The total weight of the envelop after n paper clips have been added is w(n) = 0.5n + 6.75
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let w(n) represent the total weight of the envelop with n paper clips. A paper clip weighs 0.5 grams and an empty envelope weighs 6.75 grams. Hence:
w(n) = 0.5n + 6.75
The total weight of the envelop after n paper clips have been added is w(n) = 0.5n + 6.75
Find out more on equation at: https://brainly.com/question/13763238
#SPJ1
Which is the better deal? 16 oz of jelly for $3.30 or 48 oz of jelly for $8.64
Answer: The 48 0z of jelly for 8.64
Step-by-step explanation: because 16 oz of jelly is 3.30 and if you double it, it is $9.9
Answer:
48 Oz of jelly for $8.64
Step-by-step explanation:
16oz of jelly is $3.30 x 3 =$9.90
What are the vertex and x-intercepts of the graph of y = x2 – 4x – 21? Select one answer for the vertex and one for the x-intercepts. A. x-intercepts: (–3, 0), (7, 0) B. x-intercepts: (3, 0), (7, 0) C. x-intercepts: (3, 0), (–7, 0) D. Vertex: (2, 13) E. Vertex: (2, –25) F. Vertex: (–2, –9)
Answer:
To find x-intercept ,let y=0
0=x²-4x-21
(x+3)(x-7)=0
x=-3 or x=7
(-3;0) or (7;0)
To find vertex
x=
[tex] \frac{ - b}{2a} = x[/tex]
x=4/2=2
y=(2)²-4(2)-21=-25
(2;-25)
choose A and E
9 divided by 836 step by step
Answer: 92 [tex]\frac{8}{9}[/tex]
Step-by-step explanation:
836/9=
(800+36)/9=
800/9 + 36/9=
800/9 + 4 =
(792+8)/9 + 4=
792/9 + 8/9 + 4=
88 + 8/9 + 4=
88+4+8/9=92 [tex]\frac{8}{9}[/tex]
What is (-2/3)+(7/8)?
Answer: 5/24
Step-by-step explanation:
(-2/3)+(7/8)=
(-2/3)+(7/8)*24/24= ==> 24 is the LCM of 3 and 8
[tex]\frac{(-2*24)/3+(7*24)/8}{24}[/tex]=
[tex]\frac{-2*24/3+7*24/8}{24}[/tex]=
[tex]\frac{-2*8+7*3}{24}[/tex]=
[tex]\frac{-16+21}{24}[/tex]=5/24
I need help for the Wednesday one
Answer:
Seth is correct.
Step-by-step explanation:
Complementary means that they add to 90 degrees. Supplemental means that they add to 180. 147 + 33 equals 180 so they are supplemental.
Can someone please find x ?
[tex]\frac{4}{3} x- \frac{1}{3} = x + 7[/tex]
the value of x in the question is 22
How to determine the value of x?The equation is given as
4/3x - 1/3 = x + 7
Multiply through by 3
4x - 1 = 3x + 21
Collect the like terms
4x - 3x = 1 + 21
Evaluate
x = 22
Hence. the value of x in the question is 22
Read more about expressions at:
https://brainly.com/question/723406
#SPJ1
8. Gavin goes to the market and buys one rectangle shaped board. The
length of the board is 16 cm and width of board is 10 cm. If he wants to add
a 2 cm wooden border around the board, what will be the area of the
rectangle board?
160 cm² is the area of the rectangle.
What do we mean by rectangles?A rectangle is a closed two-dimensional shape with four sides, four corners, and four right angles (90°). A rectangle's opposite sides are equal and parallel. Because a rectangle is a 2-D shape, it has two dimensions: length and width. The word rectangle is derived from the Latin word rectus, which means "right" or "straight." A rectangle has straight sides due to its right angles.Rectitude, which means moral uprightness, is another word with the same root.The formula for the area of a rectangle:
l × bPut values in the formula:
= 16 × 10= 160 cm²Therefore, the area of a rectangle is 160 cm².
Know more about the area of rectangles here:
https://brainly.com/question/25292087
#SPJ9
Taylor took out a 1,500$ discounted loan calculated using a simple interest rate of 2.5% for a period of 4 years. How much money does Taylor receive initially?
The initial amount that Taylor receive initially is $1500.
How to calculate the value?Based on the information given, the following can be illustrated:
Interest = 1500
Time = 4 years
Rate = 2.5%
Principal = Unknown
Interest = PRT/100
1500 = (P × 4 × 2.5)/100
150000 = 10P
Divide
P = 150000/100
P = 1500
The initial amount is $1500.
Learn more about loan on:
brainly.com/question/26011426
#SPJ1
Find the sum of (4.9 × 10^−9) and (7.4 × 10^−10). Write the final answer in scientific notation.
5.64 × 10^−9
5.64 × 10^−10
1.23 × 10^−18
12.3 × 10^−19
Taking into account the scientific notation, the result of the sum is 5.64×10⁻⁹.
Scientific notationScientific notation is a quick way to represent a number using powers of base ten.
The numbers are written as a product:
a×10ⁿ
where:
a is a real number greater than or equal to 1 and less than 10, to which a decimal point is added after the first digit if it is a non-integer number.n is an integer, which is called an exponent or an order of magnitude. Represents the number of times the comma is shifted. It is always an integer, positive if it is shifted to the left, negative if it is shifted to the right.Sum in scientific notationTo add two numbers in scientific notation, when the numbers to be added do not have the same base 10 exponent, the base 10 power with the highest exponent must be found. In this case, the highest exponent is -9.
Then all the values are expressed as a function of the base 10 exponent with the highest exponent. In this case: 7.4×10⁻¹⁰= 0.74×10⁻⁹
Taking the quantities to the same exponent, all you have to do is add what was previously called the number "a". In this case:
4.9×10⁻⁹ + 0.74×10⁻⁹= (4.9 + 0.74)×10⁻⁹= 5.64×10⁻⁹
Finally, the result of the sum is 5.64×10⁻⁹.
Learn more sum in scientific notation:
brainly.com/question/11403716
brainly.com/question/853571
#SPJ1
Mark won 83 lollipops playing hoops at
the county fair. At school he gave three to
every student in his math class. He only
has 8 remaining. How many students are
in his class?
Answer: 25 students
Step-by-step explanation:
Answer:
25 students
Step-by-step explanation:
83 lollipops - the 8 remaining lollipops = 75 lollipops
75 lollipops ÷ 3 ( the amount he gave to each student) = 25
3 lollipops per person
3 * 25 people = 75 + 8 (remaining)
What is the ones digit in the number 2^2076Hint: Start with smaller exponents to find a pattern.
Answer
Answer:
Step-by-step explanation: i think 9 the 9 is in one digits
Identify the simplest polynomial function that has the given zeros
-2,4,5
P(x) = x³ - 7x² + 2x + 40
P(x) = x³ + 7x² - 2x - 40
P(x) = x³ - 7x² + 2x - 40
P(x) =x^3+7x² - 2x + 40
Answer:
is correct
x^3 -7x^2+2x +40
multiply the constants of the factors (each factor has opposite sign of the zero)
(x+2)(x-4)(x-5) 2(-4)(-5) = 40, that eliminates all but c) and d)
(x+2)(x-4)(x-5) = (x^2-2x-8)(x-5) by using FOIL on the 1st two factors
then (-8)(-5) = +40, eliminating a) and b), leaving only c) and d)
-5 times -2x = 10x, x times -8 = -8x. 10x-8x = 2x which c) has but d) doesn't.
Step-by-step explanation:
can someone answer this please
Complete the statement.
x(y + 5) = x(__) + x(__)
Answer:
x(y + 5) = x(y) + x(5)
Step-by-step explanation:
Multiply the x to the variable and number in the parenthesis.
Can also be written xy + x5.
