Answer:
Water is being collected at the rate of 11.25 gallon per minute.
Step-by-step explanation:
In this function the filling of water in the pool is dependent on the number of minutes. The more time the tap is opened the greater amount of water can be accumulated in the pool .
So time is independent and water is the dependent variable.
The function can be represented by
f(x)= xt where t is the time in minutes
90 gallons= x * 8 minutes
or x= 90/8 = 11.25 gallon per minute.
So water is being collected at the rate of 11.25 gallon per minute.
Spanish
En esta función, el llenado de agua de la piscina depende de la cantidad de minutos. Cuanto más tiempo se abre el grifo, mayor cantidad de agua se puede acumular en la piscina.
Entonces el tiempo es independiente y el agua es la variable dependiente.
La función se puede representar por
F (x) = xt donde t es el tiempo en minutos
90 galones = x * 8 minutos
o x = 90/8 = 11,25 galones por minuto.
Entonces, el agua se recolecta a una velocidad de 11.25 galones por minuto.
can you help me please
A scientist needs 10 liters of a 20% acid solution for an experiment, but she has only a 5% solution and a 40% solution. To the nearest tenth of a liter, about how many liters of the 5% and the 40% solutions should she mix to get the solution she needs? Write and slove an equation to match the situation. :
Equation:________________________
Solution:____ liters of 5% and _____ liters of 40%
Answer:
Equation: X × 0.4 + (10 - X)×0.05 = 10 × 0.2
Solution: 5.71 liters of 5% and 4.29 liters 40%
Step-by-step explanation:
The volume of the 20% acid solution the scientist needs = 10 liters
The concentration of the solution she has = 5% and 40%
Therefore, we have;
X volume of the 40% solution is mixed with 10 - X volume of the 5% solution, to obtain 10 liters of the 20% solution
Therefore, we have;
Equation: X × 0.4 + (10 - X)×0.05 = 10 × 0.2
0.4·X + 0.5 - 0.05·X = 2
0.35·X = 2 - 0.5 = 1.5
X = 1.5/0.35 = 30/7
∴ The volume of the 40% solution = 30/7 liters ≈ 4.29 liters
The volume of the 5% solution = 10 - X = 10 - 30/7 = 40/7 liters ≈ 5.71 liters
Therefore, we have;
5.71 liters of 5% solution and 4.29 liters 40% solution.
Dan’s school is planning a field trip to an art museum. Bus company A charges a $60 rental fee plus $4 per student Bus company B charges $150 plus $2 per student. How many students would have to go for the cost to be the same?
Answer: 45 students
Step-by-step explanation:
Company A’s charge can be represented by: 4s+60
Company B’s charge can be represented by: 2s+150
s is the charge per student
To find the cost at which they are the same, I will set both equations equal to each other.
4s+60=2s+150
-2s -2s
2s+60=150
-60 -60
2s=90 Divide both sides by 2
s=45
So when 45 students are going, the cost for both companies are the same.
At a local car wash Josh can vacuum 3 cars in 17 minutes. How many cars can he vacuum in an hour?
Answer:
10 cars
Step-by-step explanation:
he can vacuum 3 cars in 17 minutes
so in 1 hour its (60/17) x 3
Or you can do 17/3 for how long it takes to clean 1 car
then divide 60 by that number, you round down for both since you don't complete the car if its a decimal
PLEASE HELP ME ITS URGNT The sum of two consecutive integers is 173. What number is the greatest of the two consecutive integers?
Answer:
Let x=the smaller integer.
Let x+1+ the larger integer.
x+(x+1)=173
(x+x)+1=173
2x+1=173
2x+1-1=173-1 (substract 1 from both sides)
2x=172 (divide 2 to both sides)
2x/2=172/2
x=86
x+1=87
Step-by-step explanation:
Brittany will be working full time this summer to save for her goal of having 10,000 by the time she is 21. Brittany has an account of 3.5% interest, compounded monthly. She'll turn 17 at the end of the summer. About how much will Brittany have to deposit so that. Her money can grow into 10,00 by the time she's 21?
Answer:
$ 8,695.35
Step-by-step explanation:
This is a compound interest question
Amount after t years = A = P(1 + r/n)^nt
Where P = Initial Amount saved
r = interest rate
t = time in years
n = compounding frequency
A = 10,000
r = 3.5 %
t = 21 - 17 = 4 years
n = Compounded monthly = 12
Step 1
Converting R percent to r a decimal
r = R/100 = 3.5%/100 = 0.035 per year.
P = A / (1 + r/n)^nt
Solving our equation:
P = 10000 / ( 1 + (0.035/12)^12 ×4 =
P = $8,695.35
The principal investment required to get a total amount, principal plus interest, of $10,000.00 from interest compounded monthly at a rate of 3.5% per year for 4 years is $8,695.35.
Chris correctly measured the length of a line segment and his answer to the nearest centimeter. If the rounded measurement is 6cm, what would the most accurate statement about the actual measure of the line segment be?
Answer:
The most accurate statement is that the actual measure of the line segment is between 5.5 cm and 6.49 cm
Step-by-step explanation:
Here, given the measurement of the line segment rounded to the nearest cm as 6 cm, we want to give the most accurate statement about the actual measure
What we need here is the set of numbers which can be rounded to 6 cm
From 5.5 cm to 6.49 cm , all the measurements here can be rounded up to 6 cm
So the most accurate statement will be that the actual measure of the line segment is between 5.5 cm and 6.49 cm
The most accurate statement about the actual measure of the line segment be is between 5.56 to 6.49.
The measurement of the line segment rounded to the nearest cm as 6 cm, we need to give the most accurate statement.
What is a line segment?A line segment is a part of a line that connects two points which are distinct endpoints and contain every point on it.
From 5.56 cm to 6.49 cm, all the measurements here can be rounded up to 6 cm.
So, the most accurate statement will be the actual measure of the line segment between 5.56 cm and 6.49 cm.
Learn more about a line segment here:
https://brainly.com/question/25727583
Which of the following quadratic equations has no real solutions?
A 3x2 + 12x + 12 = 0
B 3x2 – 3x - 18 = 0
3x2 + 2x + 1 = 0
D
3x2 – 3 = 0
Answer:
C. 3x^2 + 2x + 1
Step-by-step explanation:
A. 12^2 - (4*3*12) = 0 (there's one solution.)
B. (-3)^2 - (4*3*-18) = 255 (there're 2 real solutions.)
D. 3^2 - (4*0*-3) = 9 (there're 2 real solutions.)
C. 2^2 - (4*3*1) = -18 ✅✅
if b^2 - 4ac = negative then we can say that there isn't any real solution for the equation.
What is the slope of a line that
contains the points (4, 3) and (-1, -4)?
Answer:
I believe its -7/5 unless they want -7/-5
Step-by-step explanation:
(4,3) (-1,-4)
X1,y1 x2,y2
And it should be
Y2-y1
X2-x1
-4-3 = -7
Over
-1-4 = -5
So -7/5 or -7/-5 whatever your teacher perfers
Hope this helps
A cupcake baker is baking and selling cupcakes to make money
His equation which shows profit (y) for selling cupcakes at price (x) in dollars
The equation is y= -200(x-3)² + 450
questions :
1, What profit would the baker make if he sold cupcakes for $5?
2, What price would maximize his profits? ( if negative it is a loss)
3, What would the maximum profit be?
Answer:
uhh precious why u stalkin me????
Step-by-step explanation:
Hi I need help please, ill give brainliest if your correct
The soccer field at a park is 9,000 square yards. The soccer field takes up 6 2/5 square inches on the map of the park. How many square yards does 1 square inch on the map represent? Show your work. Help me pls
Answer: 1406.25
Step-by-step explanation:
The soccer field at a park is 9,000 square yards. The soccer field takes up 6 2/5 square inches on the map of the park. How many square yards does 1 square inch on the map represent? Show your work. Help me pls
Given that:
Area of soccer field = 9000 sq yards
Soccer field takes up 6 2/5 square inches on the map of park
Hence,
9000 yd² = 6 2/5 in²
Let 1 in² on map = m
9000 yd² = 32/5 in² - - - (1)
m = 1 in² - - - (2)
Cross multiply ;
6.4 * m = 9000
m = 9000/6.4
m = 1406.25
Hence,
1 in² on map = 1406.25 feet²
900
Each day for two workweeks (10 days total), George weighs 4 bags from that day’s production. If the average of the means is 14 oz. and the average range is 0.4 oz., what is the lower control limit for an x-bar chart for this process?
a. 13.7084 oz.
b. 13.8768 oz.
c. 14.2916 oz.
d. 12.8000 oz.
e. 13.5908 oz.
Answer:
a. 13.7084 oz.
Step-by-step explanation:
Formula for Lower Control Limit =
(LCL = x-bar - A²R-bar)
x - bar = 14 oz
A2 = 0.729
R - bar = 0.4 oz
= 14 - 0.729 × 0.4
= 14 - 0.2916
= 13.7084oz
what is the answer to 8-5x=-37
Answer:
x=9
Step-by-step explanation:
Subtract 8 from both sides.
−5x=−37−8
Subtract 8 from −37 to get −45.
−5x=−45
Divide both sides by −5.
x= -45/-5
Divide −45 by −5 to get 9.
x=9
Answer:
9
Step-by-step explanation:
Step 1:
8 - 5x = - 37 Equation
Step 2:
8 = - 37 + 5x Add 5x on both sides
Step 3:
45 = 5x Add 37 on both sides
Step 4:
x = 45 ÷ 5 Divide
Answer:
x = 9
Hope This Helps :)
Tammy usually uses her cupcake recipe to make 18 cupcakes, but this time 1 point
she wants to make 36 cupcakes. The recipe calls for 13/4 cups of sugar and
Tammy has 2 cups on hand. How much more sugar does she need?
What distance did the bus travel???
Answer:
495km
Step-by-step explanation:
180 km in 4 hours means x km in 11 hours.
Cross multiply and you'll find x as 495 km
A store sells two types of toys, A and B. One unit of toys A yields a profit
of $2, while a unit of toys B yields a profit of $3. The store owner, Anthony, estimates that no more than 2000 toys will be sold every month. Anthony pays $8 and $14 for each one of toy A and B respectively. He also does not plan to invest more that $25,000 in inventory of these toys. Identify the variables.
x = profit
y = toys
x = Toy A
y = Toy B
x = Toy A
y = profit
x = Toy B
y = Toy A
Answer:
Step-by-step explanation:
a b
help plz !! Which is the graph of an even monomial function?
Answer:
Imagie 1 and 2
monomial function graph look like this
<3 ily
Red
Answer:
The first image
Explanation:
Hope you have a great day!
At the movies, Hunter bought 3 popcorn and 5 drinks. Each popcorn
costs $0.40 less than a drink. If he spent a total of $24.00, what was the
cost of each popcorn?
Step by step explanation pls!!!!
Answer:
P= $2.75
Step-by-step explanation:
So first we need to create our system of equations
since each popcorn is 0.40 less than each drink we can make the equation:
D - 0.40 = P we can rewrite that as P + 0.40 = D so that we have D by its self.
Next, we create the overall equation:
$24.00 = 3P + 5D
Now plug in D from the first equation into the second equation:
$24.00 = 3P + 5( P + 0.40)
Distribute the five and solve for P:
$24.00 = 3P + 5P + 2
$22.00 = 8P
P = $2.75
Now add 0.40 which would be $3.15 and plug it into the first equation just to make sure that the answer is correct.
For any two integers a and b, (a + b)² = a² + b²
Answer:
wrong
Step-by-step explanation:
(a+b)^2=(a+b)(a+b)
=a(a+b)b(a+b)
=a^2+ab+ab+b^2
=a^2+2ab+b^2
i hope it helps you
On Monday, Jill used 12 quart of paint in 34 hour. On Tuesday, Jill was distracted by texting and used 12 quart of paint in 54 hour. What is the difference in her usage rates in quarts per hour?
A.14
B.23
C.415
D.1615
Answer:
(1/2) qt/(3/4) hr = (1/2)*(4/3) qt/hr = (2/3) qt/hr
The rule for division of fractions is: invert the denominator and multiply.
PLEASE ANSWER!
Using the given zero, find one other zero of f(x).
4 - 5i is a zero of f(x).= x4 - 8x3 + 42x2 - 8x + 41.
answers
A)-4 - 5
B)1
C)1-1
D)4 + 5i
***NOTE YOU GET 37 POINTS FOR ANSWERING QUESTION * A gallon of fresh squeezed orange juice at Piggly Wiggly Supermarket costs $2.70. Below are the costs of orange juice at other supermarkets. Which of the following has the same unit rate for orange juice as Piggly Wiggly? Select all that apply.
❏ Supermarket A: 2 gallons of orange juice for $5.40.
❏ Supermarket B: 2.25 gallons of orange juice for $6.30.
❏ Supermarket C: 1.25 gallons of orange juice for $3.38.
❏ Supermarket D: 1.5 gallons of orange juice for $4.43.
❏ Supermarket E: 0.75 gallons of orange juice for $2.03.
Answer:
the answers would be: A, C, and E
Step-by-step explanation:
Answer:
A,C,E Are the answers
Step-by-step explanation:
Its a,c,e because 5.40 divided by 2 gallons is 2.70. Its C because 3.38 divided by 1.25 gallons is 2.70. Its E because 2.03 divided by 0.75 is 2.70.
