Zero is the middle point of a number line.
On the number line, all positive (natural numbers) numbers are on the right side of zero, while all negative numbers are on the left. A number's value lowers as we turn to the left. As an illustration, 1 is greater than -2.
A number line is a diagram of a graduated straight line used to represent real numbers in introductory mathematics. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point. [1]
The integers are frequently represented as specially designated, uniformly spaced dots on a line. It is frequently employed as a teaching tool for basic addition and subtraction, particularly when negative numbers are involved.
The number line may also be referred to as a real line or real number line in advanced mathematics.
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Find the volume of the prism
Answer:
5040
Step-by-step explanation:
Practice
Example 1
Use the graphs to determine the number of solutions the system
has. Then state whether the system of equations is consistent or
inconsistent and if it is independent or dependent.
1. y=x-1
y = -x + 1
3. y = x + 4
2x - 2y = 2
5. y = 0.5x
y=x+2
7. 2x - 2y = -4
-10x - 5y = 15
2. x-y=-4
y=x+4
4. y=2x-3
2x - 2y = 2
6. 4x+6y=12
2x + 3y = 6
8. 2x + 3y = 10
4x + 6y = 12
Period
GO Practice Spiral Review Extra Practice
Examples 2 and 3
Graph each system and determine the nu
.
2x+3y=6
y=x+4
x-y=-4
A
y=x-1
y=2x-3
2x+3y=10
y=x+2
Date
2x-2y=-4
.
2x-2y=2
y=-x+
y=0.5x
4x+6y=12
-10x-5y=15
Since the two equations are identical, they intersect in an infinite number of places. They are consistent and reliant as a result.
what is solution ?a value or set of values that, when used as a stand-in for one or more equation's variables, cause the equation to be true. a strategy or approach for resolving a problem, such as the solutions to the equation x2 = 4 being 2 and -2. a description of a resolution. to be more precise: a group of variable values that satisfy an equation. The equation 3(2)+5=11 states that 6+5=11 is accurate. So, the solution is 2.
given
y = 3x + 1
y = 3x + 1
The two equations are independent and consistent since they cross at a single precise location.
y = 3x + 1
y = x + 3
The two equations are independent and consistent since they cross at a single precise location.
y = x + 3
These two equations are incompatible because they do not intersect.
y = x + 3
To identify which line it is, rearrange the first equation into slope-intercept form.
Since the two equations are identical, they intersect in an infinite number of places. They are consistent and reliant as a result.
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ILLL GIVE YOU SO MANY POINTS (50 IF YOU ANSWER CORRECTLY AND MARK YOU BRAINLIEST BUT IF YOU DONT I WILL FLAG YOU
What is the probability that a point chosen at random in the given figure will be inside the larger triangle and outside the smaller triangle? Enter your answer, as a fraction in simplest form, in the box. P(inside larger triangle and outside smaller triangle) =
Answer:
Given:
Area of a triangle = (h*b) / 2
Area of smaller triangle = (4cm * 4cm) / 2 = 16cm² / 2 = 8 cm²
Area of larger triangle = (6cm * 10cm) / 2 = 60cm² / 2 = 30 cm²
30cm² - 8cm² = 22cm²
Probability that the point is inside the large triangle but outside the small triangle:
22cm² / 30cm² → 11/15 → 0.73 or 73%
Answer:
answering so you can give the other person brainiest! :0
Step-by-step explanation:
thanks for the points!
PLS HELP ME
Step-by-step explanation:
I'm not sure what has infinite x-intercepts
The diameter of a sphere is 16 cm. What is the sphere's volume? Round to the nearest tenth. A) 971.7 cm3 B) 1072.3 cm3 C) 1137.4 cm3 D) 2143.6 cm3
Answer:
A
Step-by-step explanation:
can somebody quickly answer this?
Lorraine prepared a 4.5-gallon pot filled with tomatoes to be canned in jars. Each jar will hold 1.25 quarts of tomatoes. If 1 gallon equals 4 quarts, how many jars can Lorraine fill?
Answer:10
Step-by-step explanation:
got the same question
The circular region of the sign (below, left) has an area of 154 square inches. Vanessa would like to place a tiny ribbon (shaded) around the circle's edge. To be sure she has enough ribbon, she decides to buy 2 inches more of the ribbon than the original circle's circumference. How many inches of ribbon will Vanessa need to buy if she estimates $\pi = 22/7 ?
Vanessa needs to buy 2*(22/7)sqrt(1547/22) + 2 inches of ribbon.
