In a rectangle, the length is three times the width. If the area of the rectangle is 18 square meters, find
the length of the rectangle to the nearest hundredth
of a meter.
Answers
Related Questions
Cory writes the polynomial x7 3x5 3x 1. Melissa writes the polynomial x7 5x 10. Is there a difference between the degree of the sum and the degree of the difference of the polynomials?.
Answers
Degree of a polynomial gives the highest power of its terms. Yes there is a difference between the degrees of sum and difference of the polynomials.
What is degree of a polynomial?Degree of a polynomial is the highest power that its terms pertain(for multi-variables, the power of term is addition of power of variables in that term).
Thus, in [tex]x^3 + 3x^2 + 5[/tex], the degree of the polynomial is 3 as the highest power in its terms is 3.
(power and exponent are same thing)
What are like terms?Those terms which have same variables raised with same powers.
For example, [tex]x^3[/tex] and [tex]3x^3[/tex] are like terms since variable is same, and it is raised to same power 3.
For example [tex]4x^2[/tex] and [tex]x^3[/tex] are not like terms as the variables are same but powers aren't same.
The given polynomials are:
[tex]c(x) = x^7 + 3x^5 + 3x + 1\\\\p(x) = x^7 + 5x + 10[/tex]
Their sum is
[tex]c(x) + p(x) = x^7 + 3x^5 + 3x + 1 + x^7 + 5x + 10 = (1+1)x^7 + 3x^5 + (3+5)x + 11\\\\c(x) + p(x) = 2x^7 + 3x^5 + 8x + 11[/tex]
(only like terms' coefficients can be added (or subtracted) for addition or subtraction of them )
The sum's degree is 7
Their difference is:
[tex]c(x) - p(x) = x^7 + 3x^5 + 3x + 1 - x^7 -5x - 10 = (1-1)x^7 + 3x^5 +(3-5)x -9\\\\c(x) - p(x) = 3x^5 - 2x - 9[/tex]
Difference's degree is 5
Thus, both's degrees are not same.
Thus, Yes there is a difference between the degrees of sum and difference of the polynomials.
Learn more about subtraction of polynomials here:
https://brainly.com/question/9351663
Determine if the statement is true or false.
66 = 7 (mod 12)
Answers
Answer:
false
Step-by-step explanation:
66 mod 12
quotient 5
reminder 6
true statement
66 = 6 (mod 12)
you are on a 750 mile trip by car . ur car used seven gallons of gas to travel the first 210 miles of the trip. how much more gas will u need to make it the rest of the way at the same rate ? show work
Answers
Answer:
A total of 18 gallons of more gas
Step-by-step explanation:
7 gallons = 210 miles
750-210= 540
210*2 =420 miles 7*2=14 gallons
210/2= 105 7/2=3.5 gallons
525 miles 17.5 miles
210/14= 15 7/14=.5 gallons
540 miles 18 gallons
What is the perimeter of a pentagon with side length 35cm?
Answers
Answer:
175 cm
Step-by-step explanation:
35 x 5 = 175
-All of the following are phases (states) of matter EXCEPT:
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Answer:
The states of matter are solid, liquid, gas, and plasma
Step-by-step explanation:
you didn't have any options so I'm just telling you them
There are seven boys and seven girls in a class. The teacher randomly selects one student to answer a question. Later, the teacher randomly selects a different student to answer another question. The first student is a boy and the second student is a girl.
Find the probability
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0.5 for a girl
Graph: f(x)= (x+1)(x – 5)
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Answer:
f(x)=(x+1)(x-5)
=x+1=x-5
=1+5=x-x
=6
Carlos uses a food delivery service to order lunch. He paid $13.75 for lunch, which included the cost of the food and a delivery fee, which is 10% of cost of the food. What was the cost of Carlos' lunch before the delivery fee? Enter your answer in the box.
Answers
Answer:
$12.50
Step-by-step explanation:
Let x = the cost of the food without the delivery fee.
The delivery fee can be represented as 0.10x.
Keep in mind that the cost of the food plus the delivery fee equals $13.75.
Therefore, your equation will look like: 13.75 = x + 0.10x
x + 0.1x = 1.10x
So, 13.75 = 1.10x
This means that x = 13.75/1.10
x = 12.5 = $12.50
Answer: Let's represent the cost of the food as "x".
We know that the delivery fee is 10% of the cost of the food, so it can be written as 0.1x.
The total cost that Carlos paid for lunch is the sum of the cost of the food and the delivery fee, which is:
Total cost = Cost of food + Delivery fee
$13.75 = x + 0.1x
Simplifying the equation, we get:
$13.75 = 1.1x
Dividing both sides by 1.1, we get:
x = $12.50
Therefore, the cost of Carlos' lunch before the delivery fee was $12.50.
