Let x be the amount of pure water that you use.
The solution you have contains 0.45 • 180 mL = 81 mL of alcohol.
However much water you use, it won't add any alcohol to the solution, so only its total volume changes. Its new volume would be (180 + x) mL. You want the new solution to have a concentration of 15% so that
(81 mL) / ((180 + x) mL) = 0.15
Solve for x :
81 / (180 + x) = 0.15
81 / 0.15 = 180 + x
540 = 180 + x
x = 360
Then the new solution will have a total volume of 180 mL + 360 mL = 540 mL.
So you need to use 360 mL of pure water to get 540 mL of 15% solution.
What is the solution to this equation?
3(4x + 3) = 2x - 5(3 - x) + 2
A.
o o
O
-
O
D.
-
Answer:
-0.86
Step-by-step explanation:
12x + 9 = 2x - 15 + 5x + 2
Combine
19x = -22
What is -3.2 + (1 1/2) + (-2)
Answer:
-3.7
Step-by-step explanation:
-3.2 + 1.5 -2 = -3.7
Answer:
-5/2
Step-by-step explanation:
-6+11/2+(-2)
-12+11+(-4)/2
-5/2
Every chord is NOT diameter. But every diameter is a chord.” Do you agree or disagree with the statement? Justify.
Answer:
Yes
Step-by-step explanation:
The chord is a diameter only if it passes through the center of the circle. And a diameter is a chord because it goes from on point on the circle to another in a straight line.
Find the midpoint of JK if J(-7. -5) and K(-3,7).
Answer:
( − 5 , 1 )
Step-by-step explanation:
Use the midpoint formula to find the midpoint of the line segment.
Find the comthon ratio of the geometric sequence 10,60, 360,...
Answer:
10
Step-by-step explanation:
The common ratio of the geometric sequence 10,60, 360,... is 6.
What are arithmetic and geometric sequence?An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference
d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.
In a geometric sequence numbers are written in the same constant ratio(r).
It means every next number is a multiple of a common constant and the previous number.
r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.
Given, A geometric sequence 10,60, 360,...
We know the common ratio r in a geometric sequence is
r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.
Therefore,
The common ratio in this geometric sequence 10,60, 360,... is,
= 60/10 = 360/60 = 6.
So, The common ratio is 6.
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15/4 divided by -5/8
Answer:
-6
Step-by-step explanation:
Answer:
-6/1 or just -6
Step-by-step explanation:
15/4 ÷ (-5/8) is -6/1 .
Find the reciprocal of the divisor
Reciprocal of (-5/8) : (-8/5)
Now, multiply it with the dividend
So, 15/4 ÷ (-5/8) = 15/4 × (-8/5)
= 15 × (-8) = -120
4 × (-5) = -20
After reducing the fraction, the answer is -6/1 or just -6.
You are buying tickets to a school event. You may purchase at most 8 tickets to receive a discount. Write an inequality to express the number of tickets you can buy with a discount.
If you flip a coin 11 times, what is the probability of ending up with more heads than tails?
Answer:
55%
Step-by-step explanation:
A food bank sends a truck with 400 pounds of food pantries every week, and receives a government surplus shipment of 3,200 pounds every other week. If it has 10,000 pounds of food on hand at the beginning of July, how much will it have six weeks later?
If Jerry exceeds the speed limit of 65 miles per hour, he runs the risk of receiving a speeding ticket. If represents Jerry's speed, which inequality represents this situation?
A.x _65
C.x 65
If x is his speed, and the speed limit is 65 mph, then the inequality [tex]x > 65[/tex] represents him going over the speed limit.
The inequality [tex]x \le 65[/tex] is when Jerry isn't over the speed limit (so he's going either 65 mph or slower than this).
6th grade math i mark as brainly
Answer:
Points G and J are correct.
Step-by-step explanation:
A water tower holds 26400 gallons of water. The water company can fill the tower at a rate of 20 gallons per minute,
How many hours would it take the water company to all the tower if it is completely empty?
o 22 hours
24 hours
220 hours
0 440 hours
Answer:
22 Hours
Step-by-step explanation:
26400/20 = 1320m
1320m = 22h
22 Hours
Proof practice for geometry!
Need Help!
idek dwjejdjjriiwknansns
Step-by-step explanation:
nmjwjw
the number of painted turtles in a pond is one less than half of the number of bullfrogs. Let f represent the number of bullfrogs. Write an expression fro the number of painted turtles
Answer:
X = 1/2f - 1
Step-by-step explanation:
X is how many painted turtles in the pond. This would be the expression that you would you use to find the actual number of turtles, but we are just leaving it at the expression.
uhm help pleaseeee <3
They can buy 20 pumpkins
Answer:
they can buy 20 pumpkin
Step-by-step explanation:
250/12.32=20.29222077922
so 20 pumpkin they can buy
6/10 as hundredths in fraction form and decimal form
Answer:
60/100 and .6
Step-by-step explanation:
What is the solution to the system of equations?
6x – 9y = 16
2x – 3y = 7
A) (5, 1)
B) (2, -1)
C) (3,
2
9
)
D) no solution
Answer:
no solution
Step-by-step explanation:
[1] 6x - 9y = 16
[2] 2x - 3y = 7
// Solve equation [2] for the variable x
[2] 2x = 3y + 7
[2] x = 3y/2 + 7/2
// Plug this in for variable x in equation [1]
[1] 6•(3y/2+7/2) - 9y = 16
[1] 0 = -5 => NO solution
No solution
feel relax and free to ask me any math related question.
HELPPP PLEASE!!!! SHOW ALL WORK!!!
Answer:
x=48
Step-by-step explanation:
Since these angles are supplementary, they add up to 180. so, you can set the equation x+23+x+61=81. Simplify the equation and solve for x
Answer:
#1 is x+23°=23
#2 is x+61°=61
Step-by-step explanation:
Because when you are adding it will always be a positive number
But when you are subtracting it will always be a negative number
3 units right and 4 units down
Answer:
(3, 4)
Step-by-step explanation:
You need 660 mL of a 80% alcohol solution. On hand, you have a 40% alcohol mixture. How much of the 40%
alcohol mixture and pure alcohol will you need to obtain the desired solution?
You will need
mL of the 40% solution
and
mL of pure alcohol.
Submit Question
Let a be the amount of 40% solution and b be the amount of pure alcohol that you will use.
You want to end up with a volume of 660 mL, so
a + b = 660
For each mL of solution used, the 40% solution would contribute 0.4 mL of alcohol, and the pure alcohol will contribute 1 mL of alcohol. In the desired solution, you want a concentration of 80% alcohol, so that it contains 0.8 • 660 mL = 528 mL of alcohol, and
0.4a + b = 528
Solve the system of equations above. Subtracting the second from the first eliminates b and lets us solve for a :
(a + b) - (0.4a + b) = 660 - 528
0.6a = 132
a = 220
Then
220 + b = 660
b = 440
So you will need 220 mL of the 40% solution and 440 mL of pure alcohol.
According to a certain country’s department of education, 40.0% of 3-year-olds are enrolled in day care.
What is the probability that a randomly selected 3-year-old is enrolled in day care?
Given parameters:
Percentage of enrollment of 3-year-olds = 40%
Unknown:
Probability that a randomly selected 3-year-old is enrolled in a day care = ?
Probability is the likelihood of an event to occur.
Probability = [tex]\frac{Possible outcome}{Total out come}[/tex]
In this problem, 40% of the total number of 3-year-olds are enrolled in a day care.
We can say, out of every 100 3-year-olds, 40 of them will enroll in day care.
The possible enrollment is 40 and the total is 100;
Input the parameters and solve;
Probability = [tex]\frac{40}{100}[/tex] = [tex]\frac{2}{5}[/tex]
The probability that any randomly selected 3 year old is enrolled in day care is [tex]\frac{2}{5}[/tex]
14=−2c−6−3c what is the value of c?
Answer:
c=-4
Step-by-step explanation:
14=-2c-6-3c
14=-5c-6
20=-5c
-4=c
How can you solve linear equations by combining like terms?
Answer: In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power. For example, 8xyz² and −5xyz² are like terms because they have the same variables and power while 3abc and 3ghi are unlike terms because they have different variables. Since the coefficient doesn't affect likeness, all constant terms are like terms.
I HOPE THIS HELPED ! :) mark me brainlist pls
Answer:
by combining them like the ordinary like ordinary integers.
Step-by-step explanation:
For example we have
8x + 4y = 3x - 6
you will bring 3x to the left so it will become -3x
8x - 3x + 4y = -6
then combine like terms
there you have
5x + 4y = -6
The given:
8x + 4y = 3x - 6
8x - 3x + 4y = -6
5x + 4y = -6
answer for the example: 5x + 4y = -6
of the 50 students in the cafitera, 7 have red hair. If there are 750 students in the school, predict the number of students who have red hair.
Statements with nested quantifiers: English to logic, part 4. About A student club holds an election for officers. Before the voting, members can nominate each other. It is also possible for a member to nominate himself or herself. Some of the members are new members. Some of the members are currently officers. The domain is the set of members of the club. One of the members of the club is named Sam. Define the following predicates. N(x, y): person x nominated person y for a position. W(x): person x is a new member. O(x): person x is currently an officer. Give a quantified expression that is logically equivalent to each of the following statements.
(a) All the new members nominated all the officers.
(b) One of the current officers did not nominate anyone.
(c) Everyone nominated someone.
(d) Someone nominated everyone.
(e) Everyone nominated someone other than themselves.
(f) Exactly one person nominated Sam.
Answer:
someone please answer this equation
Step-by-step explanation:
i have this on my test and i really need help with it
A survey of all beings on planet Tott found that 30% preferred joogh
juice to all other juices. If 18 beings preferred joogh juice, how many
beings were surveyed altogether?
Answer: 60
(Sorry for not showing my work)
what is the area of the figure?
Answer:
24
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
you can split it into two parts. One with 4 x 3 = 12 and the other with 2 x 6 = 12. then add them together and you get 24.
In a game you have 1/20 probability of winning $76 and a 19/20 probability of losing $9. What is your expected value?
Answer:
1
Step-by-step explanation:
The expected value for the given case is $-4.75.
What is probability?Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lies in the close interval of 0 and 1 [0,1].
Given that,
The probability of winning $76 is 1/20.
And, the probability of losing $9 is 19/20.
The expected value for the given probability can be given by taking the product of the probability and the wining or losing amount and then substracting them as,
Expected value = 1/20 × 76 - 19/20 × 9
= 3.8 - 8.55
= -4.75
Hence, the expected value of amount for losing and winning the game is $-4.75.
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Find the distance and midpoint between the pair of points. A(-1, 0), B(2, -4)
Answer:
distance is 5
midpoint is (1/2,-2)
Step-by-step explanation:
