Answer:
We know that no. of days is inversely propotional to the provision for men.
So for 120 men the provision would last for 30days. (given)
Therefore, the provision for 1 men would sustain for. 120 *30 = 3600 days.
Let after the joining of 5 men (after 5 days) the no of more days the provision would last is x days
A.t.q 120*30 = 120*5+125*x
(120*30) - (120*5)= 125x
120(30-5)=125x
120 * 25 = 125x
120 = 5x
x=120/5
x= 24
so the provision would remain for more 24 days.
Four puzzles that were manufactured contained a total of 420 pieces. The next 6 puzzles contained a total of 630 pieces. If the relationship between the number of puzzles and the total number of puzzle pieces continues to be proportional, which could be the missing entries in the table?
Answer: B.) 8 Puzzles and 840 pieces
It takes servers in a restaurant 18 minutes to clear and set 9 tables.
At this rate, how long will it take them to clear and set 20 tables
Answer:
40 minutes
Step-by-step explanation:
To find it taes to clear and set one table divide time by the amount of tables. 18/9=2. It takes 2 minutes per table. To find the answer for 20 tables, you have to multiply 20 by 2. It takes 40 minutes to set and clear 20 tables.
Brady has a card collection with 32 basketball cards, 24 football cards, and 40 baseball cards. He wants to
arrange the cards in equal piles, with only one type of card In each plle.
How many cards can he put in each plle? Select all that apply.
Answer:
he can make 8 piles before he runs out and has 2 cards leftover
Step-by-step explanation:
Please give me the correct answer
select all the expressions equivalent to 5x + 6x + 3x : 11x + 3x, 14x + x, 2 (3x + 4x), 3x(2 + 1) + 5x, 5x + 3(2x + x)
Step-by-step explanation:
5x + 6x + 3x
= 14x.
Now we compare the expressions with the result:
11x + 3x = 14x. (correct)
14x + x = 15x. (incorrect)
2(3x + 4x) = 2(7x) = 14x. (correct)
3x(2 + 1) + 5x = 3x(3) + 5x = 9x + 5x = 14x. (correct)
5x + 3(2x + x) = 5x + 3(3x) = 5x + 9x = 14x. (correct)
Hence our answers are the 1st, 3rd, 4th and 5th.
what is (√7)² in simplest form?
Answer:
14?
Step-by-step explanation:
So sorry if I got it wrong-
From stations A and B, the distance between which is 910 mi,
two trains left simultaneously moving towards each other. The
speed of one train was 10 mph greater than the speed of the
other one. In 5 hours the trains met. Find the speed of each train.
Answer:
The slowest train goes at 86 mph and the fastest train goes at 96 mph.
Step-by-step explanation:
Distance and Speed
Assume x is the speed of the slowest train, therefore the speed of the fastest train is x+10.
The distance is calculated as:
d = vt
Where v is the speed and t is the time.
The distance traveled by each train in 5 hours is:
Slowest: 5x
Fastest: 5(x+10)
The sum of both distances is 910 miles:
5x + 5(x + 10) = 910
Operating:
5x + 5x + 50 = 910
10x = 910 - 50 = 860
x = 860/10
x = 86
The slowest train goes at 86 mph and the fastest train goes at 96 mph.
A population of 249 birds increases at a rate of 16% annually. jewel writes and exponential function of the form f(x)=abc to represent the number of birds after x years. Which values should she use for a and b
Answer:
a = 249 and b = 1.16
Step-by-step explanation:
Consider the provided information.
The exponential function for growth is: [tex]y=a(1+ r)^x[/tex]
Here, a is the initial value and r is the rate of change.
It is given that the number of birds is 249.
It means a = 249
The rate is given 16%
r=0.16
Put the value of a and r in the above formula.
[tex]y=249(1+0.16)^x[/tex]
[tex]y=249(1.16)^x[/tex]
Now we will compare it with the exponential function form [tex]y=ab^x[/tex]
Therefore, a = 249 and b = 1.16
If x²-2=2⅔ +2-⅔
then prove that 2x³-6x =5 solve and send photo please
Answer:
Step-by-step explanation:
x²-2=2⅔ +2-⅔
x^2 = 2^1 + 2⅔ +2-⅔
x^2 = 4.21736
x = 2.0536.
Plug this into 2x^3 - 6x:
= 2(2.0536)^3 - 6(2.0536)
= 5
So 2x^3 - 6x = 5.
answer:
[tex]x1 = - \sqrt{6} \\ x2 = \sqrt{6} [/tex]
Step-by-step explanation:
[tex]x ^{2} - 2 = \frac{8}{3} + 2 - \frac{2}{3} [/tex]
[tex]x^{2} - 2 = 4[/tex]
[tex]x^{2} = 4 + 2[/tex]
[tex]x^{2} = 6[/tex]
[tex]x = - \sqrt{6} \\ x = \sqrt{6} [/tex]
[tex]x1 = - \sqrt{6} \\ x2 = \sqrt{6} [/tex]
On Friday, there were x students at the baseball game. On Monday, there were half as many students at the game as there were on Friday. On Wednesday, there were 32 fewer students at the game as there were on Friday. Which expression could represent the total number of tickets sold for all 3 games?
2 and one-half minus 32
2 and one-half x + 32
3 and one-half x minus 32
3 and one-half x + 32
Answer:
I assuume it is C, hope this works?
Step-by-step explanation:
Answer:
Its A
Step-by-step explanation:
I
Find the missing side length, S.
Answer:
3
Step-by-step explanation:
since both triangles are similar, set up a ratio
[tex]\frac{4}{2}[/tex]=[tex]\frac{6}{s}[/tex]
cross multiply
4s=12
divide
4s=12
/4 /4
s=3
I need help please with this equation:
Answer:
y=-3x+2
Step-by-step explanation:
I got some money for my birthday. I save and spend in the ratio 2:3. I save £32. How much money did I receive for my birthday?
Answer:
80 i think
Step-by-step explanation:
32.3=80
Step-by-step explanation:
Amount of money saved : spent = 2 : 3.
Since amount of money saved = £32,
Amount of money spent = £32 * (3/2) = £48.
Total amount of money = £32 + £48 = £80.
Therefore I received £80 for my birthday.
3) A skier traveled downhill at a rate of 12 feet per second. If he started at an elevation of 1,200 feet, what is his elevation after one minute?
Answer:
480
Step-by-step explanation:
12 x 60 = 720
1200 - 720 = 480
Answer: 1,920
Step-by-step explanation:
12ft per second, so to find out his elevation after one minute you would have to convert from seconds to minutes. (60 sec = 1 min). So you would do 12*60 to get 720. And since he already started at 1,200 feet, you add 720. So 1,200+720 = 1,920 ft.
heeeeeeelpppppppppppp
Answer:
$128
Step-by-step explanation:
~Please I really need help~ Inara has a base salary of $300 per week. She also receives a $30 commission on each sale. 14.5% of her gross pay is withheld for taxes and other deductions. Create
an equation for Inara's net pay.
Answer:
(300 + 30x)0.145 = y
Step-by-step explanation:
Answer:
-0.145x + 300w + 30y = p
Step-by-step explanation:
Salary: 300 Weekly
+ 30$ every sale
-14.5%
x = her taxes
y = comission
w = number of weeks
P = how much she gets paid.
Ace
write a real word problem that you could represent 3+ x =10
Right answer gets brainlist
Answer:
there ain't nun to answer here
Step-by-step explanation:
Which is a infinitely many solution ?
Answer
Sorry thats not out topic yet
Step-by-step explanation:
Sorry :c
Find the simple interest if you invest $568 at 16% for 8 months.
Pam went to the fair. She went on the same 6 times and used the same number of tickets each time. She used 18 tickets. How many tickets did she use each time she went on the ride?
Answer:
3 tickets
Step-by-step explanation:
If you did 18/6 it would cost 3 tickets each time on the ride.
18÷6=3 tickets
On the first visit to the veterinarian's office, Elijah's puppy weighed 19 ounces. On the 2nd visit, the puppy had gained 9 ounces. On the third visit, the puppy had gained another 7 ounces. What is the percent increase since the first visit in the puppy's weight rounded to the nearest percent?
a 84%
b 85%
c 79%
d 81%
Answer:
A)84%
Step-by-step explanation:
Orgin: 19 ounces
Second visit: 19+9=28 ounces
Third visit=28+7=35 ounces
35-19=16 ounces gained
16/19=84.2%=84% increase
HELP???? PLEASE AND FAST IM ON THE BRINK OF DEATH --
Determined to finish her milkshake before Diego, Lin now drinks her 12 ounce milkshake at a rate of 1/3 an ounce per second.
Diego starts with his usual 20 ounce milkshake and drinks at the same rate as before, 2/3 an ounce per second.
1) Graph this situation on
2) What does the graph tell you about the situation and how many solutions there are?
Answer:
See below.
Step-by-step explanation:
Create a system of equations to represent this scenario.
Lin: 12 - 1/3x = yDiego: 20 - 2/3x = y1) A graph of these equations is attached below. Lin is in red; Diego is in blue.
2) The time (seconds) is on the x-axis, while the milkshake (oz) is on the y-axis. The graph shows the rate of change that the volume of the milkshake is decreasing for both Lin and Diego. The intersection point tells us at what time t (s) Lin and Diego have the same amount of milkshake left.
There is only one solution to this system of equations: (24, 4). This tells us that at t = 24 s, Lin and Diego both have 4 oz of milkshake left.
The zeros, aka where the graph touches the x-axis, tell us at what time Lin and Diego finish their milkshakes.
Lin finishes her milkshake later than Diego, at t = 36 s (36, 0), while Diego finishes his milkshake at t = 30 s (30, 0).
Factorise x^2+13x+12
Step-by-step explanation:
Given
x² + 13x + 12
= x² + ( 12 + 1) x + 12
= x² + 12x + x + 12
= x ( x + 12 ) + 1 ( x + 12)
= (x + 12) (x + 1)
Hope it will help :)❤
Troy wants to ride his bicycle 35 miles this week. He has already ridden 11
miles. If he rides for 3 more days, write and solve an equation which can be
used to determine m, the average number of miles he would have to ride EACH
DAY to reach his goal.
Answer:y=35x+11
Step-by-step explanation:y=Mx+b
What is this answer?
Answer:
The answer is (-1,-10)
hope this helps
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Answer:
D. (-1, -10)
Step-by-step explanation: I put your question into a math calculator and got this as your answer. Good luck!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! I DONT KNOW HOW TO GRAPH SO CAN YOU SHOW ME HOW TO DO IT PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLS DRAW IT
Answer:
?
Step-by-step explanation:
The values of m and n are whole numbers greater than 1. Which is true about the quotient
Answer:
"The expression will always equal m" is true about the quotient of [tex]\frac{m}{n}[/tex] ÷ [tex]\frac{1}{n}[/tex]
Step-by-step explanation:
Let us solve the question
∵ The expression is [tex]\frac{m}{n}[/tex] ÷ [tex]\frac{1}{n}[/tex]
→ In the division of fractions, we change the division to multiplication
and reciprocal the fraction after the division sign
∵ The reciprocal of [tex]\frac{1}{n}[/tex] is [tex]\frac{n}{1}[/tex]
∴ [tex]\frac{m}{n}[/tex] ÷ [tex]\frac{1}{n}[/tex] = [tex]\frac{m}{n}[/tex] × [tex]\frac{n}{1}[/tex]
→ In the multiplication of fractions, we can simplify the terms in
the numerators by the terms in the denominators
∵ There is n in the numerator and denominator
∴ Cancel n up and down
∴ [tex]\frac{m}{n}[/tex] × [tex]\frac{n}{1}[/tex] = [tex]\frac{m}{1}[/tex]
∴ [tex]\frac{m}{n}[/tex] × [tex]\frac{n}{1}[/tex] = m
∴ [tex]\frac{m}{n}[/tex] ÷ [tex]\frac{1}{n}[/tex] = m
∴ The quotient is m
∴ The expression will always equal m
Donovan age is two times Sydney's age the sum of their ages is 39 what is Sydney's age
Answer:
13
Step-by-step explanation:
2x+x=39
3x=39
divide both sides by 3 and then you get 13
PLSSS HELPPPPPP :(((((
Answer:
Step-by-step explanation:
y+11<30
subtract 11 from both sides
y+11-11<30-11
y< 19
choice A
Step-by-step explanation:
y + 11 < 30 Original inequality
y + 11 - 11 < 30 - 11 Isolating the variable
y < 19 The answer / Simplification
The answer is A, I hope this helps!!!