Answer: Each Swiss Guard will spend 1 hour 36 minutes on guard duty in one day.
Step-by-step explanation:
Given: The Vatican has to be guarded 24 hours a day.
Total Swiss Guards = 15
If they split each day's guard duty equally, the time they will spend on guard duty in one day = (24)÷ 15
= [tex]\dfrac{24}{15}[/tex] hours
[tex]=\dfrac85[/tex] hours
[tex]=1\dfrac35[/tex] hours
= [tex]\text{1 hour }\dfrac35\times60\text{ minutes}[/tex]
= [tex]\text{ 1 hour }36\text{ minutes}[/tex]
Hence, each Swiss Guard will spend 1 hour 36 minutes on guard duty in one day.
List three values for x that would make 5x < -20 true.
Answer:
1. -5
2. -6
3. -10
Step-by-step explanation:
There are x = - 6, -7, and - 8 three values for variable x that would make 5x < -20 true.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
We have been given that the inequality is below as
⇒ 5x < -20 ...(i)
⇒ 5x / 5 < -20 / 5
⇒ x < - 4
Thus, all the negative values which are less than -4 for x would make it true.
For example, we take x = -8
Substitute the value of x = -8 in the inequality (i),
⇒ 5(-8) < -20
⇒ - 40 < -20
This is true.
Similarly x = - 6, and - 7 also for x would make it true.
Hence, there are x = - 6, -7, and - 8 three values for variable x that would make 5x < -20 true.
Learn more about inequalities here:
brainly.com/question/20383699
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Max and Jay Are running a lemonade stand they spent $12 on all the material and charge $1.50 for each cup of lemonade write an equation that will allow you to calculate the profit (P) if you are told the number of cups (c) that are sold.
Answer:
P = $1.50c - $12
Step-by-step explanation:
profit = total revenue - total cost
total revenue = price per cup x total cup sold = $1.5 x c = 1.5c
Cost = $12
PLEASE HELP!! ILL MARK BRAINLYEST!!
Evaluate 6C2 .
120
15
720
30
Answer: 15
Step-by-step explanation:
no
Answer:
15
Step-by-step explanation:
ITS RIGHT
what is 5+5
=10 for me
Answer:
that will be 10?
Step-by-step explanation:
Answer:
5+5=10 is right
Step-by-step explanation:
please mark me brainliest
A circular plate has a radius of 12 inches. Complete the table. Include a number and a unit in the last column.
Answer:
Area A = πr² 452.16 in²
Circumference C = π2r 75.36 in
Does the expression Y>2x-1 define a function?
Step-by-step explanation:
This is a polynomial, and every expression like y=p(x) , with p(x) a polynomial, is a function.What answer would this be?
Find the volume of a figure that has a length of 5 cubic units, a width of 5 cubic units, and a height of 5 cubic units. *
Answer:
V = 125 cubic units
Step-by-step explanation:
The formula for volume is length x width x height. Now we must solve.
Solve:
5 x 5 x 5 = 125
125 cubic units
Answer:
125 units^3
Step-by-step explanation:
To find the volume of a cube (a figure with all the same side lengths) you multiply any length by itself 2 times or cube it
5^3 = 5*5*5 = 125 units^3
Need help ASAP please not links please
Answer:
a) 22:24 simplified the answer is 11:12
b) 21:81 simplified the answer is 7:27
Step-by-step explanation:
not sure how you were taught but those could also be
a) [tex]\frac{22}{24}[/tex] or simplified the answer is [tex]\frac{11}{12}[/tex]
b) [tex]\frac{21}{81}[/tex] or simplified the answer is [tex]\frac{7}{27}[/tex]
2. The number of atoms of a particular chemical element is modelled by
the following function: y=600 x 3-* where x is the number of hours.
a) How many atoms of the element were there at the start?
b) Draw a graph for 0
c) At what time were there 150 atoms?
9514 1404 393
Answer:
a) 600
b) see below
c) 1.26 hours
Step-by-step explanation:
a) The value of y when x=0 is the coefficient of the exponential term:
y = 600·3^(-0) = 600·1 = 600
There were 600 atoms to start.
__
b) see attached for a graph
__
c) The graph shows 150 atoms at t = 1.26, about 1.26 hours after the start of time counting.
If you want to find that value algebraically, substitute for y and solve for x. Logarithms are involved.
150 = 600·3^(-x)
150/600 = 3^(-x)
log(1/4) = -x·log(3)
x = -log(1/4)/log(3) = log(4)/log(3) ≈ 1.2618595
After about 1.26 hours, there were 150 atoms.
Those are the reasons when I put BD perpendicular to AC
Step-by-step explanation:
Actually, ∠BDA＋∠BDC=180°
2∠BDA= 180°(CPCTC)
∠BDA= 90°
This is how BD is perpendicular to AC
Use the information to answer the following question.
The quadratic function f is represented by the equation f(x) = x2 - 2x + 2.
The table gives some of the values of the exponential function g.
x
-1
0
1
2
3
g(x)
-0.5
0
1
3
7
Which of the following statements is FALSE?
A.
f(3) > g(3)
B.
Both functions have a domain of all real numbers.
C.
The y-intercept of f(x) is greater than the y-intercept of g(x).
D.
The functions f(x) and g(x) have the same value at x = 1.
Answer:
Step-by-step explanation:
Find the volume of each solid figure. (the yellow and blue figures)
If you know that angles a and b are
vertical, what equation could you
use to represent this angle
relationship?
Answer:
Step-by-step explanation:
∡a = ∡b
Angus Cut His Neighbors' Lawns For The Summer. By The End, He Had $325 In His Lawn-cutting Bank Account And He Paid A Total $75 For Gas. He Earned $10 For Ever Lawn He Mowed. How Many Lawns Did He Buy? A. N = 400 x 10 b n 250 x 10 c. N = 400 / 10 d. N = 250 / 10
Answer:
C. N = 400 / 10
Step-by-step explanation:
Lawn-cutting Bank Account = $325
Amount paid for gas = $75
Total amount earned = Lawn-cutting Bank Account + Amount paid for gas
= $325 + $75
= $400
Amount earned per every lawn he mowed = $10
How Many Lawns Did He mow?
Let N = number of lawns he mowed
N = Total amount earned / Amount earned per every lawn he mowed
N = 400 / 10
N = 40 lawns
Suppose that your mom gives you $20 to go to the school supplies store.
There is a 6% sales tax on supplies. You need to buy the following items
Will give brainliest please help!!!!
2(2.2h+5.8h)+15(15h+5)
Answer:
,,,,,,,,,,,,,,,,,,,,,,,,,
Vinay bought a pizza and cut it into three pieces. When
he weighed the first piece he found that it was 7g lighter
than the second piece and 4g.heavier than the third piece.
If the whole pizza weighed 300g. How much did each of
the three pieces weigh?
(Hint: weight of first piece be 'x' then weight of second
piece is 'x + 7', weight of the third piece is 'x - 4')
Answer:
x + x + 7 + x -4 = 300
3x = 297
x = 99 First Piece
x2 = 106 Second Piece
x3 = 95 Third piece
Step-by-step explanation:
The area of a rectangle is 221 in?. If its width is 13 in, then find its length.
PLEASE HELP ASAP
Find the surface area and the volume of the cone:
*Hint: Remember that 10 is the slant height, not the cone height. Use Pythagorean Theorem to find
height.
Answer:
surface area= 301.6
volume=301.6 again Imao I'm not sure how right that is
Calculate the area of this trapezium.
6 cm
5 cm
4 cm
8 cm
Answer:
6cm is the correct answer
How long will it take Eniola to save $5,000 if she started with $500 and found a rate of 6.2%? Round to the nearest whole number.
Answer:
the time period is 38.28 years
Step-by-step explanation:
The computation of the time period is shown below:
Given that
RATE = 6.2%
PV = $500
PMT = $0
FV = $5,000
The formula is shown below:
= NPER(RATE;PMT;-PV;FV;TYPE)
After applying the above formula, the time period is 38.28 years
Hence, in order to save $5,000 it would take 38.28 years
Adam is going to invest $23,000 and leave it in an account for 19 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Adam to end up with $51,000?
Answer:4.2
Step-by-step explanation:
4.19122
Answer:4.2
Step-by-step explanation:
if y+z=4 and yz=3 then find y³+z³=?
I DON'T UNDERSTAND HOW THE ANSWER IS 15% PLEASE EXPLAIN
A pair of sunglasses is on sale for $17. Last week, the sunglasses were marked at a regular price of $20. What was the percent of change?
Answer:
15%
Step-by-step explanation:
17/20 the 17 is the part, and the 20 is the whole
17/20 = x/100
cross multiply
17*100= 1,700 divide by 20
=85
The price reduced to 85% the original price, but to find out how much it changed, you have to subtract the part from the whole meaning
100% - 85% = 15%
Which two quadrilaterals are reflections of each other across the y-axis? i forgot to add the picture to the last one .
Answer
F and G
Step-by-step explanation:
Answer:
F and G
Step-by-step explanation:
what is 10 x 40 to the 12 power divided by 3 x 4
Answer:
33.33333333
Step-by-step explanation:
how do you solve this??
Answer:
The sum of this entire line is 180, so to solve this we would subtract 20 from 180, which means x = 160.
(っ◔◡◔)っ ♥ Hope It Helps ♥
In the year 2000, the population of Virginia was about 7,400,000.
Between the years 2000 and 2004, the population in Virginia grew
at a rate of 5.4%. At this growth rate, the function f(x) = 7,400,000 (1.054)*
gives the population x years after 2000.
9. In what year will the population reach 15,000,000?
10. In what year will the population reach 20,000,000?
Answer:
Step-by-step explanation: 7,400,000/5.4%=13,703.7
grows by 13,703.7 every 4 years
7+7