Answer: the thickness of each sheet of paper is 2in thick.
Step-by-step explanation:
There is none.
If box contains 5 reams of paper, the estimated thickness of 2 sheets of paper is T/1250.
To estimate the thickness of 2 sheets of paper, we can use the given information about the number of reams in the box and the number of sheets in one ream of paper.
First, we know that one ream of paper contains 500 sheets. Since the box contains 5 reams, the total number of sheets in the box is 5 reams × 500 sheets/ream = 2500 sheets.
Next, we can calculate the thickness of one sheet by dividing the total thickness of the reams by the number of sheets. Let's assume the thickness of the 5 reams combined is T.
Thickness of one sheet = T/2500
Now, to estimate the thickness of 2 sheets, we multiply the thickness of one sheet by 2:
Estimated thickness of 2 sheets = (T/2500) × 2 = 2T/2500 = T/1250
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Find the sum horizontally.
(ab²+26²)+(-6cab² +26²)=
we get the sum of (a b² + 26² ) + ( - 6 c a b² + 26² ) as a b² ( 1 - 6 c) + 1352.
We are given the expression:
(a b² + 26² ) + ( - 6 c a b² + 26² )
We need to find its sum.
a b² + 26² - 6 c a b² + 26²
a b² - 6 c a b² + 26² + 26²
a b² - 6 c a b² + 676 + 676
a b² - 6 c a b² + 1352
a b² ( 1 - 6 c) + 1352.
Therefore, we get the sum of (a b² + 26² ) + ( - 6 c a b² + 26² ) as a b² ( 1 - 6 c) + 1352.
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Which of the following could be a real-world description of 5x − 18?
$18 in addition to the cost of 5 hot dog combos
The cost of 18 people splitting 5 hot dog combos
The cost of hot dog combos less an $18 coupon split by 5 people
$18 less than the cost of 5 hot dog combos
Answer:
$18 less than the cost of 5 hot dog combos
Step-by-step explanation:
First, we see from the minus sign that this will be subtraction. PEMDAS (order of operations) says we do the multiplication first, then the subtraction.
You are graphing rectangle ABCDABCDA, B, C, D in the coordinate plane. The following are three of the vertices of the rectangle: A(-7, -2), B(3, -2),A(−7,−2),B(3,−2),A, left parenthesis, minus, 7, comma, minus, 2, right parenthesis, comma, B, left parenthesis, 3, comma, minus, 2, right parenthesis, comma and C(3,-5)C(3,−5)C, left parenthesis, 3, comma, minus, 5, right parenthesis.
What are the coordinates of point DDD?
Answer:
5 units
Step-by-step explanation:
The graph, the coordinates of point D is (-7, -5).
The given coordinates of the rectangle ABCD are A(−7, -2), B(3, -2) and C(3, −5).
We need to find the coordinates of point D.
How to plot the coordinates on the cartesian plane?A cartesian plane can be defined as a plane formed by the intersection of two coordinate axes that are perpendicular to each other. The horizontal axis is called the x-axis and the vertical one is the y-axis. These axes intersect with each other at the origin whose location is given as (0, 0). Any point on the cartesian plane is represented in the form of (x, y). Here, x is the distance of the point from the y-axis and y is the distance from the x-axis.
Now, plot A(−7, -2), B(3, -2) and C(3, −5) on cartesian plane.
The coordinates are plotted on the graph, shown below.
From the graph, the coordinates of point D is (-7, -5).
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Jorge, sandra, danny, and valeria each mowed lawns after school and on the
weekends for a month. sandra mowed one-third of the number of lawns as jorge
and danny mowed half as many lawns as jorge. if valeria mowed 16 lawns and
the group mowed a total of 49 lawns in the month, how many did jorge mow?
Jorge mowed 18 lawns.
Let the number of lawns mowed by Jorge =x
So according to the question
Number of lawns mowed by sandra = x/3
Number of lawns mowed by Danny =x/2
Number of lawns mowed by Valeria =16
sum of total lawns mowed = lawns mowed by Jorge + lawns mowed by sandra + lawns mowed by Danny + lawns mowed by Valeria.
[tex]x+\frac{x}{3} +\frac{x}{2} +16=49[/tex]
taking LCM as 6 and solving further we get
[tex]\frac{6x+2x+3x+96}{6} =49[/tex]
By cross Multiplying we get
11x+96=294
11x=198
Solving further for x,
x=198/11
x=18
Therefore, the number of lawns mowed by Jorge is 18 .
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5.
-2
2
0
-2
2 what's the slope ?
Answer:
https://www.omnicalculator.com/math/slope
Step-by-step explanation:
go there and you will get the answers or just type in Brainly on search bar the same question your asking on here!
PLEASE HELP ME ILL RATE U 5 STARS PLEASEE
Ali and Leila are analyzing the following points. Ali thinks that most of the points are in
quadrant 2 because there are many x-values that are negative. Leila disagrees. Who is
correct?
(−3, 6), (−2, 4), (−3, −1), (−1, −6), (−4, −5), (−2, −7), (−5, −9), (−8, −9), (−12, −3), (2, 4),
(3, 2) and (4, 1).
Answer: Ali is correct because all of the negatives are mostly in quadrant 2.
Step-by-step explanation:
HELPPPPP ASAPPP PLssss
Answer:
<
Step-by-step explanation:
Negative numbers are always smaller than positive numbers, and "<" is the smaller than symbol, so < is the correct choice. We can eliminate = immediately because a negative number can't equal a positive number (excluding the weird number 0)
Shareholders in an electronics company were informed that the company's market share increased from 4.5% to 5.4%, a rise of 0.9 percentage points. What percent increase in sales does this represent?
If shareholders in an electronics company were informed that the company's market share increased from 4.5% to 5.4%, a rise of 0.9 percentage points. The percent increase in sales that this represent is: 20%.
Percentage increaseUsing this formula
Percentage increase= Percentage increase in share price / Initial percentage x 100%
Let plug in the formula
Percentage increase= 0.9% / 4.5% x 100%
Percentage increase=20%
Therefore If shareholders in an electronics company were informed that the company's market share increased from 4.5% to 5.4%, a rise of 0.9 percentage points. The percent increase in sales that this represent is: 20%.
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Given n bits, how many unsigned integers can be represented with the n bits? what is the range of these integers?
2ⁿ integers can be represented and the range would be 0 to (2ⁿ) -1.
What are integers?An integer is a whole number (rather than a fraction) that can be positive, negative, or zero. Integer examples include -5, 1, 5, 8, 97, and 3,043. Numbers that are not integers include: -1.43, 1 3/4, 3.14,.09, and 5,643.1. There are three kinds of integers: Zero (0) Integers that are positive (Natural numbers) Integers that are negative (Additive inverse of Natural Numbers).So, if n bits are given then 2ⁿ integers can be represented.
And the range is the difference between the largest number by the smallest number. So, the range of 2ⁿ integers will be from 0 to (2ⁿ) -1.
Therefore, 2ⁿ integers can be represented and the range would be 0 to (2ⁿ) -1.
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17. the amount a of money in an account after simple interest has been earned is given
by the formula a = p + prt where p is the principal, r is the annual interest rate
in decimal form, and t is the time in years.
a. solve the formula for r
b. the amount of money in an account after interest has been earned is $1080, the
principal is $1000, and the time is 2 years. what is the annual interest rate?
c. solve the formula for p.
pl
a) the formula for r is r = (a/p - 1)/r
b) The interest rate for the principal is $1000, the time is 2 years and simple inters $1080 is 0.04
c) The formula for p is p = a/1+rt
Simple Interest:
Simple interest is the process of multiplying the daily interest rate by the principal by the number of days that elapse between payments.
Given,
the amount a of money in an account after simple interest has been earned is given by the formula
=> a = p + prt
where
p is the principal,
r is the annual interest rate in decimal form, and
t is the time in years.
Here we need to find the following:
a. solve the formula for r
b. the amount of money in an account after interest has been earned is $1080, the principal is $1000, and the time is 2 years. what is the annual interest rate?
c. solve the formula for p.
a) The formula for r is calculated by moving the other elements and hold on r.
