Answer:
the answer is right below the picture sir ;-;
Step-by-step explanation:
Which ordered pairs are solutions to the equation 3x+12y=2?
Select the correct answer below:
A. (7,10)
B. (-8,-8)
C. (-7,4)
D. (-2,-4)
E. none of the above
Answer:
E
Step-by-step explanation:
Substitute each point into the equation to test whether they would equate to 2. Point a equates to 141, point b to -120, c to 27 and d to -54. Therefore, none of the points would correctly balance/be solutions to the equation
The solutions to the equation 3x + 12y = 2 is the option E. none of the above.
What is Equation?Equations are the mathematical expressions which consist of two expressions including one or more variables connected with an equal to sign.
We have to find the solution of the equation 3x + 12y = 2.
Substitute each ordered pairs given.
A. (7, 10)
(3 × 7) + (12 × 10 ) = 21 + 120 ≠ 2
B. (-8, -8)
(7 × -8) + (12 × -8) ≠ 2
C. (-7, 4)
(3 × -7) + (12 × 4) = -21 + 48 ≠ 2
D. (-2, -4)
(3 × -2) + (12 × -4) ≠ 2
So none of the ordered pairs satisfies the given equation.
Hence there is no solutions for the given equation in the options.
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Ms C's car uses 20 gallons of gas to travel 400 miles. If she currently has 3 gallons of gas in her car, how much gas is needed to travel 250 miles? Round your answer to the nearest tenth.
Using the concept of proportion, amount of gas needed to travel 250 miles is 9.5 gallons.
Given that,
Ms C's car uses 20 gallons of gas to travel 400 miles.
We have to first find the number of gallons of gas to be used to travel 250 miles.
Amount of gas used to travel 400 miles = 20 gallons
Using the concept of proportion,
Amount of gas used to travel 1 mile = 20 / 400
= 0.05 gallon
Amount of gas used to travel 250 miles = 0.05 × 250
= 12.5 gallons
There is already 3 gallons of gas in her car.
Amount of gas needed = 12.5 - 3 = 9.5 gallons
Hence the amount of gas needed is 9.5 gallons.
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A restaurant offers a lunch special for $12 plus $3 tip for the server. Which expression represents the total cost for the special help mee now
Answer:
$15
Step-by-step explanation:
12+3+15
Answer:
Bill Amount: $12
Tip Percent: 25%
Divide By: 1
= $15
Jordan has a part-time job which pays $75 a week. He has already saved $55 toward the purchase of a $400
could use to find the minimum number of weeks Jordan must work to have enough money to buy the iPhone.
Answer:
5 weeks
Step-by-step explanation:
75 w + 55 ≥ 400
75 w ≥ 345
15 w ≥ 69
w ≥ \(\frac{23}{5}\) = 4.6 weeks ⇒ the minimum number of weeks Jordan must work is 5 weeks
Find the letter that will be entry #123 in the sequence.
C,S,S,S,S,S,C,S,S,S,S,S
The letter at entry #123 will be S for the sequence C,S,S,S,S,S,C,S,S,S,S,S
The given sequence of letters is C,S,S,S,S,S,C,S,S,S,S,S
As per the given sequence, there are 12 letters in the sequence. To find the letter at #123 we continue the sequence till entry #120 or 10 iterations, the sequence will remain the same i.e C,S,S,S,S,S,C,S,S,S,S,S and then find the next 3 letters
So for entry #123, we will get the following value as per the sequence:
C,S,S
Hence, the letter at entry #123 will be S as per the given sequence of letters.
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How long would it take to run the 100-yard dash if you could average 10 yards/second?
Answer:
10 times
Step-by-step explanation:
10 times each b
Can someone please explain this by step by step? And give me the answer
Answer:
we know that q=-18
So if we see the fraction below it says q/3
We know that q is -18
Therefore, you substitute it in for q and you get
-18/3 which equals -6
the equation below represents the total price of Michigan State University per semester where c represents the number of classes and t represents the total cost for the semester including a one time fee for room and board
The equation that represents the total price of Michigan State University per semester is determined by the number of classes taken (c) and the total cost for the semester, which includes a one-time fee for room and board (t).
The equation captures the relationship between these variables and calculates the overall cost for a student attending the university. It is important to note that the equation provides a quantitative representation and does not take into account other factors such as scholarships, financial aid, or additional expenses. Therefore, the equation serves as a useful tool for estimating the total cost of attending Michigan State University, allowing students and their families to plan and budget accordingly for their education.For such more question on equation
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Solve for the value of a
Answer:
a= 90 i think
hope this helped
find the mean and median of each of the following sets of data. determine the deviation from the mean for each data point within the sets and find the mean deviation for each set. 24.49 24.68 24.77 24.83 24.73
The average distance from the mean is 0.09.