What is the area of circle?
The area of a circle is given by the formula: A = πr^2, where A is the area of the circle, π is a constant (approximately equal to 3.14) and r is the radius of the circle.
Given the area of the circular region is 154 square inches. We can use the formula to find the radius: 154 = πr^2
By substituting π = 22/7 we get:
154 = (22/7)r^2
Solving for r, we get:
r = sqrt(154*7/22)
The circumference of the circle is given by the formula C = 2πr, where C is the circumference and r is the radius.
By substituting the value of r we got before, we get:
C = 2πr = 2*(22/7)sqrt(1547/22)
To be sure she has enough ribbon, Vanessa decides to buy 2 inches more of the ribbon than the original circle's circumference. So she needs to buy:
C + 2 = 2*(22/7)sqrt(1547/22) + 2 inches
Hence, Vanessa needs to buy 2*(22/7)sqrt(1547/22) + 2 inches of ribbon.
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A person purchased an ounce of gold for $250 in January of 2000. The value of the
gold increased by 23% over the next 10 years. What is the growth factor?
1.35
0.75
0.23
0.64
What is the volume of this prism?
Answer:
17
Step-by-step explanation:
length*width*height=volume
5 * 2 * 1.7= 17
(a) Write an inequality for which 3, -4, 0, and 2,300 are solutions
(b) How many total solutions are there to your inequality?
(hurry)
The inequality be -4 ≤ x ≤ 2,300
If x is a real number, we have infinite solutions.
If x is an integer number, we have 2,305 solutions.
What is meant by inequality?A relationship that compares two numbers or other mathematical expressions in an unequal way is known as an inequality in mathematics. On the number line, it is most frequently used to compare the sizes of two numbers.
The term "inequality" in mathematics refers to a relationship between two expressions or values that is not equal to each other. Inequality originates from an imbalance, thus.
Let the given data be 3, -4, 0, and 2,300 are solutions.
If we order these numbers from smallest to largest, we get: {-4, 0, 3, 2,300}
Let the inequality be -4 ≤ x ≤ 2,300
The four values in the set {-4, 0, 3, 2,300} exists solutions for our inequality.
Here x exists a real number, then we contain infinite solutions.
If x exists an integer, then the total number of solutions will be equivalent to the number of negative solutions (4) and number of positive solutions (2,300)
the number zero (1)
We would have: 4 + 2,300 + 1 = 2,305 integer solutions.
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The inequality be -4 ≤ x ≤ 2,300
If x is a real number, we have infinite solutions.
If x is an integer number, we have 2,305 solutions.
What is meant by inequality?A relationship that compares two numbers or other mathematical expressions in an unequal way is known as an inequality in mathematics. On the number line, it is most frequently used to compare the sizes of two numbers.
The term "inequality" in mathematics refers to a relationship between two expressions or values that is not equal to each other. Inequality originates from an imbalance, thus.
Let the given data be 3, -4, 0, and 2,300 are solutions.
If we order these numbers from smallest to largest, we get: {-4, 0, 3, 2,300}
Let the inequality be -4 ≤ x ≤ 2,300
The four values in the set {-4, 0, 3, 2,300} exists solutions for our inequality.
Here x exists a real number, then we contain infinite solutions.
If x exists an integer, then the total number of solutions will be equivalent to the number of negative solutions (4) and number of positive solutions (2,300)
the number zero (1)
We would have: 4 + 2,300 + 1 = 2,305 integer solutions.
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I already got the answers for these but I wanted to check them. I’m supposed to find the area and use 3.14 for pi. Thanks.
Answer:
10.
A = 12² - 2(6×5)
A = 144 - 2×30
A = 144 - 60
A = 84 in²
11.
A = π(12/2)² - (π3² + 3×6)
A = π36 - (π9 + 18)
A = π36 - (π3² + 18)
A = 113.04 - (28.26 + 18)
A = 66.8 yd²
12.
A = 9² - (10×2 + π3²)
A = 81 - (20 + 28.26)
A = 81 - 48.26
A = 32.7 m²
What is the y-intercept of y= -3x + 6
The cost for bowling includes $4.00 for shoes and $4.75 for each
game bowled. Which equation represents the amount, in dollars, y,
for x games bowled?
