Answer: The waiting time will be 32 minutes when 240 people in line.
Step-by-step explanation:
Let us assume that the waiting time is directly proportional to the number of people in the queue.
Equation of direct proportion between variables x and y : [tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]
Put [tex]x_1=20,\ y_1=150,\ y_2=150[/tex] to find [tex]x_2[/tex].
[tex]\dfrac{20}{150}=\dfrac{x_2}{240}\\\\\Rightarrow\ x_2=\dfrac{20}{150}\times240\\\\\Rightarrow\ x_2=32[/tex]
Hence, the waiting time will be 32 minutes when 240 people in line.
Answer:
32 minutes
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
For 150 people, waiting time = 20 minutes
So, for 1 minute waiting time, number of people = 150 ÷ 20
= 7.5 people per minute
So, for 240 people, waiting time = 240 ÷ 7.5
= 32 minutes.
So, the waiting time when 240 people are in line is 32 minutes.
1. What is the sine of angle in the triangle below?
10
13
Express (x + 10)^2 as a trinomial in standard form.
Answer:
x2-20x+100
Step-by-step explanation:
You have to factor the expression in order to get your answer
Do this by expanding out the expression: (x-10)(x-10) Then factor by multiplying each of the components! Use the FOIL acronym to help you. FOIL stands for First, Outer, Inner, Last. Meaning multiply the first numbers of the expressions together, then the outers, then the inner two numbers, then the last two numbers of the expression.
Multiply x and x to get , multiply x and -10 to get -10x, multiply -10 and x to get -10x, multiply -10 and -10 to get 100. Add them all together: . Then combine like terms
The required trinomial in standard form is x²+20x+100.
Trinomial:Important information:
The expression is the [tex](x+10)^2[/tex].Using the formula [tex](a+b)^2=a^2+2ab+b^2[/tex], we get
[tex](x+10)^2=(x)^2+2(x)(10)+(10)^2[/tex]
[tex](x+10)^2=x^2+20x+100[/tex]
Therefore, the required trinomial in standard form is x²+20x+100.
Find out more about 'Trinomial' here:
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Solve the following:
a)
5x - 1 = 3x + 9
b)
2x + 4 = 6x - 16
Answer:
a = 5
b = 5
Step-by-step explanation:
Which polynomial is factored completely?
Completely factored:
(4x+4)(x+1) and 2x(x²-4)
Step-by-step explanation:
We have to check each option one by one, It is sum of two perfect square, As we know sum of two perfect square can't be factored. It is prime equation.
Here we have two factor (4x+4) and (x+1). In both factor degree of x is 1. It is complete factor form. Here we have two factor 4x and x²-4. For second factor it is further factor. Because it is difference of square. Factor of x²-4 = (x+2)(x-2)
Complete Factor: 2x(x+2)(x-2)[/tex],
Here variable are not same. So, it can't be factor (false)
Help me please I will give brainliest
Increase 100 by 85%
Answer:
100, percentage increased by 85% (percent) of its value = 185 Jan 16 02:56 UTC (GMT
Answer:
=100+85%
=100.85.......
Tell whether the rates are equivalent. 0.4 kilometer for every 15 minutes 0.6 kilometer for every 20 minutes
Answer:
no they are not equivalent
Step-by-step explanation:
0.4/15 = 0.026
so for every minute they travel 0.026km
0.6/20 = 0.03
so for every minute they travel 0.03km
so they are not the same/equivalent
WILL MARK BRAINLEST!!!!!!
What should be the first step in adding these equations to eliminate y?
8x + 3y = 2
+ 4x - 6y= -7
O A. Multiply the top equation by 4.
O B. Multiply the bottom equation by 8.
C. Multiply the bottom equation by 2.
D. Multiply the top equation by 2.
D. Multiply the top equation by 2.
Answer:
D
Step-by-step explanation:
Given the 2 equations
8x + 3y = 2 → (1)
4x - 6y = - 7 → (2)
Multiplying the top equation (1) by 2 and adding to (2) will eliminate y
16x + 6y = 4 → (3)
Add (2) and (3) term by term to eliminate y
20x + 0 = - 3
20x = - 3 ( y has been eliminated )
Write a story that could represent this math problem.
A rectangle partitioned into thirds five times. The first part, the second part, the fourth part, the fifth part, the seventh part, the eighth part, the tenth part, the eleventh part, the thirteenth part, and the fourteenth part are shaded.
