One number is 5 less than twice another
number. If the sum of the numbers is 7, find
both numbers
Answers
Answer:
4 and 3
Step-by-step explanation:
You can create an equation with this. If your first number is y and your second is x, then we know that y is 5 less than 2x. This leads to your equation - y = 2x - 5.
With your equation, you can then figure out your numbers; we know there's a limited number of possibilities - anything 7 or less added to a number can equal 7 so:
7+0=7
6+1=7
5+2=7
4+3=7
3+4=7
2+5=7
1+6=7
0+7=7
From there, plug in one number for x and see if y matches the expected number. For example:
2(7)-5=9, so we know the 7,0 combination cannot be correct. As we go through the list, we find that 4,3 works:
2(4)-5=3
Related Questions
Consider the plate dealt with in Example 8.1. Plot has a function of the angle of inclination of the plate as the hot side is tilted both upward and downward over the range +90°. Note that you must make do with discontinuous formulæ in different ranges of 0.
Answers
The question refers to the plot of the plate's function of the angle of inclination. When the hot side is tilted both upward and downward over the range of +90°, the discontinuous formulas must be used in different ranges of 0.
It refers to the plot of the function of the angle of inclination of a plate. It is a graph that shows the relationship between the angle of inclination and the plate's function. A plate is tilted on its hot side both upward and downward over a range of +90°. The graph shows that different discontinuous formulas are needed for different ranges of 0. A discontinuous formula refers to a formula that consists of two or more parts, each with a different equation. The two or more parts of a discontinuous formula have different ranges, such that each range requires a different equation. These formulas are used in cases where the same equation cannot be applied throughout the entire range.
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hi! heres my question:find 3 consecutive integers, with the second and third adding up to -17i tried it on my own and got this:a = (-7)a + (-1) = (-8)a + (-2) = (-9)
Answers
We are given the following information:
\(\begin{gathered} \text{Let the first integer be represented as ''x''} \\ \text{Let the second integer be represented as ''x+1''} \\ \text{Let the third integer be represented as ''x+2''} \\ \text{The sum of the 3 integers is given by:} \\ x+x+1+x+2=-17 \\ 3x+3=-17 \\ \text{Subtract ''3'' from both sides, we have:} \\ 3x=-17-3 \\ 3x=-20 \\ \text{Divide both sides by ''3'', we have:} \\ x=-\frac{20}{3} \\ x=-6\frac{2}{3} \\ x+1=-5\frac{2}{3} \\ x+2=-4\frac{2}{3} \end{gathered}\)The value of ''x'' is not an integer.
This, therefore, means that there is no true solution to the question
2. A real estate agent is showing homes to a prospective buyer. There are ten homes in the desired price range listed in the area. The buyer has time to visit only four of them. a. In how many ways could the four homes be chosen if the order of visiting is considered? ( 5 points) b. In how many ways could the four homes be chosen if the order is disregarded? c. If four of the homes are new and six have previously been occupied and if the four homes to visit are randomly chosen, what is the probability that all four are new? (Order is considered.)
Answers
a. The total number of ways the four homes can be chosen, considering the order of visiting, is 5040
b. The number of ways the four homes can be chosen without considering the order of visiting is 210
c. the probability of selecting all four new homes out of the four randomly chosen homes is 1/120
a) The total number of ways four homes can be chosen out of ten is given by the combination C(10, 4), which is equal to 210. Each of these 210 sets can be visited in 4! (four factorial) ways, which is equal to 24.
Therefore, the total number of ways the four homes can be chosen, considering the order of visiting, is given by 210 * 24 = 5040.
b) The number of ways the four homes can be chosen without considering the order of visiting is given by the combination C(10, 4), which is equal to 210.
c) The probability of selecting one new home out of four homes is 4/10.
Therefore, the probability of selecting all four new homes out of the four randomly chosen homes is (4/10) * (3/9) * (2/8) * (1/7) = 1/210.
