find an inequality that you can use to disprove John statement. explain your thinking.
Answers
-x > 0
According to John, we multiply both sides by -1, and the inequality sign does not change direction, so we get this
x > 0
Let's use a number for x that makes the original inequality true.
Let x = -2.
-x > 0
-(-2) > 0
2 > 0
As you can see, -2 does work on the original equation.
Now let's try -2 in John's solution.
x > 0
-2 > 0 which is a false statement.
Now let's solve it again, but we will reverse the inequality symbol when we multiply both sides by -1.
-x > 0
x < 0
Try x = -2.
-2 < 0 which is true
Now it works.
John is incorrect.
If you multiply or divide an equation by a negative number, even if one of its sides is 0, you still must change the direction of the inequality symbol.
Related Questions
Find the PERIMETER of this triangle
Answers
[tex]a = \sqrt{ {c}^{2} - {b}^{2} } [/tex]
So the missing leg = the sqrt of the hypotenuse squared minus the other leg squared.
Let's substitute the numbers,
[tex]a = \sqrt{ {10}^{2} - {6}^{2} } [/tex]
Solve for the squares,
[tex]a = \sqrt{100 - 36} [/tex]
Subtract,
[tex]a = \sqrt{64} [/tex]
Solve for the root,
[tex]a = 8[/tex]
~~
So our missing length is 8.
To find the perimeter of the triangle, simply add all the sides....
~~
[tex]8 + 10 + 6 = 24[/tex]
~~
Answer : 24
~~
I hope that helps you out!!
Any more questions, please feel free to ask me and I will gladly help you out!!
~Zoey
______________________________________________________
Explanation:
______________________________________________________
To find the perimeter of the triangle, we add up the lengths of
all 3 (THREE) sides of the triangle; and we have the answer!
______________________________________________________
The triangle given is a "right triangle.
We are given the length of 2 (TWO) of the sides: "6 units" ; and "10 units (the length of the hypotenuse).
___________________________________________________________
We can find the "unknown side length" by using the "Pythagorean theorem" (since this is a "right trangle"):
→ a² + b² = c² ;
in which : "c" is the hypotenuse; which is: "10" (given);
Let "b" represent the known side length, which is "6" (given).
Solve for "a" (the "unknown" side length).
→ a² + 6² = 10² ; Solve for "a" ;
→ a² = 10² – 6² = 100 – 36 = 64 .
↔ a² = 64 .
Now, take the positive square root of each side of the equation;
to isolate "a" on one side of the equation; & to solve for "a" ;
→ ⁺√(a²) = √64 ;
→ a = 8 .
__________________________________________________
Now, to find the "perimeter" of the triangle, we add up all of the side lengths:
6 + 8 + 10 = 14 + 10 = 24 .
__________________________________________________
Answer: The perimeter of the triangle given is: " 24 units " .
__________________________________________________
to get to school Jenny decide to ride the school double decker bus it's a 30-minute ride the bus has a total of 20 rows of seats in each row has a capacity of four kids how many kids in total can ride the school bus
Answers
This semicircle has a diameter of 5 meters. What is the area of this figure? Use 3.14 to for pi. Enter your answer as a decimal in the box. Round your answer to the nearest hundredth. m²
Answers
I just took this test.
Answer:
9.81
Step-by-step explanation:
:3
sasha has a string that is the length of 5 beads. each bead is 2 inches long. what is the length of the string?
Answers
88 POINTS!!!
consider the function f(x)=x(x-4).
If the point (2+c,y) is on the graph of f(x), the following point will also be on the graph of f(x):
Select a Value
(c-2,y)
(2-c,y)
Answers
If the point (2+c,y) is on the graph of f(x), the following point will also be on the graph of f(x):
(2-c,y)
hopefully it's help you
Mario earns money mowing his neighbors' lawns. The revenue for mowing x lawns is r(x) = 25x. Mario's cost for gas and the mower rental is c(x) = 6x + 15. his profit from mowing is x lawns is p(x) = (r-c)(x). What is p(x)
Answers
Answer:
The value of p(x) is 19x - 15.
Step-by-step explanation:
Given,
The revenue mowing x lawns is, r(x) = 25x.
Also, Mario's cost for gas and the mower rental is c(x) = 6x + 15.
Hence, his profit from mowing is x lawns is,
p(x) = (r-c)(x) = r(x) - c(x) ( Subtracting functions property )
By substituting values,
p(x) = 25x - ( 6x+ 15 )
= 25x - 6x - 15 ( Associative property )
= 19x - 15
write equivalent fractions for 2/5 and 1/3 that could be used to find the sum of the fractions.
