What is the solution set for the open sentence with the given replacement set?
13 x 7, {4, 5, 6, 7}
1.4
2.5
3.6
4.7
The solution set for the open sentence with the given replacement set is; 6
What is the solution set of the given equation?
We are given the equation as;
13 - x = 7
To solve this , let us use subtraction property of equality to subtract 13 from both sides to get;
13 - 13 - x = 7 - 13
-x = -6
Use division property of equality to divide both sides by -1 to get;
x = 6
Now, the set of possible solutions is {4, 5, 6, 7}. Thus, our solution falls within the set.
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Which graph represents the inequality 3y - 5x≤-6?
Answer: Graph A represents the given inequality 3y−5x>−6. Option A is correct.
From the graphs, the graph is to choose which best describes the inequality 3y−5x>−6
Step-by-step explanation: hope this helps
Graph A represents the inequality 3y - 5x≤-6. Correct option is A. The inequality 3y - 5x ≤ -6 represents a linear inequality in two variables, y and x.
To graph this inequality, we can rearrange it into slope-intercept form (y = mx + b), where m is the slope, and b is the y-intercept.
Let's rearrange the given inequality:
3y - 5x ≤ -6
First, add 5x to both sides of the inequality:
3y ≤ 5x - 6
Now, divide both sides by 3 to isolate y:
y ≤ (5/3)x - 2
Now, you have the inequality in slope-intercept form:
y ≤ (5/3)x - 2
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So basically what you have to do is subtract the above ground level (1) with ground level (4) and you’ll get 3 which is negative bc it counts as below ground level . Now that the car rises 13 meters subtract 13-3= 10 and add it with the other ground level 6 meters . 10-6=4
Rollercoaster Car is at 4 m above the ground by using integer concept.
As per the question statement, Rollercoaster Car that goes above and below the ground.
Before solving the question, we need to know the concept of integer operations on a number line.
Here the car is [tex]1 meter[/tex] above the ground level and then goes 4 meter down.
So the position is [tex]1-4=-3 meter[/tex] or 3 meter below the ground level.
Now it rises 13 meter above the ground. So now the position is [tex]-3+13 = 10 meter[/tex] or 10 meter above the ground.
Now it again falls by 6 meter so position is [tex]10-6 = +4 meters[/tex] or 4 meters above the ground.
Therefore the final position is 4 meters above the ground level.
Integers: a number without a fraction (no decimals). Includes the digits 1, 2, 3, etc., in counting, zero {0}, and the antithesis of the numerals "-1, -2, -3,... " We can classify them all in the following order: {..., -3, -2, -1, 0, 1, 2, 3, ...}To learn more about integers and its operations, click on the link given below:
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Old McDonald had a farm. And on that farm he had 38 animals, some
horses and some chickens. Altogether, there were 94 animal legs in the
farm. Solve for the number of Horses and Chickens.
Answer:
Heya, your answer would be 52 horses, and 42 chickens.
Step-by-step explanation:
By doing the long, long and I mean long process of adding 2 + 2 or 4 + 4 (due to the fact chickens have 2 legs and horses have 4), we get to 52 horse legs, and 62 chicken legs.
Adieu
Answer:
There are 9 horses and 29 chickens.
Step-by-step explanation:
a = animals
a = 38
h = horses
c = chickens
l = legs
l = 94
Equation 1: h + c = 38
Horses have 4 legs. Chickens have 2 legs.
Equation 2: 4h + 2c = 94
Manipulate the equations so that one of the coefficients are the same.
We will multiple Equation 1 by 2 so that both equations have 2c.
Equation 1: 2h + 2c = 76
Equation 2: 4h + 2c = 94
Subtract Equation 1 from Equation 2.
Equation 2 - Equation 1
(4h + 2c) - (2h + 2c) = 94 - 76
(4h - 2h) + (2c - 2c) = 94 - 76
2h = 18
h = 9
Substitute h into either equation to solve for c.
Equation 1: 2h + 2c = 76
Equation 1: 2(9) + 2c = 76
Equation 1: 18 + 2c = 76
Equation 1: 2c = 76 - 18
Equation 1: 2c = 76 - 18
Equation 1: 2c = 58
Equation 1: c = 29
Equation 2: 4h + 2c = 94
Equation 2: 4(9) + 2c = 94
Equation 2: 36 + 2c = 94
Equation 2: 2c = 94 - 36
Equation 2: 2c = 58
Equation 2: c = 29
There are 9 horses and 29 chickens.
