The total number of pages that he read will be 210 pages.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Based on the equation given, the equation to represent Amir's information will be:
y = 35 × x
y = 35x
Jesse's equation will be:
y = 30(x + 1)
Then, we'll equate both equations together. This will be:
35x = 30(x + 1)
35x = 30x + 30
35x - 30x = 30
5x = 30
x = 30/5
x = 6
Therefore, the number of pages read will be:
y = 35x
y = 35 × 6
y = 210 pages.
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please help me with this
Answer: final answer = 3/8
Step-by-step explanation:
it says 1/8 + 1/4. before you can add them you have to make sure that both fractions have the same denominator first you have to make both of the bottom denominators the same so its 1/8+2/8.
1/8+2/8=3/8
A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
Considering the triangle with exterior angles and interior angles as described. The statements that are true include
m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°How to determine the statements that are correctThe problem is solved considering this 3 theorems about triangles
exterior angle of a triangle theoremlinear pair theoremsum of angles in a triangleexterior angles theorem: m∠2 + m∠3 = m∠6
If a triangle side is created, the outside angle that results is equal to the sum of the two opposite internal angles.
Linear pair theorem: m∠5 + m∠6 =180°
Linear pairs are particular instances of supplementary angles that only involve two neighboring angles.
Sum of angles in a triangle is equal to 180 degrees:
m∠2 + m∠3 + m∠5 = 180°
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if he uses upper and lower control limits of 520 and 480 hours, what is the probability that a sample mean is out of control?( assuming the process standard deviation is known to be 20 hours)
0.0456 is the probability that a sample mean is out of control.
What is probability in math?
Probability refers to potential. The subject of this area of mathematics is the occurrence of random events.The range of the value is 0 to 1. To forecast how likely events are to occur, probability has been introduced in mathematics.UCL = 520
LCL = 480
Mean (X ) = 500
Standard Deviation of sample (Sn) = 11.55
Z (for UCL) = (UCL - Mean)/Sn
Z (for UCL) = (520-500)/10
Z (for UCL) = 2
Z (for LCL) = (LCL - Mean)/Sn
Z (for LCL) = (480 - 500)/10
Z (for LCL) = -2
*Use Z table to find confidence level between Z value of -2 and 2.
Confidence level = 0.4772 + 0.4772
Confidence level = 0.9544
Risk (α ) = 1 - confidence level
Risk (α) = 1 - 0.9544
Risk (α) = 0.0456
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4-9×2^x+2+1=0. Please help me to solve the question please
Answer:
x=[tex]log_{2} 7/9[/tex]
Step-by-step explanation:
4-9×2^x+2+1=0
4-9×2^x+3=0
4+3-9×2^x=0
7-9×2^x=0
7-7-9×2^x=0-7
-9×2^x=-7
9×2^x=7
9×2^x/9=7/9
2^x=7/9
[tex]log_{2} 2^x[/tex]=[tex]log_{2} 7/9[/tex]
x=[tex]log_{2} 7/9[/tex]
Janet attends state university and lives in an on campus dorm suite with 5 friends. They share cost of the monthly upgraded cable bill for their suite. Below is a listing of the bills for their freshman year. 9. Round the following value
Σ
619
X₁
to the nearest dollar.
Interpret the answer in the context of the problem.
Answer:
Step-by-step explanation: Step 1
1 of 2
step 1.2659 ;[26 Discovery Group
October 20
Last
Trade Time
Chg
Open
52-week High
52-week Low
Sales in 100s
High
Low
$38.50
4:00 P.M. ET
$1.56
$37.22
$76.19
$22.78
19,700
$40.10
$36.77
\begin{matrix} \text{Discovery Group} & \text{}\\ \text{October 20} & \text{}\\ \text{Last} & \text{\$42.00}\\ \text{Trade Time} & \text{4:00 P.M. ET}\\ \text{Chg} & \text{\$1.50}\\ \text{Open} & \text{\$42.50}\\ \text{52-week High} & \text{\$76.19}\\ \text{52-week Low} & \text{\$22.78}\\ \text{Sales in 100s} & \text{23,600}\\ \text{High} & \text{\$42.50}\\ \text{Low} & \text{\$42.00}\\ \end{matrix}
Discovery Group
October 20
Last
Trade Time
Chg
Open
52-week High
52-week Low
Sales in 100s
High
Low
$42.00
4:00 P.M. ET
$1.50
$42.50
$76.19
$22.78
23,600
$42.50
$42.00
A city doubles its size every 5 years. If the population is currently 469,900, what will the
population be in 20 years?
the population would be 7,518,400
469,900 • 2^20/5
* 20/5 is part of the exponent
Answer:
7518400
Step-by-step explanation:
Doubling time model:
[tex]P= P_o 2^{\frac{t}{D}}[/tex]
Here, P is the initial value, D is the time taken to double the quantity, t is the given period of time.