Answers
Here is your answer:
The proper answers to your question is "4/10 and 3/9".
Here is how:
Both fractions can be reduce to the fractions given:
4/2=2
10/2=5
&
3/3=1
9/3=3
Your answers are 2/5 and 1/3!
If you need anymore help feel free to ask me!
Hope this helps!
What is the area of the triangle in the coordinate plane?
A. 108 units²
B. 91 units²
C.54 units²
D.44 units²
Answers
Area=1/2 base*height
base=12
height=9
12*9=108
108/2=54
Area=54
[tex]\huge\mathfrak {Answer}[/tex]
Area of triangle
= 》1/2 × Base × height
[tex] = > 54 {unit}^{2} [/tex]
Thanks
Which expression is equivalent to sqrt 120x?
a. 2 sqrt 30x
b. 2 sqrt 30
c. 4 sqrt 30x
d. 60 sqrt 2x
Answers
Answer:
a. [tex]2\sqrt{30x}[/tex]
Step-by-step explanation:
We have been given a radical expression and we are asked to choose the correct option that is equivalent to our given expression.
[tex]\sqrt{120x}[/tex]
Let us pull out perfect square from our radical expression.
We can rewrite our given expression as:
[tex]\sqrt{4*30x}[/tex]
Since square root of 4 is 2, so we can pull out 2 from our radical expression.
[tex]2\sqrt{30x}[/tex]
Therefore, the expression [tex]2\sqrt{30x}[/tex] is equivalent to our given expression and option a is the correct choice.
Answer:
A
Step-by-step explanation: on Edge
A pineapple has 9 grams of sugar per slice.
A watermelon has 18 grams of sugar per slice.
Which statement is true?
Answers
Hello duniarivero1986!
The correct answer is: For an equal number of slices, the watermelon will have twice as much sugar.
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What is the approximate circumference of the circle
Answers
C = 2 x 3.14 x 12.5
C = 78.5 cm
answer is C. 78.5 cm
A pail holds 3 1/2 gallons of water. How much is this in cups?(In fraction)
Facts in picture. Please help ASAP!!!
Answers
A triangular flowerbed is being planted inside a circular area of grass. What is the area of the entire circular region (including the flowerbed)? (Use 3.14 for π .) 10,562.96 ft 2 182.12 ft 2 2,640.74 ft 2 91.06 ft 2
Answers
SEE ATTACHED IMAGE.
For this case what you should know is that the area of a circle is given by:
A = pi * r ^ 2
Where,
r: radio
On the other hand we have:
r = d / 2
Where,
d: diameter.
Substituting:
A = pi * (d / 2) ^ 2
We note that the diameter of the circle is 58 ft
Substituting:
A = 3.14 * (58/2) ^ 2
A = 2640.74 feet ^ 2
Answer:
The area of the entire circular region (including the flowerbed) is:
2,640.74 ft 2
Answer:
Answer is 2,640.74
y=-2/9x+2
turn this linear equation into standard form
Answers
Standard form is ax + by = c.
Now, we just need to simplify the equation enough so that we can get the answer:
y = -2/9x + 2
2/9x + y = 2
Since 2/9x + y = 2 is in standard form, it'd be the answer.
Hope this helps!
A bag contains 30 red and blue marbles identical in size. Jason randomly selected 1 marble, recorded its color, and replaced it. He repeated this process 10 times and drew 6 red marbles and 4 blue marbles. Which of the following statements is MOST likely true about the marbles in the bag?
The bag contains 16 red marbles and 14 blue marbles.
The bag contains 12 red marbles and 18 blue marbles.
The bag contains 18 red marbles and 12 blue marbles.
The bag contains 15 red marbles and 15 blue marbles.
Answers
Final answer:
The bag is most likely to contain 16 red marbles and 14 blue marbles due to the probabilities obtained from multiple draws that is option A is correct.
Explanation:
The bag contains 16 red marbles and 14 blue marbles.
For the first draw, the probability of selecting a red marble is 30/60 = 1/2.
Since the marbles are replaced, the probability remains the same for each draw.
Thus, the proportions suggest that the bag has more red marbles than blue marbles.
10.5 would round up to?
Answers
The answer is "11".
Reason:
10.5=11
If the decimal number is 5 or over you round up one therefore you round up one.
