Final answer:
A rational number is a number that can be written as a ratio of two integers, with the denominator not equal to zero.
Explanation:
The definition of a rational number is a number that can be written as a ratio of two integers, where the numerator and the denominator are both integers and the denominator is not zero. For example, fractions such as 2/3, where both 2 and 3 are integers, represent rational numbers. This is different from irrational numbers like √2 or transcendental numbers like π, which cannot be expressed as a ratio of two integers.
Furthermore, while all integers are themselves rational numbers (since any integer 'a' can be written as 'a/1'), not all rational numbers are integers, particularly when the numerator is not a multiple of the denominator.
Can someone help me...again?
1. A bag of chips costs $3.79 including tax Mr.Connor wants to purchase chips for his class and has a $15 budget. Write and inequality to solve for the number of bags of chips Mr.Connor can purchase with his budget
A. $15x > $3.79
B.$15x < $3.79
C $3.79 > $15
D. $3.79 < $15
(There is a flat line under all the greater than and less than signs)
2. A cab charges $1.75 for the first mile $0.25 for each additional mile. Write and solve an inequality to determine how many miles eddie can travel if he has $15
A. $1.75 + $0.25x < $15; x < 53 miles
B. $1.75 + $0.25x > $15; x >53 miles
C. $0.25 + $1.75x < $15; x< 8 miles
D.$0.25 + $1.75x > $15; x > 8 miles
Simplify the given expression:
4/3-2i
If x2 − 8xy + 12y2 = 8 and x − 6y = 3, then x − 2y =
A radio commercial for a loan company states: “You only pay $0.29 a day for
each $500 borrowed.” If you borrow $1,500 for 120 days, what amount will you
repay, and what annual interest rate is the company actually charging?
What number represents the same amount as 2 hundreds 14 tens 3 ones
The representation of the given number will be given below such that it sum should be 343.
What is summation?A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities. Here are always an integer number of terms in a summation.
There might simply be two terms, but there might also be 100,000 or a million. Summations exist with an infinite number of parameters.
The summation is to add or subtract any two or more terms by doing the operation.
The representation of 200, 14, and 3 will be
200 hundred
14 tens
+ 3 ones
--------------------
343
For more information about summation
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A highway map of Ohio has a coordinate grid superimposed on top of the state. Springfield is at point (1, –4) and Columbus is at point (7, 1). The Springfield youth soccer team is going to Columbus to see a professional soccer match. The map shows a highway rest area halfway between the cities. What are the coordinates of the rest area? What is the distance between Springfield and Columbus? (One unit = 5.38 miles)
In ∆ABC shown below, ∡BAC is congruent to ∡BCA. Given: Base ∡BAC and ∡ACB are congruent.
Prove: ∆ABC is an isosceles triangle.
Construct a perpendicular bisector from point B to line segment AC.
Label the point of intersection between this perpendicular bisector and line segment AC as point D.
m∡BDA and m∡BDC is 90° by the definition of a perpendicular bisector.
∡BDA is congruent to ∡BDC by the definition of congruent angles. Line segment AD is congruent to line segment DC by _______1________.
∆BAD is congruent to ∆BCD by the _______2________. Line segment AB is congruent to line segment BC because corresponding parts of congruent triangles are congruent (CPCTC).
Consequently, ∆ABC is isosceles by definition of an isosceles triangle.
options are:
a)1. Angle-Side-Angle (ASA) Postulate
2. corresponding parts of congruent triangles are congruent (CPCTC)
b) 1. corresponding parts of congruent triangles are congruent (CPCTC)
2. Angle-Side-Angle (ASA) Postulate
c) 1. the definition of a perpendicular bisector
2. Angle-Side-Angle (ASA) Postulate
d) 1. corresponding parts of congruent triangles are congruent (CPCTC)
2. the definition of a perpendicular bisector
Refer to the image attached.
Given: [tex]\angle BAC[/tex] and [tex]\angle BCA[/tex] are congruent.
To Prove: [tex]\Delta ABC[/tex] is an isosceles triangle.
Construction: Construct a perpendicular bisector from point B to line segment AC. Label the point of intersection between this perpendicular bisector and line segment AC as point D.