7.8 x 10 3
--------------
1.2 x 10 4
Step-by-step explanation:
7.8 ×1000=7800.
1.2×10000=12000.
7800÷12000=0.65.
what are the missing lengths for the triangle 45 45 5v2
3.5355339 cm are the missing lengths for the right triangle.
What is right triangle ?
A right triangle is one that has an interior angle of 90 degrees. The hypotenuse, which is also the side of the right triangle that faces the right angle, is its longest side. The height and base make up the two arms of the right angle.In a 45-45-90 right triangle the hypotenuse is always equal to the measure of one of the legs times √2 call "n" the measure of one of the legs
n√2=5
n=5/√2
multiply both terms by √2
n=5√2/2, or...
n=2.5(1.4142136)
n=3.5355339 cm (round as needed)
Learn more about right triangle
brainly.com/question/4364353
#SPJ9
The complete question is -
The length of the hypotenuse of a 45-45-90 triangle is 5 cm what is the length of each leg.
Michael has $96 in savings and makes $12.00 an hour at his job. Greg has $128 in savings and makes $10.00 an hour his job. They both save all their earned money. How many hours they both have to work to have the same amount of money saved?
The computation shows that the hours that they both have to work to have the same amount of money saved is 16 hours.
How to calculate the function?Based on the information given, let the number of hours be represented by h
Therefore, the first function for Michael will be:
96 + 12h
The second function for Greg will be:
= 128 + 10h
Therefore, we'll equate both equations. This will be:
96 + 12h = 128 + 10h
12h - 10h = 128 - 96.
2h = 32.
h = 32/2
h = 16 hours.
Learn more about computations on:
brainly.com/question/4658834
#SPJ1
On her way to her grandmothers house. Jackie traveled three times as many miles by train as by bus. She traveled four times as many miles by foot. If Jackie traveled 34 miles an hour how many miles did she travel by train?
Answer:
the answer is 136 miles
determine a series of transformations that would map polygon abcd onto polygon a'b'c'd
Answer: a reflection across the y-axis and scaling it by a factor of 1/2
Step-by-step explanation: First, you need to reflect the shape over the y-axis to move it into the neighboring quadrant. After that, you scale the polygon down by a factor of 1/2, because the lengths of the line segments of A'B'C'D' are half the length of the original polygon, ABCD.
Find the sum of 0.55 and 0.41 i need help
Idrk what to name this but- just only answer if you are sure
Answer:
Put it on calculator
Step-by-step explanation:
Or multiple 7x10. And 10x10 to make the percentage from 100 it will be 70
If you don't understand don't be shy to ask you should learn from your mistakes
Answer:
C. 70%
Convert 7/10 into a decimal, 0.7, and then convert into a percentage, 70%. :)
1/(x+1) = -1/ x-1
true or false
Answer:
False
Step-by-step explanation:
it would be positive, not negative.
B is between A and C. If
AB=x+4 , BC=2x−2 , and AC=4x−1 , what is AB?
AB= (geometry someone help)
If B is between A and C and AB= x+4,BC= 2x-2 and AC= 4x-1, then the length of the AB is 3 units
The point B is between A and C
AB = x+4
BC = 2x-2
AC = 4x-1
We know,
AC = AB + BC
Substitute the value in the equation and find the value of x
4x-1 = x+4 + 2x-2
4x-1 = 3x-2
4x-3x = -2+1
x = -1
Then,
AB= x+4
Substitute the value of x in the equation
AB = -1+4
AB = 3 units
Hence, If B is between A and C and AB= x+4,BC= 2x-2 and AC= 4x-1, then the length of the AB is 3 units
Learn more about length here
brainly.com/question/17281779
#SPJ1
Help!! Find the domain of the graphed function.
3) A closed rectangular box with volume 12 cubic feet is such that the length of its base is twice
the width. Express the surface area of the box as a function of the width.
Point Breakdown
1) 8 points (4/4)
2) 6 points
3) 6 points
A closed rectangular box with volume 12 cubic feet is such that the length of its base is twice the width.The surface area of the box as a function of the width is (4b³ +36)/b.
volume 12 cubic feet
volume =(l)(b)(h)=12
l=2b
(2b)(b)(h)=12
h=6/b²
Surface area = 2 (lb + bh + lh)
= 2((2b)(b) + b(6/b²) + 2b(6/b²))
=4b² + 12/b + 24/b
= (4b³ +36)/b
A three-dimensional object's surface area is the sum of all of its faces. Real-world applications of the notion of surface areas include wrapping, painting, and finally constructing things to get the greatest potential design.
An object's surface area is the total area that all of its surfaces occupy. The formulae we will learn in this post make it simple to determine the various surface areas that various 3D forms in geometry have. There are two groups for the surface area:
The surface area that is laterally oriented or curved
Surface area overall
To learn more about surface area visit , https://brainly.com/question/2835293
#SPJ9
prove that the set of all xy=0 in R^n is not an open set
the set of all x y = 0 in R is not an open set.
x y = 0 in R is possible if
either x= 0y =0x = y = 0So, the contains (0,0) , (0, any real number) ,...…..,
(any real number, 0) ,...…..
So, the set is not an open set.
Hence proved.
Therefore, the set of all x y = 0 in R is not an open set.
"Learn more about open set here - https://brainly.com/question/18567569 "
#SPJ9
Rieko has 10 pounds of nails. She divides the nails equally among 3 bags. How many pounds of nails does Rieko place in each bag?
A division is a process of splitting a specific amount into equal parts. The number of pounds Rieko place in each bag is 3.33 pounds.
What is division?A division is a process of splitting a specific amount into equal parts.
We have,
Rieka has 10 pounds of nails and wants to divide it equally among 3 bags.
We need to divide the 10 pounds by 3.
The number of pounds in each bag:
= 10 pounds / 3
= 3.33 pounds
Thus the number of pounds in each bag is 3.33 pounds.
Learn more about division here:
https://brainly.com/question/787314
#SPJ1
can u guys please help me with is problem!! (ᗒᗩᗕ|||)
Answer: 4 miles per hour
Explanation: Put in the calculator 1/7 divided by 1/28 and then you get 4. Also can I get the brainliest pls?
I need help with cumulative frequency pleaseee!!
The cumulative frequency for a given range is the sum of all the relative frequencies that belong to that range.
The CFs for the given grade ranges are
• ≤ 49 :
9/67
• ≤ 59 :
9/67 + 10/67 = 19/67
• ≤ 69 :
9/67 + 10/67 + 10/67 = 29/67
• ≤ 79 :
9/67 + 10/67 + 10/67 + 14/67 = 43/67
• ≤ 89 :
9/67 + 10/67 + 14/67 + 14/67 + 15/67 = 58/67
• ≤ 100 :
9/67 + 10/67 + 10/67 + 14/67 + 15/67 + 9/67 = 67/67 = 1
At Gabby's family reunion, Gabby hands out watermelon for the annual seed-spitting contest
She gives a watermelon slice to each kid at the reunion. She also gives a slice to 25 adults.
Gabby hands out 55 watermelon slices in all.
Which equation can you use to find how many kids k are at the reunion?
k - 25 = 55
k
25
= 55
k + 25 = 55
25k = 55
Solve this equation for k to find how many kids are at the reunion.
The equation which can be used to find how many kids k are at the reunion is :k + 25 = 55
There are 30 kids at the reunion
What is algebraic expression?
Algebraic expressions are based on expressing numbers using letters without indicating their actual values, such that we can determine the unknown variables by solving the expression or equation.
The total number of watermelons in this case is 55, if 25 slices are handed to the adults in the reunion gathering, the remaining one is the difference between 55 and 25 already served, which is known as k in this case.
total number of watermelons=55
number of adults=25
number of kids given watermelon=k
i.e k+25=55
k=55-25
k=30
Find out more algebraic expressions on:brainly.com/question/14662537?
#SPJ1