Solution,
Change in water level is [tex]1\dfrac{1}{2}\ \text{inches}=\dfrac{3}{2}\ \text{inches}[/tex]
The water level of a lake fell by [tex]1\dfrac{1}{2}[/tex] inches during a [tex]1\dfrac{2}{3}\ \text{or}\ \dfrac{5}{3}[/tex]week-long dry spell.
Average rate at which the water level changed every week is given by :
[tex]R=\dfrac{1\dfrac{1}{2}}{1\dfrac{2}{3}}\\\\R=\dfrac{\dfrac{3}{2}}{\dfrac{5}{3}}\\\\R=\dfrac{3}{2}\times \dfrac{3}{5}\\R=\dfrac{9}{10}\\\\R=0.9[/tex]
Hence, the average rate is 0.9 every week.
This is a two-part question: A 12-pack of bottled mineral water sells for $3.85. For the following,
state whether to use multiplication or division for the specified amount:
a) The cost of one bottle of water:
b) The cost of four 12-packs of water:
Answer:
The cost of one water bottle of water would be division, The cost of four 12-packs of water is multiplication.
Step-by-step explanation:
who ever do it first will make brainlyest
Answer: I’m pretty sure it’s 0.35¢
Step-by-step explanation:
4.55/13
what is 49.672 to the nearest hundredth
Answer:
49.680
Step-by-step explanation:
the tenth is not small
Klara sold 45 tickets to the school play, which is 3 times as many as the number of tickets sold by John. How many tickets did John sel show how you know
Answer:
15
Step-by-step explanation:
45 divided by 3 equals 15
45 ÷ 3 = 15
Hi there!
Clue: x3 less than the tickets Klara sold...
Divide both terms:
[tex]45[/tex]÷[tex]3=15[/tex]
Tickets: 15
greg is working on a school project
Answer: Cool
Step-by-step explanation:
Greg is working on a school project
Answer:
noice
Step-by-step explanation:
Zubair Habib has been making payments on his 14% motorcycle loan for what seems like forever! Zubair made a payment June 1. His balance after that payment was $1,492.33. Zubair just got a $3,000 bonus from his employer and decides to use part of the money to pay off the loan on June 18. Calculate the payoff amount.
$1,492.33
$1,502.06
$1,482.60
$1,502.63
Answer:
B.) 1,502.06
Step-by-step explanation:
18-1=17
1492.33*14%*(17/365)+=9.731
1492.33+9.731= 1502.061 Don't round up.
I assume you're in Buss Math with me, trust me man this stuff is easy if you read the text book it shows you everything. Not to mention she gives out the textbook answers and you can use their examples to help.
I drove 527 miles and used 24 gallons of gas.
Answer:
21.9
Step-by-step explanation:
assuming you are asking about how much miles per gallon you got 21.9 would be the answer you just simply divide 527 by 24
Answer:
21.96 miles per gallon
Step-by-step explanation:
6 1/4 ÷ 4
(6th grade math)
Answer: 1.5625
Step-by-step explanation: just a calculator
Answer:
1.5625
Step-by-step explanation:
Chelsea
Enter in the missing numbers to create equivalent ratios.
5
2
4
25
20
Enter in the missing numbers
Step-by-step explanation:
The way to find missing numbers in equivalent ratios is to multiply the means (the first denominator and the second numerator) and multiply the extremes (the first numerator and the second denominator). It sounds really complicated, but it is quite simple =)
2/5 = x/10
The means in this equivalent ration are 5 and x. The extremes are 2 and 10.
5x = 20
Now solve =)
x = 4
That was pretty simple. Let's move on to the next one. Do exactly the same thing here:
4/10 = 6/x
60 = 4x
15 = x
That was pretty simple, too! Keep going!
6/15 = x/25
15x = 15
x = 10
All of these should be equal, so check them by dividing:
2/5 = 0.4
4/10 = 0.4
6/15 = 0.4
10/25 = 0.4
They all check out, so these are your answers: 2/5, 4/10, 6/15, 10/2
pls give brainest
Maria took a taxicab from her home to the theater
downtown. The taxicab company charges a flat fee of $5.00
plus $0.25 per mile. Which equation represents C, the total
cost of her ride, in terms of m, the length of the trip in
miles?
Answer:
the answer is #3
Step-by-step explanation:
the expression that represents C, the total cost of her ride, in terms of m, the length of the trip in miles is C = 5 + 0.25m.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given this, Maria took a taxicab from her home to the theater downtown. The taxicab company charges a flat fee of $5.00 plus $0.25 per mile.
Since, C represents the total cost of her ride, in terms of m, the length of the trip in miles.
So,
Total cost = fixed cost + variable cost
In our case
Fixed cost = 5
and the variable cost = 0.25 per mile
For m miles variable cost = 0.25*m
Thus,
Total cost = 5 + 0.25*m
C = 5 + 0.25m
therefore, the expression that represents C, the total cost of her ride, in terms of m, the length of the trip in miles is C = 5 + 0.25m.
