Which method would be the best to solve the following system of equations? {y=12x+6{−2x+4y=24 A) SubstitutionB) GraphingC) EliminationD)None of these methods will work
Answers
Given:
\(y=12x+6{\text{ and }−2x+4y=24}\)Required:
Which method would be the best to solve the following system of equations?
Explanation:
Substitution. method is correct answer.
Required answer:
Substitution. method is correct answer.
Related Questions
How do we solve this?
(No need to find x)
Answers
Answer:
Hi,
Step-by-step explanation:
We can't solve that but reduce it to the same denominator.
\(\dfrac{x+5}{x}+\dfrac{x+8}{x-1}\\\\=\dfrac{(x+5)(x-1)+x(x+8)}{x(x-1)}\\\\=\dfrac{x^2+5x-x-5+x^2+8x}{x(x-1)}\\\\=\dfrac{2x^2+12x-5}{x(x-1)}\\\)
you sailed 0.032 units to the left and found treasure at 0.248 units find where the ship started
Answers
construct a 99% confidence interval of the population proportion using the given information. x=240 n=300
Answers
Confidence interval for population proportion is
sample proportion +/- confidence coefficient*standard error of p
Sample proportion = p = x/n = 180/300 = 0.6
Confidence coefficient is the critical value of z for 95% confidence level = 1.96
Standard error of p = sqrt [p*(1-p)/n]
= sqrt [0.6*0.4/300]
= 0.0283
The CI is
0.6 +/- 1.96*0.0283
0.6 +/- 0.055
lower boundary is 0.6-0.055 = 0.545
upper boundary is 0.6+0.055 = 0.655
The CI is (0.545, 0.655)
Factor the expression.
g²r +
9²₂² - 6g²rs²t+
DONE
__jp²t)(
5422)
Answers
To factor the expression, we need to identify any common factors that can be pulled out of the terms.
The terms g²r and 9²₂² have a common factor of g². The terms 6g²rs²t and -6g²rs²t have a common factor of -6g²rs²t. The term 5422 does not have any factors in common with the other terms.
Therefore, the expression can be factored as:
(-6g²rs²t)(g²r + 9²₂²) + 5422
This is the fully factored form of the expression.
????
PLEASE HELPPPPP PLEASE so confused
Answers
Answer:
105°
Step-by-step explanation:
EFGH is an isosceles trapezoid (a trapezoid with congruent legs is an isosceles trapezoid)
∠G=75° (base angles of an isosceles trapezoid are congruent)
∠F=105° (same-side interior angles theorem)
what is the volume of the cylinder below height 15 radius 11
Answers
Answer:
πr^2 h
π(11)^2 (15)
= 1815π or = 5701
The domain of y = cosx is the set of real numbers. True False
Answers
Answer:
true
Step-by-step explanation:
A diphosphonate kit contian 180 mCi of Tc99m in 30 ml when it is prepared at 8am. Immediately, a 20 mCi dose is withdrawn for a bone scan. if the patient arrives late at 9:30 and half the volume is accidentally discharged, how much volume from the kit must now be added to the syringe to correct the dose to 20 mCi? (no other doses have been withdrawn meanwhile, and the decay factor for 1.5 hrs is 0.841)
Answers
The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = Initial activity * Decay factor
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = Initial activity - 20 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = Remaining activity * Decay factor
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30
Calculate the remaining volume at 9:30:
Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume
Let's perform the calculations step by step:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = 180 mCi * 0.841 = 151.38 mCi
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = 180 mCi - 20 mCi = 160 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30
Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml
Calculate the remaining volume at 9:30:
Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml
Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
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Find the work W done by a force of 3 pounds acting in the direction 60° to the horizontal in moving an object 4ft (0,0) to (4,0)
Answers
Answer:
\(\frac{3}{2}i + \frac{3\sqrt{3} }{2}\)j
Step-by-step explanation:
The work done by the force in moving the object is 10 ft-lb.
What is force?Force is an influence or interaction that can change the motion or shape of an object with mass.
It can be described as a push or a pull that has both magnitude and direction.
Force is equal to the product of the mass of the object and its acceleration.
