The three values that make this inequality true 3n ≤ 18 are 6, 5, and 4.
We have,
To find three values that make the inequality 3n ≤ 18 true, we can simply substitute different values of n and check if the resulting statement is true or false.
Here are three values that satisfy the inequality:
n = 6:
3n = 3(6) = 18, which is equal to the upper bound of the inequality. Therefore, 3n ≤ 18 is true for n = 6.
n = 5:
3n = 3(5) = 15, which is less than 18. Therefore, 3n ≤ 18 is true for n = 5.
n = 4:
3n = 3(4) = 12, which is less than 18. Therefore, 3n ≤ 18 is true for n = 4.
Note that there are infinitely many values of n that satisfy this inequality, but these three values are enough to demonstrate that the inequality is true for at least three specific values of n.
Thus,
The three values that make this inequality true 3n ≤ 18 are 6, 5, and 4.
Learn more about inequality here:
https://brainly.com/question/23890086
#SPJ2
In a four-team basketball league, each team has played every other team 4 times. A team earned 3 points for a win, 1 point for a tie and no points for a loss. The total accumulated points were: Bulls 22, Lakers 19, Knicks 14 and Warriors 12. How many games ended in a win and how many games ended in a tie?
Find the surface area of a pyramid with base sides of 2.5 inches and a slant height of 3 inches.
Final answer:
The surface area of a pyramid with a base side of 2.5 inches and a slant height of 3 inches is calculated by finding the area of the base and the four triangular faces separately and then adding them together, resulting in a total surface area of 21.25 square inches.
Explanation:
To find the surface area of a pyramid with a square base of 2.5 inches and a slant height of 3 inches, we need to calculate the area of the base and the area of the four triangular faces.
For the base, which is a square:
Area of base = side × side = 2.5 inches × 2.5 inches = 6.25 square inches
For each triangular face:
Area of one triangle = (base × slant height) / 2 = (2.5 inches × 3 inches) / 2 = 3.75 square inches
Since there are four such triangles, we multiply the area of one triangle by 4:
Total area of four triangles = 3.75 square inches × 4 = 15 square inches
Finally, add the area of the base and the total area of the triangular sides to get the total surface area:
Total surface area = area of base + total area of triangles = 6.25 square inches + 15 square inches = 21.25 square inches
The surface area of the pyramid is therefore 21.25 square inches.
In South Australia, an average of 16 400 000 packets of chips were eaten each day. After a campaign by the health department this amount reduced by 3.9 million.
How many packets of crisps were eaten after the campaign?
I asked this earlier and got no answer. Will give brainliest
The area of a square in 225 inches squared.
a. Write a quadratic equation that can be used to find the dimensions of the square.
b. Solve the equations. What are the dimensions?
It costs $35 for one adult and two children to attend a show. It costs $60 for two adults and three children to attend the same show. How much does it cost one adult to attend the show?
I'll give brainliest if you show your work. Plz answer quickly.
Nolan used the following procedure to find an estimate for the square root of 18.
Step 1: Since 4^2=16 and 5^2= 25 and 16 < 18 < 25, the square root of 18 is between 4 and 5.
4.1^2=16.81
4.2^2=17.64
4.3^2=18.49
4.4^2=19.36
Step 3: Since 18.49 rounds to 18, 4.3 is the best approximation for the square root of 18.
In which step, if any, did Nolan make an error?
A) In step 1, the square root of 18.
is between 4 and 5 because the square root of 18 equals about 20 and 4 times 5= 20.
B) In step 2, he made a calculation error when squaring.
C) In step 3, he should have determined which square is closest to 18.
D) Nolan did not make an error.
Nolan correctly identified the square numbers before and after 18.
The square roots of them are 4 and 5.
Clearly, square root of 18 should lie between 4 and 5 only.
He, then carefully squared 4.1, 4.2, 4.3 etc. and identified that 4.3 squared is nearer to 18.
Since, Nolan is finding estimated square root, his steps are cool and he didn't make any error.
Answer: C
Step-by-step explanation:
Took a quiz
select all the equations that represent a linear equation
Pleaseeeee halpppp
Determine how many actual fish food boxes fit in the shipping box. Show your work.
Find the volume of the shipping box using the two methods and show your work:
Packing cubes
Using the volume formula
Explain how both methods provide the same measurement of volume for the shipping box.
Answer:
Number of boxes that will fit =2340
Step-by-step explanation:
The shipping box volume can be calculated by the formula V = Lxwxh ,where L ,w ,h are length ,width and height of the box.
The length of the shipping box =[tex]3\frac{3}{4} =\frac{15}{4} ft.[/tex]
Width = 3 ft.