Then, the given formula,
=> a = p + prt
=> a = p (1 + rt)
=> a/p = 1 + rt
=> a/p - 1 = rt
=> r = (a/p - 1)/r
b) The given values are
p = $1000
t = 2
a = $1080
Now apply the values on the formula r to find the value of it,
=> r = ([1080/1000] - 1)/2
=> r = (1.08 - 1) /2
=> r = 0.08/2
=> r = 0.04
c) The formula for p can be derived as follows:
=> a = p + prt
=> a = p(1+rt)
=> p = a/1+rt
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Find the 9th term of the arithmetic sequence 4x+44x+4, 9x+119x+11, 14x+18, 14x+18,...
Answer:
T9=60
Step-by-step explanation:
step 1: solve for x
it is an arithmetic pattern,so the 1st difference is the common difference (d)
therefore...9x+199x+11-(4x+44x+4)=14x+18-(9x+199x+11)
128x+11-48x-4=14x+18-128x-11
80x+7=-144x+7
80x+144x=7-7
224x=0
224x/224=0/224
X=0
step 2: substitute for x
4(0)+44(0)+4=4[1st term]
9(0)+119(0)+11=11(2nd term)
14(0)+18=18(3rd term)
step 3:find the common difference
d=3rd term- 2nd term, 2nd term-1st term
3rd term-2nd term
18-11=7
2nd term-1st term
11-4=7
therefore...d=7
step 4:find the general formula
we use the formula Tn=a+(n-1)d to find the general formula/ nth term
where: Tn is the nth term
a is the first term
n is the number of term
d is the common difference
Tn=a+(n-1)d
=4+(n-1)7
=4+7n-7
=7n-3
step 5:find the 9th term
Tn=a+(n-1)d
=7n-3
=7(9)-3
=60
2. The daily changes in four stock prices are shown in the table. Write
the changes from least to greatest in fraction form with a common
denominator.
Stock
-2 35/100
-1.64
2.05
1 9/40
We get the fractions in ascending order as -2350 / 1000, -1640 / 1000, 1225 / 1000 and 2050 / 1000.
We are given the daily changes in four stock prices as shown in the table.:
-2 35/100
-1.64
2.05
1 9/40
We have to arrange them from least to greatest in fraction form with a common denominator.
We can write -2 35/100 as:
-235 / 100 ( mixed fraction converted into the improper fraction)
= -2350 / 1000
We can write -1.64 as:
- 1.64 = -164 / 100 ( decimal into fraction)
= -1640 / 1000
We can write 2.05 as:
2.05 = 205 / 100 (decimal into fraction)
= 2050 / 1000
We can write 1 9/40 as:
1 9/40 = 49 / 40 ( mixed fraction converted into the improper fraction)
49 / 40 × 25 / 25
= 1225 / 1000
Arranging it from least to greatest, we get that:
-2350 / 1000, -1640 / 1000, 1225 / 1000 and 2050 / 1000
Therefore, we get the fractions in ascending order as -2350 / 1000, -1640 / 1000, 1225 / 1000 and 2050 / 1000.
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I need help asap pls
The results of the equations are listed below:
T' = 20 °C A ≈ 113.097 m² A = 100 ft² s = 312.5 mi C' = $ 120 C' = $ 40 s = 27.5 mi T' = 100 °C C' = $ 60 A = 112 ft²How to use equations to find required information?
In this problem we must make use of given formulas and substitute all known variables to determine all the required information:
Case 1
The temperature in Celsius scale in terms of the temperature in Fahrenheit scale is defined by the following formula:
T' = (5 / 9) · (T - 32)
T' = (5 / 9) · (68 - 32)
T' = 20 °C
Case 2
The area of the circle in terms of its radius is presented below:
A = π · r²
A = π · (6 m)²
A ≈ 113.097 m²
Case 3
The area of the triangle as a function of its base and its height is shown in the following formula:
A = 0.5 · b · h
A = 0.5 · (8 ft) · (25 ft)
A = 100 ft²
Case 4
The traveled distance is the product of the velocity and time:
s = v · t
s = (62.5 mi / h) · (5 h)
s = 312.5 mi
Case 5
The simple interest formula is equal to the product of the invested amount, interest rate and time divided by 100:
C' = (C · r · t) / 100
C' = [(300) · (5) · (8)] / 100
C' = $ 120
Case 6
C' = (C · r · t) / 100
C' = [(200) · (2) · (10)] / 100
C' = $ 40
Case 7
s = v · t
s = (45 mi / h) · (0.5 h)
s = 27.5 mi
Case 8
T' = (5 / 9) · (T - 32)
T' = (5 / 9) · (212 - 32)
T' = 100 °C
Case 9
C' = (C · r · t) / 100
C' = [(1200) · (2.5) · (2)] / 100
C' = $ 60
Case 10
The area of the rectangle is equal to the product of its base and its height:
A = b · h
A = (14 ft) · (8 ft)
A = 112 ft²
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While on vacation, norma and her family visit mount rushmore in south dakota. they watch a movie in the visitor center for 1 3 of an hour. this accounts for 1 6 of the total time they spend at mount rushmore. which equation can you use to find the total amount of time t norma's family spends at mount rushmore?
Norma's family spends 120 mins at Mount Rushmore
The question is based on the concept of linear equations where 1/3 of an hour spent watching a movie equals 1/6 of the total time spent at Mount Rushmore by Norma and her family.
The time they watched the movie = 1/3 of an hour
Time spent at Mount Rushmore = 1/6 of the whole time
The equations will be as follows:
1/3 of an hour = 1/6 of the whole time
20 mins = 1/6 of the whole time
120 mins = The time they spent at Mount Rushmore
So, Norma's family spends 120 mins at Mount Rushmore
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2. A container in the shape of a cube can hold 1,000 cm³ of water. What is the edge length of the container?
Answer:200
Step-by-step explanation:1,090
A quadratic function is shown on the graph.
an upward opening parabola beginning with closed circle at negative 2 comma 4, which decreases to a vertex at 0 comma 0 and then increases to an open circle at 3 comma 9
What is the range of the function?
{x | −2 ≤ x < 3}
{x | −2 < x ≤ 3}
{y | 0 ≤ y < 9}
{y | 0 < y ≤ 9}
Answer:
{y | 0 ≤ y < 9}
Step-by-step explanation:
The range is all the y-values; all the y's on the graph, or if you had an equation, all the y's that could be produced by that equation.
Right away, you know if the question is RANGE, the sets showing x are NOT the answer.
On the graph shown the lowest point is at (0,0) and it IS actually on the graph, so we use a >= symbol that has the "or equal to" bar under the > symbol.
The biggest y-value on the graph is the 9, but it's an open point, so exactly9 is technically NOT on the graph. So we use a < symbol without the bar underneath.
show that 2 1/4 - 6/7 = 11/28
blehh
Hence the required expression is Proved.
Given the expression is 2 1/4 ₋ 6/7 = 39/28
Consider L.H.S 2 1/4 ₋ 6/7
Convert improper fraction to proper fraction.
2 1/4 = 9/4
take LCM of the denominators.
The LCM is 28.
9×7/28 ₋ 6×4/28
63/28 ₋ 24/28
Now subtract.
63 ₋ 24/28
39/28
Hence proved.
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Your question is incomplete. Please find the missing content here.
Show that 2 1/4 ₋ 6/7 = 39/28
Упростить выражение log54+log53 и итог умножить на два
Answer:
6.913339
Step-by-step explanation:
(7x-11) (6x-1) find the value of x
Answer:
Hey!
Since we know that both expressions lay on a straight line, we know that when both lines add up it should be 180°
We can write the expression as (7x - 1) + (6x - 1) = 180
Simplify
→ (7x + −1) + (6x + −1) = 180
Combine Like Terms
→ (7x + 6x) + (-1 + -1) = 180 → 13 + -2 = 180
Add 2 To Both Sides
→ 13x - 2 + 2 = 180 + 2 → 13x = 182
Divide 13 To Both Sides
13x/13 = 182/13 → x = 14
Hence, the value of x is 14!
-------------------------------------------------
Hope This Helped! Good Luck!
BD bisects ZABC. Solve for x and find mABC.
m/ABD = 11x - 10, m/CBD = 8x + 2
The value of x is 4 and the value of ∠ABC is 68°.
To solve this problem we first have to understand the concept of an angle bisector. Angle bisector is a straight line passes through the vertex of an angle dividing the angle in two equal angles.
According to the condition BD bisects ∠ABC
Therefore the two angles formed by the angle bisector are ∠ABD and ∠CBD.
The angle value of these two angles are equal.
Given:
m∠ABD=11x-10
m∠CBD=8x+2
Therefore from the above condition:
m∠ABD=m∠CBD
Substituting the values we get:
11x-10=8x+2
Solving the linear equation to find the value of x.
[tex]or,11x-10=8x+2\\or,11x-8x=2+10\\or,3x=12\\or,x=4[/tex]
Now let us find the value of ∠ABC
m∠ABC=m∠ABD+m∠CBD
or,∠ABC=11x-10+8x+2
or,∠ABC=19x-8
Substituting the value x=4 in the equation we get:
m∠ABC=19×4-8
or,m∠ABC=68°
Therefore we can conclude that the value of xis 4 and the value of ∠ABC is 68°.
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How do I know what the answer is
The Arithmetic sequences are-
-5, 5, -5, 5, - 5, 5.... Not Arithmetic sequences96, 48, 24, 12, 6... Not Arithmetic sequences18, 5.5, -7, -19.5, -32... Arithmetic sequences-1, -3, -9, -27, -81.... Not Arithmetic sequences16, 32, 48, 64..... Arithmetic sequencesWhat is defined as the arithmetic series?Arithmetic sequences are those in which the difference d among successive terms remains constant. An arithmetic sequence's general term can be written as: an = a₁ + (n)d in terms of first term a₁, common difference d, and index n.The common difference must be same for the sequence to be arithmetic;
d₁ = a₂- a₁
d₂ = a₃ - a₂
Thus, d₁ = d₂
Check the common differences for given sequences are-
A. -5, 5, -5, 5, - 5, 5....
d₁ = 5 - (-5) = 10
d₂ = -5 - 5 = -10
d₁ ≠ d₂, not a Arithmetic sequences
B. 96, 48, 24, 12, 6...
d₁ = 48 - 96 = -48
d₂ = 24 - 48 = -24
d₁ ≠ d₂, not a Arithmetic sequences
C. 18, 5.5, -7, -19.5, -32...
d₁ = 5.5 - 18 = -12.5
d₂ = -7 - 5.5 = - 12.5
d₁ = d₂, Arithmetic sequences
D. -1, -3, -9, -27, -81....
d₁ = -3 -(-1) = -2
d₂ = -9 - (-3) = -6
d₁ ≠ d₂, not a Arithmetic sequences
E. 16, 32, 48, 64.....
d₁ = 32 - 16 = 16
d₂ = 48 - 32 = 16
d₁ = d₂, Arithmetic sequences
Thus, the common difference must be equal for Arithmetic sequences.
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How much water should be added to 30 mL of 18% alcohol solution to reduce the concentration to 15%
The amount of water that should be added to 30 mL of 18% alcohol solution to reduce the concentration to 15% is: 6ml.
Amount of water added to alcohol solutionLet x represent the amount of water
Hence,
15% = .18(30)/(30+x)× 100
Solve for x
.15 = 5.4/(30+x)
.15(30+x) = 5.4
30 + x = 5.4/.15= 36
x = 36 - 30
x = 6 ml
Therefore the amount of water that should be added to 30 mL of 18% alcohol solution to reduce the concentration to 15% is: 6ml.
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Your grade on 3 tests were 82,76 and 90. You skipped the fourth test and earned a 0. What must you earn on the fifth test to get a test average of at least 70?
Write and solve and inequality!!
Define variables!!
Answer ASAP!!!
Answer:
102
Step-by-step explanation:
x = 5th test
(82 + 76 + 90 + 0 + x) /5 = 70
248 + x = 70*5
x = 350 - 248
x = 102
5) Margot buys a 5 litre bottle of lemonade for £2.30. She divides it into glasses. She
pours 250ml into each glass. She sells all the glasses at 25p each.
Work out her percentage profit.
Answer: 117.39%
Step-by-step explanation:
5 Litre x 1000 ml (1 litre=1000ml)
=5000 ml
5000÷250
=20 glasses
20 x 25p = 500p (£1 = 100p)
£(500÷100)=£5.00
5.00-2.30/2.30 x 100%
=2.7/2.3 x 100%
≈117.39%
Does this help?
The vertical asymptote of the function = ln(x-6) + 5 is:
O A. x = -6
B. x = -5
O C. x = 6
D. x = 5
The vertical asymptote of the function = ln(x-6) + 5 is option C: x = 6.
The given function is f(x) = ln(x - 6) + 5.
A vertical asymptote is a vertical line that a function approaches but never crosses as it approaches infinity or negative infinity. For a logarithmic function like ln(x), the domain of the function is restricted to positive values only since the natural logarithm is undefined for non-positive arguments.
In the given function, we have f(x) = ln(x - 6) + 5. To find the vertical asymptote, we need to identify the value of x that would make the argument of the natural logarithm equal to zero.
Let's set the argument of the natural logarithm to zero:
x - 6 = 0
Now, solve for x:
x = 6
Thus, the value of x that would make the argument of the natural logarithm zero is x = 6.
So, the correct answer is option C: x = 6.
This means that the vertical asymptote of the function f(x) = ln(x - 6) + 5 is the vertical line x = 6. As x approaches 6 from either side (but never equaling 6), the function's values approach infinity. Similarly, as x approaches negative infinity, the function's values also approach infinity. The function never crosses the vertical line x = 6.
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Rose, Bill, Jean, and Candice each received different seat numbers to watch the performance. The seat numbers were either 53, 64, 108, or 216. Candice
received the only seat number with a factor of 16. Bill received the seat number that is the greatest multiple of 8 from the group of seats. Rose received the
only seat number that is a prime number. Which seat number did Jean receive?
A .Jean received seat number 53.
B .Jean received seat number 64.
C .Jean received seat number 108.
D .Jean received seat number 216.
It should be noted that the seat number is C
Jean received seat number 108.
How to illustrate the information?It should be noted that from the information, The seat numbers were either 53, 64, 108, or 216. Candice received the only seat number with a factor of 16. This is 64.
Bill received the seat number that is the greatest multiple of 8 from the group of seats. This is 216.
Rose received the.only seat number that is a prime number. This is 53
Therefore, the remaining number is 108.
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Lots took one hour to drive from his apartment to philips arena and back. the return drive took 8 minutes less than the trip to the arena. if x represents the time it took llya to drive from his apartment to the arena, which equation would you use to determine how long he drove each way
The equation would use to determine how long he drove each way is 2x - 8 = 60.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
We have been given that Lots took one hour to drive from his apartment to Philips arena and back. the return drive took 8 minutes less than the trip to the arena.
Since the return trip took 8 minutes less, the complete equation must be written in minutes.
Here x - 8 represents the time it took to return to Philips Arena.
The total travel time, including both directions, was 60 minutes;
thus, add x and x - 8 and set them both equal to 60.
So 2x - 8 = 60
Therefore, the equation would use to determine how long he drove each way is 2x - 8 = 60.
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Solve for the formula m
e=mc squared
What is the equation of the line that passes through the point ( -4, 1) and has
slope of -5/4
Answer:
y = -5/4x + 1
Step-by-step explanation:
help me solve this! (with explanation)
Answer:
a) 512cm³ b) 2 × 2 ×2
Step-by-step explanation:
A CUBE'S LENGTH WIDTH AND HEIGHT ARE EQUAL
a) Volume of a cube = length × width × height
as the length width and height are equal so it will be
8 × 8 × 8 = 512
b) Volume of a cube = length × width × height
as length, width and height are equal lets suppose the value of each of them will be = x
volume = x × x × x
vol = x³
8 = x³
∛8 = x
x = 2
