Answers
the other statements are.
Converse: If it has a perimeter of 10 cm, then the figure is a rectangle with sides of 2 cm and 3 cm (false)Inverse: If the figure is not a rectangle with sides of 2 cm and 3 cm, then it has a perimeter different than 10cm (false)Contrapositive: "If it has a perimeter different than 10cm, then it is not a rectangle with sides of 2cm and 3cm" (true)How to get the converse, inverse, and contrapositive statements?
For a conditional statement of the form:
If P, then Q
The other statements are:
Converse: if Q then PInverse: not P, then not Q.Contrapositive: not Q, then not P.Here the conditional is:
"if a figure is a rectangle with sides 2 cm and 3cm, then it has a perimeter of 10cm"
We can identify:
P = a figure is a rectangle with sides 2 cm and 3cm
Q = it has a perimeter of 10cm
Then the other statements are.
Converse: If it has a perimeter of 10 cm, then the figure is a rectangle with sides of 2 cm and 3 cmThis clearly is false, as we can have a circle with a perimeter of 10 cm.
Inverse: If the figure is not a rectangle with sides of 2 cm and 3 cm, then it has a perimeter different than 10cmThis is also false, the figure can be a rectangle with sides of 1cm and 4 cm for example.
Contrapositive: "If it has a perimeter different than 10cm, then it is not a rectangle with sides of 2cm and 3cm"This is true. if the figure does not have a perimeter of 10cm, then it can't be a rectangle with sides of 2cm and 3cm
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Related Questions
Find the slope of the line if it exists.
Answers
Answer: 5/4
Step-by-step explanation: You go up five from point (-6,0) and across for to point (-2,4)
For a sporting event 6,000 tickets were sold, and the proceeds were $78,000. Tickets for children 16 and younger, were $8, adults were $16, and seniors 60 and older were $12. There were 2 times more adults than children at the sporting event.
What system of equations represents the number of children, c, adults, a, and seniors, s, that attended the sporting event?
Responses
c+a+s=6,000
8c+12a+16s=78,000
2a=c
c+a+s=6,000
8c+16a+12s=78,000
a=2c
c+a+s=6,000
8c+12a+16s=78,000
a=2c
c+a+s=6,000
8c+16a+12s=78,000
2a=c
Answers
Option 2 is the answer.
No. on tickets sold = 6000
Proceedings of the tickets sold = $78,000
Cost of tickets for children = $8
Cost of tickets for adults = $16
Cost of tickets for seniors = $12
2 times more adults were present than the children.
Let the number of children be 'c.'
Let the number of adults be 'a.'
Let the number of seniors be 's.'
Since 2 times more adults were present than the children, we get the equation,
a = 2c
No. of tickets sold will be equal to the total no, of people.
∴ c + a + s = 6000
The proceedings will be equal to the sum of the amounts and number of people who bought tickets with that amount,
∴ 8c + 16a + 12s = $78,000
Thus, we have the three equations,
c + a + s = 6000
8c + 16a + 12s = $78,000
a = 2c
This series of equations are given in option 2 Thus, option 2 is the answer.
Answer) Option 2.
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A sample of n = 5 scores has a mean of M= 10. One new score is added to the sample, and the new mean is calculated to be M = 9. What is the value of the new score?
A) X=5 B X=55 C) X=4.5 D X=4 E)
Answers
The value of the new score in discuss according to the task content is; Choice D; X= 4.
What is the value of the new score?According to the task content, it follows that the mean of the initial 5 scores was; M = 10.
Hence, the sum of all 5 scores is; 5 × 10 = 50.
Hence, upon addition of the sixth score, x the new mean is; M = 9.
Hence, the value of the new score can be determined as follows;
(50+x)/6 = 9
50 + x = 54
x = 54-50
x = 4.
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Multiplication equation-
X
Groups
10. Write a multiplication equation for each one.
a) 2+2+
2+2 + 2 =
b.) 5+5+5+5+5=
c.) 4 groups of 3 =
Draw a picture of 4 groups of 3
------->
--->
->
X
X
X
=
Answers
we get the the multiplication equations are 2 + 2 + 2 + 2 + 2 = 2 × 5, 5 + 5 + 5 + 5 + 5 = 5 × 5 and 4 groups of 3 = 3 × 4.
