:

We can find the selling price by adding the cost price and the profit made

As the merchant has made 15% of profit on 1500 birr . So ,

15% of 1500 is 225 birr

[tex] \frac{x}{1500} \times 100 = 15 \: percent[/tex]

Adding the cost price and profit made we get ,

Selling Price = 1500 birr + 225 birr

Sp = 1725 birr

8) Casey has n nickels. Megan has 4 times as many nickels as Casey has. Write the expression that
represents the total number of nickels Casey and Megan have. Use an expression bubble.

PLEASE HELP GIVING A GOOD AMOUNT IF POINTS

Answers

Answer: 5n nickels

Step-by-step explanation:

Since Casey has n nickles and Megan has 4 times as much, Megan has 4*n nickels = 4n nickels. The total ampunt = n+4n = 5n nickels.

So , there is this thing that says : "the circumference of a circle is 7,850 , whats the radious?

Answers

Answer:

1250 (corrected to 3 significant figures)

Step-by-step explanation:

the formula to calculate circumference is 2πr, where r is the radius.

hence, we can form the equation

2πr = 7850

r ≈ 1249.3663

= 1250 (corrected to 3 significant figures)

Find the slope of the graph

Answers

Answer: The slope of the graph is -2

Step-by-step explanation:

Take any two points from the graph, and do rise/run

For example, we take (1,3) and (2,1)

Apply rise/run... rise: 2, run: -1

2/-1 = -2

m = -2

For the next question, the slope is 4

And the last question, the slope is 1 1/2

Hope this helped!

What is the slope of the line that passes through the points (-4, -1) and (4, 5)?

a) 4/3
b) 3/4
c) -3/4
d) -4/3

Answers

Answer:

3/4

Step-by-step explanation:

Since we have two points, we can use the slope formula

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

   = ( 5 - -1)/( 4 - -4)

   = ( 5+1)/(4+4)

   = 6/8

   = 3/4

My first question ever, and my last question yet.


Alec and Beau race to compute 1 + 2 + 3 + ... + n. Alec skips two numbers and gets a sum of 92. Beau double-counts two numbers and gets a sum of 145. What is the value of n?

Answers

Answer:

n = {14, 15, 16}

Step-by-step explanation:

This is a sum of the first n terms of an AP:

S = (1 + n)*n/2

The true sum is between 92 and 145:

92 < n(n + 1)/2 < 145184 < n(n + 1) < 290184 < n² + n < 290185 < (n + 1/2)² < 291√185 < n + 1/2 < √29114 ≤ n < 17

Let n = 14

S = 14*15/2 = 105

Let n = 15

S = 15*16/2 = 120

Let n = 16

S = 16*17/2 = 136

A bootstrap sampling distribution was constructed for a single mean. The sample mean was 100 and the standard deviation was 15. Given a sample size of 30 the standard error was 2.739. If the sample size were increased to 500, how would the standard error change?
a. It would increase.
b. It would stay the same.
c. It would decrease.

Answers

Answer:

c. It would decrease

Step-by-step explanation:

When you increase the sample size, you decrease the standard/marginal error since you have a bigger representation of the population. However, this would take time and money to collect data for these big samples.

Please answer this (who ever answers correctly gets brainlest)

Answers

Answer:

3.6 ft = 43.2 inches  

3.6 ft = 1.2 yards

Explanation:

Every foot is 12 inches. 3.6 * 12 = 43.2

To find yards, divide the feet by 3.

3.6 / 3 = 1.2

solvemath ttttttttttttttttttttttttttttttttttttttttt

Answers

Answer:

Step-by-step explanation:

1)5^1/3*3 = 5^3/3 = 5

2) 5+x=2 =>x=2-5 => x=-3

3)2*1/2^2*4^4 => 2*1/4*256 => 0,5*256 = 128

4) Rule!Any number to the power 0 is equal to 1; and 1 to any power will always give 1. => 1^5 =1.

