Answer: 4.8 hours
Step-by-step explanation:
Given
The castle must be guarded 24 hr by 5 knights
If duty is split equally among them
No of hours spent by each knight on duty
[tex]\Rightarrow n=\dfrac{24}{5}=4.8\ \text{hours}[/tex]
Therefore, each guard must serve a duty of 4.8 hours
Felipe calculated that he uses about 545 gallons of fuel each year. His car's owner's manual says that it is approved to use regular fuel. How much money can he save each year by switching from premium fuel, at $4.59 per gallon, to regular fuel at $4.18 per gallon?
$0.41
$2,501.55
$223.45
$2,278.10
$4,779.65
Answer:
$223.45
Step-by-step explanation:
premium fuel: 4.59 x 545
= 2501.55
regular fuel: 4.18 x 545
=2278.1
2501.55-2278.1 = 223.45
What is the equation of the line that passes through the points (15,9) and (-2, 9)?
Oy - 9
11
Oy ----x+ 9
Oy=-17
Oy - 6x + 11
Answer:
c
Step-by-step explanation:
Using the dimensions shown, you could create a rectangular prism. Caculate the surface area for the rectangular prism. A 30m2 b 56m2 c 60m2 d 112m2
Answer:
550ft²
Step-by-step explanation:
Since we are not given the dimension of the rectangular prism. Let us assume;
Length of the rectangular base L = 10ft
Width of the rectangular base W = 15ft
height of the prism H = 5ft
Total surface area of the prism = 2(LW + WH + LH)
Substitute the given values
Total surface area of the prism = 2{10*15 + 15*5 + 10*5}
Total surface area of the prism = 2(150+75+50)
Total surface area of the prism = 2(275)
Total surface area of the prism = 550ft²
Sara puts $4,000 into an investment yielding 5% annual simple interest; she left the money in for five years and 6 months. How much interest does Sara get at the end of those five years and 6 months?
Answer: [tex]\$1100[/tex]
Step-by-step explanation:
Given
Principal amount is [tex]P=\$4000[/tex]
Rate of interest [tex]R=5\%[/tex]
Time period [tex]T=5\ yr\ \text{and}\ \text{6 months}\equiv 5.5\ yr[/tex]
We know, Simple interest is
[tex]\Rightarrow S.I.=\dfrac{P\times R\times T}{100}[/tex]
Putting values
[tex]\Rightarrow S.I.=\dfrac{4000\times 5\times 5.5}{100}=\$1100[/tex]
Sara gets [tex]\$1100[/tex] after 5 years and 6 months
true or false justify your answer
integers are rational numbers
3 squared can be written as a fraction
whole numbers are irrational
Michael has $68. Craig has $24 less than Michael has. Michael spends $20 on a new hat. Part A: Write an equation where the solution represents the amount of money (x), in dollars, Craig has after Michael buys the hat. Explain how you came to this equation. Part B: Now, Craig buys some socks. He has $16 left. Write an equation where the solution represents the amount of money (y), in dollars Craig spent on socks. Show how you know this is the correct equation.
Answer:
a) x + 4 = 48
b) y + 16 = 44
Step-by-step explanation:
a) Michael has $28 and Craig has $24 less than Michael. Let x represent the amount of money that Craig has. Hence:
x = 68 - 24
x + 24 = 68
Given that Michael spends $20 on a new hat. Therefore we subtract 30 from both sides of the equation:
x + 24 - 20 = 68 - 20
x + 4 = 48
x = $44
b) If y represent the amount of money that Craig spent on buying socks. He has 16 remaining.
Therefore:
44 - y = 16
y + 16 = 44
y = $28
Isaac received 125 for his birthday. He spent 65 on a new video game. How much money, x, how much does issac have
Answer: $60
Step-by-step explanation:
Find the area. The figure is not drawn to scale.
Answer:
A = 1/2 (13) ( 9 +9)
A = 1/2 (13) (18)
A = 117
Find the value of x, image attached below
Answer:
x = 10
Step-by-step explanation:
Sum of angles in a triangle is 180° , so
35° + (5x + 7)° + (9x - 2)° = 180°
The value of x can now be found by solving the linear equation.
5x + 9x + 35 + 7 - 2 = 180
14x + 40 = 180
14x = 180 - 40
14x = 140
x = 140/14
x = 10
May someone please help me with this :)
A package of sliced cheese weighs 2 1/4 pounds and costs $18. If 3 slices weigh a total of 2 ounces, how much do the 3 slices cost?
mathematic uh coordinate planes ty and brainlist for the first person to answerr it right
Answer:
Me puedes informar mas?
Step-by-step explanation:
A television channel broadcasts a baseball game every day. Yesterday's broadcast showed the game for 2 5/6 hours and commercials for 2/3 hour. At this rate, how many hours does the television channel show a game for every hour it shows commercials during its broadcasts?