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ATTENTION: TRY YOUR HARDEST AND ILL GIVE YOU BRAINLIEST!!!I need the most accurate answers, so only try if you know it: Ill give you brainliest x 4 if you are correct, for number 2 you need to do 1. A line goes through points (7, 3) and (-1,5). Write the equation of the line in POINT-Slope FORM. Show your work, so please hand write it, circle your answer! 2. A line goes through the points (7,3) and (-1,5). write the equation of the line in slope intercept form. Show your work so hand write it please, and attach it to your answer, circle your answer!. 3. Does the point (-4,3) fall on the graph of this line? (the line described in questions #1 and #2). How do you know? Show your work __________ALGEBRAICALLY. (That is, dont draw me a graph... show me using numbers, variables, and/or symbols). PLEASE TRY TO GET DONE TODAY ACCURATE ANSWERS ONLY
Answers
Answer:
waa ;-;
Step-by-step explanation:
sorry ill put it here monday
Answer:
;0
Step-by-step explanation:
hi
The standard deviation of a binomial distribution is: A. square of npq B. npq C. np D. square root of npq
Answers
The standard deviation for a binomial probability distribution is : √npq.
The correct option is (D) i.e., square root of npq
The standard deviation of a random variable, sample, statistical population, data set or probability distribution is the square root of its variance.
For a binomial distribution,
µ = np, which signifies the expected number of successes.
\(\sigma^2\) = npq , \(\sigma^2\) is the variance.
Since, the standard deviation is the square root of the variance,
Therefore, σ = Standard deviation = √npq
Thus, the standard deviation for a binomial probability distribution is given by √npq.
The correct option is (D)
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Which table has a constant of proportionality between y and c of 3/4?
Answers
Answer:
answer Is A.............
Use the method of undetermined coefficients to solve the differential equation d²y dx² + a²y = cos bx, given that a and b are nonzero integers where a ‡ b. Write the solution in terms of a and b.
Answers
The general solution to the differential equation is given by y(x) = y_c(x) + y_p(x), where y_c(x) is the complementary solution and y_p(x) is the particular solution obtained using the method of undetermined coefficients.
Taking the second derivative of y_p(x), we have:
d²y_p/dx² = -Ab²cos(bx) - Bb²sin(bx)
Substituting this back into the differential equation, we get:
(-Ab²cos(bx) - Bb²sin(bx)) + a²(Acos(bx) + Bsin(bx)) = cos(bx)
For this equation to hold, the coefficients of cos(bx) and sin(bx) must be equal on both sides. Therefore, we have the following equations:
-Ab² + a²A = 1 ... (1)
-Bb² + a²B = 0 ... (2)
Solving equations (1) and (2) simultaneously for A and B, we can express the particular solution y_p(x) in terms of a and b.
The complementary solution y_c(x) can be found by solving the homogeneous equation d²y/dx² + a²y = 0, which yields y_c(x) = C₁cos(ax) + C₂sin(ax), where C₁ and C₂ are constants.
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Write an equation in slope intercept form that goes through (-1,6) and (3,-2)
Answers
First, we need to use slope formula* to find the slope.
\(m = \frac{-2 - 6}{3 - (-1)} = \frac{-8}{4} = -2\)
Second, we use the slope we found and ONE of the 2 points listed and plug it into slope-intercept form** to solve for b.
Here is what we have so far:
\(m = -2\)I'm going to use this point:
\(x = 3\)\(y = -2\)Here is how to find b:
\(-2 = -2(3) + b\\\\-2 = -6 + b\\\\4 = b\)
Finally, we put all of it together and we have our equation.
\(y = -2x + b\)
*Slope formula: m = y₂ - y₁/x₂ - x₁
**Slope-intercept form: y = mx + b
If CP=Rs 500 and SP=550.find profit and profit percent%.
Answers
Step-by-step explanation:
Given:-CP=500
SP=550
To find:-Profit and profit%
Solution:-CP =500SP=550We know that
\(\boxed{\sf Profit=SP-CP}\)
\(\\ \tt{:}\leadsto Profit=550-500\)
\(\\ \tt{:}\leadsto Profit=Rs.50\)
And\(\boxed{\sf Profit\%=\dfrac{Profit}{CP}\times 100}\)
\(\\ \tt{:}\leadsto Profit\%=\dfrac{50}{500}\times{100}\)
\(\\ \tt{:}\leadsto Profit\%=\dfrac{50}{5}\)
\(\\ \tt{:}\leadsto Profit\%=10\%\)
\(\sf Key\:notes\begin{cases}\sf\mapsto CP=cost\: price \\ \sf \mapsto SP=Sold\:price\end{cases}\)
Dave and martin have weet in the ratio of 2:3 martin give dave 15 weet how many weet doe dave have now
Answers
Answer:
This question is missing some parts, but Dave could have:
- Dave 25 weets, Martin 0 weets
- Dave 27 weets, Martin 3 weets
- Dave 29 weets, Martin 6 weets
- Dave 31 weets, Martin 9 weets
...