5)x^(-6)-(-4) => x^-2 ; x^(-2)+3=x

y^5-8=y^-3

=>z^3/ x^2*y^3
z^0=1

x/y^3

8
——

math



pls help geniuses!!
——————————-

Answers

Answer:

C = ( -7 , 6 )

R = 2

SO ...

The ANSWER is "A"

A construction company takes 1 3/8 hours to remove 2 1/2 metric tons of dirt from a construction site. What is the unit rate in metric tons per hour? Write your answer as a fraction or a mixed number in simplest form.
PLEASE HELP!! NO LINKS PLZ

Answers

Answer:

  1 9/11 T/h

Step-by-step explanation:

You want the unit rate in metric tons per hour of removal of 2 1/2 metric tons in 1 3/8 hours.

Unit rate

The unit rate in tons per hour is found by dividing tons by hours:

  (2 1/2 T)/(1 3/8 h) = (5/2 T)/(11/8 h) = (20/8 T)/(11/8 h) = 20/11 T/h

 = 1 9/11 T/h

The unit rate is 20/11 metric tons per hour, or 1 9/11 metric tons per hour.

<95141404393>

Can someone please help me? I will give brainliest!

Answers

Answer:The height is 12ft

The length of the rug is 10ft and the height of the parallelogram is 12ft

The width of the rug is 6ft wide and the parallelogram is 9ft wide

Yes the rug will fit

Step-by-step explanation:

The Martinez family ate at a restaurant. The cost of the meal was $34.50. The sales tax was 6% of the cost of the meal. They left a tip of 15% of the cost of the meal plus tax. What was the total cost of the meal, tax, and tip?
(I ALREADY KNOW THE ANSWER. BUT I NEED THE WORK FOR THE ANSWER TO SHOW MY TEACHER) (the answer is $42.06 btw)

Answers

1. observe problem

The Full price is:

The Subtotal + the Subtotal*tax

so,

34.50+34.50*0.06=

36.57

The Full price plus tip is

Full price + Full price * tip percentage

so,

36.57+36.57*0.15

Which is

$42.0555

Rounded to is

$42.06


please help with this : use 3 for pi

Answers

156 sq ft
explanation:
a of circle= pir^2=192
a of sq= 6*6=36
192-36= 156

(4x+3)^2=225^2

Simplify and find the solution

Answers

Answer:

hi is this correct please let me know

Step-by-step explanation:

4x

4

+91x

2

−225=0

Substitute t for x

2

.

4t

2

+91t−225=0

All equations of the form ax

2

+bx+c=0 can be solved using the quadratic formula:  

2a

−b±

b

2

−4ac

. Substitute 4 for a, 91 for b, and −225 for c in the quadratic formula.

t=

2×4

−91±

91

2

−4×4(−225)

Do the calculations.

t=

8

−91±109

Solve the equation t=

8

−91±109

 when ± is plus and when ± is minus.

t= 49

t=−25

-57
Hopefully it’s correct

Triangle A has a height of 2.5cm and a base of 1.6cm. The height and base of triangle B are proportional to the height and base of triangle A. Which of the following could be the height and base of triangle B?

Answers

Answer:

I THINK ( A ) IS CORRECT ANSWER

I THINK ( A ) IS CORRECT ANSWERHOPE THIS HELPS U!!!

Plssss help
I need AC

Answers

Answer:

AC = 18

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{AC}{12\sqrt{3} }[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2 AC = 12[tex]\sqrt{3}[/tex] × [tex]\sqrt{3}[/tex] = 12 × 3 = 36 ( divide both sides by 2 )

AC = 18

∠ACB=90° ⇒ ΔABC is right triangle

AB is hypotenuse, ∠BAC=30° ⇒

[tex]CB=\dfrac{AB}{2}=\dfrac{12\sqrt{3} }{2} =6\sqrt{3}[/tex]

Let's use Pythagorean theorem

[tex]AB^2=BC^2+AC^2\\AC^2=AB^2-BC^2\\AC^2=(12\sqrt{3})^2-(6\sqrt{3} )^2\\AC=\sqrt{(12\sqrt{3}-6\sqrt{3})(12\sqrt{3}+6\sqrt{3}))} \\AC=\sqrt{6\sqrt{3}\times18\sqrt{3} } \\AC=\sqrt{3\times6\times18} \\AC=18[/tex]

I NEED HELP!!!!

