The internal dimension of a cylindrical container has a base area of 20 cm2 and a height of 10 cm. What is the internal volume of the container?
Answer:
As per the statement:
The internal dimension of a cylindrical container has a base area of 20 cm2 and a height of 10 cm.
Volume(V) of a cylinder is given by:
[tex]V =A \cdot h[/tex]
where
A is the area of the base cylinder and
h is the height of the cylinder
Substitute the value A = 20 cm square and h = 10 cm we have;
[tex]V=20 \cdot 10[/tex]
Simplify:
V = 200 cubic cm
Therefore, the internal volume of the container is 200 cubic cm
Answer:
200 cm³
Step-by-step explanation:
In question we have given the area and height of the internal dimension of a cylindrical container.We have to find volume of the container.
From question statement ,we observe that
Area=20 cm² and Height=10 cm
The formula to find volume is :
Volume= Area×Height
putting the values of area and height in above formula,we get
Volume= 20 cm²×10 cm
Volume= 200 cm³
Hence, The internal volume of the container is 200 cm³.
Dylan opened a credit card account with $650.00 of available credit. Now that he has made some purchases, Dylan’s account only has $455.00 of available credit. What is the percentage decrease of the amount of available credit in Dylan’s account?
Answer:
32.5%
Step-by-step explanation:
The percentage decrease of available credit in Dylan's account is 30%. This was found by subtracting the new available credit from the original, dividing the difference by the original available credit, and multiplying by 100.
To calculate the percentage decrease of the available credit in Dylan's account, we need to first determine the amount of credit that has been used. The original available credit was $650.00, and it has decreased to $455.00 after some purchases. The difference between the two amounts is $650.00 - $455.00 = $195.00. This value represents the decrease in available credit.
Next, we calculate the percentage decrease by dividing the decrease by the original amount and multiplying by 100. So, the percentage decrease = ($195.00 / $650.00) × 100 = 30%.
Plz tell me the error and what the correct answer is and explain
Answer:
3
Step-by-step explanation:
x÷4 is the expression
Evaluate when x=12
12÷4
12/4
3
He subtracted instead of dividing.
12-4 = 8 12/4 =3
how do I graph y=−2x?
Answer:
Use the slope-intercept form to find the slope and y-intercept.Slope:
2
Y-Intercept:
0
Any line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.x
y
0
0
1
2
Graph the line using the slope and the y-intercept, or the points.
Slope:
2
Y-Intercept:
0
x
y
0
0
1
2
Step-by-step explanation:
There is a game at the carnival that costs $20 to play. There are two outcomes: either you win $100 , or you lose.
To play you roll a die. If a six appears you win; all other rolls you lose. What is the mean (or the expected value) of the game?
A. -$1.66
B. -$3.33
C. $1.66
D. $3.33
Answer:
I would say that the answer is a. because I would go with the lowest one knowing that if I roll anything other than six, I lose this game is designed for you to nearly lose, so I would go with the lowest choice which is a. since i have a lower chance at winning.
Step-by-step explanation: please mark this brainliest and I will be glad to help anytime.
Need help ASAP. MUST be correct. 10 points. Thanks
ΔABC and ΔDBE are similar. Therefore the side are in proportion:
[tex]\dfrac{DE}{DB}=\dfrac{AC}{AB}[/tex]
DE = 3x - 5
DB = a
AC = 20
AB = a + a = 2a
Substitute:
[tex]\dfrac{3x-5}{a}=\dfrac{20}{2a}[/tex] cross multiply
[tex]2a(3x-5)=20a[/tex] divide both sides by 2a ≠ 0
[tex]3x-5=10[/tex] add 5 to both sides
[tex]3x=25[/tex] divide both sides by 3
[tex]x=\dfrac{25}{3}[/tex]
[tex]\boxed{x=8.\overline{3}}[/tex]
When the quadratic expression is written in standard form, a=1, b=-3 and c=2
The standard form of quadratic equation for given points is x² - 3 x + 2 =0.
What is standard form of quadratic equation?The standard form of quadratic equation is given by ax² + bx + c = 0.
where a , b , c are the constant .
Given,
The value of a, b, c as 1 , -3, 2 respectively.
Putting the value a, b, c in the standard form
we get x² - 3 x + 2 =0.
So, The standard form of quadratic equation for given points is x² - 3 x + 2 =0.
