The perimeter of a rectangle is an application of the Distributive property is shown below.
What is Distributive Property?The dividing Property it is necessary to multiply each of the two integers by the factor before performing the addition operation when a factor is multiplied by the sum or addition of two words.
This property can be stated symbolically as: A ( B+ C) = AB + AC.
Given:
As, we know the perimeter of a rectangle is twice the sum of its length and width.
let length of rectangle be 'l' unit and width of rectangle is 'w' unit.
So, the Perimeter of rectangle =2L+2W
= 2(L+W)
Here, 2 is distributed over length of width in parenthesis.
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A forest ranger can see a distance of 12 miles from a fire tower how many square miles can he see
Travis and Paula went to lunch. Travis ordered a sandwich for $7.50, and Paula ordered a burger for $5.25. after lunch they left a %15 percent tip for their waiter. how much money did the spend together?
Use the simple interest formula to find the ending balance.
$1500 at 7% for 1.5 years. 13 points
Describe the similarities and differences between a rhombus, square , and rectangle.
Please Help Fast!!
Only answer if you are positive you know the answer, and explain why you choose that answer.
Solve for X.
X^3=1/27, or it could be worded as, X to the third power = 1 over 27
The distance between R and T on the coordinate grid is ___ units. (Input whole numbers only.)
Image of a coordinate grid with point R R located at negative 30, 10 and point T located at 15, 10.
the distance between the R and the T is
4 units
Marcus earns $10.75 per hour working at a sporting goods store. How much money would he earn if he worked 15 hours
Find the distance, to the nearest tenth, from T(6,-5) to V(-2,6).
A.) 1.7 units
B.) 3.0 units
C.) 8.3 units
D.) 13.6 units
f(x)=-2x^4+13x^3-25x^2+8x+12
hat is 965.38 rounded to the nearest tenth? A. 970 B. 965.4 C. 965.3 D. 965
23 decreased by the product of 44 and an unknown number is 199. What is the value of the unknown number.?
What polynomial has roots of −6, 1, and 4?
The answer is c.
If you have a root (a), it can also be written as (x-a).
(x+6),(x-1),(x-4)
Multiply all of them together to get the equation
(x+6)(x-1)(x-4)=
(x2-x+6x-6)(x-4)=
(x2+5x-6)(x-4)=
(x3+5x2-6x-4x2-20x+24)=
x3+x2-26x+24
To find a polynomial with given roots −6, 1, and 4, we create factors (x + 6), (x - 1), and (x - 4). Multiplying these factors, we get the polynomial x3 - 5x2 - 21x + 24.
Finding the Polynomial with Given Roots
To find a polynomial with roots of −6, 1, and 4, we need to create factors that each set to zero at these roots. A polynomial is a product of its factors, and a root is a solution to the equation where the polynomial is equal to zero. The factors corresponding to the roots −6, 1, and 4 are (x + 6), (x - 1), and (x - 4) respectively. Multiplying these factors gives us the polynomial:
(x + 6)(x - 1)(x - 4) = x3 - (1 + 4)x2 + (4 - 1 - 24)x + (6 x 1 x 4)
Let's expand and simplify:
x3 - 5x2 - 21x + 24
Therefore, the polynomial with roots of
−6, 1, and 4 is x3 - 5x2 - 21x + 24.
An apartment has
972
square feet of carpeting. How much is this in square meters? Use the following conversion:
1
square meter is
10.8
square feet.
If an apartment has 972 square feet of carpeting then from conversion we can say that it has 90 square meters.
What is conversion?Conversion is basically converting one unit to another because there are different quantities expressed in different units. Like in one kilogram there are 1000 grams, etc.
How to convert units?We have been given that an apartment has 972 square feet of carpeting and we are required to convert these 972 square units into square meters. We have been given that 1 square meter is equal to 10.8 square feet.
972 square feet=972/10.8
=90 square meters.
Hence if an apartment has 972 square feet of carpeting then from conversion we can say that it has 90 square meters.
