Amount of the 70% mixture you will need to add to obtain the desired solution is 480 mL of the 70 solution.
Given that,
You need a 50% alcohol solution.
On hand, you have a 240 mL of a 10% alcohol mixture.
Amount of alcohol in hand = 10% × 240
= 24 mL
So you have 24 mL of alcohol in hand.
Let x be the amount of solution you need to obtain from the 70% alcohol mixture.
Amount of alcohol you get = 0.7x
Total amount of solution = x + 240
The ratio between them must be 50% or 0.5.
(24 + 0.7x) / (x + 240) = 0.5
(24 + 0.7x) = 0.5 (x + 240)
24 + 0.7x = 0.5x + 120
0.2x = 96
x = 480
Hence you need 480 mL of the 70 solution.
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how many 1/4 cup servings are there in 3/8 cup peanut butter?
Answer:
1.5
Step-by-step explanation:
Answer:
1.5 i think
Step-by-step explanation:
1/4:2/8 so it would be 1/4 and 1/8 or 1.5
how do you write in numerals
Answer:
Basic numbersNumbers up to nine should always be written in words, anything higher than nine can be written in numerals. Alternatively, some guides suggest that if you can write the number in two words or fewer then use words rather than number.hope it's helpful for u !! stay safe ...Step-by-step explanation:
1 : a conventional symbol that represents a number. 2 numerals plural : numbers that designate by year a school or college class and that are awarded for distinction in an extracurricular activity. Other Words from numeral Synonyms Example Sentences Learn More About numeral.A numeral is a symbol or name that stands for a number. Examples: 3, 49 and twelve are all numerals. So the number is an idea, the numeral is how we write it.hope it helps.stay safe healthy and happy...Level E: The repair department of the bicycle shop repairs three things: flat tires, bent handle bars and ripped seats. Today in the repair department, 25% of the bikes had flat tires only, 5% had bent handlebars only, and 10% had ripped seats only. Just 1/12th of the bikes had all three repairs to do: flat tires, bent handlebars and ripped seats. No bikes were completely fixed and there are a total of 101 repairs to be made. How many bikes are in the repair department? How many bikes need two repairs? If less than half of all the bikes have a ripped seat, what is the range of bikes that need both the tires and handlebars repaired without needing to fix the seat?
There are 960 bikes in the repair department and 1.98% of the bikes need two repairs.
The number of bikes with flat tires only is 0.25x, where x is the total number of bikes
The number of bikes with bent handlebars only is 0.05x
The number of bikes with ripped seats only is 0.1x
The number of bikes that need two repairs is 0.01Tx, where T is the percentage of bikes that need two repairs (expressed as a decimal)
The number of bikes that need all three repairs is 0.0833...x
So we have the equation:
0.25x + 0.05x + 0.1x + 0.01Tx + 0.0833...x = 101
Simplifying and solving for x, we get:
x = 960
So there are 960 bikes in the repair department.
To find the number of bikes that need two repairs, we can use the equation:
0.25x + 0.05x + 0.1x + 0.01Tx = 101 - 0.0833...x
Substituting x = 960, we get:
0.25(960) + 0.05(960) + 0.1(960) + 0.01T(960) = 101 - 0.0833...(960)
240 + 48 + 96 + 9.6T = 101 - 80
9.6T = 19
T = 1.98
About 1.98% of the bikes need two repairs.
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On a certain hot summer day, 606 people used the public swimming pool the daily prices are 1.50 for children and 2.00 for adults the receipts for admission totaled 1042.50 how many children and how many adults swam at the public pool that day
Answer:
rsgsadfg
Step-by-step explanation:
d dhrtyeyerte
Mathamathics for 9th
The equation of the line is y=3÷5x+4.
How to find the slope of a curve at a given point?A straight line that meets a curve only once and does not pass entirely through it is said to be tangential. The point of tangency is the intersection of the curve and the tangent. We are aware that the slope at any point on the line y=mx+cy=mx+c equals mm. The same is true for curves. When we refer to a curve's slope, we actually mean its point-to-point tangent slope.We employ the subsequent steps to calculate slope:In order to get dy/dx of an equation, we must first differentiate the provided equation.After differentiating, we will have the slope equation.To find the slope, enter the value of x into the equation.Here, we need to figure out the slope of this curve.
if two lines are perpendicular to each other and both of their slopes exist, the product of their slopes is equal to -1.
k1 = -9-6÷1-(-4)
= -5÷3
k2-k1 = -1
∴k2= 3÷5
y-1= 3÷5[x-(-5)]
y= 3÷5÷x+4
Hence, The equation of the line is y=3÷5x+4.
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What is the M.A.D. (mean absolute deviation) of the following data set?
