You need a 55% alcohol solution. On hand, you have a 50 mL of a 25% alcohol mixture. You also have 60% alcohol mixture. How much of the 60% mixture will you need to add to obtain the desired solution?
Answer:
300 mL
Step-by-step explanation:
There is a simple diagrammatic way to solve mixture problems, illustrated in the attachment. In the left column are the available solution percentages. In the center is the percentage of the desired mix. In the column to the right of that are the diagonal differences between the desired value and the constituent values. Those differences represent the proportions of the constituents on the same horizontal line.
__
Here, that means 30 parts of 60% solution are needed for 5 parts of 25% solution. Since we have 50 mL of 25% solution, we can multiply these ratio values by 10 mL to find the quantities needed. That has been done here in the right-most column.
300 mL of 60% solution are needed to obtain the desired mixture.
__
Additional comment
If you want to write an equation, you can let x represent the quantity of high-concentration solution needed. Then the amount of alcohol in the mix is ...
0.60x +0.25(50) = 0.55(x +50)
0.05x = 0.30(50) . . . . . . . subtract 0.55x+0.25(50)
x = 300 . . . . . . . . . . . . mL of 60% solution needed
The ceiling of Stacy's living room is a square that is 22 ft long on each side. Stacy knows the diagonal of the ceiling from corner to corner must be longer than 22 ft, but she doesn't know how long it is.
Solve for the length of the diagonal of Stacy's ceiling in two ways:
(a) Using the Pythagorean Theorem.
(b) Using trigonometry.
Round each answer to the nearest whole number and make sure to show all your work. (Hint: the answers should be the same!)
Answer:
I don't understand trig very well but I do get pythagorean theorem, which I can help with. Your final answer will end up being 31.
Step-by-step explanation:
First off the formula for pythagorean theorem is a^2 + b^2 = c^2
We know that C stands for the hypotenuse so we want to know what C is.
A and B are both 22 so our equation turns into 22^2 + 22^2 = c^2
22 squared is 484 which leads to 484 + 484 = c^2
484 + 484 = 968
968 is our C^2 but we still need to find the square root
The square root of 968 is 31.11269837... and a whole lot of other numbers
You round that out to 31 and get the length of your diagonal
NO LINKS!!
Determine if each statement is always, sometimes, or never true
Answer:
sometimessometimesalwaysStep-by-step explanation:
These questions can be answered by reference to the formulas for the volume of a cone, cylinder, and sphere.
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ConeV = 1/3πr²h . . . volume depends on height as well as radius
Cones with the same radius will sometimes have the same volume. (When they have the same height.)
__
CylinderV = πr²h . . . volume depends on height as well as radius
Cylinders with the same radius will sometimes have the same volume. (When they have the same height.)
__
SphereV = 4/3πr³ . . . volume depends only on radius
Spheres with the same radius will always have the same volume.
Lets note the formulas first to make clear.
For cone
V=1/3πr²hFor cylinder
V=πr²hFor sphere
V=4/3πr³We can see
for first two
the volume depends upon the height hence if they have same radius then their volume may or may not be sameFor sphere
volume depends upon radius so if radius is same the volume is sameNine of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 are to be put in two groups so that the sum of the numbers in each group is a multiple of four.
What is the largest number that could be left out?
Answer:
13,62,75,48,1092
Step-by-step explanation:
1+3=4, 6+2=8, 7+5=12, 4+8=12& 1+0+9+2=12.
use this dataset for the next three questions: 5, 10, 12, 4, 6, 11, 13, 5 1. Calculate the mean. 2 Ultimate Medical Academy.
calculate the mean
Answer:
11.8
Step-by-step explanation:
5 + 10 + 12 + 4 + 6 + 11 + 13 + 51= 118
The average (mean) is equal to the sum of all the data values divided by the count of values in the data set.
Count = 10
Sum = 118
Average = Sum / Count
118/10= 11.8
A pizza dough recipe has a ratio of 5 cups of flour to 2 cups of water. There are ?
cups of flour per cup of water
Answer:
2.5 cups of flour per cup of water.
Step-by-step explanation:
We can divide the entire recipe by two, to get the amount of flour to 1 cup of water.
5/2 = 2.5
2/2 = 1
Therefore, 2.5 cups of flour needs 1 cup of water.
Answer:
There are 2.5 cups of flour per cup of water
Step-by-step explanation:
Step 1: Find the ration
Cups of Flour : Cups of Water
5 : 2
2.5 : 1
Answer: There are 2.5 cups of flour per cup of water
If x is 6 and y is -2 what’s the value of yx
Answer:
-12
Step-by-step explanation:
(6)(-2)= -12
6 multiply -2 equals 12.
Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving the plane region about the y-axis.
y = 3 − x
The volume of the solid generated by revolving the plane region y=3−x about the y-axis is 9π cubic units.