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Any of these will help???? Please help me
A photocopy clerk copies 80 pages in 4 min. How much time will he take to copy 200 pages?
you and four friends go to johnny rockets. you all split the bill equally. each person share was $6.50. how much was the original bill. let a represent the amount of the original bill
The amount of the original bill at johnny rockets was $32.50.
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
Let a represent the total bill.
You and four friends split the bill equally. each person share was $6.50. Hence:
a / 5 = 6.50
a = 32.5
The amount of the original bill at johnny rockets was $32.50.
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Count by ones from 368 to 500. Change for a larger unit when necessary.
377? 1 ten 1 hundred ——ones ——tens
which division expression is equivalent to 4 1/3 ÷ -5/6
[tex]4\dfrac{1}{3}\div\left(-\dfrac{5}{6}\right)\qquad(*)\\\\\text{Convert the mixed number to the improper fraction:}\\\\4\dfrac{1}{3}=\dfrac{4\cdot3+1}{3}=\dfrac{12+1}{3}=\dfrac{13}{3}\\\\(*)=\dfrac{13}{3}\div\left(-\dfrac{5}{6}\right)\\\\\text{By dividing by a fraction, we multiply by its reciprocal.}\\\\=\dfrac{13}{3}\cdot\left(-\dfrac{6}{5}\right)\qquad\text{simplify}\\\\=\dfrac{13}{3\!\!\!\!\diagup_1}\cdot\left(-\dfrac{6\!\!\!\!\diagup^2}{5}\right)=-\dfrac{13\cdot2}{1\cdot5}=-\dfrac{26}{5}=-\dfrac{25+1}{5}=-5\dfrac{1}{5}[/tex]
Answer:
the answer is 13/3 ÷ ( - 5/6 ) my luv :)
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Step-by-step explanation:
Need help on my homework so if somebody could at least help me
The twenty-six coins are all dollars and quarters, and they add up to seventeen dollars in value. How many dollars and how many quarters are there?
d +q = 26
d=26-q
1d +0.25q = 17
1(26-q) +0.25q = 17
26 -q +0.25q = 17
26-0.75q = 17
-0.75q = -9
q = -9 / -0.75 = 12
12 quarters and 14 dollars
check 12 * 0.25 = 3
3+14 = 17
math question down below
jason bought 5 movie tickets and a bag of popcorn. Jeremy bought 2 movie tickets. They spend $54 total. If the popcorn cost $5 how much did each movie ticket cost?
A tape costs $4 less than the CD. Okasha bought 1 CD in five tapes. If the total cost was $70 what was the price of the CD ?
The cost of a barrel of oil has recently increased by 20% and is now selling for $72.00. How much was the barrel of oil before the increase?
Answer:
[tex]\$60[/tex]
Step-by-step explanation:
Let
x------> the cost of the barrel of oil before the increase
we know that
[tex]100\%+20\%=120\%[/tex]
[tex]120\%=\frac{120}{100} =1.2[/tex]
so
[tex]1.2x=72[/tex]
Solve for x
[tex]x=72/1.2=\$60[/tex]
One foot is equivalent to 30.48 centimeters . Write this value as a mixed number in simplest form. PLEASE HELP!!!
A builder uses squares to lay out various projects. Write two equations. The first equation should express the area of the square (a) as a function of the length (l) of a side. The second should express the volume of a cube (v) as a function of the length (s) of a side.
Answer:
The area of the square:
a = l²
The volume of a cube:
v = s³
alex is thinking of a doubles fact. the sum is greater than the sum of 7+7 but less than the sum of 8+9. what fact is alex thinking of?
I need lots of help and I really need it
Jacob put 2/18 tablespoons of oil into the bowl. Then he put 1 2/8 tablespoons of milk into the bowl. How much liquid did Jacob put into the bowl?
Solve. (–12.7) ∙ 3.8 ∙ (–7.2) = x ∙ (3.8) ∙ (–12.7) A. –12.7 B. –7.2 C. 1 D. 3.8