Answer:
The food will last for 20 days
Step-by-step explanation:
The equation of the inverse proportional is xy = k, where k is the constant of variation
∵ In a hostel of 40 students, there is food for 30 days
→ That means the food is the constant k and the number of days y
varies inversely with the number of students x
∴ x = 40 and y = 30
∵ xy = k
∴ 40 × 30 = k
∴ 1200 = k
∴ The equation of the inverse proportional is xy = 1200
∵ 20 more students join the hostel
→ That means the number of students increased by 20
∴ The number of students in the hostel = 40 + 20
∴ The number of students in the hostel = 60
→ By using the equation above
∵ 60 × y = 1200
∴ 60y = 1200
→ Divide both sides by 60
∴ y = 20
∴ The food will last for 20 days
A rectangle is drawn so the width is 4 inches longer than the height. If the rectangle's diagonal measurement is 46 inches, find the height.
Give your answer rounded to 1 decimal place.
Inches.
Answer:
30.5 iches
Step-by-step explanation:
Which expression is equivalent to 6(2x + 4)?
A) 12 + 24
B) 12x + 4
C 12x + 24
D) 8x + 10
I need the answers to this ASAP
Answer:
First Answer: A = $ 4,247.03
A = P + I where
P (principal) = $ 4,000.00
I (interest) = $ 247.03
Second Answer : A = $ 6,325.22
A = P + I where
P (principal) = $ 5,500.00
I (interest) = $ 825.22
Third Answer: A = $ 7,735.55
A = P + I where
P (principal) = $ 7,000.00
I (interest) = $ 735.5
Fourth Answer: A = $ 7,735.55
A = P + I where
P (principal) = $ 7,000.00
I (interest) = $ 735.55
Step-by-step explanation:
HOPE IT HELPS MARK ME BRAINLIEST :)
Help me please on both of y’all can
Answer: 384 ft^2
Step-by-step explanation:
Like it said set up a proportional equation and solve for dimensions in feets.
The scale factor saids 0.75 in = 2 ft
And the dimensions are 6 in by 9 in
Now using the scale solve for how many feets will make 6 inches and how many feets will make 9 inches .
[tex]\frac{0.75}{6} = \frac{2}{x}[/tex] Solve by cross multiplying
0.75x = 12
x = 16
[tex]\frac{0.75}{9} = \frac{2}{x}[/tex] Cross multiply
0.75x = 18
x = 24
Now since we know the new dimensions are 16ft by 24ft then we will multiply them together to find the area .
16 * 24 = 384 ft^2
A 24,000-gallon pool is being filled at a rate of 50 gallons per minute. At this rate, how many minutes
will it take to fill this pool full?
Answer: 480 minutes or 8 hours
Step-by-step explanation:
24,000 ÷ 50 = 480.
It will take 480 minutes to fill the pool.
480 minutes ÷ 60 is also 8. So it will take 8 hours to fill the pool, or 480 minutes. Whichever one you want to use.
Hope this helps!
Answer:
480 Minutes or 8 Hours
Step-by-step explanation:
If you do 24,000 divided by 50 you get a result of 480
Solve the following system of equations graphically on the set of axes below.
Y=1/3x+6 y=-5/3x-6
Answer:
I can not solve it in the system of the image, but i will give you the graph so you can copy it, or at least see how it is done.
First, we have the lines:
y = (1/3)*x + 6
y = (-5/3)*x - 6
To graph these lines, you must find two points for the lines and then draw a line that connects the points.
To do it, you can evaluate each line in two different values of x, for example for the first line we can have:
y(0) = (1/3)*0 + 6 = 6 (then we have the point (0, 6))
y(3) = (1/3)*3 + 6 = 7 (then we have the point (3, 7))
And for the second line, we will have:
y(0) = (-5/3)*0 - 6 = -6 (then we have the point (0, -6))
y(3) = -(5/3)*3 - 6 = -11 (then we have the point (-3, -11))
Now with those points we can graph the lines, and the solution of the system of equation will be the point where the two lines intersect.
The graphs of the lines are shown below:
Where the grey line is the first one, and the green is the second.
In the graph, you can see that the lines intersect in the point (-6, 4)
Then the solution for the system is x = -6, and y = 4.
Which of the following government agencies does not regulate banking or financial markets?
a.
The NCUA
b.
The Federal Reserve
c.
The FCC
d.
The OCC
Please select the best answer from the choices provided
A
B
C
D
Answer:
C.FCC
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
If 2x=46, find the value of 7-6x
Answer:
-131
Step-by-step explanation:
By dividing by 2, we find that x = 23
Plugging this into the equation we can find
7-6x=7-6(23)=-131
Answer:
-131
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
2x = 46
Step 2: Solve for x
Divide 2 on both sides: x = 23Step 3: Define
7 - 6x
Step 4: Evaluate
Substitute: 7 - 6(23)Multiply: 7 - 138Subtract: -131ILL GIVE BRAINLEST
Answer:
its the first one brsinlest plz
Step-by-step explanation:
The number of adult Americans from a random sample of n adults who support a bill proposing to extend daylight savings time is a binomial random variable. Assume that its probability will be approximated using the normal distribution. Describe the area under the normal curve that will be computed in order to determine the probability that more than Americans support the bill.
Answer:
Right of X = 635.5
Step-by-step explanation:
By using the normal approximation to the Binomial random variable, we usually make use of continuity correction.
According to the rule of continuity;
P(X ≤ k) becomes P( X ≤ K + 0.5)
P(X < K) becomes P(X < K - 0.5)
P(X ≥ K) becomes P(X ≥ K - 0.5)
P(X > K) becomes P(X > K + 0.5)
P(X = K) becomes P(K - 0.5 ≤ X ≤ K + 0.5)
From the given question, Assume that we are to determine the probability that more than 635 Americans support the bill.
Then we use the > sign.
∴
P(X > K ) becomes P(X > K + 0.5)
P(X > 635) becomes P(X > 635 + 0.5)
⇒ P(X > 635.5) tot the right.
Right of X = 635.5
i need help with this one (T_T)
calculate the slope of the line
Answer:
[tex]m=\frac{-1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (2, 6)
Point (8, 4)
Step 2: Find slope m
Substitute: [tex]m=\frac{4-6}{8-2}[/tex]Subtract: [tex]m=\frac{-2}{6}[/tex]Divide: [tex]m=\frac{-1}{3}[/tex]
There are y boats on 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:
I hope this may help u
Step-by-step explanation:
6×y
Which expression is equivalent to 25?
2 + 2 + 2 + 2 + 2
5+5
0 2.2.2.2.2
5.5
DONE
Answer:
It's C because its 2 to the power of 5
Step-by-step explanation:
2x2x2x2x2
Which statement is true
A. The 6 in 0.6 is ten times the value of the 6 in 6.0 (wrong)
B. The 6 in 6.5 is 1/10 the value of the 6 in 65
C. The 6 in 625 is 100 times the value of the 6 in 625
Answer:
i think it A
Step-by-step explanation:
Chef Talbot is baking 6 blueberry pies. If he uses 3/4 of blueberries in each pie, how many pints of blueberries will he need??
Answer:
4 2/4 pints
Step-by-step explanation:
Well if you multiply 6 by 3/4 it equals 18/4 and if you turn that into a mixed number it will give you 4 2/4.
So in conclusion, Chef Talbot will use 4 and a half pints of blueberries.
a(7x + 3) = b + 14x?
Answer:
Step-by-step explanation:
So first add 7 +3 adn get 10, then add 14, and then you will get 24
24 is your answer.
Supervisor: "I see that 1000 calls were sent to your extension this month. 15% of those calls were not answered, which means that you did not answer __________ calls this month."
Step-by-step explanation:
850 calls
1000:100=10
1%=10
10×85=850
Discount is the reduction in value. The total number of calls not answered this is 150 calls
Discount and percentagesGiven the following
Total number of calls = 1000 calls
If 15% of those calls were not answered, the total calls that were not answered is given as:
Total call not answered . = 0.15 * 1000
Total call not answered = 150 calls
Hence the total number of calls not answered this is 150 calls
Learn more on percentages here: https://brainly.com/question/24304697
#SPJ2
Help help help help help plss
Answer:
Last one
Step-by-step explanation:
Answer:
48 divided by 4= 12
Step-by-step explanation:
i suck at math srry
Dertermine the quotient of 3/7 divided by 2/3 pls help
Answer: 9/14
Step-by-step explanation:
hope this helps!
What is the difference of the fractions represented in the model?
Can you simplify the below equation
[tex]\sqrt{(\sqrt{21} -2\sqrt{7}) ^2}[/tex]
Answer:
nope
Step-by-step explanation:
literally impossible
which is the correct answer?
Answer:
i think B
Step-by-step explanation:
William earns straight commission as a real estate agent. Last month his total sales were $971,168. If William earns a 3% rate of commission, what was his gross income last month?
Answer:
he earned $29,135.04
Step-by-step explanation:
to get answer you multiply total sales by .03
The answer is $29,135.04
Please help due today!!!!
Answer:2)75% 3)36 ounces 4)667 5)90 problems 6)4680
Step-by-step explanation:
Think these r correct. 2) 24/32 then multiply by 100=75%. 3)90% of 40=36. 4)580 x 1.15 (multiplier) which equals 667. 5)81/90 is 90% so the denominator is all the problems. 6)65% of 7200 is 4680.
PLEASE HELP DUE IN 5 min
Answer:
The answer is 21
Step-by-step explanation:
Male the shapes look similar by turning the smaller to be the same as the bigger one the compare side and then find xA porch that is 24.5 feet long needs to be lengthened by 12.2 feet. How long is the new length of the porch?
A cookie costs $1.95. How much would 15 cookies cost at the same price per cookie?
Answer:
cost of cookie = $1.95
cost of 15 cookies = $1.95 *15
cost of 15 cookies = $29.25
Step-by-step explanation:
The original price of an iPad is $429 the sale price 30% off the original price what is the sale price of the iPad
the calculator but I think it might be #143000
Answer:
sale price is therefore $300.30
Step-by-step explanation:
100% - 30% = 70%
0.70 * $429 = 300.30
The sale price is therefore $300.30
Please mark brainliest and have a nice day :)
pls helppppppppppppppp
Answer:
4 seems to be it
Step-by-step explanation: