Answers
Answer: C) Statements
A statement is simply a sentence with words and/or math expression. For example, one statement could be "Segment AB is parallel to segment CD". That same statement can be translated to "AB || CD". The two vertical lines indicate "parallel".
Related Questions
Which of the points listed is the same distance from the x-axis as the point (7, 8.75)?
Answers
we know that
The distance of the point (7, 8.75) to the x-axis (the horizontal line) is 8.75
then
case A) (-7, 5.25)---------> is not correct ( the distance to the x-axis is 5.25)
case B) (8.75, 6)---------> is not correct ( the distance to the x-axis is 6)
case C) (6, -8.75)---------> is correct ( the distance to the x-axis is 8.75)
the answer is the option C) (6, -8.75)
Answer:
(7,-3.25)
Step-by-step explanation:
The length of a side of a rectangle is 2 units less than a number, and the width is 4 units more than the length. Which of the following expressions represents the area of the rectangle, in square units?
Answers
l = x - 2
The width is 4 more than this length:
w = l + 4 = (x - 2) + 4 = x + 2
Now, given that we have the length and width and are looking for the area, we need to multiply these expressions together.
One way to write this would simply be (x + 2)(x - 2). If we wanted to find a different way of writing the area, we could use FOIL to find all terms and get x^2 - 4.
Ethan has $1.25 in dimes, nickels, and pennies. He has twice as many dimes as pennies, and the number of nickels is one less thank the number of pennies. How many dimes, nickels, and pennies does he have?
Answers
Answer: 10 d /5 p/ 4 n
Step-by-step explanation:
The president of the math club is conducting a survey to see where the twelfth-grade class wants to go on their field trip. Instead of asking the whole class, she surveys only the twelfth-grade members of the math club. She records their choices and plans to present the results to the school principal. What type of sampling did she use?
Answers
The answer is convenience sampling.
Step-by-step explanation:
As per the given scenario, the president of the math club is conducting a survey to see where the twelfth-grade class wants to go on their field trip and she surveys only the twelfth-grade members of the math club.
This is convenience sampling as here the samples are the closest people available. Convenience sampling is a method where the samples are taken who are close to hand.
Here also the math club president is asking the math club students only. This is why it is convenience sampling.
Ed is on a road trip. He has already traveled 220 miles and is driving at a rate of 64 miles per hour. Which equation could be used to find how many hours, x, Ed has left in his road trip if he is traveling 604 total miles
Answers
604-220=384
384÷64=6
x=6
Alexa buys 27 stamps, each stamp is of 1 square unit of area. She exchanges them for 8 sugar cubes, whose total volume is numerically (not dimensionally) equal to the total area of Alexa?s stamps. Which of the following represents the length of a cube of sugar
Answers
Alexa exchanges 27 stamps for 8 sugar cubes. To find the length of a sugar cube, we calculate the volume of each cube and then find the cube root of the total volume.
Explanation:In this scenario, Alexa buys 27 stamps, each with an area of 1 square unit. She exchanges them for 8 sugar cubes, whose total volume is equal to the total area of the stamps. To find the length of a single sugar cube, we need to calculate the volume of each sugar cube and then find the length of one side.
The total area of the stamps is 27 square units.Since each stamp has an area of 1 square unit, the total volume of the sugar cubes is also 27 cubic units.To find the length of a single sugar cube, we need to find the cube root of 27, which is approximately 3.Therefore, the length of a cube of sugar is approximately 3 units.
compare 16 cups to 1 gallon
Answers
Since there are 16 cups in a gallon,
16 cups = 1 gal
Hope this helps!
Find the sum of each row in the table. Explain why these sums make sense.
Table:
Food | Rent | Transportation
1/4 6/10 3/20
25%. 60%. 15%
0.25 0.60 0.15
Answers
1/4 6/10 3/20 1
25%. 60%. 15% 100%
0.25 0.60 0.15 1
Answer:
The sum of each row in the table makes sense because we are writing the same amount in three different ways.
Therefore, the result is the same.
Final answer:
The sums of each row in the table represent allocations of a whole expressed in different formats (fractions, percentages, and decimals), and they all add up to 1 or 100%, signifying a full allocation of resources.
Explanation:
To find the sum of each row in the provided table, we add the numbers given within that row. Since the table is arranged with fractions, percentages, and decimals that all represent proportions of a whole, the sum of each row should theoretically be equal if converted into the same format. For instance, we should expect each row to total 1 or 100% if we are discussing a full allocation of resources like a budget.
For the first row, we need to add the fractions: 1/4 + 6/10 + 3/20. To do this, we'd need a common denominator, which is 20. So we get (5/20) + (12/20) + (3/20) = 20/20, which simplifies to 1.
The second row represents percentages and they need to total 100%: 25% + 60% + 15% = 100%
Finally, the third row lists decimals which should sum up to 1: 0.25 + 0.60 + 0.15 = 1.00
All three rows make sense because they represent different ways of expressing the whole, which is split into portions allocated to Food, Rent, and Transportation.
the sum of two numbers is 51 and the difference is 15 what are the numbers
Answers
36÷2=18(answer 1)
18+15=33(answer 2)
Classify each pair of labeled angles as complementary, supplementary, or neither. Drag and drop the choices into the boxes to correctly complete the table. Each pair of angles may belong to more than one category. complementary supplementary neither Two angles, on the left a fifty three degree angle and on the right a one hundred twenty seven degree angleTwo angles, on the top a thirty four degree angle and on the bottom a fifty six degree angleTwo lines intersect with an angle on the top left labeled sixty seven degrees and on the bottom right sixty seven degrees
Answers
supplementary angles have the sum of 180 degrees
1-
[tex]53 + 127 = 180[/tex]
so its supplementary
2-
[tex]34 + 56 = 90[/tex]
it's complementary
3-
[tex]67 + 67 = 134[/tex]
it's none of them
hope it helps
Answer:
Step-by-step explanation:
Since it is given that when two lines intersect, the angle on the top left is 53° and 127°, thus they both form supplementary angles as the sum of both angles that is 53+127=180°.
Also, from the given information, the angle on the top is 34° and on the bottom is 56°, they both form a complementary angle pair, a sthe sum of both the two angles is 90° as 56+34=90°.
Also, the angle on the top left is =67° and the angle on the bottom right =67°, they both form vertical pair angles as both the angles are vertically opposite to each other.
How would the domain and range of the function y= 1/4x-6 be determined
Answers
Answer: Create a table or a graph of the function. The domain represents all input values and the range represents all output values. The domain and range contain all real numbers
how high off the ground is kite if the man flies a kite with 100 ft of string and angles at 52 degrees?
Answers
make sure your calculator is in Degree mode.
the product of nine and x is greater than six more than the product of three and x...?
Answers
6x>6
It doesn't tell my to graph anything so I went ahead and just simplified.
Hope this helps!
Measurement is the use of numbers according to a standard. true or False
Answers
Answer:
The given statement is true.
Step-by-step explanation:
Measurement is the use of numbers according to a standard.
This statement is true.
Measurements should always be taken with respect to a fixed standard.
For example- If we are weighing something, the measurements should be in pounds or kilograms or ounces etc. Otherwise, we can never know the weight of anything.
find x intercepts of y=-3^× + 2
Answers
square root of -72 written in terms of i
Answers
Work:
√-72 --> √36 * √-2 (36 is the perfect square needed to solve this problem)
6√-2 ---> 6i√2
Answer: 6i√2
Hope this helps!
Bob sells hats and scarves.
At the start of the day, he has : hats : scarves = 4 : 3
During the day he sells 25 hats.
At the end of the day, he has: hats : scarves = 7 : 9
How many scarves does Bob have in his store
Answers
x: number of hats
y: number of scarves
We have the following equations:
x / y = 4/3
x-25 / y = 7/9
Solving the system of equations we have
x = 60
y = 45
Answer:
Bob has 45 scarves in his store
Earth's diameter at the equator is 7,926 miles. Find the distance around Earth at it's equator to the nearest tenth.
Answers
What are the equivalent ratios shown in the table? Complete the statement.
24:2=_:3=_:5.5=108:_=_:15
Answers
Answer:
24:2=36:3=66:5.5=108:9=180:15
Step-by-step explanation:
24:2=36:3=66:5.5=108:9=180:15
The complete statement is -
24 : 2 = 36 : 3 = 66 : 5.5 = 108 : 9 = 180 : 15
What is a expression? What is a mathematical equation? What are ratios?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Ratio is a quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
We have the following statement -
24 : 2 = _ : 3 = _ : 5.5 = 108: _ = _ : 15
We have -
24 : 2 = x : 3 = y : 5.5 = 108 : z = k : 15
We can solve it partly -
24/2 = x/3
x = (24 x 3)/2
x = 36
Now, we have -
36/3 = y/5.5
(36 x 5.5)/3 = y
y = 12 x 5.5
y = 66
Moving further -
66/5.5 = 108/z
z = (108 x 5.5)/66
z = 9
Finally -
(108/9) = (k/15)
k = (108 x 15)/9
k = 12 x 15
k = 180
Therefore, the complete statement is -
24 : 2 = 36 : 3 = 66 : 5.5 = 108 : 9 = 180 : 15
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HELP! GIVING BRAINLIEST AND POINTS!!!
1. Which mixed number is greater? 8 1/3 or 8 1/4?
2. Put the following mixed numbers in order from LEAST to GREATEST: 7 1/2, 7 1/5, 7 7/8.
Answers
Least to Greatest it would be 7 1/5, 7 1/2, and 7 7/8. This is because 1/5 is less than 1/2, and 1/2 is less than 7/8.
What is 4xy + xy -7x + x?
Answers
Final answer:
The expression 4xy + xy - 7x + x simplifies to 5xy - 6x by combining like terms, specifically combining 4xy and xy to get 5xy, and -7x and x to get -6x.
Explanation:
The expression 4xy + xy - 7x + x can be simplified by combining like terms. The terms 4xy and xy are like terms, as they both have the same variables x and y to the same power. Similarly, the terms -7x and x are like terms because they both contain the variable x to the same power. To simplify, we combine 4xy and xy to get 5xy and combine -7x and x to get -6x. Therefore, the simplified expression is 5xy - 6x.
Steps involved:
The expression is 4xy + xy - 7x + x.
Combine like terms: 4xy + xy = 5xy
Combine like terms: -7x + x = -6x
Therefore, the simplified expression is 5xy - 6x.
Carly bought a new house for $125,000. The value of the house appreciates approximately 3.5% each year. What will be the value of the house after 10 years
Answers
what is the discount on shirts if shirts cost $24 and there is a discount 25%
Answers
Step-by-step explanation:
25% × $24 = $6
Subtract the discount from the original
24 - 6 = $18.00
when derek planted a tree it was 36 inches tall. the tree grew 1 1/4 inches per year the tree is now 44 3/4 inches tall. how many years ago did derek lant the tree?
Answers
Combine like terms to simplify the expression below 5y-8x-y+12x
Answers
Hope this helps!
Finley's pumpkin had a mass of 6.5 kilograms before he carved it. After carving it, the pumpkin had a mass of 3.9 k.g.
What was the percent decrease in the mass of the pumpkin?
Answers
Keller boat travels 24mph. find the rate of the river if she can travel 6 mi upstream. in the same amount of time she can go 10 mi downstream.
Answers
time=(distance)/(speed)
time taken to travel upstream is:
(24+x)/10
Time taken to travel downstream is:
(24-x)/6
given that the time taken to travel upstream and downstream is the same then:
(24+x)/10=(24-x)/6
6(24+x)=10(24-x)
144+6x=240-10x
6x+10x=240-144
16x=96
x=96/16
x=6 mph
6 mph.
Explanation:
We will use the formula d = rt for this, where d is distance, r is rate, and t is time.
We know that the time for both distances is the same; this means we want to isolate t in our formula. To do this, we will cancel r by dividing both sides:
d/r = rt/r
d/r = t
We will write an expression for the time upstream, an expression for the time downstream, and set them equal.
For the time upstream, the distance is 6 and the rate is 24-x; this gives us
[tex]\frac{6}{24-x}[/tex]
For the time downstream, the distance is 10 and the rate is 24+x; this gives us
[tex]\frac{10}{24+x}[/tex]
Together, these give us the equation
[tex]\frac{6}{24-x}=\frac{10}{24+x}[/tex]
We cross-multiply to solve this:
6(24+x) = 10(24-x)
Using the distributive property, we have
6*24 + 6*x = 10*24 - 10*x
144+6x = 240-10x
Adding 10x to each side,
144+6x+10x = 240-10x+10x
144+16x = 240
Subtract 144 from each side:
144+16x-144 = 240-144
16x = 96
Divide both sides by 16:
16x/16 = 96/16
x = 6
Greg drew a pair of parallel lines and a line segment next to each other on a chalkboard. Which of these statements best compares the pair of parallel lines and the line segment? (1 point) Parallel lines and the line segment have no dimensions of measurement. The parallel lines and the line segment always meet at a common endpoint which is called the vertex. Parallel lines and a line segment cannot lie on the same plane at the same time because they do not overlap. The parallel lines extend infinitely in both directions, and the line segment has two endpoints.
Answers
Answer: If drew drew a pair of lines and draw the segment between them, in a way that the segment is delimited by both lines, then:
If two lines are parallel, then they will never overlap each other, and if you draw a segment between them, then the segment will have two endpoints (one at each intersection with the lines)
So the correct answer is that the parallel lines extend infinitely in both directions, and the line segment has two endpoints.
Find the radius and the circumference to the nearest hundredth when d ≈ 3.8 in. Use 3.14 for π.
Answers
radius r=d/2=1.9
C, circumference
C=2*3.14*r or C=d*3.14
C=3.08*3.14=11.932
C=11.93
The radius is approximately 1.9 in and the circumference is approximately 11.94 in, both rounded to the nearest hundredth.
We have,
If we let d be the diameter of a circle, then the radius of the circle, r, is half of the diameter.
Therefore, we can find the radius of the circle by dividing the diameter by 2:
r = d/2
In this problem,
d ≈ 3.8 in, so we have:
r = 3.8/2 = 1.9 in
To find the circumference of the circle, we can use the formula:
C = 2πr
where π is approximately equal to 3.14 and r is the radius we just found. Substituting in the values, we get:
C = 2 x 3.14 x 1.9 ≈ 11.94 in
Therefore,
The radius is approximately 1.9 in and the circumference is approximately 11.94 in, both rounded to the nearest hundredth.
Learn more about radius and circumference here:
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Simplify the sum 4/m+9+5/m^2-81
A. 9/(m-9)(m+9)
B. 4m+41/(m-9)(m+9)
C.9/m2+m-72
D.4m-31/(m-9)(m+9)
Answers
4/ ( m+9) +5 / ( m-9)(m+9)=
4(m-9)/(m+9)(m-9)+ 5 / (m+9)(m-9)=
(4m-36+5)/(m+9)(m-9)=
4m-31/ (m+9)(m-9)
the answer is D
D
Explanation:
1- The given expression is:
[tex] \frac{4}{m+9} [/tex] + [tex] \frac{5}{m^2 - 81} [/tex]
2- Factorize the denominator of the second term:
[tex] \frac{4}{m+9} [/tex] + [tex] \frac{5}{(m+9)(m-9)} [/tex]
3- Get the common denominator for both terms. In this case, the common denominator would be (m+9)(m-9):
[tex] \frac{4(m-9)}{(m-9)(m+9)} [/tex] + [tex] \frac{5}{(m-9)(m+9)} [/tex]
This will give:
[tex] \frac{4m-36}{(m+9)(m-9)} [/tex] + [tex] \frac{5}{(m-9)(m+9)} [/tex]
4- Add the numerators normally since the two terms have common denominator:
[tex] \frac{4m-36+5}{(m-9)(m+9)} [/tex] = [tex] \frac{4m-31}{(m-9)(m+9)} [/tex]
Comparing the calculated result with the given options, we will find that the correct option is the last one
Hope this helps :)