the expression x + (x - 5) can be used to determine how many apples Martin and Omar used in total. It helps us understand that Martin used more apples than Omar and that the number of apples in total is greater than 10.
a. Let x represent the number of apples that Martin used.
The expression is x + (x - 5).
b. We can substitute 10 for x in the expression to see if it is possible for Martin to have used 10 apples: 10 + (10 - 5). The answer is 15, which is greater than 10, so it is not possible for Martin to have used 10 apples.
Martin and Omar both used apples in their recipes, but Omar used 5 fewer apples than half as many as Martin used. To represent the number of apples that they used altogether, we can use an expression that includes a variable x, which represents the number of apples that Martin used. The expression is x + (x - 5). To check if Martin could have used 10 apples, we can substitute 10 for x in the expression: 10 + (10 - 5). The answer is 15, which is greater than 10, so it is not possible for Martin to have used 10 apples. Therefore, the expression x + (x - 5) can be used to determine how many apples Martin and Omar used in total. It helps us understand that Martin used more apples than Omar and that the number of apples in total is greater than 10.
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If a battery has a radius of 4 millimeters and a height of 32 millimeters, approximately what is the area of the surface to be covered by the label? Use 3.14 for and round to the nearest hundredth.
The surface area to be covered by the label is 904.32 mm²
Assuming the shape of the battery is cylindrical.
The dimensions of the cylindrical battery:
radius r = 4 millimeters
height h = 32 millimeters
We know that the formula for the surface area of cylinder is:
A = 2πrh + 2πr²
where r is the radius of the cylinder and h is the height of the cylinder
Using this formula of surface area of cylider, the surface area to be covered by the label would be,
A = 2πr(h + r)
A = 2π × 4 × (32 + 4)
A = 2 × 3.14 × 4 × 36
A = 904.32 mm²
Thus, the required area = 904.32 sq. mm.
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Please help now asappp
The segments that provided result in true statement are:
NO/KL=PN/KM
Because PN and KM are in the same position of each triangle.
About middle segmentThe middle segment of a triangle connects the midpoints of the two sides of the triangle
The middle part of a triangle theorem states that the middle part of a triangle is parallel to one side of the triangle and its length is half that side.
There are several propositions that apply to triangles:
(1) Theorem of the midpoint of the triangle
The line segment connecting the midpoints of the two sides of a triangle is parallel to the third side and half the length of the third side.
(2) Intercept Theorem
If two or more parallel lines are cut by two intersecting lines, then the ratio of the first intersecting line segments is equal to the ratio of the like segments of the second intersection.
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charlie drove to the mountains last weekend. there was heavy traffic on the way there, and the trip took hours. when charlie drove home, there was no traffic and the trip only took hours. if his average rate was miles per hour faster on the trip home, how far away does charlie live from the mountains?
If his average rate was miles per hour faster on the trip home, Charlie lives 480 miles from the mountain.
Let s = his speed to the mountains,
(s+20) = his return speed
The distance each way is the same,
Using the formula,
Distance = speed * time
12s = 8(s+20)
12s = 8s + 160
12s - 8s = 160
4s = 160
s = 160/4
s = 40 mph
So his speed to the mountain is 40mph
then,
Putting the values of speed and times we get,
40 * 12 = 480 miles to the mountains
Therefore, distance between charlie and the mountains is 480 miles.
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x − y = 8 x + 4 y = 13
Answer:
x=9, y=1
Step-by-step explanation:
Give brainlist, please
a bike tire was 1/2 full it took a small air compressor 3 1/3 seconds to fill it up how long would it have taken to fill a empty tire
Answer:7 seconds
Step-by-step explanation:
it would take 7 seconds second to fill in a inTIRE empty bike
3 1/2 *2=7
which of the following compound conditions are equivalent to the following nested conditionals? if (x > 200): if (y < 200): i. ((x > 200) and (y < 200)) ii. (x > 200 and y > 200) iii. not ((x
the expression are equivalent compound condition for the nested conditionals is (x > 200) and (y < 200).
ii. The equivalent compound condition for the nested conditionals is not (x > 200 and y > 200).
iii. The equivalent compound condition for the nested conditionals is not ((x ≤ 200) or (y ≥ 200)).
The equivalent compound conditions for the given nested conditionals are as follows:
i. The compound condition (x > 200) and (y < 200) is equivalent to the nested conditionals if (x > 200): if (y < 200). This is because the compound condition requires both conditions to be true for the condition to be satisfied.
ii. The compound condition not (x > 200 and y > 200) is equivalent to the nested conditionals if (x > 200): if (y < 200). This is because the compound condition requires both conditions to be false for the condition to be satisfied.
iii. The compound condition not ((x ≤ 200) or (y ≥ 200)) is equivalent to the nested conditionals if (x > 200): if (y < 200). This is because the compound condition requires both conditions to be false for the condition to be satisfied.
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A bricklayer needs to order 6300 kg of building sand.
a) Write 6300 kg in grams, giving your answer in standard form.
One grain of this sand approximately weighs 7 x 10*g.
b) How many grains of sand are there in 6300 kg of sand?
Give your answer in standard from.
The standard form of 6300 kg in grams is 0.63 x [tex]10^7[/tex] g.
There are 90000 grains in 6300 kg of sand.
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
Example:
1 minute = 60 seconds
1 km = 1000 m
We have,
6300 kg
Now,
1 kg = 1000 g
So,
6300 kg = 6300 x 1000 g
6300 kg = 63 x [tex]10^5[/tex] g
6300 kg = 0.63 x [tex]10^7[/tex] g
Now,
One grain = 7 x 10 g
So,
Number of grains in 0.63 x [tex]10^7[/tex] g.
= 0.63 x [tex]10^7[/tex] ÷ 7 x 10
= 90000
Thus,
0.63 x [tex]10^7[/tex] g is the standard form.
90000 grains.
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solve the following systems of linear equations by graphing
x=4 and y=-3/2x - 2
Answer: -8
Step-by-step explanation: I did long division for 3/2 = -1.5 now I have to mutiply -1.5 x 4 = -6 - 2 = -6 + (-2) which now eqauls negative 8
A scuba diver is hired to take underwater photos. He begins swimming straight downward from an elevation of -5 meters relative to sea level. His elevation changes at a constant rate of 2.5 meters per minute. When he stops, his camera is still in a safe depth for use. For how many minutes could he have been swimming? Graph the solution set. Show your work.
Step-by-step explanation:
The scuba diver's elevation after t minutes can be represented by the equation y = -5 + 2.5t. The camera is in a safe depth for use when y is greater than or equal to 0, so we want to find the value of t when y is equal to 0.
Solving for t:
0 = -5 + 2.5t
5 = 2.5t
t = 5/2.5
t = 2
So the scuba diver could have been swimming for 2 minutes.
The graph of the solution set would be a line with slope 2.5 and y-intercept of -5, and the x-axis (y = 0) would be the line where the diver's depth is equal to sea level. The solution to the problem would be the point on the graph where y = 0 and x = 2.
(In a survey of a group of 180 students, 50 students like cricket game only, 30 students like basketball game only and 50 students do not like both games.): i)Represent the above information in a Venn-diagram. ii)Find the ratio of the students who like cricket game and basketball game.
Answer:
Ratio of cricket to basketball = 5:3
Venn diagram attached below
Step-by-step explanation:
Ratio =
50 people like cricket
30 people like cricket
50:30
simplified
= 5:3
A)How much material does he need to cover the one rectangular side of the tent with the rip? Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning.
Answer:
B)If David’s dad wanted to recover the whole tent including the bottom, how much material would he need? Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning.
Answer:
C)What is the volume of the tent? Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning. (You need to find the area of one of the triangular bases, and then you can take that measurement and multiply it with the height of the entire prism. ) V=Bh, where B = area of one of the triangular bases
Answer
He would need 54 ft² material to cover the one rectangular side of the tent with the rip and 213 ft² to recover the whole tent including the bottom. The volume of the tent is 189 ft³.
Part A
He would need 54 ft² material to cover the one rectangular side of the tent with the rip. As we have to find the area of a rectangular side of a rectangle we will use the formula Area= Length × Width
∴ Area of a Rectangle = length of the rectangle × width of the rectangle
A = 9 × 6
A = 54 ft²
Part B
David's dad would need 213 ft² material to recover the whole tent including the bottom. We know that the 2 sides of the tent are 54 ft² each. So, the total is 54 × 2 = 108 ft².
We will now find the area at the bottom of the tent
A = 7 × 9
A= 63 ft²
We will now find the area of the triangular sides
Triangle Area = 1÷2 × b×h
A = 1÷2 × 7 × 6
A = 1÷2 × 42
A = 21 ft²
As there are 2 triangular sides so we have to multiply it by 2
∴ 21 × 2 = 42 ft²
Add all the sides together 108 63 + 42 = 213 ft²
Part C
The volume of the tent is 189 ft³. It can be found by applying the formula V= b×h
Triangle area = 1÷2 × bh
A = 1÷2 ×7 × 6
A= 1÷2 × 42
A= 21
With a=21 as B and h= 9ft and applying the formula v=Bh
We have,
v = 21 × 9
v = 189 ft³
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how many hip-hop songs does the streaming music channel play for every 12 pop songs? plot a point on the graph to model this relationship
For every 12 pop songs played on the streaming music channel, there are 8 hip-hop tracks.
How do you write the relationship of a graph?After that, the algebraic relationship is denoted by the equation y = mx + b, where y stands for the distance, x for time, m for the slope, and b for the y-intercept. Distance = (2m/s)time - 1m is the relationship we infer from the graph.
The association between two quantitative variables measured for the same individuals is displayed in a scatterplot. One variable's values are shown on the horizontal axis, and the other variable's values are shown on the vertical axis. Each individual in the data is represented by a point on the graph.
As the values of the independent variables rise, a linear connection shows as a straight line, rising or dropping. A direct relationship is shown by a rising line to the right. If the line curves right, there is an inverse relationship.
For every 12 pop songs played on the streaming music channel, there are 8 hip-hop tracks.
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Tommy had equal sized pieces of wood that measured 3.5 inches on each side. He glued the pieces of wood on top of each other until they reached a height of 7 feet. How many pieces of wood did Tommy glue together to reach a height of 7 feet?
He will need 2 wood in order to reach a height of 7 feet
What is the arithmetic operation?
The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.
Tommy had equal-sized pieces of wood that measured 3.5 inches on each side.
He glued the pieces of wood on top of each other until they reached a height of 7 feet.
One is glued above another so the wood add up in the stack.
To make 7 ft in total he need2*3.5 = 7ft
Hence He will need 2 wood in order to reach a height of 7 feet
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The ________ means that none of the points in the line will satisfy the inequality.
Answer: dotted/dashed line
(PLS HELP!!!)
The medians of ADEF are DK, EL, and FJ. They meet at a single point M.
(In other words, M is the centroid of ADEF.)
Suppose EL=24, DM = 12, and FM = 6.
Find the following lengths.
Note that the figure is not drawn to scale.
Answer:
DK = 18
MJ = 3
ML = 8
Step-by-step explanation:
In this problem, we need to use the Median of a Triangle Formula. This formula states that EM/EL = FM/JF = DM/DK = 2/3. To implement this into our question, we can write ML/EL = 1/3, so we get that ML = 24/3 = 8. We also know that MJ/FM = 1/2, so MJ = 6/2 = 3. Finally, DM/DK = 2/3, so DK = (12*3)/2 = 18. Hope this is correct.
Given the grid on your work template, plot the points A(4,5) and B(-7,7). Calculate the distance between the 2 points, and find the midpoint.
distance=
u (rounded to hundredths place)
Answer:
distance = 11.1803 units
midpoint : (-1.5, 6).
Step-by-step explanation:
To plot the points A(4, 5) and B(-7, 7) on the grid, we locate the points at the coordinates (4, 5) and (-7, 7) respectively.
The distance between two points (x1, y1) and (x2, y2) can be calculated using the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the values for A and B, we get:
d = √((-7 - 4)^2 + (7 - 5)^2)
d = √(11^2 + 2^2)
d = √(121 + 4)
d = √125
d = 11.1803 (rounded to hundredths place)
The midpoint of two points (x1, y1) and (x2, y2) can be calculated as follows:
x = (x1 + x2) / 2
y = (y1 + y2) / 2
The midpoint of A and B is:
x = (4 - 7) / 2 = -1.5
y = (5 + 7) / 2 = 6
So the midpoint of A and B is approximately (-1.5, 6).
what is another term for the average value of a distribution?
The another term for the average value of a distribution is "mean."
The mean is a commonly used measure of central tendency that represents the average value of a set of data. It is calculated by summing up all the values in a dataset and dividing by the total number of observations. The mean is a useful tool for summarizing the general tendency of a dataset and is used as a basis for other statistical calculations such as variance and standard deviation.
However, the mean is sensitive to outliers, meaning that a few extreme values in a dataset can greatly affect the mean. For this reason, it's sometimes necessary to use other measures of central tendency, such as the median or mode, to get a better understanding of the central tendency of a dataset.
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If $100 is increased by 15% it then becomes?
Answer:
$115
Step-by-step explanation:
If $100 is increased by 15%, it becomes $100 + 0.15 * $100 = $100 + $15 = $115.
Answer: 115
Step-by-step explanation:
100 x 0.15 = 15 so, 100 + 15 = 115
What is the measure of ABE
If <A = 51° then the measure of angle ABE be 39°.
What is meant by right angled triangle?The term "right triangle" refers to a triangle with an interior angle of 90 degrees. The hypotenuse, the side that faces the right angle and is also the side with the longest side in a right triangle, and the height and base are the two arms of the right angle.
It is 90 degrees at a right angle. Angles smaller than 90 degrees are considered sharp angles. More over 90 degrees is considered an obtuse angle. Additionally, these angles aid in categorizing the various triangular varieties.
ΔABE = 180 degree
Let the equation be
∠A + ∠B + ∠E = 180 degree
simplifying the above equation, we get
51° + ∠B + 90° = 180°
∠B = 180° - 90° - 51°
∠B = 39°
Therefore, the measure of angle ABE be 39°.
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When switching x and y, the result is always an inverse ________(relation or function).
function is the answer of this question
what are the coordinates to graph y=-2x-2
Answer: the y intercept is (0,-2)
Step-by-step explanation:
Step-by-step explanation:
it is a line.
so, you need 2 points of the line that you can then connect via a ruler and a pen.
you get a point by picking a value for x and calculate the corresponding y.
like x = 0, y = -2×0 - 2 = -2
or x = -2, y = -2×-2 - 2 = 2
Como despejar x en y = 10x - 1
Answer:
x= y+1/10
Step-by-step explanation:
y = 10x-1
y+1 = 10x
y+1/10 = x
y+1/10
Step-by-step explanation:
1. Add 1
2.divide by 10
Consider the function g(x)=−(x−1)^3−2. Which ordered pair lies on the inverse of the function?
(62,−3)
(−4, 123)
(3, 1)
(3,−6)
The ordered pair lie on the inverse of the function is (62,−3).
Option A is the correct answer.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = -(x - 1)³ - 2
The inverse of f(x).
y = -(x - 1)³ - 2
interchange x and y and solve for y.
x = -(y - 1)3 - 2
(y - 1)³ = -2 - x
(y - 1)³ = -(2 + x)
Cuberoot on both sides.
y - 1 = ∛-(2 + x)
y = ∛-(2 + x) + 1
Now,
Substitute in the inverse of g(x).
(62, -3) = (x, y)
(−4, 123) = (x, y)
(3, 1) = (x, y)
(3,−6) = (x, y)
So,
y = ∛-(2 + x) + 1
y = ∛-(2 + 62) + 1
∛-1 = -1
y = -1∛64 + 1
y = -1 x 4 + 1
y = -4 + 1
y = -3
So,
(62, -3) ______(1)
And,
y = ∛-(2 + x) + 1
y = ∛-(2 - 4) + 1
∛-1 = -1
y = ∛(-2 + 4) + 1
y = ∛2 + 1
y = 1.26 + 1
y = 2.26
So,
(-4, 2.26) _______(2)
And,
y = ∛-(2 + x) + 1
y = ∛-(2 + 3) + 1
∛-1 = -1
y = -1∛5 + 1
y = -1 x 1.71 + 1
y = -1.71 + 1
y = -0.71
So,
(3, -0.71) _______(3)
And,
y = ∛-(2 + x) + 1
y = ∛-(2 + 3) + 1
∛-1 = -1
y = -1∛5 + 1
y = -1 x 1.71 + 1
y = -1.71 + 1
y = -0.71
So,
(3, -0.71) ______(4)
Thus,
From (1), (2), (3), (4) we see that,
(62, -3) is the solution to the inverse of g(x).
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if i'm given 3 points and found a vector projected onto another vector, how do i know those 3 points lie on the same line?
If you have three points in space , we can use direction vector , check if vectors are collinear or proportional to know those 3 points lie on the same line.
If you have three points in space and you find a vector that is projected onto another vector from each of these three points, it is possible to determine if the three points lie on the same line. Here's how you can do it:
Find the direction vector: Calculate the direction vector from one of the points to the other two points.
Check if the projection vectors are collinear: If the projection vectors from all three points are collinear, it means that they are all pointing in the same direction and are proportional to each other.
Check if the projection vectors are proportional: If the projection vectors are proportional, it means that they are all pointing in the same direction, and the three points are on the same line. Note that in order to determine if the projection vectors are proportional, you would need to know the magnitude of the projection vectors.
If the three points do lie on the same line, the direction vector found in step 1 will be proportional to the projection vectors found in step 2 and step 3, and all three points will lie on the same line in space.
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WILL GIVE brainliest HELP ASAP
Answer:
E,B are the answers.
Step-by-step explanation:
If a two system of equation passes to the origin (0,0), How many solutions does it have?
A) One solution
B) infinity many solution
C) No solution
D) none of the above
To create the design shown, shade the triangle formed by the three midsegments of the triangle. Then repeat the process for each unshaded triangle.
a. What is the perimeter of the shaded triangle in Stage 1?
b. What is the total perimeter of all the shaded triangles in Stage 2?
c. What is the total perimeter of all the shaded triangles in Stage 3?
The total perimeter of all the shaded triangles in Stage 3 is 114 units.
What is midpoint theorem?The midpoint theorem states that the line segment joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of the length of the third side.
a) The shaded triangle in stage 1 is formed by the three midsegments of the triangle in stage 0 whose side is 16.
As the mid-segment theorem says the mid-segment is parallel and half in length to the third side of the triangle.
Apply the midsegment theorem, the side of the shaded triangle in stage 1 will be half of the side of the triangle in stage 0 i.e.,
16/2 =8
So, the perimeter is 3×8= 24 units
b) Perimeter = Perimeter of small triangle + Perimeter of 3 smaller triangles
= 24+3×3×4
= 60 units
c) Perimeter = Perimeter of small triangle + Perimeter of 3 smaller triangles + Perimeter of 9 smallest triangles
= 24+3×3×4+9×3×2
= 114 units
Therefore, the total perimeter of all the shaded triangles in Stage 3 is 114 units.
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a) Complete the table of values for y = x^2 - 4 x
b) Which of the three curves drawn matches the graph of y = x^2 - 4x
On solving the provided question, we can say that from the graph[tex]y = x^2 - 4x[/tex], x = 0, y = 0 and x =2, y = 0
What is graphs?Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle.
from the graph,
[tex]y = x^2 - 4x[/tex]
so,
x = 0, y = 0
x = -1,
y = 5
and x =2, y = 0
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Ava draws a circle with a radius of 4cm. Elliana draws a circle with a diameter of 6 cm. without calculating, whose circle has the greater area? explain.
Answer:
Elliana's circle with a radius 4 has a greater area
Step-by-step explanation:
The area of a circle is given by πr²
Area is directly proportional to the square of the radius
A ∝ r²
So the greater the radius, the greater the area
Hence, Elliana's circle has a greater area
What rule would you allow to test whether (x,y) is on line l
The slope of the line will be 5 / 4 for the given graph.
What is a slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope of the line is defined as the ratio of the rise o the line to the run of the line.
Given that the line is passing through points ( 4,5) and ( 8, 10). The slope of the line will be calculated as:-
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 10 - 5 ) / ( 8 - 4 )
Slope = 5 / 4
Hence, the slope of the line is equal to 5 / 4.
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