Answer: Bryan had 2/3 of a chocolate bar. Four of his friends also had 2/3 of a chocolate bar. How much chocolate did they have all together?
Step-by-step explanation:
The math problem is 2/3 x 5 so if he had five people, including him. That would be 2/3 x 5
Answer: it is a
Step-by-step explanation: did when who bs ehd
What number is 0.409 more than 0.733? HELP
Answer:
= 1.223
Step-by-step explanation:
0.409 more than 0.733 means the addition of 0.733 + 0.409
0.733 + 0.409
= 1.223
Approximately to one decimal place = 1.2
What do you add to
5 3/7 to make 8?
Answer:
2 4/7
Step-by-step explanation:
3/7+4/7= 7/7 or 1 whole
So you add that to the 5 and get 6, then you need 2 to get to 8 because 6+2=8
Hope this helped!!!
Answer:
2 4/7
Step-by-step explanation:
let n = number to add to 5 3/7
change 5 3/7 to improper fraction: 38
7
change 8 to become 56
7
create equation:
38 + n = 56
7 7
n = 56 - 38
7 7
n = 18 or 2 4/7
7
check: 5 3 + 2 4 = 8
7 7
5 + 2 = 7 and 3/7 + 4/7 = 1
7 + 1 = 8
using the elimination method how do I find x and y for the following problem:
3x+5y=-1
x + 5y = 4
Answer:
x is equal to -3, and y is equal to eight fifths, or 1.6
Step-by-step explanation:
Solving by elimination means to add or subtract one of the equations from the other, eliminating one of their common terms.
Because both of the provided ones have the term 5y (and no other y terms), let's use subtraction:
3x + 5y = -1
- ( x + 5y = 5 )
2x + 0 = -6
Which we can solve pretty quick:
2x = -6
x = -3
We can now solve either of the original equations for y:
x + 5y = 5
-3 + 5y = 5
5y = 8
y = 8/5, or 1.6
To make sure we're correct, let's test our results in the other equation:
3x + 5y = -1
3 × -3 + 5 × 8/5 = -1
-9 + 8 = -1
-1 = -1
So we're good!
What weight of flour will each family get if 12 families share 3/4 of flour equally
Answer:
1/16
Step-by-step explanation:
3/4 divide by 12=1/16
please help i need this done by tonight at midnight
Answer:
no se no mergas yo mejor te aconsejo que quemes tu libreta te encierres en tu cuarto para que tu mamá no te de un chanclaso
What does negative 2 over 3 > −1 indicate about the positions of negative 2 over 3 and −1 on the number line?
negative 2 over 3 is located to the right of −1
negative 2 over 3 is located on the left of −1
negative 2 over 3 is located on the right of 0, and −1 is located on the left of 0
negative 2 over 3 is located on the left of 0, and −1 is located on the right of 0
Answer:
2 to the 3rd of the queation would be around 17
Step-by-step explanation:
Answer:
-2 over 3 is located to the left of -1
Step-by-step explanation:
A 16-ounce package of cereal costs $4.00. What is the unit cost?
Answer:
$0.25/1oz
Step-by-step explanation:
$4.00 / 16oz = $0.25 per ounce
Answer:
The answer is D) $0.25 for every 1 oz
Step-by-step explanation:
In order to find a unit cost of something, you divide the amount of money per item, by the amount of the product. So, you divide 4/16 and get .25. Then you know already that that is the unit cost. So, every 1 oz of the product costs 25 cents. Hope this helps :)
A plumber charges $55 for a service call plus $35 per hour. If the plumber’s bill was $160, how many hours was he there?
Find the diagonal distance between 2,-1 -3,2 the two points given be sure to round to the nearest tenth
Answer:
[tex]d=15[/tex]
Step-by-step explanation:
From the question we are told that
Two points
[tex]x=(2,-1)\\y=(-3,2)[/tex]
Generally distance formula is mathematically given by
[tex]d=\sqrt{(x1-x2)^2(y2-y1)^2}[/tex]
[tex]d=\sqrt{(2-(-3))^2((-1)-(2))^2}[/tex]
[tex]d=15[/tex]
Plz help due tomorrow
Answer:
D, or the last option
Step-by-step explanation:
Answer:
1/2-5d
Step-by-step explanation: Commutative property you have to switch the order of the terms. Since your problem was -5d+1/2 just flip it, 1/2-5d.