To find more question related to quadratic equation click on the link below:
https://brainly.com/question/23854173
#SPJ2
If the measure of ab is 134 what is the measure of abc , the tangent-chord angle
The answer is 67 for apex!
Answer:
The measure of ∠ABC is 67°.
Step-by-step explanation:
Consider the provided figure:
Tangent chord angle = [tex]\frac{1}{2}[/tex] intercepted arc
Now consider the provided figure;
Substitute the value of intercepted arc = 134° in the above formula.
Tangent chord angle = [tex]\frac{1}{2}\times134[/tex]
Tangent chord angle = [tex]67[/tex]
Hence, the measure of ∠ABC is 67°.
Which equation does not represent a linear function?
a. y = 2
b. y = x^2 + 9
c. y = x
d. y = -8x + 1
Is 4/25 terminating or non-terminating?
Answer:
terminating decimal
Step-by-step explanation:
Terminating decimals stop, non terminating decimals go on forever.
4/25
Multiply the top and bottom by 4
4/25*4/4 = 16/100
.16
This is a terminating decimal
Last week Jonah spend
6 1/2 hours on homework Jan spent 3/4 as many hours on homework as Jonah. How many hours did they both spend on homework in all ?
Answer:
They spent 7 1/4 hours on homework
Step-by-step explanation:
you can take out 2/4 from 3/4 and make it into 1/2 and 1/2 + 1/2 = 1
1 + 6 = 7
the only fraction left is 1/4 so,
Jonah and Jan spent a total of 7 1/4 hours on homework.
or
you can make 1/2 into 2/4 and add 3/4 and 2/4 together which gives you the same answer:
7 1/4 hours on homework
make brainliest pls
Final answer:
Jonah and Jan spent a total of 16 1/4 hours on homework.
Explanation:
To find the total number of hours Jonah and Jan spent on homework, we need to first calculate Jan's homework hours. Jan spent 3/4 as many hours on homework as Jonah, which means Jan spent (3/4) x (6 1/2) = 3/2 x 13/2 = 39/4 = 9 3/4 hours on homework.
To find the total hours they both spent on homework, we add Jonah's and Jan's hours together: 6 1/2 + 9 3/4 = 13/2 + 39/4 = (26 + 39)/4 = 65/4 = 16 1/4 hours.
Therefore, Jonah and Jan spent a total of 16 1/4 hours on homework.
how to answer this questions
The perimeter of a rectangular campsite is 64 cm and its area is 207 cm. Find the length and the breadth of the rectangle.
Answer: w = 9 cm, L = 23 cm
Step-by-step explanation:
P (Perimeter) = 2L(length) + 2w(width)
A (Area) = L (length) x w (width)
Use the formulas above to create a system of equations, then solve using the substitution method.
P = 2L + 2w
64 = 2L + 2w
32 = L + w
32 - w = L ←←← use this to substitute for L in the Area equation
A = L · w
207 = (32 - w)w
207 = 32w - w²
w² - 32w + 207 = 0
(w - 23)(w - 9) = 0
w - 23 = 0 w - 9 = 0
w₁ = 23 w₂ = 9
Now, solve for L:
L₁ = 32 - w₁ L₂ = 32 - w₂
= 32 - 23 = 32 - 9
= 9 = 23
We have 2 sets of solutions (w₁ , L₁) and (w₂ , L₂)
(23, 9) and (9, 23)
Notice that they are the same values but in reverse order. These are the dimensions of the rectangle. We generally consider width (w) to have the smaller value. So, w = 9 and L = 23
My sister needs help! She’s in 3rd grade
Classify the sequence (an) =(1,16,31,46,...) as arithmetic, geometric, or neither. If there is not enough information to classify the sequence, choose not enough information.
Answer:
arithmetic
Step-by-step explanation:
It is arithmetic because the terms go up by 15 . That is the common difference is 15.
Answer:
it is an arithmetic sequence
Step-by-step explanation:
general formula of arithmetic progression is
an=a1+(n-1)d
we are given
a1=1
a2=16
we can find d
d=a2-a1=16-1=15
d=a3-a2=31-16=15
d=a4-a3=46-31=15
as we can see that there is a common difference d =15 between successive terms of the this sequence
hence it is a arithmetic sequence
Find the area and perimeter of the triangle below. Show all work.
Answer:
Area = 20.52 cm^2 and Perimeter = 28.68 cm.
Step-by-step explanation:
Use Pythagoras theorem to find the base of the triangle.
a^2 = 6^2 - 3^2 = 27
a = sqrt27
b^2 = 9^2 - 3^2 = 72
b = sqrt72
Base = sqrt27 + sqrt72
= 13.68
So Area = 0.5 * 13.68 * 3
= 20.52 cm^2 (answer)
Perimeter = 9 + 6 + 13.68
= 28.68 ( answer).
After recording the pizza delivery times from 2 different shops you concluded that one pizza shop has a mean of 46 minutes with a standard deviation of 3 minutes, The other shop has a mean of 45 minutes with a standard deviation of 19 minutes. Interpret these figures. Which shop would you order fro and why?
Hi There!
Step-by-step explanation:
Standard Deviation - tells you the avearage of how far apart each number in the set values is away from the mean.
Shop 1:
Mean = 46
Standard Deviation = 3
Shop 2:
Mean = 45
Standard Deviation = 19
I would choose shop 1 because even though it has a 1 more minutre of the mean it has a less of a standard deviation. That means that Shop 2 has a set of values that are far apart than shop 1.
Answer:
Shop 1
Hope This Helps :)
A cell phone provider offers a plan that costs $40 per month plus $0.20 per text message sent or received. A comparable plan costs $60 per month but offers unlimited text messaging. Complete parts a. and b. below.
b. If you send or receive an average of 200 text messages each month, which plan would you choose? Why?
Answer:
x = number of text messages sent
0.2x+40=50
0.2x = 10
5(0.2x) = 5(10)
x = 50
Therefore, 50 text messages would have to be sent or received in order for the plans to cost the same each month.
Step-by-step explanation:
what is the value of x and y
X is equal to 15 and y is equal to 17
So the answer to this is A .x=15, y=17
help me with this problem plzzzz
Answer:
7= 137
6= 43
8=43
Step-by-step explanation:
well 7 would be the same angle as 137
and 6 and 8 are the same angle
so u already know that
7= 137
now to find 6 0r 8 u just need to subtract 137 from 180 to get
6= 43
8= 43
Answer:
see explanation
Step-by-step explanation:
∠7 = 137° ( vertically opposite angle )
∠8 = 180° - ∠7 = 180° - 137° = 43° ( straight angle )
∠6 = ∠8 = 43° ( vertically opposite angles )
Jack is 5 times younger than her mother. In 6 years, Jack will be three times younger than her mother. How old is each now?
Answer:
Jack is 6 and Mom is 30
Step-by-step explanation:
J = Jacks age
M = Mom's age
5J = M
In 6 years, so add 6 to the age
3(J+6) = (M+6)
We have a system of 2 equations and 2 unknowns
Lets simplify the 2nd equation
3(J+6) = (M+6)
3J + 18 = M+6
Substituting M =5J
3J + 18 = 5J +6
Subtract 3J from each side
3J-3J + 18 = 5J-3J +6
18 = 2J+6
Subtract 6 from each side
18-6 = 2J+6-6
12 = 2J
Divide each side by 2
12/2 = 2J/2
6=J
Jack is 6
We still need to find Mom's age
M = 5J
= 5*6
=30
Mom is 30
The amount of paint that David needs to cover a cube is directly proportional to the surface area. If David can completely cover a cube of side length 2 feet with exactly 16 quarts of paint, how big a cube (in terms of edge length in feet) can David cover with 169 quarts of paint?
Final answer:
To find the size of a cube that David can cover with 169 quarts of paint, set up a proportion and solve for the edge length, David can cover a cube with an edge length of approximately 5.31 feet using 169 quarts of paint.
Explanation:
To find the size of a cube that David can cover with 169 quarts of paint, we need to use the direct proportion between the amount of paint and the surface area of the cube. Let x be the edge length of the cube. The surface area of a cube is given by[tex]6x^2[/tex]can set up the proportion:
[tex]16 quarts / 2 feet^2 = 169 quarts / (6x^2)[/tex]
Cross-multiplying and then solving for x, we get:
[tex]x^2 = (2^2 * 169) / 16[/tex]
[tex]x^2 = 28.1875[/tex]
x = sqrt(28.1875)
x ≈ 5.31 feet
Therefore, David can cover a cube with an edge length of approximately 5.31 feet using 169 quarts of paint.
if he bought 215 lbs of cement and his son brought another 137 lbs how much cement did he have orinally if he now has 450.
