Is the ordered pair (2.1) a solution to the system below?
21x + 5y = 7
4x – 3y = 5
yes or no
Answers
Answer:
The first solution is wrong, the second one is correct.
Step-by-step explanation:
21x+5y=21(2)+5(1)= 42+5= 47 then,
4x-3y=4(2)-3(1) = 8-3= 5.
2 is for x, then 1 is for y.
Related Questions
suppose you have 6 pairs of sock in your sock drawer and every pair has a unique color. it is still dark out in the morning when you get dressed, so you just pull socks out of the drawer at random, one at a time, until you have removed two matching socks. what is the probability that you pull out exactly 5 socks from your sock drawer in the morning before you get a matching pair of socks?
Answers
The probability there is at least one pair is therefore 1−p.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.The likelihood that an event will occur increases with its probability.A straightforward illustration is tossing a fair (impartial) coin.The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half.acc to our question-
It is little known, but socks have individual identities. There are (166) equally likely ways to choose 6 socks from the 16.Now we find the number of ways to choose 6 socks, so that there is no pair among them. There are (86) ways to choose the "types" of sock we will have. For each choice of 6 types, there are 26 ways to choose the actual socks. For at each chosen "type" of sock, we have 2 choices as to which of the two socks of that type to take.hence,The probability there is at least one pair is therefore 1−p.
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The isosceles triangle and the rectangle have equal perimeters. The triangle has x+5 on the left side. On its base it has x. The rectangle has x-1 on the left side. On the bottom, it has x+4.
Answers
Answer:
The value of x is 4.
Step-by-step explanation:
The perimeter of the triangle is the sum of the lengths of all its sides.
The perimeter of the rectangle is twice the sum of the length and the width.
base of triangle = x
two equal sides = x + 5
length of rectangle = x - 1
width of rectangle = x + 4
According to the question,
Perimeter of triangle = perimeter of rectangle
x + x + 5 + x + 5 = 2 ( x - 1 + x + 4)
3 x + 10 = 2 (2 x + 3 )
3 x + 10 = 4 x + 6
4 x - 3 x = 10 - 6
x = 4
GIVING BRAINLIST!!!!! Given that the area of rectangle IJKL is 490 units^2, what are its length and width?
Answers
Answer:
See below ~
Step-by-step explanation:
Given
Area = 490 units²Width = 5xLength = 8xNow, we know that : length x width = area
Using the given values
(8x)(5x) = 49040x² = 490x² = 490/40x² = 49/4x = √49/4x = 7/2 = 3.5Length (l) = 8x = 8(3.5) = 28 units
Width (w) = 5x = 5(3.5) = 17.5 units
Area of rectangle = 490 units²
length = 8x
width = 5x
As we know
\(\:\bf\boxed{{Area\:of\:rectangle\:=\:length\:}x\:{width}}\)
So,
Area of rectangle = l x w
=> 490 units² = \(\:\mathsf{8x\: x\: 5x}\)
=> 490 = \(\:\mathsf{40x²}\)
=> \(\:\mathsf{\frac{490}{40}}\) = x²
=> x² = \(\:\mathsf{\frac{49}{4}}\)
=> x = \(\:\mathsf{\sqrt{\frac{49}{4}}}\)
=> x = \(\:\mathsf{\frac{7}{2}}\)
=> x = \(\:\mathsf{3.5}\)
Now,
length = 8x = 8 x 3.5 = 28 units
width = 5x = 5 x 3.5 = 17.5 units
Therefore the required length and width of the rectangle are 28 units and 17.5 units.
Hope this helps!
a list of 20182018 positive integers has a unique mode, which occurs exactly 1010 times. what is the least number of distinct values that can occur in the list?
Answers
The least number of distinct values that can occur in the list is 225.
what is mode?The value that appears the most frequently in a data collection when it is unique is known as the mode, and like the median and mean, it can be used to measure central tendency. However, occasionally there is either no mode or more than one mode. When every observed value occurs exactly once in a data collection, there is no mode.
The mode appears 10 times. That leaves 2008 numbers.
The least number of distinct values will occur if all but one of the remaining values appears 9 times
= 2008/9
=223 1/9.
So, The list can include a maximum of 225 distinct values, with the mode appearing 10 times, 223 other values nine times, and the last value once.
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Write a positive or negative integer that represents the situation.
The temperature is 13 degrees above zero.
An integer that represents the situation is
PLs Answer this is my finals and I will mark you Brainiest
Answers
Answer:
+13 or just 13
Given f(x) = 70 + 11x, find x when f(x) =158
Answers
Answer:
\( \huge \boxed{x = 8}\)
Step-by-step explanation:
f(x) = 70 + 11x
To find the value of x when f(x) =158 , equate f(x) to 158
We have
\(70 + 11x = 158 \\ 11x = 158 - 70 \\ 11x = 88\)
Divide both sides by 11
\( \frac{11x}{11} = \frac{88}{11} \\ \)
We have the final answer as
x = 8Hope this helps you
Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible.
Answers
The dimensions of the rectangle is 25m × 25m.
How do you find the dimension of a rectangle?
Two dimensions make up a rectangle: the length and, perpendicular to that, the breadth.
What are the three dimensions of a rectangle?
The three dimensions of a three-dimensional shape are length, width, and depth.
It is given that
Perimeter of the rectangle = 100m
Area is as large as possible if both the values are the same number.
The measurements must be equivalent for the rectangle to attain its maximum area.
Consider the dimensions as x
So perimeter can be written as
2 (x + x) = 100
2 (2x) = 100
By additional computation
4x = 100
Divide both sides by 4
x = 25
Therefore, the dimensions of a rectangle is 25m × 25m.
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WILL GIVE BRAINLIEST IF ANSWERED IN TIME MUST GIVE EXPLANATION TOO BTW
in which case does the transformation of triangle QRS result in an image triangle DEF where angle Q is congruent to angle D, angle R is congruent to angle E, and angle S is congruent to angle S and QR/DE = QS/DR = RS/EF ≠ 1
Answers
Answer:
Step-by-step explanation:
The transformation of triangle QRS that results in an image triangle DEF where angle Q is congruent to angle D, angle R is congruent to angle E, and angle S is congruent to angle F, and QR/DE = QS/DF = RS/EF ≠ 1 is a similarity transformation.
A similarity transformation is a type of transformation that preserves the angles between the corresponding sides of the original and the image figures. It means that the corresponding angles of the two figures are congruent, and the ratios of the corresponding sides are equal. In the case of a triangle, it preserves the angles and the ratios of the sides.
So, if a transformation of triangle QRS results in an image triangle DEF where angle Q is congruent to angle D, angle R is congruent to angle E, and angle S is congruent to angle F, and QR/DE = QS/DF = RS/EF ≠ 1, it is a similarity transformation.
The transformation is similarity transformation.
What is Similarity Transformation?Similarity transformations are transformations where there occurs a dilation with one or more transformations like rotation, reflection or translation.
This is called so because the triangles so formed will be similar triangles.
We need two triangles QRS and DEF to be similar triangles.
Similar triangles are those triangles which has the same shape but different size and the length of sides are proportional.
This is the required transformation here.
Similar triangles can be formed by transforming a triangle first with dilation.
Then you can do any of the other rigid transformations.
The triangles will be similar.
Hence the transformation here is similarity transformation.
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The crafts store charges 49 cents for each of the first five yards of fabric and 30 cents for each additional yard. If you have $10.50, what is the greatest number of yards you could purchase?
Answers
Answer:
buy a maximum of 31.83 yards of fabric
When a buh wa firt planted in a garden,it wa 12 inche tall. After two week, it wa 120% a tall a when it wa firt planted. How tall wa the buh after the two week
Answers
When a buh wa firt planted in a garden,it wa 12 inche tall. After two week, it wa 120% a tall a when it wa firt planted. Tall wa the buh after the two week is \(\\26 \frac{2}{5}\).
What is improper fractions?
An improper fraction is a fraction whose numerator is equal to or greater than its denominator. 3/4, 2/11, and 7/19 are proper fractions, while 5/2, 8/5, and 12/11 are improper fractions.
12 times 120% + 12
12*120%+12
\($$\begin{aligned}& 120 \% \text { in fractions: } \frac{6}{5} \\& =12 \times \frac{6}{5}+12\end{aligned}$$\)
Follow the PEMDAS order of operations
Multiply and divide (left to right) \($12 \times \frac{6}{5}: \frac{72}{5}$\)
\(=\frac{72}{5}+12$$\)
Add and subtract (left to right) \($\frac{72}{5}+12: \frac{132}{5}$\)
\(=\frac{132}{5}$$\)
Convert improper fractions to mixed numbers: \($\frac{132}{5}=26 \frac{2}{5}$\)
\(=26 \frac{2}{5}$$\)
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calculate the length of the shortest side of a right-angled
triangle whose other two sides are of length:
a 60cm, 61 cm
Answers
Answer:
by pyth the
side^2 = 61^2-60^2
side^2 = 121
side = 11
Step-by-step explanation:
Please mark me as brainlyest
Please help:
I think of a number. If I subtract 10 from my number, then square the result, I get the same answer as if I square my number, then subtract 10 from the result.
What is my number?
You must show an algebraic method ( use letter x in your working).
Answers
The number you think is 5.5
How to find the number?
An algebraic expression is an expression that is made up of variables and constants, along with algebraic operations like addition, subtraction, square root, etc.
Let x represent the number you think. Thus, we can write:
(x - 10)² = x²-10
x² - 20x + 100 = x²-10
-20x + 100 = -10
20x = 100 + 10
20x = 110
x = 110/20
x = 5.5
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A survey by Olaf showed that 25 out of 80
people do not think that Anna is cuter than Elsa.
What percent do think Anna is cuter?
Answers
Answer:
31.25.
Step-by-step explanation:
trigonometric ratios, the figure on the left is a right triangle abc. which among the listed values are equal to the sin of b
Answers
Answer: The value of sinB is b/c
Step-by-step explanation:since sinB =P/H
Here, P=perpendicular
H=hypotenuse
so here, P=b and H=c
sinB=b/c
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the tires of a tractor are 5.25 feet tall. what measure would help to find how many feet the tractor will travel in 1 rotation
and how many feet would it travel
Answers
Answer:
16.485 feet
Step-by-step explanation:
Given that tire is 5.25 feet tall
any circular shape is as tall as its diameter.
we can say that diameter of tire is 5.25 feet.
in one rotation tire will start from one point of tire and reach it again.
it is like on a circle moving from on one point and then reaching to same point.
and we know that distance covered on moving on the point of circle is equal to circumference.
Thus, measure of circumference would help to find how many feet the tractor will travel in 1 rotation.
circumference of circle is given by \(\pi D\)
where D is the diameter of circle.
we will us 3.14 as value of \(\pi\)
thus, circumference of circle is\(\pi * 5.25 = 3.14*5.25 = 16.485\)
Hence, tractor would travel 16.485 feet in one rotation.
plsss help!!!! any extra links will be reported!
Answers
Answer:
Outlier: Value that is extremely to the right or the left due to an external cause
For math: 1 is the outlier
Answer:
I am not 100% but I believe they are 1 and 6 if there are 2 answer options
Step-by-step explanation:
What need help fast please
Answers
Kami was taking a quiz and she decided to simplify the following expression Her steps are shown below. Step 1: 1.3 (5+2.3m - 2.4) Step 2: 6.3+3.6m - 1.1 Step 3: 6.3-1.1 +3.6m Step 4: 5.2+3.6m Which statement identifies and explains Kami's first mistake?
a. Kami's first mistake was in Step 4. She should have reordered the terms by writing 3.6m first and then 5.2.
b. Kami's first mistake was in Step 2. of multiplying by 1.3. She added 1.3 to each term instead
c. Kami's first mistake was in Step 2. She should only add 1.3 to 5 and not to all 3 terms.
d. Kami's first mistake was in Step 3. She should have made 3.6m negative and the 1.1 should be positive.
e. Kami's first mistake was in Step 2. She should multiply 1.3 to 5 and to -2.4 only instead of adding by 1.3 to each term.
Answers
The statement that shows kemi first mistake is that
' Kemi first mistake was in step 2 , instead of multiplying 1.3 with all terms , she added 1.3 to each term instead'. (optionB)
What is simplification of expression?Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler. For example;
5( 2x+6) can be simplified by using distributive law. i.e 5× 2x + 5× 6
= 10x + 30
Similar simplifying 1.3 (5+2.3m - 2.4), we use distributive law to simplify.
1.3 × 5 + 1.3 × 2.3m -2.4 × 1.3
= 6.5 + 2.99m - 3.12
The next step is to collect like terms
= 6.5-3.12 + 2.99m
= 3.38 + 2.99m
Instead of using the distributive law, Kami added 1.3 to all the terms in parentheses.
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When you attempt to solve a system of equations What does it mean in regards to the solution if you get a statement like 2 =- 2?
Answers
There is no solution to the system. This means that the equation 2 = -2 in the system is inconsistent.
What is a system of equations?
A system of equations is a collection of two or more equations that are solved simultaneously. Each equation in the system represents a constraint or condition that must be satisfied, and a solution to the system is a set of values that satisfies all of the equations in the system simultaneously.
If you attempt to solve a system of equations and you get a statement like 2 = -2, it means that the equations in the system are inconsistent. An inconsistent system of equations has no solution because there is no set of values that can simultaneously satisfy all of the equations.
Hence, as these equations are contradictory, there is no solution to the system. This means that the equations in the system are inconsistent.
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8.
Find the number of real number solutions for the equation. x2 – 10x + 25 = 0
A. 0
B. 1
C. 2
D. cannot be determined
Answers
Answer:
B. 1
Step-by-step explanation:
Answer:
Option B is correct
The number of real number solutions for the given equation is, 1.
Step-by-step explanation:
Given the equation:
Since, this is a quadratic equation of the form of
where a =1 , b = -10 and c =25.
The discriminant of a quadratic equation is,
then;
Discriminant = = (100-100) = 0
Since, a discriminant of zero means there is only one real solution for x.
Substitute the given values.
Simplify:
x = 5
Therefore, the number of real solution for the given equation is, 1
Need help ASAP! due soon!!!!
Answers
Answer:
Its A And D Hope This Helps
Mr. Krueger wanted a square platform built in the drama room at
school. He provided the carpenter with the desired area of the platform
to be built. Which function can he use to determine the side length of
the square platform?
F(x)=x²
F(x)=√x
F(x) = -=-=
F(x) = |x|
Answers
Explanation: inverse of square is square root. Since the area is the side length squared, take the square root of the area to find the side length.
1. Simplify:
(2a³)² x (5a²b²)
Ans: 20a²b²
2. The Expenditure (in dollar) of 15 days of a man is as follows. Calculate his average expenditure:
30,25,35,24,40,35,30,25,24,25,40,35,30,25,35
Ans: $30.53
Answers
The value of the expression is 20a⁸b²
The average expenditure is $30.62
How to determine the valuesTo simply the index form, we have to expand the bracket with the given exponential value, we get;
(2a³)² x (5a²b²)
expand the bracket
4a⁶ × 5a²b²
Now, multiply the values and add the exponents
20a⁸b²
To determine the average, add the values and divide the number
30+25 + 35+24+40+35+30+25+24+25+40+35+ 30/13
398/13
$30.62
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negative powers are used to represent the fractional portion of numbers. group of answer choices true false
Answers
Answer:
True. Negative powers are used to represent fractions or decimal numbers that are less than one. For example, 0.5 can be represented as 5 x 10^(-1) and 0.25 can be represented as 25 x 10^(-2). The negative power indicates the number of decimal places to the right of the decimal point.
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Q3. What were the 'preference reversals' discussed in the section of the course on Prospect Theory? Explain using graphs and/or equations as necessary.
Answers
The preference reversal is defined as a behavior where an individual's preferences between two options change depending on how the options are presented.
The preference reversal effect is a cognitive fallacy that occurs when a person makes a decision based on their emotional response to an event rather than objective evidence.
Prospect theory is a model that describes how people make choices between alternatives that involve risk, where the probabilities of outcomes are known. It is a behavioral economic theory that has been widely used to study decision-making under conditions of risk and uncertainty.
Preferences are thought to be transitive in classical decision theory; if an individual prefers A to B and B to C, then they should prefer A to C. People's preferences, on the other hand, may be inconsistent due to cognitive and affective biases, according to behavioral economics.
Preference reversals, as stated above, occur when the ranking of two alternatives is reversed as a result of changes in the way they are framed or presented. The preference reversal is defined as a behavior where an individual's preferences between two options change depending on how the options are presented.
In the context of prospect theory, preference reversals occur when people switch from a choice based on anticipated gains (such as risk-seeking) to a choice based on anticipated losses (such as risk-aversion) when the two choices are presented together in a single decision problem.
In conclusion, preference reversals are a cognitive bias that occurs when an individual's preferences between two options change depending on how the options are presented. Prospect theory has been used to study decision-making under conditions of risk and uncertainty, and it has been found that people's preferences may be inconsistent due to cognitive and affective biases. Preference reversals occur when people switch from a choice based on anticipated gains to a choice based on anticipated losses when the two choices are presented together in a single decision problem.
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I NEED HELP ASAP PLEAS HELP ME
Answers
Answer:
m=117
Step-by-step explanation:
So this area is 360 degrees
What you can see the 68 degrees is congruent to its opposing side so we can eliminate those. 360 - 126= 234
We can see m is congruent to U
234/2=117
m=117
The cost in millions of dollars for a company to manufacture x thousand automobiles
is given by the function C(x) = 5x² - 20x + 36. Find the number of automobiles that
must be produced to minimize the cost.
Answers
The number of automobiles that must be produced to minimize the cost is 2
Hwo to find the number of automobiles that must be produced to minimize the cost.From the question, we have the following parameters that can be used in our computation:
C(x) = 5x² - 20x + 36.
Differentiate and set function to 0
So, we have
10x - 20 = 0
Solve for x
10x = 20
Divide
x = 2
Hence, the automobiles is 2
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Please help me you get 26 points (Iready 6th grade Math)
Answers
The mean of the times given in the question is 16 which can be calculated by division
The mean is a measure of central tendency in statistics, commonly referred to as the average. It is calculated by adding up all of the values in a dataset and then dividing by the number of values in the dataset. The mean is often used to summarize and compare data in various fields, such as economics, psychology, and science.
The procedures below can be used to determine the mean, often known as the average, of a set of values:
Sum up all of the dataset's values.
The dataset has how many values? Count them.
Subtract the number of values from the sum of the values.
The final figure represents the dataset's mean. For instance, suppose we have the dataset shown below:
3, 5, 7, 11, 13
By adding up all the values and dividing by the total number of values, we can determine the mean:
(3 + 5 + 7 + 11 + 13) / 5 = 7.8
As a result, this dataset's mean is 7.8.
Mean = Total sum of all the entities/ Total number of entities
Here, the entities are: 10, 12, 18, 20, 20
Total sum of all the entities = 80
Total number of all the entities = 5
Therefore, the mean will be = 80/5
Mean = 16
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If you are standing 75 ft away from a tree and looking up at the top at a 40° angle, what is the height of the tree?
Answers
Answer:
Step-by-step explanation:
A(0, 8), B(6, 5), C(-3, 2)
solve for area please i need help now
Answers
The area of the triangle with the given vertices is given as follows:
25.16 units squared.
How to obtain the area of a triangle?The area of a rectangle of base b and height h is given by half the multiplication of dimensions, as follows:
A = 0.5bh.
The length of the base AB is given as follows:
\(b = \sqrt{(6 - 0)^2 + (5 - 8)^2}\)
b = 6.71 units.
The midpoint of the base AB is given as follows:
M(3, 6.5) -> mean of the coordinates).
The height is the distance between M and C, hence:
\(h = \sqrt{(3 - (-3))^2 + (6.5 - 2)^2}\)
h = 7.5 units.
Hence the area is given as follows:
A = 0.5 x 6.71 x 7.5
A = 25.16 units squared.
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