There are 1,092 people who work in an office building. The building has 4 floors, and the same number of people work on each floor. How many people work on each floor?
Answer:
273 people.
Step-by-step explanation:
Given that,
Total number of people working on an office building = 1092
The building has 4 floors, and the same number of people work on each floor.
We need to find how many people work on each floor. Let there are n people in each floor.
n = Total number of people/Total number of floors
[tex]n=\dfrac{1092}{4}\\\\n=273[/tex]
So, there are 273 people working on each floor.
The distance a coiled spring stretches varies directly with the amount of weight hanging on the spring. If a spring stretches 2 cm when a 30 gram weight is hung from it, how far will it stretch when a 75 gram weight is hung from the spring?
Answer:
5 cm
Step-by-step explanation:
The distance a coiled spring stretches varies directly with the amount of weight hanging on the spring.
Distance = D
Weight = W
Hence:
D ∝ W
D = kW
Where k is constant of proportionality
Step 1
We solve for k
If a spring stretches 2 cm when a 30 gram weight is hung from it.
2 = 30k
k = 2/30
k = 1/15
Step 2
how far will it stretch when a 75 gram weight is hung from the spring?
D = kW
We are solving for D
k = 1/15
D = 1/15 × 75
D = 5 cm
The spring would stretch 5cm with a weight of 75 gram.
Write an equation to represent the given scenario.
Alicia went to buy a new car at the car dealership. She paid
$2.500 for her down payment and she will pay $256 per
month The car cost a total of $17,860. Write an equation to
represent this scenario.
Answer:
256x +2.500=17860
Step-by-step explanation:
So she has to pay 256 per month which means every month.So that is our reapeted fee.Because it is reapeting every month.2.500 is the fee that you have to give for down time payement but only once .So that is our One Time Fee.And 17860 is our total.Always remember that the vairable goes with the reapted fee.and our equation is reapted fee times vairaible addes to one time fee is equal to total.
Tell whether the equation has one solution, no solution, or infinitely many solutions. 3x - 7 = 3(x - 3) + 2
Answer:3x-7=3(x-3)+2
3x-7=3x-9+2
3x-7=3x-7
Group like terms
3x-3x=-7+7
0=0
Step-by-step explanation: the above calculations implies that, the equation has no solution, since all the unknown variables also vanish to zero.
What is the last digit of
[tex]1 \times 3 \times 5 \times 7 \times 9 \times 11 \times 13[/tex]
A. 5
B. 3
C. 7
D.6
E. 9
NEED ASAP PLEASE HELP
Answer:
Step-by-step explanation:
Im sorry but looks hard
China drove 3,000 miles in 75 hours. At this rate, how long will it take her to drive 12,000 miles?
(unit rates)
can you please put the work. Please this is due in an hour and I have 20 more questions left.
Im counting on yall. :)
Answer:300
Step-by-step explanation:
What is the midsegment for triangle ABC?
A) 26
B) 13
C) 8
D) 4
Juan made $115 for 5 hours of work how many hours would he have to work to make $414
Answer:
He would need to work for 18 hours.
Step-by-step explanation:
115÷5=23 (dollars)
414÷23=18 (hours)
Answer:
18 hours because Juan makes $23 an hours and if you divide the $414 by 23 you get 18 so he needs to work 18 hours to get $414
Step-by-step explanation:
Four hundred tulips grow in the tulip field. That's 80 percent of all the tulips in the park. How many tulips are in the park?
Answer: 500
Step-by-step explanation: Good luck! :D
HI PLS I NEED HELPPPPPP NO DUMDUM ANSWERS I LEGIT NEED HELP
9514 1404 393
Answer:
Part A: C) The order of discounts does not matter.
Part B: both prices are $54.91
Step-by-step explanation:
Part A:
The calculation of the final price can be ...
((original price)·(1 - membership discount))·(1 -sale discount)
= ((original price)(0.88))(0.80)
The associative and commutative properties of multiplication tell you this is fully equivalent to ...
= (original price)(0.80)(0.88)
In short, the order of discounts does not matter.
__
Part B:
When the membership discount is applied first, the final price is ...
($78)(0.88)×0.80 = $68.64·0.80 = $54.91
When the sale discount is applied first, the final price is ...
($78)(0.80)×0.88 = $62.40·0.88 = $54.91
What is the Graph y=x+4
Answer:
It is a line with a positive slope and positive intercept
Step-by-step explanation:
If you want it in SF, -x + y = 4
what is the value of x and y?
PLEASE ANSWER MY QUESTEN THAT IS SHOWN BELOW
Answer:
[tex]2^{3} *3^{3}[/tex]
Step-by-step explanation:
One side of a rectangle is three yards longer than twice the length of the other side. If the perimeter is 27 yards, what is the length of the other side? Please help I'll give brainliest
Answer:
Length of sides ;
3.5 yards ; 10 yards.
Step-by-step explanation:
Let :
Side 1 = x
Side 2 = y
x = 2y + 3
Perimeter (P) of rectangle = 2(side1 + side2)
Perimeter, P = 27
P = 2(x + y)
27 = 2(2y + 3 + y)
27 = 2(3y + 3)
27 = 6y + 6
27 - 6 = 6y
21 = 6y
y = 21/6
y = 3.5
From ; x = 2y + 3
x = 2(3.5) + 3
x = 7 + 3
x = 10
Length of the other side of the rectangle will be 10 yards.
Perimeter of a quadrilateral:Perimeter of a quadrilateral is given by sum of all the sides.
Perimeter of a rectangle = 2(Length + Width)
Given in the question,
One side of the rectangle is three yards longer than twice of the other side.Perimeter of the rectangle = 27 yardsLet one side of the rectangle = x yards
Therefore, other side of the rectangle = (2x + 3) yards
Substitute the values in the expression for the perimeter,
Perimeter = 2[x + (2x + 3)]
27 = 2(3x + 3) [Simplify the equation]
27 = 6x + 6
6x = 21
x = 3.5 yards
Other side of the rectangle = (2x + 3) yards
= 2(3.5) + 3
= 10 yards
Therefore, length of the other side of the rectangle will be 10 yards.
Learn more about the perimeter of a quadrilateral here,
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Conray is 72 years old. He is three times his daughter's age. His daughter is three years younger than Nia.
How old is Nia?
1️⃣0️⃣‼ POINTS!!!
Answer: 27 I think
Step-by-step explanation:
72 divided by 3 plus 3
The age of Nia is given by the equation N = 27 years old
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 age of Nia be represented as N
Now , the equation will be
Let the age of Conray be C
The value of C = 72 years
And , Conray is three times his daughter's age
Let the age of Conray's daughter be D
The value of D = C / 3
Substituting the values in the equation , we get
The value of D = 72/3 = 24 years
And , Conray's daughter is three years younger than Nia
So , N = D + 3
Substituting the values in the equation , we get
N = 24 + 3
On simplifying the equation , we get
N = 27 years
Therefore , the value of N is 27 years
Hence , the age of Nia is 27 years
To learn more about equations click :
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1.
The pair of figures is similar. Find x.Round to the nearest tenth if necessary.
A. 2.7 ft
B. 4.1 ft
C. 2.2 ft
D. 0.3 ft
What is the y-intercept of the function nx) = x + 5
costs us when ons
How many time does 3 go into 20?
Answer:
6 times.
Step-by-step explanation:
6x3=18
20-18=2
hope this helps ! </3 ~ alyssa
3 goes into 20 six times with a remainder of 2.
To determine how many times 3 goes into 20, we can perform division.
Dividing 20 by 3 gives us:
20 ÷ 3 = 6 with a remainder of 2
Or, 3 | 20 | 6
18
_____
2
Therefore, 3 goes into 20 six times with a remainder of 2.
Learn more about Division here:
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What is the probability that you flip a penny 4 times and it lands on tails all four times in a row?
Group of answer choices
1/8
1/16
1/4
1/2
Answer: 1/8
Step-by-step explanation:
Since flipping a coin once and it landing on tails is 1/2, multiply it by however many times you flip it, and that will be you're answer.
Mmmm! I love apple cider punch this time of year, and so do all my neighbors. My recipe calls for two quarts of apple cyder, three teaspoon of cinnamon, and one pint of lemon-lime soda. This will make enough for 8 people to share. In my neighborhood, however, there are 36 people. How much do I need for each ingredient to make enough for everyone?
Answer:
j
Step-by-step explanation:
Alicia already spent $8.25 of her paycheck. If this was 15% of her paycheck, how much was she paid?
A. $15.00
B. $23.25
C. $55.00
D. $123.75
Answer:
She was paid $55.
Step-by-step explanation:
15%=0.15
8.25/0.15=55
Find the missing angle
Answer:
Since interior angles of hexagon sum up to 720°, [You may calculate this using formula 180(n - 2) where, 'n' is number of sides]
[tex]x + 146 + 167 + 53 + 125 + 133 = 720 \\or, x + 624 = 720\\or, x = 96[/tex]
Find the y-intercept of the graph
Answer:
The y intercept is zero
Step-by-step explanation:
The expression (3x? is equivalent to cx”. What is the value of c?
Answer:
c=3
Step-by-step explanation:
Hello! I am unsure of how to do this question even after it told me the correct answer. It really confused me. Could somebody help me?
Answer:
x+2 < 11 and -x-2 < 11
Step-by-step explanation:
absolute value function has two solution
|x| = a
Then x=a and - x= a
|x + 2| < 11
Then x + 2 < 11 and -(x + 2) < 11
x + 2 < 11 and -x - 2 < 11
For each point Identity where the point is located
HELP THIS IS LEGIT OVERDUE BY TWO HOURS
Answer:
3, 1, 2, 4, 5, 6
Step-by-step explanation:
i gave it to you in order from top to bottom
NEED NOW PLZ !!!!!!!!!!!!!!!!!!!!!!1
What is the area of the trapezoid?
Answer:
it 40 :)
Step-by-step explanation:
Answer:
1476
Step-by-step explanation:
Refer to the diagram shown.
Answer:
60º
Step-by-step explanation:
Craig has 80 cents in nickels (n) and dimes (d). He has four more nickels than dimes.
Write a system of equations that models the situation.
Solve the system of equations using any method.
PLEASE I NEED HELP!!!!
Answer:
Criag has 4 dimes and 8 nickles
Step-by-step explanation:
1 dime = 10 cents
1 nickle = 5 cents
4 dimes = 40 cents
8 nickles = 40 cents
40 cents + 40 cents = 80 cents
8 - 4 = 4
therefore it is equivelent that criag has 4 dimes and 8 nickels.