Answer:
The milk to water ratio in the new mixture is 3:2.
Step-by-step explanation:
Given that in a mixture of one hundred liters of milk and water the ratio of milk and water was 4: 1, to determine what is the ratio of milk to water in the new mixture when 25% of the mixture is removed and the same amount of water is added, the following calculation must be performed:
(100/5) x 4 = 80
80 liters of milk
20 liters of water
80 x 0.75 = 60
20 x 0.75 = 15
15 + 25 = 40
60 + 40 = 100
Thus, the milk to water ratio in the new mixture is 3:2.
Terrence played video games for 1/3 of an hour and walked his dog for 3/5 of an hour. Did Terrence spend more time playing video games or walking his dog?
Answer:
Terrence spend more time walking his dog .
Step-by-step explanation:
3/5 = 0.6
1/3 = 0.333
0.6>0.333
What is the measure of the exterior angle shown in the figure below?
Answer:Measures of Exterior Angles
They are formed on the outer part, that is, the exterior of the angle.
The corresponding sum of the exterior and interior angles formed on the same side = 180°.
Step-by-step explanation: is that what u mean?
There are 92 students in a chemistry class. The instructor must choose two students at random. Students in a Chemistry Class Academic Year Chemistry majors non-Chemistry majors Freshmen 15 15 Sophomores 13 9 Juniors 2 10 Seniors 12 16 What is the probability that a sophomore non-Chemistry major and then a junior non-Chemistry major are chosen at random
Answer:
0.0108 = 1.08% probability that a sophomore non-Chemistry major and then a junior non-Chemistry major are chosen at random.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Probability that a sophomore non-Chemistry major
Out of 92 students, 9 are non-chemistry major sophomores. So
[tex]P(A) = \frac{9}{92}[/tex]
Then a junior non-Chemistry major are chosen at random.
Now, there are 91 students(1 has been chosen), of which 10 are non-chemistry major juniors. So
[tex]P(B) = \frac{10}{91}[/tex]
What is the probability that a sophomore non-Chemistry major and then a junior non-Chemistry major are chosen at random
[tex]P = P(A)*P(B) = \frac{9}{92}*\frac{10}{91} = \frac{9*10}{92*91} = 0.0108[/tex]
0.0108 = 1.08% probability that a sophomore non-Chemistry major and then a junior non-Chemistry major are chosen at random.
True or False? A circle could be circumscribed about the quadrilateral below. c 80° A. True 95° B. False 85°
Answer:
False
Step-by-step explanation:
The circle could be circumscribed about the quadrilateral is false because the sum of the opposite angles is not 180 degrees.
What is quadrilateral?It is defined as the four-sided polygon in geometry having four edges and four corners. Two pairs of congruent sides, and it has one pair of opposite congruent angles.
As we know, the circle can be circumscribed around a quadrilateral if and only if the quadrilateral's opposite angles add up to 180 degrees.
But,
80 + 85 < 180
100 + 95 > 180
Thus, the circle could be circumscribed about the quadrilateral is false because the sum of the opposite angles is not 180 degrees.
Learn more about the quadrilateral here:
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A triangular pyramid has a height of 51 yards and a base with an area of 225 square yards. What is the volume of the pyramid?
WILL MARK BRAINLEST
PLEASE HURRYYY!!1
Answer:
3,825 y³
Step-by-step explanation:
please help!!
A hot-air balloon is rising straight up from a level field at a constant rate. This balloon is tracked by a range finder located on the ground 496feetfrom the lift-off point. At the moment the elevation angle from the range finder to the balloon is 0.875radian, this elevation angle is increasing at the rate of 0.225 radianper minute. At what rate is the distance between the range finder and the balloon changing when the elevation angle is 0.875 radian? Keep 3decimal places in your final answer
Answer:
46.091 m
Step-by-step explanation:
Given that
Height of the range finder, = 496 feet
Angle of elevation, θ = 0.875 Rad = 50°
Velocity of increment, = 0.225 rad/min
For starters, we try and assume that it all takes place in a triangular shape. Using Pythagoras theorem, we then know that
Tanθ = y / 496
y = 496 tanθ
On differentiating, we have
dy/dt = 496 sec²θ
dy/dt = 496 * 0.413 * de/df
dy/dt = 204.848 * de/df
dy/dt = 204.848 * 0.225
dy/dt = 46.091 m
What's the expanded notation of 5.34
Find the probability that a randomly chosen point is located within the shaded region. Write your answer as a decimal, and
round to the nearest thousandth, if necessary.
6
3
Probability
Answer:
[tex]Probability = 0.25[/tex]
Step-by-step explanation:
Given
The attached shape
Required
Probability of locating within the shaded region
First, calculated the area of the shaded region
[tex]A_1 = 0.5 * base * height[/tex]
Where
[tex]base = 8cm\\ height = 6cm[/tex] --- given
So:
[tex]A_1 = 0.5 * 8cm* 6cm[/tex]
[tex]A_1 = 24cm^2[/tex]
Next, calculated the area of the complete rectangle
[tex]A_2 = Length* Width[/tex]
Where
[tex]Width = 12cm\\ Length = 8cm[/tex] --- given
So:
[tex]A_2 = 12cm * 8cm[/tex]
[tex]A_2 = 96cm^2[/tex]
The required probability is:
[tex]Probability = \frac{A_1}{A_2}[/tex]
[tex]Probability = \frac{24cm^2}{96cm^2}[/tex]
[tex]Probability = 0.25[/tex]
What are the means?
