Answer: the opposite of 45 is......-45????
Step-by-step explanation: um your question is a little unclear, but the opposite of 45 is -45.
Answer:
the opposite of a number is just that number with a negative sign because it is flipped to the other side of zero
Step-by-step explanation:
i think that's what u wanted but the question was kind of unclear
A linear relation is given by the function f (x) = −7x +18 . If (x, 46) is on the function, the value of x is
Answer:
x=-4
Step-by-step explanation:
46 = -7x + 18
subtract 18 from each side to get:
28 = -7x
divide each side by -7 to get:
x = -4
whats the answer to 1.17-0.07+ (3.92a)
Answer:
3.92a + 1.1
Step-by-step explanation:
remove the parentheses
1.17 - 0.07 + 3.92a
subtract
1.17 - 0.07 = 1.1
= 3.92a + 1.1
A store is going out of business. Everything is marked down by 40%. How much do you pay now for an item that used to cost $50?
Answer:
= $20.
Step-by-step explanation:
items pay now = x
40 : 100 = x : 50
40/100 = x/50
40× 5o = 100x
2000 = 100x
2000/100 = 100x/100
$20= x
therefore you pay $20 item that used to cost $50.
I need help! It is confusing, I need a little help
Complete the table below (use fractions-not decimals!) if you use it to graph the function f(x) equals 3X squared
The graph of the equation f(x) = 3x² is illustrated below,
To plot the graph of the equation f(x) = 3x², we need to find the corresponding y-values for different x-values.
Let's start by choosing some x-values. For simplicity, we'll select -2, -1, 0, 1, and 2. We can choose more points if needed to get a better understanding of the graph.
For each x-value, we substitute it into the equation f(x) = 3x² to find the corresponding y-value. Let's calculate the y-values for the chosen x-values:
For x = -2:
f(-2) = 3(-2)²
= 3(4)
= 12
For x = -1:
f(-1) = 3(-1)²
= 3(1)
= 3
For x = 0:
f(0) = 3(0)²
= 3(0)
= 0
For x = 1:
f(1) = 3(1)²
= 3(1)
= 3
For x = 2:
f(2) = 3(2)²
= 3(4)
= 12
Now, let's plot these points on a graph. We'll use a coordinate plane with the x-axis and y-axis labeled. Place each point according to its x and y coordinates. In our case, the x-values are -2, -1, 0, 1, and 2, and the corresponding y-values are 12, 3, 0, 3, and 12, respectively.
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Complete question:
Plot the graph for the equation f(x) = 3x²
8.25% sales tax on a $233
I need help???
Answer:
233-19.2225=213.7775
Step-by-step explanation:
Answer:
8.25% of $233 should be $28.24 bringing the total to $261.24
Solve the following two equation system for y:
13*x + 50*y = 952
-54*x + 4*y = 25
Please round to two decimal places as needed.
The solution to the given system of equations is y = 15.57 using the method of substitution.
To solve the system of equations, we can use the method of substitution or elimination. Let's use the elimination method here.
First, we can multiply the second equation by 13 to make the coefficients of x in both equations the same. This gives us:
-702x + 52y = 325.
Next, we can add the two equations together to eliminate x. This results in:
(13x - 54x) + (50y + 4y) = 952 + 25,
-41x + 54y = 977.
Now we have a new equation:
-41x + 54y = 977.
To isolate y, we can multiply the first equation by 54 and the second equation by 50 to make the coefficients of y the same. This gives us:
702x + 2700y = 51408,
-2700x + 216y = 1250.
By adding these two equations together, we obtain:
-1998x + 2970y = 52658.
Now we have another equation:
-1998x + 2970y = 52658.
We can solve this equation to find the value of y:
2970y = 52658 + 1998x,
y = (52658 + 1998x) / 2970.
Substituting the value of x into the equation, we find:
y = (52658 + 1998(-15.57)) / 2970,
y = 15.57.
Therefore, the solution to the system of equations is y = 15.57.
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Circle the correct answer choice.
1. Which is equivalent to
0.3 + 0.09 + 0.002?
A 0.14
B 0.014
C 39.2
D 0.392
Answer: D) 0.392
Step-by-step explanation:
0.300
0.090
0.002
__________
0.392
Prove that between every two rational numbers there is an irrational number.
We can prove that between every two rational numbers there is an irrational number.
To prove that between every two rational numbers, there is an irrational number, we first need to understand what rational and irrational numbers are.
Irrational numbers are any numbers that cannot be expressed as a fraction (ratio) of two integers. Examples of irrational numbers include pi (π), the square root of 2 (√2), and the golden ratio (φ).
To prove that between every two rational numbers, there is an irrational number, we can use proof by contradiction. Suppose there are two rational numbers, a and b, where a < b.
Let's assume that there is no irrational number between them. This means that all numbers between a and b are rational. Since a and b are rational numbers, we can express them as fractions.
Let a = p/q and b = r/s, where p, q, r, and s are integers with q and s not equal to 0. Since a < b, we have p/q < r/s, which means ps < qr. Consider the number x = (p + r)/(q + s).
This number is a fraction and therefore a rational number. Also, x is between a and b, so x must be rational too.But, if we simplify x, we get x = (p + r)/(q + s) = (p/q + r/s)/(1 + q/s) = (a + b)/(1 + bs).Since a and b are rational and bs is also rational, (a + b)/(1 + bs) is also rational.
This contradicts our assumption that there are no irrational numbers between a and b. Therefore, we can conclude that between every two rational numbers, there is an irrational number.
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Brody has p times as many photographs as Xavier. Xavier has 16 photographs. Write an expression that shows how many photographs Brody has.
Answer: 16*p=x
Step-by-step explanation:
Which of the following describes the function shown in the table below? x y -4 16 -1 2 2 0. 25 4 0. 0625 5 0. 03125 exponential, there is a constant rate of growth exponential, there is a constant rate of decay or decrease quadratic, there is a second degree change in the y-values quadratic, there is a constant difference between consecutive y-values.
The given table is an example of constant exponential decay.
It is given that
X Y
-4 16
-1 2
2 0.25
4 0.0625
5 0.03125
What is an exponential function?An exponential function is a relation of the form y = a^x, with the independent variable x ranging over the entire real number line as the exponent of a positive number a.
The y-value at -4 is 16 while the y-value at -1 is 2, a decrement of 1/8 times for an increment in x-value by 3
Again, the y-value at 2 is 0.25 while the y-value at 5 is 0.03125, a decrement of 1/8 times for an increment in x-value by 3.
In both cases, the rate of decrement is constant.
So we can say that this is an example of constant exponential decay.
We can also see this behavior from the attached graph.
Therefore, the given table is an example of constant exponential decay.
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if a/3 =b/2 what are the following ratios a+b=4a
Answer:
5a:3b. Related Answer. If 2a-3b=1and5a+2b=50, then what is the value of a-b? ... If a : b = 4 : 5 ," find "(5a-b. play · like-icon ... Add the following expressions: (i) x^3-2x^2y+ ... 4(a+b)/2(a?b) 3a+3b/2a?2b (a+b)^2/(a?b)^2 a?b/a+b 2a?2b/5a+5b.5a:3b. Related Answer. If 2a-3b=1and5a+2b=50, then what is the value of a-b? ... If a : b = 4 : 5 ," find "(5a-b. play · like-icon ... Add the following expressions: (i) x^3-2x^2y+ ... 4(a+b)/2(a?b) 3a+3b/2a?2b (a+b)^2/(a?b)^2 a?b/a+b 2a?2b/5a+5b.
Step-by-step explanation:
5a:3b. Related Answer. If 2a-3b=1and5a+2b=50, then what is the value of a-b? ... If a : b = 4 : 5 ," find "(5a-b. play · like-icon ... Add the following expressions: (i) x^3-2x^2y+ ... 4(a+b)/2(a?b) 3a+3b/2a?2b (a+b)^2/(a?b)^2 a?b/a+b 2a?2b/5a+5b.
-7x+3y=2 (find the ordered pair)
A. (1,3)
B: (-2,-4)
C. Both
D. Neither
Pls help ASAP! 20pts! What is the value of sin N? What is the value of x to the nearest tenth? What is the value of x to the nearest degree?
Answer:
1.
\(C.\\sin(N)=\frac{\sqrt{3} }{2}\)
2.