What is integration?It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
We have a function:
y = 3 - x
From the graph:
Shell radius = y
Height = 3 - y
From the shell method, we can write the integral as follows:
[tex]\rm Volume =2\pi\int\limits^0_{-3} {y(3-y)} \, dy[/tex]
[tex]\rm Volume =2\pi\int\limits^0_{-3} {(3y-y^2)} \, dy[/tex]
After solving the above definite integral, we will get volume:
Volume = 9π cubic units
Thus, the volume of the solid generated by revolving the plane region y=3−x about the y-axis is 9π cubic units.
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Find the distance between the points (7,14) and (18,5).
Answer:
Exact distance = [tex]\sqrt{202}[/tex]
Approximate distance = 14.2127
==========================================================
Work Shown:
[tex](x_1,y_1) = (7,14) \text{ and } (x_2, y_2) = (18,5)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(7-18)^2 + (14-5)^2}\\\\d = \sqrt{(-11)^2 + (9)^2}\\\\d = \sqrt{121 + 81}\\\\d = \sqrt{202}\\\\d \approx 14.2127\\\\[/tex]
Note: I used the distance formula. Though you could plot the points, form a right triangle, and use the pythagorean theorem as an alternative route. The distance formula is effectively a modified version of the pythagorean theorem.
What is the volume of this object?
__u3
Answer:
15u³
Step-by-step explanation:
To find volume ↓
Volume
= length × width × height
= 2u × 2½u × 3u
= 15u³
Hope this helps =)
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
use sine or cosine rule
Step-by-step explanation:
that's the answer by using the sine rule
Answer:
Step-by-step explanation:
You pick a card at random.
1 2 3 4
567
What is P(not even)?
Write your answer as a fraction or whole number.
Answer:
p7
Step-by-step explanation:
If it includes 4 then 0.8, if not then 0.6.
The cost of gas increases monthly at a rate of 3.2%. If gas cost $1.75 today. How much will it cost in 3 years? ( round to the nearest cent (2 decimal places) )
Answer:
$1.92
Step-by-step explanation:
present cost = $1.75
time = 3 years
rate = 3.2%
cost after three years = present cost (1 +[tex]\frac{R}{100}[/tex] )^3
=$1.75 ([tex]\frac{103.2}{100}[/tex])^3
=$1.75*1.099
=$1.92
Threrefore , after 3 years cost of gas will be $1.92.
NEED THIS ASAP
Which statement describes (²) ?
n=1
The series diverges because it has a sum of 1.
O The series converges because it has a sum of 1.
O The series converges because it has a sum of 4.
The series diverges because it does not have a sum.
Answer:
option b
please mark me as brainliest
Answer: the series converges because it has a sum of 1 (b)
Step-by-step explanation:
bec i said so
Let Vector f = LeftAngleBracket 4, 3, 7 RightAngleBracket. and Vector g = LeftAngleBracket negative 1, 0, 2 RightAngleBracket. . Which graph shows Vector f + vector g. ?
Vectors simply means a quantity that has both magnitude and direction but not position e.g acceleration.
What is a vector?Your information is incomplete as the graphs aren't given. Therefore, an overview of vectors will be given.
In this case, vectors simply means a quantity that has both magnitude and direction but not position e.g acceleration, velocity, etc.
A vector can also be an element of the vector space. The direction is typically equal to the angle formed with the x-axis.
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Which graph represents the function f(x) = 1/3|x|?
Answer:
The answer is D.
Step-by-step explanation:
Please use cofunction or even odd identities to solve this problem!
50 points !
Answer:
cot(θ) = -1.45
Step-by-step explanation:
The identity applicable to this problem is ...
tan(π/2 -θ) = cot(θ)
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Substituting for tan(π/2 -θ), you have the desired cotangent value:
cot(θ) = -1.45
help me pwesssssssssss
Answer:
858 Remainder 4
Step-by-step explanation:
3 Select the correct answer. How can you write the expression 7(b – 2) in words? A. two subtracted from the quotient of seven divided by b B. seven added to difference of b minus two C. the quotient of seven divided by b minus two D. two subtracted from seven times b E. the product of seven and the difference of b minus two
Answer:
option E is correct.
Step-by-step explanation:
from the options, the correct answer is:
the product of seven and the difference of b minus two.
HOPE THIS HELPSPLEASE RATE AND MARK BRIANLIEST!!!Question 7 of 10
How many different roots does the polynomial function, y = (x - 2)(+3)
have?
O A. 4
B. 3
O c. 2
O
D. 1
SUBMIT
c. 2
you should just get an app on ur phone its easier than asking here
Two different roots the given polynomial function have. Therefore, option C is the correct answer.
What is the solution of a quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
The given equation is y=(x-2)(x+3)
The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x.
Here, (x-2)(x+3)=0
(x-2)=0 and (x+3)=0
x=2 and x=-3
Therefore, option C is the correct answer.
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"Your question is incomplete, probably the complete question/missing part is:"
How many different roots does the polynomial function, y = (x - 2)(x+3)?
A. 4
B. 3
C. 2
D. 1
I don't know the answer ccuh
Answer:
minor arc
Step-by-step explanation:
This is a vocabulary question:
major arc: has a measure more than 180°minor arc: has a measure less than 180°semicircle: has a measure of exactly 180° (connects the ends of a diameter)__
Arc EA is a minor arc.
_____
Additional comment
In general, unless the two named points are the ends of a diameter, the arc is a minor arc. A major arc will generally be defined by designating a third point on the long arc connecting the same points on the circumference. For example, EDA, ECA, and EBA all designate the major arc connecting points E and A. (We can also use the descriptor, "major arc EA.") Without any of these extras designating the major arc, EA is considered to be the minor arc.
Question 13
You deposit $8,400 in an account earning 3.6% interest compounded monthly.
a. How much will you have in the account in 20 years?
b. How much interest will you earn?
Answer:
A = $17,238.65
I (interest) = $8,838.65
Step-by-step explanation:
Using the formula A = P(1 + r/n)^nt
A = $17,238.65
A = P + I where
P (principal) = $8,400.00
I (interest) = $8,838.65
First, convert R as a percent to r as a decimal
r = R/100
r = 3.6/100
r = 0.036 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 8,400.00(1 + 0.036/12)^(12)(20)
A = 8,400.00(1 + 0.003)^(240)
A = $17,238.65
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $8,400.00 at a rate of 3.6% per year compounded 12 times per year over 20 years is $17,238.65
a food server at harpers restaurant earns 5 dollars plus a 15% tip on the money made on each table he serves. Sam worked as a food server for six hours last friday and his tables earned $600. How much money did Sam make that day?
Answer:
The answer is given in the picture
Step-by-step explanation:
Do you remember me calista
I am alvena
Answer:
$70
Step-by-step explanation:
$5 x 6 hours = $30
$600 ÷ 15% = $40
$30 + $40 = $70
what is the simplest form of 2/3 - 1/4 =
Answer:
I got 5/12
Step-by-step explanation:
Hope this helped
ANSWER
The answer will be
Step-by-step explanation:
5/2=0•416666667
PLEASE HELP!!!!!
Abigail is studying for the school spelling bee. She already knows 204 words from the vocabulary list. Each day, she learns
24 additional words from the vocabulary list.
Which equation can be used to determine the total
number of words Abigail knows from the vocabulary list, y, over x days?
• A. y=24-204
•b y=24+204
• y=24(x+204)
Answer:
I think that it is y=24(x+204)
Skylar wanted to show the proportional relationship between the dollar value of the original investment, x, and its value after a 10% decrease, y. He creates the table of values shown. Does it model the relationship? Explain. Then, provide a correct equation for the relationship Skylar wants to model.
After checking the information of the table, it is to notice that the table fulfills the behavior of a direct relationship described by the linear equation y = 0.9 · x. #SPJ1
How to analyze a relationship between the two variablesLet be x and y the original investment and the value after applying the change, both in monetary units. A direct relationship is observed by following this model:
y = (1 + r/100) · x (1)
Where r is change rate, in percentual units.
After checking the information of the table, it is to notice that the table fulfills the behavior of a direct relationship described by the linear equation y = 0.9 · x. #SPJ1
RemarkThe table of the change in investment with respect to initial investment is missing and is now introduced below:
(x₁, y₁) = (75, 7.5), (x₂, y₂) = (100, 10), (x₃, y₃) = (200, 20), (x₄, y₄) = (300, 30), (x₅, y₅) = (400, 40)
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Which expression shows 48 + 36 written as a product of two factors
Answer:
12(4+3)
Step-by-step explanation:
f(x) = 2x + 3 and g(x) = 24 – X.
Solve the equation f(x) = g(14).
Answer:
x = 3.5
Step-by-step explanation:
f(x) = 2x + 3
g(x) = 24 – x
-> g(14) = 24 - 14
-> g(14) = 10
f(x) = g(14) (Given)
-> 2x + 3 = 10
-> 2x = 10 - 3
-> 2x = 7
-> x = 7/2
-> x = 3.5
Find the area of the figure.
(50 POINTS On Last post)
Answer:
173,056,00
Step-by-step explanation:
The fox population in a certain region has an annual growth rate of 5 percent per year. It is estimated that
the population in the year 2000 was 28400.
(a) Find a function that models the population t years after 2000 (t = 0 for 2000).
Your answer is P(t)
=
(b) Use the function from part (a) to estimate the fox population in the year 2008.
Your answer is (the answer should be an integer)
Answer:
See below
Step-by-step explanation:
population = 28400* ( 1+.05)^t t = years past 2000
8 years from 2000 pop = 28400(1.05)^8= 41 960 foxes