The sum of two numbers is 5 and the larger difference of the two numbers is 39 find the two numbers by setting up a system of equations with two unknowns and solving algebraically
Answers
The larger number is 22 while the smaller number is -17.
Let x represent the larger number and y represent the smaller number.
The sum of two numbers is 5, hence:
x + y = 5 (1)
The larger difference of the two numbers is 39, hence:
x - y = 39 (2)
Solving equations 1 and 2 simultaneously gives:
x = 22, y = -17
Therefore the larger number is 22 while the smaller number is -17.
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Related Questions
n homeroom, 3 of the 16 girls have red hair and 2 of the 15 boys have red hair. what is the probability of selecting a boy or a red-haired person as homeroom representative to student council
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To calculate the probability of selecting a boy or a red-haired person as a homeroom representative to student council, we need to find the probability of each event and then use the formula P(A or B) = P(A) + P(B) - P(A and B).
There are 31 students in total (16 girls + 15 boys). The probability of selecting a boy is 15/31.
There are 5 red-haired students (3 girls + 2 boys). The probability of selecting a red-haired person is 5/31.
However, we need to account for the overlap between boys and red-haired students. There are 2 red-haired boys, so the probability of selecting a red-haired boy is 2/31.
Now we can use the formula: P(boy or red-haired) = P(boy) + P(red-haired) - P(boy and red-haired) = (15/31) + (5/31) - (2/31) = 18/31.
So, the probability of selecting a boy or a red-haired person as a homeroom representative to student council is 18/31.
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Please help quick need it done now
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answer
step by step explanation
you have $2.30 and would like to buy some rice flour. if a pound costs $4, how many ounces can you buy?
Answers
You have $2.30 and would like to buy some rice flour buy 9.2 ounces of rice flour with $2.30.
To arrive at this answer, we need to first convert the price per pound to price per ounce. There are 16 ounces in a pound, so the price per ounce is $4/16 = $0.25 per ounce.
Next, we divide the amount of money you have ($2.30) by the price per ounce ($0.25).
$2.30/$0.25 = 9.2 ounces.
Therefore, the conclusion is that you can buy 9.2 ounces of rice flour with $2.30.
Hi! I'm happy to help you with your question.
You can buy 9.2 ounces of rice flour.
1. First, we need to find out how many dollars you have per ounce of rice flour: $4 per pound / 16 ounces per pound = $0.25 per ounce.
2. Next, we'll determine how many ounces of rice flour you can buy with $2.30: $2.30 / $0.25 per ounce = 9.2 ounces.
With $2.30, you can buy 9.2 ounces of rice flour at the given price of $4 per pound.
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Write an inequality, in slope-intercept form, for the graph below. If necessary,use "<=" for sor">=" for >.5(-3,0)5(0, -3)
Answers
we need to find the line equation for the dashed line. Since we have 2 points of the line, its slope is
\(\begin{gathered} m=\frac{-3-0}{0-(-3)} \\ m=\frac{-3}{3} \\ m=-1 \end{gathered}\)where we used the slope formula:
\(m=\frac{y_2-y_1}{x_2-x_1}\)Then, our searched line has the form:
\(y=-x+b\)where b is the y-intercept. We can finde b by substituting point (0,-3) into the last equation:
\(\begin{gathered} -3=-(0)+b \\ b=-3 \end{gathered}\)then, the searched line in slope-intercept form is
\(y=-x-3\)Therfore, the given area can be modeled as
\(y>-x-3\)because when a line is dashed it doesn't belong to the given area.
The following graph shows the time required to install fencing of different lengths. 1 1 2 2 3 3 4 4 5 5 20 20 40 40 60 60 80 80 100 100Time (hours)Length of fencing (meters) Which statements about the graph are true? Choose all answers that apply:
Answers
Answer:
b is the answer
Step-by-step explanation:
4 is hours and 60 m
Answer:
The answer is B
Step-by-step explanation:
"The point shows (4,60) shows that it takes 4 hours to install 60m of fencing"
I did this on khan too
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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each scenario with its effect on the PPC.
Answers
These are the effect on the PPC
1st pairs with a point original to PPC. and 2nd pairs with PPC shifts to the left. and 3rd pair with PPC shifts to the right.