YES 12.50 is correct I am a k12 student and I have proof. the quiz name is 2.09 Quiz: Multistep Percent Problems
I need help on this other question sry if it is hard... here is the pic.
Answers
Answer:
142%
Step-by-step explanation:
i may be wrong but hopefully im not!!
Answer:
142%
Step-by-step explanation:
To change a fraction to a percentage, multiply it by 100%
1 [tex]\frac{21}{50}[/tex] ( change to an improper fraction )
= [tex]\frac{71}{50}[/tex] × 100% = 71 × 2 = 142%
Evaluate a + b for a = 2 and b = 3.
Answers
Hey there!
a + b
= 2 + 3
= 5
Therefore, your answer is: 5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Select all that are equal to 64(6-5)
Answers
Answer:
the middle 3
Step-by-step explanation:
6^(4-5)
6^(-1)
so three are equal to this
1/6
6^-1
and
1/6^1
what is 9.6 divided by 0.12 (with equation pls)
Answers
Answer:
9.6 ÷ 0.12
Expand 9.6/0.12 by multiplying both numerator and the denominator by 100.
=960/12
Devide 960 by 12 to get 80
=80
So the answer is 80
Step-by-step explanation:
#Carry on learning
How many degrees are there in the angle between the hour and minute hands of a clock is a quarter past two
Answers
The number of degrees there are in the angle between the hour and the minute hands of the described clock is; 30°
Angle measure on a wall clockThe conventional analogue wall clock is numbered 1 to 12.
On this note, there are 12 unit subdivisions on the clock.
Each unit subdivision covers angle measure;
360°/12 = 30°Since, at quarter past two; the hour arm of the clock is on 2 and the minute arm is on 3;
It follows that the degree measure of the angle subtended is; 30°.
Read more on degree measure;
https://brainly.com/question/4221639
Ann purchased a DVD player on sale. The initial price was $175.90. The price after the discount was $150.75. What was the percent of decrease (discount rate)?
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Answer:
14.29% decrease (actual : 14.2979%)
FIRST PERSON TO ANSWER GETS BRAINLIST AND 10 POINTS!!!!!!
Robert's dresser drawer contains 4 red socks, 10 black socks, 6 white socks, and 4 gray socks. If Robert randomly selects one sock from the drawer, which of the following statements are true? Select all that apply. The probability of selecting a gray sock is the same as the probability of selecting a red sock Each color sock is equally likely to be chosen from the drawer. This scenario can be represented by a non-uniform probability model. This scenario can be represented by a uniform probability model.
Answers
Answer:
The answer to your problem is black (1/5)
Step-by-step explanation:
Use the graph to find the
a y-intercept
b. the slope of the line
С.
write the equation of this line
Answers
Since the line is pointing down, it has a negative slope, and since the y value goes down 2 for every 3 x values, the slope is -2/3. You should always right the slope in rise/run form, or change in y/change in x.
Finally, write the equation in the form of y=mx+b, where m is the slope and b is the y intercept. This means the equation of the line is y=-2/3x+2.
In a right isosceles triangle, the lengths of both legs are equal. For the given isosceles triangle, what is the value of x?
Answers
well, we know the triangle besides being an isosceles, is also a right-triangle, so let's use the pythagorean theorem.
[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{\sqrt{72}}\\ a=\stackrel{adjacent}{x}\\ b=\stackrel{opposite}{x}\\ \end{cases}\implies (\sqrt{72})^2=x^2+x^2 \\\\\\ 72=2x^2\implies \cfrac{72}{2}=x^2\implies 36=x^2\implies \sqrt{36}=x\implies 6=x[/tex]
Answer:
x = 6
Step-by-step explanation:
sine law
a/ sin a = x / sin x
(72)^1/2 / sin 45º = x / sin 90
6 = x/1
multiply each side by 1
6 = x
PLEASE HELP ME I REALLY NEED IT
Answers
Divide 32,400 by twelve
32,400/12=2,700
2,700x4 equals the amount depreciated in 4 years which equals 10,800
Subtract 10,800 from the original value 32,400-10,800= 21,600
A is your answer
How do you calculate 33% of 500 by first calculating 1% of 500
Answers
Answer:
165
Step-by-step explanation:
first 1% of 500 is calculated and then multiplied by 33:
[tex]\frac{1}{100} (500)=5[/tex]
5(33)=165
Hope this helps
Based on the information in this table, which equation can be used to model the relationship between x and y?