The rain gauge shows 3 centimeters of rainwater.
Which of the equations below gives the height, h, if it rains at a rate of 0.25 centimeters per hour after t hours? Hint: the h is the "y" and the t is replacing "x"
A. h=0.25t+3h is equal to 0 point 2 5 t plus 3
B. h=3t+0.25h is equal to 3 t plus 0 point 2 5
C. t=0.25h+3t is equal to 0 point 2 5 h plus 3
D. t=3h+0.25
Answer:
h=0.25t+3
Step-by-step explanation:
y=mx+b
y=0.25x+3
replace y with h and x with t
h=0.25t+3
[tex]21x^2-25x-4=0[/tex]
Answer:
That's unreadable. Could you send a photo instead?
Step-by-step explanation:
Which shows the best use of the associative and commutative properties to
make simplifying 2.4 + 13 – 5 + 3.6 +7 easier?
O A. (2.4 + 13) + (-5 +3.6 + 7)
O B. (2.4 + (-5) + 13) + (7 + 3.6)
O C. (7+ 2.4 + 13) + [3.6+ (-5)]
O D. (2.4+ 3.6) + [13 +7+(-5)]
Answer:
D
Step-by-step explanation:
So the associative and commutative properties basically say That you can change the orders of the numbers and the answer won't change (for multiplication and addition).
Your answer would be D because they added the numbers with a decimal place together, it makes it easier to look at, and add in your head.
PLease help please i need helo on this
Two swimming teams are competing in a 400 meter medley relay. During the last leg of the race,
the swimmer in lane 1 has a 1.7 second head start on the swimmer in lane 2. The swimmer in
lane 1 is swimming at 1.9 m/sec. The swimmer in lane 2 is swimming at 2.3 m/sec.
Lett be the time since the swimmer in lane 2 started the last leg. After how many seconds into
the leg will the swimmer in lane 2 catch up with the swimmer in lane 1?
Answer:
4 seconds
Step-by-step explanation:
I completed a table, swimmer 1 started with 1.7 while swimmer 2 started with 0. After adding 1.9 to swimmer 1 each time and 2.3 for swimmer 2, swimmer 2 caught up at 4 seconds
23
Knee socks are 2 pair for $3.18, and anklets are 3 pair for $4.47. Which of the following
is true?
Answer:
2 pair=3.18×2=6.36
3pair anklets=3×4.47=13.47
total=19.77
6.36+13.41
19.77
Can someone help me with this ASAP 25 points
Answer:
180(as straight line)-125=55
so SQR or x is 55 degrees
Answer:
x = 55°Step-by-step explanation:
Straight angle equals 180°
PQR = 180°
PQR = PQS + SQR angle addition postulate
180° = 125° + xx = 180° - 125°x = 55°Which graph shows all real numbers closer to 0 than they are to 4?
Answer:a
Step-by-step explanation:
15 m
8 m
What is the length of the hypotenuse?
C=
meters
Pythagorean Theorem: a^2 + b^2 = c^2
A and B are the sides given to us, because they're not the hypotenuse. Square each at add them.
That leaves you with 289. Square root it, because we want to find C without being squared.
The square root of 289 is 17, so the hypotenuse is 17 m in length
HELP ASAP (20 POINTS)
The function f is modeled by the equation f(x) = 5x + 4 What is the range of the function when the domain is {-2,3,5}? A. {19,-6,29}
B.{-6,16,29}
C.{-6,19,29}
D.{14,16,24}
The range of the function will be;
⇒ { - 6, 19, 29 }
What is Domain?The set of all inputs of the function is called Domain of set.
Given that;
The function is,
⇒ f (x) = 5x + 4
And, The domain = {-2, 3, 5}
Now,
Since, The function is,
⇒ f (x) = 5x + 4
We know that;
The range of the function gives the value of f (x).
So, We get;
The function is,
⇒ f (x) = 5x + 4
Put x = - 2;
⇒ f (-2) = 5 × - 2 + 4
= -10 + 4
= - 6
Put x = 3;
⇒ f (3) = 5 × 3 + 4
= 15 + 4
= 19
Put x = 5;
⇒ f (5) = 5 × 5 + 4
= 25 + 4
= 29
Thus, The value of range = { - 6, 19, 29 }
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Solve using fractional law exponent rule
Answer:
hope this help
Step-by-step explanation:
8 3/ 5 so that is the answer