Given,
F = 3 p
d = 4 ft
The work formula:
W = F x d
W = 4 p x cos 60° x 5 ft
= 10 ft lb.
Hence, the work done by the force in moving the object is 10 ft-lb.
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please explain what comparison you can state about the two angles and explain how you can draw that conclusion
Answers
The conclusion about angles B and C is that the angles are equal angles
How to determine the true statement?
The given parameters are:
Angle A and Angle B are supplements
Angle A and Angle C are supplements
Supplementary angles add up to 180 degrees.
This means that
A + B = 180
A + C = 180
Subtract the two equations
So, we have
A - A + B - C = 180- 180
Evaluate the like terms
So, we have
B - C = 0
Add C to both sides
B = C
Hence, both angles are congruent angles
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What percent of cupcake sales were more than 3 cupcakes, but less than 7 cupcakes?
Answers
9% is the answer trust me on this
{ (-2, 4), (0, 2), (-1, 3), (4, -2)}
The set of ordered pairs above:
DONE
Domain
-3
4
-1
5
Range
3
7
-2
The mapping diagram above:
DONE
y=x²
DONE
x
-3
-1
y
5
2
-1
The table above:
DONE ✔
Answers
The set of ordered pairs above: is a function.
The mapping diagram above: is a function.
y = x²: is a function.
The table above: is not a function.
What is a function?In Mathematics and Geometry, a function is a mathematical equation which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.
Based on the set of ordered pairs, mapping diagram, and the equation above, we can reasonably infer and logically deduce that it represent a function because the input values (domain, x-value, or independent values) are uniquely mapped to the output values (range, y-value or dependent values).
In this context, we can reasonably infer and logically deduce that the table does not represent a function because the input value (-1) has more than output values (2 and 4 respectively).
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Do not understand this question
Answers
Answer:
A, C
Step-by-step explanation:
You want all the shapes that are enlargements of shape X, which is 1 unit high and 3 units wide.
EnlargementAn enlargement of shape X multiplies each of its dimensions by the same factor. When it is enlarged by a factor of 2, the dimensions become ...
high : wide = 1 : 3 = 2 : 6 . . . . . . matches shape C
When it is enlarged by a factor of 3, the dimensions become ...
high : wide = 1 : 3 = 3 : 9 . . . . . . . matches shape A
The 2-high shape B is too short, being 4 1/2 wide instead of 6. Shape F is too long, being 7 wide instead of 6.
The 3-high shapes D and E are too short, being 8 and 5 wide instead of 9.
__
Additional comment
An enlargement preserves the aspect ratio of the shape, the height to width ratio. Here, that is 1:3. Any shape with a different aspect ratio is not an enlargement of X.
the angles of a regular pentagon are in the ratio 3 ratio 5 ratio 6 ratio 7 ratio 9.find all the angles
Answers
9514 1404 393
Answer:
54°, 90°, 108°, 126°, 162°
Step-by-step explanation:
The sum of angles in a pentagon is 180°(5 -2) = 540°.
The sum of ratio units is 3 +5 +6 +7 +9 = 30. So, each "ratio unit" stands for ...
540°/30 = 18°
Then the angles are found by multiplying the given ratios by 18°:
3 : 5 : 6 : 7 : 9 = 54° : 90° : 108° : 126° : 162°
Compare the best estimate for 1.789/178 and 0.05. Which is less?
Answers
Answer:
The smaller number in 0.01
Step-by-step explanation:
To find this answer, just take the fraction and find the quotient of both numbers.
1.789/178 = 0.01005056179
Now take the quotient and compare it to 0.05.
Is 0.01 larger or 0.05 - the answer is 0.01.
The woods behind Wendy’s house were 8 miles wide and have an area of 24 mi.² what is the length of the woods 
Answers
Answer:
48 miles
Step-by-step explanation:
i think thats it.
Answer: 4.
Step-by-step explanation: 8+8=16. count how many more until you get to 24, that is 8. Split 8 in half. We get 4.
Hope this helps!
Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answers
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
A customer's entire breakfast bill is $8. If the customer pays the server for the entire bill plus a 25% tip, what is total amount the customer pays?
A. $6
B. $10
C. $20
D. $32
Answers
Answer:
10
Step-by-step explanation:
Inso ice cream machines make a total of 320 gallons in a certain amount of time.
Working together for the same length of time, how many gallons of ice cream can 4
machines make?
Answers
The gallons of ice cream 4 machines can make is 650 gallons.
How to find the number of gallons of ice cream 4 machine can make?Two ice cream machines make a total of 320 gallons in a certain amount of time.
Working together for the same length of time, the number of gallons of ice creams 4 machine can make can be calculated as follows:
Therefore,
If 2 ice cream machine = 320 gallons
4 ice cream machine = ?
cross multiply
Hence,
gallons of ice cream made by 4 machines = 320 × 4 / 2
gallons of ice cream made by 4 machines = 1280 / 2\
Therefore,
gallons of ice cream made by 4 machines = 640 gallons
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HELP! WILL GIVE BRAINLIEST!
Answers
Answer:
(2x+16) + (x) = 180
Step-by-step explanation:
The opposite angles of a quadrilateral inscribed inside a circle will be supplementary angles, meaning that A+C=180, and B+D=180. A+C is not given in the answers below, but B+D is, so that is the correct answer.
Hope this helps! Please give brainliest!!
Answer:
C
Step-by-step explanation:
Opposite angles of a quadrilateral are supplementary
please help i’m in need for it bruh
Answers
Answer:
70.68 inch is the volume of the rectangular prism
Step-by-step explanation:
V = w × h × l
V = 3.8 inch × 3 inch × 6.2 inch
V = 70.68 inch is the volume of the rectangular prism
To check:
70.68 ÷ 3.8 ÷ 6.2 = 3 inch (height)
70.68 ÷ 6.2 ÷ 3 = 3.8 inch (width)
70.68 ÷ 3.8 ÷ 3 = 6.2 inch (length)
When Makayla runs the 400 meter dash, her finishing times are normally distributed with a mean of 75 seconds and a standard deviation of 1.5 seconds. What is the probability that in a given race, her finishing time will be between 75 and 78 seconds, to the nearest thousandth?
Answers
The probability that in a given race, her finishing time will be between 75 and 78 seconds, using the normal distribution, is of:
0.4772 = 47.72%.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.The mean and the standard deviation for the finishing times are given as follows:
\(\mu = 75, \sigma = 1.5\)
The probability that in a given race, her finishing time will be between 75 and 78 seconds, is the p-value of Z when X = 78 subtracted by the p-value of Z when X = 75, hence:
X = 78:
Z = (78 - 75)/1.5
Z = 2
Z = 2 has a p-value of 0.9772.
X = 75:
Z = (75 - 75)/1.5
Z = 0
Z = 0 has a p-value of 0.5.
0.9772 - 0.5 = 0.4772 = 47.72%.
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PLEASE HELP ASAP! So the answer I got for this problem is 50.26. Can someone make sure that is the correct answer? Please let me know how to solve this problem if it is wrong.
Answers
Answer:
Step-by-step explanation:
every thing looks good, except the question says "round" and soooooo, if you are rounding to the 2nd decimal place, then the next two decimal places are 54, or 50.2654 so, to round that, round up , so your final answer would look like 50.27 :) see?
9514 1404 393
Answer:
50.24 inches (or 50.2 inches)
Step-by-step explanation:
The formula for circumference in terms of radius is ...
C = 2πr
Using the given values for radius and for pi, the circumference is ...
C = 2(3.14)(8 in) = 50.24 in
__
Additional comment
If you use a more accurate value of pi, the rounded value is 50.27 in. That is not the value requested by this problem. It helps to follow directions.
If you like, you can round to 50.2, since only one decimal place is required in the result.
= 35 + 0 is which appropriate property
Answers
Answer:
The Identity Property of Zero, also called the Additive Identity Property, states that if you add
0
to any number, the result will be that number. Likewise, if you subtract
0
from any number, the result will be that number.
Part E
Open the parallel lines rotation application .The right set of parallel lines is a 90° rotation counterclockwise of the left set of
parallel lines. Click the 90° counterclockwise button. Are the two sets of parallel lines the same? What does this mean about
how parallel lines change when you rotate them?
Answers
Two sets of parallel lines continue to stay equidistant to each other in each set of parallel lines, this same parallel line at an angle to the Y-axis will not intersect the parallel line at an angle to the x-axis if they are extended infinitely.
What is Angle Translation?A translation is a type of transformation that involves sliding each point in a figure the same distance in the same direction. In geometry, translating something simply means moving it around. We do not alter it in any way. When we translate a segment, it remains a segment and its length remains constant. Similarly, when we translate an angle, the angle's measure remains constant.According to the given diagram:
Although the two sets of parallel lines in each set remain equidistant to each other, the parallel line at an angle to the Y-axis will not intersect the parallel line at an angle to the x-axis if they are extended infinitely.Therefore, two sets of parallel lines continue to stay equidistant to each other in each set of parallel lines, this same parallel line at an angle to the Y-axis will not intersect the parallel line at an angle to the x-axis if they are extended infinitely.
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14 644 552 + 25 625 568
ayud estoy haciendo tarea :3
Answers
Answer:
14644552+25625568
=40270120
Step-by-step explanation:
is right answer
Solve for t 8t-{(6t-1)/2}=5
I'm not sure how to go about a removing the fraction here. I'm 20 years rusty.
Answers
Answer:
t=9/10 Hope that helped
Armycee:)
Use the data set below to answer the following questions. 20 26 28 25 28 18 23 15 17 26 29 24 29 29 17 15 17 20 30 29 16 21 22 28 19
Approximately what percent of the data are greater than 28?
Approximately what percent of the data are less than 23?
Approximately what percent of data are greater than 17.5?
Approximately what percent of data are between 17.5 and 28?
Answers
Approximately 37.5% of the data are greater than 28, 33.3% of the data are less than 23, 91.7% of the data are greater than 17.5, and 62.5% of the data are between 17.5 and 28.
To answer the questions, we can analyze the given data set.
First, let's count the number of data points that satisfy each condition:
Greater than 28:
There are 9 data points greater than 28 (29, 29, 29, 30, 29, 29, 28, 28, 28).
Less than 23:
There are 8 data points less than 23 (20, 18, 15, 17, 17, 15, 17, 19).
Greater than 17.5:
There are 22 data points greater than 17.5.
Between 17.5 and 28:
There are 15 data points between 17.5 and 28.
Now, let's calculate the approximate percentage for each condition:
Percent greater than 28:
The total number of data points is 24. Approximately, 9 out of 24 data points are greater than 28.
Percentage =\((9 / 24) \times 100 = 37.5\)%.
Percent less than 23:
Approximately, 8 out of 24 data points are less than 23.
Percentage = \((8 / 24) \times 100 = 33.3\)%.
Percent greater than 17.5:
Approximately, 22 out of 24 data points are greater than 17.5.
Percentage = \((22 / 24) \times 100 = 91.7\)%.
Percent between 17.5 and 28:
Approximately, 15 out of 24 data points are between 17.5 and 28.
Percentage = \((15 / 24) \times 100 = 62.5\)%.
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Alvin is 10 years younger than Elga. The sum of their ages is 50 . What is Elga's age?
Answers
If x - 10 = y then y + y + 10) = 50
50 = 2y +10
Subtract ten from both sides
40 = 2y
Divide by 2
Y = 20
And remember x - 10 = y
Then x - 10 = 20
Add 10 to both sides
X = 30
ANSWER: Alvin is 20, Elga is 30
identify p, q, and r if necessary. Then translate each argument to symbols and use a truth table to decide if the argument is valid or invalid.
Answers
The argument is valid
Explanations:The condition is:
"If it snows, I can go snowboarding"
The given statement is:
"It did not snow, I cannot go snowboarding"
p = It snows
q = I can go snowboarding
An argumemt is invalid if true premises result in false conclusions
p is the premise
q is the conclusion
The truth table for the statement is shown below:
Since a false premise gives a false conclusion, the argument is valid
