Answer:
Length is 10
Width is 8
Step-by-step explanation:
The formula for the perimeter of a rectangle is:
[tex]P=2l+2w[/tex]
We are told that the length l is 2 more than twice the width w. In other words:
[tex]l=2+2w[/tex]
Also, we are given that the perimeter is 28. Therefore:
[tex]P=2l+2w\\28=2(2+2w)+2w[/tex]
Distribute:
[tex]28=4+4w+2w[/tex]
Combine like terms:
[tex]28=4+6w[/tex]
Subtract 4 from both sides:
[tex]6w=24[/tex]
Divide by 6:
[tex]w=4[/tex]
So, the width is 4.
And the length is 2 more than twice the width. Thus:
[tex]l=2+2(4)\\l=2+8=10[/tex]
The length is 10.
And we are done :)
cosA×cos2A+sinA×sin2A=cos (2A-A)
Answer:
csc
A
, as desired!
Step-by-step explanation:
cos
2
A
sin
A
+
sin
2
A
cos
A
,
=
cos
2
A
cos
A
+
sin
2
A
sin
A
sin
A
cos
A
,
=
cos
(
2
A
−
A
)
sin
A
cos
A
,
=
cos
A
sin
A
cos
A
,
=
1
sin
A
,
=
csc
A
, as desired!
Four more than the product of 19 and a number
4+(19x)
four plus 19 and a number
Answer:
19+4x
Step-by-step explanation:
We can write an expression:
19x+4x
"Four more": +4x
product of 19 and a number: 19x
The graph of f(x) is the solid black graph below. Which function represents the
dotted graph?
4
6
y = f(2 + 1) + 4
y = f(x - 1) - 4
Submit Answer
y=f(x - 1) + 4
y = f(x + 1) - 4
Using translation concepts, it is found that the dotted graph is given by:
f(x - 1) - 4
------------------
For function f(x), the solid line, it has a zero at x = -1, while the dashed line has a zero at x = 0, which means that it was moved 1 unit to the right, thus f(x - 1).The dashed line is also below the function f(x), so 4 was subtracted, thus f(x - 1) - 4.A similar problem is given at https://brainly.com/question/18405655
Explain or give your reasoning as to why x^0=1.
Answer:
Any number raised to the zeroth power is equal to 1.
Step-by-step explanation:
x^0=1 is a number raised to the zeroth power so it is automatically equal to 1.
what is the answer for this question and how do i solve it?
Answer:
[tex]\frac{7}{15}[/tex]
Step-by-step explanation:
Given
[tex]\frac{16-4(5)}{2(6)+8}[/tex] + [tex]\frac{2}{3}[/tex]
= [tex]\frac{16-20}{12+8}[/tex] + [tex]\frac{2}{3}[/tex]
= [tex]\frac{-4}{20}[/tex] + [tex]\frac{2}{3}[/tex]
= - [tex]\frac{1}{5}[/tex] + [tex]\frac{2}{3}[/tex]
We require the fractions to have a common denominator of 15
Multiply the numerator/ denominator of - [tex]\frac{1}{5}[/tex] by 3 and
Multiply the numerator/ denominator of [tex]\frac{2}{3}[/tex] by 5
= - [tex]\frac{3}{15}[/tex] + [tex]\frac{10}{15}[/tex]
= [tex]\frac{7}{15}[/tex]
Can someone please help me
This isn't an answer, rather a suggestion.
I would use the website desmos to help you out. But it won't help you forever like when you do quizzes or tests.
Directions:
Make the variable "y" all by itself. It need to be solo. For example for problem 34, negate 3 on each side and you will have "y=1/2(x+2)+3".
From there, plug in numbers into the x variable. (I suggest using common factors of "2" since the number your multiplying is 1/2.
Again using 34,
y=1/2(x+2)+3
y=1/2(2+2)+3
y=1/2(2+2)+3
y=1/2(4)+3
y=2+3
y=5
The coordinates are (2,5). Plot the coordinate.
Repeat the process.
Simplify 7√300
With work
Answer:
70 [tex]\sqrt{3}[/tex]
Step-by-step explanation:
300
6 50
| \ | \
2 3 5 10
| \
5 2
2×5=10
10×7=70
70[tex]\sqrt{3}[/tex]
Answer:
70√3
Step-by-step explanation:
7√300 =
7√100*3
7√10*10*3 (√100=√10²=10)
7*10√3
70√3
The coefficient of the term y is 0.