\(x=82.1\)
3.
x = 18°
Step-by-step explanation:
1. The sine ratio is sin(θ) = opposite/hypotenuse, where θ is the reference angle. When N is the reference angle, we see that side OP with a measure of 5√3 units is the opposite side and side NP with a measure of 10 units is the hypotenuse.
Thus, we can find plug everything into the sine ratio and simplify:
\(sin(N)=\frac{5\sqrt{3} }{10} \\\\sin(N)=\frac{\sqrt{3} }{2}\)
2. We can use the tangent ratio to solve for x, which is tan (θ) = opposite/adjacent. If we allow the 75° to be our reference angle, we see that the side measuring x units is the opposite side and the side measuring 22 units is the adjacent side. Thus, we can plug everything into the ratio and solve for x or the measure of the opposite side:
\(tan(75)=\frac{x}{22}\\ \\22*tan(75)=x\\\\82.10511777=x\\\\82.1=x\)
3. Since we're now solving for an angle, we must using inverse trigonometry. We can use the inverse of the tangent ratio, whose equation is tan^-1 (opposite/adjacent) = θ. We see that when the x° is the reference angle, the side measuring 11 units is the opposite and the side measuring 33 units is the adjacent side. Now we can do the inverse trig to find the measure of x:
\(tan^-^1(\frac{11}{33})=x\\ 18.43494882=x\\18=x\)
describe and explain the difference between the mean, median, and mode. choose the correct answer below
Answer: Mean is the value obtained by dividing the sum of several quantities by their number; an average. Denoting the middle term of a series arranged in order of magnitude. The value which occurs most frequently in a set of data is known as the mode of the set of data.
Step-by-step explanation:
determine whether the set s is linearly independent or linearly dependent.s = {(−2, 2, 4), (1, 9, −2), (2, 3, −3)}
To determine whether the set S is linearly independent or linearly dependent.The set is linearly independent. This is because the only way to make a linear combination of vectors equal to the zero vector is to have all the coefficients equal to zero.
A linear combination of vectors is the sum of a scalar multiple of each vector in the set. We must check if the equation a(-2,2,4) + b(1,9,-2) + c(2,3,-3) = (0,0,0) has only the trivial solution, i.e., a=b=c=0. This gives us the system of equations,-2a + b + 2c = 01a + 9b + 3c = 02a - 2b - 3c = 0We can solve the system of equations by using Gauss-Jordan elimination. The augmented matrix for the system is:[-2 1 2 0][1 9 3 0][2 -2 -3 0]Let's use elementary row operations to simplify the matrix.
We can swap the first and second rows since the first element in the second row is 1.[1 9 3 0][-2 1 2 0][2 -2 -3 0]We can then add twice the first row to the third row to eliminate the leading coefficient in the third row.[1 9 3 0][-2 1 2 0][0 16 3 0]We can then add nine times the first row to the second row to eliminate the leading coefficient in the second row.[1 9 3 0][0 17 15 0][0 16 3 0]We can then add -16/17 times the second row to the third row to eliminate the leading coefficient in the third row.[1 9 3 0][0 17 15 0][0 0 -117/17 0]We see that the only solution is a=0, b=0, and c=0. Therefore, the set S is linearly independent.
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Find the distance and midpoint for the points (5,5) and (1,2).
The distance is
The midpoint is
)
Answer:
midpoint = (3,3.5)
distance = 5
Step-by-step explanation:
midpoint = (x1+X2/2, y2+y2/2)
=(5+1/2, 5+2/2)
=(6/2, 7/2)
=(3, 3.5)
distance= √(x2-x1)^2 -(y2-y1)^2
=√(1-5)^2 -(2-5)^2
= √ 16+9 =√25 =5
wires manufactured for a certain computer system are specified to have a resistance of between 0.10 and 0.17 ohms. the actual measured resistances of the wires produced by company a have a normal probability density distribution, with expected value 0.13 ohms and standard deviation 0.005 ohms. if three independent such wires are used in a single system and all are selected randomly from company a, what is the probability that they all will meet the specifications?
The probability that all three wires will meet the specifications is approximately 0.173 .
Expected value (mean) of wire resistance = 0.13 ohms Standard deviation of wire resistance = 0.005 ohms
the probability for each wire, we need to standardize the range of resistance values using the expected value and standard deviation. We can use the Z-score formula:
Z = (X - μ) / σ
Z is the standard score (Z-score) X is the observed value (resistance) μ is the mean (expected value) σ is the standard deviation
For the lower specification of 0.10 ohms
Z1 = (0.10 - 0.13) / 0.005
For the upper specification of 0.17 ohms
Z2 = (0.17 - 0.13) / 0.005
Using a standard normal distribution table , we can find the probability associated with each Z-score.
Lower bound of standardized range = (0.10 - 0.13) / 0.005 = -0.06
Upper bound of standardized range = (0.17 - 0.13) / 0.005 = 0.80
Let's calculate the probabilities for each wire
P(z < -0.60) ≈ 0.2743
P(z < 0.80) ≈ 0.7881
Since we want the probability that all three wires meet the specifications, we need to multiply these probabilities together since the wires are selected independently.
P(all three wires meet specifications) = P(z < -0.60) × P(z < 0.80) × P(z < 0.80)
P(all three wires meet specifications) ≈ 0.2743 × 0.7881 × 0.7881 ≈ 0.1703
Therefore, the probability that all three wires will meet the specifications is approximately 0.173, or 17.3% .
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(x^4+x^3+x^2+7x+5)/(x+1)
The division of x⁴ + x³ + x² + 7x + 5 by x + 1 will have a quotient of x³ + x + 6 and a remainder of -1 using synthetic division.
Dividing with synthetic divisionThe procedure for synthetic division involves the following steps:
Divide.
Multiply.
Subtract.
Bring down the next term, and
Repeat the process to get zero or arrive at a remainder.
We shall divide x⁴ + x³ + x² + 7x + 5 by x + 1 as follows;
x⁴ divided by x equals x³
x + 1 multiplied by x equals x⁴ + x³
subtract x⁴ + x³ from x⁴ + x³ + x² + 7x + 5 will give us x² + 8x + 5
x² divided by x equals x
x + 1 multiplied by x equals x² + x
subtract x² + x from x² + 8x + 5 will give us 6x + 5
6x divided by x equals 6
x + 1 multiplied by 6 equals 6x + 6
subtract 6x + 6 from 6x + 5 will give us a remainder of -1
Therefore by synthetic division, x⁴ + x³ + x² + 7x + 5 divided by x + 1 is equal to the quotient of x³ + x + 6 with a remainder of -1.
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What is the measure of angle x?
Answer:
159
Step-by-step explanation:
The angle below is a co-interior angle
This means that both angle should add up to 180
180 - 21 = 159Have a lovely day :)
Answer:
Step-by-step explanation:
Because we know that the two lines going diagonal are equivalent, we also know that they are parallel because equivalent lines have the same slope, meaning they are parallel. We also know that the two interior angles should add to 180. Follow the steps in the image for the rest.
-Hope this helped
The Land of Nod lies in the monsoon zone, and has just two seasons, Wet and Dry. The Wet season lasts for 1/3 of the year, and the Dry season for 2/3 of the year. During the Wet season, the probability that it is raining is 3/4; during the Dry season, the probability that it is raining is 1/6. (a) I visit the capital city, Oneirabad, on a random day of the year. What is the probability that it is raining when I arrive? (b) I visit Oneirabad on a random day, and it is raining when I arrive. Given this information, what is the probability that my visit is during the Wet season? (c) I visit Oneirabad on a random day, and it is raining when I arrive. Given this information, what is the probability that it will be raining when I return to Oneirabad in a year's time? (You may assume that in a year's time the season will be the same as today but, given the season, whether or not it is raining is independent of today's weather.)
Answer:
Step-by-step explanation:
(a) To find the probability that it is raining when you arrive in Oneirabad on a random day, we need to use the law of total probability.
Let A be the event that it is raining, and B be the event that it is the Wet season.
P(A) = P(A|B)P(B) + P(A|B')P(B')
Given that the Wet season lasts for 1/3 of the year, we have P(B) = 1/3. The probability that it is raining during the Wet season is 3/4, so P(A|B) = 3/4.
The Dry season lasts for 2/3 of the year, so P(B') = 2/3. The probability that it is raining during the Dry season is 1/6, so P(A|B') = 1/6.
Now we can calculate the probability that it is raining when you arrive:
P(A) = (3/4)(1/3) + (1/6)(2/3)
= 1/4 + 1/9
= 9/36 + 4/36
= 13/36
Therefore, the probability that it is raining when you arrive in Oneirabad on a random day is 13/36.
(b) Given that it is raining when you arrive, we can use Bayes' theorem to calculate the probability that your visit is during the Wet season.
Let C be the event that your visit is during the Wet season.
P(C|A) = (P(A|C)P(C)) / P(A)
We already know that P(A) = 13/36. The probability that it is raining during the Wet season is 3/4, so P(A|C) = 3/4. The Wet season lasts for 1/3 of the year, so P(C) = 1/3.
Now we can calculate the probability that your visit is during the Wet season:
P(C|A) = (3/4)(1/3) / (13/36)
= 1/4 / (13/36)
= 9/52
Therefore, given that it is raining when you arrive, the probability that your visit is during the Wet season is 9/52.
(c) Given that it is raining when you arrive, the probability that it will be raining when you return to Oneirabad in a year's time depends on the season. If you arrived during the Wet season, the probability of rain will be different from if you arrived during the Dry season.
Let D be the event that it is raining when you return.
If you arrived during the Wet season, the probability of rain when you return is the same as the probability of rain during the Wet season, which is 3/4.
If you arrived during the Dry season, the probability of rain when you return is the same as the probability of rain during the Dry season, which is 1/6.
Since the season you arrived in is independent of the weather when you return, we need to consider the probabilities based on the season you arrived.
Let C' be the event that your visit is during the Dry season.
P(D) = P(D|C)P(C) + P(D|C')P(C')
Since P(C) = 1/3 and P(C') = 2/3, we can calculate:
P(D) = (3/4)(1/3) + (1/6)(2/3)
= 1/4 + 1/9
= 9/36 + 4/36
= 13/36
Therefore, the probability that it will be raining when you return to Oneirabad in a year's time, given that it is raining when you arrive, is 13/36.
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The top suface of a desk is composed of 2 rectangles and a triangle. some side lengths of the top surface of the desk are shown
Answer:
Full question?
If I am not mistaken, I have seen this question on brainly before.
With two rectangles connecting two sides of a triangle with lengths 1.5ft and 2.5ft.
This would make area of the surface of the top desk 8.625ft².
Bjon is baking his favorite dessert. The recipe calls for 5/8 of a stick of butter but he wants to double the recipe how much butter will bjon need
Answer:
1 1/4 sticks
Step-by-step explanation:
5/8 x 2 = 10/8 or 1 2/8 = 1 1/4
If a driver brings a car traveling at 22 m/s to a full stop in 2.0 s with an acceleration of -8 m/s?, then how far did the car travel while braking?
The car traveled a distance of 30.25 meters while braking.
When a car is brought to a full stop from an initial velocity of 22 m/s with an acceleration of -8 m/s^2, we can use the laws of motion to determine the distance traveled by the car while braking.
The relevant equation to use in this case is:
\(v^2 = u^2 + 2as\)
where v is the final velocity (which is 0, since the car comes to a full stop), u is the initial velocity (which is 22 m/s), a is the acceleration (which is \(-8 m/s^2\), since the car is decelerating), and s is the distance traveled while braking.
Substituting the given values into the equation, we get:
\(0^2 = (22 m/s)^2 + 2(-8 m/s^2)s\)
Simplifying this equation, we get:
\(0 = 484 m^2/s^2 - 16s\)
\(16s = 484 m^2/s^2\)
\(s = (484 m^2/s^2) / 16s = 30.25 m\)
Therefore, the car traveled a distance of 30.25 meters while braking.
This calculation shows that the distance traveled by the car while braking depends on the initial velocity of the car and the rate at which it decelerates. In this case, the car was traveling at a high initial velocity of 22 m/s and decelerated at a rate of -8 m/s^2, which resulted in a braking distance of 30.25 meters. If the initial velocity or the deceleration rate were different, the braking distance would also be different.