-5x^2-2x^3-4x write the polynomial in standard form then identify the polynomial by the number of terms
Answer: - 2x³ - 5x² - 4x, trinomial
Step-by-step explanation:
When writing a polynomial, the standard form is to have the terms ordered from highest power to lowest power. 3 > 2, so we will reorder them as so;
- 5x² - 2x³ - 4x ➜ - 2x³ - 5x² - 4x
To identify the polynomial, we will look at the number of terms. This polynomial has three terms, so it is a trinomial.
- 2x³ - 5x² - 4x
[1] - 2x³
[2] - 5x²
[3] - 4x
?(21)+?(4)=300 what is the answer
[tex]21x + 4y = 300[/tex]
We have infinitely many numbers that make this equation hold. For example:
[tex](x,y)=(69,-287.25) \\ (x,y)=(1,69.75) \\ (x,y)=(7,38.25)[/tex]
This could go on forever, so your question does not have a right answer.
A box of cereal can be purchased in the large size, which is 15 ounces for $3.14, or the family size, which is 24 ounces for $5.34. Which size box of cereal has the lowest price per ounce, and what is the amount?
a -Large size at $0.21 per ounce
b-Large size at $0.22 per ounce
c-Family size at $0.21 per ounce
d-Family size at $0.22 per ounce
Given the values that we have here for the large sizes and the family size of cereal the one that has the lowest price per ounce is that of the Large size at $0.21 per ounce
How to solve for the sizes of the cerealsFor the family size
We would first have to divide 5.34 by 24
= 5.34 / 24
= 0.22 per dollar
For the large size we have
15 ounces for $3.14
= 3.14 / 15
= 0.21 dollars
Hence we can see that the size of the cereal that is the lowest price per ounce is given as Large size at $0.21 per ounce
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someone help me please!!
Answer: Distance point is 8.
Step-by-step explanation:
You would do 2 by the power of 2 and double that (8)
If you can't help me with that answer then can you help me with this one please?
Answer:
73° & 107°
Step-by-step explanation:
1. Those angles are supplementary, so they add up to 180 degrees.
2. (8x - 20) + (8x + 8) = 180
3. You need to add both 8x's together to make 16x. Do the same with -20 & 8. That makes -18. This is binomial addition.
4. 16x - 18 = 180
5. Add 18 to both sides
6. 16x = 198
7. Divide both sides by 16
8. x = 12.375
9. Plug in your x for both angles.
Explain why the expansion at the right of log₄√t/s is incorrect. Then do the expansion correctly.
The correct expansion of log₄√t/s is 1/2 log₄(t/s).
Logarithms is another way of writing exponents. Logarithm is nothing but another way of expressing exponents and can be used to solve problems that cannot be solved using the concept of exponents only. Understanding logs is not so difficult. To understand logarithms, it is sufficient to know that a logarithmic equation is just another way of writing an exponential equation.
Logarithm and exponent are inverse forms of each other. One can understand this from the section below. Initially, a mathematician named John Napier introduced logarithms for making calculations in a simple way and this concept is quickly adopted by other scientists, engineers, etc.
Given that, log₄√t/s and we have to expand this logarithmic function having base 4 accordingly. So, let's proceed to solve this logarithmic expansion.
log₄√t/s = log₄((t/s)^(1/2))
= log₄((t/s)^(1/2))
Apply log rule, logₐ(xᵇ) = b.logₐ(x), assuming x ≥ 0
= 1/2 log₄(t/s)
Hence, log₄√t/s = 1/2 log₄(t/s) is the correct expansion.
Therefore, 1/2 log₄(t/s) is the required answer.
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Eli takes a typing test and types all 240 words in 1/12 hour. he takes the test a 2nd time and types all the words in 1/15 hour. was he faster or slower on the 2nd attempt.
Answer: he was faster the second time
Step-by-step explanation:
1/15 is a smaller fraction and 1/12, 1/15 of an hour is 4 minutes and 1/12 of an hour is 5 minutes, so he took it in 4 minutes the second time which was quicker
What is 0.00784 rounded to 2 significant figures? Pls I need this quick
The answer would be 0.0078
The decimal number 0.00784 rounded off to 2 decimal places is 0.
What is rounding off of numbers?We round off numbers to make them easier to remember and it also keeps its value approximately to the place it has been rounded off.
To round off any number to any place we'll look for the digit next to that place and if it is equal to or greater than 5 we'll add one to the previous digit and make all the digits after it zeroes and if the digit is less than 5 we do not add one to the preceding digit and simply make all the digit after it to zeroes.
Given, 0.00784 and we have to round off to two significant figures means
the number will have 2 digits after the decimal place.
Now, 0.00784
= 0.00780.
= 0.0078.
= 0.0080.
= 0.008.
= 0.010.
= 0.01.
= 0.00.
= 0.
So, 0.00784 rounded off to 2 decimal places is 0.
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using a property of operations, what can you say about the sum of two expressions
Answer: Using a property of operations, what can you say about the sum of two expressions, Then the temperature changed more on Day 2.
Step-by-step explanation:
Using a property of operations, what can you say about the sum of the two expressions.
Let us assume the table of values is : Sunrise (F) = -11.31 -7.69
Sunset (F) = 13.49 25.25
Day 1 and Day 2
Sunrise Temperature (F) = -11.31 -7.69 (eq-1)
Sunset Temperature (F) = 13.49 25.25 (eq-2)
The sum of the two equations are:
Sunrise Temperature (F) = -11.31 -7.69
(F) = -19
Sunset Temperature (F) = 13.49+ 25.25
(F) = 38.74
Which day saw the greatest variation in temperature? Describe your thinking. To do this, we only compute the absolute difference in daily temperatures between the times of sunrise and sunset.
So, we can write
Day 1 = |-11.31 - 13.49|
Day 1 = 24.8
Day 2 = |-7.69 - 25.25|
Day 2 = 32.94
So, 32.94 is greater than 24.8
Therefore, Day 2 is greater than the Day 1
Hence, the temperature changed more on Day 2.
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Which statement explains the relationship between terms in the table? XOSO5 10 15 20 Each term in Pattern X is of the corresponding term in Pattern Y. Each term in Pattern X is of the corresponding term in Pattern Y. Y O 15 30 45 60 Each term in Pattern X is 3 times the corresponding term in Pattern Y. Each term in Pattern X is 5 times the corresponding term in Pattern Y.
What is the solution of the system?
4 x+2 y=4
6 x+2 y=8
(F) (-2,2)
(G) (2,-2)
(H) (1,2)
(I) (-1,2)
For the system of equations 4 x+2 y = 4 and 6 x+2 y = 8, the solution is (2, - 2).
We are given the system of equations as:
4 x+2 y = 4 … (1)
6 x+2 y = 8 … (2)
We need to solve it to find the value of x and y.
Subtracting equation (1) form equation (2), we get that:
6 x - 4 x + 2 y - 2 y = 8 - 4
Combining the like terms, we get that:
2 x = 4
x = 4 / 2
x = 2
Now put it in equation (1) to get the value of y
4 (2) + 2 y = 4
8 + 2 y = 4
2 y = - 4
y = - 2
(x, y) = (2, - 2)
Therefore, we get that, for the system of equations 4 x+2 y = 4 and 6 x+2 y = 8, the solution is (2, - 2).
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PLEASE HELP ME ASAP!!!!
Which of these is NOT a good use for a frequency chart?
A) Finding out how many pieces of pizza everyone ate
B) Finding out a percentage of a whole
C) Asking people where they went on vacation
D) All of these are good uses of a frequency chart.
Answer:
All are good ideas for a frequency chart.
But not 100% sure on A and C
Can somebody simplify this? (−8) × (-6) − (−5)²
Answer:
23Step-by-step explanation:
Can somebody simplify this?
(−8) × (-6) − (−5)² =
48 - 25 =
23
Point t is on line segment \overline{su} su . given st=3x+2,st=3x+2, tu=3x+4,tu=3x+4, and su=5x+9,su=5x+9, determine the numerical length of \overline{su}. su .
Given that Point T is on line segment SU, T is collinear with S and U, and the numerical length of SU is 24.
Since Point T is on line segment SU, then S, T, and U are collinear.
Collinear points refers to the points that lies on the same straight line.
IF S, T, and U are collinear, then the sum of the numerical length of ST and the numerical length of TU is equal to the numerical length of SU.
ST + TU = SU
Given:
ST = 3x + 2
TU = 3x + 4
SU = 5x + 9
Substitute the expressions in the equation and solve for x.
ST + TU = SU
3x + 2 + 3x + 4 = 5x + 9
3x + 3x - 5x = 9 - 2 - 4
x = 3
Substitute the value of x in the expression for SU.
SU = 5x + 9
SU = 5(3) + 9
SU = 24
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You owe $1,032.56 on a credit card with an 11.25% APR. The minimum due is $67.00
and you pay it at the beginning of the month. How much interest is accrued by the end of the month?
Interest accrued at the end of the month is $1.41.
What is the interest on credit card?Credit cards impose interest on any sums that you don't pay by the due date each month. Interest accrues everyday when you hold a balance from month to month based on the so-called Daily Periodic Rate (DPR). DPR is only another term for your daily interest charge.
Step 1: Make the initial payment of $882 ($1,032 - $150).
Step 2: $882 times 1.00938 is $890.27
Step 3: Pay $1,032 multiplied by 1.00938 ($1,041.68) at the conclusion.
Step 4. $1,041.68 - $150= $891.68
The interest for the first month is $1.41.
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What is the greatest common factor of 24 and 4?
Answer: 2
UvU This might help might not
The midpoint of BC is M(5, 2). One endpoint is B(8, 0). Find the coordinates of the other endpoint C. Write the coordinates as decimals or integers. C = (, ) Submit
The coordinate of point C from the given expression is (2, 4)
Midpoint of coordinatesThe formula for calculating the midpoint of coordinates is given by the equation shown below:
Midpoint = {(x₁+x₂)/2, (y₁+y₂)/2}
Given the following parameters
Midpoint = M(5, 2)
B(8, 0)
Required
Coordinate point C
Substitute the given parameters
5 = (8+x₂)/2
5(2) = 8+x₂
10 = 8+x₂
x₂ = 2
Similarly
2 = (0+y₂)/2
2(2) = 0+x₂
4 = 0 +y₂
y₂ = 4
Hence the coordinate of point C from the given expression is (2, 4)
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This year, a small business had a total revenue of $14,200. If this is 29% less than their total revenue the previous year, what was their total revenue the previous year?
The total revenue the previous year is $20,000
How to calculate the total revenue ?This year the total revenue of the small business is $14,200
This amount is 29% less than the total revenue in the previous year
Therefore the total revenue in the previous year can be calculated as follows
100 - 29
= 71
= 71/100
= 0.71
Total revenue= 14,200/0.71
= 20,000
Hence the total revenue the previous year is $20,000
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How many 1/3 ounce spoonfuls of salt are in a filled 4 3/4 ounce Salt shakers
Answer:15 spoonfuls
Step-by-step explanation:
(1/5) to the power of 2 X (1/5) to the power of 2
Answer: 0.0016
Step by step explanation:
Answer:
=1/5⁴ = 1/625
Step-by-step explanation:
(1/5)² (1/5)² = (1/5)⁴
= 1⁴ / 5⁴
= 1 / 625
Solve the equation.
1/3 (
(9x + 3) = 3x + 1
Answer: x=0
Step by step explanation:
1/3 (9x+3) =3x+1
=3x+1=3x+1
=3x-3x=1-1
=0x=0
So x=0
I hope this helps you! Have a nice day!!!!
4 1/4 *-1/2= I really help on this it's for homework and I don't know if our teacher will be helping with it so please please please will somebody help me please.
Evvie has these dight card 4 5 0 8 2 she makes them into 6 digit number larger than 300.000 and smaller than 400.000
Step-by-step explanation:
500.000 evvie was on the digit card
work out the mean for this data set: 9.1, 1, 3.7, 6.1, 9.8
Answer: 5.94
Step-by-step explanation: In order to find the mean, you first add up all the values in the data set and then divide this number by the number of values!
Hope it helps ^^
given that x is a number that is not negative, kelvin conjectured that x2>x 1. which value is a counterexample to kelvin's conjecture? −12 negative one half −2 negative 2 0 0 5
0 is a counterexample to Kelvin's conjecture.
Firstly rewriting the expression -
x²>x + 1
Now, we will use hit and trial method to find the counterexample to Kelvin's conjecture.
We can not use first two options, because question mentions that x is not negative. So, starting our hit and trial method from 0.
We will keep the value in expression to find the result -
0²>0 + 1
0 > 1
This contradicts or opposes Kevin's statement, as 0 is not greater than 1.
Trying the second number -
5²>5 + 1
25 > 6
This is in accordance with Kevin's conjecture or conclusion, as 25 is greater than 6.
Hence, 0 is the value which is a counterexample to Kelvin's conjecture.
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The complete question is -
Given that x is a number that is not negative, Kelvin conjectured that x^2>x+1 .
Which value is a counterexample to Kelvin's conjecture?
−12
−2
0
5
Hello Please Help for Brainlist +20 points its a geometry Question !!! (Math)
20 degrees is your angle