Answer: 98
450-215-137=98
Step-by-step explanation:
a factory makes parts for toys in different quantities,as shown in the table. how much would 11 part cost?
Answer can you show use the graph then i would be able to answer it
Lee likes to water ski on his brother's boat and plans to ski for two days in a row. The boat takes two gallons of gas each hour to run. if the price of gas is $5 per gallon, how much money will he spend on gas just ski for 6 hours each day?
Answer:
120 dollars
Step-by-step explanation:
6 hours per day, for 2 days, leads to a total of 12 hours (2*6 = 12)
If it takes 2 gallons of gas to run the boat for 1 hour, then it will take 24 gallons to run for 12 hours. We can see this if we have the ratio below
2 gallons: 1 hour
12*(2 gallons): 12*(1 hour) .... multiply both sides by 12
24 gallons: 12 hours
Now multiply this gallon count (24) by the cost per gallon ($5) and we get to 5*24 = 120
in a survey, 16% of the people said they live in a city. if 320 people said they live in a city, how many people were surveyed? show your work. ( question 12 )
Answer: choice B) 2,000 people
=================================
Let x be the number of people surveyed. This is simply a placeholder for the number.
16% of x is going to be equal to 320, so we know that 0.16*x = 320. Recall that 16% converts to the decimal form 0.16 after moving the decimal point two spots to the left.
Divide both sides by 0.16 to isolate x fully
0.16*x = 320
0.16*x/0.16 = 320/0.16
x = 2000
Therefore, 2000 people were surveyed
Answer:
2000 people were surveyed
Step-by-step explanation:
This means that 16 percent of the people surveyed = 320 people surveyed. We need to find the total amount of people, right?
Percentages are always out of 100. And let's say that x is the total amount of people surveyed.
16/100 = 320/x. This is the equation we need to solve.
To solve this, we need to find the denominator of 320/x.
The simplest way to do this is to realize that you can multiply 20 by 16 to get to 320.
Since you multiplied 16 by 20, you also need to multiply 16/100's denominator by 20. 100 times 20 equals 2000.
This means that the answer is 2000 people. There were 2000 people surveyed
What is the slope-intercept form of the function that contains the point (8, 12) and has a slope of −2? y = x +
Answer:
y = -2x+28
Step-by-step explanation:
We have the slope and a point, so we can use the point slope form to make a line
y-y1 = m(x-x1)
y-12 = -2(x-8)
Distribute the -2
y-12 = -2x+16
Add 12 to each side
y-12+12 = -2x+16+12
y = -2x+28
This is the slope intercept form of the line
Every minute,
2.2
gallons of water flows from a shower. A family of
5
people showers for an average of
9
minutes per person every morning.
Answer:
Step-by-step explanation: If you are trying to figure out how many gallons the whole family uses, the answer is 99 gallons.The reason is is because it says 2.2 gallons a minute and it takes 9 minutes for a shower. So you multiply 9 by 2.2 which would give you 19.8. Then you multiply it by 5 isnce it says 5 people take a shower.
Answer:
99 gallons
Step-by-step explanation:
Let as assume we need to find how many gallons of water does the family use for showering every morning.
It is given that every minute 2.2 gallons of water flows from a shower.
Total number of family members = 5
Average time of shower = 9 minutes per person every morning.
Total time of shower = [tex]9\times 5=45[/tex] minutes
1 minute = 2.2 gallons
45 minute = 2.2 × 45 gallons
45 minute = 99 gallons
Therefore, in every morning 99 gallons of water was used by the family
A theater charges $9.50 for adults and $6 for children. Which expression shows the total cost of buying 3 adult tickets and 2 children’s tickets?
Answer:9.5*3+6*2
Step-by-step explanation:
You multiply each price by the number that they want to buy
Your odometer read 12,3686. You drove your car until the odometer read 16,282 and had used 203 gallons of gasoline. How many miles per gallon has your car been getting? Round answer to the nearest ten (10)
Answer:
80 miles per gallon
hope it helps
Step-by-step explanation:
to find the miles per gallon you would have to divide the miles driven (16,282) by gallons used (203) to find how many miles per gallon wasted
16,282 ÷ 203 = 80.2
80.2 rounded to the nearest 10 = 80 miles per gallon