The solution to the system of linear equations 3x + 2y = 14 and 5x + y = 32 is (x, y) = (6, 10).
3x + 2y = 14
5x + y = 32
Subtracting 3x from both sides of the first equation:
2y = 14 - 3x
Substituting this into the second equation:
5x + (14 - 3x) = 32
Simplifying:
8x = 18
x = 18/8
x = 2.25
This x value is substituted into the first equation.:
2y = 14 - 3(2.25)
2y = 14 - 6.75y
= 7.25
The solution is (x, y) = (2.25, 7.25)
The solution to the system of linear equations 3x + 2y = 14 and 5x + y = 32 is (x, y) = (2.25, 7.25). To solve the system, we first subtracted 3x from both sides of the first equation and then substituted this into the second equation. After simplifying, we obtained a value of x, which we then substituted into the first equation to obtain a value of y. This gave us the solution (x, y) = (2.25, 7.25).
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To determine the mean number of children per
household in a community, Tabitha surveyed
20 families at a playground. For the 20 families
surveyed, the mean number of children per
household was 2.4 .4 Which of the following
statements must be true?
A) The mean number of children per household in
the community is 2.4 .
B) A determination about the mean number of
children per household in the community should
not be made because the sample size is too small.
C) The sampling method is flawed and may
produce a biased estimate of the mean number
of children per household in the community.
D) The sampling method is not flawed and is likely
to produce an unbiased is not flawed and is likely
number of children per household in the
community.
True statement is number C.
What is biased and unbiased sample in statistics?
The method of sampling where a portion of population are given priority over the rest of the population is called biased sample.
In the unbiased sampling method almost, each population is valued, and they are given chance to be selected in the data list.
flawed sampling means the method of sampling is inappropriate such as survey works that taken in non-random way. As example, researchers start to ask people walking in the street.
Which statement is true as given in question?The survey was taken at a playground on 20 families.
the survey estimated that mean number of children per household in the community was 2.4.
The main purpose of the survey was to determine the mean number of children per household in the community.
but the survey study was held at the playground and the sample size is too small.
The above data could not give the true estimation.
So, the sampling method is flawed and may produce a biased estimate of the mean number of children per household in the community.
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Find the sum: (35s − 7 +23t) + (212 − 16t − 310s)
Answer:
-275s+205+7t
Step-by-step explanation:
since it is addition, you can just remove the parentheses without doing anything else. Then just add the ones with the same coefficients.
How can you find 50% of any number? Select all that apply.
Divide by 50
Find 1/2 of the number.
Divide the number by 2.
Divide by 100.
Bro can someone please help me on these three questions I’ve been trying to get help on these questions for like the past 30 minutes please help me
Answer:
Step-by-step explanation:
1). By applying cosine rule in the given triangle,
cos(x°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(x°) = [tex]\frac{6}{8}[/tex]
x = [tex]\text{cos}^{-1}(\frac{3}{4} )[/tex]
x = 41.41°
2). By applying cosine rule in the given triangle,
cos(x°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(x°) = [tex]\frac{4}{5}[/tex]
x = [tex]\text{cos}^{-1}(0.8)[/tex]
x = 36.87°
3). By applying cosine rule in the given triangle,
cos(x°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(x°) = [tex]\frac{51}{85}[/tex]
x = [tex]\text{cos}^{-1}(0.6)[/tex]
x = 53.13°
What are logarithms used for?
Logarithms are used for a variety of purposes in mathematics, science, engineering, and other fields. Some common uses of logarithms are mentioned below:
What are functions?A function in mathematics from a set X to a set Y allocates precisely one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
What are exponential function?The mathematical expression f(x)=exp or ex denotes the exponential function. The word, unless specifically stated differently, normally refers to the positive-valued function of a real variable, however it can be extended to the complex numbers or adapted to other mathematical objects like matrices or Lie algebras.
They are used for:
Solving exponential equationsCompressing dataMeasuring the Richness of a signalComparing quantitiesSolving problems in physics and engineeringIn finance, it is used for financial modelings, such as the Black-Scholes model for pricing optionsIn computer science, it is used for information theory in the analysis of algorithms, complexity theory, and data compression.To learn more about exponential visit:
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Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Answer:
5.(x+7)(4x2+7)
6.(b−3x)(3x2−1)
please help ill give 50 points
Answer:
[tex]64 m^{2}[/tex]
Step-by-step explanation:
10 x 4 = 40
8 x 3 = 24
40 + 24 = 64
Mark as brainllest
Easy question! Will mark brainiest if you show steps
What value of x makes this equation true?
x/3 − 3 = x/9 + 3
A. 3
B. -9
C. -1
D. 27
Answer:
D.27
Step-by-step explanation:
I took a picture of my work doing a explanation.
(sorry for the messy hand writing)
Which of the following functions has a vertex of (-1,2)?
Choose 3.
f(x) = (x + 1)^2 + 2
g(x) = x^2 - 1x + 2
h(x) = -x^2 + 2
r(x)= x^2+2x+3
t(x) = -(x + 1)^2 + 2
Answer:
f(x) , r(x), t(x)
Step-by-step explanation:
Austin had 1200 apples eaten in his hole life. Austin is 22 years old . how many apples did he eat per year?
Answer:
54 apples
Step-by-step explanation:
i know that he most likely didnt eat the same amount of apples per year but, if you divide the number of apples he ate overall by his age you get 54 apples.
A veterinarian weighs three cats. The
American Shorthair weighs 13.65 pounds.
The Persian weighs 13.07 pounds, and
the Maine Coon weighs 13.6 pounds.
List the cats in order from least to
greatest weight.
Answer:
Least to greatest.
Persian, Maine Coon, and American Shorthair
Find the surface area and round to the nearest hundredths place when necessary.
Answer:
6 x 14 = 84
84 x 2(since there are two small rectangles) = 168
22 x 6 = 132
132 x 2 = 264
264 x 2(since there are two of the same shape) = 528
22 x 14 = 308
308 x 2(since there are two of the same shape) = 616
Now we add up all the areas:
168 + 528 + 616 = 1312 square cm is your answer.
DEFG is a square with vertices at D(1, 1), E(1,6), F(6, 6), and G(6, 1). DEFG is reflected in the line x = 1. Find the coordinates of
D',E,F, and G'.
By considering the reflection, the coordinates of the reflected square D'E'F'G' are:
D'(0,1) , E'(0,6), F'(5,6) and G'(5,1)
What is square?A square is a two-dimensional geometric shape that has four equal sides and four right angles. It is a type of rectangle, but with all sides equal. The opposite sides of a square are parallel and of equal length. A square can be defined by its side length or by the coordinates of its vertices.
What is reflection?Reflection is a type of transformation in geometry in which a shape is flipped over a given line, called the line of reflection. The image that is created is a mirror image of the original shape. The line of reflection can be a horizontal line, a vertical line, or any line that is not parallel to the axes. Reflecting a shape over a line involves taking the coordinates of each point of the shape and applying a specific rule (such as multiplying or adding a constant) to the x or y coordinate, depending on the line of reflection. This rule is often simple and easy to apply, such as reflecting over x = 1. The reflected shape will be in the same plane as the original shape but with a different orientation or position.
When a square is reflected in the line x=1, each of the points on the square will have their x-coordinate replaced by 1 subtracted from their original x-coordinate.
The coordinates of the reflected square D'E'F'G' can be found by applying this rule to the original coordinates of square DEFG:
D(1,1) => D'(1-1,1) => D'(0,1)
E(1,6) => E'(1-1,6) => E'(0,6)
F(6,6) => F'(6-1,6) => F'(5,6)
G(6,1) => G'(6-1,1) => G'(5,1)
So the coordinates of the reflected square D'E'F'G' are:
D'(0,1) , E'(0,6), F'(5,6) and G'(5,1)
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please uhm help me heh
Answer:
d=90°
e=81°
f=99°
Step-by-step explanation:
To find f
180-81
=99
Answer:
d = 90°
e = 81°
f = 99°
Step-by-step explanation:
Have a nice day!
Marc's brownie pan, shown below, has a pair of parallel sides. Each day, Marc's family is going to eat 100 square centimeters of brownie from the pan. For how many days does Marc's family have brovnics before they run out? top:29 bottom: 41 side : 20
Determine how many square centimeters make up a square meter in order to determine how long Marc will have brownies before they run out.
How to calculate a square meter?We must first determine the number of square centimeters in a square meter in order to determine how many days Marc has left of brownies before they run out. A square meter has 3.6 square meters in it.
Because of this, Marc has access to brownies for 3.6 days until they are finished.
Knowing the dimensions of a square or rectangle will allow you to compute its square meters. Also known as the shape's area, this term is used. Length times width equals m2, which is the formula used to calculate square meters. As an illustration, if your square is 3 meters long and 2 meters wide, 3 x 2 equals 6 meters2.
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What is the length of the leg (b) of the triangle?
Answer:
20
Step-by-step explanation:
c² = a² + b²
25² = 15² + b²
625 = 225 + b²
b² = 625 - 225
= √400
= 20
Find the theoretical probability that a 12-month calendar is turned to the month of May or the month of June. Write your answer as a fraction in simplest form.
Probability that the calendar turned to month of May or June is 1/6.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Total number of months = 12
Suppose that a calendar is turned.
Probability that the calendar turned to month of May = 1/12
Probability that the calendar turned to month of June = 1/12
Probability that the calendar turned to month of May or June = 1/12 + 1/12
= 2/12
= 1/6
Hence the probability that the calendar turned to month of May or June is 1/6.
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i have a procrastination problem so um yay points for free #momboss
Answer:
Thanks
Step-by-step explanation:
ADDFFFG
Please answer correctly! Afterwards I’ll mark you brainlist!
Answer:
Area:80mi^2
Perimeter:40mi
Step-by-step explanation:
question: 49a+26+11–3–6
Answer:
49a + 28
Step-by-step explanation:
Answer:
49a+28
Step-by-step explanation:
49a+26+11–3–6
49a+26+11-9
49a+26+2
49a+28
Brainliest!!!
Dange measures and finds that she can do a vertical jump that is27.5 % her height f dange can jump 13.2 inches how tall is she
The height of Dange who can jump 27.5% of her height is 10.4 inches.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Dange measures and finds that she can do a vertical jump that is 27.5 % of her height f and the distance of the jump is 13.2 inches.
Therefore. (100 + 27.5)% = 127.5% of f is 13.2 inches, This can be numerically expressed as,
(127.5/100)×f = 13.2.
1.275f = 13.2.
f = 13.2/1.27.
f = 10.4 feet.
So, The height of Dange is 10.4 inches.
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Find the volume of a triangular pyramid with a right triangular base that has leg lengths of 8.4 centimeters and 9.2 centimeters and a height of 6.2 centimeters.
Answer:
9.2+8.4+6.2
Step-by-step explanation:
hope that helps
What is the solution to this system of linear equations 2x 3y equals 3?
The solution to this system of linear equations is x = 3, y = 2.
2x - 3y = 3
2x = 3 + 3y
2x = 3y + 3
x = (3y + 3) / 2
x = 3/2 + 3/2y
x = 3, y = 2
This system of linear equations features two unknown variables, x and y. The equation 2x - 3y = 3 can be rearranged into 2x = 3y + 3. This equation can then be solved for x by dividing both sides by 2, resulting in x = 3y + 3/2. Since 3y + 3/2 must equal 3, this means that y must equal 2. Substituting 2 for y in the original equation yields 2x = 3 + 3(2), or 2x = 9. Dividing both sides by 2 yields x = 9/2, or x = 3. Therefore, the solution to this system of linear equations is x = 3 and y = 2.
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The solution to the system of linear equations 2x + 3y = 3 is x = 1 and y = -1/3.