Question 6 options:
y = 5x + 2
y = 2x
y = 2x + 5
y = 5x
Answers
Take 2 points
(6,17)(7,19)Slope:-
[tex]\\ \tt\hookrightarrow m=\dfrac{19-17}{7-6}=2[/tex]
Equation in point slope form
[tex]\\ \tt\hookrightarrow y-17=2(x-6)[/tex]
[tex]\\ \tt\hookrightarrow y-17=2x-12[/tex]
[tex]\\ \tt\hookrightarrow y=2x+5[/tex]
Sam buys a bus ticket for $1.60 and a breakfast burrito for $3.75 each day, Monday through Thursday. He leaves a $1.40 tip each day.
Answers
Answer: $22.20
Step-by-step explanation: yw
Solve the system of linear equations by substitution.
y = 2x + 8
y = -2x
Answers
Answer:
(- 2, 4 )
Step-by-step explanation:
y = 2x + 8 → (1)
y = - 2x → (2)
substitute y = 2x + 8 into (2)
2x + 8 = - 2x ( add 2x to both sides )
4x + 8 = 0 ( subtract 8 from both sides )
4x = - 8 ( divide both sides by 4 )
x = - 2
substitute x = - 2 into (2)
y = - 2(- 2) = 4
solution is (- 2, 4 )
Answer: [tex]y=4,\:x=-2[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}y=2x+8\\ y=-2x\end{bmatrix}[/tex]
[tex]\mathrm{Substitute\:}y=-2x[/tex]
[tex]\begin{bmatrix}-2x=2x+8\end{bmatrix}[/tex]
[tex]{Isolate\:}x{for -2x=2x+8[/tex]
[tex]x=-2[/tex]
[tex]\mathrm{For\:}y=-2x[/tex]
[tex]\mathrm{Substitute\:}x=-2[/tex]
[tex]y=-2\left(-2\right)[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]y=4[/tex]
[tex]The\:solutions\:to\:the\:system\:of\:equations\:are:[/tex]
[tex]y=4,\:x=-2[/tex]
Good Luck!
6) the cost of a video game is $22.00
Sales tax is 6%
How much will the game cost, including tax
Answers
Answer:
$23.32
Step-by-step explanation:
can you simplify 4+6(3)+2(5 1/2 -1)
Answers
Answer:
31
5 1/2 - 1 = 4.5
4+ 18= 22
2(4.5) = 9
22+ 9 = 31
Step-by-step explanation:
Seven people are going to share an 84-ounce bottle of soda. How many ounces will each person get to drink?
Answers
Answer:
Each person is gonna drink 12 ounces
Step-by-step explanation:
84 divided by 7 is 12
As it is 7 people sharing one drink that is 84 ounces I divided since they would be sharing equally and as it was the right thing to do.
Not a teacher
PLS HELP MARKING BRAINLEIST JUST BE QUICK
Answers
Answer:
19w + 3
Explanation:
perimeter: length measure of all sides
perimeter for this shape:
→ 4w + 4 + 6w + 5 + 7w + 3 + 2w - 9
group terms like this ↓
→ 4w + 6w + 7w + 2w + 4 + 5 + 3 -9
add basic numbers ↓
→ 4w +6w +7w +2w +3
final answer ↓
→ 19w + 3
Perimeter is the sum of all the sides.
2w-9 + 4w + 4 + 6w + 5 + 7w + 3
Combine like terms:
19w + 3
A farmer has 696 acres of pasture for sheep grazing, and 40 acres for growing cotton. An average of 8 sheep graze on one acre. How many sheep does the farmer have?
Answers
Step-by-step explanation:
[tex]1 \: acre \: = \: 8 \: sheeps \\ 696 \: acres \: = 8 \times 696 = 5568 \: sheeps[/tex]
There re 380 light bulbs lined up in a row in a long room. Each bulb has its own switch and is currently switched off. Each bulb is numbered and is consecutively from 1 to 380. You first flip every switch. You then flip the switch on every second bulb. You then flip the switch on every third bulb. This continues after you have gone the process 380 times
(I rlly need help)
Answers
Flipping the bulbs is an illustration of sequence and patterns
19 bulbs would remain on.
How to determine the number of bulbs that will be onThe sequence of turning the bulbs off and on, would change the state of the bulbs until the 380th process.
While changing the state of the bulbs, the bulb at the perfect square positions would remain on.
There are 19 perfect square numbers between 1 and 380 (inclusive)
Hence, 19 bulbs would remain on.
Read more about sequence and patterns at:
https://brainly.com/question/26698448
which of these functions has the highest midline?
a) 1-sin(t+3pi/2),
b) 2-sin(t/2 + pi/4),
c) sin(2t- pi/2),
d) 2sin(t-pi)
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what is the area of the parallelogram
Answers
Answer:
the area parallelogram is 90%