If you need anymore help feel free to ask me!
Hope this helps!
~Nonportrit
which are geometric shapes ?
select all that apply
-rhomas
-trapezoid
-scalene triangle
-isosceles triangle
-equilateral triangle
Answers
2x sqaured-5+1 minus 4x-3
Answers
[tex] {2x}^{2} - 5 + 1 - 4x - 3[/tex]
[tex] {2x}^{2} - 4x - 7[/tex]
~~
I hope that helps you out !!
Any more questions, please feel free to ask me and I will gladly help you out !!
~Zoey
the volume of a cone is 36π cubic units. What is the volume of a cylinder that has the same base area and the same height?
Answers
V_cylinder = pi*r^2*h
If you multiply the cone's volume by 3 then you get the cylinder's volume. They become the same formula
3 V_cone = pi r^2 h
Since the cone's volume is 36pi They cylinder's volume is 3*36pi = 108 pi
Final answer:
The volume of a cylinder with the same base and height as a given cone is three times the volume of the cone, so if the cone's volume is 36π cubic units, the cylinder's volume would be 108π cubic units.
Explanation:
The question involves finding the volume of a cylinder when the volume of a cone with identical base and height is given. Since the volume of a cone is one-third the volume of a cylinder with the same base area and height, we can find the volume of the cylinder by using the formula for the volume of a cylinder, V = πr²h, and multiplying the given cone's volume by 3. Therefore, if the volume of the cone is 36π cubic units, the volume of the cylinder would be 108π cubic units, because the volume of the cone is exactly one-third of the volume of a cylinder.
I WILL GIVE BRAINLIEST
In the first event, the eighth graders are running a baton relay race with three other classmates. The team’s top speed for each leg is 56.81 seconds, 59.22 seconds, 57.39 seconds, and 60.11 seconds. Use the information to predict the team’s best time for the race. (Answer) four minutes and twelve seconds
If the team’s best time for the race is less than 4 minutes, then the eighth graders earn 40 points. If not, the seventh graders earn 40 points. Which grade should be awarded 40 points?
Awnser=??<--(what is awnser?)
Answers
Answer:
The team’s best time for the race is 3.89. The team’s best time for the race is less than 4 minutes, therefore the eighth graders earn 40 points.
Step-by-step explanation:
It is given that the eighth graders are running a baton relay race with three other classmates. The team’s top speed for each leg is 56.81 seconds, 59.22 seconds, 57.39 seconds, and 60.11 seconds.
The team’s best time for the race is
[tex]56.81+59.22+57.39+60.11=233.53[/tex]
1 min = 60 sec
Using this conversion we get
[tex]\frac{233.53}{60}=3.892167\approx 3.89[/tex]
Therefore the team’s best time for the race is 3.89.
If the team’s best time for the race is less than 4 minutes, then the eighth graders earn 40 points. If not, the seventh graders earn 40 points.
Since the team’s best time for the race is less than 4 minutes, therefore the eighth graders earn 40 points.
To predict the team's best time for the race, add up the best times for each leg and convert the total to minutes and seconds. The eighth graders should be awarded 40 points.
Explanation:To predict the team's best time for the race, we need to add up the best times for each leg. The team's top speeds for the legs are 56.81s, 59.22s, 57.39s, and 60.11s. Adding these times together gives us a total of 233.53 seconds.
To convert this time to minutes and seconds, we divide the total by 60. The quotient is the number of minutes and the remainder is the number of seconds. Dividing 233.53 by 60 gives us approximately 3.89. So, the team's best time for the race is 3 minutes and 53 seconds.
Since the team's best time for the race is less than 4 minutes, the eighth graders should be awarded 40 points.
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What is 2 divided by 134.5
Answers
[tex]simplify \ 269/2 \\ \\ divide \ 2 \ divided \ by\ 269/2 \\ \\ \boxed{your \ answer} \\ \\ \boxed{\boxed{0.01486988}}[/tex]
I hope this helps you!
Answer:
0.01486988847
Step-by-step explanation:
Can the sides of a triangle have lengths 2.8, 3.6, and 7.1?
yes or no
Answers
According to the triangle inequality theorem, the sum of any two sides of the triangle has to be bigger than the last side. Let's test this.
[tex]2.8+7.1\ \textgreater \ 3.6[/tex]
This inequality satisfies the triangle inequality theorem.
[tex]3.6+7.1\ \textgreater \ 2.8[/tex]
This also satisfies the theorem.
[tex]2.8+3.6\ \textless \ 7.1[/tex]
Uh oh. This does not satisfy the triangle inequality theorem. Thus, it is not possible for a triangle to have these side lengths.
The sales commission is 10% at an electronics store. How much does Saul have to sell in 22 hours to earn $12.50 per hour from commission? Explain.
Answers
because since it is 10 a ten percent commision you can just move the decimal or
because 12.5 multiplied by ten would equal 125 (you would multiply by ten in order to regain what you had before they gave you the amount of commission
Final answer:
Saul needs to sell $2,750 worth of electronics in 22 hours to earn $12.50 per hour from a 10% sales commission.
Explanation:
To calculate how much Saul has to sell in 22 hours to earn $12.50 per hour from commission at a rate of 10%, we first determine his total earnings from commission over the 22 hours. So we multiply $12.50 by 22 hours, which gives us $275. Now, because the commission is 10%, we can write a simple equation where the total sales (which we'll call S) multiplied by 10% (or 0.10) equals $275.
The equation looks like this: S × 0.10 = $275. To solve for S, we divide both sides of the equation by 0.10: S = $275 / 0.10, which results in S = $2,750. Therefore, Saul has to sell $2,750 worth of electronics in 22 hours to earn an hourly wage of $12.50 from commission.
Noah and his friends are going to an amusement park. The total cost of admission for 8 students is $100, and all students share the cost equally. Noah brought $13 for his ticket. Did he bring enough money to get into the park explain you reasoning.
Answers
Answer:
The correct answer is yes, he brought enough money to get into the park.
Step-by-step explanation:
Well, let's analyze the information provided:
Admission to the amusement park for 8 students is $ 100. If each student agreed to share of cost equally, it means that we must divide those 100, for each of those students.
Therefore it will remain 100/8 = 12.5
If each student must pay 12.5, and Noah brought $ 13, that means he will have enough money to enter the park, and he will even have $ 0.50 left over.
A grocer has two kinds of candies: one sells for 90 cents per pound and the other sells for 40 cents per pound. How many pounds of each kind must he use to make 100 pounds he can sell for 85 cents per pound?
Answers
.. 90 lbs of 90-cent candy
.. 10 lbs of 40-cent candy.
I find these X diagrams useful for solving mixture problems.
At our school, 2 out of 3 students is involved in an after school activity. How many of the 600 students are in an after school activity at our school?
A. 300
B. 350
C. 400
D. 450
Answers
find the discriminant, describe the types of roots, and find the solution for 3x^2-24x+12
Answers
b ^ 2-4ac
Substituting the values we have:
(-24) ^ 2-4 * (3) * (12) = 432
Since the discriminator is greater than zero, then the roots are real.
x = (- b +/- root (b ^ 2-4ac)) / (2a)
Substituting the values:
x = (- (- 24) +/- root (432) / (2 * (3))
x = (- (- 24) +/- root (432) / (2 * (3))
x = (- (- 24) +/- root (144 * 3) / (2 * (3))
x = (24 +/- 12raiz (3) / (6)
x = 4 +/- 2raiz (3)
The roots are:
x1 = 4 + 2raiz (3)
x2 = 4 - 2raiz (3)
Answer:
432
the roots are real.
x1 = 4 + 2raiz (3)
x2 = 4 - 2raiz (3)
determine the height of the pyramid triangular base with the base edge of 12 inches and base height 9 inches, and volume of 108 cubic inches
Answers
The height of the pyramid with a triangular base edge of 12 inches, a base height of 9 inches, and a volume of 108 cubic inches is 6 inches.
Explanation:The subject of your question is in the field of mathematics, specifically in geometry. You provided the base edge, base height, and volume of the pyramid and asked to determine the height of the pyramid itself. The volume V of a pyramid is given by the formula V = 1/3 * base_area * height. In your case, the base of the pyramid is a triangle, so the area of the base (base_area) is given by 1/2 * base_edge * base_height = 0.5 * 12 in * 9 in = 54 square in. To find the height of the pyramid, we substitute the volume and the base area into the formula and solve for the height: 108 cubic in = 1/3 * 54 square in * height -> height = 6 inches. Therefore, the height of your pyramid is 6 inches.
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Ladonna made 36 muffins she put the same number of muffin on 4 plates how many muffins did she put on each plate
Answers
I hope I helped!
The length of a rectangular garden is 15 less than twice the width. The area is 3375 ft^2. What are the dimensions of the garden?