Answer:
no it is 1
Step by step instructions:
since there is no number for y it will be one
Point A is at (-6,8) and Point B is at (0,0.5) pint M is at the midpoint of point A and B
Answer:
Midpoint = (-3, 4.25)
Step-by-step explanation:
[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-6,\:8\right),\:\left(x_2,\:y_2\right)=\left(0,\:0.5\right)\\\\=\left(\frac{0-6}{2},\:\frac{0.5+8}{2}\right)\\\\= (\frac{-6}{2} , \frac{8.5}{2} )\\\\Simplify\\\\=\left(-3,\:4.25\right)[/tex]
A two digit number becomes 5/6 of the reversed number when the digits are interchanged the difference between the digits is 1 find the number.
Friends plz helpe plz plz plz
I want answer with full explanation
I will mark him as brainliest
Answer:
Original number = 54
Reversed number = 45
Step-by-step explanation:
Let the tens place digit be x and unit's place digit be y.
Therefore, required no. = 10x + y
Number obtained after interchanging the digits = 10y + x
According to the given condition:
[tex]10y+ x = \frac{5}{6} (10x + y) \\ 6(10y + x) = 5(10x + y) \\ 60y + 6x = 50x + 5y \\ 60y + 6x - 50x - 5y = 0 \\ 55y - 44x = 0 \\ 11(5y - 4x) = 0 \\ 5y - 4x = 0.....(1) \\ according \: to \: the \: second \: condition \\ x - y = 1 \\ x = y + 1....(2) \\ from \: equations \: (1) \: and \: (2) \\ 5y - 4(y + 1) = 0 \\ 5y - 4y - 4= 0\\ y - 4 = 0 \\ y = 4 \\ substituting \: y = 4 \: in \: equation \: (2) \\ x = 4 + 1 \\ x = 5 \\ \\ 10x + y = 10 \times 5 + 4 = 50 + 4 = 54 \\ 10y + x = 10 \times 4 + 5 = 40 + 5 = 45 \\ [/tex]
*em janeiro foram produzidos 818,4 litros de leite * em fevereiro 771,1 litros de leite *em março 815,2 litros de leite *em abril 784,5 litros de leite *em maio 803,4 litros de leite * em junho 742,9 litros de leite Agora responda: a)Quantos litros de leite foram produzidos EM MÉDIA, por mês? b)Quantos litros de leite, em média, foram produzidos diariamente no mês de janeiro?
Answer:
ifk
Step-by-step explanation:
tdf
There are four movies showing at the movie theatre. 2/3 of the people bought comedy, 1/4 bought tickets for horror movie, and 3/10 bought tickets for the kids movie what fraction represents the number of people who bought tickets for the action movie
Answer:
The fraction of people for 4th movie is 0.1167
Step-by-step explanation:
The number of people that bought a comedy movie ticket = 2/3
The number of people that bought the horror movie ticket = 1/4
The number of people that bought kids movie ticket = 3/10
Total number people for three movies = 2/3 + ¼ + 3/10 = 0.8833
The fraction of people for 4th movie = 1 – 0.8833 = 0.1167
Evaluate5− t/3 when t=12
Answer:
[tex]1[/tex]
Step-by-step explanation:
[tex]5 - \frac{t}{3} = \frac{5}{1} - \frac{12}{3} = 5 - 4 = 1[/tex]
or
[tex]5 - \frac{t}{3} = \frac{5}{1} - \frac{12}{3} = \frac{15 - 12}{3} = \frac{3}{3} = 1 [/tex]
Hope this helps ;) ❤❤❤
Hoses A and B spout water at different constant rates, and hose A can fill a certain pool in 6 hours. Hose A filled the pool alone for the first 2 hours and the two hoses, working together, then finished filling the pool in another 3 hours. How many hours would it have taken hose B, working alone, to fill the entire pool
Answer:
18 hours
Step-by-step explanation:
Let the volume of the pool be x. Since pipe A filled the pool in 6 hours, the rate of pipe A = x / 6.
Let the rate of pipe b be y, Hose A filled the pool alone for the first 2 hours, this means that the volume filled in the 2 hours is x/6(2 hours) and the two hoses, working together, then finished filling the pool in another 3 hours for the 3 hours the volume filled is x/6(3) + y(3). hence the total time is:
x/6(2) + x/6(3) + y(3) = x
x/3 + x/2 + 3y = x
Multiply through by 6:
2x + 3x + 18y = 6x
5x + 18y = 6x
18y = x
y = x/18
The rate of pipe B is x/18, this means it would take pipe B 18 hours to full the pool alone
-7 + 9(2d - 3w) use w = 5 and d = 2
Answer:
-106
Step-by-step explanation:
[tex] - 7 + 9(2d - 3w) \\ w = 5 \\ d = 2[/tex]
Substitute the given values for w and d into the equation.
[tex] - 7 + 9(2(2) - 3(5)) \\ [/tex]
Follow the PEDMAS order of operation
[tex] - 7 + 9(4 - 15) \\ - 7 + 9( - 11) \\ = - 7 + ( - 99) \\ = - 7 - 99 = - 106[/tex]
Jan is x years old, her sister is twice as old as her, and her brother is three times older than her. Their ages add up to 29. How old is each sister?
Jan's age = [tex] 4\frac{5}{6}[/tex] years
Sister's age =[tex] 9\frac{2}{3} \: years[/tex]
Step-by-step explanation:
Jan's age = x years
Sister's age = 2x years
Brother's age = 3x years
According to the given condition:
x + 2x + 3x = 29
6x = 29
x = 29/6
x = [tex] 4\frac{5}{6}[/tex] years
2x = [tex] 2\times \frac{29}{6}= \frac{29}{3}=9\frac{2}{3} \: years[/tex]
Therefore,
Jan's age = [tex] 4\frac{5}{6}[/tex] years
Sister's age =[tex] 9\frac{2}{3} \: years[/tex]
Which of these tables represents a linear function?
Plz Hurry
solve the following equation show your work 3{-x + (2x + 1)} = x - 1
Answer:
x = -2
Step-by-step explanation:
For this problem, we must simply solve for x. To do this, we will need equation operations, and the use of the distributive property.
Let's work this line by line until we have the value for x:
3{-x + (2x + 1)} = x - 1
3*-x + 3*(2x + 1) = x - 1
-3x + 6x + 3 = x - 1
3x + 3 = x - 1
2x = -4
x = -2
Now we can check our answer for x by plugging back into the original equation and see if the left hand side is equal to the right hand side:
3{-x + (2x + 1)} = x - 1
3{-(-2) + (2(-2) + 1)} ?= (-2) - 1
3{2 + (-4 + 1)} ?= -3
3{2 + (-3)} ?= -3
3{-1} ?= -3
-3 == -3
Thus, we have found the solution for x to be equivalent to negative 2.
Cheers.
Answer:
x = - 2Step-by-step explanation:
3{-x + (2x + 1)} = x - 1
First solve the terms in the bracket first
That's
3 (- x + 2x + 1 ) = x - 1
3( x + 1) = x - 1
Expand the terms in the bracket
We have
3x + 3 = x - 1
Simplify
3x - x = - 1 - 3
2x = - 4
Divide both sides by 2
We have the final answer as
x = - 2Hope this helps you
How do you solve this question: what is the difference between (2,5) and (2,0) without using a coordinate plan graph?
Answer: (2,5) is 5 units above (2, 0)
Step-by-step explanation: The first point has a 5 in the y-axis (up and down) while the second point is on the x-axis
[tex]( \frac{1}{2} {a}^{2} + \frac{1}{2} ab - {b}^{2} )[/tex]
Answer:
[tex]\frac{1}{2}[/tex] (a + 2b)(a - b)
Step-by-step explanation:
Assuming you require the expression to be factored
Given
[tex]\frac{1}{2}[/tex] a² + [tex]\frac{1}{2}[/tex] ab - b² ← factor out [tex]\frac{1}{2}[/tex] from each term
= [tex]\frac{1}{2}[/tex] (a² + ab - 2b²) ← factor the quadratic
Consider the factors of the coefficient of the b² term(- 2) which sum to give the coefficient of the ab- term (+ 1)
The factors are + 2 and - 1, since
2 × - 1 = - 2 and 2 - 1 = + 1, thus
a² + ab - 2b² = (a + 2b)(a - b) and
[tex]\frac{1}{2}[/tex] a² + [tex]\frac{1}{2}[/tex] ab - b² = [tex]\frac{1}{2}[/tex](a + 2b)(a - b)
you have already read 117 pages of a book you are one third of the way through the book write and solve an equation to find the number of pages in the book
Answer:
1/3=117......117x3=351
Step-by-step explanation:
/ is my fraction sign btw
the answer is 351!!
