In linear equation, 85.60 deductible amount does the policy show.
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) component, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Equations with variables of power 1 are known as linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.
As you can see in the above table
Insurance for A = Bodily injury + Property damage + Medical payments + Comprehensive + Collision + Additional Coverages + Towing and labor + loss of use
= 115+49.5+18.2+38.9+250+250+2+20
= 743.6
Calculation for B :
As you can see in the above table
Insurance for B = Bodily injury + Property damage + Medical payments + Comprehensive + Collision + Additional Coverages + Towing and labor + loss of use
= 118.2 + 45.9+ 18.2 +42.3 + 250+250+ 2 +20
= 746.6
Calculations for C :
Total each vehicle:2015 sports = A + extra passangers * Uninsurared motorised bodily injury
= 743.6 + 1*0 = 743.6
Calculations for D :
Total each vehicle:2018 minivan = B + extra passengers * Uninsured motorized bodily injury
= 746.6 + 1*76.1 = 822.7
Calculations for E:
= C + D
= 743.6 + 822.7
= 1566.3
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A 1-bedroom apartment on the 10th floor of the Downtown Apartment Complex rents for $390 per
month. A 1-bedroom apartment on the 15th floor rents for $440 per month. If the price of the apartment
goes up in equal increments as the floor number increases, what is the monthly rate for a 1-bedroom
apartment on the 34th floor?
answer :
630
explanation
it's a graph question in the form of a word problem
question says if
(10, 390) & (15, 440) then (34, y)?
if x = 34 then what is y
get slope
m = (440 - 390) / (15 - 10) = 10
get graph
y - y1 = m(x - x1)
y - 440 = 10(34 - 15)
y - 440 = 190
y = 630
chatgpt
A soccer team scored 24 goals in 16 games. Based on this relative frequency, how many goals can the team be expected to score in 10 games?
The team can be expected to score about 15 goals in 10 games based on their relative frequency of scoring 24 goals in 16 games.
What is relative frequency?The proportion or percentage of times that even an event or category occurs in a dataset is measured by relative frequency. It is derived by dividing the total number of observations in the dataset by the frequency with which the event or category occurs. In statistics, relative frequency is frequently used to compare the occurrence of various events or categories and to characterise the distribution of a dataset. Also, depending on a sample, it is used to calculate the likelihood that an event will occur in a population.
The goals scored in 10 games can be calculated using proportions:
Given that,
24 goals / 16 games = 1.5 goals per game
For 10 games we have:
1.5 goals per game × 10 games = 15 goals
Hence, the team can be expected to score about 15 goals in 10 games based on their relative frequency of scoring 24 goals in 16 games.
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Angie wants to earn a 90% for her overall history grade. During the course
she has to take 5 tests. So far, she has only taken 4 tests. Her exam
scores for the tests are as follows: 85, 83, 99, 95. If Angie wants to ensure
she will receive a 90%, what is the minimum score on the 5th test that she
can receive?
Please help me......................
Answer:
Your answer will be y=4 I believe
Please mark me brainliest if that is correct :)
7. The coordinates of the vertices of a hyperbola are (1, -1) and (1, 3).
The coordinates of the co-vertices of the same hyperbola are (-3, 1) and (5, 1).
Co-vertek
6 5 4 3 2 -1
b.
2
Vertex
4
(x+1)² (y+1)²
4
16
RET
Vertex
What would the standard form of the equation that describes the hyperbola?
(x-1)² (x-1)²
(y−1)²
16
4
(y+1)²
16
= 1
D
Co-vertex
✓
d.
(x−1)²
16
(x + 1)²
The answer is A. (x-1)²/16-(y-1)²/4=1. The standard form of the equation that describes the hyperbola is (x-1)²/16-(y-1)²/4=1.
What is hyperbola?A hyperbola is a two-dimensional, closed-curve shape with two branches, each of which is a mirror image of the other.
This equation is in the standard form of a hyperbola equation, which is
(x-h)²/a² - (y-k)²/b² = 1, where (h,k) is the center of the hyperbola and a and b are the distance from the center to the vertices of the hyperbola.
In this case, the center of the hyperbola is (1,1).
This can be determined by taking the average of the coordinates of the two vertices, (1,-1) and (1,3), which is (1,1).
