Amount of water after x minutes is more in pool B.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Pool A started with 5000 liters of water, and 50 liters per minute are being.
Pool B started with 4800 liters of water, and 30 liters per minute are being.
5000-50x=4800-30x
Add 30x on both sides
5000-50x+30x=4800-30x+30x
5000-20x=4800
5000-4800=20x
200=20x
Divide both sides by 20
20=x
Now substitute x in pool A equation
5000-50x
5000-50(20)=5000-1000
Pool A =4000
Now substitute x in pool B equation
4800-30x
4800-30(20)
4800-600
Pool B =4200
4200>4000
Pool B> Pool A
Hence amount of water after x minutes is more in pool B.
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Which of the following equations have exactly one solution?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
6
x
−
6
=
15
x
+
15
6x−6=15x+156, x, minus, 6, equals, 15, x, plus, 15
(Choice B)
B
6
x
+
15
=
6
x
+
15
6x+15=6x+156, x, plus, 15, equals, 6, x, plus, 15
(Choice C)
C
6
x
−
15
=
6
x
+
15
6x−15=6x+156, x, minus, 15, equals, 6, x, plus, 15
(Choice D)
D
6
x
−
6
=
6
x
+
15
6x−6=6x+156
The equation which has exactly one solution is 6x - 6 = 15x + 15.
The correct answer option is option A
Solving equations with one solutionCheck all that applies:
6x - 6 = 15x + 15
6x - 15x = 15 + 6
- 9x = 21
divide both sides by -9
x = 21/-9
x = -2.33
6x + 15 = 6x + 15
6x - 6x = 15 - 15
0 = 0
False
6x - 15 = 6x + 15
6x - 6x = 15 + 15
0 = 30
False
6x - 6 = 6x + 15
6x - 6x = 15 + 6
0 = 21
False
In conclusion, the 6x - 6 = 15x + 15 has only one solution.
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A shop is having a sale.
All items are reduced by 25%
Work out the sale price of an item normally priced at £90
The sale price of an item normally priced at £90 is £67.5
What is the percentage?
A percentage in mathematics is a figure or ratio that is stated as a fraction of 100.
Given :
A shop is having a sale. all items are reduced by 25%.
To Find:
Work out the sale price of an item normally priced at £90.
Price of an item = £90
Price is reduced by 25%
Reduction in price = 25%*90=25/100= 22.5
Reduced price = 90-22.5=67.5
Hence, the sale price of an item normally priced at £90 is £67.5
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Find the equation of a line parallel to 3x+3y=6 that passes through the point (7,-1)
The equation of the line parallel to 3x+3y=6 that passes through the point (7,-1) is y = -x + 8
How to find equation of a line?The equation of a line can be represented as follows:
y = mx + b
where
m = slopeb = y-interceptThe lines that are parallel have the same slopes.
Therefore, let's find the slope of the equation 3x+3y=6.
3x + 3y = 6
3y = - 3x + 6
divide through by 3
y = - x + 2
Therefore, the slope is - 1.
Let's find the y-intercept of the equation using (7, 1)
y = - x + b
1 = - 7 + b
b = 8
Therefore, the equation of the line is y = -x + 8
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76.43 divide 3.4
Please Answer
Answer:
22.479411764705882352941176470588
Step-by-step explanation:
76.43/3.4
=22.479411764705882352941176470588
Help me find the slop for question 1 and 2 ill give credit
The slopes of the given lines are:
1. 2/5.
2. -1.
How to Find the Slope of a Line?If a line passes through points on a graph, [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex], the formula that can be employed to find the slope of a line is given as:
Slope (m) = change in y / change in x = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex].
1. Using two points on the line, (3, 1) and (-2, -1):
Slope of the line = m = (-1 - 1)/(-2 - 3)
Slope of the line (m) = -2/-5
Slope of the line (m) = 2/5
The slope of the graph is 2/5.
2. Using two points on the line, (-3, 2) and (2, -3):
Slope of the line = m = (-3 - 2)/(2 -(-3))
Slope of the line (m) = -5/5
Slope of the line (m) = -1
The slope of the graph is -1.
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Evaluate the expression and enter your answer in the box below.
|34|
Answer:
34
Step-by-step explanation:
Absolute value means the distance from 0. So the absolute value of 34 is just 34.
Elon is paid by the hour. He earned $50 for a 4 hour workday. How much
does he earn in one hour?
Answer:
$12.50 per hour
Step-by-step explanation:
Elon is paid by the hour. He earned $50 for a 4 hour workday. How much does he earn in one hour?
50 / 4 = $12.50 per hour
Be Precise: Yesterday, Noah ran 2½ miles in 3/5 hour. Emily ran 3 3/4 miles in 5/6 hour. Anna ran 3 1/2 miles in hour. How fast, in miles per hour, did each person run? Who ran the fastest? Help pleaseeee
Answer:
Step-by-step explanation:
Noah- 4 1/6 miles/hour
Emily- 8 1/10 miles/hour
Anna- 3 1/2 miles/ hour
Emily ran the quickest.
Answer:
Anna was the fastest.
Step-by-step explanation:
Following are the steps we take to determine each one's speed:
speed=distance/time
Noah went 4 1/6 miles an hour, Emily went 4 1/2 miles an hour, and Anna went 5 5/9 miles an hour. Therefore, Anna was the fastest.
An 80 kg jumper in flight accelerates at a rate of 8 m/s^2. What is the force of the long jumper? F = ma
By taking the product between the mass and the acceleration, we will see that the force is:
F = 640 N
What is the force of the long jumper?
By the second Newton's law, we know that a force can cause motion on a body by accelerating it, such that the force is equal to the product between the mass of the object and the acceleration.
F = m*a
F = forcem = massa = acceleration.Here we know that:
m = 80kg
a = 8 m/s^2
Replacing that we get:
F = (80 kg)*( 8 m/s^2) = 640 N
Where N is the unit Newton.
1 N = 1 kg*m/s^2
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Dennis spends 1.5 hours practicing guitar each
day. What is the total amount of time (in hours)
that Dennis spent practicing guitar after 8 days?
Dennis spent 12 hours practicing.
1.5 hours = 90 mins
90 mins x 8
720 mins = 12 hours
what is the height of the polygon if the area is 9,408
Answer:
84 cm=================
Given is a parallelogram
Area of the parallelogramA = bh, where h- height, b- baseSubstitute given values and find h9408 = 112hh = 9408/112h = 841 Which of the following equations are
true? Select all that apply.
A 7+(-7) = 14
B -4+9=5
C 3-(-10) = -7
D -2-6=-8
Equations B and D are true.
A jar contains only pennies, nickels, dimes, and quarters. There are 26 pennies, 12 dimes, and 19 quarters. The rest of the coins are nickels. There are 70 coins in all. How many of the coins are not nickels? If n represents the number of nickels in the jar, what equation could you use to find n? of the coins are not nickels.
Answer:
57 coins are not nickels.
Equation: n + 57 = 70
Step-by-step explanation:
To find how many coins are not nickels, just add up the pennies, dimes, and quarters all together:
26 + 12 + 19 = 57 coins are not nickels.
The equation you could use to find n (nickels) would be:
n + 57 = 70
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
The green point is marked on the coordinate plane. What ordered pair represents the green point?
Answer:
pretty sure its (-6, -4)
Step-by-step explanation:
in the ||| quadrant so I know they are both negative.
The point is 6 units to the left and 4 units down.
Hope this helps! Good luck!
line bd is tangent to a circle with diameter ab. explain why the measure of angle bca must equal the measure of angle abd.
The measures of the angles BCA and ABD are equal because they are both right angles.
The line segment BD is a tangent to the circle with diameter AB. We need to find out the reason why the measure of angle BCA must be equal to the measure of angle ABD. The diagram is attached below.
Since AB is the diameter of the circle, it makes an angle equal to 180 degrees at the center of the circle. So the measure of the angle BCA is half of the angle produced by the diameter.
∠BCA = (1/2)×180° = 90°
Since the line BD is tangent to the circle, it will be perpendicular to the diameter. Hence, the angle formed by the diameter and the tangent must be the right angle.
∠ABD = 90°
Hence, both the angles are equal to each other.
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Enter all real solutions to $(m-4)^4 = \left(\frac 1{16}\right)^{-1}$.
The value of m is 8.
What is Exponents and powers?The amount of times a number has been multiplied by itself is shown by its exponent. The result of multiplying 8 by itself n times is represented as follows:
8 x 8 x 8 x 8 x …..n times = [tex]8^n[/tex]
Given:
[tex]$(m-4)^4 = \left(\frac 1{16}\right)^{-1}$.[/tex]
Now, solving for m
[tex](m-4)^4[/tex] = 16
[tex](m-4)^4[/tex] = [tex]4^4[/tex]
Taking the quad root we have
m -4 = 4
m = 4+ 4
m = 8
Hence, the value of m is 8.
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a high school theater club has 40 student, 6 of whom are left handed. two student will be selected at random, one at a time without replacement. what is the pobability that the 2 student selected will both be left-handed/
1.92% is the probability .
Describe probability using an example?
By dividing the number of preferable possibilities by the total number of potential outcomes, probability, which measures the likelihood that an event will occur, is obtained. The most basic illustration is a coin toss. There are only two outcomes that can occur when you flip a coin: either heads or tails.The probability of an event is the ratio of the size of the event space to the size of the sample space.
The size of the sample space is the total number of possible outcomes
The event space is the number of outcomes in the event you are interested in.
so
Let
x------> size of the event space
y-----> size of the sample space
so
P = x/y
Find out the probability that the first student selected will be left-handed
we have
x = 6
y = 40
substitute
P = 6/40
Simplify
P = 3/20
the probability that the second student selected will be left-handed
we have
x = 6 - 1 = 4
y = 40 -1 = 39
substitute
P = 5/39
the probability that the 2 students selected will both be left-handed
Multiply the probabilities
P = 3/20(5/39) = 15/780
Convert to percentage
Multiply by 100
15/780 * 100 = 1.92%
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Complete the table. Round percent change to the nearest tenth of a percent.
Please find attached the completed table of the percentage changes on the amounts drawn with MS Word.
What is the percentage change on an amount?The percentage change on an amount is found by finding ratio of the change in the amount to the original amount then multiplying the obtained ratio by 100.
The percentage change formula is presented as follows;
[tex]\%C = \dfrac{x_2-x_1}{x_1} \times 100[/tex]Where;
%C = The percentage changex₂ = The new amountx₁ = the initial amountMaking each of the variables the subject, indicates;
The new amount, [tex]x_2 = \dfrac{\%C \times x_1}{100} + x_1[/tex]
[tex]\%C \times x_1+100\cdot x_1 = 100\cdot x_2[/tex]
[tex]x_1\cdot (\%C+100) = 100\cdot x_2[/tex]
The original amount, [tex]x_1 = \dfrac{100\cdot x_2}{(\%C+100)}[/tex]
The percentage change, [tex]\%C = \dfrac{c}{x_1} \times 100[/tex]
The original amount, [tex]x_1 = \dfrac{c}{\%C} \times 100[/tex]
Using the above formulas, the completed table is created with MS Excel and is presented as follows;
Original amount Change Percent Change New Amount
68 [tex]{}[/tex] 15 22.1 83
590 [tex]{}[/tex] -40 -6.8 550
115 [tex]{}[/tex] 20 17.4 135
120[tex]{}[/tex] -33 -27.5 87
125[tex]{}[/tex] -39 -31.2 86
163 [tex]{}[/tex] 47 28.8 210
274[tex]{}[/tex] 145.22 17.4 419.22
70 [tex]{}[/tex] -15.4 -27.5 54.6
1400[tex]{}[/tex] -1050 22.1 350
1250[tex]{}[/tex] -25 -2.0 1225
0.24[tex]{}[/tex] 0.3 125.0 0.54
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A square painting has a side length of 17 inches.
What is the area of the painting?
The area of the painting is 289 [tex]inches^{2}[/tex].
Given:
A square painting has a side length of 17 inches.
we know that,
Area of square = side * side.
= 17 inches * 17 inches
= 289 [tex]inches^{2}[/tex].
Therefore the area of the painting is 289 [tex]inches^{2}[/tex].
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8. 5. 3
Question Help
Gregg manages a small cleaning business. He has 16 employees. The cleaners get paid $13 per hour. The cleaning supervisors get paid $18 per hour. His budget has
set aside a payroll expense of $233 per hour if all of his employees are working. How many cleaners and how many supervisors does he employ?
supervisors.
Gregg employed cleaners and
(Simplify your answers. )
Gregg manages a small cleaning business. He has 16 employees. The cleaners get $13/hour. The cleaning supervisors get paid $18/hour. then Gregg employed 11 cleaners and 5 cleaning supervisors.
Set up a system of equations where c is the number of cleaners and s is the number of cleaning supervisors:
c + s = 16
13c + 18s = 233
Solve by substitution by solving for c in the first equation:
c + s = 16
c = 16 - s
Then, plug in 18 - s as c into the second equation:
13c + 18s = 233
13(16 - s) + 18s = 233
Solve for s:
208 - 13s + 18s = 233
208 + 5s = 233
5s = 25
s = 5
Then, plug in 5 as s into the first equation:
c + s = 16
c + 5 = 16
c = 11
So, Gregg employed 11 cleaners and 5 cleaning supervisors.
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Please help! This makes no sense to me
Geometry A
Brainliest for correct answer!!
a standard deck of 52 cards is acquired. for those who do not know, a deck of cards contains 4 suits (hearts, diamonds, clubs, and spades). hearts and diamonds are red, clubs and spades are black. there are 13 denominations of cards (2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, and ace). if you select two cards (without replacement), what is the probability that you select a black card and a red card?
The probability that you select a black card and a red card is 26/51 as per the condition mentioned "choosing two cards (without replacement )".
What is probability?The area of mathematics known as probability studies potential outcomes of events as well as their relative probabilities and distributions. Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.
Here,
Since we have not mentioned the order,
so it can black-red or red-black,
=26/52*26/51+26/52*26/51
=2*26/52*26/51
=26/51
Assuming you choose two cards (without replacement), there is a 26/51 chance that you will choose a black card and a red card.
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Randy is 8 years old. His brother is twice as old as Randy. Randy’s sister is three years younger than Randy.
Write an expression to represent the age of Randy’s brother.
Step-by-step explanation:
Randy is 8 years old. His brother is twice as old as Randy. Randy’s sister is three years younger than Randy. Write an expression to represent the age of Randy’s brother.
Randy = R = 8 years
Brother = B
B = 2R
solving:
B = 2R when R = 8
B = 2(8)
B = 16 years old
Answer: Its 16
Step-by-step explanation:
You need to take randy's age twice so you need to calculate 8x2= 16.
Kelly is trying to decide which plan to use to download songs. She can download 8 songs for $9.60 or 15 songs for $15.00. Which plan offers the lowest cost per song?
Answer:
The second plan ($15.00 for 15 songs) offers the lowest cost per song.
Step-by-step explanation:
The objective is to find the plan that provides the lowest cost per song. "Lowest cost per song" is basically $/song. So let's compare the two plans by calculating the cost per song.
Plan 1: $9.60/(8 songs) = $1.20/song
Plan 2: $15.00/(15 songs) = $1.00/song
The second plan ($15.00 for 15 songs) offers the lowest cost per song.
227 x 173 simplify using identities. Ple someone answer quickly.....
Find the equation of a line parallel to 5x+3y=−21 that passes through the point (-9,-3)
To find: Equation of line parallel to 5x + 3y = -21 and passes through the point (-9, -3)
Solving the given 5x + 3y = -21 for 3y yields 3y = -5x - 21.
Dividing all three terms by 3, we get:
y = (-5/3)x - 7, indicating that the given line has slope -5/3.
The slope of a line perpendicular to this y = (-5/3)x - 7 is 3/5, the negative reciprocal of -5/3.
Start with y = mx + b
Substitute -3 for y, -9 for x, and 3/5 for m
We get,
-3 = (3/5) (-9) + b
∴ b = 5/9
Thus, the equation is y = (3/5)x + 5/9 is the required equation of a line parallel to 5x+3y=−21 that passes through the point (-9,-3)
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The perimeter of a rectangle is 84 feet. The ratio of the width to the length is
2:5. Find the length and the width.
The width of the rectangle is 12 feet and the length is 30 feet.
What is perimeter?The perimeter of a shape is determined by adding the length of all the sides and edges enclosing the shape.
Given that, The perimeter of a rectangle is 84 feet. The ratio of the width to the length is 2:5.
Let the width be 2x and length be 5x,
Perimeter = 2(l+w)
2(2x+5x) = 84
2x+5x = 84/2
2x+5x = 42
7x = 42
x = 42/7
x = 6
Therefore, width = 6x2 = 12
Length = 5x6 = 30
Hence, The width of the rectangle is 12 feet and the length is 30 feet.
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i need help pls ahhhhh
Answer:
here is the answer have a good day
Answer:
1. 40/5=8
8 x 3p=24p
8(3p+5)=24p+40
2. 48/8=6
64/8=8
8(6q-8)=48q-64
Using your academic vocabulary and writing at least 5-7 sentences, give the (x, y) solution to the system and explain how to
solve it using the SUBSTITUTION METHOD. If your explanation uses any other method (graphing calculator or linear combination), you will not receive credit for this writing assignment.
y - 3x + 7
5x-y-5
Select the graph that can be used to find the solution(s) of the system of equations:
y = |x| – 3
y = –x2 + 9
Answer:
(3,0) (-3,0)
Step-by-step explanation:
ask:))