Height =[tex]3\frac{1}{4} =\frac{13}{4} ft.[/tex]
Volume of shipping box =[tex]\frac{15}{4} .3 .\frac{13}{4} =\frac{585}{16} = 36.6 ft[/tex].cubic ft.
Volume of shipping box can also be calculated by multiplying base area with the height of box.
Base area of box = [tex]\frac{15}{4} .3=\frac{45}{4} square ft.[/tex]
Volume of box = base area x height =[tex]\frac{45}{4} .\frac{13}{4} = 36.6 cubic ft.[/tex]
Volume of packing cubes =[tex]\frac{1}{4} .\frac{1}{4} .\frac{1}{4} =\frac{1}{64}[/tex] cubic ft.
Number of fish boxes that will fit in the shipping box = volume of shipping box ÷ volume of fish food box = 36.6 ÷ [tex]\frac{1}{64}[/tex] =2340 .
5/6 x2 1/5 will be _________21/5
Will it be grater then,
less then
or equal to
Thank you for your help
Make a story problem for 6 divided by 1/3.
)Tessa had $35. She bought a book for $7 and a magazine for $5. Which expression correctly shows the total money Tessa has left?
A
$35 − (−$7) + (−$5)
B
$35 + (−$7) − (−$5)
C
$35 + (−$7) + (−$5)
D
$35 − (−$7) − (−$5)
a. b c or d
Answer:C
$35 + (−$7) + (−$5)
hope this helps :}
You put $5000 in an account. The account earns $2250 simple interest in 10 years. What is the annual interest rate?
The annual interest rate is
The annual interest rate is 4.5%.
What is the simple interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
Simple interest is calculated with the following formula: S.I. = (P × R × T)/100, where P = Principal, R = Rate of Interest in % per annum, and T = Time.
Given that, principal =$5000, simple interest=$2250 and time period= 10 years.
Here, 2250= (5000×R×10)/100
225000=50000R
R=225000/50000
R=4.5%
Therefore, the annual interest rate is 4.5%.
To learn more about the simple interest visit:
https://brainly.com/question/25845758.
#SPJ6
Arturo builds a cube that measures 5 in on each side. What is the volume of Arturo's cube?
HELP!! Adding and subtracting radicals
Can’t afford to get wrong please do not write if you don’t know thanks !
n cold climate areas, trucks are used to disperse salt on the roads in order to de-ice the roads, making them safe for travel. In some cases, cone- shaped sheds store the salt during the off-season, or until the roads need to be de-iced. This large salt storage shed sits 12 feet above the ground and holds approximately 51.4 cubic feet of salt. To the nearest hundredth of a foot, what is the radius of the large storage shed? Use 3.14 for . In your final answer, include all of your calculations.
The radius of the large storage shed is approximately 2.023 feet to the nearest hundredth of a foot.
To find the radius of the large storage shed, we need to use the formula for the volume of a cone, which is given by: [tex]\[ V = \frac{1}{3} \pi r^2 h \][/tex]
where V is the volume, r is the radius of the base, h is the height and [tex]\( \pi \)[/tex]is approximately 3.14. We are given that the volume V is 51.4 cubic feet and the height h is 12 feet. We need to solve for r.
First, let's rearrange the formula to solve for r: [tex]\[ r^2 = \frac{3V}{\pi h} \][/tex]
Now, plug in the given values:
[tex]\[ r^2 = \frac{3 \times 51.4}{3.14 \times 12} \][/tex]
[tex]\[ r^2 = \frac{154.2}{37.68} \][/tex]
[tex]\[ r^2 \approx 4.093 \][/tex]
Now, take the square root of both sides to find r:
[tex]\[ r \approx 2.023 \][/tex]
So, the radius of the large storage shed is approximately 2.023 feet to the nearest hundredth of a foot.
Kevin works as a salesperson at a store that specializes in custom made computers. He earns a base pay of 325$ per week and a commission on his sales. If Kevin earned a total of $1125 last week, how much of it was commissions
Answer:
$800
Step-by-step explanation:
Kevin earns a base pay = $325 /week
He also make some extra earning in the form of commission. Let this extra earning be “$X”
Thus, Base pay + Extra earning through commission = $1125 -------------Equation (A)
Substituting the values in equation A, we get –
$325 + $X = $1125
$X = $1125 - $325
= $ 800
Todd bought one and 1/2 yards of fabric each pillow uses 3/8 yards of fabric how many pillows can Todd make
Ray is x years old. His brother Ron is y years older than Ray.
What will the sum of their ages be in 5 years?