Step-by-step explanation:
Since we don't really have much information, we can only rely on the ratio to pull through. Assuming that the ratio is refering to 2 (Dave) : 3 (Martin), we can multiply both by whatever number to get whatever total weets they might have.
Since Martin gives Dave 15 weets, that means that Martin has to have at least 15 weets. So we have to multiply the ratio (Dave and Martin both) with 5+ to get whatever total amount of weets they each have.
So (2/3)(5/5) that Dave might have 10 weets and Martin might have 15 weets. Then when Martin gives Dave 15 weets, Dave'll have 25 weets and Martin 0.
But there's no other information on the total number of weets or anything so Dave may have 25, 27, 29, 31, etc weets.
9/63 (equal to less than or greater than) 1/7 please help i only have 3 minutes
Answers
Answer:
9/63 equal to 1/7
9/63
=(9/9)*(1/7)
=1*(1/7)
=1/7
this is section 3.1 problem 14: for y=f(x)=− 2 x , x=2, and δx=0.2 : δy= , and f'(x)δx . round to three decimal places unless the exact answer has less decimal places.
Answers
The derivative of f(x) is f'(x) = -2, so we can substitute these values into the formula to get δy = -2 * 0.2 = -0.4.
How to calculate the change in the output variable y?This problem involves using the concept of the derivative to calculate the change in the output variable y, given a small change in the input variable x.
Specifically, we are given the function y = f(x) = -2x, the value of x at which we want to evaluate the change, x = 2, and the size of the change in x, δx = 0.2.
To find the corresponding change in y, δy, we can use the formula δy = f'(x) * δx, where f'(x) is the derivative of f(x) evaluated at x.
In this case, the derivative of f(x) is f'(x) = -2, so we can substitute these values into the formula to get δy = -2 * 0.2 = -0.4.
This tells us that a small increase of 0.2 in x will result in a decrease of 0.4 in y, since the derivative of the function is negative.
This problem illustrates the concept of local linearization, which is the approximation of a nonlinear function by a linear function in a small region around a point.
The derivative of the function at a point gives us the slope of the tangent line to the function at that point, and this slope can be used to approximate the function in a small region around the point.
This approximation can be useful for estimating changes in the output variable given small changes in the input variable.
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La ciudadde osaka japon se encuentra a (9x10 elevado a 6 )+ (6x10 elevado a 5)+ (8x10 elevado a 3+ (8x10 elevado a 2)+ 7x10 de milan italia
a) expresa los datos en kilometros
b)¿ que distancia habra recorrido un avion q salio de milan a osaka y se encuentra aun tercio de su destino???
Answers
Answer:
A
Step-by-step explanation:
tom works for a company
his normal rate of pay is £15 per hour
Answers
Answer:
£ 185
Step-by-step explanation:
Tama po yan promise
Find at least three different sequences beginning with the terms 3, 5, 7 whose terms are generated by a simple formula or rule.
Answers
Answer:
3 5,7,9,11,13,16,17 19,21,23,25,27,29
I am confused and dont know what to do .....
Answers
Answer:
Try negative 10
Step-by-step explanation:
I took the test
a baseball player's batting average is found by dividing the number of hits by the number of times at bat. this number is then rounded to the nearest thousandth. find the player's batting average. cole becker was at bat 9 times with 3 hits.
Answers
The player's batting average is 0.333.
The baseball player's batting average is found by dividing the number of hits by the number of times at bat. This number is then rounded to the nearest thousandth.
The question states that Cole Becker was at bat nine times with three hits.
To determine the player's batting average, divide the number of hits by the number of times at bat. A calculator can be used to compute this, and the result can be rounded to the nearest thousandth.
Batting Average = Number of hits/Number of times at bat
Batting Average = 3/9
Batting Average = 0.33333333...
Rounded to the nearest thousandth, the player's batting average is 0.333.
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a test developer asks five clinicians who are experts in depression to rank 100 depressed clients on a 1 to 5 scale from minor depression to severe depression. the rankings are then correlated with test scores on a new test of depression. what kind of validity is being measured?
Answers
The concurrent validity, is being measured.
What is concurrent validity?
A sort of proof that can be gathered to support the use of a test for forecasting other outcomes is concurrent validity. It's a variable that's employed in sociology, psychology, and other behavioural or psychometric sciences.
As, a test developer asks five clinicians who are experts in depression to rank 100 depressed clients on a 1 to 5 scale from minor depression to severe depression. the rankings are then correlated with test scores on a new test of depression.
So, the concurrent validity is being measured.
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please answer: A city held an election for mayor. This table shows the number of votes that were cast by people in different age groups.
How many more votes were cast by people in the 56 and up age group than by people in the 18 to 35 and 36 to 55 age groups combined?
Answers
3,638 more votes were cast by people in the 56 and up age group than by people in the 18 to 35 and 36 to 55 age groups combined.
How to obtain the amounts?From the table, the amount of votes for each age range is given as follows:
18 to 35 years: 10,673 votes.36 to 55 years: 21,372 votes.56 and up: 35,683 votes.The combined amount of votes of people in the 18 to 35 and 36 to 55 age groups is given as follows:
10673 + 21372 = 32,045 votes.
Then the difference in the number of votes of people in the 56 and up age range is given as follows:
35683 - 32045 = 3,638.
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Answer:
3,638 votes more than 18 to 35 and 36 to 55.
Step-by-step explanation:
you subtract and you add
A sheet of plastic has an area of 35 square cm. If the sheet is 5 cm thick, what is the volume?
Answers
Answer:
175 cm³
Step-by-step explanation:
Volume = área * thick
Volume = 35cm² * 5cn
Volume = 175 cm³
Answer:
7cm
Step-by-step explanation:
Area = 35cm²
Length= 5cm
Width=?
A=L×B
B=A/L
B=35/5
B=7cm
bondable, inc. issued $100,000, 10-year, 9% bonds that pay interest annually on january 1 when the going market interest rate was 10%. the issue (sale) price of the bonds equals
Answers
The issue price of Bondable Inc.'s $100,000, 10-year, 9% bonds that pay interest annually on January 1, when the going market interest rate was 10%, was $92,582.
Bond prices are determined by the market interest rates prevailing at the time of issuance. When the market interest rates rise, bond prices fall, and vice versa. In this case, Bondable Inc. issued 10-year bonds with a face value of $100,000 and a coupon rate of 9% that pays interest annually on January 1. However, the market interest rate was 10% at the time of issuance.
To calculate the issue price of the bonds, we need to use the present value formula, which discounts the future cash flows of the bond at the market interest rate. The formula is:
PV = (C / r) x [1 - 1 / (1 + r)^n] + F / (1 + r)^n
Where:
PV = Present value of the bond
C = Annual coupon payment
r = Market interest rate
n = Number of periods
F = Face value of the bond
Using this formula, we can calculate the present value of the bond as follows:
PV = ($9,000 / 0.10) x [1 - 1 / (1 + 0.10)^10] + $100,000 / (1 + 0.10)^10
PV = $59,383.11 + $33,198.44
PV = $92,581.55
Therefore, the issue price of the bonds was $92,582, which is lower than the face value of $100,000. This is because the market interest rate was higher than the coupon rate of the bonds, making them less attractive to investors. The lower issue price compensates investors for the lower interest rate they will receive compared to the market rate.
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11. Tom is making a triangular enclosure in his yard. He plans on using two old fence posts as vertices, and will place a new fence post for the third vertex. The old posts are located at (- 5, 4) and (2, 6) , where the coordinates are given in feet. If he has 25 feet total of wire fencing available to close off the area , how much wire fencing will he have left, after he connects the two posts he has already placed ?
Answers
Answer:
18 Feet of fencing
Step-by-step explanation:
hope this helps
Help me please please please
Answers
2. 0.54
3. 0.1875
4. 0.25
5. 016
Answer:
see below
Step-by-step explanation:
\(\frac{15}{20} = \frac{3}{4} = 0.75\)
\(\frac{6}{11} = 0.545455\)
\(\frac{3}{16} = 0.1875\)
\(\frac{4}{16} = \frac{1}{4} = 0.25, 2^{-2}\)
\(\frac{2}{12} = \frac{1}{6} = 0.16 (with-a-dot-over-the-6-from-16), 6^{-1}\)
hope I could help
Solve the equation 6x +2y = 10 for y in terms of x gives what function?
y = -6x +10
y = -3x +5
y = 2x
y = 3x + 5
Answers
Answer:
y = - 3x + 5
Step-by-step explanation:
Given
6x + 2y = 10 ( subtract 6x from both sides )
2y = - 6x + 10 ( divide all terms by 2 )
y = - 3x + 5
The correct equation for y in terms of x would be, y = - 3x + 5
Hence, option 2 is true.
Used the concept of an equation that states that,
An equation is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.
Given that the expression is,
6x + 2y = 10
Now, simplify the equation for y in terms of x as,
6x + 2y = 10
Subtract both sides by 6x,
2y = - 6x + 10
Divide both sides by 2,
y = - 3x + 5
So, The correct equation would be, y = - 3x + 5
Thus, option 2 is true.
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state the measurement of <1
Answers
Answer:
57 degrees
Step-by-step explanation:
because it is the same as the other side
Find the slope of the line that passes through (8,6) and (4,15)
Answers
4. You want to use ribbon to create a border along the edge of the paper. The length of the paper is 2 times as long as the width. How much ribbon do you need to create the border? O 41/2 feet O 43/5 feet O 41/4 feet 4 4/5 feet
Answers
The amount of ribbon you need to create the border is 4 1/4 feet if x = 17/24
How much ribbon do you need to create the border?From the question, we have the following parameters that can be used in our computation:
The length of the paper is 2 times as long as the width
This means that
Length = 2x
Width = x
The perimeter is
Perimeter = 2 * (2x + x)
Perimeter = 6x
Assuming that x = 17/24
So, we have
Perimeter = 6 * 17/24
Evaluate
Perimeter = 17/4
Simplify
Perimeter = 4 1/4
Hence, the amount needed is 4 1/4 feet
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The sum of 3 consecutive integers is equal to-84
Answers
Answer:
x + ( x + 1 ) + ( x + 2 ) = -84
Step-by-step explanation:
I'm assuming you are asking what this word problem would look like as an equation. If you need someone to solve it, let me know I can do that.
compare the fit function parameter b to the time constant in equations 2 and 3. how are they related?
Answers
The fit function parameter b is related to the time constant in equations 2 and 3 in that they both represent the rate at which a system changes over time.
The time constant is a measure of how quickly a system responds to a change in input, while the fit function parameter b is a measure of how quickly the system's output changes in response to a change in input.
In equation 2, the time constant is represented by the term τ, while in equation 3, it is represented by the term T. Both of these terms are used to describe the rate at which the system's output changes in response to a change in input. The fit function parameter b is also used to describe this rate of change, and is therefore related to the time constant in both equations.
In conclusion, the fit function parameter b is related to the time constant in equations 2 and 3 in that they both represent the rate at which a system changes over time. The time constant is a measure of how quickly a system responds to a change in input, while the fit function parameter b is a measure of how quickly the system's output changes in response to a change in input.
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While playing a game of chance, Mei rolled a regular six-sided die 100 times and noticed that it landed on the number 4 exactly 48 times. What could Mei conclude about the die?
We are 90% confident that the true proportion of times the die would land on the number 4 is between 0. 398 and 0. 562. Since this includes 0. 5, the die appears to be fair. We are 90% confident that the true proportion of times the die would land on the number 4 is between 0. 398 and 0. 562. Since this is much greater than 1 out of 6, the die appears to be unfair. We are 90% confident that the true proportion of times the die would land on the number 4 is between 0. 382 and 0. 578. Since this is much greater than 1 out of 6, the die appears to be unfair. We are 90% confident that the true proportion of times the die would land on the number 4 is between 0. 382 and 0. 578. Since this includes 0. 5, the die appears to be fair
Answers
Mei concluded that
We are 90% confident that the true proportion of times the die would land on the number 4 is between 0.398 and 0.562. Since this includes 0.5, the die appears to be fair.
It is based on a statistical analysis of the data collected by Mei.
The proportion of times the die landed on the number 4 is calculated as 48/100 = 0.48.
Using a statistical method called a confidence interval, we can estimate the range of values that the true proportion of times the die would land on the number 4 is likely to fall within, with 90% confidence.
The confidence interval calculated for this data is 0.398 to 0.562.
Since this interval includes the value of 0.5 (which would be the proportion of times a fair die would land on the number 4), By using statistical method we cannot reject the hypothesis that the die is fair.
Hence,
By using statistical method, we can conclude that the die would land on the number 4 is between 0.398 and 0.562 as 0.5 the die appears to be fair.
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