P;ease help me with this question, please get it right, i only have 1 chance for it, Volume of prism
Answer:
16.295
Step-by-step explanation:
5. Find the point X on CF that is of the distance from C to F. C is -4 F is 5 -7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 A) -2.2 B) 0.5 C) -1.8 D) -3
Correct Question: Find the point X on CF that is ⅕ of the distance from C to F.
*See attachment below for the numberline.
Answer:
A.) -2.2
Step-by-step explanation:
Given that C on the numberline = -4,
F on the numberline = 5
The distance from point C (-4) to point F (5) = |-4 - 5| = |-9| = 9
We are told that point X on CF, = ⅕ of the distance from point C to F. That is, X on the numberline is ⅕ of 9 = ⅕*9
⅕*9 = 9/5 = 1.8
This means, the coordinate of point X, from point C = coordinate of C + 1.8 = -4 + 1.8 = -2.2.
Therefore, the coordinate of X that is ⅕ of the distance from point C to F is -2.2.
Fives times the difference of
a number and 3 is 25
Answer:
24
Step-by-step explanation:
multiples for 3=3,6,9,12,15,18,21,24
Multiples for 8=8,16,24
The first one that matches for both is 24
Answer: 8
Step-by-step explanation:
if n represents the number:
5(n - 3) = 25
(distribute)
5n - 15 = 25
(add 15 to both sides)
5n = 40
(divide both sides by 5 to isolate "n")
n = 8
what is 1/8(3d-12)=1/4(d+5)
Answer:
d=22
Step-by-step explanation:
Point Tis on line segment SU. Given ST = 9 and TU
SU.
= 7, determine the length
Answer:
Line SU is 16
Step-by-step explanation:
ST + TU = SU
7 + 9 = 16
You add 9 and 7 to get 16.
Si la medida de un ángulo exterior es el cúadruple de la medida de un ángulo interior de un polígono regular, encuentra la suma de dichas medidas.
Answer:
dos palabras viva el tequila
Step-by-step explanation:
atu vieja se lo voy a meter xd xd xd xd xd xd xd xd xd xd xd xd
Which of the following number(s) are rational? Select all that apply.
2.323232...
2.32222...
2.323148...
-2.3
-2.3
Answer:
2.323232…
2.32222…
-2.3
Negative 2.ModifyingAbove 3 with bar
Step-by-step explanation:
-2.3 is the rational number among the given options.
What is Number system?A number system is defined as a system of writing to express numbers.
Rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.
Any decimal number can be either a rational number or an irrational number, depending upon the number of digits and repetition of the digits.
Any decimal number whose terms are terminating or non-terminating but repeating then it is a rational number
In the given decimal numbers 2.323232..., 2.32222... 2.323148... and -2.3.
The first three decimal numbers are irrational because it is not terminating and -2.3 is rational.
Hence, -2.3 is the rational number among the given options.
To learn more on Number system click:
https://brainly.com/question/22046046
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A work shift for an employee at a restaurant consists of 8 hours. What fraction of the employee's work shift is represented by 6 hours? (Simplify your answer.)
Answer:
6 hours represents [tex]\frac{3}{4}[/tex] of the 8-h work shift.
Step-by-step explanation:
The fraction of the employee's work shift is equal to the given time divided by the work shift. That is:
[tex]x = \frac{6\,h}{8\,h}[/tex]
[tex]x = \frac{6}{8}[/tex]
[tex]x = \frac{3}{4}[/tex]
6 hours represents [tex]\frac{3}{4}[/tex] of the 8-h work shift.
What’s the output of f(x)=-3/2x+2
Answer:
Step-by-step explanation: