Answer:
(b) 22 in
Step-by-step explanation:
You want the perimeter of a rectangle with side lengths 4 inches and 7 inches.
PerimeterThe perimeter of a rectangle is the sum of the lengths of its sides. Your rectangle has two sides that are 4 inches, and two sides that are 7 inches. The perimeter is the sum of these lengths:
P = 4 in + 4 in + 7 in + 7 in
P = 22 in
The perimeter of the rectangle is 22 inches.
__
Additional comment
We can save a math operation by recognizing the sum can be arranged to ...
P = (4 in +7 in) +(4 in +7 in) = 2(4 in +7 in)
This is evaluated using one sum and one product, rather than the three sums we need if we simply add the lengths of the four sides.
This is why the usual formula for the perimeter of a rectangle is ...
P = 2(L +W)
Ann is 4 years older than Julie. 4 years ago Ann was twice as old as Julie. Find their present ages.
Answer: Julie is 8 years old. Ann is 12 years old.
Step-by-step explanation:
A=Ann's age. J=Julie's age
A=J+4
A-4=(J-4)*2
A-4=2(J-4)
A=2(J-4)+4
2(J-4)+4=J+4
2J-8+4=J+4
2J-4=J+4
2J=J+8
J=8
A=J+4
A=8+4
A=12
Julie is 8 years old. Ann is 12 years old.
Julie's present age (x) is 8 years old, and Ann's present age (x + 4) is 12 years old. Julie is 8 years old and Ann is 12 years old.
Let's denote Julie's age as x.
Since Ann is 4 years older than Julie, her age can be represented as x + 4.
Four years ago, Julie's age was x - 4 and Ann's age was (x + 4) - 4 = x.
Since Ann was twice as old as Julie, we can write the equation
: x = 2(x - 4).
Simplifying the equation, we get: x = 2x - 8.
Rearranging the terms, we find: x - 2x = -8.
Combining like terms, we have: -x = -8.
Finally, solving for x, we get: x = 8.
Therefore, Julie's present age (x) is 8 years old, and Ann's present age (x + 4) is 12 years old.
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Stefan drove to work in rush hour traffic, going just 25 miles in 1 hour and 8 minutes. Later that day, he left work early to avoid the rush and was able to take the same route home in 32 minutes. What was Stefan's average speed overall?
The average speed of stefan is 0.57 miles per hour.
Given, In heavy traffic, Stefan covered just 25 miles in 1 hour and 8 minutes on his way to work.
He left work early to beat the rush hour and made it home in 32 minutes using the same route.
speed of steven in heavy traffic = distance/ time
distance = 25 miles
time = 1 hour and 8 minutes = 68 minutes
therefore, speed = 25/68 = 0.36 miles per hour.
speed of steven while returning back to home.
distance = 25 miles
time = 32 minutes.
speed = 25/32 = 0.78 miles per hour.
average speed = 0.36 ₊ 0.78/2
= 1.14/2
= 0.57 miles per hour.
hence we get the average speed as 0.57 miles.
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identify the set or sets of numbers that belong to -8/5
The number of the sets is the {1, 2/5,4/5,8/5}.
According to the statement
We have to find that the sets of numbers.
So, For this purpose, we know that the
A set of numbers is a collection of numbers, called elements. The set can be either a finite collection or an infinite collection of numbers.
From the given information:
The set or sets of numbers that belong to -8/5.
For make a set of the numbers we have to find the those number which are the divisible on the number -8/5.
Then
Let the number 1, 2/5,4/5,8/5.
And these are the numbers which are the divisible on the -8/5 and give some perfect value like 1, 2 etc.
The set of the numbers = {1, 2/5,4/5,8/5}
So, The number of the sets is the {1, 2/5,4/5,8/5}.
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help solve please x^3-2x^2-2=0
Answer:
x=2.35930...
i hope this is the answer
What is 3.81704*10^5?
Answer: 381704, because math
Which of the following represents the sum of the polynomials below?
(6x³ +2ײ +9x)+(-2x³ +5x² +3x)
OA. 4x³ +7x² +12x
OB. 4x³ +7x² +12
OC. 8x³ +7x² +12x
OD. 4x³ +7x² +6x
Answer:
A
Step-by-step explanation:
First, you have to align the like terms next to each other so that it will be easier to combine like terms. (Like terms have the same variables and powers)
[tex]6x^3+(-2x^3)+2x^2+5x^2+9x+3x[/tex]
Combine like terms:
(When combining like terms all you have to do is add/subtract the coefficients, number in front of variables, and leave the variable and exponents)
[tex]6x^3+(-2x^3)= > 6x^3-2x^3=4x^3[/tex]
[tex]2x^2+5x^2=7x^2[/tex]
[tex]9x+3x=12x[/tex]
So, we get [tex]4x^3+7x^2+12x[/tex]
which expression can be used to solve the equation 2x-1=x+2
The expression can be used to solve the equation 2x - 1 = x + 2 is 3 which is option (B) .
A formula is a statement containing at least two numbers/variables and at least one mathematical operation. An expression is a combination of terms combined by mathematical operations such as subtraction, addition, multiplication, and division.The terms involved in an expression in math are:Constant: A constant is a fixed numerical value.Variable: A variable is a symbol that doesn't have a fixed value.Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.Coefficient: A coefficient is a number that is multiplied by a variable in an expression.We have given an expression [tex]2x-1=x+2[/tex] .
On solving , we get
[tex]2x-x=2+1\\x=3[/tex]
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The complete question is mention below :
Which expression can be used to solve the equation 2x-1=x+2 ?
A. 1
B.3
C.5
D.4
The reciprocal of x is 0.25. The reciprocal of y is 10.
Work out the value of xy.
The book says the answer is 5/6 but I can’t get the same answer. Please help.
Answer:
XY=2/5
Step-by-step explanation:
Given the reciprocal of x is 0.25, that is then
x = 1/ 1/4 = 4
Given the reciprocal of y is 10 then
y = 1/10
xy = 4 ×1/10 =4/10 = 2/5
Factor completely
2x^5-7x^5/2+6
after simplifying yhe expression 2 x ⁵ - 7 x ⁵ / 2 + 6, we get the result as - 3 / 2 ( x⁵ - 4).
We are given the expression :
2 x ⁵ - 7 x ⁵ / 2 + 6
We need to factorize the expression completely.
Taking LCM, we get that,
4 x⁵ - 7 x⁵ + 12 / 2
combining the like terms, we get that,
- 3 x ⁵ + 12 / 2
taking - 3 common from the expression, we get that
- 3 / 2 ( x⁵ - 4)
Therefore, after simplifying yhe expression 2 x ⁵ - 7 x ⁵ / 2 + 6, we get the result as - 3 / 2 ( x⁵ - 4).
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What is 8 x 1 plus 5 x 1/1000 plus 9 x 1/1000
The value of the expression 8 × 1 plus 5 × 1/1000 plus 9 × 1/1000 is 8.014.
Consider the expression,
8 × 1 plus 5 × 1/1000 plus 9 × 1/1000
Now,
8 × 1 = 8 and;
5 × 1/1000 = 5/1000
and;
9 × 1/1000 = 9/1000
Now,
8 × 1 + 5 × 1/1000 + 9 × 1/1000 = 8 + 5/1000 + 9/1000
8 × 1 + 5 × 1/1000 + 9 × 1/1000 = 8 + [ ( 9 + 5 ) / 1000 ]
8 × 1 + 5 × 1/1000 + 9 × 1/1000 = 8 + 14 / 1000
8 × 1 + 5 × 1/1000 + 9 × 1/1000 = ( 8 / 1 ) + ( 14 / 1000 )
Now, LCM of 1 and 1000 is 1000.
8 × 1 + 5 × 1/1000 + 9 × 1/1000 = 8 × ( 1000/1000) + 14/1000
8 × 1 + 5 × 1/1000 + 9 × 1/1000 = 8000/1000 + 14/1000
8 × 1 + 5 × 1/1000 + 9 × 1/1000 = ( 8000 + 14 ) / 1000
8 × 1 + 5 × 1/1000 + 9 × 1/1000 = 8014/1000
8 × 1 + 5 × 1/1000 + 9 × 1/1000 = 8.014
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Somone help me on this free 20 poins
Answer:
T = 3.67 years
Step-by-step explanation:
Which of the following equations represents a line that passes through the points (5,3) and (-5,-1). Both, neither, 1, or 2.