Mira has breakfast at a restaurant. She leaves a 20% tip of $1.80.
What is the price of Mira's breakfast,before tip?
Answer: $9.00
.......................................
Please answer I promise I will mark you brainiest
Answer:
1. A=907.92
2. A=113.1
3. A=37.5
P=35
4. A=234
P= 75.6
Step-by-step explanation:
Answer:
DID YOU REALLY NEED TO ASK THIS!!!!!!!!!!!!
Step-by-step explanation:
PLEASE HELP!!! 20 BRAINLIST
Look at points C and D on the graph:
A coordinate plane graph is shown. Point C is at negative 5 comma negative 1. Point D is at 0 comma 3. A segment connects the two points.
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.
5.50 units
6.40 units
9.00 units
41.00 units
Answer:
Im pretty sure its 6.40 units
Step-by-step explanation:
Find the gradient of the straight line joining A(-4, -1) to B(4, 2)
Answer:
The slope of the line is [tex]\frac{3}{8}[/tex]
Step-by-step explanation:
Given parameters:
A(-4, -1) to B(4, 2)
Unknown:
The slope of the line joining the two points
Solution:
To find the slope of the line; we use the expression below:
Slope = [tex]\frac{y_{2} - y_{1} }{x_{2} -x_{1} }[/tex]
x₁ = -4
y₁ = -1
x₂ = 4
y₂ = 2
Input the parameters and solve;
Slope = [tex]\frac{2 -(-1)}{4-(-4)}[/tex]
Slope = [tex]\frac{3}{8}[/tex]
The slope of the line is [tex]\frac{3}{8}[/tex]
find the value of x. PLEASE HELP
I need to show my work.
THANK YOU!!!
==========================================
Work Shown:
The given angles are a linear pair, so they are supplementary.
(1+5x)+(3+3x) = 180
1+5x+3+3x = 180
(5x+3x)+(1+3) = 180
8x+4 = 180
8x+4-4 = 180-4 .... subtract 4 from both sides
8x = 176
8x/8 = 176/8 ..... divide both sides by 8
x = 22
------------
Extra info:
1+5x = 1+5*22 = 1+110 = 111
3+3x = 3+3*22 = 3+66 = 69
111+69 = 180, which helps confirm the answer.
Step-by-step explanation:
Hope it helps man ......
Step 3: 2x > 10 Step 4: x > 5 What property justifies the work between step 3 and step 4? A. division property of inequality B. inverse property of multiplication C. subtraction property of inequality D. transitive property of inequality
Answer:
A. Division property of inequality.
Step-by-step explanation:
Let be [tex]2\cdot x > 10[/tex], we proceed to show the appropriate procedure to step 4:
1) [tex]2\cdot x >10[/tex] Given
2) [tex]x > 5[/tex] Compatibility with multiplication/Existence of multiplicative inverse/Associative property/Modulative property/Result. (Division property of inequality)
In consequence, the division property of inequality which states that:
[tex]\forall\, a, b, c \in \mathbb{R}[/tex]. If [tex]c > 0[/tex], then:
[tex]a> b\,\longrightarrow a\cdot c > b\cdot c \,\lor\, a<b \longrightarrow a\cdot c < b\cdot c[/tex]
But if [tex]c < 0[/tex], then:
[tex]a> b\,\longrightarrow a\cdot c < b\cdot c \,\lor\, a<b \longrightarrow a\cdot c > b\cdot c[/tex]
Hence, correct answer is A.
what is the missing term?
1. (x+2)^2 = __ +4x+4
2. (2x-3)^2 = 4x^2+__+9y^2
3. (3x+4)^2 = 9x^2 + 24x+__
4. (x-y)^2= __-2xy+y^2
5. (2x+3y)^2 = 4x^2+__+9y^2
Answer:
see explanation
Step-by-step explanation:
The general expansion of (a + b)² is
(a + b)² = a² + 2ab + b²
Applying this to the following expansions
(1)
(x + 2)² = x² + 2(2x) + 2² = x² + 4x + 4 ← missing term is x²
(2)
(2x - 3)² = (2x)² + 2(2x)(- 3) + 3² = 4x² - 12x +9 ← missing term is - 12x
(3)
(3x + 4)² = (3x)² + 2(3x)(4) + 4² = 9x² + 24x + 16 ← missing term is 16
(4)
(x - y)² = x² + 2(x)(- y) + y² = x² - 2xy + y² ← missing term is x²
(5)
(2x + 3y)² = (2x)² + 2(2x)(3y) + (3y)² = 4x² + 12xy + 9y² ← missing term is + 12xy