The amount of 10% alcohol solution in 50 ml alcohol solution is 30ml and amount 15% alcohol solution is 20ml.
In the given question
Bruce wants to make 50ml solution with 12 % concentration.
and he has 10% and 15% alcohol solution for that .
Let the amount of 10% alcohol solution = x
Let the amount of 15% alcohol solution = y
Given that x+y=50 ...(i)
According to the question the equation to find the 10% solution will be
0.10x + 0.15(50 – x) = 0.12(50)
Solving further we get
0.10x + 7.5 - 0.15x = 6
-0.05x + 7.5 = 6
-0.05x = 6 - 7.5
-0.05x = -1.5
x = -1.5/-0.05
x=30
So , 10% solution is 30 ml
Substituting the value of x=30 in equation (i) we get
30 + y = 50
y = 20
So , 15% solution is 20 ml
Therefore , the amount of 10% alcohol solution in 50 ml solution is 30ml and amount 15% alcohol solution is 20ml.
The given question is incomplete , the complete question is
Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a 15% alcohol solution. The equation 0.10x + 0.15(50 – x) = 0.12(50) can be used to find the amount of 10% alcohol solution Bruce should use.
How much of the 10% alcohol solution should Bruce use?
How much of the 15% alcohol solution should Bruce use?
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Which expression is equivalent to StartFraction RootIndex 4 StartRoot 6 EndRoot Over RootIndex 3 StartRoot 2 EndRoot?
Answer:
C
Step-by-step explanation:
used a calc and took test
(I NEED THIS DONE ASAP PLEASE) Lena wants to plant a new lawn, but she knows that it’s not safe to run a mower on a hill with a slope ratio steeper than 1 to 3 (Δy = 1, Δx = 3). She has two hills in her yard. Hill A rises 4 feet and has a horizontal distance of 85 feet. Hill B rises 75 feet and has a horizontal distance of 200 feet. On which hill(s) can Lena safely plant her lawn? Justify your reasoning clearly
Answer:
Hill AStep-by-step explanation:
Steepness of hill A:
4/85 < 1/3Steepness of hill B:
75/200 = 3/8 > 1/3The hill A is less sloped so it is safer to lawn plant
Jade’s weekly paycheck is $306.25. She makes $8.75 per hour. Divide to find the number of hours per week Jade works.
Answer:
35 hours a week
Step-by-step explanation:
306.25 / 8.75
35
Answer:
Jade works for a total of 35 hours per week.
Step-by-step explanation:
Since Jade's weekly paycheck is $306.35, and she makes $8.75 per hour, we need to divide the weekly amount by the hourly amount to find the amount of weeks that Jade works.
$306.25 ÷ $8.75 = 35
Therefore, Jade works for a total of 35 hours per week.
Hope this helps! :D
3(x + 5)2 + 6 vertex
Answer:
The equation does not match the form of any conic section.
Not a Conic Section
Step-by-step explanation:
The distance around the outside of cedar parks is 0.8 miles joanie ran 0.25 of the distance during her lunch break how far did she run
Answer:
If the total distance is 0.8km we need to multiply that amount by the proportion that she ran, which was 0.25 (one quarter or 25%). So 0.8km x 0.25 = 0.2km Looking another way, the word 'of' often means the same as 'multiply', so 0.25 of 0.8km = 0.25 x 0.8km = 0.2km Joanie ran a total of 0.2 km during her lunch break.
Step-by-step explanation:
After a discount of 40%, the sale price of a ridepass at a fun park is $30 what was the orginal price
find the equation of a circle with a center at (-1, 5) and a point on the circle is (4, 4). ( x 1) 2 ( y - 5) 2
The equation of a circle is x² + y²+ 2x - 10y = 0 with a center at (-1, 5).
What is the equation of a circle?The equation of a circle with center (h,k) and radius r is :
r² = (x−h)² + (y−k)²
Given that a circle with a center at (-1, 5) and a point on the circle is (4, 4).
Since the circle passes through points (4, 4),
So the radius (r) of the circle is the distance between points (-1, 5) and (4, 4).
⇒ r² = (-1−4)² + (5−4)² = 25 + 1
⇒ r = √26
The center of the circle is given as (h,k) = (-1, 5)
So the equation of the circle is
⇒ r² = (x − h)² + (y − k)²
Substitute the values of r, h, and k in the above equation,
⇒ 26 = (x − (-1))² + (y −5)²
⇒ 26 = (x + 1)² + (y −5)²
⇒ 26 = x² + 2x +1 + y² - 10y + 25
⇒ x² + y²+ 2x - 10y = 0
Hence, the equation of a circle is x² + y²+ 2x - 10y = 0 with a center at (-1, 5).
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Which slope is the steepest?
y = 10x
y = 0.3x
y = 5x
y = 0.7x
Answer:
y = 10x
Step-by-step explanation:
*Remember the equation of a line is y = mx + b
Attached are each of the options graphed. As m increases, the slope becomes steeper. The blue line, y = 10x is the steepest of them all.
Hope this helps!
I need help solve this please
Answer:
A= (2,-3) B= (7-4) C= (4,1)
Step-by-step explanation:
Vertices are the corners of the triangle so we can just use the coordinate plane to find the position of the corners.
Three of the thirty computers are out of service (not working). What percent are working?
Answer:
Percentage of computers working equals:
90%
Step-by-step explanation:
Three of the thirty computers are out of service.
Number of computers working=30-3=27
Total computers=30
Percentage of working computers=
=
= 90%
Hence, Percentage of computers working is:
90%
Answer :
90%
Step-by-step explanation:
3/30 = 10% and the remaining percent is 90%
Factor the following polynomial.
98x3 – 18x
Answer:
2x(7x - 3)(7x +3)
Step-by-step explanation:
Find common factors between the 2 numbers:
98x^3 - 18x
2x(49x^2 - 9)
now find what numbers multiplied together is 49, and find what numbers added together equals 0 and the product is 3, 7 times 7 is 49 and 3(-3) = 9 while 3 - 3 = 0 so:
2x(7x - 3)(7x +3)
1. Find the probability if a computer randomly picks a letter in the phrase, “ YOU WILL ALWAYS BE MY BEST FRIEND.”
a. The letter E
b. The letter L
c. The complement of letter E
d. The complement of letter L
2. Find the odds if a computer randomly picks a letter in the phrase, “ YOU WILL ALWAYS BE MY BEST FRIEND.”
a. The letter E
b.The letter L
If a sample has a small standard deviation, we can say the scores in the sample are.
If a sample has a small standard deviation, we can say the scores in the sample are consistent.
Standard deviation is a measure of dispersion. It measures the variation of the scores from the central value of the distribution.
A data is said to be consistent when this variation is less. Such data are easy to handle for studies.
When it is difficult to study the very large population, we choose samples from the population randomly. Each of these samples also have its own standard deviation. When this standard deviation is small, then the data is more consistent. That is, the scores in the sample goes well with those in the population.
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1- (-16) and 11- (11) just in case this information is needed it's integers I'm doing this for extra credit
Answer:
?
Step-by-step explanation:
Which relation is a function?
{(1, −1), (−2, 2), (−1, 2), (1, −2)}
{(1, 2), (2, 3), (3, 2), (2, 1)}
{(1, 4), (2, 3), (3, 2), (4, 1)}
{(4, 2), (3, 3), (2, 4), (3, 2)}
Answer:
The answer to this question is B
Step-by-step explanation:
just believe
math I need help please help
Answer:
whats the problem
Step-by-step explanation: ?
Please help with this question, thank you.
Troy invests $540 in a savings account that earns a simple interest
rate of 2.3% annually. How much money will Troy have in
the account after four years assuming he does not deposit or
withdraw any money?
please help:)
wish i could help bro bro.
Answer/step-by-step explanation:
Well, we first need to find out what 2.3 of $540 is.
540 x 2.3 = 1,242.
Now, we need to find what the yearly interest rate is over the course of four years.
1,242 x 4 = $4,968.
Therefore, Trey will have earned $4,968 after four years.
To complete this problem, we need to add this to his original balance, or $540.
4,968 + 540 = 5,508
Therefore, Trey would make a total of $5,508 after four years.
Hope this helps! :D
HELP ME PLZ BRAINLIST 4 U
Answer:
G
Step-by-step explanation:
I think its G because i counted the numbers...and i pretty sure its not a Negative so yah
for what base-6 digit $d$ is $2dd5 6$ divisible by the base 10 number 11? (here $2dd5 6$ represents a base-6 number whose first digit is 2, whose last digit is 5, and whose middle two digits are both equal to $d$).
The digits base is 7 then we should convert them into base 6.
The exponent or power to which a base must be raised to yield a given number. Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which case one writes x = logbn.
Here the conclusion is that there are many bases in the mathematics so what will happen is that we should convert these bases. For example, we have to convert base 10 of a number which is called decimal number can be converted into binary number whose base is 2 and after then if the digits base is 7 then we should convert them into base 6.
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Height of place A is 1800 m above sea level. Another place Bis 700mbelowsea level. What is the difference between the levels of these places?
Answer: 2500 m
Step-by-step explanation:
A is located above 1800 m
B is located below 700 m
Sea level is the datum.
So, difference between A & B = 1800 + 700 = 2500 m
tHE SPEED OF SOUND IN AIR IS 1100 FEET PER SECOND. THE SPEED OF SOUND IN STEEL IS 1500 FEET PER SECOND. ROBIN ONE EAR PRESSED AGAINST THE RAILROAD TRACK, HEARS A SOUND THROUGH THE RAIL SIX SECONDS BEFORE HEARING THE SAME SOUND THROUGH THE AIR. TO THE NEAREST FOOT HOW FAR AWAY IS THE SOURCE OF THAT SOUND
To the nearest foot the distance of source of that sound is 24,750 feet.
Given that;
Speed of sound in air = 1100 feet per second
Speed of sound in steel = 1500 feet per second
Time difference = 6 seconds
We have to find the nearest foot for the distance of source of that sound.
What is relation between distance, speed and time?
The relation between distance, speed and time is;
Speed = Distance/Time
We have;
Time difference = 6 seconds
Let the distance = x feet.
For the air;
Distance = x feet
Speed of sound in air = 1100 feet per second
Then, Time = Distance/speed = x / 1100
And, For steel ;
Distance = x feet
Speed of sound in steel = 1500 feet per second
Hence, Time = Distance/speed = x/1500
Since, Time difference = 6 seconds
Hence, The equation become;
x / 1100 - x/1500 = 6
(1500x - 1100x)/1100*1500 = 6
400x = 6 * 1100 * 1500
x = 24,750 feet.
Hence, To the nearest foot the distance of source of that sound is 24,750 feet.
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In triangle ABC,the measure of angle A is 78° and the measure of angle B is 35° What is the measure of angle C
Answer:
č= 67°
Step-by-step explanation:
x + 78+35=180
x + 113=180
x= 180-113
x= 67 degrees
Find the midpoint of (2,-9) and (-4,-4)
Need help ASAP pls!!!
Answer:
the answer is infinity
4 x 100 + 8 x 10 + 9 x 1 + 8 x (1/100) + 5 x (1/1,000) in standard form.
what is the missing number of each unit rate?
P= 2.50n - 300
How many candy bars must be sold to make a profit of $500?
Answer:
I need the answer
I dont know!!
Step-by-step explanation:
12 times 1/8 how do you cross multiply this
Answer:
12/1 times 1/8 = 1.5
Step-by-step explanation:
You multiply 12 by 1 to get 12, then divide 12 by 8 to get 1.5
Eighteen people are in a room. What is the minimum number of handshakes to occur to
guarantee that everyone has shaken everyone else's hand?
Answer:
153
Step-by-step explanation:
if im correct plz mark me brainliest!