We are given some expressions and we need to find the multiplication equation for each one.
a) 2 + 2 + 2 + 2 + 2 will be
Since, 2 is repeating 5 times, we get that:
multiplication equation will be:
2 + 2 + 2 + 2 + 2 = 2 × 5
b) 5 + 5 + 5 + 5 + 5 will be
Since, 5 is repeating 5 times, we get that:
multiplication equation will be:
5 + 5 + 5 + 5 + 5 = 5 × 5
c ) 4 groups of 3 will be
Since, 3 is repeating 4 times, we get that:
multiplication equation will be:
4 groups of 3 = 3 × 4
Therefore, we get the the multiplication equations are 2 + 2 + 2 + 2 + 2 = 2 × 5, 5 + 5 + 5 + 5 + 5 = 5 × 5 and 4 groups of 3 = 3 × 4.
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2. There are 30 students in Mrs. Woodward’s class and 1/5 of the class has their own cell phone. Of this group of students, 1/2 of them are allowed to use social media. How many of the students have a cell phone and can use social media?
Answers
Answer:
Step-by-step explanation:
Im guessing but i did 5*___= 30 which is 6 so 6 of his student have their own cell phone, and then the half is 3
Please show work, and brainliest will be yours.
Answers
Now, because the conditional and converse are true, then we have a biconditional relation between P and Q.
From that, we conclude that the truth values for the two above statements is true for both
What are the truth values of the contrapositive and inverse statements?
A conditional statement is of the form:
If P, then Q.
The inverse statement is:
if Q, then P.
We assume that these two are true.
An example of this is:
P = a number is even.
Q = a number is a multiple of 2.
Then the two above statements are:
conditional: If a number is even, then the number is a multiple of 2.converse: if a number is a multiple of 2, then it is even.Now the inverse statement is:
if not P, then not Q.
The contrapositive is:
If not Q, then not P.
Now, because the conditional and converse are true, then we have a byconditional relation between P and Q.
From that, we conclude that the truth values for the two above statements is true for both, but let's check with our propositions:
Inverse: If a number is not even, then it is not a multiple of 2. (this is true)
Contrapositive: If a number is not multiple of 2, then it is not even (also true).
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Question
Ray invested $1700 in an account with continuously compounded interest at a rate of 2.8%. After 3 years, how much
money did he have in the account? Round your answer to the nearest dollar.
Answers
The amount of money in Ray account after investing for three years was $1846.84
What is an equation?An equation is used to show the relationship between numbers and variables. An equation can be linear, quadratic depending on the degree.
Let y represent the total money after x years, hence:
y = 1700(1.028)ˣ
After 3 years:
y = 1700(1.028)³ = $1846.84
The amount of money in Ray account after investing for three years was $1846.84
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Answer:
$1849
Step-by-step explanation:
Use the formula for calculating compound interest A=P0ert where r=0.028, P0=1700, and t=3. Substitute the values into the formula and simplify.
A=1700e0.028⋅3
A=1700e0.084
A=1700(1.087...)
A=1848.97
To the nearest dollar, the amount in the account after three years is A≈1849.
A cone-shaped pile of sawdust has a base diameter of 40feet, and is 17feet tall. Find the volume of the pile.
Answers
Answer:
7120.94 cubic feet
Step-by-step explanation:
volume of a cone =
pi times radius squared times (height ÷ 3)
pi times 20 squared times (17 ÷ 3)
11.4.3 Quiz: Computing Slope
Question 2 of 10
Rise is the change between the y-coordinates of any two points along a line in
the xy-plane.
A. True
B. False
Answers
Answer:
It is very very rue
HELP ME PLEASE THS IS ABOUT GEOMETRY THNKS
Answers
Using proportions, the coordinates of point C are given as follows:
C(0, -0.67).
What is a proportion?A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.
Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.
For this problem, the points are given as follows:
A(-4,-6), B(5,6), C(x,y).
The ratio of AC to CB is of 4:5, hence the following equation is constructed:
C - A = 4/9(B - A).
As the ratio of 4:5 means that the distance is 4/(4 + 5) = 4/9.
The x-coordinate of C is found applying the above equation as follows:
x + 4 = 4/9(5 + 4)
x + 4 = 4
x = 0.
The y-coordinate of C is also found applying the equation, as follows:
y + 6 = 4/9(6 + 6)
y + 6 = 5.33.
y = -0.67.
Hence the coordinates of point C are given as follows:
C(0, -0.67).
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Describe the similarities and differences between finding the slope of a linear equation from a graph that has x and y scales that are 1:1, and from a graph that has x and y scales that are not 1:1 (say your x and y scales are 2, 4, 6).
Answers
Using linear function concepts, we have that:
For a graph in a 1:1 scale, we can look at two consecutive values, y when x = a and y* when x = a + 1, and subtract y* by y. For a graph in another scale, we also do the same thing, but since the scale is not 1:1, we have to divide the subtraction of y* by y by the scale.What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.Given two points in a graph, the slope is given by change in y divided by change in x, hence:
For a graph in a 1:1 scale, we can look at two consecutive values, y when x = a and y* when x = a + 1, and subtract y* by y. For a graph in another scale, we also do the same thing, but since the scale is not 1:1, we have to divide the subtraction of y* by y by the scale.More can be learned about linear function concepts at https://brainly.com/question/24808124
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Rewrite 42= 6x7 using commutative law of multiplication
Answers
we get 6 = 6 , in 42= 6x7 using commutative law of multiplication.
What do associative law and commutative law mean?
The order of some mathematical operations is addressed by the commutative property. We can write the binary operation as a + b = b + a. The associative attribute, on the other hand, deals with the grouping of numbers in an operation. For instance, we could write it as (a + b) + (a + b + c).This law states that no matter how the numbers are arranged, the outcome of multiplying two integers remains the same. So A.B = B.A. Examples include: 1 + 2 + 1 + 2 + 4 + 5 + 4 + 20.using the Commutative Law of Multiplication.
42 = 6 x 7
42 / 7 = 6
6 = 6
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Which shows the equation below written in the form ax² + bx + c = 0?
x+ 9 = 2(x-1)²
Answers
Answer:
[tex]2x^2 -5x - 7 =0[/tex]
Step-by-step explanation:
We have the equation
[tex]x + 9 = 2(x-1)^2[/tex]
[tex](x-1)^2 = x^2-2x+1[/tex] using the formula [tex]\left(a-b\right)^2=a^2-2ab+b^2[/tex]
[tex]x + 9 = 2(x^2-2x\cdot \:1+1^2)[/tex] = [tex]2x^2-4x+2[/tex]
Switch sides
[tex]2x^2-4x+2=x+9[/tex]
Subtract 9 from both sides
[tex]2x^2-4x+2 - 9=x+9-9[/tex]
[tex]2x^2 -4x -7 = x[/tex]
Subtract x on both sides
[tex]2x^2 - 4x -7 -x = 0[/tex]
[tex]2x^2 - 4x - x -7 = 0[/tex]
[tex]2x^2 -5x - 7 =0[/tex]
where
[tex]a = 2, b = -5, c = -7[/tex]
Answer: I hope this helps.
Step-by-step explanation:
how do you find the nth term of 70, 110, 150, ….
Answers
Answer: an=40(n-1)+70
Step-by-step explanation:
70, 110, 150, ….
Notice the terms get bigger by 40 as the sequence progresses. Hence, we can model this sequence with a linear equation. y=40(x-1)+70 where y=term value, x=term number and 70 is the first term.
y=40(x-1)+70
an=40(n-1)+70 ==> an=term value/nth term. n=term number
help fast please math!!!!!!!!
Answers
Hope this helps
Answer:
I am thinking 180
Step-by-step explanation:
The reason why I say this is because 180 over 12 equals to 15
what is the distance between the points (5, 14) and (18, 3)?
Answers
Answer:
14.87
Step-by-step explanation:
A civil engineer counted the cars that passed through an intersection.If 2457 cars passed through the intersection in one hour how many cars would pass through 8 hours
Also need you to send the working out please you would help the best
Answers
The number of cars that would pass through the intersection in 8 hours is 19,656.
How many cars would pass through in 8 hours?In order to determine the number of cars that would pass through the intersection in 8 hours, the cars that passed through in one hour would be multiplied by the number of hours.
Multiplication is the mathematical operation that is used to determine the product of two or more numbers. Multiplication is the process of adding one number to another over a number of times. The sign used to represent multiplication is x.
Total number of cars that passed through in 8 hours = cars that passed through in one hour x number of hours
2457 X 8
2457
x 8
19,656
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What is -y+9z-16y-25z+4 written in simplest form
Answers
- 17y - 16z + 4
Two splice plates are cut from a piece of sheet steel that has an overall length of 19 3/8 in. The plates are 9 1/4 in. and 6 15/16 in. long. How much material remains from the original piece if each saw cut removes 1/16 in.?
Answers
The material that remains from the original price is 3 1/16 inches.
How much material remains?A fraction is a non-integer that consists of a numerator and a denominator. A mixed fraction is made up of a whole number and a proper fraction. A proper fraction is a fraction where the numerator is less than the denominator.
Material left = initial length - length of the first plate - length of the second plate - (2 x 1/16)
[tex]19\frac{3}{8} - 9\frac{1}{4} - 6\frac{15}{16} - \frac{2}{16}[/tex]
[tex]4\frac{6 - 4 - 15 - 2}{16}[/tex]
4[tex]\frac{-15}{16}[/tex]= 3 1/16 inches
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In which situation would the result be 0?
Answers
1 1/2 + (-1 1/2) or 1 1/2 - 1 1/2
Evaluating accordingly would result in an answer of 0.
Final answer: C.
Answer:
C, adding -1 1/5 to the coordinate of point J
Step-by-step explanation:
J= 1 1/5
1 1/5+(-1 1/5)
- use the distributive property
- positive x negative # = negative #
1 1/5 - 1 1/5
= 0
Question 1: Factor −6x^2 + 18x.
Question 2: Rewrite 6x + 36 using a common factor.
Answers
[tex] \phi = - 6x {}^{2} + 18x \\ \phi = - 6x(x - 3)[/tex]
Question 2:[tex] \psi = 6x + 36 \\ \psi = 6(x + 6)[/tex]
Answer:
Step-by-step explanation:
Answer:
Question 1 = -6x(x-3)
Question 2 = 6(x+6)
Step-by-step explanation:
Hope this helps
Joey walked 10 laps around the school's track. He walked a total distance of 6.74 miles. Monica walked 30 laps around the same track. What is the total distance Monica walked?
Answers
Answer:
20.22 miles
Step-by-step explanation:
If 10 laps is 6.74 then 30 laps is 3*6.74 which is 20.22
graph each equation by using a table -3=5x-y
Answers
The graph of the equation is shown below
Graph of linear equations
From the question, we are to graph the given equation
The given equation is
-3 = 5x - y
To graph the equation,
First we will determine the x-intercept and y-intercept
x-intercept
Put y = 0 in the equation
-3 = 5x - 0
-3 = 5x
x = -3/5
y-intercept
Put x = 0 in the equation
-3 = 5(0) - y
-3 = 0 - y
-3 = -y
y = 3
Using the x-intercepts and y-intercepts, we can plot the graph of the equation.
The graph of the equation is shown below
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a - 15 = 22
———
83 = y - 17
could someone please give me the step-by-step answer for these?
I’m really confused
Answers
Answer:
a = 37 y = 100
Step-by-step explanation:
Think of the inverse operation of addition which is subtraction. Then you can guess and check and see what fits where. The letters are just placeholders so I took the given number and added it to the answer to get the answers for the blanks.
Cheers!
