Answer:
x= 2.5 and -3.5
Step-by-step explanation:
To solve the equation Ix+1/2I=3, we can break it down into two cases: one where x+1/2 is positive, and one where x+1/2 is negative.
Case 1: x+1/2 is positive
In this case, the absolute value of x+1/2 is equal to x+1/2 itself. So we can rewrite the equation as x+1/2=3. To solve for x, we subtract 1/2 from both sides: x=3-1/2. Simplifying further, we have x=2.5.
Case 2: x+1/2 is negative
In this case, the absolute value of x+1/2 is equal to -(x+1/2). So we can rewrite the equation as -(x+1/2)=3. To solve for x, we first distribute the negative sign: -x-1/2=3. Then, we add 1/2 to both sides: -x=3+1/2. Simplifying further, we have -x=3.5. To isolate x, we multiply both sides by -1: x=-3.5.
So, the solution to the equation Ix+1/2I=3 is x=2.5 and x=-3.5.
Solve below pls show work
Answer:
i believe its 90cm^2
Step-by-step explanation:
20x3/4=15 (reduce side 1)
8x3/4=6 (reduce side 2)
6x15=90 (multiply the sides to find the area)
Find the probability of neither showing
multiple of 3 nor multiple of 4 on the second die
Answer:
the probability of neither showing a multiple of 3 nor a multiple of 4 on the second die is 17/36, or approximately 0.4722
Step-by-step explanation:
To find the probability of neither showing a multiple of 3 nor a multiple of 4 on the second die, we need to first determine the sample space of possible outcomes.
The sample space of rolling two dice is given by all possible pairs of numbers from 1 to 6, which has a total of 6 x 6 = 36 possible outcomes.
Out of these 36 possible outcomes, there are 12 outcomes where the second die shows a multiple of 3 (namely 3, 6, and 9), and 9 outcomes where the second die shows a multiple of 4 (namely 4 and 8).
However, we must note that there are two outcomes where the second die shows both a multiple of 3 and a multiple of 4, namely (3,4) and (6,4). We need to subtract these two outcomes from our total count.
Therefore, the number of outcomes where the second die shows a multiple of 3 or a multiple of 4 or both is 12 + 9 - 2 = 19.
The number of outcomes where the second die does not show a multiple of 3 or a multiple of 4 is the complement of the above count, which is 36 - 19 = 17.
Therefore, the probability of neither showing a multiple of 3 nor a multiple of 4 on the second die is 17/36, or approximately 0.4722.
How many faces does a square pyramid not including it's base
Answer: A square pyramid has 5 faces, 8 edges, and 5 vertices.
Step-by-step explanation:
The required answer is a square pyramid (excluding the base) has four faces. A square pyramid consists of a square base and triangular faces that meet at a common vertex.
To determine the number of faces excluding the base, we can follow these steps:
Step 1: Identify the number of triangular faces.
In a square pyramid, there are four triangular faces that connect each corner of the square base to the apex (the top vertex). These triangular faces do not include the base.
Step 2: Determine the total number of faces.
In addition to the triangular faces, we need to consider the base of the pyramid. The base is a square, and it is not counted when we exclude the base. Therefore, the number of faces excluding the base is the same as the number of triangular faces.
Step 3: Calculate the number of faces.
Since we determined that a square pyramid has four triangular faces, the square pyramid (excluding the base) has four faces.
Hence, a square pyramid (excluding the base) has four faces. A square pyramid consists of a square base and triangular faces that meet at a common vertex.
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Pls solve and show each step
Thx
The perimeter of triangle MNO is given as follows:
17.2 in.
What are similar triangles?Similar triangles are triangles that share these two features listed as follows:
Congruent angle measures, as both triangles have the same angle measures.Proportional side lengths, which helps us find the missing side lengths.Applying the Pythagorean Theorem, the side length x of triangle MNO is given as follows:
x² = 4² + 6²
x² = 52
x = square root of 52
x = 7.2 in.
Hence the perimeter of triangle MNO is given as follows:
4 + 6 + 7.2 = 17.2 in.
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Please answer the question
Answer:
the water tower is 143 3/4 feet
Step-by-step explanation:
5ft 9in height
4ft silhouette
Convert 9in to ft = 9/12 so height = 5 9/12 = 23/4
Ratio of height to silhouette is (23/4) / 4
X = 100 the height of the building
Set up a proportion (23/4)/4 = X/100
X = 143 3/4 ft
PLEASE HELP! DUE TODAY
Answer: Count all the sides and the answer will be 4.5+2+2+4+5.5+1.5+1+7.5, which is equal to 26.5 (I think, I didn’t use a calculator)
The perimeter of the figure shown on the coordinate plane is 56 units.
What is Perimeter?Perimeter of a straight sided figures or objects is the total length of it's boundary.
Given is a figure.
Perimeter of a figure is the total length of the boundary.
We have to find the length of each of the sides and then add it to get the perimeter.
Each line on the coordinate plane represents 2 units.
Perimeter adding the sides from the bottom, we get,
Perimeter = 2 + 3 + 11 + 8 + 4 + 4 + 9 + 15
= 56 units
Hence the perimeter of the figure is 56 units.
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When the fraction below is written as a decimal, how many digits are in the smallest sequence of repeating digits?
1/11
A. 0
B. 1
C. 2
D. 3
Answer:
Step-by-step explanation:
D
A train is early 1/6 of the time, on time 1/2 of the time, and late 1/3 of the time. Doreen wants to know the probability that the train will be late two times in a row. Explain how two 1-6 number cubes can be used to simulate this situation.
Answer:
Step-by-step explanation:
1/2 = 3/6 (on time)
1/3 = 2/6 (late)
1/6 = 1/6 (early)
3 times 2 is 6. You need the same denominators. What you do to the bottom you do to the top. So, 3x2=6 and 1x2=2. Therefore, you have 2/6. The 2 cubes can be used to show the probability of the train being late because we now know it is late 2/6 times and either early or on time 4/6 times.
Find the probability of showing either
prime number on the first die or multiple of 5 on the second die
Step-by-step explanation:
The sample space for rolling two dice consists of 36 possible outcomes, as each of the six faces on the first die can be combined with any of the six faces on the second die.
To find the probability of showing either a prime number on the first die or a multiple of 5 on the second die, we can use the principle of inclusion-exclusion.
There are 3 prime numbers on a standard die: 2, 3, and 5. And there are two multiples of 5: 5 and 10. However, we need to be careful not to count the outcome (5,5) twice, as it satisfies both conditions.
So, the probability of showing either a prime number on the first die or a multiple of 5 on the second die is:
P(prime or multiple of 5) = P(prime) + P(multiple of 5) - P(prime and multiple of 5)
P(prime) = 3/6 = 1/2
P(multiple of 5) = 2/6 = 1/3
P(prime and multiple of 5) = 1/36
Therefore,
P(prime or multiple of 5) = 1/2 + 1/3 - 1/36
= 19/36
So the probability of showing either a prime number on the first die or a multiple of 5 on the second die is 19/36, or approximately 0.528.
Please answer the question
Answer: x=1
Step-by-step explanation:
Since the angles are vertical that means they have to be equal.
So we can set the two equations equal to each other.
10 - x = 4x + 5
10 = 5x + 5
5 = 5x
x=1
Answer:
10 - x = 4x + 5
10 - 5 = 4x - x
5 = 3x
x = 1.6
x = 1.6
angle 1 = 10-1.6
= 8.4
angle 2 = 4(1.6)+5
= 11.4
help me it due in 30 min
Answer:
(geometry) A parallelogram having all sides of equal length
30 PTS PLS HELP ME One computer desk is located at (7, 2) on the map. Another is located at (7, -8). How many feet separate the two computer desks? Explain or show how you got your answer.
We know already that desk A and desk B are on the same column, since both coordinates' x factors are 7. So all we need to do now is find the difference of 2 and -8. So, we get the [very simple] equation [tex]2 - (-8) = d[/tex]. Now, when you subtract a negative, it's pretty much just adding, so we can simplify this equation to [tex]2 + 8 = d[/tex], and we all know [tex]2 + 8 = 10[/tex]. So the distance between the two desks is 10 units.
Hope this helps! If there is anything wrong feel free to point it out.
Have a nice day!
So the distance between the two desks is 10 units.
Step-by-step explanation:
desk A and desk B are on the same column, since both coordinates' x factors are 7. So all we need to do now is find the difference of 2 and -8. so we can simplify So the distance between the two desks is 10 units.
HOPE THIS HELPS HAVE A GREAT DAY GOODLUCK
A plane intersects a right rectangular pyramid. The base of the pyramid has a length that is twice its width. Which of the following shapes could describe the intersection of the plane and the pyramid?
Responses
a square
a triangle
a trapezoid
a non-square rectangle
a non-regular pentagon
Answer: CCCCCCCCC
Step-by-step explanation:
The equation y=2000x represents the number of miles, y, that the satellite Space Explorer flies in x hours. Find the rate of change.
Answer: 2000 miles in 1 hour.
2-step equation(explination need please and thank you )
x-4/3>10
Answer:
x > 7.5
Step-by-step explanation:
1. Multiply the reciprocal of 4/3 to both sides (3/4)
- x> 10/1 x 3/4
- x >30/4
2. Simplify the equation:
- x > 30/4
- x > 7 2/4
7 2/4 - 7.5
ANSWER = x > 7.5
find the area of the faces of the prism
Answer:
I think it's 90
Step-by-step explanation:
multiply base x height (9x5)
which = 45
and then multiply that by 2
which = 90
i hope this helped.
Martin charges $10 for every 5 bags of leaves he rakes. Last weekend, he raked 24 bags of leaves. Complete the diagram and the equivalent rates to find how much he earned.
solve systems using elimination (x + 5y= 28) ( -x - 2y = -13)
Answer:
5
Step-by-step explanation:
5y=28-x
x=-2y+13
5y=28+2y-13
5y=15+2y
3y=15
y=5
Darrel has 200 cm2 of wrapping paper. Which object below can be wrapped with the least amount of paper left over?
The answer should be C, please tell me if I'm wrong.
Answer:
C
Step-by-step explanation:
Ok yea
The area of this figure = _______ m2.
a right triangle with long side of 11 meters, short side of 7 meters
5.0
38.5
18.0
77.0
Answer:
area=38.5 m^2
Step-by-step explanation:
11×7=77
77÷2=38.5
area=38.5m^2
The dot plot below represents how long it takes students in an 8th grade math class to get to school every morning. please help me
Answer:
40
Step-by-step explanation:
Highest Value in the data set - Lowest Value in the data set = Range, so...
45 minutes - 5 minutes = 40 minutes
WILL GIVE BRAINLIESTT!! 13 Points! HURRYYY! Madison is monitoring the temperature over several hours.
Loook at pic attachment.
Her data are shown in the table. She draws a line of best fit with the equation y = -6.2x + 64, where x represents the hour and y represents the temperature.
Describe the meaning of the slope and y-intercept in this context
A. The slope applied to this situation is the temperature drops 6.2 degrees per hour. The y-intercept means at hour 0 (start of recording data), it was a temperature of 64 degrees
B. The slope applied to this situation is the temperature drops 6.2 degrees per hour The y-intercept means at hour 1, it was a temperature of 6.2 degrees
C. The slope applied to this situation is the temperature drops 64 degrees per hour. The y-intercept means at hour 0, it was a temperature of 6.4 degrees
D. The slope applied to this situation is the temperature drops 6.2 degrees per 2 hours. The y-intercept means at hour 2, it was a temperature of 64 degrees
Answer:
Step-by-step explanation:
The correct answer is A.
In the context of this situation, the slope of -6.2 means that the temperature drops 6.2 degrees for every hour that passes. The negative sign indicates that the temperature is decreasing over time.
The y-intercept of 64 means that at hour 0 (the start of recording data), the temperature was 64 degrees. This is the initial value of the temperature, before any time has passed.
The slope and y intercept describes that
The slope applied to this situation is the temperature drops 6.2 degrees per hour. The y-intercept means at hour 0 (start of recording data), it was a temperature of 64 degrees.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
We have,
The line of best fit with the equation y = -6.2x + 64, where x represents the hour and y represents the temperature.
As, we know that the slope shows the rate of change of one quantity with respect to another quantity.
Here, the slope -6.2 tells us that the temperature drops 6.2 degrees per hour.
and, the y intercept tells us that at 0 hour the temperature is 64 degree.
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Question Solve for x. −43x+16<79 Drag and drop a number or symbol into each box to correctly complete the solution. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. x Response area Response area
Answer:
Step-by-step explanation:
Please Help Me This is due today
Answer:
A
Step-by-step explanation:
the formula is A=πr2!!! So since diameter is 10, 10/2 = 5 that means 5 is the radius, 5^2 = 25, 25*π = 78.54
Your welcome!
Four points are drawn on the coordinate plane and connected with straight lines to form a rectangle. Three of the vertices of the rectangle are located at (2, 1), (2, 4), and (-4, 4). What are the coordinates of the fourth vertex of the rectangle? What are the dimensions of the rectangle? What is the area of the rectangle?
To find the fourth vertex of the rectangle, we can start by drawing a diagram:
========================================
|
| (2,4)
|
--------.--------
|
(?, ?) | (2,1)
|
========================================
We know that opposite sides of a rectangle are parallel, so the fourth vertex must be located on the same horizontal line as the point (2, 1) and the same vertical line as the point (-4, 4). Therefore, the fourth vertex must be located at (-4, 1).
To find the dimensions of the rectangle, we can find the distance between the points (2, 1) and (2, 4) to get the length of one side, and the distance between the points (2, 1) and (-4, 1) to get the length of the other side.
Length = 4 - 1 = 3
Width = 2 - (-4) = 6
So the dimensions of the rectangle are 6 by 3.
To find the area of the rectangle, we can multiply the length and width together:
Area = Length x Width = 6 x 3 = 18 square units.
Pls solve with all steps shown
Answer:
just do 4in + 2.5 and 5 + 2.5
Step-by-step explanation:
4+2.5=6.5 and 5 + 2.5=7.5
Which angle is complementary to CFD?
Answer:
Step-by-step explanation:
Of the students at Milton Middle School, 216 are girls. If 60% of the students are girls, how many total students are there at Milton Middle school?
you will be the brainliest
Answer:
360
Step-by-step explanation:
x*60/100=216
60x=21600
x=21600/60
x=360
360 students are thee in Milton Middle School.
Step-by-step explanation:Number of girls in Milton Middle School = 216
Percentage of girls in Milton Middle School = 60%
From the above information we can know that 216 = 60% of Milton Middle School.
1% of students in the school = 216/60
= 3.6
100% of students in the school = 3.6 * 100
= 360 students
Total number of students in Milton Middle School = 216/60 * 100
= 216/6 * 10
= 36 * 10
= 360 students
Please mark my answer as the BRAINLIEST. Plsssssssssssssssss
Hope my answer helps you.
:)
Is this figure a polygon? Explain.
Answer: No.
Step-by-step explanation:
A polygon is a closed shape with no curved side. We see four curved sides in this shape, so this figure is not a polygon.
I need help this is due today