Solution of the system of equation 3x + y = 5 , 5x + 2y = 9 using matrix is x =1 and y =2.
As given in the question,
System of equation:
3x + y = 5 ,
5x + 2y = 9
In matrix form :
[tex]\left[\begin{array}{ccc}3&1\\5&2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}5\\9\end{array}\right][/tex]
[tex]D = \left[\begin{array}{ccc}3&1\\5&2\end{array}\right][/tex]
= (3)(2) -(5)(1)
=1
[tex]D_{x} = \left[\begin{array}{ccc}5&1\\9&2\end{array}\right][/tex]
= 10 -9
= 1
[tex]D_{y} = \left[\begin{array}{ccc}3&5\\5&9\end{array}\right][/tex]
= 27 -25
= 2
[tex]x= \frac{D_{x}}{D}[/tex]
= 1
[tex]y =\frac{D_{y}}{D}[/tex]
=2
Therefore, solution of the system of equation 3x + y = 5 , 5x + 2y = 9 using matrix is x =1 and y =2.
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A local craft store is selling different kinds of craft paint for $2, $3,
$2, $15, and $2. When placing an ad in the local paper, which
measure of central tendency should it use to advertise?
The measure of the central tendency of the local paper can be mean, median or mode
The local paper should use the median as the measure of the central tendency
How to determine the measure of central tendency
The dataset is given as:
$2, $3, $2, $15, and $2
Rearrange the dataset
$2, $2, $2, $3, $15
In the above dataset, $15 is relatively larger than the other dataset
This means that:
$15 is an outlier of the dataset
Median is not affected by outlier, while mean is affected by outliers
Hence, the local paper should use the median as the measure of the central tendency
Read more about central tendency at:
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what is the answer please
Answer: You know what's the answer...... it is 159.32
Hope it helps :)
A grocery store sells a bag of 4 oranges for $3. 64. How much would it cost for 6 oranges?
Answer:
$5.46
Step-by-step explanation:
4 / 3.64 = 6 / x
Larry has a bowl of raspberries and blackberries. There are 2 more raspberries than blackberries, and there are 34 berries in all. How many raspberries does Larry have?
Find the value of x.
The answer would be 2
Si la suma de los ángulos interiores de un polígono es 2160
, ¿cuántos lados tiene el polígono?
Answer:
14
Step-by-step explanation:
El número de lados del polígono es 14.
irs. Miller
In how many ways can the survey be answered?
Our survey asked teens to place a 1, 2, 3, 4, or 5 next to each type of music Our survey lists country, classical hip-hop, oldies, and
alternative as music options. That's going to give us a bunch of answer
arrangements In this graphic, the students are ranking the musics: country, classical, hip-hop, oldies, and alternative from 1-5. So in how many ways can they be surveyed?
The number of ways the survey can be answered is an illustration of selection
The survey can be answered in 625 ways
How to determine the number of waysThe options are given as: 1 to 5
The types of music are given as: country, classical hip-hop, oldies, and
alternative
There are 4 music types.
This means that any of the 5 options 1 - 5 can be selected for each of the 4 music types.
So, the number of ways (n) is:
[tex]n = 5^4[/tex]
Evaluate the exponent
[tex]n = 625[/tex]
Hence, the survey can be answered in 625 ways
Read more about selection at:
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what is physics what is metallurgy what is Morelos again
Answer:
what is physics
Physics is s type of study in science that talks about the structure of matter and how the fundamental constituents of the universe interact.
what is metallurgy
Metallurgy is a type of study in science and technology that talk's about the properties of metal and its production and purification.
what is Morelos
Morelos is in Mexico. it is a Mexican state.
Morelos. / (Spanish moˈrelɔs) / noun. an inland state of S central Mexico, on the S slope of the great plateau.
Hope it helps!!!!!!brainliest pls!!!!!!!!!!If the Lenght of Rectangle is 10 cm and its Breadth is 15 cm . Then find the Area of Rectangle ?
Answer:
Given ,
Length of rectangle = 10cm
Breadth of rectangle = 15cm
Now ,
Area of rectangle = length × breadth
= ( 10 × 15 ) cm²
= 150 cm²
[tex]\\[/tex]
hope helpful ~
Question :-
If the Lenght of Rectangle is 10 cm and its Breadth is 15 cm . Then find the Area of Rectangle ?Answer :-
Area of Rectangle is 150² cm .[tex] \rule {210pt} {2pt} [/tex]
Given :-
Lenght of Rectangle = 10 cmBreadth of Rectangle = 15 cmTo Find :-
Area of Rectangle = ?Solution :-
As per the provided information in the given question, we have been given that the Lenght of Rectangle is 10 cm . Breadth of Rectangle is given 15 cm . And, we have been aksed to calculate the Area of Rectangle .
For calculating the Area , we will use Area of Rectangle Formula :-
[tex] \sf {Area \: of \: Rectangle = Lenght \times Breadth} [/tex]Therefore , by Substituting the given values in the above Formula :-
⇒ Area of Rectangle = Lenght × Breadth
⇒ Area of Rectangle = 10 × 15
⇒ Area of Rectangle = 150
Hence :-
Area of Rectangle = 150² cm[tex] \underline {\rule {210pt} {4pt}} [/tex]
Additional Information :-
[tex] \begin{gathered}\begin{gathered}\boxed{\begin{array}{c} \\ \underline{ { \textbf {\textsf \red{ \dag \: \: More \: Formulas \: \: \dag}}}} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Square} = Side \times Side} \\ \\ \\ \footnotesize\bigstar \: \bf{Area \: _{Rectangle} = Lenght \times Breadth} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Triangle} = \frac{1}{2} \times Base \times Height } \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Parallelogram} = Base \times Height} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Trapezium} = \frac{1}{2} \times [ \: A + B \: ] \times Height } \\ \\ \\ \footnotesize \bigstar \: \bf {Area \: _{Rhombus} = \frac{1}{2} \times Diagonal \: 1 \times Diagonal \: 2}\end{array}}\end{gathered}\end{gathered} [/tex]
A university has 29,370 students. In a random sample of 210 students, 14 speak three or more languages. Predict the number of students at the university who speak three or more languages.
Answer:
ok so out of 210 14 speak 3 or more so that is a ratio of
210:14
so lets find out how many times 210 goes into the whole populaiton
29370/210=139.857142857
then lets multiply the 14 by that amount
14*139.857142857=1958(exact)
so out of the 29370 1958 speak 3 or more launges
Hope This Helps!!!
Solve for b 6b + 16 = 94
Answer:
b=13
Step-by-step explanation:
First, subtract 16 from 94. 94-16=78
Then divide 6 into 78. 78/6=13
Therefore, b=13
Answer:
b=13
Step-by-step explanation:
6b+16=94
subtract 16 from both sides
6b=78
divide both sides by 6
b=13
Homework 4: Trigonometric Ratios &
Finding Missing Sides
solve for x
Answer:
[tex]\displaystyle 13,834311042... = x[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{x}{13} = csc\:70 \hookrightarrow 13csc\:70 = x \\ \\ 13,834311042... = x[/tex]
OR
[tex]\displaystyle \frac{13}{x} = sin\:70 \hookrightarrow xsin\:70 = 13 \hookrightarrow \frac{13}{sin\:70} = x \\ \\ 13,834311042... = x[/tex]
Information on trigonometric ratios
[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]
I am joyous to assist you at any time.
Find the surface area of the prism.round to the nearest whole number
And working out
I'm not entirely sure if this is what you're looking for, but I'm going to try to help anyways.
Five more than one third of a number is -2. Find the number
Evaluate.
(3.5−56)⋅(−3.4+515)
Enter your answer as a decimal or mixed number in simplest form in the box.
Answer:
−16,848
Step-by-step explanation:
firstly, evalute whatever is in the parentheses. [3.5 minus 56 equals "-32.5" then the next [-3.4+515 equals "518.4"
then multiply the two numbers: "-32.5 × 518.4"
−16,848 is the answer.. its definitely a weird question.
What mixed number is the arrow pointing to?'
1. 12 4/5
2. 12
3. 12 1/2
4. 12 2/3
Answer:
4. 12 2/3
Step-by-step explanation:
You count the number of intervals between it takes to get from 12 to 13.
It takes 6 times.
We see that the arrow is at the 4th interval.
So out of 6 intervals, the arrow is at the 4th interval
So 4th interval / 6th interval = 4/6
We reduce 4/6 to 2/3 because dividing both top and bottom by 2 gets us 2/3.
4/6 = 2/3
We have
12 2/3
What is -8 +-2 ? Please help
Answer:
-10
Step-by-step explanation:
-8 + -2
-8 -2
-10
Answer:
-10
Step-by-step explanation:
Write an equation for the word sentence!!