[tex]P_o = 469,900\\\\\\D = 5 \ years\\t = 20 \ years[/tex]
[tex]P = 469,900 * 2^\frac{20}{5}\\\\P = 469,900 * 2^4[/tex]
= 469,900 * 2 * 2 * 2 * 2
= 7518400
What is the equation of the line in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
See below
Step-by-step explanation:
Find slope using two convenient integer coordinates
(-1,4) and (1, -8) are convenient
slope = (y1-y2) / (x1-x2) = (4 - -8) / ( -1 -1) = 12/-2 = -6
the y-axis intercept is -2 ( by looking at the graph)
y = -6x -2 Done.
The area of the rectangle ABCD is 28[tex]cm^{2}[/tex]
a) What is the length of side AB in terms of x?
length of AB = (Answer here) (1)
b) If the area of rectangle ABCD is 28[tex]cm^{2}[/tex], we can show that [tex]x^{2}[/tex] + ax = b where a and b are integer values.
Work out the values of a and b.
a = (Answer here) (1) b = (Answer here) (1)
Answer:
see explanation
Step-by-step explanation:
(a)
AB = 4 + x
(b)
the area (A) of rectangle ABCD is calculated as
A = length × breadth
= AB × AD
= (4 + x)(6 + x) ← expand using FOIL
= 24 + 10x + x²
given A = 28 , then
x² + 10x + 24 = 28 ( subtract 24 from both sides )
x² + 10x = 4 ← in the form x² + ax = b
with a = 10 and b = 4
Write 10x - 5y = -30 in slopeintercept form.
y =
X +
Answer:
[tex]y=2x+6[/tex]
Step-by-step explanation:
Slope-intercept form is [tex]y=mx+b[/tex].
Therefore, rearranging the given formula:
[tex]10x-5y=-30[/tex]
[tex]-5y=-10x-30[/tex]
[tex]\frac{-5y}{-5}=\frac{-10x}{-5}-\frac{30}{-5}[/tex]
[tex]y=2x-(-6)[/tex]
[tex]y=2x+6[/tex]
Answer: y=2x+6
Step-by-step explanation:
A slope-intercept form is y=mx+b
Hence,
[tex]10x-5y=-30\\\\10x-5y+5y=-30+5y\\\\10x=-30+5y\\\\10x+30=-30+5y+30\\\\10x+30=5y[/tex]
Divide both parts of the equation by 5:
2x+6=y
Thus, y=2x+6
A catering company loses $110 as a result of a delay.
The 5 owners of the company must share the loss equally.
Which quotient represents each owner's share of the loss?
I know the answer but, is 110 negative or positive??
Answer: Positive
Step-by-step explanation: It would be positive because the question is asking how much money they lost. The lost a positive amount of money.
30% of the tickets sold at a school carnival were early-admission tickets. If the school sold 100 tickets in all, how many early-admission tickets did it sell?
The number of early-admission tickets that it sells is 30.
How to calculate the number of early admission?From the information, 30% of the tickets sold at a school carnival were early-admission tickets and the school sold 100 tickets in all.
Therefore, the number of early admission will be:
= Percentage for early admission × Total number of tickets
= 30% × 100
= 0.3 × 100
= 30
Therefore, there are 30 early admission.
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. Identify the key features of g(x) = x², including the domain, range, x and y intercepts, and
intervals of increase and decrease.
The required key features of [tex]g(x) = x^{2}[/tex] including domain is (-∞, ∞) (i.e. all real values), range = [0,∞), x-intercept = (0,0), y-intercept = (0,0), interval of increasing = (0,∞) and interval of decreasing = (-∞, 0)
What is a quadratic function?
A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function.
The graphs of quadratic functions are frequently curved or nonlinear. A parabola, a kind of U-shaped curve, is the particular type of curve that makes up the graph of a quadratic function.
Given, [tex]g(x) = x^{2}[/tex]
The graph of the given function is given below:
From the graph,
Domain = (-∞, ∞) (i.e. all real values)
Range = [0,∞)
x-intercept = (0,0)
y-intercept = (0,0)
Interval of increasing = (0,∞)
Interval of decreasing = (-∞, 0)
Hence, these are the required key features of [tex]g(x) = x^{2}[/tex].
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What are the advantages of bankruptcy? a. Exempted items are allowed. b. Certain incomes are unaffected. c. Debts are erased. d. "Exempted items are allowed" and "An automatic stay is enacted". e. All of these choices are correct. f. An automatic stay is enacted.
The advantages of bankruptcy include the following: e. All of these choices are correct.
What is bankruptcy?In Financial accounting, bankruptcy can be defined as a legal process that is initiated when an individual or business organization (debtors) is relieved of the responsibility to pay their debts, honor its financial obligations to creditors, or protect them while they are trying to repay their debt.
The advantages of bankruptcy.Generally speaking, there are several advantages of bankruptcy and these include the following:
Some certain incomes are unaffected by bankruptcy.All of the debts are erased.An automatic stay would be enacted.Exempted assets such as unemployment benefits and retirement accounts are retained or allowed.In conclusion, we can reasonably infer and logically deduce that bankruptcy is generally considered as both a friend and foe (enemy).
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a solid triangular prism has a height of 12 inches. the triangular base of this prism is shown below. what is the surface area, in square inches, of this prism?
The surface area of the triangular prsim is 290.4 in² and the right option is B. 290.4 in².
What is surface area?Surface area is the space occupied by a two-dimensional flat surface is called the area. It is measured in square units.
To calculate the surface area of the triangular prism, we use the formula below.
Fromula:
S.A = (a+b+c)L+bh.................... Equation 1Where:
S.A = Surface area of the prisma , b, c = Three sides of the base triangle respectively.h = Height of the triangular baseL = Lenght of the prismFrom the question,
Given:
L = 12 ina = 5 inb = 9 inc = 7.2 inh = 4 inSubstitute these values into equation 1
S.A = (5+9+7.2)12+(4×9)S.A = 254.4+36S.A = 290.4 in²Hence, the right option is B. 290.4 in².
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I NEEEDD HELP ASAPP PLEASE
Solve negative three minus one and two fifths.
three fifths
one and two fifths
negative four and two fifths
four and two fifths
Answer:
Step-by-step explanation:
1. Put Words into Math.
Negative three minus one and two fifths= -3- 1 2/5
2. Solve the math problem
-3-1 2/5= -4 2/5 or -22/5 in improper fraction
Answer: -4 2/5 or -22/5
I need help with number 7.
With the help of the given trendline equation, the length of the flight will be 3,613.34 miles.
What are equations?A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation. As in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others.So, the length of the flight will be:
The trendline equation is: T = 458 + 0.15DT is the cost which is given as $1000 and D is the distance.Now, calculate for D as follows:
T = 458 + 0.15D1000 = 458 + 0.15D1000 - 458 = 0.15D0.15D = 542D = 542/0.15D = 3,613.33We can write as D = 3,613.34
Therefore, with the help of the given trendline equation, the length of the flight will be 3,613.34 miles.
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Which lists of terms are ordered from least to greatest?
Select TWO correct answers.
√6 2.5 8/3
√8 11/4 2.9
9/5 1.9 √5
13/5 2.8 √7
1.8 7/4 √3
The terms ordered from least to greatest are √6, 2.5, 8/3, and 9/5, 1.9, √5. Then the correct options are A and C.
What is ascending order?It is the order of the numbers in which a smaller number comes first and then followed by the next number and then the last number will be the biggest one.
Let's check all the options. Then we have
a) √6, 2.5, 8/3, convert the numbers into a decimal form. Then we have
⇒ 2.449, 2.5, 2.667, order is in ascending form.
b) √8, 11/4, 2.9, convert the numbers into a decimal form. Then we have
⇒ 2.828, 2.75, 2.667, order is not in ascending form.
c) 9/5, 1.9, √5, convert the numbers into a decimal form. Then we have
⇒ 1.8, 1.9, 2.236, order is in ascending form.
d) 13/5, 2.8, √7, convert the numbers into a decimal form. Then we have
⇒ 2.6, 2.8, 2.645, order is not in ascending form.
e) 1.8, 7/4, √3, convert the numbers into a decimal form. Then we have
⇒ 1.8, 1.75, 1.732, order is not in ascending form.
The terms ordered from least to greatest are √6, 2.5, 8/3, and 9/5, 1.9, √5. Then the correct options are A and C.