What is the main difference between multiplying decimals and whole numbers? If one factor has 2 decimal places and another factor has 1 decimal place, how many decimal places will the product of these two factors have?

Answers

Answer:

Both type of  numbers have a decimal point but the decimal numbers can contain digits other than 0 so you have to worry for these numbers when you're multiplying and the placement of the decimal point in the answer.

A way think about it is sum the total numbers after the decimal point, this work because the numbers can be represented as fractions (explanation below) so If one factor has 2 decimal places and another factor has 1 decimal place the answer have 3 decimal places.

Step-by-step explanation:

A whole can be represented as 2 and so on, while a decimal number is represented as 3.14 when the numbers after the decimal point can be different of 0.

So when you multiply two decimal numbers check the total number of number after the decimal point and sum these amounts.

Where the total number of numbers after the decimal point is equal to the power of 10 in the denominator that's mean equal to 3. However this method takes more time, so is more simply to say that the total of numbers after the decimal point is the sum of the total of numbers after the decimal point of each decimal number.

Model the following verbal description below with an equation, Table, and graph. The table must include at least five data points. The table must include at least five data points. The basketball team wants to order shirts for the game days. The t-shirt company charges a $5 flat rate for using their services and $2 for every letter on the shirt.

Answers

do times and what ever u get u use division

Modeling of a situation is getting its properties held in another system, usually mathematical. The equation for given situation is [tex]C = 2T + 5[/tex]

How to form mathematical expression from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For the given case the number of t-shirts brought is not known, so let we take it as T

Since each t-shirt costs $2, thus, T t-shirts will cost: T × $2

Since, cost of using the service of the t-shirt company is $5 flat rate, thus,

Total cost for purchasing T t-shirts = T × $2 + $5

Let total cost be denoted by C, then:

[tex]C = 2T + 5[/tex]

(we usually  don't write multiplication sign usually, and write the quantities close to each other, denoting that they're in multiplication.)

(we usually don't write symbols like $ etc in equations. It is known from context like what type of currency is in discussion(if multiple currency, then we can do some modification to variable symbols).

Thus,

The equation for given situation is [tex]C = 2T + 5[/tex]

Table for it, using values of T from 1 to 5, we get:

[tex]\begin{array}{cc}T&C\text{(In dollars)}\\1&7\\2&9\\3&11\\4&13\\5&15\end{array}[/tex]

Plotting them in graph, we get the following attached graph.

Learn more about forming equations here;

https://brainly.com/question/12279939

Distribute. 8(3x + 9)

Answers

Answer:

24x + 72

Step-by-step explanation:

Here’s the explanation!!!!!

Answers

Answer:

It's correct

Step-by-step explanation:

(θ‿θ)(θ‿θ)(θ‿θ)

BCDE is a Rhombus.
B
С
55°
E
D
What is the mDBE?

Answers

I think it’s 55* because it’s the same triangle as the other one

PLEASE HELP FAST
Let (W) be the number of white T-shirts and (T) the number of tie-dye T-shirts.
w+t=500
15w+20t=9000

If w is on the horizontal axis, then the intercepts of the line for the first equation are

x-intercept: (500,0),
y-intercept: (0,500).

what are the intercepts of the line for the second equation?

The x intercepts is ____
//in a drop down box\\
(0,450)
(0,600)
(450,0)
(600,0)
The Y intercept is ___
//in a drop down box\\
(0,450)
(0,600)
(450,0)
(600,0)​

Answers

Answer:

x-Intercept: 600,0

y-intercept:0,450

Step-by-step explanation:

Got it right on the test

Answer:

The x intercept is 600, 0. The y intercept is 0, 450.

Step-by-step explanation:

I got it correct on edge.

For each value of w, determine whether it is a solution to -54 <7w-5.