Proof:
Consider [tex]\Delta BDA, \Delta BDC[/tex]
[tex]\angle BDA = \angle BDC= 90^\circ[/tex]
(By the definition of perpendicular bisector)
[tex]AD=DC[/tex] (By the definition of perpendicular bisector)
So, Line segment AD is congruent to DC by the definition of perpendicular bisector.
[tex]\angle BAC[/tex] = [tex]\angle BCA[/tex] (given)
So, [tex]\Delta BDA \cong \Delta BDC[/tex] by ASA congruence postulate.
∆BAD is congruent to ∆BCD by the ASA congruence Postulate.
Line segment AB is congruent to line segment BC because corresponding parts of congruent triangles are congruent (CPCTC).
So, Option C is the correct answer.
What does 28 tens divided by 4 equal?
You calculate this by first understanding that '28 tens' means 280, and then dividing 280 by 4. So, 28 tens divided by 4 equals 70.
The phrase '28 tens' refers to 28 multiplied by 10, 28 x 10 = 280.
To find the result of dividing this by 4, we calculate 280 ÷ 4 = 70.
Therefore, 28 tens divided by 4 equals 70.
Paco buys a carton of eggs. the carton has 2 rows of eggs. there are 6 eggs in each carton. how many eggs are in the carton
The total number of eggs in the carton is 12, as there are 2 rows with 6 eggs each, and you calculate the total by multiplying these two numbers.
Paco buys a carton with 2 rows of eggs and there are 6 eggs in each row.
To find the total number of eggs in the carton, you multiply the number of rows by the number of eggs in each row: 2 rows× 6 eggs per row equals a total of 12 eggs in the carton.
So, in this case, the number is 12, and the unit is eggs.
PRE-ALGEBRA HELPPPP!!
Answer:
yeet
Step-by-step explanation:
The number of days between Aug. 9 and Jan. 3 is
Translate the phrase into a math expression.
Twenty divided by the sum of 4 and 1.
(1+4) ÷ 20
20 ÷ (1+4)
1 + (4÷20)
(20÷4) + 1
Answer:
[tex]\displaystyle 20 \div (1 + 4)[/tex]
Explanation:
It is EXACTLY how it sounds, and of course, you must include grouping symbols to separate both parts of the expression.
I am joyous to assist you anytime.
jika f(x)= 1/2 x - 1 dan g(x)= 2x 4. Maka nilai (gof)^-1 (10) adalah ...
a. -9
b. -8
c. 8
d. 9
e. 10
Which of the following best describe perpendicular lines? A.lines that are not in the same plane B. Lines that meet at a 90* angle C. Lines that meet at a 45' angle D. Lines that are coplanar and do not intersect
A line is said to be perpendicular to another line if the two lines intersect at a right angle. An angle is said to be a right angle if its measure is 90 degrees.
The question is asking us to select the option which best describes a perpendicular lines.Among all the options given option B states :Lines that meet at a 90* angle.
Option B is the right answer.
The perpendicular lines are those lines that meet at a 90* angle. That is option B.
Perpendicular linesPerpendicular lines are those lines that meet at an angle of 90°. To further explain the perpendicular lines, a diagram above is used.
Line AB is perpendicular to XY because AB and XY intersect each other at 90°.
Some of the characteristics of perpendicular lines include:
These lines always intersect at right angles.Adjacent sides of a square and a rectangle are always perpendicular to each otherTherefore, perpendicular lines are those lines that meet at a 90* angle.
Learn more about perpendicular lines here:
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what is the domain of the composite function G ( F ( x ) )
Find the equation of the straight line parallel to 2y=3x-7 and passing though the point (0.5,-1)
Find the area of a triangle with sides of length 6 and 26 and included angle 74 degrees.
How do I find dy/dx of the equation 4x^3-3xy^2+y^3=28 at the point (3,4)?
To find dy/dx of the equation 4x^3 - 3xy^2 + y^3 = 28 at the point (3,4), you can use implicit differentiation and solve for dy/dx.
Explanation:To find dy/dx of the equation 4x^3 - 3xy^2 + y^3 = 28 at the point (3,4), we need to use implicit differentiation. We differentiate both sides of the equation with respect to x, treating y as a function of x. Thus, we get:
12x^2 - 3y^2 - 3x(2y(dy/dx)) + 3y^2(dy/dx) = 0
Now we substitute x = 3 and y = 4 into the equation and solve for dy/dx:
12(3)^2 - 3(4)^2 - 3(3)(2(4)(dy/dx)) + 3(4)^2(dy/dx) = 0
Find equation of the axis of symmetry of Y= -3x^2+12x-7
15-28i=3m+4ni find the values of m and n that make this equation true
Final answer:
The values of m and n that satisfy the equation 15 - 28i = 3m + 4ni are m = 5 and n = -7 after equating and solving the real and imaginary parts separately.
