Answer:
50 miles.
Step-by-step explanation:
You can visualize this as a triangle. the west route is one leg and the south route is the other. The distance from the starting point is the hypotenuse. 48^2+14^2=c^2, c=50.
Answer:
50
Step-by-step explanation:
[tex]48^{2} + 12^{2} = x^{2} \\X= 50[/tex]
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Answer:
step 3 it is
.. . . . . . . . . . .. . . . .. .
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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Determine the missing angle measure.
Answer:
38°
Step-by-step explanation:
We have supplementary angles, which mean they add up to 180°, so we can simply solve for x° by doing 180°-142°=38°
Answer:
X=38 degrees
Step-by-step explanation:
A straight line is 180 degrees so to find the missing part you can do 180-142.
That way you get the missing angle measurement.
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
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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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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Pat is making rectangular placemats each with area 1200cm2 she wants to braid trim around the edges how much trim does pat need for the placemat
Pat needs 16[tex]\sqrt{1200}[/tex]cm of trim for each placemat to braid trim around the edges.
To find out how much trim Pat needs for each placemat, we need to first find the perimeter of the rectangle.
The area of the rectangle is given as 1200 [tex]cm^2[/tex].
The perimeter of the rectangle is the sum of all four sides of the rectangle. If the length and breadth of the rectangle are L and B respectively, then the perimeter P can be calculated using the formula:
P = 2(L+B)
Now, let's find the length and breadth of the rectangle using the area formula,
Area = LB = 1200 [tex]cm^2[/tex]
so LB = 1200 [tex]cm^2[/tex]
Now we can substitute the value of L and B in the perimeter formula
P = 2(L+B) = 2(sqrt(1200)+sqrt(1200))
As the area of the rectangle is given as 1200[tex]cm^2[/tex] , the length and breadth can be calculated as [tex]\sqrt{1200}[/tex]cm.
So the perimeter of the rectangle is
P = 2*([tex]\sqrt{1200}[/tex] + [tex]\sqrt{1200}[/tex])
= 2*2[tex]\sqrt{1200}[/tex]
= 4[tex]\sqrt{1200}[/tex]cm
To find the total length of trim Pat needs for the placemat, we need to multiply the perimeter by the number of edges that need a trim. Since the edges are around the rectangular placemat, so it will be 4 edges.
So, the total length of trim Pat needs for the placemat is
P4 = 4[tex]\sqrt{1200}[/tex]*4 = 16[tex]\sqrt{1200}[/tex]cm
So Pat needs 16[tex]\sqrt{1200}[/tex]cm of trim for each placemat.
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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?
If the radius of a sphere is doubled, by how many times has its volume been increased
Answer:
8 times larger than the original
Step-by-step explanation:
In any three dimensional object, cube sphere, cone, etc., if all of its dimensions increase by a factor of x then its volume increases by a factor of x³
In this case the dimensions double, so the volume increases by a factor of 2³ = 8
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
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
Dawson says that the expression (2 4/10+ 8 4/5)-3 1/5 is equal to a whole num do you agree explain hurry
If Dawson says that the expression [tex](2\frac{4}{10}+8\frac{4}{5})-3\frac{1}{5}[/tex] is equal to a whole number , then we can say that Dawson is correct .
The Mixed fraction expression is given as : [tex](2\frac{4}{10}+8\frac{4}{5})-3\frac{1}{5}[/tex] ;
first , we need to convert the mixed fraction in to simpler fractions ,
On converting ,
we get ;
the expression as : [tex](\frac{24}{10}+\frac{44}{5})-\frac{16}{5}[/tex] ;
taking the LCM of 10 and 5 as 50 ,
we get ;
⇒ [tex](\frac{24}{10}+\frac{88}{10})-\frac{16}{5}[/tex]
⇒ [tex](\frac{112}{10})-\frac{16}{5}[/tex]
Simplifying further ,
we have ;
⇒ [tex](\frac{112}{10})-\frac{32}{10}[/tex] ,
⇒ [tex]\frac{80}{10}[/tex]
= 8 , which is a whole number .
Therefore , we can agree with Dawson's statement that the expression [tex](2\frac{4}{10}+8\frac{4}{5})-3\frac{1}{5}[/tex] equals to a whole number "8" .
The given question is incomplete , the complete question is
Dawson says that the expression ([tex]2\frac{4}{10}[/tex] + [tex]8\frac{4}{5}[/tex]) - [tex]3\frac{1}{5}[/tex] is equal to a whole number . Do you agree ? Explain .
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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
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.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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What is the 8th term of the linear sequence below?
6
,
13
,
20
,
27
,
34
,
.
.
.
Answer:
55
Step-by-step explanation:
Hope it helps! :D
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]
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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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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What is the solution of
2+4/9x ≥ 4+x?
Answer:
x < -18/5
this is the answer of you problem
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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
Cheese costs $1.80 per pound. Samira bought some cheese. She paid with a 5 dollar bill and got $1.40 in change. How many pounds of cheese did she buy?
Answer:
2 pounds of cheese
Step-by-step explanation:
First, we have to find out how much did she pay by taking
$5.00 - $1.40 = $3.60
So, she paid $3.60 in total. Then we find how many pounds of cheese she bought by taking
3.60 / 1.80 = 2 pounds of cheese
So, she bought 2 pounds of cheese.
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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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:
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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(-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.
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
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.
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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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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