A cylindrical water tank near the town library is 20 meters high and has a circumference of 39 meters. What is the approximate volume, to the nearest whole number, of the water tank? Use 3.14 as an approximation for π and round to the nearest whole number.
Step-by-step explanation:
height of the cylindrical tank = 20m
circumference of the tank = 39m
volumn of tank =
perimetre formula = 2πrh
= 2 x 3.14 x r x 20 = 39
= 188.4r = 39
r = 188.4/39
r = 4.83
volumn = πr^/2
h
= 3.14 x 4.83^2 x 2 x 20
= 1465.05
volumn of tank = 1465.05
Isaac is deciding between two truck rental companies. Company A charges an initial fee of $75 for the rental plus $1.50 per mile driven. Company B charges an initial fee of $45 for the rental plus $2.50 per mile driven. Let A represent the amount Company A would charge if Isaac drives x miles, and let B represent the amount Company B would charge if Isaac drives x miles. Write an equation for each situation, in terms of x, and determine the interval of miles driven, x, for which Company A is cheaper than Company B.
Answer:
A= 1.50x+75 B= 2.50x+45
Company A is cheaper than Company B when x > 30 miles.
Step-by-step explanation:
Company A charges$75 for the rental even when driving x=0 miles, and will charge and additional $1.50 per mile driven. Therefore the amount Company A would charge for xx miles is:
A=1.50x+75
Company B charges $45 for the rental even when driving x=0 miles, and will charge and additional $2.50 per mile driven. Therefore the amount Company B would charge for x miles is:
B=2.50x+45
When x takes less than 30 miles, Company A is cheaper than Company B. This is the equation of price that companies i.e. A = 1.50x+75 and B= 2.50x + 45.
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
When driving x = 0 miles, Company A charges $75 for the rental and an additional $1.50 for each mile driven. Thus, the price that Company A would charge for x miles is as follows:
⇒ A = 1.50x + 75
When driving x = 0 miles, Company B charges $45 for the rental and an additional $2.50 for each mile driven. Thus, the price that Company B would charge for x miles is as follows:
⇒ B = 2.50x + 45
Hence, when x takes less than 30 miles, Company A is less expensive than Company B. This is the equation of price that companies i.e. A = 1.50x+75 and B= 2.50x + 45.
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An athlete runs 8 miles in 50 minutes on a treadmill. At this rate how far can the athlete run in 1 hour?
Answer:
9.6
Step-by-step explanation:
8/50=x/60
cross multiply
50x=480
x=9.6
The measures of the angles of a triangle are shown in the figure below. Solve for x. (3x+12) 54°
Answer:
14
Step-by-step explanation:
What is the answer of this plz tell if u know
[tex]15 + 2 \times ( - 3) - 10 \div ( - 5) [/tex]
Step-by-step explanation:
5+2•(-3)-10/(-5)
15+2•(-3×2)
15+2•-6
15-12
3
So; the answer is 3
Item 3 Find the slope of the line that contains (-2,-2) and (-10,-9
Answer:
[tex]m=\frac{7}{8}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-2, -2)
Point (-10, -9)
Step 2: Find slope m
Substitute [Slope Formula]: [tex]m=\frac{-9+2}{-10+2}[/tex]Add: [tex]m=\frac{-7}{-8}[/tex]Simplify: [tex]m=\frac{7}{8}[/tex]Help. Please look at the picture. Thanks.
Answer:
Monday: 2 hours
Tuesday: 7 miles
Thursday: 27 miles
Friday: 2 hours
Step-by-step explanation:
Monday: 16 divided by 8 = 2
Tuesday: 21 divided by 3 = 7
Thursday: 9 x 3 = 27
Friday: 16 divided by 8 = 2
I hoped this helped
3/4n=-1 3/4n-18
Step by step please
Answer:
Solving the expression [tex]\frac{3}{4}n=-1\frac{3}{4}n-18[/tex] we get [tex]\mathbf{n=-\frac{36}{5} }[/tex]
Step-by-step explanation:
We need to solve the expression: [tex]\frac{3}{4}n=-1\frac{3}{4}n-18[/tex]
Solving:
[tex]\frac{3}{4}n=-1\frac{3}{4}n-18[/tex]
First we convert mixed fraction into improper fraction
[tex]\frac{3}{4}n=-\frac{7}{4}n-18[/tex]
Now adding 7/4 n on both sides
[tex]\frac{3}{4}n+\frac{7}{4}n=-\frac{7}{4}n-18+\frac{7}{4}n\\\frac{3}{4}n+\frac{7}{4}n=-18[/tex]
Now, taking LCM on left side
LCM of 4 and 4 is 4
[tex]\frac{3}{4}n+\frac{7}{4}n=-18\\\frac{3*1n+7*1n}{4}=-18\\\frac{3n+7n}{4}=-18\\\frac{10n}{4}=-18[/tex]
Now, multiply both sides by 4/10
[tex]\frac{10n}{4}\times \frac{4}{10} =-18\times \frac{4}{10}\\n=-\frac{36}{5}[/tex]
So, solving the expression [tex]\frac{3}{4}n=-1\frac{3}{4}n-18[/tex] we get [tex]\mathbf{n=-\frac{36}{5} }[/tex]
Dexter runs around a track at 10 laps in 20 minutes. How many minutes per lap is that?
Answer:
10 minutes
Step-by-step explanation:
Answer: that would be 83 seconds a lap i believe
Ps: this dexter kid is really fast
Step-by-step explanation:
I hope this helps if not sorry :(
Helpppppppppppppppppppppplpp
Answer:
x=1
Step-by-step explanation:
Using quadratic formula
Please help ASAP !!!!!
Answer:
(goh) (0) = 4
Step-by-step explanation:
Given that,
g(x) = 2x
h(x) = x² + 4
We need to find the value of (goh) (0).
Firstly we find (goh),
(goh) = g(h(x))
=g(x²+4)
(goh) (0) = 0²+4
=4
Hence, the required answer is 4.
Find the unit vector of -2i - j.
Answer:
maybe a
Step-by-step explanation:
(-2/3)3 = (-2/3) (-2/3) (-2/3) =
Answer:
-0.296296296296...
Answer:
TRUE/ −0.296296
Step-by-step explanation:
(-2/3)^3 = (-2/3) (-2/3) (-2/3) =
−0.296296=−0.296296
True
A scuba diver is 3 meters below sea level. If the diver descends another 8 meters, what is the scuba diver’s position?
Answer:
11 meters below sea level or -11
Step-by-step explanation:
think of a number line. sea level is 0. if the diver is 3 meters down, he's -3 from 0; then he descends another 8 or -8 for a total of -11.
i'm not sure which way you need to write the answer so i've provided both; hope this helps
Please answer I really need help!!
1,A ladder with nine rungs is to be built, with the bottom rung 24cm. wide and the top rung
18cm. wide. If the length of the rungs decreases uniformly from bottom to top, how long
should each of the seven intermediate rungs be?
3,Find the first term of the sequence 10, 5, 2.5, 1.25, . . . which is less than 0.0001.
3,In an arithmetic sequence, if the p
th term is q and the q
th term is p, find the (p + q)
th term.
Answer:
bottom rung 24cm. wide and the top rung
18cm. wide. If the length of the rungs decreases uniformly from bottom to top, how long
should each of the seven intermediate rungs be?
3,Find the first term of the sequence 10, 5, 2.5, 1.25, . . . which is less than 0.0001.
3,In an arithmetic sequence, if the p
th term is q and the q
th term is p, find the (p + q)
th term.
Which statement best explains the relationship between
lines FG and HJ?
V
2
х
O They are perpendicular because their slopes are
equal
They are perpendicular because their slopes are
negative reciprocals.
O They are not perpendicular because their slopes are
equal.
They are not perpendicular because their slopes are
not negative reciprocals.
Answer: They are not perpendicular because their slopes are not negative reciprocals.
Step-by-step explanation:
For these two lines to be perpendicular, their slopes have to be negative reciprocals.
Slope of FG.
F = (-4, 1)
G = (0, -2)
= (Y₂ - Y₁) / (X₂ - X₁)
= (-2 - 1) / (0 + 4)
= -3/4
Slope of HJ
J = (0 , 4)
H = (-4, -2)
Slope = (Y₂ - Y₁) / (X₂ - X₁)
= (-2 - 4) / (-4 -0)
= 6/4
= 3/2
The slopes of these lines are not negative reciprocals so these lines are not perpendicular.
renting company Charge 35 per day to rent
a boat allong with a 50$ one-time cleaning fee.