Answers

Answer:

All in order:

YES

NO

NO

NO

Step-by-step explanation:

-54 ≤ 7(-7) - 5 YES because the sign says greater than or equal to (in the image)

-54 ≤ 7(5) - 5 NO

-54 ≤ 7(7) - 5 NO

-54 ≤ 7(-9) - 5 NO

please help!

use the order of operations to solve each problem.

1.) 2×3[7+(6÷2)]

2.) 3[-3(2-8)-6]

3.) 3×3[2-(9÷3)]

4.) 2[-5(4-12)-3]

5.) [(3×3)-(30÷6)]+(-27)-13

6.) 2÷[(4÷2)+(32÷8)]

Answers

Answer:

1.) 60

2.) 36

3.) -9

4.) 74

5.) -36

6.) [tex]\frac{2}{6} =\frac{1}{3}[/tex]

Step-by-step explanation:

1.) 2×3[7+(6÷2)]

2×3[7+3]

2×3×10

2×30

60

2.) 3[-3(2-8)-6]

3[-3(-6)-6]

3[18-6]

3×12

36

3.) 3×3[2-(9÷3)]

3×3[2-3]

3×3[-1]

3×3×-1

9×-1

-9

4.) 2[-5(4-12)-3]

2[-5(-8)-3]

2[40-3]

2×37

74

5.) [(3×3)-(30÷6)]+(-27)-13

[9-5]+(-27)-13

4-27-13

4-40

-36

6.) 2÷[(4÷2)+(32÷8)]

2÷[2+4]

2÷6

[tex]\frac{2}{6} =\frac{1}{3}[/tex]

Hope this helps!

Does anyone know this problem!! I need help asap!! #help

Answers

Answer:

you times that by 7 I think

Step-by-step explanation:

Answer:

3.5 miles

Step-by-step explanation:

i think, if its wrong- s o r r y ;v;

Is the relation shown in the table below a function?

Answers

No it is not a function.

There are 2 possible answers for the input 3. When an input has more than 1 possible answer it is not a function.

What prism or other 3-dimensional shape would you use to model the tree trunk below? (Rectangular prism, triangular prism, square prism, or cylinder). If the height of the tree trunk is 13 ft and the radius is 1.5 ft, what is the volume in cubic feet?

Answers

Answer:

cylinder91.9 ft³

Step-by-step explanation:

a)

An object with a uniform circular cross section is generally modeled by a cylinder.

__

b)

The formula for the volume of a cylinder is ...

  V = πr²h

For the given radius and height, the volume is ...

  V = π(1.5 ft)²(13 ft) ≈ 91.9 ft³

The volume of the tree trunk is about 91.9 ft³.

VOLUME OF A CYLINDER

Problem:

What prism or other 3-dimensional shape would you use to model the tree trunk below? (Rectangular prism, triangular prism, square prism, or cylinder). If the height of the tree trunk is 13 ft and the radius is 1.5 ft, what is the volume in cubic feet?

Answer:[tex] \color{hotpink} \bold{91.85 \: \: ft} [/tex]

— — — — — — — — — —

— I will use cylinder to model the tree trunk since it's looks like. (Please refer to the pic)

Formula:[tex] \underline{ \boxed{ \sf \: V=πr²h}}[/tex]

where,

V is the Volumeπ (pi) is the constant 3.14r is the radiush is the height

– This formula is used when the radius of the base is given.

Solution:

Remember that radius has to be multiplied by itself (squared). And pi (π) is the constant 3.14.

– Using the formula above, substitute the givens in the formula then solve.

[tex] V=πr²h[/tex]

[tex]V=3.14 \times (1.5)² \times 13[/tex]

[tex] V=3.14 \times (2.25 \times 13)[/tex]

[tex]V= \underline{ \boxed{ \blue{ 91.85 \: ft ^{3} }}}[/tex]

Hence, the volume is 91.85 ft³.

_______________∞_______________

The temperature on one planet is -42 degrees. On another planet, it is -70 degrees. What is the difference in these 2 temperatures?

Answers

Answer:

28 degree difference

Step-by-step explanation:

-70-(-42) = -28

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