8 9 9 7 8 6 9 8
The mean absolute deviation is 0.75
How to determine the mean absolute deviationTo calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set
From the information given, we have that the data set is;
8 9 9 7 8 6 9 8
Let's calculate the mean, we get;
Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8
Mean = 64 / 8
Divide the values
Mean = 8
Let's determine the absolute difference, we get;
Absolute differences=
|8 - 8| = 0
|9 - 8| = 1
|9 - 8| = 1
|7 - 8| = 1
|8 - 8| = 0
|6 - 8| = 2
|9 - 8| = 1
|8 - 8| = 0
Find the mean of the absolute differences:
Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8
Absolute difference = 6 / 8 = 0.75
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Identify the graph of the inequality 2(2x-1)+7< 13 or -2x+5-10.
From the resulting solution, the correct linear inequality graph is Graph C.
Solving inequality expressionGiven the inequality equation below:
2(2x-1)+7< 13 or -2x+5 ≤ -10.
Simplify the expression
2(2x-1)+7< 13
Expand
4x - 2 + 7 < 13
4x + 5 < 13
4x < 13 - 5
4x < 8
x < 2
For the inequality -2x+5 ≤ -10.
-2x+5 ≤ -10
-2x ≤ -15
x ≥ 7.5
Hence the solution to the given system of inequalities are x < 2 and x ≥ 7.5
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I don't need help but I am giving the answer to everyone :) hope it helps
The number of cannonballs in illustration is 506.
What is illustration?Math Illustrations enables you to produce more useful geometry figures for your students in less time by fusing the constraint-based design of Geometry Expressions with simple-to-use sketching and graphing features.
The number of cannonballs in the first layer = 1² = 1
Number of cannonballs in the second layer = 2² = 4
Number of cannonballs in the third layer = 3² = 9
So, the generalized formula to count the balls is given as
= n(n + 1) (2n + 1)/ 6
Here, n= the total number of layers
Put n =11
11(11 + 1)(2(11) + 1) / 6
= 11(12)(23)/6
= 3036/6
= 506
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One model of cars comes with 4 choices
of audio systems, 2 choices of roof
styles (with or without moon roof), and
3 choices of seat covers (cloth, vinyl, or
leather). How many different car
ala
models does a customer have to choose
from if the customer can choose one
10
type of audio system, one style of roof,
and one type of seat cover
A customer has 4 x 2 x 3 = 24 different car models to choose from if the customer can choose one type of audio system, one style of roof, and one type of seat cover.
Find the measure of each angle in the problem. TO contains point H.
Answer:
The angles are 45 and 135
Step-by-step explanation:
The two angles form a straight line, which is 180 degrees
c+ 3c = 180
4c = 180
Divide by 4
4c/4 =180/4
c = 45
3c = 3(45) = 135
The angles are 45 and 135
Answer:
45 and 135 ...
what's 2x + 54. Just lmk whenever
Answer:
It's 27
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
In Table 2, at this rate, how much would it cost to buy 9 books?
Answer:
There is no table attached, if you attach is I will gladly help :)
Step-by-step explanation:
can u pls help me with this question
Answer:
A is correct
Step-by-step explanation:
Answer:
it's A -2/9
Step-by-step explanation:
it's A
it's A
help pls asap math problem
Answer:
PHOTO MATH KANALANG
Step-by-step explanation:
BAKA MERON ANS DON
Which expression is equivalent to 3x2+(5x−8x2)+4−(5x+2)
Answer: -5x^2 + 2
Step-by-step explanation:
Help please!! I’ll give brainliest if you show work as well. Thank you!!!
Answer:
TWO CRACKERS
Step-by-step explanation:
I'm assuming they want to find x. Here we see that these two are similar triangles, so the sides are reflective. 5x/5 should be equal to 4/x, so 5x/5 = 4/x. If we use cross multiplying we get 5x^2 = 20. divide both sides by 5 and we get x^2 = 4 or x = 2.
Hope this helped
Can someone help me I will make u brilliant
Answer: R'=(6, -2)
S=(-6,9) ==> S'=(6, -9)
T=(-5,9) ==> T'=(5, -9)
U=(-5,2) ==> U'=(5, -2)
Step-by-step explanation:
When rotated around the origin by 180 degrees, the rectangle will have all its coordinates' x and y values negated.
R=(-6, 2) ==> R'=(6, -2)
S=(-6,9) ==> S'=(6, -9)
T=(-5,9) ==> T'=(5, -9)
U=(-5,2) ==> U'=(5, -2)
What is the rental cost? Step by step.
The rental cost in dollars per square foot is $11,00
What is the rental cost in dollars per square foot?Cost of renting 1.250 square feet = $13, 750 per month
Rental cost per square foot = Total renting cost / total renting area
= $13, 750 per month / 1.250 square feet
= $11,000
Hence, $11,000 is the rental cost in dollars per square foot.
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How much would you need to deposit in an account now in order to have $2000 in the account in 5 years? Assume the account earns 5% interest compounded monthly.
I need to deposit $1558.41 to have $2000 in the account in 5 years.
What is compound interest?
The interest charged on a debt or deposit is known as compound interest. It is the idea that we use the most regularly. Compound interest is calculated for a sum based on both the principal and cumulative interest.
∴ Compound interest = P(1 + \(\frac{r}{100*12}\))ⁿ (∵ for monthly interest)
P = Principal
r = rate of interest per month
n = number of months
Given:
r = 5% per month
n = 5 years = 5*12 = 60 months
CI = P (1+5/(12 * 100))⁶⁰
2000 = P(1.0041)⁶⁰
2000 = P(1.2834)
P = 1558.41
Therefore, the amount required to deposit is 1558.41 dollars to get 2000 dollars after 5 years with 5 percent interest per month.
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20. Sketch the level curve of the function f(x, y) that contains the point (5,0).
f(x, y) is shown in the picture attached.
At the given point,
\(f(5,0) = \dfrac1{\sqrt{5^2 + 0^2 - 9}} = \dfrac1{\sqrt{16}} = \dfrac14\)
Then the level curve is
\(\dfrac1{\sqrt{x^2 + y^2 - 9}} = \dfrac14 \\\\ \implies \sqrt{x^2 + y^2 - 9} = 4 \\\\ \implies x^2 + y^2 - 9 = 4^2 \\\\ \implies x^2 + y^2 = 25 = 5^2\)
which is a circle centered at the origin with radius 5 - quite easy to sketch.
Andrew brings juice for lunch every 5 days and Hannah brings juice every 7 days they both brought juice today . How many day will it be before they both bring juice ?
Answer:
35 days
Step-by-step explanation:
Andrew brings juice for lunch every 5 days and Hannah brings juice every 7 days
Find the lowest common multiple of 5 and 7
Andrew (every 5 days) = 10, 15, 20, 25, 30, 35, 40, 45, 50
Hannah (every 7 days) = 14, 21, 28, 35, 42, 49, 56
The lowest common multiple of 5 and 7 is 35
Therefore, if Andrew and Hannah both brought juice today, it will take 35 days before they will both bring food again on the same day.
What is the first term of the geometric sequence below?
__4, 8, 16, 32, ...
A. 2
B. 0
D. 1
Answer:
A. 2
Step-by-step explanation:
The common ratio between the terms listed is 2. Each term is being multiplied by 2, so to find the first term, you have to divide the first term listed by 2.
4/2 = 2
Answer:
2
Step-by-step explanation:
The common ratio is
8/4 = 2
Take the second term and divide by the common ratio to get the first term
Take 4 /2 = 2
The first term is 2
The graph and table each show a proportional relationship between the number of miles traveled and the
advertised number of gallons of gas used for the two car models, A and B, respectively. Based on the
graph and table, car A can travel how many times the distance car B can travel when both cars use
1 gallon of gas? Write your answer as a decimal.
Enter your answer in the box
1.25
To answer this question, we need to compare the ratios of miles traveled to gallons of gas used for car A and car B when they both use 1 gallon of gas.
For car A, we can see from the graph that 50 miles are traveled for every 2 gallons of gas used, or in other words, 25 miles are traveled for every 1 gallon of gas used. Therefore, car A can travel 25 times the distance for 1 gallon of gas.
For car B, we can see from the table that 40 miles are traveled for every 2 gallons of gas used, or in other words, 20 miles are traveled for every 1 gallon of gas used. Therefore, car B can travel 20 times the distance for 1 gallon of gas.
To compare the two ratios, we can divide the ratio of miles traveled to gallons of gas used for car A by the ratio for car B:
25/20 = 1.25
Therefore, car A can travel 1.25 times the distance car B can travel when both cars use 1 gallon of gas.
What is the answer of
(-8)^0 - 11^0/(-2/3)^0
Answer:
The answer is 0
(-8)^0 - 11^0/(-2/3)^0 = 0
Step-by-step explanation:
We note that anything to the power of 0 is 1,
or,
\(a^0 =1\\\)
Hence,
\((-8)^0=1\\11^0=1\\(-2/3)^0=1\)
Putting these values in the problem, we get,
1 - (1)/(1)
1-1
= 0
so,
(-8)^0 - 11^0/(-2/3)^0 = 1 - 1 = 0
The answer is:
0Work/explanation:
Using the exponent law:
\(\bullet\qquad\sf{x^0=1}\)
So any number raised to the power of 0 is equal to 1.
Now, let's apply the property to this problem.
\(\sf{(-8)^0=1}\)
\(\sf{1-11^0/(-2/3)^0}\)
\(\sf{1-1/1}\)
\(\sf{1-1}\)
\(\bf{0}\)
Therefore, the answer is 0.
What is the variable b equal to?
Answer:
x=-b-\(\frac{\sqrt{bx^{2} +100a}}{2a}\)
x=-b+\(\frac{\sqrt{bx^{2} +100a}}{2a}\)
Step-by-step explanation:
Los dueños de un restaurante exitoso quieren un préstamo de $50,000 para renovar la cocina y ampliar el comedor. Esperan que las mesas extra agreguen entre $2,000 y $5,000 a los ingresos mensuales del restaurante. El banco está dispuesto a permitir que la empresa tenga un préstamo a plazo intermedio de $50 000 durante cinco años a una tasa de interés del 6,5 por ciento. Calcule el pago mensual y explique si tomar este préstamo es una decisión comercial inteligente.
The monthly Payment for the loan is approximately $271.24.
To calculate the monthly payment for the loan, we can use the formula for calculating the monthly payment on an intermediate-term loan. The formula is:
Monthly Payment = (Loan Amount * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))
Given:
Loan Amount = $50,000
Interest Rate = 6.5% per year
Number of Years = 5
First, we need to convert the annual interest rate to a monthly interest rate. Since there are 12 months in a year, the monthly interest rate is:
Monthly Interest Rate = (6.5% / 100) / 12 = 0.00541667
Plugging in the values into the formula, we get:
Monthly Payment = ($50,000 * 0.00541667) / (1 - (1 + 0.00541667)^(-5 * 12))
= $271.24
Therefore, the monthly payment for the loan is approximately $271.24.
The owners of the restaurant want to use the loan to renovate the kitchen and expand the dining room, which they expect will generate additional monthly revenue between $2,000 and $5,000.
If we assume a conservative estimate of $2,000 per month in additional revenue, the loan payment of $271.24 represents approximately 13.56% of the additional revenue. This means that the owners would still have a significant portion of the additional revenue available for other expenses or profit.
On the other hand, if we consider the higher estimate of $5,000 per month in additional revenue, the loan payment would represent only about 5.42% of the additional revenue, leaving a substantial amount of money for other purposes.
Considering these calculations, it appears that taking this loan is a smart business decision. The monthly payment is manageable and leaves a significant portion of the additional revenue for the restaurant's operation and potential profit. However, it is essential for the owners to ensure that the projected additional revenue is realistic and sustainable to cover the loan payment and other business expenses.
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Which linear function has the same y-intercept as the one that is represented by the graph?
On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is lab
eled y with entries negative 26, negative 14, 34, 46.
The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).
First, let's find the slope of the line using the formula:
slope (m) = (change in y) / (change in x)
m = (0 - 4) / (5 - 3)
m = -4 / 2
m = -2
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (3, 4) as our reference point, we have:
y - 4 = -2(x - 3)
Expanding the equation:
y - 4 = -2x + 6
Simplifying:
y = -2x + 10
Now, let's check the given options to find the linear function with the same y-intercept:
Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)
The y-intercept is the same as the given line (10). So, this option is correct.
Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)
The y-intercept is not the same as the given line. So, this option is not correct.
Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
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10,000 is a what of 10 because 10 x 10 x 10= 10,000
Answer:
correct
Step-by-step explanation:
it it is 10,000 because 10 * 10 * 10 = 10,000 but if it really wasn't that another way you could do it is I believe so 10 times three no cuz that's actually 30 10 times 20 or something but yeah correct
Translate 2 3 y − 9 < y + 1 into a sentence. Nine than two-thirds of number is less than the number .
The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."
To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:
"2/3y" represents two-thirds of a number.
"9" represents the number nine.
"y + 1" represents the number increased by one.
Now let's construct the sentence:
"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.
"is less than" - This is the comparison symbol in the inequality.
"the number" - This refers to the expression "y + 1," representing the number increased by one.
Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."
Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."
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True or False: The equation x = x2u + x3v, with x2 and x3 free (and neither u or v a multiple of the other), describes a plane through the origin
False. The equation \(x = x2u + x3v\) describes a line through the origin, not a plane.
The equation \(x = x2u + x3v\) describes a line through the origin, not a plane. This equation can be written as \(x = x2u + x3v\), which is the same as \(ux2 + vx3 - x = 0\). This equation is in the form of \(ax + by + cz = d\), with a = u, b = v, c = -1, and d = 0. Since the coefficients of \(x2, x3\), and x are all non-zero, we can conclude that this equation describes a line, not a plane. To confirm, we can calculate the direction vector for the line. The direction vector is (u, v, -1), which is a single vector and not two or more vectors that would be necessary to describe a plane.
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