According to the statement
we have given the some conditions and we have to match the each scenario with the effect of the PPC.
So, The given effect on the tiles are Tiles
- the PPC shifts to the right
- the PPC shifts to the left
- a point on the original PPC
- a point inside the PPC
- a point outside the PPC
And we have to join it with its pairs.
So,
First :
A manufacturing unit uses all its resources efficiently = A point on the original PPC
Second :
Andrew has 5 hours to complete his homework but uses only 3 hours, so he doesn’t complete it. = The PPC shifts to the left
Third :
A country acquires part of its neighboring country = The PPC shifts to the right
These are the conditions that satisfy the effect of PPC.
So, These are the effect on the PPC
1st pairs with a point original to PPC. and 2nd pairs with PPC shifts to the left. and 3rd pair with PPC shifts to the right.
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Disclaimer: This question was incomplete. Please find the full content below.
Question:
Match each scenario with its effect on the PPC.
Tiles
- the PPC shifts to the right
- the PPC shifts to the left
- a point on the original PPC
- a point inside the PPC
- a point outside the PPC
Pairs
- A manufacturing unit uses all its
resources efficiently.
- Andrew has 5 hours to complete his
homework but uses only 3 hours, so
he doesn’t complete it.
- A country acquires part of its neighboring
country.
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^it doesn't need to be this complicated
Each month, a phone company charges $20 for 500 minutes of talk time plus $0.45 for each additional minute. Unlimited texting costs $30 more. Choose an expression to show the cost of a talk-and-texting plan for one month, given x minutes over 500.
Answers
and texting = 30
and each additional minute of talk = 0.45
then the bill would be (for C = total cost)
C = 20+30+(0.45 • x)
OR
C = 50 + 0.45x
Please mark brainliest if right!
Hope it helps
Answer:
50+45x
Step-by-step explanation:
The line l passes through the points
(-2,2) and (5,1)
Find the gradient of line l
Answers
Step-by-step explanation:
gradient (m) = y2 - y1 / x2 -x1.
(-2 =x1, 2 =y1) and ( 5 = x2 , 1 = y2).
plug in the values and solve...
m = 1-2 / 5-(-2)
m = -1 / 5+2
m = -1/7 or -0.14.
Hope this helps.
Good luck.
What Value of x will make this equation true??
51 – 14x = 4 – 4x
Answers
Answer:
x = 47/10
Step-by-step explanation:
Step 1: Write equation
51 - 14x = 4 - 4x
Step 2: Solve for x
Add 14x to both sides: 51 = 4 + 10xSubtract 4 on both sides: 47 = 10xDivide both sides by 10: x = 47/10Answer:
\(\boxed {x = \frac{47}{10}}\)
Step-by-step explanation:
Solve for the value of \(x\):
\(51 - 14x = 4 - 4x\)
-Take \(4x\) and add it to \(-14x\):
\(51 - 14x + 4x = 4 - 4x + 4x\)
\(51 - 10x = 4\)
-Subtract \(51\) to both sides:
\(51 - 51 - 10x = 4 - 51\)
\(-10x = -47\)
-Divide both sides by \(-10\):
\(\frac{-10x}{-10} = \frac{-47}{-10}\)
\(\boxed {x = \frac{47}{10}}\)
So, the value of \(x\) is \(\frac{47}{10}\).
the use of numeric data to demonstrate a point are known as? group of answer choices inform persuade statistics entertain
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Numeric data can be used to present facts, show relationships between variables, and support an argument.
Numeric data is a powerful tool that can be used to present facts, demonstrate relationships between variables, and support an argument. It is often used to provide evidence for a particular point of view, and it can be used to persuade an audience or inform them about a particular topic. Numeric data can be presented in various forms such as graphs, tables, and charts, and when used effectively, it can be a very effective tool for conveying information. It is important to understand how to interpret numeric data correctly, as it can be used to draw false conclusions if the data is misinterpreted.
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1) Which is the best definition for coordinate plane?
a) the point where the x-axis and the y-axis intersect on a coordinate plane
b) one of four regions into which a coordinate plane is divided
c) the set of coordinates that indicates the position of a point on a coordinate plane
d) a plane that is divided into four regions by a horizontal line, called the c-axis, and a vertical
line, called the y-axis
Answers
What is the mode of the teachers' ages?
Answers
Check the picture below.
Help a guy out please
Answers
Answer:
24.7
Step-by-step explanation:
c² = a² + b²
c² = 9.0² + 23.0²
c² = 81 + 529
c² = 610
c = 24.7
2x+7y=5
2x-7y=19
elimanation or substution
Answers
Answer:
(6, -1)
Step-by-step explanation:
4x = 24
x = 6
2(6) + 7y = 5
12 + 7y = 5
7y = -7
y = -1
A test has 20 questions.
If Peter gets 80\%80% correct, how many questions did peter miss?
Answers
HELP DUE IN 5 min Area=?
Answers
Answer:
The answer to your problem is, 39
Step-by-step explanation:
In order to find the area of the triangle use the formula down below:
A = \(\frac{h_{b} b}{2}\)
Base = 13
Height = 6
Replace them equals:
= \(\frac{6*13}{2}\) = 39
Thus the answer to your problem is, 39
Function A: X+4
x2
a) Complete the table of values for
function A.
X
-6
-2
y
-4
13
Function B: x +5
b) Find the inverse function
of function B.
Your answer should begin y
c) Here is a composite function.
m-Function A
Function B
2p+1
Find an expression for m in terms of p.
Give your answer in its simplest form.
Answers
An expression for m in terms of p is given by:m = p + 5
Given the function B: x + 5, we need to find an expression for m in terms of p.In order to find an expression for m in terms of p, we need to first understand the relation between x and p. Without any context or information given, we cannot directly relate x and p. So, we can assume that there is another function or equation that relates x and p, let's call it function A.Function A: p = 2x + 3 (just an example, not given in the question)Now, we can substitute the expression for x from function A into function B.
This will give us an expression for B in terms of p.B = (2x + 3) + 5 = 2x + 8Now, we can equate this expression for B to m, and solve for x in terms of m. Then, we can substitute this expression for x in terms of m back into function A to get an expression for m in terms of p.m = 2x + 8 => 2x = m - 8 => x = (m - 8)/2Substituting this expression for x back into function A:p = 2x + 3 = 2[(m - 8)/2] + 3 = m - 5
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please write the proportion fir then and i’ll solve it
Answers
Answer:
what is the problem?
Which statement is true?
O A) - 13| = 13
B) [13] = - 13
C) |-131 = 13
D) - |-131 = 13
please help
Answers
If the expression A xB is defined, and if A is a 3 x5 matrix, then what could be the dimensions of B?
Answers
If the expression AXB is defined, and A is a 3X5 matrix, then the dimension of B could be 5XN.
“N” could be the any number as in order to do any multiplication, the number of columns of first matrix and the number of rows of second matrix should be same in order to perform the multiplication between those matrices.
A matrix is a collection of integers that are organized in rows and columns to form a rectangular array. The numbers are referred to as matrix elements or entries. If the matrix has m rows and n columns, it is referred to as a "m by n" matrix, abbreviated "mXn."
A matrix A multiplied by a matrix B yields a matrix C only when the number of columns in the first matrix A equals the number of rows in the second matrix B. To find the element cij, which is in the product's ith row and jth column, multiply the first element in the ith row of A by the first element in the jth column of B, the second element in the row by the second element in the column, and so on until the last element in the row is multiplied by the last element in the column; the sum of all these products yields the element cij.
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calcula correctamente cada una de las ecuaciones de la recta.
pasa por los puntos a(4,-6) y b(-5,3)
Answers
The equation of straight line of the points is given as y = -x - 2
Equation of Straight LineTo solve this problem, we simply need to find the equation of straight line which can be done by finding the slope of the line and then intercept of the line.
In the given points;
A = (4, -6)B = (-5, 3)The formula of slope of a line is given as
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
Substituting the values into the equation;
\(m = \frac{3 - (-6)}{-5 - 4} \\m = \frac{9}{-9} \\m = -1\)
The slope of the line is equal to 1.
Let's find the intercept of the line
\(y = mx + c\)
Taking point A;
\(y = mx + c\\-6 = -1(4) + c\\-6 = -4 + c\\c = -2\)
The equation of the line is y = -x - 2
Translation: Find the equation of a straight line from two point A(4, -6) and B(-5, 3).
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A rectangle has area 36 m2. Express the perimeter of the rectangle as a function of the length (L) of one of its sides. P(L) =
Answers
Let's denote the length of one side of the rectangle as L and the width as W. Given that the area of the rectangle is 36 m², we have the equation:
Area = Length × Width
36 = L × W
To express the perimeter of the rectangle as a function of the length (L), we need to find the relationship between the length and the width.
Solving the equation for W, we get:
W = 36 / L
The perimeter (P) of the rectangle is given by the formula:
P = 2L + 2W
Substituting the value of W, we have:
P(L) = 2L + 2(36 / L)
Simplifying further:
P(L) = 2L + 72 / L
Therefore, the perimeter of the rectangle, expressed as a function of the length (L) of one of its sides, is given by P(L) = 2L + 72 / L.
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A population of pheasants is declining over time. The number of adults per hectare has decreased from 1,832 in 2012 to 422 in 2016. In which year will the population fall below the minimum viable density, 100 pheasants per hectare?
Answers
The number of pheasants in 2012 was 1832. The number of pheasants in 2016 was 422. The minimum viable density is 100 pheasants per hectare.
So, we need to find out the year in which the population will fall below 100 pheasants per hectare.
First, we need to find out the rate of decline per year which can be calculated as follows: Rate of decline per year = (1832 - 422) / (2016 - 2012)= 1410 / 4= 352.5 per yearNow, let the number of pheasants per hectare be y after t years from 2012.
Then, y = 1832 - 352.5t (as we know the rate of decline per year)We need to find the year in which the population will fall below 100 pheasants per hectare. So, we need to solve the equation:1832 - 352.5t = 100⇒ 352.5t = 1732⇒ t = 1732 / 352.5⇒ t = 4.91 Therefore, the population will fall below the minimum viable density of 100 pheasants per hectare after 4.91 years from 2012, which is around 2017 or 2018.
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Im so confused with this question 21≥3(a-7)+9
Answers
Answer:
I got you!
a ≤ 11
For more info, look at the steps in the attached image!
Step-by-step explanation:
Answer:
a ≥11
Step-by-step explanation:
\(21 \geqslant 3a - 21 + 9 \\ 21 \geqslant 3a - 12 \\ 21 + 12 \geqslant 3a - 12 + 12 \\ 33 \geqslant 3a \\ 3a \leqslant 33 \\ a \geqslant 11\)
The 4th term of an exponential sequence is 108 and the common ratio is 3. Calculate the value of the eighth term of the sequence.
Answers
Answer:
8748
Step-by-step explanation:
The formula for the nth term in a geometric sequence is ar^n-1.
We can find the first term, as a(3)^4-1 = 108 which also means that 27a = 108.
a = 4.
We find the 8th term using this:
(4)(3)^8-1 = (4)(3)^7 = 8748.
y= 2? + 16x + 64
1. Identify a, b, and c
b=
C=
Answers
ask a tutor for help with that my dude I don't know sorry
What does 2x+1-3=0 means
Answers
Answer:
it means that 2x+1-3 will equal to 0
Step-by-step explanation:
your on a app for answers
What is the slope of the line in this graph?
Answers
Answer:
The slope of the line is 7/5.
Step-by-step explanation:
To find the slope, first, find two points. On this line, two points are 0,0 and 7,5. Using the slope formula, we get 7-0/5-0. This gives 7/5, and that's the slope.
Hope this helps!
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What is the solution to the inequality |2n+5|> 1?
A)-3> n > -2
B)2< n <3
C)n<-3 or n>-2
D)n< 2 or n> 3
Answers
Answer:
C, n < –3 or n > –2
Step-by-step explanation:
6(m-6)+2<20
Plz help math xl
Answers
Answer:
m<9
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
6m−34<20
Step 2: Add 34 to both sides.
6m−34+34<20+34
6m<54
Step 3: Divide both sides by 6.
6m /6 < 54 /6
m<9
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