Explanation:
To find the values of m and n that make the equation 15 - 28i = 3m + 4ni true, we must equate the real parts and the imaginary parts of both sides of the equation separately. The real part of the left side of the equation is 15, and the imaginary part is -28i. Similarly, for the right side, the real part is 3m, and the imaginary part is 4ni.
Equate the real parts: 15 = 3m
Dividing both sides by 3, we get m = 5.
Equate the imaginary parts: -28i = 4ni
Dividing both sides by 4i, we get n = -7.
Hence, the values that satisfy the equation are m = 5 and n = -7.
oli has a volume of 9000cm3 and a density of 0.8g/cm3
what is the mass of the oil
for tomoz plz help
Write the following number in scientific notation:
0.000721
Note from userneedshelp12: I do not understand scientific notation at all. So, if you help, will you please explain how you got your answer?
On monday, deborah ran 3 2/5 miles and on tuesday she ran 4 1/5 miles how many miles did she run on these 2 days togehter
Final answer:
Deborah ran a total of 7 3/5 miles combined on Monday and Tuesday. This was determined by adding 3 2/5 miles and 4 1/5 miles together after converting them to improper fractions.
Explanation:
On Monday, Deborah ran 3 2/5 miles and on Tuesday she ran 4 1/5 miles. To find the total distance Deborah ran over these two days, we need to add the two distances together. When working with mixed numbers, it's often easiest to convert them to improper fractions before adding.
3 2/5 miles is the same as (3 × 5 + 2)/5 = 17/5 miles.
4 1/5 miles is the same as (4 × 5 + 1)/5 = 21/5 miles.
Adding these two fractions:
17/5 miles + 21/5 miles = (17 + 21)/5 miles
= 38/5 miles
= 7 3/5 miles
So, Deborah ran a total of 7 3/5 miles on Monday and Tuesday combined.
Write an equation that models the sequence 400, 200, 100, 50, ...
What is the absolute value or −|9| = −9?
Which of the following ratios is not equivalent to 6:10?
3/5
9/15
48/80
24/45
The ratio that is not equivalent to 6:10 is 24/45, as it simplifies to 8/15 instead of 3/5 like the other options.
To determine which of the given ratios is not equivalent to 6:10, we can simplify the ratio 6:10 or convert it to a fraction and then reduce it to its simplest form. In fraction form, 6:10 can be written as 6/10, which simplifies to 3/5 when both the numerator and the denominator are divided by their greatest common divisor, which is 2.
3/5 is clearly equivalent to 3/5, so this option is not the one we're looking for.9/15 also simplifies to 3/5 (divide both by 3).48/80 simplifies to 3/5 as well (divide both by 16).24/45, however, simplifies to 8/15 when both the numerator and the denominator are divided by 3. This is not equivalent to 3/5.Therefore, the ratio that is not equivalent to 6:10 is 24/45.
SOLVE. integration of (1-v) /(1+v^2)
Answer:
[tex]tan^-1( v) - \frac{1}{2} ln(1+{v}^2) +c[/tex] is the answer.
Step-by-step explanation:
∫[tex]\frac{1-v}{1+{v}^2} \\\frac{1}{1+{v}^2}- \frac{v}{1+{v}^2}}[/tex]
∫[tex]\frac{dv}{1+{v}^2}[/tex]-∫[tex]\frac{2v}{1+{v}^2}[/tex]dv
[tex]{tan}^{-1} (v)-\frac{1}{2} ln(1+{v}^2) +c[/tex]
Latonya bought flowers for her mother. She spent $45. Each tulip was $1 and each rose was $2. She bought 3 more tulips than roses.
Let t be the number of tulips. Which algebraic sentence would help you figure out how many tulips Latonya bought?
A. t + 2(t + 3) = 45
B. t + 2(t – 3) = 45
C. 2t (t + 3) = 45
D. -3t + 2t = 45
What is the solution to the system of linear equations
A. (-3,0)
B. (-3,3)
C. (0,2)
D. (3,1)