Answer:
y = 4.75x + 4
Step-by-step explanation:
it would be $4.75 for each game and you would only pay for shows once
The equation that represents the amount, in dollars, y,
for x games bowled is y = 4.00 + 4.75x
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
The cost for bowling includes a fixed cost of $4.00 for shoes, and an additional cost of $4.75 for each game bowled.
y = 4.00 + 4.75x
This equation can be interpreted as follows: the fixed cost of $4.00 is added to the variable cost of $4.75 per game, multiplied by the number of games bowled (x).
The result is the total cost, represented by y
Therefore,
The total cost for x games bowled can be represented by the equation:
y = 4.00 + 4.75x
where y is the total cost in dollars, and x is the number of games bowled.
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What decimal is equivalent to - 3 1/8?
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{-3 \dfrac{1}{8}}\\\\\mathsf{= - \dfrac{23}{8}}\\\\\mathsf{-23\div8 }\\\\\mathsf{= \bf -2.875}\\\\\boxed{\boxed{\large\textsf{Answer: \huge \bf -2.875}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
What ordered pair is a solution to 5x -6y = -4
A. (3,-3)
B. (3,3)
C. (4,4)
Answer:
(4,4)
Step-by-step explanation:
5(4)-6(4)=-4
20-24=-4
-4=-4
Find the product: 0.054 x 0.3 = ? OA. 0.162 ( B. 0.62. O c. 0.0162 O D. 0.00162
Answer:
0.0162 is the answer.
Step-by-step explanation:
Finding the product in math means multiplication.
0.054 x 0.3 = 0.0162
A bag contains colored tiles.
.
3 tiles are red
6 tiles are green
3 tiles are blue
.
A tile will be randomly selected from the bag. What is the probability in decimal form that the
tile selected will be green?
0.05
5.0
0.50
0.55
Answer:
0.50
Step-by-step explanation:
3+3+6=12
6 is half of 12
50% in decimal form is .50
Unit 5: Systems of Equations & Inequalities
Homework 3: Solving Systems by Elimination (Day 1)
Therefore , By dividing by the constant shown to the right, you can change any equation into intercept form:
=> x/3 + y/3 = 1 => x/1.2 +y/(-1) = 1
Equation: What is it?A mathematical equation is a formula that joins two statements with the equal sign, or =, to express equality. All mathematical formulas, including equations, have an equal sign. Algebra is frequently utilized in equations. Algebra is used in mathematics when we don't know the exact quantity to compute. A mathematical statement demonstrating the equality of two mathematical expressions is the definition of an equation in algebra. For instance, the variables 3x + 5 and 14 are separated by an equal sign in the equation 3x + 5 = 14.
Here,
Any equation can be changed to intercept form by dividing by the constant on the right:
=> x/3 + y/3 =1
=> x/1.2 + y/(-1) = 1
These inform you that only graph A is appropriate because the x- and y-intercepts of the first equation are 3 in this case. Given that it has an x-intercept of 1.2 and a y-intercept of -1, the second equation also matches with graph A.
Therefore , By dividing by the constant shown to the right, you can change any equation into intercept form:
=> x/3 + y/3 = 1 => x/1.2 +y/(-1) = 1
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Given that ABC is a straight angle, if ABD measures 75°, then DBC
measures ____°.
Answer: 105
Step-by-step explanation: ABC is an 180 degree angle, and the ABD is 75, so 180-75 is 105!
Josh exercises no less than 40 minutes per day.
Use t to represent Josh's amount of exercise (in minutes per day).
Answer
x ≥ 40
Step-by-step explanation:
Since Josh only exercises more or equal to 40 min, this is how you would represent this problem.
You roll a six-sided number cube and flip a coin.What is the probality of rolling a number less than 2 and flipping heads
Answer:
1 / 12
Step-by-step explanation:
A six - sided coin :
Sample space = (1, 2, 3, 4, 5, 6)
Flipping a number less Than 2
Required outcome = (1)
P(number less Than 2) = required outcome / sole space = 1 / 6
Flipping a head from a coin toss :
Sample space = (H, T)
P(head) = 1 /2
P(number less Than 2 and flipping head) :
= 1/2 * 1 /6
= 1 / 12
What is the solution to the system of equations 3x 2y 7 and Y 3x 11?
The solution of the given system of equations is x = -7/3 and y = 7.
The given system of equations is given as,
3x + 2y = 7
y = 3x + 11
To solve this system of equations, we need to eliminate one of the variables. We can eliminate y by subtracting the second equation from the first.
3x + 2y = 7
y = 3x + 11
⇒ 3x + 2y - y = 7 - 11
⇒ 3x + 2y - 3x - 11 = -4
⇒ 2y - 11 = -4
⇒ 2y = -4 + 11
⇒ 2y = 7
Now, substitute the value of y in the first equation to find the value of x.
3x + 2(7) = 7
⇒ 3x + 14 = 7
⇒ 3x = 7 - 14
⇒ 3x = -7
⇒ x = -7/3
Therefore, the solution of the given system of equations is x = -7/3 and y = 7.
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Find the new amount.
I had 425 baseball cards and I sold 20% of them.
How many do I have left?
Answer:
425-(425×0.2)
425-85
340
Answer:
340 baseball cards
Step-by-step explanation:
You sold 20% of 420, therefore,
425 - 20% * 425 = 340
You have 340 baseball cards left.
Thenks and mark me brainliest :)
help.pls it is urgent.
Answer:
b=50
c=28
a=16
Step-by-step explanation:
A taxicab company charges $2.30 plus $0.80 per mile. Carmen paid a fare of $11.90. Enter and solve an equation to find the number of miles she traveled. Use m as your variable.
The number of miles the taxicab traveled is 12.
The area of mathematics known as algebra aids in the representation of circumstances or problems into mathematical expressions. To create a meaningful mathematical expression, it takes variables like x, y, and z together with mathematical operations like addition, subtraction, multiplication, and division.
Given that,
The fixed charges = $ 2.30
Additional charges per miles = $ 0.80,
Thus, the additional charges for x number of miles = $ 0.80x
So, the total charges for x number of miles = Fixed charges + additional charges
=> 2.30 + 0.80x
According to the question,
2.30 + 0.80x = 11.90 (this is the required equation)
Subtracting 2.30 from both sides,
0.80x = 9.6
Dividing both sides by 0.80
x = 12
Hence, the taxicab traveled 12 miles.
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Solve the inequality n - 4/7> - 2/3
Answer:
N > -2/21
Step-by-step explanation:
Move -4/7 to the other side
n - 4/7 > - 2/3
n > - 2/3 + 4/7
Find a common denominator
n > - 14/21 + 12/21
Add
n > - 2/21
Arturo has 9 cups of dog food he gives his dog 1/3 cup of food at each meal how many meals does Arturo have for his dog
Answer:
27 meals
Step-by-step explanation:
Divide 9 cups by (1/3 cup per meal):
9 cups 9 3
--------------------- = ----- * ----- meals = 27 meals
1/3 cup / meal 1 1
Recall that division by a fraction is equivalent to multiplying by the reciprocal of that fraction: Division by 1/3 is equivalent to multiplying by 3/1.
The volume of a right circular cylinder is represented by V = πr ²h
where r is the radius of the base (in feet). What is the radius of a right
circular cylinder when the volume is 144 π cubic feet and the height
is 9 feet?
The linear factors of the cubic are .
Answer:
(x-2)(x - 3)(x - 5)
(x - 2)(x-3)(x - 5)(x + 5)
(x + 2)(x + 3)(x + 5)
(x + 2)(x+3)(x - 5)
Answer:
first option
Step-by-step explanation:
(x-2)(x-3)(x-5)
subtract: 4x/x^2-25 - 2/x^2+2x-15
a. 4x^2-14x+10/(x+5)(x-3)
b. 4x^2-14x-10/(x-5)(x+5)(x-3)
c. 4x^2-14x-10/(x-5)^2(x-3)
d. 4x^2-14x-10/(x-5)(x+5)(x-3)
Answer: [tex]\dfrac{4x^2-14x+10}{(x-5)(x+5)(x-3)}[/tex]
Step-by-step explanation:
Given
Subtract the expression
[tex]\Rightarrow \dfrac{4x}{x^2-25}-\dfrac{2}{x^2+2x-15}\\\\\Rightarrow \dfrac{4x}{(x-5)(x+5)}-\dfrac{2}{x^2+5x-3x-15}\\\\\Rightarrow \dfrac{4x}{(x-5)(x+5)}-\dfrac{2}{(x+5)(x-3)}\\\\\text{Take the LCM and subtract}\\\\\Rightarrow \dfrac{4x(x-3)-2(x-5)}{(x-5)(x+5)(x-3)}\\\\\Rightarrow \dfrac{4x^2-12x-2x+10}{(x-5)(x+5)(x-3)}\\\\\Rightarrow \dfrac{4x^2-14x+10}{(x-5)(x+5)(x-3)}[/tex]