The inequalities that have the same graph as x<4 are:
x+6 < 105x < 20 x-2 > 2Hence, option(B) , (C) and (D) are correct.
What is inequality?An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.
x +6 < 10 ⇒ x < 10-6 ⇒ x < 4
5x < 20 ⇒ x< 20/5 ⇒ x < 4.
x-2 > 2 ⇒ x < 2 + 2 ⇒ x < 4.
Hence, option(B) , (C) and (D) are correct.
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Your question is incomplete but most probably the question was:
Select all the inequalities that have the same graph as x <4.
A. x < 2.
B. x+6 < 10
C. 5x < 20
D. x-2 > 2
E. x <8
Multiply = 4/7 x 5 1/4
please help me
Answer:
3
Step-by-step explanation:
[tex]\displaystyle \frac{4}{7}*5\frac{1}{4}=\frac{4}{7}*\frac{21}{4}=\frac{21}{7}=3[/tex]
Which of the following is not true about cluster sampling?
Cluster sampling has the advantage of reducing sampling variability.
Cluster sampling has the advantage of saving time and money.
Cluster sampling uses clusters, which are miniature, nonoverlapping versions of the population.
Cluster sampling uses randomly selected clusters and samples everyone within each cluster.
answer is A
The option that is not true about cluster sampling is option A: Cluster sampling has the advantage of reducing sampling variability.
What is cluster sampling?
Cluster sampling often leads to larger sampling variability than other types of sampling methods, such as simple random sampling or stratified sampling, because clusters may not be a representative sample of the population and the individuals within a cluster may be more similar to each other than to individuals in other clusters.
Therefore, This increases the chance that the sample will not be representative of the population, which can result in a higher level of sampling error.
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Find the 7th term of the geometric sequence whose common ratio is 3/2 and whose first term is 5
The 7th term of the geometric sequence is 3675/64.
A geometric sequence is a sequence of numbers where each term is found by multiplying the previous term by a constant called the common ratio.
The 7th term of a geometric sequence can be found using the formula:
a_n = a_1 * (r)^(n-1) where a_1 is the first term of the sequence, r is the common ratio, and n is the position of the term in the sequence.
Given that the common ratio is 3/2 and the first term is 5, we can substitute these values into the formula:
a_7 = 5 * (3/2)^(7-1)
After solving the expression we get:
a_7 = 5 * (3/2)^6 = 5* (243/64) = 15*243/64 = 3675/64
So the 7th term of the geometric sequence is 3675/64.
Therefore, the 7th term of the geometric sequence is 3675/64.
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The length of a rectangle is 2.72 feet and the width is 3.81 feet. Find the area
Answer:
area of rectangle = length× width
2.72×3.8110.3632feet²hope it helps.5. In the diagram below, AB is tangent to circle C at point D and AC is perpendicular to BC. If mA = 28 then which of the
following is the measure of DCB
(1) 14
(2) 28
(3) 56
(4) 62
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Ruby buys a jacket. She saves $48 with a 30% off coupon.
a) What was the original price of the jacket?
b) How much did Ruby pay for her jacket?
Show or explain your work.
Answer: see below...
Step-by-step explanation:
a)
48 = 30%
100/30 = 10/3
48 x (10/3) = 160
$160 = 100%
b)
160 - 48 = $112
Lenny paid $13 for 4 1/3 pounds of apples.
How many pounds of apples can he buy
for $29?
Answer: 9 2/3
Step-by-step explanation:
you take 29 and divide by 13 to get 2.23076923077 and you then take that times the 4 1/3 to get 9 2/3
Answer:
Step-by-step explanation:
13(X-4 1/3)=29
13X-56.3=29
+56.3 = +56.3
13X=85.3
X=6.56
solve the inequality. -7x < 35
[tex]-7x < 35[/tex]
Divide both sides by -7:
[tex]\dfrac{-7x}{-7} < \dfrac{35}{-7}[/tex]
Since we are dividing by a negative number, the sign will reverse.
[tex]\fbox{x} > \fbox{-5}[/tex]
The solution to the given inequality is x > -5 which represents a set of all real numbers x that are greater than -5.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
The inequality is given in the question, as follows:
-7x < 35
To solve the inequality -7x < 35, we first need to isolate the variable (x) on one side of the inequality.
We will divide both sides of the inequality by -7 (since -7 is being multiplied by x on the left side).
However, when we divide or multiply both sides of an inequality by a negative number, we must reverse the inequality symbol. So the inequality becomes:
x > -5
This inequality can be read as "x is greater than -5." It is the solution set of all real numbers x that is greater than -5.
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3. Birr 6,500 was divided equally among a certain number of persons. Had there been 15 more persons, each would have got Birr 30 less. Find the original number of persons.
If the population grows by 15 people. The original number of people was 50, hence the new share of each person was Rs. (which is refused).
What is meant by Mathematical equation?The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the symbol "equal."
Let no. of persons = x
Each person get
= 6500/x
If there 15 persons were added more
= 6500/(x + 15)
(6500/x) - 6500/(x + 15) = 30
[tex]\Rightarrow 6500\left[\frac{(\mathrm{x}+15)-(\mathrm{x})}{\mathrm{x}(\mathrm{x}+15)}\right]=30[/tex]
[tex]\Rightarrow 6500\left[\frac{x+15-x}{x^2+15 x}\right]=30[/tex]
[tex]& \Rightarrow 1625\left[\frac{15}{x^2+15 x}\right]=3 \\[/tex]
Then,
[tex]& \Rightarrow \frac{24375}{x^2+15 x}=3 \\[/tex]
Simplifying the above equation,
[tex]& \Rightarrow 3 x^2+45 x=24375 \\[/tex]
[tex]& \Rightarrow 3 x^2+45 x-24375=0 \\[/tex]
[tex]& \Rightarrow x^2+15 n-3250=0 \\[/tex]
[tex]& \Rightarrow x^2+(65 n-50 n)-3250=0 \\[/tex]
Then we get,
[tex]& \Rightarrow x^2+65 n-50 n-3250=0 \\[/tex]
[tex]& \Rightarrow x+65)-50(x+65)=0[/tex]
[tex]\Rightarrow(\mathrm{x}-50)(\mathrm{x}+64)=0[/tex]
x = 50, x = -65
Since the number of people cannot be zero,
the number of people is 50.
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What is the solution of
2+4/9x ≥ 4+x?
Answer:
x < -18/5
this is the answer of you problem
What is the coefficient of x² in 3x 5?
The coefficient of the variable x² in the expression 3x+5 is 0
Given that,
The expression is 3x+5
To find : The coefficient of the variable x² in the expression
Coefficient is the number that is beside the variable in the equation.
The coefficient of x in 3x+5 is 0
A number multiplied by a variable is referred to as the coefficient of a number. For instance, the x2 coefficient in the formula 6x2+99 is 6
As we can see that the term that is in multiplication with x² is 3.
Hence, the coefficient of x² in the equation 3x+5 is 0.
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Find the reciprocal form of 12/24
Answer:
24/12 = 2/1 = 2
Step-by-step explanation:
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
Reciprocal :-[tex] \frac{12}{24 } \\ = \frac{24}{12} [/tex]
Reciprocal in simplified form :-[tex] \frac{24}{12} \\ = \frac{2}{1} \\ = 2[/tex]
____________________
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What is the slope of the line that passes through (-2,3) and (2, 11) ?
Answer:
2
Step-by-step explanation:
y2 - y1 / x2 - x1
11 - 3 / 2 - (-2)
8 / 4
= 2
b.94 inches?
2. At a hardware store, a tool set normally costs $80. During a sale this week, the toc
set costs $12 less than usual. What percentage of the usual price is the savings?
Explain or show your reasoning.
Answer:
12%
Step-by-step explanation:
Find the surface area of the prism.
Answer:
2 x 5 = 10, 10 x 2 = 20
4 x 2 = 8, 8 x 2 = 16
5 x 4 = 20, 20 x 2 = 40
40 + 20 + 16 = 76 yd^2 is your answer.
Answer: 76 yds
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PLEASE HELP!!!!!!!!!!!!!!!!!!
9514 1404 393
Answer:
11 73/78 ≈ 11.9359 (not 14)
Step-by-step explanation:
The similarity statement tells us ...
QS/QR = FG/FH
QS = QR·FG/FH
13x -14 = 154(55/60) = 847/6
Adding 14 = 84/6, we have ...
13x = 931/6
x = 931/78 = 11 73/78 . . . . . . . divide by 13
__
Comment on the question
You get a nice integer answer for x if the similarity statement is written ...
∆FGH ~ ∆QRS . . . . . . . note the letters are in alphabetical order
Then you have ...
QS/QR = FH/FG
13x -14 = 154(60/55) = 168
13x = 182
x = 14
This nice answer to a nice similarity statement leads us to believe the question has an error in it.
We suspect you are expected to provide x=14 as the answer, even though that is NOT the answer to the question as written. You may want to discuss this with your teacher.
Fifteen percent of the cars in a parking lot are green. If there are 45 green cars, how many cars are there in the parking lot?
In a market survey, 100 traders sell fruits. 40 sell apples, 46 oranges, 50 mangoes, 14 apples and oranges, 15 apples and mangoes and 10 sell all three fruits each of the 100 traders sell at least one of the three fruits. (A) how many traders sell only one fruit. (B) how many traders sell only two fruits.
a) The number of traders who sell only one fruit is given as follows: 88.
b) The number of traders who sell only two fruits is given as follows: 9.
How to obtain the amounts?The amounts are obtained using Venn sets in the context of this problem.
The sets are given as follows:
Set A: sells apples.Set B: sells oranges.Set C: sells mangoes.10 sell all three fruits, hence:
A ∩ B ∩ C = 10.
15 vendors sell apples and mangoes, hence:
(A ∩ C) + (A ∩ B ∩ C) = 15
(A ∩ C) = 5.
14 vendors sell apples and oranges, hence:
(A ∩ B) + (A ∩ B ∩ C) = 14
(A ∩ B) = 4.
Hence the number who sell two of them is of:
(A ∩ B) + (A ∩ C) = 4 + 5 = 9.
50 vendors sell mangoes, hence:
C + (A ∩ C) + (A ∩ B ∩ C) = 50
C = 35.
46 vendors sell oranges, hence:
B + (A ∩ B) + (A ∩ B ∩ C) = 46
B = 32.
40 vendors sell apples, hence:
A + (A ∩ B) + (A ∩ C) + (A ∩ B ∩ C) = 40.
A + 9 + 10 = 40
A = 21.
Hence the number of vendors who sell only one fruit is given as follows:
A + B + C = 21 + 32 + 35 = 88.
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fred spent a total of $170 for a tent and 2 sleeping bags each sleeping bag cost $35 which equation can be used to find T the cost of the tent NO SCAM LINKS
A. T=170-( 2x35 )
B. T= (170 divided by 2) +35
IS this statement true. When two conjugates are multiplied, the product is a
difference of two squares
Therefore the product of two conjugates is a difference of two squares.
What are conjugates?When two binomials have the same terms but different arithmetic operators in the center of these related words, they are said to be conjugate. For instance, the conjugate of p + q is p - q.
Define binomial numbers.An integer known as a binomial number is produced by evaluating a homogeneous polynomial with two terms, also known as a binomial.
This statement is true.
The conjugates of a complex number are two complex numbers that differ only in their signs. They are of the form a + bi and a - bi.
When two conjugates are multiplied, the product is (a + bi)(a - bi) = a^2 + (bi)^2 = a^2 - b^2 + (2abi) = (a^2 - b^2) + (2ab)i.
which is in the form (a^2 - b^2) + (2ab)i = (a^2 - b^2) + (2ab)i = (a+b)(a-b)
So the product of two conjugates is a difference of two squares.
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Mr. Nunez brought 2 1/2 cake to chool for her cla. If there are 15 people in the cla ,including Mr. Nine, how much of the cake will each peron receive
Each person present in Mrs. Nunez's class is going to receive 1/6th part of the cake when they get it cut.
Mr. Nunez brought 2 ½ cakes for 15 people which means, 2 ½ cakes will be equally divided into 15 pieces and distributed to each person. Since 2 ½ is a mixed fraction we have to convert it into a regular fraction which will be equal to 5/2. So, the amount of cake a person will receive is equal to (5/2)/15 which is 1/6, which is roughly 0.167 part of the whole cake.
The given problem has been solved by using the properties of fractions.
The complete question that you might be looking for is-
Mrs. Nunez brought 2 1/2 cake to school for her class. If there are 15 people in the class, including Mr. Nine, how much of the cake will each person receive?
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For what value of k is 4x 2 8xy k * y 2 9 The equation of a pair of straight lines?
The value 'k' for which '4x^2 + 8xy + ky^2 = 9' is the second degree equation of a pair of straight lines is 4.
Therefore the answer is 4.
A general second-degree equation of a pair of straight lines is given by:
ax² + 2hxy + by² + 2gx + 2fy + c = 0
Where a, b, c, d, e, and f are constants, x and y are variables.
For the equation to represent a pair of straight lines, the following conditions must be met :
abc + 2fgh - af² - bg² - ch² = 0
In the equation 4x^2 + 8xy + ky^2 = 9, a = 4, h = 4, b = k, g = f = 0 and c = -9.
That is 4×k×(-9) + 2×0×0×4 - 4×0² - k×0² + 9×4² = 0
4×k×9 = 9×4²
k = 4
--The question is incomplete, complete question is given below--
"For what value of k is 4x^2 + 8xy + ky^2 = 9 the equation of a pair of straight lines?"
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The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8. Let
x represent the number of new releases, and let y represent the number of classics. If the librarian had a budget of
$500 and wanteho purchase as many DVDs as possible, which values of x and y could represent the number of new
release and classie movies bought?
O x= 8, y = 45
O x= 10, y = 22
O x = 16. Y = 22
Ox= 18, y=18
Mark this and return
Save and Exit
Next
Submit
The Correct answer is option (C) x = 16. Y = 22 . number of new-release movies on DVD is 16 and the number of classic movies on DVD is 22 .
What is linear equation?An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.
Given,
To find the values of X and Y,
Let x = number of new releases
Let y = number of classics.
The equation to solve the question is ,
20x + 8y = 500
When x= 16 and y = 22
= 20x + 8y
= 20(16) + 8(22)
= 320 + 176
= 496
Therefore, the number of new-release movies on DVD is 16 and the number of classic movies on DVD is x= 16, y = 22
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The steepness of a ramp is graphed using the points (0,3) and (36,0). The steepness of a second ramp is represented by the function g(x)= -1/4x+2. What is the slope of the ramp?
The slope of a line is a measure of its steepness and can be calculated using the formula:
slope = (y2 - y1) / (x2 - x1)
In this case, the points (0,3) and (36,0) represent the coordinates of two points on the ramp. To find the slope of the ramp, we can plug these values into the formula:
slope = (0 - 3) / (36 - 0) = -3 / 36 = -1/12
The slope of the ramp is -1/12. This indicates that the ramp is relatively flat, as a negative slope means that the line is sloping downward.
To find the slope of the second ramp, represented by the function g(x) = -1/4x + 2, we can take the derivative of the function. The derivative of a function represents the slope of the function at any given point, and it is calculated using the formula:
derivative = f(x) = -1/4
The derivative of the function g(x) is a constant value of -1/4, which means that the slope of the second ramp is also -1/4. This is a steeper slope than the first ramp, as the value of the derivative is larger in magnitude.
What is an equation of the line that passes through the point (-5,-6) and is parallel to the line 4x−5y=35?
Answer: To find an equation of the line that passes through the point (-5,-6) and is parallel to the line 4x−5y=35, we can use the fact that two lines are parallel if and only if they have the same slope.
The slope of the line 4x−5y=35 is -4/5. Therefore, we can find an equation of the line that passes through (-5,-6) and is parallel to 4x−5y=35 by using the slope-intercept form of a linear equation, y = mx + b, where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis).