Help please ppl Guys
Larry Mary and Terry each had a full glass of juice Larry drank 3/4 of his Mary drank 3/8 of hers Terry drank 7/10 of his who drink less than 1/2 of their juice
geometric mean between 9 and 11
The geometric mean of given numbers 9 and 11, using the formula is 9.95.
What is geometric mean?If a and b are two numbers
Their geometric mean = [tex]\sqrt{a*b}[/tex]
Given numbers are 9 and 11
So, the geometric mean of 9 and 11 will be:
[tex]\sqrt{9*11} \\\\\sqrt{99} \\\\9.95[/tex]
Therefore, the geometric mean of given numbers 9 and 11 is 9.95
To get more about the geometric mean visit to:
https://brainly.com/question/47038
please help i will mark brainliest and explain
Mrs.martin made 15 3/4 gallons of sweet tea for a celebration how many quarts of sweet tea did ms.martin make
A regular room at the Great Wolf Lodge is $229.99. You have a discount code to get 20% off of the room rate. The sales tax on the hotel rooms is 13%. Find the total cost of the room.
Please explain how to do it. I don't understand how to do it.
The length of the shorter side of a parallelogram is 29 cm. Perpendicular line segment, which goes through the point of intersection of the diagonals to the longer side divides this longer side into two segments: 33 cm and 12 cm. What is the area of the parallelogram?
The area of the parallelogram is approximately [tex]\( 1216.35 \)[/tex] square centimeters, with a longer side of 45 cm and height 27.03 cm.
To find the area of the parallelogram given the dimensions and conditions described, we can follow these steps:
1. Identify Key Dimensions:
- The shorter side [tex]\( a = 29 \)[/tex] cm.
- The longer side is divided into two segments: 33 cm and 12 cm. Therefore, the longer side [tex]\( b = 33 + 12 = 45 \)[/tex] cm.
2. Determine the Height Corresponding to the Longer Side:
- We need to find the height [tex]\( h \)[/tex] of the parallelogram with respect to the longer side [tex]\( b = 45 \)[/tex] cm.
3. Utilize the Perpendicular Segment Information:
- The perpendicular from the point of intersection of the diagonals to the longer side divides it into two segments: 33 cm and 12 cm.
- This perpendicular segment represents the height [tex]\( h \)[/tex] from the base to the opposite side.
4. Use Geometric Properties of the Parallelogram:
- In a parallelogram, the point of intersection of the diagonals divides each diagonal into two equal segments.
- Since the perpendicular divides the longer side into two segments, we can use these to find the height [tex]\( h \)[/tex].
Given that the point of intersection of the diagonals and the perpendicular segment splits the longer side into two segments (33 cm and 12 cm), we note that this splitting essentially occurs at the mid-point of the segments because the diagonals bisect each other.
5. Calculate the Area:
- The area [tex]\( A \)[/tex] of a parallelogram is given by the formula:
[tex]\[ A = \text{base} \times \text{height} \][/tex]
- Here, the base is the longer side [tex]\( b = 45 \)[/tex] cm, and the height [tex]\( h \)[/tex] needs to be calculated using the right triangle formed by the height and the segments.
6. Determine Height Using Right Triangle:
- We use the properties of the right triangle formed by the height and the segments:
[tex]\[ h^2 + \left(\frac{33 - 12}{2}\right)^2 = 29^2 \][/tex]
- This simplifies to:
[tex]\[ h^2 + 10.5^2 = 29^2 \][/tex]
[tex]\[ h^2 + 110.25 = 841 \][/tex]
[tex]\[ h^2 = 841 - 110.25 \][/tex]
[tex]\[ h^2 = 730.75 \][/tex]
[tex]\[ h = \sqrt{730.75} \][/tex]
[tex]\[ h \approx 27.03 \text{ cm} \][/tex]
7. Calculate the Area:
- Now that we have [tex]\( h \approx 27.03 \)[/tex] cm, the area [tex]\( A \)[/tex] of the parallelogram is:
[tex]\[ A = b \times h = 45 \times 27.03 \approx 1216.35 \text{ cm}^2 \][/tex]
Therefore, the area of the parallelogram is approximately [tex]\( 1216.35 \text{ cm}^2 \)[/tex].
Solve the equation and show all work please show steps!!
e/5-14=8
Please help with the ones I circled for brainliest! thank you so much
Need help soon.
How many pieces 1/3 of a foot each can I make out of 7 feet of rope?
In order to find how many pieces of 1/3 feet rope you can make out of 7 feet rope, you have to divide 7 feet by 1/3 feet.
7/ (1/3) = 21 pieces
Therefore, you can make 21 1/3 – feet ropes.
You can verify the zeroes of a function y=x^2+6x-7 by using a graph and finding where the graph ..........