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Every rope has a safe working load. A rope should not be used to lift a weight greater than its safe working load. The table shows the safe working loads S (in pounds) for ropes with circumference C (in inches). Write an equation for the safe working load for a rope. Find the safe working load for a rope that has a circumference of 10 inches.
9514 1404 393
Answer:
S = 180C²18,000 lbsStep-by-step explanation:
Assuming the table attached with C in inches and S in pounds, we see that the first differences in S are ...
180, 540, 900
These are not constant, so the relation is not linear.
Second differences are ...
360, 360
These are constant, so the relation is quadratic. With a short trial, we find that a suitable equation is ...
S = 180·C²
__
The safe load for C=10 is then ...
S = 180·10² = 18,000 . . . pounds
What is the function equation of this table?
Answer:
f(x) = x * -3
Step-by-step explanation:
so, you have x and you have f(x), as you can see -4 turns into 12... you basically have to divide, multiply, add or subtract for each value to see what they have in common, here it's easy since -4 * -3 is 12, -2 * -3 is 6, 0 * -3 is 0, etc etc. hope it helped : )
Answer:
y=-3x
Step-by-step explanation:
(0,0) and (1,-3) are two points so 1-0=1 and -3-0=-3 and -3/1= -3.
2) The midpoint of the line segment between: (10,- 11) and (-8, -5) is:
Answer: (1, -8)
M = x1 + ×2 / 2 & y1 + y2 / 2
x1 = 10, y1 = -11 x2 = -8 y2 = -5
M = 10 + (-8) / 2 & -11 + (-5) / 2
Answer = 1, -8
Every day, you buy your lunch for $4 at school. How much money will you spend if you buy your lunch from Monday through Friday for three weeks?
Answer:
She would spend $60
Step-by-step explanation:
First you would multiply 5 and 4 ,because there are five days in a week, to get $20. Next you would multiply 20 by 3, because you want to know the total of three weeks, and you would get $60.
Answer: $60
Step-by-step explanation:
Need help please badly
Answer:
CED is a right angle, CEB=AEB
hopw that helps
Answer:
1st, 2nd, 5th
Step-by-step explanation:
Ronnie buys 2 pairs of shoes for $50. Write an equation relating the total cost y to the number of pairs of shies x
Resplendent quetzal (Pharomachrus mocinno) is a beautiful bird species that lives in the tropical forests of Central America. Assuming that you started a breeding program and you would like to breed resplendent quetzal to produce longer tails. You measured 50 resplendent quetzals and obtained a mean tail length of 85.4 cm. You selected 10 resplendent quetzals with longest tails as breeders. The mean tail length of the breeders is 91.2 cm. After mating, offspring of the resplendent quetzal breeders have a mean tail length of 87.7 cm. What is the heritability of tail length in this resplendent quetzal population
Answer:
The value is [tex]H =0.3966[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 50
The mean tail is [tex]\= x = 85.4 \cm[/tex]
The number of resplendent quetzals selected as breeders is [tex]k = 10[/tex]
The mean tail breeders is [tex]\= x_1 = 91.2 \ cm[/tex]
The mean tail of the breeders after mating [tex]\= x_2 = 87.7 \ cm[/tex]
Generally the selection differential is mathematically represented as
[tex]D = \= x_1 - \= x [/tex]
=> [tex]D = 91.2- 85.4 [/tex]
=> [tex]D = 5.8 \ cm [/tex]
Generally the selection response is mathematically represented as
[tex]S = \= x_2 - \= x[/tex]
=> [tex]S = 87.7 - 85.4[/tex]
=> [tex]S =2.3 \ cm [/tex]
Generally the heritability of tail length in this resplendent quetzal population is mathematically represented as
[tex]H = h^2 = \frac{S}{D} [/tex]
=> [tex]H = h^2 = \frac{2.3}{5.8} [/tex]
=> [tex]H = h^2 = \frac{2.3}{5.8} [/tex]
=> [tex]H = h^2 = 0.3966/tex]
What is the least common multiple of the numbers 3 16 and 20 
Answer:
240
Step-by-step explanation:
See photo below
Credit goes to: calculatorsoup.com
are angles 1 and 4 vertical?
Answer:
vertical 5
Step-by-step explanation:
factor each completely
x²+x-30
A) (x+6)(x + 5)
B) (x – 6)(x – 5)
C) (x + 6)(x – 5)
D) (x + 1)(x + 5)
please
A movie rental company charges a monthly fixed membership fee of $13 plus $4 per movie that the user rents in
that month. If M represents the number of movies that the user rents, and C represents the user's total charge
for the month, find the relationship between M and C.
Answer:
$17 dollars a month and the relationship is 3 apart
Step-by-step explanation:
Answer:
C=4M+13
Step-by-step explanation:
Remember that as the number of movies M increases, the cost C increases too. For each additional movie, the cost increases by $4. This is added to the monthly fixed membership fee of $13.
help me i will mark brainliest
What is the square root of -1
Answer:
i
Step-by-step explanation:
If ABCD = QRST , m∠A = x - 10, and m∠Q = 2x - 30, what is m∠A?