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suppose the counts recorded by a geiger counter follow a poisson process with an average of 2 counts per minute. what is the probability that there are no counts in a 30 second interval? round your answer to 3 decimal places. suppose the counts recorded by a geiger counter follow a poisson process with an average of 2 counts per minute. what is the probability that there are no counts in a 30 second interval? round your answer to 3 decimal places.
The probability that there are no counts in a 30 second interval is 0.284
What is probability ?
Probability refers to potential.This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Before we can determine the probability that a particular event will occur, we must first know the total number of outcomes.
Given that,
Assume that a Geiger counter records counts using a poisson process, with an average rate of 2 counts per minute.
0.284
P(X < 10 Seconds) = P(X<1/6 minutes) = F(1/6) = 1-e-2*1/6 = 1-e-1/3 = 0.284
Therefore, the probability that there will be no counts in a 30-second period is 0.284.
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Partition a line segment in the given ratio.
Point V lies on TU such that TV:UV is 5:2. Graph V.
Check the picture below.
[tex]\textit{internal division of a line segment using ratios} \\\\\\ T(-5,9)\qquad U(9,2)\qquad \qquad \stackrel{\textit{ratio from T to U}}{5:2} \\\\\\ \cfrac{T\underline{V}}{\underline{V} U} = \cfrac{5}{2}\implies \cfrac{T}{U} = \cfrac{5}{2}\implies 2T=5U\implies 2(-5,9)=5(9,2)[/tex]
[tex](\stackrel{x}{-10}~~,~~ \stackrel{y}{18})=(\stackrel{x}{45}~~,~~ \stackrel{y}{10}) \implies V=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-10 +45}}{5+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{18 +10}}{5+2} \right)} \\\\\\ V=\left( \cfrac{ 35 }{ 7 }~~,~~\cfrac{ 28}{ 7 } \right)\implies {\Large \begin{array}{llll} V=(5~~,~~4) \end{array}}[/tex]
What are the workings of this question? How to arrive at the answer?
The variation equation that connects x and y is y³ = 4.5x(x - 1) and the value of y is 4.48 when x equals 5
The equation that connects x and y?From the question, the variation statement is given as
The cube of y is directly proportional to x(x - 1)
Also, we have the initial values of x and y to be
x = 3 and y= 3
When the variation statement is represented as an equation, we have:
y³ = kx(x - 1)
Where k is the variation constant
Substitute the known values in the above equation So, we have the following equation
3³ = k x 3 x (3 - 1)
Evaluate
27 = 6k
Divide both sides by 6
k = 4.5
Substitute k = 4.5 in y³ = kx(x - 1)
y³ = 4.5x(x - 1)
Hence, the equation is y³ = 4.5x(x - 1)
The value of yHere, we are given that
x = 5
Substitute 5 for x in the equation y³ = 4.5x(x - 1)
So, we have
y³ = 4.5 x 5 x (5 - 1)
Evaluate
y³ = 90
Take the cube root of both sides
y = 4.48
Hence, the value of y is 4.48
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Find the asymptotes and intercept of the following rational function
Show your work for the intercepts!
Answer:
VA: x = 1, x = -1
HA: y = 0
x-int: (4, 0)
y-int: (0, 4)
Step-by-step explanation:
x-int:
0 = (x-4)/((x-1)(x+1))
0 = (x-4) because the (x-1)(x+1) are multiplied by 0
4 = x
x = 4
(4, 0)
y-int:
y = (0 - 4)/((0 - 1)(0 + 1))
y = (-4)/((-1)(1))
y = (-4)/(-1)
y = 4/1 = 4
(0, 4)
Dev’ car currently ha 18 gallon of ga in the tank. He ue about 0. 04 gallon for every mile he drive. Dev want to go on a car trip over the weekend and have at leat 2 gallon of ga left in hi tank to get to work on Monday. What i the olution of the inequality that determine how far Dev can travel over the weekend? (Example 2) Let x repreent the number of mile Dev travel
The solution of the inequality that determines how far Dev can travel over the weekend is -
x ≤ 400 miles.
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have Dave who is planning a car trip for weekend.
Assume that [x] represents the number of miles Dev can travel.
We can write the inequality as -
18 - 0.04x ≤ 2
0.04x ≤ 16
x ≤ 400 miles
Therefore, the solution of the inequality that determines how far Dev can travel over the weekend is -
x ≤ 400 miles.