Substituting the values into the slope-intercept form, we get:
y = (-4/5)x + b
To find the value of b, we can substitute the coordinates of the point (-5,-6) into the equation:
-6 = (-4/5)(-5) + b
-6 = 8/5 + b
-6 - 8/5 = b
-24/5 = b
Therefore, the equation of the line that passes through the point (-5,-6) and is parallel to the line 4x−5y=35 is:
y = (-4/5)x - 24/5
This can also be written as:
y = -4/5x - 24/5
Step-by-step explanation:
Consider the system of equations.
x = 8 - 2y
x + 3y = 12
What value of x satisfies the system of equations?
ΟΑ.4
ОВ. 0
OC. 16
OD. 5
Answer:
B
Step-by-step explanation:
The answer is 0, trust me
(-1,1) ,(-1,4) and (1,4) are the vertices of which traingle
Answer:
(-1, 1), (-1, 4), and (1, 4) are the vertices of a right triangle.
Step-by-step explanation:
If you were to graph these three points on a coordinate plane, you'll notice that two of the sides form a right angle together, which means this triangle will be a right triangle. If you're looking for something more specific, it would be a right scalene triangle, where all sides are different in a right triangle.
The third pistachio Farm Top Choice Ponce intends to set up shop next weekend at the farmers market in order to immediately win over all the customers who shopped there talk to a sponge promises are pistachios will cause 20% less when the next cheapest Farm it will cost talk to his Farms $125 to rent a booth at the farmers market in Top Choice Farm sell out of their food 3520 ounces of pistachios at their promise low low price how much profit will they make after paying for Farmers Market booth ?
If it cost them $125 to rent a booth at the farmers market, then their profit will be $2816 - $125 = $2691.
Top Choice Ponce farm wants to set up a booth at a farmers market next weekend, they promise to sell their pistachios at 20% cheaper than the next cheapest farm. They plan to sell 3520 ounces of pistachios at $0.8 per ounce.
The booth rent cost them $125. To calculate the profit, they will subtract the booth cost from the total revenue of pistachios which is $2816. Therefore, their profit will be $2691. They will make this profit after paying for the Farmers Market booth.
If Top Choice Farm's pistachios are 20% cheaper than the next cheapest farm, and the next cheapest farm's pistachios cost $1 per ounce, then Top Choice Farm's pistachios will cost $1 - $1 × 20% = $0.80 per ounce.
If they sell 3520 ounces of pistachios at $0.80 per ounce, then their total revenue from pistachios will be 3520 × 0.8 = $2816
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Marcus bought a rug for a hallway. The rug measures 0.5 meter by 2.5 meters. Which is the area of the rug?
Answer:
1.25 meters
HOPE THIS HELPS
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Step-by-step explanation:
.5*2.5=1.25
Kourtney and Kayla are sisters who are taking the same classes this semester: MAT 003, CHM 131/3131A, and ACA 122. If kourtney earns a pee a P in MAT 003, a B in CHM 131A, and an A in ACA, then what will her GPA be?
A. 3. 5
B. 3. 2
C. 2. 58
D. 3. 8
the GPA for the current semester will be 3.5.
What is GPA?
A metric used to assess your performance throughout the course of your complete degree program is your grade point average.
The average grade point average (GPA) is a figure that represents your typical performance in classes over the course of a semester, term, or year. In line with how much you raise your overall grade point average over your time at the university, your typical GPA score will fluctuate (or, in some cases, how much you fall behind).
A pass grade is a P, an A is a grade of excellent performance worth 4 points per credit, and a B is a grade of good performance worth 3 points per credit. The grade averages do not take P grade into account.
MAT 003, CHM 131a, and ACA 122 each have three, one, and two credits. Thus, the final score is 3 + 1 + 1 = 5. P in MAT 003, B in CHM 131a, and A in ACA 122 are the grades she receives.
GPA can be calculated by
GPA = ( 3 × 1 + 4 × 1)/ 5
GPA = ( 3 + 4)/ 5
GPA = 3.5
Hence the GPA for the current semester will be 3.5.
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