The required inequality is -6<x<8
What is an inequality?An inequality is an inequation separated by <,>≥,≤. In Mathematics, the relationship between two values that are not equal is defined by inequalities. Inequality means not equal. Generally, if two values are not equal, we use “not equal symbol (≠)”. But to compare the values, whether it is less than or greater than, different inequalities are used.
Given here: A number x is more than -6 and at most 8.
Clearly we can infer that the number lies between the interval (-6,8)
Thus we can construct the inequality for x as
-6<x<8 or x has 11 integral values
Hence, The required inequality is -6<x<8
Learn more about inequalities here:
https://brainly.com/question/28823603
#SPJ2
Prove that acceleration is perpendicular to velocity
An office uses 478 pounds of paper in one week. The paper comes in packages that hold 18 pounds of paper each. How many packages of paper does the office use each week?
The office uses 26 and a half package of papers.
What is division?Division is the process of splitting a number or an amount into equal parts.
Given that, An office uses 478 pounds of paper in one week. The paper comes in packages that hold 18 pounds of paper each.
To find the number of packages of paper, the office use each week, we will divide the total paper used in one week to paper in 1 package
Therefore, the number of packages of paper, the office use each week = 478 / 18 = 26.5
That means they are using 26 package plus a half package in one week.
Hence, The office uses 26 and a half package of papers.
For more references on division, click;
https://brainly.com/question/21416852
#SPJ2
two cruise ships are sailing towards each other from caribbean islands that are 264 km apart, one ship travels 4 km/h faster than the other. if they both started at the same time. and meet after 6h. how fast is the other ship travelling?
The slower ship is traveling at a speed of 21 km/h, while the faster ship is traveling at a speed of 25 km/h.
Explanation:This is a mathematics problem that involves solving for unknown speeds with the given conditions. Lets assume the speed of the slower ship is x km/h. Thus, the speed of the faster ship is x+4 km/h. They are moving towards each other, thus their combined speed is (x+x+4) km/h. As speed is distance over time, we can set up the equation: (2x+4)*6 = 264. Solving this equation, we end up with x=21 km/h as the speed of the slower ship, and hence the speed of the faster ship is 25 km/h.
Learn more about Speed Calculation here:https://brainly.com/question/19930939
#SPJ2
Find the equation of the line that is perpendicular to the line 3x-y=-4 and contains the point (-2,4)
F= 9/5C + 32, solve for F please.
3(b-4)=5b-2 plz help I'm confused
Which does not describe the same situation?
Answer:
4. Option 3rd.
Step-by-step explanation:
In this question, three options are given.
We need to describe the same situation.
First option: y = 3 + 6x
this equation represent the equation of a line. In that line all the points are related with each other with same relation.
So, this equation describe the same situation.
Second equation:
y is two more than six times x.
We write this situation in equation form.
y = 6x + 2
this is also describe the same situation.
Third option:
this table shows the x-y relation table.
Here no two points are describe the same situation.
So, option 3rd doesn't describe same situation.
Question 5:
Please share the options
Answer:
Step-by-step explanation:
It is A
Cynthia besch wants to buy a rug for a room that is 18 ft wide and 30 ft long. she wants to leave a uniform strip of floor around the rug. she can afford to buy 220 square feet of carpeting. what dimensions should the rugâ have?
1) Write the sum or difference in the standard form a + bi. (2 points)
( 7 + 5i) - ( -9 + i)
a) 16+4i
b) -16-4i
c) 16-4i
d) -2+6i
2) Write the product in standard form. (2 points)
( 7 + 7i)( 6 + 7i)
a) -7 + 91i
b) 49i2 + 91i + 42
c) 91 - 7i
d) -7 - 91i
3) Find the product of the complex number and its conjugate. (2 points)
1 + 3i
a) 1 + 9i
b) 10
c) -8
d) 1-9i
4) Write the expression in standard form. (2 points)
three divided by quantity three minus twelve i.
a) - one divided by seventeen. + four divided by seventeen. i
b) one divided by seventeen. - four divided by seventeen. i
c) - one divided by seventeen. - four divided by seventeen. i
d) one divided by seventeen. + four divided by seventeen. i
5) Find the real numbers x and y that make the equation true. (2 points)
5 + yi = x + 3i
Ohhhhh! I have a Brainliest!
Is 1.34 a non-terminating decimal
What is the area of the polygon below
A circle and a square have the same area. find the length of the diagonal of the square divided by the radius of the circle.
Let us say that the square have edge = sqrt(pi), then its area is pi since A = edge^2, and therefore the diagonal is pi*sqrt(2).
Meanwhile the circle of radius 1 has area pi since area of circle is A = pi *radius^2.
Therefore we get that the diagonal of the square divided by the radius is:
diagonal / radius = pi*sqrt(2) / 1 = pi*sqrt(2)
A train travels 750 miles in 15 hours. which unit rate describes the speed of the train?
a. 50 miles per hour
b. 75 miles per hour
c. 150 miles per hour
d. 350 miles per hour
The length of a rectangle is 3 meters less than twice the width. if the area of the rectangle is 527 square meters, find the dimensions.
Answer:
w=17
l=31
Step-by-step explanation:
correct
2+1/6y=3x+4 solve for y
the table represent a linear function
X Y
-2 -2
-1 1
0 4
1 7
2 10
what is the slope of the function?
-3
-2
3
4
Answer:
The answer is 3.
Step-by-step explanation:
In order to determine the slope of the function, we have to know about linear function.
In any linear function, we can get its slope using two pairs of coordinates that belong to the linear function.
m=Slope of the linear function.
P1=(x1,y1)=First pair of coordinate.
P2=(x2,y2)=Second pair of coordinate.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
In this case, we have many pairs of coordinates, so we choose two of them:
[tex]P_1=(-1,1)\\P_2=(0,4)[/tex]
Then, we replace them in the slope formula:
[tex]m=\frac{4-1}{0-(-1)}=\frac{3}{1}=3[/tex]
Finally, the slope of the function is 3.
Which statement is true about the difference 2√7-√28
Use the converse of the pythagorean theorem to determine whether the triangle with the given vertices is a right triangle. (2, 1)(6, 4), (–4, 9)
At a toy factory, toy cars are produced on an assembly line. It takes 8.216 seconds to attach the wheels. It takes 3.652 seconds to attach the hood. How long does it take to attach the wheels and hoods on 42 toy cars
At a toy factory, it takes 498.456 seconds to attach the wheels and hoods on 42 toy cars.
We have been given that toy cars are manufactured on an assembly line in a toy factory. Attaching the wheels takes 8.216 seconds. Attaching the hood takes 3.652 seconds.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
* Multiplication operation: Multiplies values on either side of the operator
For example 12×2 = 24
To determine the time it takes to attach the wheels and hoods on 42 toy cars
According to the given condition, the arithmetic form would be as
⇒ 42 × (8.216 + 3.652)
Calculate the sum of the difference to get,
⇒ 42 × (11.868)
Apply the multiplication operation, and we get
⇒ 498.456
Therefore, it takes 498.456 seconds to attach the wheels and hoods on 42 toy cars.
Learn more about Arithmetic operations here:
brainly.com/question/25834626
#SPJ5
You have 6 green marbles, 23 blue marbles, and 18 red marbles. what is the probability of choosing a red marble. express your answer as a fraction in lowest terms.
How do i factor -1/2 out of -1/2x + 6
If 5 people including mary and bob are arranged randomly in a line, what is the probability that mary and bob are next to one another?
the total points scored in a basketball game can be calculated using the expression 3c - 3 if c = 41, how many points total were scored
Answer:
its actually 126
Step-by-step explanation:
The total points scored in the basketball game is 120 points.
Explanation:To find the total points scored in a basketball game, we can use the expression 3c - 3. Given that c is equal to 41, we can substitute this value into the expression to calculate the total points.
So, 3c - 3 = 3(41) - 3 = 123 - 3 = 120.
Therefore, a total of 120 points were scored in the basketball game.
What is the definition of proof in geometry
A restaurant bill before tax is 65.50.if the sales tax is 8% and the a 18% tip is added what is the total cost
A number sentence is said to be true if both numerical expressions are
Assume that lines that appear to be parallel are parallel. Find the value of x and the measure of angle y
Answer:
The answer would be (14x-34) + y = 90.
Step-by-step explanation:
Reflection : Across the line y = 1
Reflecting across y = 1 means each point's position stays the same horizontally but mirrors vertically across the line.
When reflecting a point or shape across a line, y = 1,
it means that each point is mirrored on the other side of the line while maintaining the same distance from the line.
Here, the line y = 1 acts as a "mirror" or "axis of reflection."
To reflect a point (x, y) across the line y = 1, follow these steps:
Find the vertical distance between the point and the line y = 1. Let's call this distance "d."
If the point is above the line (y > 1), then d = y - 1.
If the point is below the line (y < 1), then d = 1 - y.
Move the point to the same vertical distance on the other side of the line y = 1.
If the point was above the line (y > 1), the new reflected point will be (x, 1 + d).
If the point was below the line (y < 1), the new reflected point will be (x, 1 - d).
Keep in mind that the x-coordinate remains the same in both cases since the line of reflection is vertical (parallel to the y-axis).
By repeating these steps for all points in a shape, obtain the reflection of the entire shape across the line y = 1.
learn more about line here
brainly.com/question/11669778
#SPJ6
Hanks pickup can travel 60miles on 4gallons of gas. How many gallons will hanks pickup need to travel 30miles?