Answer:
[tex]\left[\left.\begin{matrix}1 & 0 & 0\\ 0 & 6 & 0\\ 0 & 0 & 7\end{matrix}\right|\begin{matrix}7\\ 5\\ 5\end{matrix}\right][/tex]
Step-by-step explanation:
The given augmented matrix is
[tex]\left[\left.\begin{matrix}3 & 0 & 0\\ 0 & 6 & 0\\ 0 & 0 & 7\end{matrix}\right|\begin{matrix}21\\ 5\\ 5\end{matrix}\right][/tex]
Here, we need to perform the row operation [tex]\dfrac{1}{3}R_1[/tex] and replace [tex]R_1[/tex] in the above matrix.
So, divide each element of [tex]R_1[/tex] in the given matrix and other elements remain same.
[tex]\left[\left.\begin{matrix}\dfrac{3}{3} & \dfrac{0}{3} & \dfrac{0}{3}\\ 0 & 6 & 0\\ 0 & 0 & 7\end{matrix}\right|\begin{matrix}\dfrac{21}{3}\\ 5\\ 5\end{matrix}\right][/tex]
[tex]\left[\left.\begin{matrix}1 & 0 & 0\\ 0 & 6 & 0\\ 0 & 0 & 7\end{matrix}\right|\begin{matrix}7\\ 5\\ 5\end{matrix}\right][/tex]
Therefore, the required matrix is [tex]\left[\left.\begin{matrix}1 & 0 & 0\\ 0 & 6 & 0\\ 0 & 0 & 7\end{matrix}\right|\begin{matrix}7\\ 5\\ 5\end{matrix}\right][/tex].
Describe the error in the work shown below.
Find an expression equivalent to 18 + 30.
Factors of 18: 1, 2, 3, 6, 9, 18
Factors of 30: 1,2,3,5, 6, 10, 15, 30
18 + 30 = 6(3 + 10)
Pls help fast
Find the x-intercept of the graph of the linear equation y = -1/2 x+3.
Help me please!!
Due soon!!
Answer:
6
Step-by-step explanation:
got it right
Between 2000 and 2015 , the number of twin births in a certain country increased by 11%, to approximately128,760 . About how many twin births were there in 2000?
Answer:
116000
Step-by-step explanation:
The number of twins in 2000 is x
the number increases by 11% to year 2015
x(1+11/100 )=128760
x+0.11x=128760
1.11x=128760
x=128760/1.11
x=116000
can someone please help me out with this?
Answer:
B. segment AG is congruent to segment OL
Step-by-step explanation:
The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 332
people entered the park, and the admission fees collected totaled 898.00 dollars. How many children and
how many adults were admitted?
Answer:
172 kids and 160 adults
Step-by-step explanation:
We can create two equations with the information given.
1.5x + 4y = 898
x + y = 332
We can then bring the x in the second equation over to the other side.
y = 332 - x
We can now plug this equation into the one before.
1.5x + 4(332 - x) = 898
We now do the distributive property on the equation and result with
1.5x + 1328 - 4x = 898
Then we can combine like terms and add 1.5x and -4x together and bring 1328 over by subtracting it from 898.
-2.5x = -430
-430 / 2.5x = 172
x = 172
x is defining how many children when to the park.
Now we just need to figure out y by subtracting it from the total amount of people (aka plugging it into the second equation)
y = 332 - 172
y= 160
We end up with
x = 172
y = 160
172 children and 160 adults
31. One February day, the low temperature in
St. Paul, MN Was - 170. Over a period of three
hours, the temperature rose 5°F per hour.
After three hours, what the was the
temperature?
Answer:
-2°F
Step-by-step explanation:
The starting temperature was -17°F. If the temperature rose 5°F per hour, and we're looking for the temperature after three hours, the change in temperature was +15°F.
-17 + 15 = -2°F
Plisss some one can help me!!!
A project manager estimates that a project will take
x hours to complete, where x > 100. The goal is for
the estimate to be within 10 hours of the time it will
actually take to complete the project. If the manager
meets the goal and it takes y hours to complete the
project, which of the following inequalities
represents the relationship
between the estimated
time and the actual completion time?
Answer:
x ≥ x/y
Step-by-step explanation:
It somehow varies with variation.
The sum of two numbers is 91.one is 37 more than the other.Find the numbers
Step-by-step explanation:
Hey there!!
Here, According to the question;
Let one number be x then another number will be x+37. (as one number is 37 more than other number. )
Now,
Their sum is 91.
It would be like;
[tex]x + (x + 37) = 37[/tex]
[tex]2x + 37 = 91[/tex]
[tex]2x = 91 - 37[/tex]
[tex]x = \frac{54}{2} [/tex]
Therefore the value of x is 27.
So, one number is 27 and another number is 64.
Hope it helps....
Greg mixes 10 cans Black paint with 16 cans of white paint to get a gray paint. How many cans of black paint will he need to mix with 96 cans of white paint to get the same gray color?
Answer:
60 cans
Step-by-step explanation:
96 divided by 16 is 6
10 time 6 is 60
2x +y when x= 3, y=1.
Answer:
I needed help on that question too
21-7x=7(3-x)
Solve this please!!!!!!!!!!
Answer:
All real numbers
Step-by-step explanation:
21 - 7x = 7(3 - x)
21 - 7x = 21 - 7x
Since both sides of the equation are equal, the answer is all real numbers.
[tex]21 - 7x = 7(3 - x)\\21 - 7x = 21 - 7x\\-7x + 7x = 21 - 21\\x \in \mathbb{R}[/tex]
In the figure shown, suppose m angle ABC=n and m angle ABD=2(m angle DBC). The angle bisector of angle DBC is BE. What is m angle EBC
Answer:
n/6
Step-by-step explanation:
If angle bisector of angle DBC is BE. What is m angle EBC, then <DBE = <EBC
Since <ABC = <ABD+<DBC
n = 2<DBC+<DBC
n = 3<DBC
<DBC = n/3
Since <DBC = 2EBC
n/3 = 2<EBC
n/6 = <EBC
Hence <EBC = n/6
A construction worker estimates that a kitchen remodel will take 1 person 200 hours. If 5 people work on the job for 8 hours a day, how many days will it take for them to complete the job?
Answer:
5 days
Step-by-step explanation:
Multiply 8 hours by 5 people to get a total of an equivalent of 40 hours of work per day. 200/40 is equal to 5, so it would take them 5 days
Answer:
It will take them five days.
Step-by-step explanation:
So what I did was I multiplied 5 and 8 because there were 5 people and I'm taking it that each person worked 8 hours a day. So after multiplying that, I got 40. I then divided 40 by 200 and I got 5.
2 points he Dockland Building in Hamburg, Germany is shaped like a parallelogram. If the length of the building is 86 meters and its height is 55 meters, what is the area, in square meters, of this face of the building?
Answer:
e
Step-by-step explanation:
Simplify 7^8 divided by 7^4
Answer:
2401 is your answer hope this helps
PLS HELP!! ITS URGENT!!! SHOW YOUR WORK PLEASE
Answer:
x = 6, y = 8
Step-by-step explanation:
First, we need to find the scale factor from the smaller polygon to the larger polygon. To do this, we can calculate 18 / 12 which is 1.5. Therefore, we can write the following equations:
x · 1.5 = 9 → x = 6
y · 1.5 = 12 → y = 8
35 is what percent of 28?
Answer:
9.8
Step-by-step explanation:
I checked on google
Answer:
9.8
Step-by-step explanation:
How many ads had at least 15, but fewer than 30, words?
1234500372308
Answer:
204
Step-by-step explanation:
I mean logical right lol
A school bus requires 40 liters of fuel per week. If your school district runs 5,000 school buses, how many liters of fuel will the buses consume in 52 weeks? A. 15 million liters B. 10 million liters C. 10.4 million liters D. 200 million liters
Answer:
C. 10.4 million liters.
Step-by-step explanation:
1. First, you want to create an equation to help you solve this. You know that there are 5,000 school buses and they use 40 liters of fuel per week. So, you know that 5,000 · 40x would be the amount of fuel for x weeks (where x is the number of weeks).