- A number divided by 0. 5 is 29
Pls help me T-T
Answer:
[tex]\frac{x}{0.5} =29[/tex]
Step-by-step explanation:
A number, so x, is divided by, so a fraction, 0.5. So [tex]\frac{x}{0.5}[/tex]. Is, which means equals (=), 29. So [tex]\frac{x}{0.5} =29[/tex]
P.S. The answer is x = 14.5
Brian pays £466. 98 a year on his car insurance. The insurance company increases the price by 3. 2%. How much does the insurance cost now?Give your answer rounded to 2 DP
Answer:
481.92
Step-by-step explanation:
3.2÷100×466,98=
14,94
then add
466.98 +14.94
481.92
Review the graph of
Which point lies outside of the solution set? (y+4)^2/9-(x+1)^2/9>1
The point outside the solution set are the false values of the inequality
The point outside the solution set of (y+4)^2/9-(x+1)^2/9>1 is (-1,-1)
How to determine the point outside the solution setThe inequality of the graph is given as:
[tex]\frac{(y+4)^2}{9}-\frac{(x+1)^2}{9} > 1[/tex]
Next, we test the options
Option A. (-2,4)This gives
[tex]\frac{(4+4)^2}{9}-\frac{(-2+1)^2}{9} > 1[/tex]
[tex]\frac{64}{9}-\frac{1}{9} > 1[/tex]
Evaluate the difference
[tex]7 > 1[/tex] -- this is true
Option B. (2,-12)This gives
[tex]\frac{(-12+4)^2}{9}-\frac{(2+1)^2}{9} > 1[/tex]
[tex]6.1 > 1[/tex] -- this is true
Option C. (-1,-1)This gives
[tex]\frac{(-1+4)^2}{9}-\frac{(-1+1)^2}{9} > 1[/tex]
[tex]1 > 1[/tex] -- this is false
Hence, the point outside the solution set of (y+4)^2/9-(x+1)^2/9>1 is (-1,-1)
Read more about solution sets at:
https://brainly.com/question/13729904
Answer: it is C (-1, -1)
Step-by-step explanation:
Help please i need the answer
Step-by-step explanation:
but ... you had already correctly answered the first part.
L² + W² = d²
Pythagoras ...
all you needed to do now was do the calculations. no "brainware" needed ...
30² + 10² = d²
900 + 100 = d²
1000 = d²
d = 31.6227766... ≈ 31.6 units
Which equation illustrates the Associative Property of Multiplication? WILL MARK BRAINLEIST IF ANSWERED
3(x + 2) = 3x + 6
2xy = yx3
3x = 0
(3x)y = 3(xy)
Answer:
3(x+2)=3x+6
Step-by-step explanation:
i hope it helps
if its wrong let me know so i can change it or something or just remove my comment
The scores on the push-up portion of a physical fitness test had a mean of 62 and a median of 60. One athlete was absent during the test, and his score was not included in the calculations. If his score of 67 were added to the distribution of scores, what would happen to the mean and median?
The mean would increase and the median would decrease.
The mean would increase and the median would stay about the same.
The mean would decrease and the median would stay about the same.
The mean would decrease and the median would increase.
What is the volume of this cylinder?
Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
2712.96 yd
Step-by-step explanation:
v (volume) = π[tex]r^{2}[/tex]h
v = 3.14 x [tex]12^{2}[/tex] x 6
v = 3.14 x 144 x 6
v = 2712.96
Find the common difference of the arithmetic sequence 14, 8, 2,.
Answer:
-6
Step-by-step explanation:
The function below show the amount of money Bella and sweet T had saved after earning money from doing chores
Answer:
Bella saves more per chore than sweet T
Step-by-step explanation:
What is the most reasonable answer for the following question? There are 1300 students at Eric B. Smith Middle School. Approximately 700 of the students take the bus home. 25% of the rest of the students that do not take the bus get a ride home. Approximately how many students get a ride home?
Answer:
150 students
Step-by-step explanation:
1300 - 700 = 600
600 x .25 = 150 (25% = 0.25)
Line A passes through the points (-3, -1) and (4, 13).
Line B passes through the points (6, -1) and (-4, 19).
Find the point where line A intersects line B
Answer: (1.5, 8)
Step-by-step explanation:
Ambry ran a 3.1-mile race in 18 minutes.
What is Ambry's average pace in minutes per mile, to the nearest hundredth?
Answer:
5.81
Step-by-step explanation:
18/3.1 = 5.806, which rounds to 5.81.
What are the measures of angles 1,2, and 3?
Answer:
[tex]m\angle 1=50\degree[/tex]
[tex]m\angle 2=70\degree[/tex]
[tex]m\angle 3=50\degree[/tex]
Step-by-step explanation:
[tex]m \angle \: 1 = 180 \degree - (60 \degree + 70 \degree) \\ (by \: angle \: sum \: property \: of \: a \: \triangle) \\ \implies \: m \angle \: 1 = 180 \degree - 130 \degree \\ \\ \implies \: \huge \red{ m \angle \: 1 = 50 \degree} \\ \\ \huge \purple{ m \angle \: 2 = 70 \degree } \\ (alternate \: \angle s) \\ \\ m \angle \: 3 =m \angle \: 1 \\ (alternate \: \angle s) \\ \\ \implies \: \huge \orange{ m \angle \: 3 = 50 \degree}[/tex]