The distance from the center to the vertices of the hyperbola is 8 for the x-coordinate, and 4 for the y-coordinate.
This can be determined by taking the difference of the coordinates of the vertices, which is 8 for the x-coordinate and 4 for the y-coordinate.
Therefore, the standard form of the equation that describes the hyperbola is (x-1)²/16-(y-1)²/4=1.
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A roofer props a ladder against a wall so that the base of the ladder is 4 feet away from the building. If the angle of elevation from the bottom of the ladder to the roof is 63°, how long is the ladder?
what is the answer? thank you
I need helllllllllllllllllp
Answer: A = 3
Step-by-step explanation:
4x-2=10
4x=12
x =12/4
x=3
How many three-digit positive integers x are there, such that subtracting the sum of digits of x from x gives a three-digit number whose digits are all the same?
Answer:
Step-by-step explanation:Let $x$ be a three-digit positive integer, and let $a$, $b$, and $c$ be the digits of $x$. Then we want $x - (a + b + c)$ to be a three-digit number whose digits are all the same. This means that $x - (a + b + c) = 111$, $222$, $\ldots$, or $888$.
If $x - (a + b + c) = 111$, then we have $x = a + b + c + 111$. Since $x$ is a three-digit number, $1 \leq a \leq 9$, $0 \leq b \leq 9$, and $0 \leq c \leq 9$. Thus, there are $9 \cdot 10 \cdot 10 = 900$ possible values of $x$ that give a three-digit number whose digits are all $1$.
Similarly, we have $x = a + b + c + 222$, $x = a + b + c + 333$, $\ldots$, and $x = a + b + c + 888$. Each of these equations gives $900$ possible values of $x$.
Therefore, there are a total of $8 \cdot 900 = \boxed{7200}$ three-digit positive integers $x$ that satisfy the conditions of the problem.
what will be the cost of a carpeting a rectangular room of 6 m long and 4 m wide with the carpet of width 1.5 m at rupees 200 per metre
need explanation pls....
(>0<；)
To determine the cost of carpeting the room, we first need to calculate the area of the room that needs to be carpeted.
The area of the room is:
A = l × w
A = 6 m × 4 m
A = 24 square meters
Next, we need to determine the area of the carpet required. Since the carpet has a width of 1.5 m, we can think of the room as being covered by a series of strips of carpet, each of width 1.5 m. We need to calculate the length of each strip and then multiply that by the width of the carpet.
The length of each strip is equal to the length of the room, which is 6 m. So, the area of each strip of carpet is:
A_strip = l × w_carpet
A_strip = 6 m × 1.5 m
A_strip = 9 square meters
To cover the entire room, we will need to use several strips of carpet. The number of strips required is the total area of the room divided by the area of each strip:
Number of strips = A / A_strip
Number of strips = 24 square meters / 9 square meters
Number of strips = 2.6667 strips
Since we cannot use a fractional number of strips, we will need to round up to 3 strips of carpet.
The total area of carpet required is the area of each strip multiplied by the number of strips:
Total area of carpet = A_strip × Number of strips
Total area of carpet = 9 square meters × 3
Total area of carpet = 27 square meters
Finally, we can calculate the cost of carpeting the room at the given rate of rupees 200 per meter:
Cost of carpeting = Total area of carpet × Cost per meter
Cost of carpeting = 27 square meters × Rs. 200 per meter
Cost of carpeting = Rs. 5,400
Therefore, the cost of carpeting the rectangular room of 6 m long and 4 m wide with the carpet of width 1.5 m at rupees 200 per meter would be Rs. 5,400.
Write a quadratic function f whose only zero is 5.
Step-by-step explanation:
a quadratic function means it has an "x²" based term as highest x exponent.
and as such it has 2 zeroes.
the request here simply means that both zeros must be equal and 5.
remember, factoring the function expression tells us the zeroes right away.
now we reverse the process.
we know the zeroes (5 - two times).
so we define the factors to have the desired zeroes :
y = (x - 5)(x - 5)
you see what i did there ? we need to have a quadratic equation, and therefore 2 zeroes. both with the value of 5.
y = (x - 5)(x - 5) = x² - 5x - 5x + 25 = x² - 10x + 25
A quadratic function with only one zero can be derived using the vertex form of a quadratic function, where h equals the zero. Hence, a possible quadratic function with five as the only zero is f(x) = (x - 5)^2.
Explanation:
In mathematics, a quadratic function is written in the form f(x) = ax2 + bx + c.
If a quadratic function has only one zero or root, it means that the parabola touches the x-axis at that point only.Considering the given zero from the question, we have the zero equals 5.By using the concept of vertex form of a quadratic function which is f(x) = a(x-h)2 + k, where (h,k) is the vertex of the parabola, we can create a quadratic function with 5 as the only zero by setting h = 5 and a ≠ 0, k can be any value.So, a potential function could be f(x) = (x - 5)2.
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whats the answer also explain why its the answer
Answer:
B. Socialism
Step-by-step explanation:
In contrast to capitalism, socialists believe the shared ownership of resources and central planning offer a more equitable distribution of goods and services.
Karl Marx was the most prominent voice of socialism and believed the working class would rise up against the wealthy when faced with injustices.
If mWC = 108° and m/U = 37°, find mLQ.
The measure of arc LQ (m∠LQ) is equal to 34 degrees.
What is a chord of circleIn Mathematics and Geometry, a chord of circle can be defined as a line segment that typically join any two (2) points of a circle.
Generally speaking, the inscribed angle of a circle is equal to half of the central angle of a circle. Mathematically, this is represented by the following mathematical expression:
m∠U = 1/2(m∠WC - m∠LQ)
37 = 1/2(108 - m∠LQ)
74 = 108 - m∠LQ
m∠LQ = 108 - 74
m∠LQ = 34 degrees.
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On the augmented matrix A below, perform all three-row operations in the order given, ((a) followed by (b) followed by (c)) and then write the resulting augmented matrix.
After applying the row operations, the matrix is obtained as [tex]\left[\begin{array}{c c c | c}1 & 1 & 1 & 3\\0 & 1 & -6 & -4 \\0 & 0 & -13 & -8\end{array}\right] \\[/tex].
What is a matrix?
A matrix is a rectangular array or table with numbers or other objects arranged in rows and columns. Matrices is the plural version of matrix. The number of columns and rows is unlimited. Matrix operations include addition, scalar multiplication, multiplication, transposition, and many others.
The augmented matrix is given as -
[tex]\left[\begin{array}{c c c | c}1 & 1 & 1 & 3\\2 & 3 & -4 & 2 \\-1 & -4 & 4 & 1\end{array}\right][/tex]
The first row operation is -
[tex]R_2=-2r_1+r_2[/tex]
After applying the row operation the matrix will be -
[tex]\left[\begin{array}{c c c | c}1 & 1 & 1 & 3\\0 & 1 & -6 & -4 \\-1 & -4 & 4 & 1\end{array}\right] \\[/tex]
The second row operation is -
[tex]R_3=1r_1+r_3[/tex]
After applying the row operation the matrix will be -
[tex]\left[\begin{array}{c c c | c}1 & 1 & 1 & 3\\0 & 1 & -6 & -4 \\0 & -3 & 5 & 4\end{array}\right] \\[/tex]
The third row operation is -
[tex]R_3=3r_2+r_3[/tex]
After applying the row operation the matrix will be -
[tex]\left[\begin{array}{c c c | c}1 & 1 & 1 & 3\\0 & 1 & -6 & -4 \\0 & 0 & -13 & -8\end{array}\right] \\[/tex]
Therefore, the matrix is obtained as [tex]\left[\begin{array}{c c c | c}1 & 1 & 1 & 3\\0 & 1 & -6 & -4 \\0 & 0 & -13 & -8\end{array}\right] \\[/tex].
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Please help!! Correct answer gets brainliest!!
Graph B is correct and shows the rectangular opening.
Looking at the text the question, I notice that each unit means 1 inch. After looking at all the graphs, I found out that B was the correct answer because of the sides. The sides are five inches by two inches and it was the only graph that had these units.
—————
Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle
—————
Answer: Option B.
Step-by-step explanation:
With the scale of one unit equalling one inch, the only answer option that meets the given requirement of having side lengths that are 5 inches and 2 inches is option B.
Answer A is 4 units by 2 units, Answer B is the needed 5 units by 2 units, Answer C is 7 units by 2 units, and Answer D is 6 units by 2 units. This leaves us with Answer B.
2. Find the surface area of the triangular prism whose net is shown below.
Show all work.
12 cm
13 cm
5 cm
12 cm
8 cm
8 cm
13 cm
5 cm
12 cm
12 cm
Answer:
133
Step-by-step explanation:
A forklift operator has the task of moving 43 palettes from one location to another. If the most palettes he can move at one time are 8 what are the minimum number of trips he will have to make from one location to the other in order to move all the palettes?
The forklift operator can move at most 8 palettes at one time.
What is Forklift operator?A forklift operator is a person who operates a forklift, which is a type of powered industrial truck used to lift and move heavy materials over short distances. Forklift operators are commonly employed in warehouses, manufacturing plants, and other industrial settings where materials need to be moved and stored. They are responsible for loading and unloading trucks, transporting materials to and from storage areas, and positioning materials for storage or processing. Forklift operators must be trained and certified to operate the equipment safely and efficiently.
In the given question,
To move all 43 palettes, the operator needs to make at least 43/8 = 5.375 trips.
Since the operator cannot make a fraction of a trip, he will need to make at least 6 trips in order to move all 43 palettes.
On the first five trips, the operator will move 8 palettes each time, and on the final trip, he will move the remaining 3 palettes.
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What is the area of the triangle shown below if the value of h is 3/4 of the length of the side that is labeled in the figure?
Quadrilateral ABCD has vertices A(2,4), B(5, 4), C(8, 1), and D(5, 1). Graph the image of quadrilateral ABCD after a dilation centered at D with a scale factor of
followed by a reflection in the line x = 1.
The final image of quadrilateral ABCD after a dilation centered at D with a scale factor of 2, followed by a reflection in the line x = 1, is attached below, where A', B', C', and D' are the new points after the transformation.
What are Transformation and Reflection?
Single or multiple changes in a geometrical shape or figure are called Geometrical Transformation. A geometrical transformation in which a geometrical figure changes his position to his mirror image about some point or line or axis is called Reflection.
First, we need to apply the dilation centered at point D with a scale factor of 2. To do this, we will multiply the coordinates of each point by 2, with D as the center of dilation.
Point D remains the same since the scale factor does not affect it:
D(5, 1)
To find the new coordinates of points A, B, and C, we will use the following formula:
New Point = Center of Dilation + Scale Factor * (Original Point - Center of Dilation)
For point A:
New A = D + 2 * (A - D)
New A = (5, 1) + 2 * (-3, 3)
New A = (-1, 7)
For point B:
New B = D + 2 * (B - D)
New B = (5, 1) + 2 * (0, 3)
New B = (5, 7)
For point C:
New C = D + 2 * (C - D)
New C = (5, 1) + 2 * (3, -3)
New C = (11, -5)
Now that we have the new coordinates, we can reflect the image in the line x = 1. To do this, we will reflect each point across the line x = 1 by replacing the x-coordinate with its reflection across the line.
The equation of line x = 1 is a vertical line passing through x = 1. Therefore, to reflect a point across this line, we need to find the difference between the x-coordinate of the point and the line (which is 1), and subtract that difference from the line.
For point D:
D(5, 1) reflected in x = 1 is (2, 1)
For point A:
New A(-1, 7) reflected in x = 1 is (-3, 7)
For point B:
New B(5, 7) reflected in x = 1 is (-3, 7)
For point C:
New C(11, -5) reflected in x = 1 is (13, -5)
Hence, The final image of quadrilateral ABCD after a dilation centered at D with a scale factor of 2, followed by a reflection in the line x = 1, is attached below, where A', B', C', and D' are the new points after the transformation.
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If noah had 5 dollars and diego has 150% as noah how much does Diego.
Answer: 7.5
Step-by-step explanation: Because Noah has five dollars, 100% of 5 is 5, and 50% of 5 is 2.5 so Diego has 7.5 dollars.
Answer:
$7.5
Step-by-step explanation:
There are two ways to solve this:
1) First, write the equation:
150% of 5
Then calculate:
[tex]\frac{150}{100} *5[/tex]
Finally, simplify 1 zero with the 0 in 15:
1.5 * 5
= $7.5
2) For the second way, because 150 is more than over 100 (percent), you deduct 150 and 100:
150 - 100 = 50
Then find 50% of 50:
[tex]\frac{50}{100} *5[/tex]
Then cancel 1 zero in 100 with the zero in 50:
0.5 * 5
= 2.5
Finally, add the product with the original amount of Noah:
5 + 2.5
= $7.5
the half life of a drug in the bloodstream is 3 hours. if you took a 600mg dose how much of the drug will remain after one day.will remain after one day? i got 2mg please help
Say no to drugs. It is not good for the body.
Describe the correlation for an r-value of –0.86.
A.
weak, negative correlation
B.
strong, negative correlation
C.
strong, positive correlation
D.
weak, positive correlation
B. strong, negative correlation. An r-value of -0.86 shows a significant, negative correlation between the two variables under consideration.
An r-value of -0.86 shows a significant, negative correlation between the two variables under study. This implies that while one variable rises, the other falls, and vice versa. The inverse relationship is indicated by the negative sign, and the strength of the association is indicated by the absolute value of 0.86. A correlation coefficient's range is from -1 to 1, where -1 denotes a perfect negative correlation, 0 denotes no correlation, and 1 denotes a perfect positive correlation. Thus, an r-value of -0.86 denotes a significant, negative correlation between the two variables.
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can you find the limit?
Answer:
3
Step-by-step explanation:
Result of 6³⁶ pls i Need this
We know that we would need to make use of the calculator to obtain the value of 6³⁶ as 1.03 * 10^28.
What is the meaning of 6³⁶?The expression 6³⁶ means "6 raised to the power of 36," which is equivalent to multiplying 6 by itself 36 times.
So, 6³⁶ is a very large number. This number is difficult to comprehend, but it has many practical applications in fields such as physics, engineering, and computer science.
We can see that we have to make use of the standard form to write; 1.03 * 10^28 as the result.
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A test is worth 125 points . How many points (rounded to nearest whole number ) are needed to obtain a score of 85%?
Step-by-step explanation:
You need to find 85% of 125 points :
85% * 125 = .85 * 125 = ~ 106 points
The textbook says c = (1,2,3,4)
but according to my solution in the picture below,
I got c = (1,2,2,2).
Where did I get wrong?
(Don't mind the Korean words!
This question is about matrix factorization.)
According to the information the mistake is in the calculation of the vector y. According to your solution, y = [3, 2, 1, 0], but it should actually be y = [2, 2, 2, 2].
How to find the misftake?To see why, let's go back to the definition of y. We have:
y = c - Ax
Plugging in the given values, we get:
y = [1, 2, 3, 4] - [[1, 1, 0, 0], [0, 1, 1, 0], [0, 0, 1, 1]] [x1, x2, x3, x4]
Simplifying this matrix multiplication, we get:
y = [1-x1-x2, 2-x2-x3, 3-x3-x4, 4-x4]
Now we need to solve for x1, x2, x3, and x4 such that y = [2, 2, 2, 2]. That means we have the following system of equations:
1 - x1 - x2 = 2
2 - x2 - x3 = 2
3 - x3 - x4 = 2
4 - x4 = 2
Solving this system, we get x1 = -1, x2 = -1, x3 = 0, and x4 = 2. Plugging these values back into the equation for y, we get y = [2, 2, 2, 2], which is the correct solution.
So it looks like the mistake was in the calculation of y, which led to incorrect values for x1, x2, x3, and x4, and ultimately an incorrect value for c.
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How do I graph [tex]5\sqrt{y}[/tex] and [tex]y[/tex]. I know it's supposed to look like the picture below but I don't knw how to get there. How do I come up with the points and graph into the calculator.
Simply enter the equations into the calculator and use the graphing option to visualize these equations.
what is equations ?A mathematical assertion that two expressions are equal is known as an equation. One or more variables, or values that can change within a specific range, are frequently present in equations. The equal sign (=) is frequently used in equations to denote that the expressions on each side of it have the same value. For instance, the formula x + 2 = 5 states that the product of x and 2 equals 5. When we solve for x in this equation, we get x = 3, which is the value of x that causes the equation to hold true.
given
Follow these steps to graph y = 2x - 1 and y = -x + 3:
To plot, pick a set of x-values. For instance, you could select -5 x 5.
For each equation, enter x values to determine the associated y values. You can create a table to aid with work organization:
Draw a coordinate plane and plot the points from your table there. For instance, the first row of the table is represented by the point (-5, -11).
For each equation, draw a straight line to join the points. The slope of the line for y = 2x - 1 will be positive, whereas the slope of the line for y = -x + 3 will be negative.
Use a graphing calculator to double-check your work and make sure your graph matches the one in the image.
Simply enter the equations into the calculator and use the graphing option to visualize these equations.
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A second figure with a height of 19 ft is similar to the figure below. Find the surface area
and volume of the second figure.
7 ft
5 ft
6 ft
5 ft
Therefore, the surface area of the second figure is 3049.6 square feet, and its volume is 11,483.68 cubic feet.
What is volume?Volume is a measure of the amount of space that a three-dimensional object occupies. It is the measure of how much space is enclosed within a boundary in three dimensions. In simple terms, volume is the amount of space that an object occupies. It is measured in cubic units such as cubic meters (m³), cubic centimeters (cm³), cubic feet (ft³), or gallons (gal).
Here,
To find the surface area and volume of the second figure, we need to know the dimensions of the figure. Since the second figure is similar to the first one, we know that the ratios of the corresponding sides of the two figures are equal. Let x be the unknown scale factor between the two figures. Then, we have:
x = 19/5 (the ratio of the heights of the two figures)
So, we can find the other dimensions of the second figure by multiplying the corresponding dimensions of the first figure by x.
The dimensions of the first figure are:
Height = 5 ft
Length = 6 ft
Width = 7 ft
Multiplying these dimensions by x, we get:
Height = 19 ft (given)
Length = 6 * (19/5) = 22.8 ft
Width = 7 * (19/5) = 26.6 ft
Now, we can find the surface area and volume of the second figure.
Surface area = 2lw + 2lh + 2wh
= 2(22.8 * 26.6) + 2(22.8 * 19) + 2(26.6 * 19)
= 3049.6 ft²
Volume = lwh
= 22.8 * 19 * 26.6
= 11,483.68 ft³
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Complete question:
A second figure with a height of 19 ft is similar to the figure below. Find the surface area and volume of the second figure.
12. Pure fruit concentrate must be diluted with water in the ratio 1:7.
How many millilitre of concentrate are needed to make 5litres cool drink?
By answering the presented question, we may conclude that To prepare ratio 5 litres of cold drink, we'll need 625 millilitres of pure fruit concentrate.
what is ratio?In mathematics, ratios demonstrate how frequently one number is contained in another. For example, if there are 8 oranges and 6 lemons in a fruit plate, the ratio of oranges to lemons is 8 to 6. In a similar vein, the orange-to-whole-fruit ratio is 8, whereas the lemon-to-orange ratio is 6:8. A ratio is an ordered pair of integers a and b represented as a / b, where b is not zero. A ratio is an equation that equates two ratios. For example, if there is one male and three girls (for every boy she has three daughters), 3/4 are girls and 1/4 are boys.
If the concentrate-to-water ratio is 1:7, it signifies that the final product requires 7 parts water for every 1 part concentrate. As a result, the total number of components in the combination is 1+7=8.
To produce 5 litres of the cold drink, we must first establish the quantity of concentrate necessary to make 8 parts, and then multiply this figure by 5 litres.
As a result, we need 1 part concentrate and 7 parts water to create 8 parts.
As a result, we require 1/8th of 5,000 millilitres of concentrate, or 625 millilitres.
To prepare 5 litres of cold drink, we'll need 625 millilitres of pure fruit concentrate.
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Use elimination and back substitution to solve for x and y in the system of linear equations below.
Answer:
(-2,-8)
Step-by-step explanation:
6x + 7y = -68
-2x + 7y = -52
Time the first equation by -1
-6x - 7y = 68
-2x + 7y = -52
-8x = 16
x = -2
Now put -2 in for x and solve for y
6(-2) + 7y = -68
-12 + 7y = -68
7y = -56
y = -8
Let's Check
6(-2) + 7(-8) = -68
-12 - 56 = -68
-68 = -68
So, (-2, -8) is the correct answer.
Find the exact values of cos 150 and sin 150