Answer:
m<A = 10
Step-by-step explanation:
Answer:
10 degrees
Step-by-step explanation:
See https://brainly.com/question/11662137?referrer=searchResults
The zeros of the function are , 3, and , and the y-intercept of the function is located at .
Answer:
The zeroes are -1, 3, and -2
The y intercept is located at (0,6)
Step-by-step explanation:
(x+2)=0
x=-2
The easiest way is to use an online graph like desmos and graph the problem there. You can see where the y intercept is.
6) Anita bought a pie and ate 30% of it yesterday afternoon. In the night, her brother Bob ate 40% of what was left. The rest was kept for their sibling Sheila. What percentage of the pie was left for Sheila?
Answer: 30%
Step-by-step explanation:
Pie eaten by Anita = 30%
Pie eaten by Bob = 40%
total Pie = 100%
Pie left for by Sheila = 100 - (30 + 40)
= 100 - 70
= 30%
therefore, pie left for Sheila = 30%
Hope it helped u,
pls put thanks
and mark as the Brainliest.
Answer:70%
Step-by-step explanation:
Which equation written in two variables is equivalent to the function: f(x)=-2(x-4)
y=-2(x-4)
Answer:
16
Step-by-step explanation:
Answer:
y= -2(x-4)
Step-by-step explanation:
I got it right on the tutorial...
marcus collects donations and sends care packages to troops overseas. He has 36 bars of soap and 24 toothbrushes and wants to arrange the items so the packages are identical. What is the greatest number of packages that Marcus can make using all the soap and toothbrushes?
Answer:
He can make 12!
Step-by-step explanation:
The greatest number of packages that Marcus can make using all the soap and toothbrushes is 12.
Calculation of the greatest number:Since it contains 36 bars of soap and 24 toothbrushes
So here the greatest number should be
= number of bars of soap - toothbrushes
= 36-24
= 12
Hence, The greatest number of packages that Marcus can make using all the soap and toothbrushes is 12.
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A dance studio has fixed monthly costs of $1500 that include rent, utilities, insurance, and advertising. The studio charges $60 for each private lesson but has a variable cost for each lesson of $35 to pay the instructor.
Answer:
a)C(x)=1500+35x
b)R(x)=60 x
c)P(x)=25x-1500
d)The number of lessons that must be held for the studio to break even ia 60
e)The studio will make 550 if 82 lessons are held
Step-by-step explanation:
Monthly cost that include rent, utilities, insurance, and advertising = $1500
The studio charges $60 for each private lesson but has a variable cost for each lesson of $35 to pay the instructor.
a)Write a linear cost function representing the cost to the studio C(x) to hold x private lessons for a given month
Fixed monthly cost = $1500
Variable cost of trainer for each lesson = $35
Variable cost of trainer for x lessons = 35x
So, C(x)=1500+35x
b)Write a linear revenue function representing the cost to the revenue R(x) to hold x private lessons for a given month
Charge for 1 lesson = 60
Charge for x lessons = 60 x
So, R(x)=60 x
c)Write a linear profit function representing the cost to the profit P(x) to hold x private lessons for a given month
Profit = Revenue - Cost
P(x)=R(x)-C(x)
P(x)=60x-1500-35x
P(x)=25x-1500
d)Determine the number of lessons that must be held for the studio to break even
R(x)=C(x)
60x=1500+35x
25x=1500
x=60
So, the number of lessons that must be held for the studio to break even ia 60
e) If 82 lessons are held during a month how much money will the studio make or lose
P(x)=25x-1500
P(82)=25(82)-1500
P(82)=550
So, The studio will make 550 if 82 lessons are held
1)Profit function P(p)=25p-1500
2) For the break-even number of lessons to be held is 60 lessons.
3)Profit, when 82 sessions are held is $550.
The fixed monthly cost of the dance studio= $1500
The variable cost of the trainer for each lesson = $35
So, Variable cost of trainer for 'p' lessons = 35a
So, Total cost =1500+35p
Charge for 1 private lesson = 60
Charge for 'p' lessons = 60p
So, Revenue =60p
We know that, Profit = Revenue - Cost
So, Profit =60p-(1500+35p)
Profit=25p-1500
What is the break-even point?The break-even point is the point at which total cost and total revenue are equal.
For break-even
Cost = Revenue
1500+35p = 60p
p =60
So, for the break-even number of lessons to be held = 60 lessons
Profit when 82 sessions are held
Profit = 25p-1500
Profit = 25*82-1500
Profit = $550
Therefore, 1)Profit function P(p)=25p-1500
2) For the break-even number of lessons to be held is 60 lessons.
3)Profit, when 82 sessions are held is $550.
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What it 7,755 divided by 25?
Answer:
310.2
Step-by-step explanation:
Answer:
310.2
Step-by-step explanation:
c a l c u l a t o r