Answer:
either 7 and 21 or 1 and 3 I believe I'm terribly sorry if I'm wrong friend
Given f(x)=(1/2x)-5, find f^-1(x).
Answer:
[tex]f^{-1}[/tex](x)=2x+10
Step-by-step explanation:
f(x)=[tex]\frac{x}{2}[/tex]-5
Let y= [tex]\frac{x}{2}[/tex]-5
y= [tex]\frac{y}{2}[/tex]-5
x+5= [tex]\frac{y}{2}[/tex]
Both side multiple 2,
2x+10=y
[tex]f^{-1}[/tex](x)=2x+10
h(x)=-2x^(2)+3x what is the value of h(-3)
Answer:
h(-3) = -27
Step-by-step explanation:
Given that,
[tex]h(x)=-2x^{(2)}+3x[/tex]
We need to find the value of h(-3).
Put x = -3 in the given expression.
[tex]h(-3)=-2(-3)^{(2)}+3(-3)\\\\=-2\times 9-9\\\\=-27[/tex]
So, the value of h(-3) is equal to -27.
The value of an investment decreased by 10%. The original amount was $75.00. What is the current value of the investment?
Answer:
82.5 is the right answer
Sales total : $19.000
Commission: 4.5%
What is the total amount paid?
Please do not put a link in they don’t work
Answer:
855
Step-by-step explanation:
What does 4! equal? Show the equation and what it equals
Answer:
4x3x2x1=24
Step-by-step explanation:
A bucket that weighs 6 lb and a rope of negligible weight are used to draw water from a well that is 80 ft deep. The bucket is filled with 36 lb of water and is pulled up at a rate of 1.5 ft/s, but water leaks out of a hole in the bucket at a rate of 0.15 lb/s. Find the work done W in pulling the bucket to the top of the well.
Answer:
3200 ft-lb
Step-by-step explanation:
To answer this question, we need to find the force applied by the rope on the bucket at time [tex]t[/tex]
At [tex]t=0, the weight of the bucket is 6+36=42 \mathrm{lb}[/tex]
After [tex]t[/tex] seconds, the weight of the bucket is [tex]42-0.15 t \mathrm{lb}[/tex]
Since the acceleration of the bucket is the force on the bucket by the rope is equal to the weight of the bucket.
If the upward direction is positive, the displacement after [tex]t[/tex] seconds is [tex]x=1.5 t[/tex]
Since the well is 80 ft deep, the time to pull out the bucket is [tex]\frac{80}{2}=40 \mathrm{~s}[/tex]
We are now ready to calculate the work done by the rope on the bucket.
Since the displacement and the force are in the same direction, we can write
[tex]W=\int_{t=0}^{t=36} F d x[/tex]
Use [tex]x=1.5 t[/tex] and [tex]F=42-0.15 t[/tex]
[tex]W=\int_{0}^{36}(42-0.15 t)(1.5 d t)[/tex]
[tex]=\int_{0}^{36} 63-0.225 t d t[/tex]
[tex]=63 \cdot 36-0.2 \cdot 36^{2}-0=3200 \mathrm{ft} \cdot \mathrm{lb}[/tex]
[tex]=\left[63 t-0.2 t^{2}\right]_{0}^{36}[/tex]
[tex]W=3200 \mathrm{ft} \cdot \mathrm{lb}[/tex]
1. Rectangles, parallelograms and kites have two sets of parallel lines.
Answer:
True
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
What is m
45’
80’
125’
135’
Answer:
it 125 I just worked it out
Challenge A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the coins, % are pennies and % are dimes. There are more nickels than pennies. How much money does the bag contain?
The bag contains $
Answer:
.
10% of 50 coins is/are 5 coins. So, 5 coins are pennies.
40% of 50 coins is/are 20 coins. So, 20 coins are dimes.
The number of nickels is (5 + 9) = 14, according to the condition.
Then quarters are the rest (50 - 5 - 20 - 14) = 11 coins.
Now you can easily calculate the total and answer the question
Total = 5*1 + 14*5 + 20*10 + 11*25 = 550 cents = $5.50. ANSWER
Step-by-step explanation:
Politics Post has published a total of 15 articles this month. If 12 of the articles are about candidates for an upcoming election, what percent of the articles are about candidates?
Answer:
80%
Step-by-step explanation:
12÷15= .8
.8=80%
..............
How many real cube roots does –343 have?
Answer:
Number (n)
Cubes (n3)
1-1
2-8
3-27
4-64
5-125
6-216
7-343
8-512
9-729
10-1000
Step-by-step explanation:
determine the intercepts of the line
x-intercept _,_
y- intercept _,_
HELP ASAP
In a game called Taxation and Evasion, a player rolls a pair of dice. If, on any turn, the sum is 7, 11, or 12, the player gets audited. Otherwise, she avoids taxes. Suppose a player takes 5 turns at rolling the dice. The probability that she does not get audited is ________.
