To verify if Tammy's answer is correct, we can calculate the product of 5/7 and 1 1/4 and compare it to 1 3/4.
First, let's convert 1 1/4 to an improper fraction:
1 1/4 = (4 * 1 + 1) / 4 = 5/4
Now, let's calculate the product of 5/7 and 5/4:
(5/7) * (5/4) = (5 * 5) / (7 * 4) = 25/28
The product of 5/7 and 1 1/4 is actually 25/28, not 1 3/4.
Therefore, Tammy's answer of 1 3/4 is incorrect.
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What is the area of the triangle formed from 0,-1), (0.4), and
(4,-1)?
OA. 20 square units
B. 5 square units
O C. 40 square units
O D. 10 square units
Answer:
D. 10 square units
Step-by-step explanation:
The area of a triangle is given by the formula ...
A = 1/2bh
__
This triangle has a base of 4 units and a height of 5 units. (These dimensions can be counted from the graph, or found by subtracting coordinate values.) Its area is ...
A = 1/2(4 units)(5 units) = 10 square units
_____
Additional comment
The first two coordinates lie on the line x=0. The length of that segment is the difference of the y-values: 4 -(-1) = 5.
The first and last coordinates lie on the line y=-1. The length of that segment is the difference of the x-values: 4 -0 = 4.
please help its due today
The measure of the angles are: K, L, C, N, O G = -3/4, 65, 8 40.4, 89 and 44 respectively
How to find the measure of the angles?To determine K
9x + 2 = 23 + 5x -1
9x -5x = -1 +2
4x = -3Making x the subject we have
x= -3/4
To find the value of L
Let angle L be x
x + 65 = 130
x=130-65
That is x = 65
To find the m<C
4x + 7 = 3x + 15
Collecting like terms
4x - 3x = 15-7
Making x the subject of the relation we have
x=8
To find the m<N
7x + 6x - 1 = 90
13x = 89
x=89/13
x= 6.9
Substitute x = 6.9 in 6x -1
6(6.9) -1
m<L = 40.4
To find the m<O
5x - 11 = 4x +9
5x-4x = 9 +11
x=20
By substitution in 4x +9 we have
4(20) +9
80+9
m<S = 89
To find the value of the angle G
6x - 4 = 5x +4
6x - 5x = 4+4
x = 8
Therefore the m<G is
5x +4
5(8) +4
40+4 = 44 digress
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3 times the sum of a number w and 5
Answer: 3× (w +5)
Step-by-step explanation:
what expression is equivalent to 6x\(6xx^{2} -13x+5\)
The equivalent expression is (2x - 1)(3x - 5)
How to determine the expression
From the information given, we have the quadratic equation written as;
6x² - 13x + 5
Using factorization, we have that;
Find the product of the coefficient of x squared and the constant.
Then, find the pair factor of the product that add up to -13
We have;
6x² - 10x - 3x + 5
Group the expression in pairs, we get;
2x(3x - 5) - 1(3x - 5)
Then, we have the expression, we have;
(2x - 1)(3x - 5)
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create an infinite geometric series to represent the decimal 0.44444... use this information to find the fraction to which this infinite geometric series converges.
Therefore, the infinite geometric series representing the decimal 0.44444... converges to the fraction 4/9.
To represent the decimal 0.44444... as an infinite geometric series, we can start by noticing that this decimal can be written as 4/10 + 4/100 + 4/1000 + ...
The pattern here is that each term is 4 divided by a power of 10, with the exponent increasing by 1 for each subsequent term.
So, we can express this as an infinite geometric series with the first term (a) equal to 4/10 and the common ratio (r) equal to 1/10.
The infinite geometric series can be written as:
0.44444... = (4/10) + (4/10)(1/10) + (4/10)(1/10)^2 + ...
To find the fraction to which this series converges, we can use the formula for the sum of an infinite geometric series:
S = a / (1 - r)
Plugging in the values, we have:
S = (4/10) / (1 - 1/10)
= (4/10) / (9/10)
= (4/10) * (10/9)
= 4/9
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What is true about the slopes of perpendicular lines?
A The fractions of the slopes are flipped.
B) Both b and c.
C The slopes are the same.
D) One of the slopes is negative and the other is positive.
The statement that is true abut the slopes of perpendicular lines is that: D. One of the slopes is negative and the other is positive.
What are the Slopes of Perpendicular Lines?If two lines are perpendicular, it means that their slope (which is the change in y over x or rise/run along the line) will be negative reciprocal to each other.
For example, if the slope of one line is 2, the slope of any line that is perpendicular to the line must be negative reciprocal to 2, which is -1/2.
If we multiply their slopes together, we must have -1. I.e. 2 * -1/2 = -1. Therefore, if one is negative the other would be positive.
The correct answer is: D. One of the slopes is negative and the other is positive.
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Marco needs to buy some dog food at the nearest store 6 bags of dog food cost 34.50. How much would Marco spend on 5 bags of dog food?
Simplify the expression:
-3(3-4x) =
Answer:
- 9 + 12x
Step-by-step explanation:
- 3(3 - 4x) ← multiply each term in the parenthesis by - 3
= - 9 + 12x
On the way to the mall Miguel rides his skateboard to get to the bus stop. He then waits a few minutes for the bus to come, then rides the bus to the mall. He gets off the bus when it stops at the mall and walks across the parking lot to the closest entrance. Which graph correctly models his travel time and distance?
Answer: C
Step-by-step explanation:
sorry im too lazy to do work
Answer:
C
Step-by-step explanation:
I took test
The semester ratio of quizzes to test is 6:1. If there are 77 grades taken during the semester, how many are tests
There are 11 tests taken during the semester ratio.
If the ratio of quizzes to tests is 6:1, then the total number of parts in the ratio is 6+1 = 7.
Let x be the number of parts that represent quizzes, and y be the number of parts that represent tests. Then we have:
x + y = 7 (because there are 7 total parts in the ratio)
x/y = 6/1 (because the ratio of quizzes to tests is 6:1)
Simplifying the second equation, we get:
x = 6y
Substituting this into the first equation, we get:
6y + y = 7
7y = 7
y = 1
So the number of parts that represent tests is 1, and the number of parts that represent quizzes is 6. Therefore, if there are 77 grades taken during the semester, then there is 1/7 of the grades taken for each part of the ratio.
The number of grades for tests is:
1/7 × 77 = 11
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A(b c) = a • b a • c, where a, b, and c are real numbers use the distributive property to simplify the expression. 8(3 4) = 24
Answer:
I think you mistype the question?
Step-by-step explanation:
8×3×4 is not 24
It should be 2(3 4)
If triangle ABC= triangle DEF, which is a correct congruence statement
Answer:
It's segment CA = segment FD if they're actually segments because I'm not sure if they are. They don't have the line at the top, so yeah but good luck.
Step-by-step explanation:
Help me plz!
9ubiesnfhduryinwiwybv
Answer:
-8
Step-by-step explanation:
10 -2b^2
Let b=-3
10 - 2( -3)^2
Do the exponent first
10 -2(9)
Multiply
10 -18
Subtract
-8
Answer:
- 8
Step-by-step explanation:
Given
10 - 2b² ← substitute b = - 3 into the expression
= 10 - 2(- 3)²
= 10 - 2(9)
= 10 - 18
= - 8
John runs the same number of miles each day.write an expression to represent the number of miles John ran in June last year
Answer:
30x
Step-by-step explanation:
it would be 30x because there are 30 days in june and x represents the number of miles he runs everyday.
Could someone please help
Answer:
Your answer is: Point H
Step-by-step explanation:
Have a great day or night!
Which of the purchases would be the least expensive?PurchaseAmount of saleSales tax rateA$1505%B$1457%C$1408%D$1359%purchase Apurchase Bpurchase Cpurchase D
Answer:
its A
Step-by-step explanation:
Answer:
Step-by-step explanation:
hi its D
A circle has a center at point A ( 3, − 1 ) and a point on the circle is located at R ( 5,4 ). What is the location of S, on the diameter RS?
A circle has a center at point A ( 3, − 1 ) and a point on the circle is located at R ( 5,4 ). The location of S is (1, -6).
To find the location of S on the diameter RS, we need to first find the midpoint of RS, which will be the center of the circle. Then we can find the coordinates of S by using the distance formula.
The midpoint of RS is the average of the coordinates of R and S:
((5 + x)/2, (4 + y)/2)
Since the midpoint is the center of the circle, it has the same coordinates as point A:
((5 + x)/2, (4 + y)/2) = (3, -1)
We can solve this system of equations for x and y:
(5 + x)/2 = 3
(4 + y)/2 = -1
Solving for x and y, we get:
x = 1
y = -6
Therefore, the location of S is (1, -6).
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find the general solution of the system bold x prime(t)equalsax(t) for the given matrix a.
The general solution of the system x'(t) = Ax(t), where A is the given matrix, can be found by solving the system of linear differential equations associated with it.
To find the general solution, we need to solve the system of linear differential equations x'(t) = Ax(t), where x(t) is a vector-valued function and A is the given matrix.
The solution involves finding the eigenvalues and eigenvectors of the matrix A. The general solution will have the form x(t) = c₁v₁e^(λ₁t) + c₂v₂e^(λ₂t) + ... + cₙvₙe^(λₙt), where c₁, c₂, ..., cₙ are constants, v₁, v₂, ..., vₙ are eigenvectors, and λ₁, λ₂, ..., λₙ are eigenvalues of A.
This general solution represents a linear combination of exponential functions, where each term corresponds to an eigenvalue-eigenvector pair. The specific values of the constants are determined by initial conditions or boundary conditions provided in the problem.
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In the equation y = ab(x-h)+ k how does the value of k affect the graph?
The value of k translates the graph vertically (upwards or downwards)
The given equation is:
y = ab(x - h) + k
Let the equation before k was added be y₀
That is, y₀ = ab(x - h)
The equation can therefore be written as:
y = y₀ + k
The value of k is a vertical translation of y₀. It can either be shifted up or down depending on whether the value of k is positive or negative.
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PLEASE PLEASE PLEASE I BEG YOUWhich graph is a function of x? On a coordinate plane, a vertical line is at x = negative 3. On a coordinate plane, a v-shaped graph opens up. On a coordinate plane, a parabola opens to the right. On a coordinate plane, one curve opens to the left and another curve opens to the right.
Answer:
On a coordinate plane, a v-shaped graph opens up.
Step-by-step explanation:
If you can draw a vertical line that intersects the graph in more than one place, the graph is NOT a function.
It appears your only function is ...
On a coordinate plane, a v-shaped graph opens up.
Answer:
On a coordinate plane, a v-shaped graph opens up.
Step-by-step explanation:
Good luck everybody and have a great day :D
Carlisle Transport had $4,520 cash at the beginning of the period. During the period, the firm collected $1,654 in receivables, paid $1,961 to supplier, had credit sales of $6,916, and incurred cash expenses of $500. What was the cash balance at the end of the period?
To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.
Starting cash balance: $4,520
Cash inflows: $1,654 (receivables collected)
Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)
Total cash inflows: $1,654
Total cash outflows: $1,961 + $500 = $2,461
To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:
Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows
Cash balance at the end of the period = $4,520 + $1,654 - $2,461
Cash balance at the end of the period = $4,520 - $807
Cash balance at the end of the period = $3,713
Therefore, the cash balance at the end of the period is $3,713.
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What is multiplicative property of equality?
According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same. The formula for this property can be expressed in real numbers a, b and c. If a × c = b × c.
Property of Equality:
The equivalence property describes the relationship between two equal quantities. If you apply a math operation to one side of the equation, you must also apply it to the other side of the equation to maintain balance.
That is, a property that does not change the truth value of an equation or does not affect the equivalence of two or more quantities is called an equality property. These equality properties help solve various algebraic equations and define equivalence or equilibrium relationships.
Multiplicative Property of Equality:
According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same.
The formula for this property can be expressed as for the real numbers a, b, and c.
If a × b, then, a × c = b × c.
In algebra, the multiplicative property of an equation helps extract unknown terms from an equation. Because multiplication and division are opposites of each other.
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If 15% of x = 120 then x =
Answer:
800
Step-by-step explanation:
\(15 \div 100 \times x = 120 \\ 0.15x = 120 \\ x = 120 \div 0.15 \\ x = 800\)
7TH grADE mATH QUeSTIOn HELpLPPPPPPPPPPPPPPPPPpPPpppPPP!!!!!
A:
1: –4 > –1
2: –4 < –1
3: –4 = –1
B:
1: –2 > –1
2: –2 < –1
3: –2 = –1
C:
1: 2 > –5
2: 2 < –5
3: 2 = –5
D:
1: 2 > –1
2: 2 < –1
3: 2 = –1
The inequality symbol is only reversed when dividing by a _________
number.
________ :
A: negative
B: positive
Please help... typing out this question took me 30 stressful mins.... plss....
Answer:
Step-by-step explanation:
A: = 2: -4<-1
B:=2:-2<-1
C:=1:2>-5
D=1:2>-1
A:negative
What is the range of the following data set?
34 15 75 81 45 73 97 89 23
Answer: 45
Step-by-step explanation:
Help please! Solve this and show your steps: c = 6.00 + 29.99
Step-by-step explanation:
you don't a type your question. so if it correct i will be happy to help you
(4c^4+1)-(7c^3-3)+(2c^4+5c^3)
Answer:
6c^4 - 2c^3 + 4
Step-by-step explanation:
(4c^4 + 1) - (7c^3 - 3) + (2c^4 + 5c^3) = ⇒ parenthesis4c^4 + 1 - 7c^3 + 3 + 2c^4 + 5c^3 = ⇒ simplify, add up like terms6c^4 - 2c^3 + 4 ⇒ answerAnswer: 6\(c^{4}\) - 2\(c^{3}\) + 4
Step-by-step explanation:
\((4c^{4} +1)- (7c^{3} -3)+(2c^{4} + 5c^{3} )\)
\(= 4c^{4} +1-7c^{3} +3+2c^{4} +5c^{3}\)
Combine like terms
\(= 6c^{4} -2c^{3} + 4\)
MATH PROBLEM SOLVING
Answer:
Probability[Selected ball is a white ball without replacement (W)] = 5 / 22
Step-by-step explanation:
Given:
Number of white ball in jar = 5
Number of black ball in jar = 6
Find;
Probability[Selected ball is a white ball without replacement (W)]
Computation:
Probability of an event = Number of favorable outcomes / Total number of outcomes
Probability of 1st white ball = 5 / [5 + 6]
Probability of 1st white ball = 5 / 11
Probability of 2nd white ball [without replacement] = 5 / [11 - 1]
Probability of 2nd white ball [without replacement] = 5 / 10
Probability[Selected ball is a white ball without replacement (W)] = [5/11][5/10]
Probability[Selected ball is a white ball without replacement (W)] = 25 / 110
Probability[Selected ball is a white ball without replacement (W)] = 5 / 22
on a coordinate plane, triangle a b c is shown. point a is at (negative 1, 1), point b is at (3, 2), and points c is at (negative 1, negative 1)if line segment bc is considered the base of triangle abc, what is the corresponding height of the triangle?
Answer:
The corresponding height of the triangle is \(1.2\)
Step-by-step explanation:
We have\(\Delta ABC\)
Here \(AD\) is the height
We need to draw perpendicular from \(A\) to \(BC\)
The distance from the point \((m, n)\) to the line \(A x+B y+C=0\) is given by:
\(d=\frac{|A m+B n+C|}{\sqrt{A^{2}+B^{2}}}\)
First let us calculate equation of \(BC\)
\(y-y_1=m(x-x_1)\\\\y-2=\frac{2--1}{3--1} (x-3)\\\\y-2=\frac{3}{4} (x-3)\\\\4y-8=3x-9\\\\3x-4y=1\)
Now distance from \((-1,1)\) to \(3x-4y-1=0\) is
\(d=\frac{|A m+B n+C|}{\sqrt{A^{2}+B^{2}}}\\\\=\frac{|3 \times1+-4\times-1-1|}{\sqrt{3^{2}+(-4)^{2}}}\\\\=\frac{6}{5}\\\\=1.2\)
Shelly and Terrence completed a different number of tasks in a game. Shelly earned 90 points on each task. Terrence's total points were 20 less than Shelly's total. The expression below shows Terrence's total points in the game:
90x − 20
What does the factor x of the first term of the expression represent? (2 points)
Group of answer choices
The total number of tasks Terrence completed
The total number of tasks Shelly completed
The sum of Shelly's and Terrence's total points
The difference between Shelly's and Terrence's total points
The total number of tasks Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed
The factor 'x' in the expression '90x - 20' represents the total number of tasks that Terrence completed in the game.
To understand why, let's break down the given information. It states that Shelly and Terrence completed a different number of tasks. Shelly earned 90 points on each task, so the total number of tasks she completed is not represented by 'x'.
On the other hand, Terrence's total points were 20 less than Shelly's total. This means that Terrence's total points can be calculated by subtracting 20 from Shelly's total points. Since Shelly earned 90 points on each task, her total points would be 90 multiplied by the number of tasks she completed.
So, the expression '90x - 20' represents Terrence's total points in the game, where 'x' represents the total number of tasks that Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed, we can calculate his total points.
Therefore, the correct answer is: The total number of tasks Terrence completed.
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