The area of the carpet is the amount of space it occupies
The area of the carpet tile is 256 square inchesThe area covered by 120 tiles is 30720 squares inchesHow to determine the carpet areaThe dimension of the carpet tile is 16 inches by 16 inches
So, the area is:
[tex]Area = 16 * 16[/tex]
Evaluate the product
[tex]Area = 256[/tex]
Hence, the area of the carpet tile is 256 square inches
For 120 carpet tiles, the area is:
[tex]Area = 120 * 256[/tex]
[tex]Area = 30720[/tex]
Hence, the area covered by 120 tiles is 30720 squares inches
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X^2 +4X+3
Complete the square using the method
Answer:
(x+3)(x+1)
Step-by-step explanation:
Think of using FOIL
First Outer Inner Last
What can you multiply to get to 3 and add up to 4
I just need help :))
Answer:
to find y use the 3,4,5 method:
to get 9 as the base the 3 is multiplied by 3 there multiply 4×3to get twelve as the height then multiply 5 by three to get 15 as the hypotenuse so to that point the answer is definitely choice D
2 10/20 + -3 15/20 + 5 8/20
let's firstly convert the mixed fractions to improper fractions and then add them up.
[tex]\stackrel{mixed}{2\frac{10}{20}}\implies \cfrac{2\cdot 20+10}{20}\implies \stackrel{improper}{\cfrac{50}{20}} ~\hfill \stackrel{mixed}{3\frac{15}{20}}\implies \cfrac{3\cdot 20+15}{20}\implies \stackrel{improper}{\cfrac{75}{20}} \\\\\\ \stackrel{mixed}{5\frac{8}{20}}\implies \cfrac{5\cdot 20+8}{20}\implies \stackrel{improper}{\cfrac{108}{20}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]2\frac{10}{20}-3\frac{15}{20}+5\frac{8}{20}\implies \cfrac{50}{20}-\cfrac{75}{20}+\cfrac{108}{20}\implies \cfrac{50-75+108}{20} \\\\\\ \cfrac{83}{20}\implies 4\frac{3}{20}[/tex]
What is the product of 5. 86 × 10–7 and 3. 1 × 104 1. Write the expression: (5. 86 × 10–7)(3. 1 × 104) 2. Rearrange the expression: (5. 86 × 3. 1)(10–7 ∙ 104) 3. Multiply the coefficients: (18. 166)(10–7 ∙ 104) 4. Apply the product of powers: 18. 166 × 10-3 5. Write in scientific notation: 1. 8166 × 10n What is the value of n in the scientific notation of the product? n =.
The product of the given expression is [tex]1. 8166 \times 10^{-2}[/tex].
The value of n in the scientific notation of the product is -2.
GivenThe product of [tex]5.86 \times 10^{-7}[/tex] and [tex]3.1 \times 10^4[/tex].
What is scientific notation?Scientific notation is a method of expressing numbers in terms of a decimal number between 1 and 10, but not 10 itself multiplied by a power of 10.
To find the product of the numbers multiplies the terms following all the steps given below.
Step1; Write the expression:[tex](5.86 \times 10^{-7} )\times (1 \times 10^4)[/tex]
Step2; Rearrange the expression:[tex](5.86 \times 3.1)\times (1 0^{-7}\times 10^4)[/tex]
Step3; Multiply the coefficients:[tex](5.86 \times 3.1)\times (1 0^{-7}\times 10^4)\\\\(18. 166)\times (10^{-7} \times 10^4)[/tex]
Step4; Apply the product of powers:[tex]18. 166 \times 10^{-3}[/tex]
Step5; Write in scientific notation:[tex]1. 8166 \times 10^{-2}[/tex]
Hence, the value of n in the scientific notation of the product is -2.
To know more about Scientific notation click the link given below.
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Answer:
n=-2
Step-by-step explanation:
Got it right on the assignment
What is the rate of the boat in still water and what is the rate of the current?
