2400mL is the amount of 60%acid solution to mix.
Let the amount of acid be mixed be x.
From the question, we get an equation that,
60%x + 35% × 600/ x + 600 = 55%
(Here x ≠ -600, as the denominator can never be 0.)
60%× x + 35% ×600 = 55%(x + 600)
Now we have to find the value of x to know the amount of acid that is mixed in a solution.
0.60x + 0.35 × 600 = 0.55(x+600)
0.60x + 210 = 0.55 + 330
0.05x = 120
x = 120/0.05
= 2400
Therefore we get an amount of acid to be mixed is 2400mL.
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A group of 50 students were asked about their favorite color. Here are the results:
Red: 15 Blue: 11 Purple: 7 Yellow: 8 Pink: 6 Green: 3
Which of the following visual displays is most appropriate for this data?
Box plot
Histogram
Stem plot
Dot plot
Pie Chart
A company has 14 offices that need new carpeting. Each office
measures 22 feet by 17 feet. How much carpeting does the
company need?
Find the Degree measure of each interior angle of the quadrilateral JKLM.
the sum of all interior angles in a polygon is
180(n - 2) n = number of sides in the polygonso this one has 4 sides, so the sum of all those angles is 180(4 - 2) = 360, thus
[tex]10y+10y+9y+y~~ = ~~360\implies 30y=360\implies y=\cfrac{360}{30}\implies \boxed{y=12} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\measuredangle J}{10(12)\implies 120}~\hfill \stackrel{\measuredangle K}{12}~\hfill \stackrel{\measuredangle L}{9(12)\implies 108}~\hfill \stackrel{\measuredangle M}{10(12)\implies 120}[/tex]
tomas makes balloon sculptures at6 a circus im 180 minutes he uses 252 balloons to make 36 identical sculptures what is tomam's unit rate for balloons per minute
By taking a quotient, we can see that while he works, he uses 1.4 ballons per minute to make scultures, so the unit rate is 1.4 balloons/minute.
What is Tomas' unit rate for balloons per minute?
The unit rate refers to the quotient between two quantities, if we want to find the rate for ballons per minute, we need to take the quotient between the number of ballons that he uses and the total time in which he does that. The unit rate will tell us how many ballons he uses per minute
Here we know that he uses a total of 252 balloons, and he does that in a total time of 180 minutes, then the unit rate is just the quotient:
R = (252 ballons)/( 180 min)= 1.4 ballons/minute
This means that while he works, he uses 1.4 balloons per minute to make sculptures, so the unit rate is 1.4 balloons/minute.
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d
A
In the diagram above, the "d" represents the:
a. diagram
b. diameter
c. radius
d. arc
Exit
Submit
Answer:
diameter
Step-by-step explanation:
The chord of a circle that passes through the center is the diameter.
the ratio of 25cm to 3m
what is the ratio
First change m to cm
1m = 100cm
3m = 300cm
25cm to 300cm
1cm to 12cm
What is the answer to this problem ?
Answer: H=8
Step-by-step explanation:
Because if H times H equals A, and A is 56 you have to divide 7 by 56 and then you get 8 for the variable H.
1. What Can You Say About The Sign Of Two Numbers If Their Product Is Positive?
2. What Can You Say About The Sign Of Two Numbers Is Their Quotient Negative?
3. If You Have The Product Of Four Number One is Positive And Three Are Negative, What Will The Sign Of The Product Be?
all them correct right
An open box is made from a 40-cm by 60-cm piece of tin
by cutting a square from each corner and folding up the
edges. The area of the resulting base is 2204 cm². What
is the length of the sides of the squares?
The length of the side of the square cut from the box is 7 cm.
What is defined as the rectangle?A rectangle is a kind of of quadrilateral, a two-dimensional shape with four sides as well as four vertices. The rectangle's four angles are all right angles as well as equal to 90 degrees.It has two parallel pairs of sides and 4 right angles. A rectangle is also meant to refer to as an equiangular quadrilateral. This is due to the fact that a rectangle is indeed a quadrilateral (4-sided shape) with parallel sides that are equal to one another and all four corners.For the given question;
The dimension of the box is;
Length = 60 cm.
Breadth = 40 cm.
Then the area of the base of the rectangular box before cutting is;
Area = length×breadth
Area = 60 × 40
Area = 2400 cm².