Enter the equation in y=Mx+b form
Answer:
y=35x+50
Step-by-step explanation:
The 50 is a one-time fee, therefore it is shown as addition
35 per day means that for 3 days, you would pay 105
X represents the number of days
Which number line shows the solution to the inequality -3x -5 < -2
Answer:
x > -1
See picture.
Step-by-step explanation:
[tex]-3x-5<-2\\\\-3x-5+5<-2+5\\\\-3x<3\\\\\frac{-3x<3}{-3}\\\\\boxed{x>-1}[/tex]
Hope this helps.
The solution of the given inequality -3x - 5 < -2 is x > -1.
What is inequality ?Inequality is comparing of two non-equal expressions or terms.In linear inequality variables have highest degree of 1.It shows that one value is less than, greater than, less than or equal to or greater than or equal to other.
According to the given question we have to find the solution of the given inequality -3x -5 < -2.
-3x - 5 < - 2
-3x < 3
3x > -3 ( Think of moving the terms to other side to make x positive )
x > 3/-3
x > - 1.
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Simplify -6
.
2
041
318
4
8
318
[tex] - 6 \frac{1}{4} - ( - 2 \frac{1}{8} )[/tex]
[tex] = - 6 \frac{1}{4} + 2 \frac{1}{8} [/tex]
[tex] = \frac{ - 25}{4} + \frac{17}{8} [/tex]
[tex] = \frac{ - 50}{8} + \frac{17}{8} [/tex]
[tex] = \frac{ - 50 + 17}{8} [/tex]
[tex] = \frac{ - 33}{8} [/tex]
[tex] = - 4 \frac{1}{8} [/tex]
What is 80% of 92? you will get 23 points if you answer. lol
Answer:
368/5
Step-by-step explanation:
hope it helps
.........
Answer:
73.6
Step-by-step explanation:
80% = 0.8
0.8 * 92 = 80% of 92
0.8 * 92 = 73.6
80% = 73.6
:3))
Identify the pair of angles shown in the picture
Answer:
Adjacent
Step-by-step explanation:
Angles WYX and XYZ are next to eachother.
if M is the midpoint of AB, find the co-ordinator of a/ A if the co-ordinator of M and B are M(2,8) and B(-4,19)
Answer:
M (2,8)= (x1y1)
B(-4,19)= (x2y2)
here,
midpoint = (x1+x2/2) (y1+y2/2)
= ( 2+ (-4)/2) (8 +19/2)
= (-2/2) (27/2)
= -1, 13.5
Step-by-step explanation:
by using midpoint formula
A detective determines that the number of robberies on a given day and the number of days since the start of the month can be modeled by a square root function. On the fourth day of the month, there were 4 robberies. On the ninth day of the month, there were 6 robberies. On the sixteenth day of the month, there were 8 robberies. Which points should be plotted to graph this function?
A. (2, 2) , (3, 3) , (4, 4)
B. (4, 4) , (9, 6) , (16, 8)
C. (4, 2) , (9, 3) , (16, 4)
D. (2, 4) , (3, 6) , (4, 8)
Answer:
B. (4, 4) , (9, 6) , (16, 8)Step-by-step explanation:
Describes pairs are:
(4, 4), (9, 6) and (16, 8)This is matching the option B
Answer:
B. (4,4), (9,6), (4,4)
Step-by-step explanation:
:)
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:A function should pass the vertical line test.
Graph each of the functions to determine whether it passes the vertical line test.
Set #1 is a function
Set #2 is a function
Set #3 is not a function
Set #4 is not a function
Set #5 is not a function
Set #6 is not a function
Step-by-step explanation:
if the cost of 1 packet biscuit is Rs.17.50,what is the cost of 8 packets of biscuits?
The table and graph both represent the same relationship. Which
equation also represents that relationship?
Х
у
-2
4
3
-1
1
2
0
0
1
NA
4
х
-2
-1
o
1
2
y = x
y = x2
y = -2x + 8
y = 2x2 + 2
Answer:
We conclude that all the points of the table satisfy the equation y = x²
Hence, the option containing the equation y = x² is true.
The graph of y = x² is also attached below.
Step-by-step explanation:
Given the table
x y
-2 4
-1 1
0 0
1 1
2 4
Let us substitute the x-values of the table in the equation
y = x²
plun in x = -2
y = (-2)² = 4
so the point (2, 4) lies on the graph of y = x²
y = x²
plun in x = -1
y = (-1)² = 1
so the point (-1, 1) lies on the graph of y = x²
y = x²
plun in x = 0
y = (0)² = 0
so the point (0, 0) lies on the graph of y = x²
y = x²
plun in x = 1
y = (1)² = 1
so the point (1, 1) lies on the graph of y = x²
y = x²
plun in x = 2
y = (2)² = 4
so the point (2, 4) lies on the graph of y = x²
Therefore, we conclude from the above calculations that all the points of the table satisfy the equation y = x²
Hence, the option containing the equation y = x² is true.
The graph of y = x² is also attached below.
An airline estimates that each passenger with baggage weighs 205 pounds.
A gallon of fuel weighs 5 pounds
An airplane can carry 495 passengers and 49,500 gallons of fuel.
Estimate how much an airplane can carry
Options:
A: 300,000 pounds
B: 400,00 pounds
C: 350,000 pounds
Answer:
The estimated weight that the airplane can carry is: Option C: 350,000 pounds
Step-by-step explanation:
Given that each individual weighs 205 pounds with baggage and one gallon of fuel weighs 5 pounds.
We will work out the passengers weight first.
For Passengers:
Let w be the total weight of all passengers
[tex]w = weight\ of\ one\ passenger * number\ of\ passengers\\w =205 * 495\\w =101475\ pounds[/tex]
For Fuel:
Let f be the total weight of fuel
Then
[tex]f = Weight\ of\ one\ gallon * Number\ of\ gallons\\f = 5 * 49500\\f =247500[/tex]
Total weight = 101475 + 247500 = 348975 pounds
As 350000 is nearest to the calculated answer, it will be the right answer.
Hence,
The estimated weight that the airplane can carry is: Option C: 350,000 pounds
First term: 2 3/4 sixth term: 3 7/12
Answer:
We conclude that the rule will be:
aₙ = 31/12 + 1/6n
Step-by-step explanation:
Answer:
we conclude that the rule will be:
[tex]a_n=\frac{31}{12}+\frac{1}{6}n[/tex]
Step-by-step explanation:
Given
[tex]a_6=3\frac{7}{12}=\frac{43}{12}[/tex][tex]a_1=2\frac{3}{4}=\frac{11}{4}[/tex]The nth term of Arithmetic Sequence
We know the arithmetic sequence with the common difference is defined as
[tex]a_n=a_1+\left(n-1\right)d[/tex]where a₁ is the first term and d is a common difference.
To Determine:
The Rule of the nth term of Arithmetic Sequence
Steps to solve the problem
The 6th term of the Arithmetic sequence be defined as
a₆ = a₁ + (6-1) d
substituting a₆ = 43/12 and a₁ = 11/4 to determine d
43/12 = 11/4 + 5d
switch sides
11/4 + 5d = 43/12
subtract 11/4 from both sides
11/4 + 5d - 11/4 = 43/12 - 11/4
5d = 5/6
Divide both sides by 5
5d/5 = [5/6] / [5]
d = 1/6
as
a₁ = 11/4
d = 1/6
Therefore, the nth term of the Arithmetic sequence will be:
[tex]a_n=a_1+\left(n-1\right)d[/tex]
substituting d = 1/6 and a₁ = 11/4
aₙ = 11/4 + (n-1) × 1/6
= 11/4 + 1/6n - 1/6
= 31/12 + 1/6n
Therefore, we conclude that the rule will be:
aₙ = 31/12 + 1/6n
If $350 is divided into two portions in the ratio 2 to 5 what is the smaller portion
The ratio is 2 : 5 and the smaller portion is 100
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total amount be A = $ 350
Now , the ratio is 2 : 5
So , the total ratio is = 2x + 5x
= 7x
And, the value 7x = total amount
So , 7x = 350
Divide by 7 on both sides of the equation , we get
x = 50
So , the number 350 in the ratio 2 : 5 is 100 : 250
Hence , the smaller portion is 100
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