1. y+1=2/5(x+5)
2. y=-2/5x+1
PLS ANSWER
Answer:
Both
Step-by-step explanation:
(5, 3) and (-5, -1)
To get the equation of two points(coordinate)
(y₂ - y₁)/(x₂ - x₁) = (y - y₁)/(x - x₁)
(5, 3) --- (x₁, y₁)
(-5, - 1) --- (x₂, y₂)
(- 1 - 3)/(- 5 - 5) = (y - 3)/(x - 5)
-4/-10 = (y - 3)/(x - 5)
4/10 = (y - 3)/(x - 5)
⅖ = (y - 3)/(x - 5)
5(y - 3) = 2(x - 5)
5y - 15 = 2x - 10
5y = 2x - 10 + 15
5y = 2x + 5
Divide through by 5
5y/5 = 2x/5 + 5/5
y = ⅖x + 1
Option 2 is correct
let's see if option 1 is correct
y = ⅖x + 1
add 1 to both sides.
y + 1 = ⅖x + 1 + 1
y + 1 = ⅖x + 2
y + 1 = ⅖(x + 5)
So, option 1 is also correct
Answer:
Both
Step-by-step explanation:
(5, 3) and (-5, -1)
To get the equation of two points(coordinate)
(y₂ - y₁)/(x₂ - x₁) = (y - y₁)/(x - x₁)
(5, 3) --- (x₁, y₁)
(-5, - 1) --- (x₂, y₂)
(- 1 - 3)/(- 5 - 5) = (y - 3)/(x - 5)
-4/-10 = (y - 3)/(x - 5)
4/10 = (y - 3)/(x - 5)
⅖ = (y - 3)/(x - 5)
5(y - 3) = 2(x - 5)
5y - 15 = 2x - 10
5y = 2x - 10 + 15
5y = 2x + 5
Divide through by 5
5y/5 = 2x/5 + 5/5
y = ⅖x + 1
Option 2 is correct
let's see if option 1 is correct
y = ⅖x + 1
add 1 to both sides.
y + 1 = ⅖x + 1 + 1
y + 1 = ⅖x + 2
y + 1 = ⅖(x + 5)
So, option 1 is also correct
-4 66/100 greater or less than -4 3/4
After the conclusion we can conclude that the fraction [tex]-4\frac{66}{100} < -4\frac{3}{4}[/tex].
What are fractions?A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction describes the number of parts of a specific size, such as one-half, eight-fifths, or three-quarters.First, we need to make both denominators the same in order to find which fraction is greater and less than.
So,
[tex]-4\frac{66}{100} , -4\frac{3}{4} \\[/tex](-400+66)/100, (-16+3)/4-334/100, -13/4(-334×4)/(100×4), (-13×100)/(4×100)-1336/400, -1300/400Hence, -1336/400 < -1300/400
So, we can conclude that: [tex]-4\frac{66}{100} < -4\frac{3}{4}[/tex]Therefore, the fraction [tex]-4\frac{66}{100} < -4\frac{3}{4}[/tex].
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What is 10 x4 ten thousand
Answer:
400,000
Step-by-step explanation:
➟ 10 × 4 ten thousand
Since, a ten thousand = 10,000 therefore 4 ten thousand = 40,000
➟ 10 × 40,000
➟ 400,000
Find the 9th term of the arithmetic sequence with 9=10 and d= - ½
The 9th term of this arithmetic sequence is 6.
In an Arithmetic Progression (AP), the nth term is given by the formula-
a9 = a + (n-1)d
where a = first term of the AP
d = common difference
Here, we are given that a= 10 and d = - ½
Let the 9th term of the AP be a9
Therefore, according to the formula for finding the nth term of an AP, we get-
a9 = a + (9-1)d
a9 = a + 8d
Substituting the values of a and d given in the question-
a9 = 10 + 8(-1/2)
a9 = 10 - 4
a9 = 6
Thus, the 9th term of the arithmetic sequence is 6.
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15(2x + 3) = 85 + 10x
Answer:
x = 2
Step-by-step explanation:
Hello!
Solve for x by isolating the variable.
Solve for x15(2x + 3) = 85 + 10x30x + 45 = 85 + 10x 20x + 45 = 8520x = 40x = 2The value of x is 2.
Compare and order the following numbers:
√11, 2 1/4, -2.5, 3.6 repeating, -3.97621...
The correct decreasing order of the given numbers is : 3.32 > 2.25 > -2.25 > -3.98
What is Descending Order ?
Descending order is a way to arrange numbers from largest to smallest. When we arrange things in order, from a higher value to a lower value, it is known as the descending order or the decreasing order.
√11 = 3.316 = 3.32 (rounding off to two decimal places)
2 1/4 = 9/4 = 2.25 (by solving mix fraction)
-2.25 (negative number is written in negative x- axis)
-3.97621 = -3.98 (negative number is written in negative x- axis)
arranging the numbers in descending order
3.32 > 2.25 > -2.25 > -3.98
therefore, the highest number is 3.32 and the lowest number is -3.98
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Answer choices are:
K
P
J
M
Only pick one answer
Is this right please tell me
estimate the cube root of 1100
Answer:
Step-by-step explanation:
∛1100
Answer:
10.324
Step-by-step explanation:
I doesn't have a perfect cube root
Does anyone know this answer??
35 POINTS Rebecca has 3 paintings to sell. The amount of money Rebecca makes from selling x paintings is represented by a function.
f(x)=25x
What is the domain of the function?
all real numbers
{25, 50, 75}
{0, 25, 50, 75}
{0, 1, 2, 3}
Answer:
First one because she will not buy it for free so 0 isn't in the domain
Answer:
all real numbers I believe
..・ヾ(。＞＜)シ
Multiple Choice Carlos read a book for language arts class.
He finished the book on Friday. On Monday he read 27 pages.
On Tuesday he read 31 pages. On Wednesday he read 28 pages.
On Thursday and Friday he read the same number of pages each day.
The book has 144 pages. How many pages did he read on Thursday?
A. 28
B. 29
C. 31
D. 58
Carlos read 29 pages on Thursday.
What are equations?In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign.So Let, the pages read by Carlos on Thursday and Friday be x as on Thursday and Friday he read the same number of pages.
The equations will be: 27 + 31 + 28 + x + x = 144Now, solve the equation fr x as follows:
27 + 31 + 28 + x + x = 14486 + 2x = 1442x = 144 - 862x = 58x = 58/2x = 29So, Carlos read 29 pages on Thursday and Friday.
Therefore, Carlos read 29 pages on Thursday.
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chemical property is__________. a. a property that does not change the chemical composition of the matter. b. a characteristic of matter that indicates whether or not the piece of matter can undergo specific changes c. a property that changes with the physical location of the matter sample, d. a characteristic of matter that can be measured without changing the identity of the material
Answer:
Physical Property
Step-by-step explanation:
Physical Property. A physical property is a characteristic of a substance that can be observed or measured without changing the identity of the substance. Silver is a shiny metal that conducts electricity very well.
5x6+12 order of operations
Answer: 5x6+12=42
Step-by-step explanation: Hope This Helps!!
18. C(−8, −6) and D(−4, 10)
Answer:
I'm assuming you want to find the slope.
If so, the answer is: m = 4
Hope this helps! <3
12/7 divided by 3/2 =
A. 18/7
B. 7/8
C. 7/18
D. 8/7
Answer:
Step-by-step explanation:
D
Two negative consecutive integers have a sum of -45. What are the two integers?
Answer:
-23+-22=-45
Step-by-step explanation:
In this type of question if he wants the consequtive divided number over 2 and choose the result number and pervious or next one it is depend on the questions
Answer:
The two integers will be/ are - 23 and - 24
The sum of the angle measures of a quadrilateral is 360°. In Exercises 7 and 8,
write and solve an equation to find the value of x. Use a protractor to check the
of your answer.
reasonableness
7.
110°
90⁰
to
80⁰
The value of the angle of the quadrilateral is 80° .
A quadrilateral in geometry is represented as a four-sided polygon with four corners (vertices) and four sides .
The Latin words quadri, a variation of four, and latus, meaning "side," are the source of the name. In reference to other polygons, it is also known as a tetragon, from the Greek "tetra" for "four" and "gon" for "corner" or "angle" (e.g. pentagon). Since "gon" is an anagram for "angle," it is also known as a quadrangle or 4-angle.There are two types of quadrilaterals: simple (not self-intersecting) and complex (self-intersecting, or crossed). Convex or concave quadrilaterals are simple quadrilaterals.The sum of all the angle measures of a quadrilateral is 360°Given angles of the quadrilateral are 110° ,90⁰ and 80⁰.
Now let us consider the fourth angle be x.
∴110°+ 90⁰ + 80⁰ + x = 360°
or, x = 360° - (280°)
or, x = 80°.
The missing angle of the quadrilateral is 80°
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i need help with these 2 questions {^_^]