1. a = 37
2. 100 = y
Explanation:
First problem:
First: You have to get the variable (a) alone, so you must get rid of the “- 15” and in order to do this you have to do the opposite of subtraction, which is addition. You have to add 15 to 22 as well since both sides of the equal sign have to do the same thing.
a - 15 = 22
+ 15 + 15
Second: There is nothing else to do, the answer is a = 37
a = 37
Second problem:
First: Just like the first problem you must get t the variable (y) alone. Since 17 is being subtracted from the variable you must add 17 to “- 17” and just like last time you must do the same to the other side of the equal sign! So you’ll be adding 17 to 83
83 = y - 17
+ 17 + 17
Second: There is nothing else to do, you’re left with 100 = y
100 = y
Determine which answer in the solution set will make the equation true.
4p + 5 = 6p − 15
S: {−10, 0, 10, 20}
A: 0
B: −10
C: 20
D: 10
Answers
Answer:
d) 10
Step-by-step explanation:
Let's solve the problem,
→ 4p + 5 = 6p - 15
→ 6p - 4p = 5 + 15
→ 2p = 20
→ p = 20/2
→ [ p = 10 ]
Hence, option (d) is correct.
There are about 7,000,000,000 people in the world. In Australia, there is a population of about
2.306 x 107 people. What is the difference between the world's and Australia's populations?
Answers
If there are about 7,000,000,000 people in the world and In Australia, there is a population of about 2.306 x [tex]10x^{7}[/tex] people, then the difference between the world's and Australia's populations is 697.694×[tex]10^{7}[/tex]
Given,
The total population of world = 7,000,000,000 peoples
Convert to suitable standard form
7,000,000,000 peoples = 700× [tex]10^{7}[/tex] peoples
The population of Australia = 2.306×[tex]10^{7}[/tex]
The difference = The population of world - The population of Australia
=700× [tex]10^{7}[/tex]-2.306×[tex]10^{7}[/tex]
=(700-2.306)×[tex]10^{7}[/tex]
=697.694×[tex]10^{7}[/tex]
Hence, If there are about 7,000,000,000 people in the world and In Australia, there is a population of about 2.306 x [tex]10x^{7}[/tex] people, then the difference between the world's and Australia's populations is 697.694×[tex]10^{7}[/tex]
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Select all of the following tables which represent y as a function of x
.
Answers
The ordered pairs that represents a function y in terms of x are {(-2, -3),(1, 3),(1, 6) (9, 8}, (12, 11)) and {(-3, -5), (3, 2), (6, 5), (7, 9), (10, 16)}
Linear functionsA set of ordered equation represents a linear function if the domain of the coordinates are not repeated.
For instance, the ordered pairs that is a function are the coordinates that do not have any repeated y-coordinates.
From the given linear functions, the ordered pairs that represents a function y in terms of x are {(-2, -3),(1, 3),(1, 6) (9, 8}, (12, 11)) and {(-3, -5), (3, 2), (6, 5), (7, 9), (10, 16)}
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A={x|x is an even number more than 0 but less than 5}
Answers
Answer:
A = {2, 4}
Step-by-step explanation:
This can be written as
A = {2, 4}
Scientists are drilling a hole in the ocean floor to learn more about the Earth's history. Currently, the hole is in the shape of a cylinder whose volume is approximately 3500 cubic feet and whose height is 2.9 miles. Find the radius of the hole to the nearest hundredth of a foot. (Hint: Make sure the same units of measurement are used.)
Answers
The radius of the hole is 0.07 feet.
What is the radius?A cylinder is a three-dimensional object that is made up of a prism and a circular base.
Volume of a cylinder = πr²h
Radius = √volume / (π x h)
Where:
π = pi = 22/7r = radiush = heightThe volume of the hole and the height of the hole are in different dimensions. Thus, the height of the hole has to be converted to feet.
1 mile = 5280 feet
5280 x 2.9 = 15,312 feet
3500 / (22/7 x 15,312) = 0.07 feet
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WILL GIVE BRAINLIST
Write an equation for the line, in point-slope form, that passes through the following points. (2,-1) (5,-7)
Answers
Answer: y + 1 = -6(x-2)
Step-by-step explanation:
First find the slop with m = y2 - y1 / x2 - x1
-7 - (-1)/ 5 - 2 = -6
-7 + 1 / 5 -2 = -6
m = -6
Then use the point slope form y - y1 = m(x - x1) with coordinates (2, -1)
y - (-1) = -6(x - 2)
y + 1 = -6(x-2)