2. To figure out how many liters would be used in 52 weeks, simply put 52 in for x. So, the expression is 5,000·40(52).
3. Multiply 40(52) to get 2,080. Your expression now looks like this: 5,000·2,080
4. Multiply 5,000(2,080) to get your answer of 10,400,000 liters.
Hope this helps! :) If you could give me Brainliest that would be super helpful!
a tourist information center is between a bus station and a train station when mapped on a grid, the tourist information center is located at (1,4) and the bus is located at (-3,7) the train station is located at point
Answer:
dfd
Step-by-step explanation:
Need help right now before 12.00
Answer:
23) 7b+14
yea I guess the rest remain the same
Martina and Karina each wrote a number pattern on a strip of paper for each other to figure out. Find the next two numbers in Martina's number pattern. Describe the pattern and explain how you found it. 2, 6, 10, 14, ...
Answer:
18
Step-by-step explanation:
the pattern is adding 4
Solve the formula C = πd for d
Answer:
[tex]d = \frac{C}{\pi}[/tex]
Step-by-step explanation:
[tex]C= \pi d\\[/tex]
Isolate d ; Divide both sides of the equation by [tex]\pi[/tex]
[tex]\frac{C}{\pi} = \frac{\pi d}{\pi }[/tex]
Simplify
[tex]\frac{C}{\pi} = d\\\\d = \frac{C}{\pi}[/tex]
Note; Another formula for d(diameter) =
[tex]2\times radius[/tex]
What is the value of the underline digit? 9.521
Answer: one
Step-by-step explanation:
Answer:
Step-by-step explanation:
If 9 was underlined it would be 9 ones
If it was 5, 5 tenths
If it was 2, 2 hundreths
If it was 1, 1 thousandth
Hope this helps:)
Which of the following relations is a function? A. (5, 11), (-9, 2), (-1, 8), (-6, 11) B. (11, 5), (2, -9), (8, -1), (11, -6) C. (-1, 11), (-9, 2), (-1, 8), (-9, -6) D. (5, 11), (-9, 2), (-1, 8), (-1, -6)
Answer:
A
Step-by-step explanation:
It is a function if none of the x-values are the same
Two cyclists begin riding in the same direction at a constant rate, one at 20 km/h, the other at 16 km/h. How long will it take until they are 8 km apart?
Answer:
fdfbsdfb
Step-by-step explanation:
dfgfdg
Answer: It will take 2 hours
Step-by-step explanation:
Find the equation of the line with slope −2 and that contains the point (−9,−7). Write the equation in the form y=mx+b and identify m and b.
Answer:
m = -2 which is the slope
b = 2 which is the intercept of the line.
Step-by-step explanation:
We have that the line must pass through the following points (-9, -7). These two points are any two of the numerous points that pass through the straight line. We can designate variables to each of these points as shown below
Let us take our [tex]y_1 = -7[/tex] and [tex]x_1 = -9[/tex]
Given the slope as [tex](y-y_1)/(x-x_1)=-2[/tex]
[tex](y--7)/(x--9) = -2[/tex]
[tex](y +7)/(x+9) =-2[/tex]
[tex]y +7 = -2(x+9)[/tex]
[tex]y =-2x+2[/tex]
We are given the form: y=mx+b.
we can compare this with our equation for the line. [tex]y =-2x+2[/tex]
We can see that m = -2 which is the slope and b = 2 which is the intercept of the line.
A television sells for $550. Instead of paying the total amount at the time of the purchase, the same television can be bought by paying $100 down and $50 a month for 14 months. How much is saved by paying the total amount at the time of the purchase? PLEASE HELP ME !
Answer:
250 Dollars
Step-by-step explanation:
100 down + 50 x 14
100 +700= 800
800-550= 250
$150 is saved by paying the total amount at the time of purchase.
Deandre downloaded 8 apps onto his tablet in 12 seconds. at this rate, how many apps could be downloaded in one minute?
Answer:
40 apps
Step-by-step explanation:
12 sec ⇒ 8 apps
1 min = 60 sec
therefore, 60 sec ⇒ `60 x 8 / 12 = 40 apps
Pls helpppp meeee‼️‼️‼️‼️‼️‼️‼️
I think 9,6 is right answer
Answer:
2 yards because 3 is divided by 6