Answer:
4.25 hours
Step-by-step explanation:
Given that :
Game broadcast time = 2 5/6 hours = 17/6 hours
Commercials time = 2/3 hours
2/3 hours of commercials = 17/6 of game broadcast
1 hour of commercials = x hours of game broadcast
Cross multiply ;
(2/3)x = 17/6
2x * 6 = 17 * 3
12x = 51
x = 51 / 12
x = 4.25
For every hour it shows commercials, game is broadcasted for 4.25 hours
Your stock is worth $50 in 2010. Each year the value increased by 5%. Write a function to
model this situation. Use y to represent the value of the stock and x to represent the number of years since 2010
Answer:
It adds by +5
Step-by-step explanation:
Piere is an electrician
He uses this formula to work out the amount ,$c , to charge for a job that takes ×hours
C=20+30×
He starts a job at 9 30 and finishes at 1 pm
Work out his charge for this job
Pls show me formula
Answer:
c=$125
Step-by-step explanation:
9:30--12:30 is three hours, then another half hour till 1pm total hours is 3.5
c = 20+30*3.5
c=20 + 105
c = 125
The charge for Piere's work is $125 by using the formula C = 20+30x.
What is a linear equation?A Linear Equation is an equation of a line. An equation in which the highest power of the variable is always 1. An equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.
For the given situation,
Let the amount in dollar,$ be C.
Let the hours be x.
The equation is C = 20+30x.
He starts a job at 9:30 and finishes at 1 pm. So, the time x is 3.5 hours.
⇒ [tex]1pm-9:30 am=3.5 hours[/tex]
Thus charge for the electrician is
⇒ [tex]C=20+30(3.5)[/tex]
⇒ [tex]C=125[/tex]
Hence we can conclude that the charge for Piere's work is $125 by using the formula C = 20+30x.
Learn more about linear equations here
brainly.com/question/12812367
#SPJ2
there are y amount of boats in a lake
there are 6 people in each boat.
write an expression in terms of Y for the total number of people in the boats
Answer:
6y
Step-by-step explanation:
Our variable is y
We know that there are 6 people in each boat
Simply multiply 6 and y => 6y
Find the 8th term in the following geometric sequence.
28, 14, 7, 3.5, ...
Answer:
0.21875
Step-by-step explanation:
if the common ratio is 0.5 keep multiplying till the eight term
3.5 ×0.5=1.75 fifth term
1.75×0.5=0.875 sixth term
0.875×0.5=0.4375 seventh term
0.4375×0.5=0.21875 eight term
Therefore the eight term is 0.21875
15. B(-2, -9), C(0,-5), D(6,-3), E(4, -7)
Answer:
BC= 2√5
CD= 2√10
DE= 2√5
BE= 2√10
slope of BC = 2
slope of CD = 1/3
slope of DE = 2
slope of BE = 1/3
Step-by-step explanation:
formula for distance = √(x2-x1)²+(y2-y1)²
formula for slope = (y2-y1)/(x2-x1)
PLEASEEEEEEEE HELPPPPPPP
The opposite sides of a parallelogram are _____?
Answer:
parallel
Step-by-step explanation:
Answer:
A parallelogram is a quadrilateral
Her why:
whose opposite sides are parallel. The opposite angles of a parallelogram are equal. The opposite sides of a parallelogram are equal.
Which one is smaller
Answer:
Jasmine
Step-by-step explanation:
Michelle: .75
Mike: .66
Rasheed: .83
Jasmine: .57
Solve these simultaneous equations:
6x + 8y = 36 6x + 5y = 27
Answer:
Y = 3
X = 2
Step-by-step explanation:
(6x2) = 12
(8x3) = 24
12 + 24 = 36
(6x2) = 12
(5x3) = 15
12 + 15 = 27
how many possibilities are there if you toss coin 7 times
each toss results in 2 possible outcomes, head or tail so the number of possible outcomes for 7 would be
Answer:
2^7
2x2x2x2x2x2x2 = 2^7
Which equation is written in slope intercept form?
a) 2x + 8 = 4y
b) 2x + 7y = 1
c) y = - 4x + 11
d) x = x +4
I NEED HELP WITH THIS!!!! PlS HELP! I will mark you as b
Will give brainiest to correct answer with explanation
1. on Thursday, John drove 3x - 6 miles. On Friday, he drove 2x - 8 miles. What is
the difference in miles driven?
Answer:
The answer is 1x+(-14)
Step-by-step explanation:
Step 1: Write the expression(3x-6)-(2x-8)
Step 2: Do KCC to the whole expression (keep change change)
(3x-6)+(-2x+-8)
Step 3: Rewrite with the like terms together.
(-2x+3x)+(-6+-8)
Step 4: Combine the like terms
1x+(-14)
X + 3y =5y
-x + 2y =0
Answer:
If you are asking what the solution to this set of equations is, then they are the same line. They map to the same line.
Step-by-step explanation:
Hollis goes outside at 2:00. He spends 48 minutes riding his bike and playing with his dog. What time is it now? Write the time in two ways.
Answer:
2:48
Step-by-step explanation:
48 minutes passed and he went outside at 2:00 im not sure what they mean by write it in 2 ways though
La suma de dos números enteros que tienen signos diferentes es:
Answer:
Hhhhhhhhnnnnnnnnnn
Step-by-step explanation:
Bbb
Solve for x.parallelogram
Plz show steps so I can learn
Answer:
in a parallelogram .......the sum.of adjacent angles is 180
11x-10+80=180
11x=110
x=10
Two of the sides of a triangle are 7 inches
and 8 inches. If the third side is a whole
number of inches, what is its greatest
possible measure?
Answer:
11 inches
Step-by-step explanation:
7^2+8^2=c^2
49+64=c^2
113=c^2
square root both side
c=10.63014581
round up and get c=11
hope this helped :)