The mean is also known as the average and is calculated by adding up all the values in the set and then dividing the sum by the total number of values.
So, for the given set of data: 24.49, 24.68, 24.77, 24.83, 24.73, the mean would be calculated as follows:
Mean = (24.49 + 24.68 + 24.77 + 24.83 + 24.73) / 5
= 24.70
It tells us what the typical value is within the data set. In this case, the mean value of the data set is 24.70.
Next, let's find the median of the set of data. The median is the middle value of a data set when it is arranged in numerical order. In this case, the data set is already arranged in numerical order, so we can easily find the median.
The median value of the data set is the middle value, which is 24.77.
Now, we will calculate the deviation from the mean for each data point within the set. The deviation from the mean tells us how far each value is from the mean value. This is calculated by subtracting the mean from each value in the set.
Deviation from the mean for each data point:
-0.21, -0.02, 0.07, 0.13, 0.03
As you can see, some values are above the mean, and some are below the mean. The deviation from the mean can be used to determine how spread out the data is from the mean value.
Finally, we will calculate the mean deviation for the set. The mean deviation is the average of the absolute values of the deviation from the mean.
Mean deviation = (|(-0.21)| + |(-0.02)| + |0.07| + |0.13| + |0.03|) / 5
= 0.09
The mean deviation tells us the average distance from the mean value.
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5a) Express the number 482.073 in Expanded,
Standard, and Word Form?
Answer:
Step-by-step explanation:
5a) 482.073
Expanded form: 400 + 80 + 2 + 0.07 + 0.003
Standard form: 482.073
Word form: four hundred eighty-two and seventy-three thousandths.
Hope this helps!
In ANOP, NP is extended through point P to point Q, m_OPQ = (9x – 19)°,
mZPNO = (2x + 5), and mZNOP = (3x + 16º. Find mZNOP.
Answer:
The values of x and y are x = 6 and y = 9Step-by-step explanation:
MNOP is a parallelogram its diagonal MO and PN intersected at point A
In any parallelogram diagonals:
Bisect each other
Meet each other at their mid-point
In parallelogram MNOP
∵ MO and NP are its diagonal
∵ MO intersect NP at point A
- Point A is the mid-point pf them
∴ MO and NP bisect each other
∴ MA = AO
∴ PA = AN
∵ MA = x + 5
∵ AO = y + 2
- Equate them
∴ x + 5 = y + 2 ⇒ (1)
∵ PA = 3x
∵ AN = 2y
- Equate them
∴ 2y = 3x
- Divide both sides by 2
∴ y = 1.5x ⇒ (2)
Now we have a system of equations to solve it
Substitute y in equation (1) by equation (2)
∴ x + 5 = 1.5x + 2
- Subtract 1.5x from both sides
∴ - 0.5x + 5 = 2
- Subtract 5 from both sides
∴ - 0.5x = -3
- Divide both sides by - 0.5
∴ x = 6
- Substitute the value of x in equation (2) to find y
∵ y = 1.5(6)
∴ y = 9
The values of x and y are x = 6 and y = 9
Water leaks through a roof and collects in a bucket the table shows how many cups of water collect in the bucket for different numbers of hours
Answer: 1/5 pie = y
Step-by-step explanation:
Simplify:
2
(
3
x
)
+
(
x
+
10
)
2(3x)+(x+10)
Answer:
7x+10
Step-by-step explanation:
2x(3x)+1x(x+10)
6x+1x+10
7x+10
Please help me with this question and please show me step by step and the frmula used.
By interpretating the graph of a quadratic equation, the initial height of the ball is equal to 5 feet above ground.
How to determine the initial height of the ball
In this problem we must determine the initial height of the ball according to a graph, whose form resembles quadratic equations. Graphically speaking, the initial height is the y-coordinate of the y-intercept. First, the coordinates of the y-intercept of the equation are:
(t, h) = (0 s, 5 ft)
Second, the final height of the ball is equal to:
h = 5 ft
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b. Passes through the point (2, -4) and is parallel to 3x + y = 5
c. Passes through the point (2, -4) and is perpendicular to 3x + y = 5
keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above
\(3x+y=5\implies y=\stackrel{\stackrel{m}{\downarrow }}{-3}x+5\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)
so we're really looking for the equation of a line that has a slope oif -3 and it passes through (2 , -4)
\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ - 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{- 3}(x-\stackrel{x_1}{2}) \implies y +4 = - 3 ( x -2) \\\\\\ y+4=-3x+6\implies {\Large \begin{array}{llll} y=-3x+2 \end{array}}\)
now, keeping in mind that perpendicular lines have negative reciprocal slopes
\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ -3 \implies \cfrac{-3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-3} \implies \cfrac{1}{ 3 }}}\)
so for this one, we're looking for the equation of a line whose slope is 1/3 and it passes through (2 , -4)
\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{ \cfrac{1}{3}}(x-\stackrel{x_1}{2}) \implies y +4 = \cfrac{1}{3} ( x -2) \\\\\\ y+4=\cfrac{1}{3}x-\cfrac{2}{3}\implies y=\cfrac{1}{3}x-\cfrac{2}{3}-4\implies {\Large \begin{array}{llll} y=\cfrac{1}{3}x-\cfrac{14}{3} \end{array}}\)
Yes or No: Is this triangle a Right Triangle with side measures 21, 28, 35?
Answer:
yes
Step-by-step explanation:
Hello There!
In order for a right triangle to be a right triangle the hypotenuse ( longest side) squared must equal the sum of the two shorter sides squared
so if this is a right triangle then
\(21^2+28^2=35^2\\21^2=441\\28^2=784\\784+441=1225\\35^2=1225\\1225=1225\)
so as you can see 21^2+28^2 does = 35^2 so the side measures given do make a right triangle
1 Austin earned 47 out of 50 points on his math test. Marty earned a 92% on his math test. Who earned a higher score? Marty or Austin
Answer:
Austin earned a higher score
Step-by-step explanation:
47/50 (Austin's score) = 94/100 (denominator is now 100) = 94% (converted to percentage) > 92% (Marty's score)
Hope this helps!
Answer:
Austin earned a higher score.
Step-by-step explanation:
Marty 50 * 0.92 = 46 points
00:00
Which equations show you how to find 13 - 6?
A. 7 + 3 = 10, 10+ 3 = 13
B. 6 + 4 = 10, 10+ 4 = 14
C. 6+4 = 10, 10+ 3 = 13
D. 8+2 = 10, 10+ 3 = 13
PLEASE HELP
What is the equation of this trend line?
Enter your answers by filling in the boxes
N=_M+_
Answer:
N = -2M + 110
Step-by-step explanation:
Use the point (70, 20) and (50, 30) to find the slope. Use rise/run.
You go down 20 and right 10, so the rise/run is -20/10 which reduces to -2.
To find the y-intercept, go to the y axis and see where the intersects it which is 110.
N = -2M + 110
IR = V
(solve for R)
Answer:
The solution of the equation is \(R = \frac{V}{i}\).
Step-by-step explanation:
The previous equations is for the Ohm's Law, which states that current (\(i\)), measured in amperes, is directly proportional to the voltage (\(V\)), measured in volts:
\(V \propto i\)
The complete formula is:
\(I\cdot R = V\) (1)
Where \(R\) is the electric resistance, measured in ohms.
Solving for \(R\) means that we need to clear \(R\) within the formula, a process that will be presented step-by-step:
1) \(V = i\cdot R\) Given
2) \(V\cdot i^{-1} = (i\cdot R)\cdot i^{-1}\) Compatibility with multiplication.
3) \(V\cdot i^{-1} = R\cdot (i\cdot i^{-1})\) Commutative and associative properties.
4) \(V\cdot i^{-1} = R\cdot 1\) Existence of multiplicative inverse.
5) \(V\cdot i^{-1} = R\) Modulative property.
6) \(R = \frac{V}{i}\) Definition of division/Symmetric property/Result
The solution of the equation is \(R = \frac{V}{i}\).
solve for an unknown quantity in a two-variable linear equation, given one of the values. determine a two-variable linear equation that represents a scenario, identifying constraints on the variables in terms of the context.
A two variable linear equation means an equation having two variables. It is usually represented as ax+by =c. We can solve a two variable linear equation in many ways.
If the linear equation is only given, to solve it we have to calculate the x-intercept and y-intercept. It is one way of solving a two variable linear equation. Lets look into an example.
2x+5y = 19
The x intercept is when y=0,
then, 2x+ (5×0) = 20
2x = 20, x=10
y intercept is when x=0, then
2×0 + 5y = 20
5y = 20, y= 20/5 =4
So, by solving the equation, we get x=10 at x intercept and y=4 at y intercept.
If one the values are given , we can substitute it in the equation to calculate the other variable.
In the equation, 2x+3y= 12, if y=2, we can calculate by substituting.
2x + (3×2) = 12
2x = 12-6
2x = 6
x =3
So when y=2 then x=3.
Constraints are the restrictions on the domain of a linear equation, like a number of days or students should be a positive integer.
So, we can solve a two variable linear equation through different ways.
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Please help me answer this question, thanks!
The maximum revenue possible in this situation is 15625/A dollars, where A is the coefficient in the quadratic equation.
To find the maximum revenue possible in this situation, we can use the concept of vertex or the vertex form of a quadratic equation.
The revenue equation is given by R = -Ax^2 + 250x, where A is a constant coefficient.
The maximum revenue occurs at the vertex of the parabolic curve represented by the equation. The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation.
In this case, a = -A and b = 250. Plugging in these values, we get:
x = -250 / (2 * (-A))
= 125 / A
To find the maximum revenue, we substitute this value of x into the revenue equation:
R = -A * (125 / A)^2 + 250 * (125 / A)
= -A * (15625 / A^2) + (31250 / A)
= -15625 / A + 31250 / A
= 15625 / A
The maximum revenue is given by 15625 / A. The value of A is not specified in the question, so we cannot determine the exact maximum revenue without knowing the value of A. However, we can say that the maximum revenue increases as A decreases.
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a. NewBank started its first day of operations with $155 million in capital. A total of $92 million in checkable deposits is received. The bank makes a $28 million commercial loan and lends another $23 million in mortgage loans. If required reserves are 5.4%, what does the bank balance sheet look like?
b. Suppose NewBank decides to invest $273 million in 30-day T-bills. The T-bills are currently trading at $4,981 (including commissions) for a $4,940 face value instrument. How many T-bills do they purchase? What does the balance sheet look like?
The balance sheet attached shows the Total Assets to be $55.968M and Total Liabilities and Capital to be $252M respectively.
Understanding Balance Sheet1. Assets:
a. Cash in Reserves:
The required reserves are 5.4% of checkable deposits.
Therefore, the required reserves amount to 5.4% of $92 million, which is:
(0.054 * $92 million) = $4.968 million.
This amount is considered a liability for the bank, but it is held as an asset in the form of cash reserves.
b. Loans: The bank made a $28 million commercial loan and a $23 million mortgage loan. Therefore, the total loans amount to:
total loan = $28 million + $23 million
= $51 million.
2. Liabilities:
a. Checkable Deposits:
The bank received $92 million in checkable deposits.
b. Required Reserves:
As mentioned above, the required reserves amount to $4.968 million.
3. Capital:
The bank started with $155 million in capital.
Based on the above information, the bank's balance sheet would look as attached.
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the response times for a certain ambulance company are normally distributed with a mean of 13 minutes.95% of the response times are between 10 and 16 minutes
The average response time for the ambulance company is 13 minutes, with 95% of response times falling between 10 and 16 minutes.
The response times for a specific ambulance company follow a normal distribution with a mean of 13 minutes. This means that the majority of response times will cluster around the average of 13 minutes.
Furthermore, we know that 95% of the response times fall within the range of 10 to 16 minutes. This suggests that the response times are relatively consistent, with only a small percentage of outliers falling outside this range.
In summary, the average response time for this ambulance company is 13 minutes, and 95% of their response times fall between 10 and 16 minutes.
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Question 12 of 22
Select the action you would use to solve = 16. Then select the property that
justifies that action.
A. Property: Multiplication property of equality.
B. Action: Add 4 to both sides.
C. Property: Addition property of equality.
D. Action: Divide both sides by 4.
E. Property: Division property of equality.
OF Action: Multiply both sides by 4.
Answer:
The correct answer is:
D. Action: Divide both sides by 4.
E. Property: Division property of equality.
Everyone in the population must have an of being selected in order for a sample to be an
Answer: Everyone in your population must have an equal, non-zero chance of being selected. (In other words, everyone has an equal chance of receiving a survey.) You must know, specifically, what that chance of being selected is for each person.
I don't know how to do.
Sets Sets M and Fare defined as follows: M = {a,b,c,d} F = {c, d, e, f} Find the intersection of M and F.
The intersection of sets M and F contains the elements "c" and "d".
To find the intersection of sets M and F, we need to identify the elements that are common to both sets.
M = {a, b, c, d}
F = {c, d, e, f}
The intersection of M
and F is denoted by M ∩ F, which represents the set containing elements that are present in both M and F.
Looking at the elements in M and F, we can see that the common elements between the two sets are "c" and "d".
Therefore, the intersection of M and F can be expressed as:
M ∩ F = {c, d}
So, the intersection of sets M and F contains the elements "c" and "d".
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T(x,y,z)=x^2yz^3 với M(1,1,1)
Answer:
A= (2xy^2)^3. (-1/2x^2yz) (gạch chéo là phần)
B=(-4x3y2z)( x2y3)3xy
Step-by-step explanation:
ok :)