Answer: 2mp
Step-by-step explanation: Let "b" represent the speed of the boat in still water
Let "c" represent the speed of the current
Let "t" represent time
Downstream(same direction) =(b+c)*t
Upstream(against current)=(b-c)*t
(b+c)*3=24
(b-c)*4=16
3b+3c=24....all sides can be divided by 3 =b+c=8
4b-4c=16.....all sides can be divided by 4 =b-c=4
Use Elimination method
b+c=8
b-c= 4 Subtracting
=====
2c=4
find c by dividing both sides by 2. c=2
if c=2, substitute to get b
b+2=8
-2=-2
======
b=6
Speed of boat in still water =6mph
rate of current=2mp
Select all measurements that show equivalent volume to the rectangular prism
shown below.
A. Length = 6 cm, Width = 8 cm, Height = 5 cm
B. Length = 7 cm, Width = 8 cm, Height = 4 cm
C. Length = 8 cm, Width = 10 cm, Height = 3 cm
D. Length = 9 cm, Width = 5 cm, Height = 6 cm
E. Length = 10 cm, Width = 4 cm, Height = 6 cm please answer the bottom one to!
Answer:
a b c and 6
Step-by-step explanation:
Answer:
it's B,C and E
Step-by-step explanation
do you people go to flvs?
In this task, you’ll apply what you’ve learned to answer questions about a skateboard ramp that you and your friends are building for your community skate park. The ramp will lead up to a platform. You’ll be using a piece of wood that’s 3.5 meters long for the ramp, and the ramp’s angle of elevation will be 28°. Use this figure as a model to answer the questions that follow.
A diagram of a ramp leading to a platform. The ramp consists of the triangle ABC, of which the line BC is the left side of the platform. Angle A measures 28 degrees.
Find the horizontal distance from the bottom of the ramp to the bottom of the platform. Show your work, rounding to the nearest hundredth, if necessary.
Answer:
any luck bro with this question
Step-by-step explanation:
y=4 times 1/2 to the power of x
i need help putting it into a table
Answer:
Step-by-step explanation:
y=4 times 1/2 to the power of x can be written symbolically as
4 4
y = 4(1/2)^x. This is the same as y = ------- or y = -------- * 2^(-x)
2^x 1
This function is a "decaying exponential."
A suitable table follows:
x 4(2^[-x]) x y
0 4(2^0) (0, 4)
1 4(2^1) (1, 8)
2 4(2^2) (2, 16)
and so on.
Help please asap! It’s due tonight.
can somebody please answer this asap
Answer:
you have to add all of them up it will get you some of your awner
1/3 of students at a school are boys. If there are 600 students, how many of them are girls?
400
Explanation:
1/3 of 600 is 200. That represents the boys.
Subtract 200 from 600, you get 400. That represents everybody else in the sample size (in this case, girls).
12 x [3+2] dived by 2- 10
Answer:
20
Step-by-step explanation:
12 X (3+2) / 2 - 10
BIDMAS needs to be used here!
(Brackets, Indices, Division, Multiplication, Addition, Subtraction)
To show us what order to do the question.
12 x (5) / 2 - 10
60 / 2 - 10
30 - 10
20
Hope this helps, have a good day. :D
Write 4:20 in the simplest form
Answer:
1:5
Step-by-step explanation:
To write 4: 20 in simplest form we have to find the GCF (Greatest common factor)
The GCF of 4 and 20 is 4.
we need to factor each number
(factors of 4 = 1, 2, 4)
(factors of 20 = 1, 2, 4, 5, 10, 20)
and choose the greatest factor that exactly divides both 4 and 20, i.e., 4.
Now we can divide
4: 4 = 1
20 : 4 = 5
Thus, 4: 20 in simplest form is 1:5
[RevyBreeze]
Answer:
1:5
Step-by-step explanation:
4:20 also can be express as 4/20 {fraction}
Find GCF : 4
Thus,
4/4 = 1
20/4 = 5
we can also see that if we cross multiply:
4 × 5 = 20
20 × 1 = 20
[tex]\frac{4}{20}=\frac{1}{5}[/tex]
Therefore, 4:20 in the simplest form is 1:5 or 1/5
~lenvy~
Please please help me I neeed it
Answer:
3:4
Step-by-step explanation:
3:4 because that's 15/20 reduced
Carly rides her bike 6.8 miles. Ben rides his bike 0.85 times as far as Carly rides hers.
Part A
Which expression shows how far Ben rides his bike?
6.8 + 0.85
6.8 – 0.85
6.8 × 0.85
6.8 ÷ 0.85
How far does Ben ride his bike
Answer:
6.8 x 0.85
Step-by-step explanation:
it says times in the equation which shows that you must use multiplication
Light travels a distance of one mile in about 0.000005368 second.
a
What is this estimated time written as a single digit times a power
of 10?
HELP PLEASE!!
The number of members in a labor union is 240, and the number increases by 5% each year. Find the number of members after 4 years
[tex]~~~~~~ \textit{Union Members Earned Amount}\\\\A=P(1+rt)\qquad\begin{cases}A=\textit{accumulated amount}\\P=\textit{original amount}\dotfill & 240\\r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\t=years\dotfill &4\end{cases}\\\\\\A=240[1+(0.05)(4)]\implies A=240(1.2)\implies A=288[/tex]
6x-3y=12
4x-3y=24
Elimination Please Help
Answer:
x = -6
y = -16
Step-by-step explanation:
if you subtract the two equations from each other then the 'y' terms will be eliminated:
2x = -12
x = -6
solve for 'y':
4(-6) - 3y = 24
-24 - 3y = 24
-3y = 48
y = -16
help me pleaseeeeeeeeeeeeee
Answer: A (6/9) and E (4/6)
Step-by-step explanation: So how to simplify a fraction, you find a number that both the numerator and denominator are divisible by. So for example if you have 6/9; You would divide both 6 and 9 by 3 and you would get 2/3. With E you would divide both 4 and 6 by 2 to get 2 and 3 aka 2/3.
hope this helps
Tell whether the given ordered pair is a solution of the equation. y=4-4x;(-1,-8)
Answer: yes
Step-by-step explanation:
x=3, y=8. You need to plug in -1 into x and -8 into y because it’s (x,y)
Which system of equations could be graphed to solve the equation below? log Subscript 0. 5 Baseline x = log Subscript 3 Baseline 2 x.
You can use the fact that two expressions in equality can be considered to be equal to a third variable(not used in given context).
The system of equations that could be graphed to solve the equation given is
[tex]y = \log_{0.5}(x)\\\\[/tex][tex]y = \log_3(2+x)[/tex]How can we form a system of equations from an equation?Suppose the equation be [tex]a = b\\[/tex]
Let there is a symbol [tex]c[/tex] such that we have [tex]a = b = c[/tex]
It is because a and b are same measure (that is exactly what a = b means)
and we gave another name c to that measure.
Thus, we have
[tex]a = c\\b = c[/tex]
in addition to [tex]a = b\\[/tex]
Using the above method to find the system of equations neededSince the given equation is [tex]log_{0.5}(x) = log_2(2+x)[/tex]
The 2d graphs are usually expressed as [tex]y = f(x)[/tex] on X-Y plane.
Taking the equation's expressions equal to y, we get
[tex]log_{0.5}(x) = log_2(2+x) = y[/tex]
or, we get system of equations as
[tex]y = log_{0.5}(x)\\\\y = log_3{(2 + x)}[/tex]
Their graph is plotted below. The intersection point of both curves is the solution to the given equation as it satisfies both the equations of the system of equations formed from the given equation.
Thus,
The system of equations that could be graphed to solve the equation given is
[tex]y = \log_{0.5}(x)\\\\[/tex][tex]y = \log_3(2+x)[/tex]Learn more about solutions to system of equations here:
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which equation can be used to solve got x in the following diagram
Help please The question is in the photo
Name the lead coefficient and constant.
f(x) = -5x +9
-11 2/3 x (-4 1/5 ) = any help???
Answer:
did this as multiplication
=49
Step-by-step explanation:
-35/3 * -21/5 = 735/15 =49
what type of triangle is this?
Answer:
A right triangle
Step-by-step explanation:
It follows the 321 rule
[tex] \frac{9x - 9}{ \\ 3x - 3} = [/tex]
please help me here
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
[tex]\dfrac{9x-9}{3x - 3}=\dfrac{9*(x -1)}{3 * (x - 1)} = 3[/tex]
los 7/9 del sueldo de una persona son 280 dolares ¿cual es el sueldo de la persona,
Answer:
$360
Step-by-step explanation:
El sueldo de la persona es igual a un monto de $360
Si tenemos un número y queremos determinar una fracción de este entonces debemos multiplicar la fracción por el número recordando que en la multiplicación de fracciones se obtiene una fracción con numerador la multiplicación de los numeradores y con denominador la multiplicación de los denominadores (si es solo un número entero su numerador es el entero y su denominador es 1), luego se simplifica de manera de obtener una fracción irreductible (fracción donde el numerador y el denominador no tengan términos en común)
Los 7/9 del sueldo es $280, entonces si el sueldo es "x" tenemos que:
7/9*x = $280
x = $280*9/7 = $2520/7
x = $360
One factor of f (x ) = 4 x cubed minus 4 x squared minus 16 x 16 is (x – 2). What are all the roots of the function? Use the Remainder Theorem. X = 1, x = 2, or x = 4 x = –2, x = 1, or x = 2 x = 2, x = 4, or x = 16 x = –16, x = 2, or x = 16.
To solve the problem we must know about the Remainder Theorem.
What is the Remainder theorem?According to the remainder theorem, when a polynomial P(x) is divided by (x-t) then the remainder of the division is equal to P(t). If P(t)=0, then the (x-t) is the factor of the polynomial.
The roots of the function are 2, 1, and -2.
Given to us
One factor of f (x) = [tex]4x^3-4x^2-16x+16[/tex] is (x – 2).What is the quotient of the function?We know (x-2) is the factor of the function, f(x) = [tex]4x^3-4x^2-16x+16[/tex],
therefore,
[tex]f(x) =4x^3-4x^2-16x+16 = [(x-2) \times quotient] + Remainder[/tex]
As (x-2) is the factor of the function, therefore, the remainder will be zero for the equation,
[tex]\rm quotient=\dfrac{4x^3-4x^2-16x+16}{(x-2)}[/tex]
[tex]\rm quotient=4x^2+4x-8[/tex]
What are the factors of the function?Solving the quadratic equation,
[tex]4x^2+4x-8=0\\\text{Dividing botht the sides of the equation by 4}\\4x^2+4x-8=0\\(x-1)(x+2)=0\\[/tex]
Hence, the roots of the function are 2, 1, and -2.
Learn more about Remainder theorem:
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Answer:
B
just took the test. trust me :)
Write out, in paragraph form, a plan for completing the following proof.
For example, will you prove triangles congruent? How? By what theorem?
Given:
AR= AQ
RT=QS
Prove:
Angle RAT = QAS
Congruent triangles have equal corresponding sides and angles
Angles RAT and QAS are congruent
How to prove that angles RAT and QAS are congruentGiven that:
AR= AQ and RT=QS
Subtract QS from both sides of the second equation
RT-ST=QS-ST
The above equation means that:
RS = QT or
RS = TQ
In triangle ARQ,
Angles R and Q are congruent because the base angles of an isosceles triangle are congruent.
So, we have:
Angle R = Angle Q
Also,
Angle ARS is congruent to ATQ.
The above means that:
Side lengths AT and AS are congruent
So, we have:
AT=AS ---- The base angles of an isosceles triangle ATS
Because of the above highlights,
Angle 1 = Angle 3
Add angle 2 to both sides
Angle 1 + Angle 2 = Angle 3 + Angle 2
So, we have:
Angle RAT = Angle QAS
Hence, angles RAT and QAS are congruent
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