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18.9x{2x2.7}-4.6} - to the second power
The equivalent value to the expression 18.9 x [(2 x 2.7) - 4.6] - 2² is given by the following option:
C. 11.12.
How to obtain the equivalent value to the expression?The equivalent value to an expression is given by the solution to the expression.
The expression in this problem is given as follows:
18.9 x [(2 x 2.7) - 4.6] - 2²
The brackets take precedence, hence the first operation to be solved is of:
(2 x 2.7) - 4.6
The parenthesis take precedence relative to the subtraction, hence:
(2 x 2.7) - 4.6 = 5.4 - 4.6 = 0.8.
Then the expression is given by:
18.9 x [(2 x 2.7) - 4.6] - 2² = 18.9 x 0.8 - 2².
The square takes precedence, hence:
18.9 x 0.8 - 4.
Then the multiplication takes precedence, which means that the equivalent result is of:
18.9 x 0.8 - 4 = 15.12 - 4 = 11.12.
Given by option C.
Missing InformationThe problem is given by the image shown at the end of the answer.
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find the euler equation that represents the relationship between current-period consumption and future-period consumption in the optimum.
The Euler equation represents the relationship between current-period consumption and future-period consumption in the optimum. It is derived from intertemporal optimization in economics.
In the context of consumption, the Euler equation can be expressed as:
u'(Ct) = β * u'(Ct+1)
where:
- u'(Ct) represents the marginal utility of consumption in the current period,
- Ct represents current-period consumption,
- β is the discount factor representing the individual's time preference,
- u'(Ct+1) represents the marginal utility of consumption in the future period.
This equation states that the marginal utility of consumption in the current period is equal to the discounted marginal utility of consumption in the future period. It implies that individuals make consumption decisions by considering the trade-off between present and future utility.
Note: The Euler equation assumes a constant discount factor and a utility function that is differentiable and strictly concave.
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A grain silo is built from two right circular cones and a right circular cylinder with internal measurements represented by the figure above. Of the following, which is closest to the volume of the grain silo, in cubic feet?
A) 261.8
B) 785.4
C) 916.3
D) 1047.2
Important notice:
/\2 = Power 2
Answer:
D. 1,047.2
Step-by-step explanation:
The volume of the grain silo can be found by adding the volumes of all the solids of which it is composed.
The silo is made up of a cylinder with the height of 10 feet and base radius of 5 feet and two cones, each having the height of 5 feet and base radius of 5 feet.
The formulas volume of cylinder πr /\2 h and volume of cone 1/3 πr/\2h can be used to determine the tatol volume of the silo.
Since the two cones have identical dimensions, the total volume, in cubic feet, of the silo is:
V = π(5)/\2 (10) + (2) ( 1/3) π(5) /\2 (5)
= ( 4/3 ) (250)π
= 1,047.2 cubic feet.
mr. brown went grocery shopping to buy meat for his annual office picnic. he bought 7 3 4 pounds of hamburger, 17.85 pounds of chicken, and 6 1 2 pounds of steak. how many pounds of meat did mr. brown buy?
There are 32.1 pounds of meat.
Addition is an operation used in math to add numbers. The result that is obtained after addition is known as the sum of the given numbers. The addition symbol is one of the widely used math symbols. The addition symbol consists of one horizontal line and one vertical line. It is also known as the addition sign or the plus sign (+). The addition formula is the statement that shows an addition fact and is expressed as, addend + addend = sum. This can be understood with the help of the example shown in the figure given below. While adding numbers, if the sum of the addends is greater than 9 in any of the columns, we regroup this sum into tens and ones. Then we carry over the tens digit of the sum to the preceding column and write the ones digit of the sum in that particular column. In other words, we write only the number in 'ones place digit' in that particular column, while taking the 'tens place digit' to the column to the immediate left.
Add up the pounds of meat.
7.75 + 17.85 + 6.5 = 32.1 pounds
Thus, there are 32.1 pounds of meat.
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What type of solution is "one solution, no solution, infinite solution"?Explain.
a=14 one solution
47=94 no solution
12=12 inifinate many solution's
what type of solutions does this equation have
Answer:
2 imaginary solutions
Step-by-step explanation: