In linear equation, { 2x + 3y = 7.20 , { 4x + 2y = 8.80 the price per pound for oranges.
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Let be "x" the price per pound for grapefruit, "y" the price per pound for oranges.
We know that Steve buys 2 pounds of grapefruit and 3 of oranges for $7.20.
This means that the sum of the products of 2x and 3y is $7.20. Then, we can write this equation to represent it
2x + 3y = 7.20
Kennedy buys 4 pounds of grapefruit and 2 pounds of oranges for $8.80.
This means that the sum of the products of 4x and 2y is $8.80. Then, we can write this equation to represent this
4x + 2y = 8.80
Therefore, we get that the system of equations that models the situation is
{ 2x + 3y = 7.20
{ 4x + 2y = 8.80
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..
gujhtuvvvfgvbbhtdxccgyujjgttggg
Answer:
do you need help with anything if not hello
Step-by-step explanation:
100 POINTS ILL GIVE BRAINLIEST PLEASEE
The required proof is completed by proving that triangle FCA and triangle DBE are congruent hence sides FA ≅ ED
What is congruency of triangle?Triangles are said to be congruent when the sides and angles equal in accordance to to the triangle congruency rules
Some of the rules include
Side - Side - Side = SSSSide - Angle - Side = SASAngle - Side - Angle = ASA Angle - Angle - Side = AAS Hypotenuse and one leg = HLIn the problem, since FG can safely be extended to FC also EG to EB so that
FC ≅ EB this is one side of the triangle
Similarly, AB can be extended to AC and DC to DB such that
AC ≅ DB another side of the triangle
Given that < C ≅ < B the required sides for congruency by the SAS rule is completed and thus FA = ED
The SAS rule have it that when two sides and the included angle of angle of a triangle is equal to that of another triangle then all the sides and the angels are equal therefore they are congruent triangles
since ΔFCA ≅ ΔEBD the corresponding sides are equal to each other
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Please help! Find the measure of angle 1in the rhombus
Answer:
21°
Step-by-step explanation:
Literal Equations
help asap !!
Answer:
Step-by-step explanation:
2a + 4b = 12c
4b = 12c - 2a
b = 3c - 1/2a
or
b = (6c - a)/2
Drag each label to the correct location in the equation. sakeem is a landscape architect. when he creates a lawn, his supplier charges $0.43 per square foot for sod. sakeem charges his customers $2.00 per square foot to lay the sod. the profit sakeem makes when creating a lawn varies directly as the number of square feet of sod he lays. create an equation to show sakeem’s profit when laying sod, where y is the profit and x is the number of square feet of sod. recall that profit is the difference of the amount earned and the amount spent.
The formula is Y=kx.
What is profit?the financial gain experienced when the income from a commercial activity is greater than the costs, taxes, and other costs associated with maintaining the activity in question.
When laying sod, the equation to determine sakeem's profit is Y= KX, where y represents profit, x is the number of square feet of sod, and k is a constant.
His supplier bills him $0.43 per square foot for sod when he builds a lawn.
For laying the sod, Sakeem's costs his clients $2.00 per square foot.
The amount of sod used to create a lawn directly affects how much money Sakeem's makes.
The profit will then be
Earnings = 2 - 0.43 ,Earnings = $1.57 per square foot
The formula is Y=KX.
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Which table represents a linear function?
X
1
2
3
4
X
1
2
234
1
2
3
4
X12
A5951
y
y
-5
10
-15
20
SLE 888SK
10
20
40
-5
The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times then the table 4 represents a linear function.
What is meant by linear functions?An algebraic equation with simply a constant and a first-order (linear) term, such as y = mx + b, where m is the slope and b is the y-intercept, is known as a linear equation. The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.
The slope-intercept form of the equation for a linear function. As a result, it is written as f(x) = mx + b, where b is the line's y-intercept and m is the slope. Tables with a constant rate of change are represented by linear functions.
Table 4 represents a linear function
From the given tables, only table 4 represent a linear function.
As x's values change by 1, the matching y's values change by 5. This is why.
The table exists represented as:
x y
1 -5
2 0
3 5
4 10
Therefore, table 4 represents a linear function.
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a basketball player has made 66% of his foul shots during the season. assuming the shots are independent, find the probability that in tonight's game he misses for the first time on his 6th attempt?
The probability that in tonight's game he misses for the first time on his 6th attempt = 0.2244
What is Probability?
A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
The Probability that the basketball player made a foul shot = 0.66 or 60%
Then the probability of good shot is = 1-0.66
= 0.34
probability that in tonight's game he misses for the first time on his 6th attempt = (1-p) 5(p)
= ( 1- 0.34)⁵ (0.34)
= 0.2244
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I submitted y=13 I wouldn't work so what can it be?
Answer:
[tex]\huge\boxed{\sf y = \pm 13}[/tex]
Step-by-step explanation:
Given that,
y² = 169
Take sq. root on both sides
√y² = √169
y = ±13So,
y = 13 OR y = -13
[tex]\rule[225]{225}{2}[/tex]
Answer:
b) y = + 13
Step-by-step explanation:
Now we have to,
→ find the required value of y.
The problem is,
→ y² = 169
Let's solve the problem,
→ y² = 169
→ y = √(169)
→ [ y = + 13 ]
Hence, the answer is + 13.
Juan had $3. 50. Julian had 2 1/2 time a much a juan how much money did julian have
We know that Julian has $8.75 using mathematical operations.
What are mathematical operations?A mathematical "operation" is the process of calculating a value utilizing operands and a math operator.
The supplied operands or integers must adhere to a set of predefined rules that are connected to the symbol of the math operator.
The five basic operations in mathematics are addition, subtraction, multiplication, division, and modular forms.
So, we know that:
Juan has $3.50.
Julian has 2½ times Juan.
So, the money Julian has is:
First, calculate 2½:
2½
4+1/2
5/2
2.5 times
The money Julian has is:
3.50 * 2.5
$8.75
Therefore, we know that Julian has $8.75 using mathematical operations.
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Suppose DF=34, AC=36, and BC=72
I already got AB and BE I just need DE
PLEASE HELP! What can you conclude about the triangles? *Hint: What is congruent and how can you prove it?
The triangle's conclusion is that the two triangles are equal because they are congruent.
What are Congruent triangles?If each of the three corresponding sides and each of the three corresponding angles in two triangles equals one another, then the two triangles are said to be congruent.The two triangles generated in the illustration are triangles GHJ and GKM.To substantiate the triangle GHJ = GKMAngle JGH=Angle KGM ( opposite angles)angle K equals angle H (alternating angles)Angle H = thus Angle JWe can say that the triangles are congruent because the three angles of each triangle are equal.To Learn more About triangle's conclusion refer To:
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if you look at the results section of a psychology research article, two signs that scores are significantly different are that (a) the error bars of the groups will not overlap, and (b) the p-value will be less than 0.05.
If Two signs that scores are significantly different then (a) the error bars of group will not overlap
Error bars are graphical representations of data variability that are used to indicate the error or uncertainty in a reported measurement on graphs.
The estimated error in a measurement is indicated by error bars. In other words, an error bar represents the degree of uncertainty in a value.
When the standard deviation error bars overlap significantly, it is an indication that the difference is not statistically significant. To reach a conclusion, you must conduct a statistical test.
When the standard deviation error bars overlap even less, it indicates that the difference is unlikely to be statistically significant.
For significantly different group , we also have p-value greater than 0.05
So, Option (b) is incorrect.
Hence, (a) The error bars of the groups will not overlap is correct
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Write a recursive formula for an, the nth term of the sequence 16,-8,4
Answer: If a1 = 16 and a2 = -8, then we can write a recursive formula for the nth term of the sequence as follows:
an = a(n-1)/2
This formula states that the nth term of the sequence is equal to the previous term (n-1) divided by 2. For example, if n = 3, then a3 = a(3-1)/2 = a2/-8/2 = 4.
We can also write this formula in terms of the initial values of the sequence as follows:
a(n) = (-1)^(n-1) * 8
This formula states that the nth term of the sequence is equal to (-1) raised to the power of (n-1), multiplied by 8. This formula will always give the correct value for the nth term of the sequence, regardless of the initial values of the sequence.
Population The expression n 25 gives the population (in thousands) of an animal after 5 years, where n is the starting population in thousands. Find the populatio
5 years if the starting population is 3,000
The population after 5 years if the starting population is 3000 is 75,000.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The population after 5 years.
= n x 25
Where n is the starting population in thousands.
The expression can be considered as.
= nx²
Where x is the number of years.
Now,
n = 3000
The population after 5 years.
= 3000 x 25
= 75,000
Thus,
The population is 75,000.
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2x + 3 (4x - 3) = 8 - 3x
Answer:
the value of x is 1
Step-by-step explanation:
2x+3(4x-3)=8-3x
2x+12x-9=8-3x
2x+12x+3x=8+9
17x=17
17x/17=17/17.......... divide both side by 17 to get the value of x
x=1......so, the value of x is 1
Graph the line that has a slope of -7/6 and includes the point (0, 1)
Answer: (6,-6),(0,1) plot these 2 points
Step-by-step explanation:
The half-life of Radium-223 is 11.43 years. What is the annual decay rate? Express the result to four decimal places.
Express the annual decay rate as a percentage to two decimal places.
%
Answer:
Below
Step-by-step explanation:
e^(-kt) = 1/2 when t = 11.43
so k = .060642797
e^ (- .060642797 * 1) = .9411 <==== is left after one year
which means the decay in one year is
1 - .9411 = .05884 = 5.88% per year
Charmaine wanted to study how the area of a rectangle changes with the length if its width is fixed. She computed the areas of several rectangles that have the same width and different lengths. She then plotted the results and connected them with a line, as shown below. The graph shows the area (incm^2 ) versus the length (in cm).
Find the range and domain of the functions
The Range of the length of a rectangle having fixed width and area increasing linearly is = {y ∈ R : c ≠ 0 or y ≠ 0}, and Domain = All real numbers,
What is a rectangle?An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel, opposite sides. Since a rectangle is a two-dimensional form, it has two dimensions: length and width. The rectangle's longer side is its length, while its shorter side is its breadth.
Given:
The width of the rectangle is fixed, and the length is changing.
The line is formed when connected through the graph.
The area of the rectangle = [tex]length\times width[/tex]
So when the width is fixed, the area would increase linearly and directly proportional to length.
Calculate the range of function y = cx,
y = area as shown in the graph, x is the length, and width is constant c.
Range = {y ∈ R : c ≠ 0 or y ≠ 0}
Calculate the domain,
It can be any real number, as the area can't be negative.
Domain = All real numbers.
Therefore, Range = {y ∈ R : c ≠ 0 or y ≠ 0}, and Domain = All real numbers.
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Please answer this question
The inequality model of given problem is |5x-4|≤80.
What is inequality model?In mathematics, an inequality is a connection between two expressions or values that are not equal to each other. In mathematics, an inequality depicts the connection between two non-equal values in an algebraic expression. Inequality signs can indicate that one of the two variables is larger than, greater than or equal to, less than, or less than or equal to another value. An inequality is a mathematical connection between two expressions that is represented by one of the following symbols:: "less than or equal to": "less than": "not equal to"
Here,
The provided problem's inequality model is |5x-4|≤80.
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The stereo normally priced at $299 is on sale for 15%off. Find the discount and the sale price.
Answer: Sale price: $254.15 , Discount: $44.85
Step-by-step explanation:
15% off indicates that the stereo will now cost 85% of what it did originally:
$299(100% – 15%) = $299(85%)
Decimalizing the percentage results in = $299(0.85) = $254.15
Discount= $299 - $254.15 = 44.85
Two buses leave a station at the same time and travel in opposite directions. One bus travels 18 km/h faster than the other. If the two buses are 1722 kilometers apart after 7 hours, what is the rate of each bus?
Answer:
66mph i belive
Step-by-step explanation:
Both question A and B please
The coordinates of P and Q are
P (-1/2, 3/2) Q (-4, -3/2)PQ have equal slope with BC so they are parallel
How to find the coordinates of P and QThe coordinates of P and Q is found using the midpoint formula
The formula is of the form
X= (x₂ + x₁)/2
Y = (y₂ + y₁)/2
solving for P (X, Y) Using points A(2, -1), B(-3, 4)
(X, Y) = ((2 + -3)/2, (-1 + 4)/2)
= (-1/2, 3/2)
solving for Q (X, Y) points A(2, -1), C(-5,-7)
(X, Y) = ((2 + -5)/2, (-1 + -7)/2)
= (-3/2, -4)
Parallel lines have equal slopes
Using BC = (4 - -7) / (-3 - -5) = 11/2
Using PQ = (-4 - 3/2) / (-3/2 - -1/2) = (-11/2) / (-1) = 11/2
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COMPLETE THE PROOF! MY FINAL IS TMRW AT 8 AM!!!!
Given: segment QP is congruent to segment RS and segment QP is parallel to segment RS.
Prove: segment QR is parallel to segment PS.
A two-column method be that can used to prove that segment QR is parallel to segment PS is presented as follows;
Statement [tex]{}[/tex] Reasons
1. [tex]\overline{QP}[/tex] ≅ [tex]\overline{RS}[/tex] 1. Given
2. [tex]\overline{QP}[/tex] ║ [tex]\overline{RS}[/tex] [tex]{}[/tex] 2. Given
3. ∠PRQ ≅ ∠RPS [tex]{}[/tex] 3. Alt. int. angles theorem
∠QPR ≅ ∠PRS [tex]{}[/tex]
4. ∠PRQ = ∠RPS [tex]{}[/tex] 4. Definition of congruency
∠QPR = ∠PRS
5. ∠QRS = ∠PRQ + ∠PRS [tex]{}[/tex] 5. Angle addition postulate
∠QPS = ∠QPR + ∠RPS
6. ∠PRQ + ∠PRS = ∠QPR + ∠RPS [tex]{}[/tex] 6. Substitution property
7. ∠QRP = ∠QPS [tex]{}[/tex] 7. Transitive property
8. [tex]\overline{PR}[/tex] ≅ [tex]\overline{PR}[/tex] [tex]{}[/tex] [tex]{}[/tex] 8. Reflexive property
9. ΔQRP ≅ ΔSPR [tex]{}[/tex] 9. ASA congruency rule
10. ∠PQR ≅ ∠PSR [tex]{}[/tex] 10. CPCTC
11. ∠PQR = ∠PSR [tex]{}[/tex] 11. Definition of congruency
12. QRSP is a parallelogram [tex]{}[/tex] 12. Parallelogram opp. int. ∠s theorem
13. [tex]\overline{QR}[/tex] ║ [tex]\overline{PS}[/tex] [tex]{}[/tex] 13. Properties of a parallelogram
What is a parallelogram?A parallelogram is a quadrilateral that has opposite parallel sides.
The details of the reasons used to prove that the segment [tex]\overline{QR}[/tex] is parallel to segment [tex]\overline{PS}[/tex] are as follows;
Alt. int. angles theorem
The alternate interior angles theorem states that the alternate interior angles formed between two parallel lines and their common transversal are congruent
Definition of congruency
Two geometric figures are congruent if they have the same measurements.
Angle addition postulate
The angle addition postulate states that the measure of an angle ∠A, which is formed by two adjacent angles ∠B and ∠C, is the same as the sum of the measures of the two angles, ∠A = ∠B + ∠C
Substitution property
The substitution property of equality states that if a variable, a = another variable, b, a = b, then b can be plugged into expressions and equations to substitute for a and the values of the expressions and sides of equations remain the same.
Transitive property
The transitive property of equality states that if a = b, and b = c, then a = c
Reflexive property
The reflexive property of congruency states that a geometric figure is congruent to its self
ASA congruency rule
The Angle-Side-Angle congruency rule states that if two angles and the included side of one triangle are congruent to the two angles and included side of another triangle, then the two triangles are congruent.
CPCTC
CPCTC is an acronym for Corresponding Parts of Congruent Triangles are Congruent
Parallelogram opp. int. ∠s theorem
The parallelogram opposite interior angles theorem states that the opposite interior angles of a parallelogram are congruent.
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Find the y-intercept of the line y=1/3x–1.
Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.
Answer:
-1
Step-by-step explanation:
This line is already in slope, intercept form of y = mx + b <===='b' is the y-axis intercept = -1
A man is running through a train tunnel. When he is 2/5 of the way through, he hears a train that is approaching the tunnel from behind him at a speed of 60 mph. Whether he runs ahead or runs back, he will reach an end of the tunnel at the same time the train reaches that end. At what rate, in mph, is he running?
Answer:
12
Step-by-step explanation:
He is running 12
According to the American Veterinary Medicine Association, 72% of households in Wyoming owned a pet in 2018. There were 278,595 households in Wyoming in 2018. How many of those households owned a pet? Round to the nearest whole number.
If according to the American Veterinary Medicine Association, 72% of households in Wyoming owned a pet in 2018. There were 278,595 households in Wyoming in 2018. The number of those households that owned a pet is: 200,588.
How to find the number of household who owned a pet?We would be making use of the given data to find the number of household that owned a pet.
Using this formula
Number of household with pet = Percentage of household × Number of household
Let plug in the formula
Number of household with pet = 72% × 278,595
Number of household with pet = 200,588 household
Therefore the Number of household with pet is 200,588.
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Question is in picture
The length of line segment LB is equal by definition of bisector to 6 feet.
How to determine the missing length of a geometric system of two right triangles
In this question we find a geometric system with two right triangles generated by bisector AL, that is, a side that divides line segment CL into two segments of equal length. Then, the length of line segment LB is equal to:
CL = LB
Where CL and LB are measured in feet.
If we know that CL = 6 ft, then the length of line segment LB is 6 feet.
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Need help with part A
Answer: 0.4
Step-by-step explanation:
The question is asking for the probability to own a dog.
40% own a dog.
If you add all of the percentages you get 100%
40/100
=0.4
The probability is 0.4 times to randomly select a resident that only owns a dog.
2. The Linton family has a circular swimming pool. The radius of the pool is 15 feet_
circumference of the pool? Use 3.17 for
The required circumference of the pool is given as 95.1 feet.
What is the perimeter?Perimeter is the measure of the figure on its circumference. where the circumference of the circle is given as 2πr.
Here,
The Linton family has a swimming pool as of the circular profile.
The radius of the circular swimming pool is 15 feet
π = 3.17
Now,
Circumference of the swimming pool is given as,
= 2πr
Substitute the value in the above formula,
Circumference of the swimming pool = 2 × 3.17 × 15
= 95.1 feet.
Thus, the circumference is 95.1 feet.
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What is the quotient? 8^2-81/(x-3)(x-9)
The quotient of the given division is (x + 9).
What is synthetic division?
Synthetic division is a technique for performing manual Euclidean division of polynomials in algebra that requires less writing and calculation than long division. Although it is typically taught for division by monic linear polynomials, the technique can be applied to division by any polynomial.
Given: x^2 - 81 / (x - 9)
We have to find the quotient for the given division.
We can find the quotient using synthetic division.
x + 9
[tex]\sqrt[x-9]{x^2-81}[/tex]
- x^2 - 9x
_______________
9x - 81
- 9x - 81
_____________
0
Hence, the quotient of the given division is (x + 9).
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