Let the side of the square cut be 'x'
Then the area of one square is x².
As, square is being cut from each corner, thus the total area will be; 4x².
The area of resulting base after square is cut is 2204 cm².
Thus, the area of cut square = old area - resulting area
Area cut = 2400 - 2204
Area cut = 196
Thus, Area cut = total area of 4 square.
Area cut = 4x²
4x² = 196
On solving;
x = 7.
Thus, the length of each square cut from the rectangle is 7 cm.
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15. Use what you know about scientific notation to write the number -80,000 with a power of 10.
Answer:345600000000
Step-by-step explanation:
The proper format for scientific notation is a x 10^b where a is a number or decimal number such that the absolute value of a is greater than or equal to one and less than ten or, 1 ≤ |a| < 10. b is the power of 10 required so that the scientific notation is mathematically equivalent to the original number.
Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.
Count how many places you moved the decimal point. This number is b.
If you moved the decimal to the left b is positive.
If you moved the decimal to the right b is negative.
If you did not need to move the decimal b = 0.
Write your scientific notation number as a x 10^b and read it as "a times 10 to the power of b."
Remove trailing 0's only if they were originally to the left of the decimal point.
Example: Convert 357,096 to Scientific Notation
Move the decimal 5 places to the left to get 3.57096
a = 3.57096
We moved the decimal to the left so b is positive
b = 5
The number 357,096 converted to scientific notation is 3.57096 x 10^5
What is the answer for this question
The true statement about the minimum or maximum value of the given function is that: A. the function has a maximum value of 1.
What is a function?A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for mapping an input variable to an output variable.
What is the maximum?The maximum value of a function can be defined as a point on the graph where the function reaches its highest point. This ultimately implies that, the maximum value of a function refers to its vertex on a graph.
In conclusion, the true statement about the minimum or maximum value of the given function is that the function has a maximum value of 1.
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Complete Question:
Which is the minimum or maximum value of the given function?
A. The function has a maximum value of 1.
B. The function has a minimum value of 1.
C. The function has a maximum value of -2.
D. The function has a minimum value of -2.
In a symmetric, unimodal distribution, about two-thirds of the observations are where?
Choose the correct answer below.
point(s) possible
O A. Within one standard deviation of the mean
OB. More than one standard deviation from the mean
O C. Within three standard deviations of the mean
O D. Within two standard deviations of the mean
In a symmetric, unimodal distribution, about two-thirds of the observations are within one standard deviation of the mean. Option A is correct.
GIven that,
To determine the appropriate options that complete the statement "In a symmetric, unimodal distribution, about two-thirds of the observations are where".
The statistic is the study of mathematics that deal with relations between comprehensive data.
Here,
From the definition of symmetric and unimodal distribution,
At least one standard deviation of the mean is two-thirds of the observation.
Thus, In a symmetric, unimodal distribution, about two-thirds of the observations are within one standard deviation of the mean. Option A is correct.
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38) State the slope of a line parallel to 3x - 5y = 25
Answer: y= 3/5x-5
slope is 3/5
Step-by-step explanation:
Step-by-step explanation: I hope this helps.
Answer:
What is £105.035 rounded to the nearest whole penny?
Answer:
£105.04
Step-by-step explanation:
To round an amount to the nearest cent, check the value of its thousandths. If the value is equal to 5 or greater, increase the value in the cent’s place by 1 and then remove all digits to the right after the second decimal place. If the value is equal to 4 or less, simply remove all the digits to the right after the second decimal place. For example with £105.035 the thousandths’ value is 5, so we round up: £105.035 --> £105.04
A borrower has two alternatives for a loan: (a) issue a $480,000, 60-day, 8% note or (b) issue a $480,000, 60-day note that the creditor discounts at 8%. (Assume a 360-day year is used for interest calculations.)
1) The determination of the amount of the interest expense in each alternative is as follows:
Alternative A: $6,400
Alternative B: $6,356.82
2) The determination of the proceeds received by the borrower in each alternative, based on their present values, is as follows:
Alternative A: $480,000
Alternative B: $473,643.18
Data and Calculations:Alternative A Alternative B
Note Payable $480,000 $480,000
Maturity period 60 days 60 days
Interest /Discount rate 8% 8%
Calendar Year = 360 days
The amount received $480,000 $473,643.18 (PV)
Interest paid $6,400 $6,356.82
Alternative A:Interest = $6,400 ($480,000 x 8% x 60/360)
Present Value for Alternative B:N (# of periods) = 60 days
I/Y (Interest per year) = 8%
PMT (Periodic Payment) = $0
FV (Future Value) = $480,000
Results:
PV = $473,643.18
Total Interest $6,356.82
Thus, the borrower received $480,000 using alternative A and $473,643.18 with alternative B based on the present value of the future cash flow.
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Question Completion:1) Determine the amount of the interest expense in each alternative.
2) Determine the proceeds received by the borrower in each alternative.
Point I is on line segment HJ. Given HI = x, HJ = 3x - 9, and
IJ = x + 5, determine the numerical length of HJ.
Answer: HJ =
The numerical length of HJ is 33
The given parameters;
distance of HI = x
distance of HJ = 3x - 9
distance of IJ = x + 5
To find:
the numerical length of HJ
A sketch of the positions of the line segments is shown below;
|<-----x------->|<--------------------------x+5------------------------------>|
H---------------I----------------------------------------------------------------J
The value of x will be calculated by setting up the following equation;
HI + IJ = HJ
x + x + 5 = 3x - 9
2x + 5 = 3x - 9
collect similar terms together;
2x - 3x = -9-5
-x = -14
x = 14
The numerical length of HJ is calculated as;
HJ = 3(14) - 9
HJ = 42 - 9
HJ = 33
Thus, the numerical length of HJ is 33
A line segment is a section of a line with two ends and a fixed length. It differs from a line that has no beginning or end point and can be stretched in both directions.
The length of a number in base is the number of digits in the base-number for, as determined by the formula. The multiplicative persistence of an. digit is also known as its length.
A line segment in geometry is defined as two different points on a line. A line segment is a section of a line that links two points. A line has no endpoints and stretches in both directions indefinitely, but a line segment has two fixed or definite endpoints.
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Rewrite one sixth times x cubed times y plus five sixths times x times y squared using a common factor.
one third times x times y times the quantity x squared plus 5 times y end quantity
one third times x times y times the quantity 3 times x squared plus 15 times y end quantity
one sixth times x times y times the quantity x squared plus 5 times y end quantity
one sixth times x cubed times y squared times the quantity y plus 5 times x end quantity
The final expression after using a common factor is:
Option C - one-sixth times x times y times the quantity x squared plus 5 times y end quantity
i.e (1/6)xy ( x² + 5y )
What is an expression?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
We have,
one-sixth times x cubed times y plus five-sixths times x times y squared.
This can be written as:
(1/6)x³y + (5/6)xy²
Taking out (1/6)xy as the common factor.
(1/6)xy ( x² + 5y )
Thus the expression after using a common factor is:
one-sixth times x times y times the quantity x squared plus 5 times y end quantity
i.e (1/6)xy ( x² + 5y )
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Answer:
Option c it's obvious
Step-by-step explanation:
us using the point slope formula why negative y1 = m x - X1 find the equation of the line whose slope is 3 and that passes through the point negative 912 write the equation is slope intercept form
The equation of line in the slope intercept form is; y = 3x - 45.
What is the definition of the point slope intercept form?The point slope shape is used to compute the equation of a straight line a inclined to the x-axis at a specific angle and passing through a given point.The equation of a line is a formula that is satisfied by every point on the line. two-variable linear equation thus represents a line.The equation of the line in slope intercept form is;
(y - y₁) = m(x - x₁)
The given coordinates are-
(x₁ ,y₁) = (-9, 12)
the slope of the line is;
slope = m = 3.
Put the values in the equation;
y - (-9) = 3(x - 12)
y + 9 = 3x - 36
y = 3x - 36 - 9
y = 3x - 45
Therefore, the equation of line in the slope intercept form is;
y = 3x - 45.
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Find the formula for the nth term of the following sequence:
17, 28, 39, 50...
Answer: 17, 28, 39, 50, ..., 11n+6
Step-by-step explanation:
17, 28, 39, 50, ...
28-17=11
39-28=11
50-39=11
Hence,
This is an arithmetic progression where a₁=17 and d=11
Use the formula for an arithmetic progression:
[tex]a_n=a_1+(n-1)d\\a_n=17+(n-1)11\\a_n=17+11n-11\\a_n=11n+6[/tex]
What is the solution set of {x | x > -5} u {x | x < 5}?
A) all numbers except -5 and 5
B) the numbers between -5 and 5
C) the empty set
D) all real numbers
On solving the inequalities The solution for this is option D
(D)All real numbers
For this case we must find the solution set of the following inequalities:
The solution is given by all values of x greater than -5.
The solution is given by all values of x greater than -5.
This is the union of both the inequalities a hence all the real numbers will justify the inequalities.
Then, the solution set is given by all real numbers.
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the temperature was 3 degrees celcius at midday. By evening, the temperature was -5 degrees celcius
A car and a truck follow the same route on a pair of round-trip deliveries. The function c(x) = -72 ∣ x - 5 | + 360 represents the distance (in miles) of the car from the starting point after x hours. The truck’s distance from the starting point is shown in the graph
Which vehicle takes longer to complete the delivery? How much longer? Justify your answers.
The truck takes a time of 1 longer to complete the delivery than that of the vehicle.
How to interpret Linear Functions?We are given the function that represents the distance (in miles) of the car from the starting point after x hours as;
C(x) = -72|x - 5| + 360
Now, at a time of x = 5 hours, the distance covered by the car is;
C(5) = -72|5 - 5| + 360
C(5) = 0 + 360
C(5) = 360 miles
Thus, the car covers a distance of 360 miles in 5 hours
Now, from the given graph that represents the truck’s distance from the starting point, we see that after 6 hours, it has covered 360 miles. Thus, we say that the truck covers 360 miles in 6 hours.
Thus, the truck takes 1 longer to complete the delivery than that of the vehicle.
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when you move diagonal on coordinate plane, what axis are you moving on?
HELP QUICK!!!!!
The value of A is
.
The value of B is
.
Answer it please i need your help….
Answer: the trust store, because a smaller denominator is a bigger fraction.
Isaiah has organized his personal information to calculate his net worth in a table, n Student loans Checking account balance 'Auto loan Credit card debt Car value Other personal property Cash on hand Savings account balance Based on this information, which table could be Isaiah's assets and liabilities statement?
The ratio of isaiah,s liabilities is less than 1.
Let , isaiah has total debt (not including mortgage) is $7,410.
Her net worth (not including his home) is $21,000.
Therefore, his debt-to-equity ratio is $7,410 divided by $21,000, or 0.35.
therefore, this ratio is less than 1, isaiah has not reached the upper limit of debt obligations.
Your net worth can be calculated by subtracting all of your debts and liabilities from your assets. You may have items that are intangible or difficult to sell that may be excluded from calculations used by financial institutions to determine loan eligibility.
the difference between your assets and your liabilities is your net worth. The formula looks like this: (Sum of the current value of all assets) - (Sum of the current total of all outstanding liabilities) = Net worth.
The net worth of a business is also known as its book value, or as its owners' (stockholders') equity. This figure can be computed relatively easily using information found on a company's balance sheet. However, even if the balance sheet isn't available, you can still calculate a business' net worth if you have some basic financial information.
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if x = -5 and y = -2 evaluate x2 - y3.
Answer: The answer is -4
Step-by-step explanation: The answer is -4 because you when you substitute x for -5(2) and y for -2(3). Which then equal -10 and the -6 turns into a positive 6 which then leads to -10+6 and equals -4!
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Check all relationships between 1 and 2.
1
2
Answer:
Step-by-step explanation:
adjacent and comp
A cube has an edge of length c.
If the length of each edge were
multiplied by 2/3, what would the volume of the cube be?
The volume of the cube given the length of each edge is 8/27 units³.
What is the volume of the cube?A cube is a three-sided object that has six faces, eight vertices and twelve edges. The six faces of a cube have the shape of a square. Thus, the length, width and height of a cube have the same dimensions. The angle between any two face in a cube measures 90 degrees. A cube is also known as a regular hexahedron.
A cube is one of the five platonic solids. A platonic solid is a solids that are made up of equivalent faces that are made up of congruent convex regular polygons.
Given the length of each edge of a cube, the volume can be determined by multiplying the given length edge by itself three times. Or by find the cube of the given length edge.
Volume of the cube = length edge³
2/3³ = 8/27 units³
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When Ava went to bed, the temperature was 3°F. When she woke up, the temperature had decreased by 6°F