1. Rewrite the equation in standard form is
2x + 3y = 3
2. Subtract 2x from both sides of the equation:
3y = 3 - 2x
3. Divide both sides by 3:
y = (3 - 2x)/3
4. Solve for x by substituting y in the original equation:
2x + 3(3 - 2x)/3 = 3
5. Simplify and solve for x:
2x + 3 - 2x = 3
x = 1
6. Substitute x into the equation y = (3 - 2x)/3
y = (3 - 2(1))/3
y = -1/3
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The Taylor family had a $74 dinner bill. How
much did they pay after including an 18%
tip?
Answer:
$87.82
Step-by-step explanation:
You do $74 divided by .18 which gets you $13.82. Then you add $74 and $13.82 which gives you the total, $87.82
Choose all the conversion factors that relate cups to fluid ounces. 8fl oz1c 8c1fl oz 1fl oz8c 1c8fl oz 4fl oz2c
Answer:
[tex]1\ c = 8\ fl\ oz[/tex]
[tex]\frac{1}{8}\ c = 1\ fl\ oz[/tex]
[tex]\frac{1}{4}\ c = 2\ fl\ oz[/tex]
Step-by-step explanation:
The options are not properly formatted;
So, I will solve the question using general notations
Required
Conversion factors of cups and fluid ounces
Let
[tex]c = cup[/tex]
[tex]fl\ oz = fluid\ ounces[/tex]
In standard conversion
[tex]1\ c = 8\ fl\ oz[/tex]
Divide both sides by 8
[tex]\frac{1\ c}{8} = \frac{8\ fl\ oz}{8}[/tex]
[tex]\frac{1}{8}\ c = 1\ fl\ oz[/tex]
Multiply both sides by 2
[tex]2 * \frac{1}{8}\ c = 1\ fl\ oz * 2[/tex]
[tex]\frac{1}{4}\ c = 2\ fl\ oz[/tex]
should I shoot my shot?
Answer:
yesssssss!!!!!!!!!!!
Calculate the median of the following list of numbers: 3, 5, 2, 10, 6, 3, 7, 3
The median of the list of numbers is 4
How to determine the median?The numbers are given as:
3, 5, 2, 10, 6, 3, 7, 3
Sort the numbers in ascending order
2, 3, 3, 3, 5, 6, 7, 10
The median is the middle number.
The middle numbers in the above data are 3 and 5
So, the median is:
Median =(3 + 5)/2
Evaluate
Median =4
Hence, the median of the list of numbers is 4
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There are 8 employees on The Game Shop's sales team.
Last month, they sold a total of g games. One of the
sales team members, Chris, sold 17 fewer games than
what the team averaged per employee.
How many games did Chris sell?
Write your answer as
an expression.
games
According to the solving the team average is g/17 and Chris sold (g/8) - 17 games.
What do you mean by average?The term "Average" refers to a value that should be used to describe the sample as a whole. The average is determined by dividing the total number of values in a set by the total number of values. also known as the arithmetic mean.
How do you calculate the mean?Average A collection of integers are added, their count is divided, and the sum is used to determine the arithmetic mean.
According to the given information:average game sold = g/8
since Chris sold 17 games less than average
hence, Chris sold games
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Help!! I will give brainlest to the right one!
3. Given: ACAN
m/ATN= (4x + 18)
Find: x so that AT is an altitude
N
Therefore , the solution of trigonometry function comes out to be tan x tan(4x+18)
What does trigonometry mean exactly?When it comes to trigonometry, the relationship between the rectangular line segment and The field is believed to have originated in the 1770s, most likely beginning in the third century through the fusion of astrophysics and mathematical sciences. Numerous mathematical equations and their possible uses in calculations are covered by precise mathematical techniques. The basis of trigonometry are the six basic trigonometric operations.
Here,
tan x tan 4x=1
cos 4X cos X - sin 4x sin x=0
cos 5x=0
5x=(n+1/2)π,n ∈ Z
x=(2n+1)/10 π,0 <x <π
π/10, 3π/10, 5π/10, 7π/10,9π/10 (5π/10 is not possible)
Thus, there are only four solutions.
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