Answer:
It would be 1 whole
Step-by-step explanation:
1/2 - 1/2 is 0 the only thing left is one whole
Is it possible to arrange 152 books on a shelf so that the first shelf has 7 fewer books than the second shelf and 11 more than the third shelf?
Using a system of equations, it is found that since the solution of the system does not involve decimal numbers, it is possible to arrange the books in this way.
For the system, we consider that:
x is the number of books on the first shelf.y is the number of books on the second shelf.z is the number of books on the third shelf.In total, there are 152 books, hence:
[tex]x + y + z = 152[/tex]
The first shelf has 7 fewer books than the second shelf, hence:
[tex]x = y - 7[/tex]
Also, it has 11 more books than the third shelf, hence:
[tex]x = z + 11[/tex]
Then:
[tex]y - 7 = z + 11[/tex]
[tex]z = y - 18[/tex]
Then, replacing in the first equation:
[tex]x + y + z = 152[/tex]
[tex]y - 7 + y + y - 18 = 152[/tex]
[tex]3y = 177[/tex]
[tex]y = \frac{177}{3}[/tex]
[tex]y = 59[/tex]
The number of books in each shelf has to be countable, that is, cannot be decimal.
Then, since the solution of the system does not involve decimal numbers, it is possible to arrange the books in this way.To learn more about system of equations, you can take a look at https://brainly.com/question/14183076
Approximately what portion of the box is shaded blue?
A.2/3. B.9/10
C.3/5
What is the slope of the linear equation that has the values shown in the table
Answer:We noted above that a linear function has the form f(x)= mx+b, f ( x) = m x + b, where m m is the slope of the line, and b b is the y y -intercept. Since m m and b b can take on various values
Step-by-step explanation:
leading coefficient of the polynomial 4x^2−x^6+2x−6
Answer: The leading coefficient is -1.
Step-by-step explanation: Coefficients are the numbers than procede each term with a variable (in this instance, x) in the equation.
[tex]-x^6+4x^2+2x-6\\[/tex]
There are four terms in this equation, which has been reordered in the correct form, which is from the highest term to the lowest term (based on exponent values).
Thus, there are three coefficients in this equation, which, in order, are as follows:
[tex]-1, 4, 2[/tex]
Explain plzzzzzzzzzzzzzz
Answer:
8/3
Step-by-step explanation:
x equals 8/3
7x_2_4x_6=0
3x=8 ÷3 in both sides
Help help help math math
Answer:
The slope is 1
Step-by-step explanation:
Notice that for every 2 unit increase in y, there's a 2 unit increase in x. This determines our slope, or rate of change. So, the slope is Δy/Δx=2/2=1.
Answer:
1
Step-by-step explanation:
Given mſn, find the value of x.
(6x+10)
>
(10x+10)
Write a function rule for that table.
Answer
f(x) = x - 2
Step-by-step explanation:
If you subtract 2 from each x, you get the answer in f(x)
Please look for the question in the picture.
Answer:
Step-by-step explanation:
subtract the polynomials (4x^2-9x-7)-(3x^2-5x-6)
Answer:
x^2 - 4x - 1
Step-by-step explanation:
Is the sum of 5x⁴ + x³ and 2x³ + x² a trinomial expression. If it is true, justify your answer.
Answer:
The sum is a trinomial. It has three terms of different powers in variable "x" and three non zero constants as coefficients.
Step-by-step explanation:
(5x⁴ + x³) + (2x³ + x²) = 5x⁴ + 3x³ + x²
The sum of 5x⁴ + x³ and 2x³ + x² is a trinomial expression that is 5x⁴ + 3x³ + x²
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The sum is a trinomial. It has three terms of different powers in variable "x" and three non zero constants as coefficients.
We are given the expression as;
5x⁴ + x³ and 2x³ + x²
We need to find of the sum of the expression as;
(5x⁴ + x³) + (2x³ + x²)
= 5x⁴ + 3x³ + x²
The sum of 5x⁴ + x³ and 2x³ + x² is 5x⁴ + 3x³ + x²
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need to evaluate integral pls help me
Answer:
[tex]\displaystyle \int\limits^2_0 {f(x)} \, dx = \frac{159}{10}[/tex]
General Formulas and Concepts:
Calculus
Integration
IntegralsIntegral NotationIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Integration Property [Splitting Integral]: [tex]\displaystyle \int\limits^c_a {f(x)} \, dx = \int\limits^b_a {f(x)} \, dx + \int\limits^c_b {f(x)} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle f(x) = \left \{ {{9x^9 ,\ 0 \leq x \leq 1} \atop {4x^3 ,\ 1 \leq x \leq 2}} \right.[/tex]
[tex]\displaystyle \int\limits^2_0 {f(x)} \, dx = \ ?[/tex]
Step 2: Integrate
[Integral] Rewrite [Integration Property - Splitting Integral]: [tex]\displaystyle \int\limits^2_0 {f(x)} \, dx = \int\limits^1_0 {f(x)} \, dx + \int\limits^2_1 {f(x)} \, dx[/tex][Integrand] Substitute in function: [tex]\displaystyle \int\limits^2_0 {f(x)} \, dx = \int\limits^1_0 {9x^9} \, dx + \int\limits^2_1 {4x^3} \, dx[/tex][Integrals] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int\limits^2_0 {f(x)} \, dx = 9 \int\limits^1_0 {x^9} \, dx + 4 \int\limits^2_1 {x^3} \, dx[/tex][Integrals] Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int\limits^2_0 {f(x)} \, dx = 9 \bigg( \frac{x^{10}}{10} \bigg) \bigg| \limits^1_0 + 4 \bigg( \frac{x^4}{4} \bigg) \bigg| \limits^2_1[/tex]Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^2_0 {f(x)} \, dx = 9 \bigg( \frac{1}{10} \bigg) + 4 \bigg( \frac{15}{4} \bigg)[/tex]Simplify: [tex]\displaystyle \int\limits^2_0 {f(x)} \, dx = \frac{159}{10}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Answer:
Step-by-step explanation:
[tex]\int\limits^1_0 {9x^9} \, dx +\int\limits^2_1 {4x^3} \, dx[/tex]
=[tex]\frac{9x^{10}}{10} |_0^1 + x^4|_1^2[/tex]
[tex]=\frac{9}{10}+2^4 -1 = 15\frac{9}{10}[/tex]
What is the answer to this question in SSS, SAS, AA, or none
Answer:
Step-by-step explanation:
40/32 ?=? (40 + 12.5) / (32 + 10)
1.25 ?=? 52.5 / 42
1.25 = 1.25
similar via SAS
Last week, the price of oranges at the farmers market was $1.75 per pound. This week, the price has decreased by 15%. What is the price of
oranges this week?
Answer:
11.6 (6 is repeating)
Step-by-step explanation:
1.75 divided by 15% of 75
Solve the following formula for x y = 7 m x − 8 b
Answer: It depends on which variable you're solving for.
Step-by-step explanation:
Solving for b: b=7/8mx + -1/8xy
Solving for m: m=xy+8b
______
7x
Solving for x: x=-8b
___
-7m+y
Solving for y: y=7mx-8b
______
x
Factor the following expression. Type x^2 for 22 as needed. If it is not factorable, type unfactorable.
22-8x+16
Answer:
63
Step-by-step explanation:
you divide and add then subtract
Please help me I don’t want to fail
Answer:
c
Step-by-step explanation:
are 6/12 and 12/24 equavilent
Answer:
yes because they're both half of each other
Answer:
Yes
Step-by-step explanation:
A permanent magnet d.c. motor has an armature resistance of 0.5 Ω and when a voltage of 120 V is applied to the motor it reaches a steady-state speed of rotation of 20 rev/s and draws 40 A. What will be (a) the power input to the motor, (b) the power loss in the armature, (c) the torque generated at that speed
Answer:
applied to the motor it reaches a steady-state speed of rotation of 20 rev/s and draws 40 A. What will be (a) the power input to the motor, (b) the power loss in the armature, (c) the torque generated at that speed
voltage of 120 V is applied to the motor it reaches a steady-state speed of rotation of 20 rev/s and draws 40 A. What will be (a) the power input to the motor, (b) the power
What is the equation of the line in slope intercept form perpendicular to the y axis and has the point (-4,5)
Answer:
y=5
Step-by-step explanation:
If it is perpendicular to the y-axis, that means it is a horizontal line so the slope m=0.
Use the equation
y-y=m(x-x)
y-5=0(x-(-4))
y-5=0
y=5
Answer:
y=5
Step-by-step explanation:
Jane needs to memorize words on a vocabulary list for German class. She has memorized 8 of the words, which is one-fourth of the list. How many words
are on the list?
Answer:
x = 32 words
Step-by-step explanation:
Okay...let's get solving! :D Firstly, we
let the word list be x and convert the long paragraph into an equation that we can use.
one-fourth = 1/4
Memroized = 8 words
[tex]x * \frac{1}{4} = 8[/tex]
Thus, we solve the equation.
x = 32 words
What are the common factors of 24 and 36?
O A. 1,2,4,6, 12
O B. 1,2,3,4,6,12
C. 1,2,3,4,6,8,12
O D. 1,3,4,9,18
Answer:
B. 1,2,3,4,6,12
Step-by-step explanation:
Factors of 24: 1, 24, 2, 12, 3, 8, 4, 6
Factors of 30: 1, 36, 2, 18, 3, 12, 4, 9, 6,
In six years Xavier will be 3 times older than Joanne is today. Joanne is 24. How old is Xavier?
Answer:
72
Step-by-step explanation:
Description of a turn for those who have never done math / for a child
Answer:
Step-by-step explanation:
1+1=2
2+2=4
3+3=6
4+4=8
5+5=10
DOES ANYONE KNOW PLEASE HELP ME I WILL MARK BRAINLIEST <3
Answer:
i got this i hope this is helpfulI'm sry I can't read and ans
Step-by-step explanation:
Electronic entry of medication orders through CPOE may reduce errors from poor handwriting or incorrect transcription. CPOE systems often include functionalities such as drug dosage support, alerts about harmful interactions, and clinical decision support, which may further reduce errors.
Miguel buys eggs and apples at the store.
• He pays a total of $56.97.
• He pays a total of $6.17 for the eggs.
• He buys 8 bags of apples that each cost the same amount.
.
Write and solve an equation which can be used to determine x, how much each bag
of apples costs.
The cost of each bag of apple is $6.35
Let the cost of a bag of apple be xIf Miguel buys eggs and apples at the store.
• He pays a total of $56.97.
• He pays a total of $6.17 for the eggs.
• He buys 8 bags of apples that each cost the same amount
The correct equation that represents the statement will be given as:
6.17 + 8x = 56.97Make x the subject of the formula
8x = 56.97 - 6.17
8x = 50.8
x = 50.8/8
x = 6.35
Hence the cost of each bag of apple is $6.35
Learn more on equations here: https://brainly.com/question/2972832
Tim wants to create a circle graph showing the number of physicians whose specialty is aerospace medicine. He knows the following information.53 male physicians are under 35 years of age. 8 female physicians are under 35 years of age. 155 male physicians are between 35 and 44 years of age. 17 female physicians are between 35 and 44 years of age. 145 male physicians are between 45 and 54 years of age. 10 female physicians are between 45 and 54 years of age. 98 male physicians are over 54 years of age. 2 female physicians are over 54 years of age. If he wants to include each of the eight groups in his graph, how many degrees would he use for the central angle of the "45-54 year-old Males" sector? Express your answer to the nearest whole number.
Answer:
107 :)
Step-by-step explanation:
In total there are 53+8+155+17+145+10+98+2=488 physicians of aerospace medicine. 45-54 year-old males account for 145/488 of this population, so they should account for that fraction of the central angle of the circle graph also. Since there are 360 degrees in the central angle to divide up among the groups, the 45-54 year-old male group should get 145/488 x 360 which rounds to about 107 degrees.
Find m
∠
J
L
K
∠JLK.
Answer:
m∠JLK° = 62°
Step-by-step explanation:
∠JLK = ∠KJL
SO
56°+2(∠JLK)° = 180°
2(∠JLK)° = 180-56
2(∠JLK)° = 124
∠JLK° = 62°
so m∠JLK° = 62°
Answer:
m∠JLK = 62°
Step-by-step explanation:
180 - 56 = 124
124 ÷ 2 = 62
Determine whether a triangle with the given side lengths is a right triangle.
Answer:
See answer below.
Step-by-step explanation:
This is true for all right triangle a² + b² = c² were c = the largest number
9, 12, 15 A right triangle
21, 28, 35 A right triangle
9, 13, 16 Not a right triangle
10, 11, 15 Not a right triangle
One positive number is 7 more than twice another. If their product is 1425, find the numbers.
Answer:
25 and 57.
Step-by-step explanation:
Let the lowest number be x then the other is 2x + 7, So:
x(2x + 7) = 1425
2x^2 + 7x - 1425 = 0
2 * - 1425 = -2850 = -2 * 3 * 5 * 5 * 19
We need 2 numbers whose product is -2850 and whose sum is + 7.
These are 3 * 19 = 57 and -2* 5 * 5 = -50 so we write:
2x^2 - 50x + 57x - 1425 = 0 Now we factor by grouping:
2x(x - 25) + 57( x - 25) = 0)
(2x + 57) ( x - 25) = 0
x = -57, 25.
We ignore the negative as we are given that the number is positive,
x = 25 is one number and the other is 2(25) + 7 = 57.