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a process that fills packages is stopped whenever a package is detected whose weight falls outside the specification. assume that each package has probability 0.04 of falling outside the specification and that the weights of the packages are independent. find the variance of the number of packages that will be filled before the process is stopped.
The variance of the number of packages that will be filled before the process is stopped will be 600 when the probability of falling outside the specification is 0.04.
What is variance?Variability is measured by the variance. The average of the squared deviations from the mean is used to calculate it. The degree of spread in your data set is indicated by variance. The variance is greater in relation to the mean the more dispersed the data. In statistics, the variance is used to assess how accurately the mean summarizes all of the data. For instance, more range exists within the set the higher the variance.
P(fail)=0.04
P(pass)=0.96
variance=(1-P)/P²
=(1-0.04)/0.0016
=0.96/0.0016
variance=600
When the likelihood of falling outside the specification is 0.04, the range of packages that will be filled before the process is stopped is 600.
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the coordinates of point are (-3,5). what are the coordinates of point B, which is a reflection of point A across the x-axis?
Answer:
Step-by-step explanation:
3 as the x axis and -5 for the y axis
Hannah swims in a swimming pool of 25 metres long.
How many laps does she need to complete for a total distance of 0.5 kilometre?
She needs to complete 20 laps for a total distance of 0.5 kilometer.
1 kilometers = 1000 meters
0.5 kilometers = 500 meters
Length of swimming pool = 25 meters
That means, she covers 25 meters in 1 lap.
Laps to cover 500 meters = 500/25
= 20
Hence, she needs to do 20 laps.
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In the first week of July, a record 1,040 people went to the local swimming pool. In the second week, 110 fewer people went to the pool than in the first week. In the third week, 145 more people went to the pool than in the second week. In the fourth week, 139 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four weeks?
Answer:
62%
Step-by-step explanation:
1040-110-145-139=646
646/1040=62%
Rodrigo is taking an SAT prep class at the Westminster Community Center. The community center is 3.1 miles away from Rodrigo's house. How far apart are Rodrigo's house and the community center on a map with a scale of 3 inches : 9.3 miles?
1 inch is the distance between Rodrigo's house and the community center on a map with a scale of 3 inches : 9.3 miles
What is Unit of Measurement?A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.
Given,
The community center is 3.1 miles away from Rodrigo's house.
We need to find how far apart are Rodrigo's house and the community center on a map with a scale of 3 inches : 9.3 miles
As given, 3 inches : 9.3 miles
1 mile = 3/9.3 inches
1 mile = 0.323 inches.
So let us multiply 3.1 with 0.323
3.1×0.323
1.0013 inches
Hence 1 inch is the distance between Rodrigo's house and the community center on a map with a scale of 3 inches : 9.3 miles
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Fill in the blanks below in order to justify whether or not the mapping shown
represents a function.
Set A
Submit Answer
+
2
Ń
9.
The mapping diagram above
where there
Set B
5
C
a function since
C
in
attempt 1 out of 2
Two lines. C and D. are represented by the equations given below:
Line C. y = x + 12
Line D. y = 3X + 2
Which of the following shows the solution to the system of equations and explains why?
The correct result would be (x, y) = (5, 17); because both lines pass through this point.
Given,
In the question:
Two lines. C and D are represented by the equations.
We have :
Line C. y = x + 12
Line D. y = 3X + 2
Now, According to the question:
y = x + 12
y = 3X + 2
Substitute into one of the equations
x + 12 = 3x + 2
Solve the equation:
Combine like terms:
x - 3x = 2 - 12
-2x = -10
x = -10/-2
x = 5
Put the value of x in equation of Line C
y = x + 12
y = 5 + 12
y = 17
Hence, The correct result would be (x, y) = (5, 17); because both lines pass through this point.
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One out of every ten students in a school takes lunch to school. If there are two hundred students in the school, how many of them do not take lunch to school?
180 students do not take lunch to school.
From the question, we have
Number of students do not take lunch to school= 200-20
=180 students
Subtraction:
Subtraction represents the operation of removing objects from a collection. The minus sign signifies subtraction −. For example, there are nine oranges arranged as a stack (as shown in the above figure), out of which four oranges are transferred to a basket, then there will be 9 – 4 oranges left in the stack, i.e. five oranges. Therefore, the difference between 9 and 4 is 5, i.e., 9 − 4 = 5. Subtraction is not only applied to natural numbers but also can be incorporated for different types of numbers.
The letter "-" stands for subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation. A minuend is the first number in a subtraction process and is the number from which we subtract another integer in a subtraction phrase.
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