Answer:
[tex]Probability = \frac{243}{1024}[/tex]
Step-by-step explanation:
Given
[tex]Sum = \{7, 11, 12\}[/tex]
[tex]Rolls = 5[/tex]
Required
Probability of not getting audited
If a pair of dice is rolled, the following are the observations of the sum
[tex]Outcomes = 36[/tex]
[tex]Sum\ of\ 7 = 6[/tex]
[tex]Sum\ of\ 11 = 2[/tex]
[tex]Sum\ of\ 12 = 1[/tex]
So, in a single roll; The probability of getting audited is:
[tex]p= \frac{1 + 2 + 6}{36}[/tex]
[tex]p= \frac{9}{36}[/tex]
[tex]p= \frac{1}{4}[/tex]
The probability of not getting audited in a single roll is:
[tex]q = 1 - p[/tex] --- Complement rule
[tex]q = 1 - \frac{1}{4}[/tex]
Take LCM
[tex]q = \frac{4 - 1}{4}[/tex]
[tex]q = \frac{3}{4}[/tex]
The probability of not getting audited in 5 rolls is:
[tex]Probability = q^5[/tex]
[tex]Probability = (\frac{3}{4})^5[/tex]
[tex]Probability = \frac{3^5}{4^5}[/tex]
[tex]Probability = \frac{243}{1024}[/tex]
Harry’s soccer team plays 2 nonconference games for every 3 games that they play against conference opponents. If y represents the number of nonconference games and x represents the number of conference games, which equation best models this proportional relationship?
y = two-thirds x
y = three-halves x
y = 2 x
y = 6 x
Answer:
C. y=three-halves
Step-by-step explanation:
Answer:
I'm Pretty sure the answer is y=two-thirds x
Step-by-step explanation:
I need help finding the perimeter to this shape, show your work so I can understand thanks
Step-by-step explanation:
there you go hope this helps you
System A
System B
- 3x + 12y = 15
-x+ 4y = 5
7x - 10y = -2
7x– 10y = -2
1) How can we get System B from System A?
Answer:
The answer should actually be option C, replace one equation with a multiple of itself. Then for the second question the answer is A, Yes.
Step-by-step explanation:
Did it on Kahn Academy and these were the right answers, hope this helps! ♥
Answer:
khan
Step-by-step explanation:
write an expression that is equivalent to (3+14)+27
Answer: 44
<3<3<3<3<3<3<3<3
Find two integers whose sum is 11 and product is 18
Answer:
9,2 and 2,9
Step-by-step explanation:
x+y=11
xy=18
Since they are asking for integers you can simply look through and see what integers multiply out to 18 and then check if they add up to 11. The answers for x and y are 9 and 2. but 9 can be for y as well and 2 can be for x.
How to solve it algebraically
18/y=x
x+y=11(insert 18/y for x)
18/y+y=11(factor it)
(y^2+18)/y=11(multiply both sides by y)
y^2+18=11y (subtract both sides by 11y)
y^2-11y+18=0
complete the square
y^2-11y = -18
(-11/2)^2=121/4 (add in on both sides)
y^2-11y+121/4=49/4
(y-11/2)^2=49/4 (square root both sides)
y-11/2=±7/2
y=11/2±7/2
y=9 or y=2
so
x=9 or x=2
Hope this helps :)
Please give brainliest
Help help help plz plz
Answer:2nd i think i hope this helps ! :)
Step-by-step explanation:
A vendor is thinking about changing the number of sweatshirts he brings to
an event. To make sure he doesn't run out, he plans to bring more of the size
most likely to be sold.
The table shows the number of sweatshirts of each size sold at the vendor's
last event and the number he had for sale.
Which size should he bring more of?
A. Medium
B. X-Large
C. Small
D. Large
The size he should bring more of is small and is denoted as option C.
What is Sale?This is a term which refers to the number of goods sold within a given period of time.
Given that, a vendor is thinking about changing the number of sweatshirts he brings to an event.
To make sure he doesn't run out, he plans to bring more of the size most likely to be sold.
we need to determine that which size should he bring more of,
So, here according to the table,
Small size has the smallest remaining which is 9 when the difference between the number sold and number put up for sale is calculated.
This is therefore why bringing more of small size will ensure he doesn't run out of stock in the next event as more people prefer it.
Hence, the size he should bring more of is small and is denoted as option C.
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What expression represents the volume of the cone, in
cubic units?
xx 3
O 2013
O 47x3
Answer:
A.
Step-by-step explanation:
Volume of a cone = ⅓πr²h
Where,
r = x
h = 2x
Plug in the values into the formula for volume
Volume = ⅓*π*x²*2x
Volume = ⅓*π*2x³
Volume = (1*π*2x³)/3
Volume = [tex] \frac{2\pi x^3}{3} [/tex]
[tex] \frac{2}{3}\pi x^3 [/tex]