Solve the system by using matrices.
X = 4
X + y = -6
4x - 3y + 2z = 26
Answers
Answer:
x=4, y=-10, z=-10
Step-by-step explanation:
Related Questions
Luke made an elaborate code to remember the 10-digit combination to his bicycle lock. This is the code he came up with: F-G-E-D-A-K-B-J-C-H Each letter stands for a different digit (0-9). Study the clues below to figure out what digit is represented by each letter. When two letters are written together without an operation symbol, they represent a tens digit and a ones digit. F+F+F=D B÷ H = K J + A = CC
H+H = B. F×H= CK. D×F = KG G+B+E=D+A+C. A×H = KE J÷F=K F/J = H/B
What is the 10-digit combination to Luke's bicycle lock?
this is all the information I have.
please show work by either showing a picture of explaining it in text. Thank you
Answers
9514 1404 393
Answer:
lock code: 3709528614
Step-by-step explanation:
Given:
3F = DH×K = BJ+A = CCH×2 = BH×F = CKD×F = KGG +B +E =D +A+CH×A = KEK×F = JFind:
single digit corresponding to each letter
Solution:
CC must be 11, because the sum of any pair of single digits cannot exceed 18. (C = 1).
K must be 2, because H×K = B = H×2. (K = 2)
The only single-digit products involving 3 are 3×1 = 3, 3×2 = 6, and 3×3 = 9. We know F is not 1 or 2, so for 3F = D we must have F = 3, D = 9. (F = 3)(D = 9)
CK = 12, so H×F = 3H = 12. This means H = 4. (H = 4)
2H = B, so B = 8. (B = 8)
D×F = KG. Using the values for D, F, K, we find 9×3 = 27. (G = 7)
K×F = J = 2×3. (J = 6)
At this point, the only unassigned digits are 0 and 5.
H×A = KE. Filling in known values, this is 4A = 20 +E. (A = 5)(E = 0)
The sum E+15 = A+10 can also be used to assign values to A and E.
__
Then the letters corresponding to the digits 0-9 are ...
[tex]\texttt{01234 56789}\\\texttt{ECKFH AJGBD}[/tex]
The bicycle lock code is 3709528614.
what is the rate of change of the area of a circle with respect to the radius when the radius is r=3
Answers
Now the formula for the area of a circle is: πr². So we take 3 and just put it into the equation. π·3²=28.27. This is the area of the circle. Now the rate of change I think would just be the difference between the radius and the area of the circle so 28.27-3=25.27.
For brainily please help
Answers
Answer:
z is 11 and all angles are the same so all sides are 11
Plz help me I don’t understand. Thanks
Answers
there are two answer these are them:
5x + 2y = 10 and 15x = -6y - 9
Step-by-step explanation:
Solve the math problem
Answers
Thats too many questions mam Step-by-step explanation:
Jesse worked at the pool all summer and saved $500. Her parents want her to put the money into a bank account, where she would earn 2% simple interest monthly on her principal deposit of $500.
How much will she make in interest?
Answers
can anybody answer this? 3/5 x 25
Answers
Answer:
15
Step-by-step explanation:
Answer:
15
The answer is 15 (if 3/5 is a fraction)
The function y=-4x + 150 models the
amount of water in a fish tank over time.
y represents the amount of water left in
the tank in gallons. x represents the time
in minutes.
Part A: What does the slope of the
function's graph represent? What does
the y-intercept of the function's graph
represent?
Explain your reasoning.
Part B: After how many minutes will the
tank be empty? Explain your reasoning.
Answers
Answer:
Step-by-step explanation:
The equation y = -4x + 150 is telling us the gallons of water reaming (y) after x minutes. The -4 slope represents the rate water is leaving the tank. In this case, it is 4 gallons per mijnute. It is negative since it is leaving the tank. The y-intercept, 150, is the water volume at time 0 minutes, the start. If you only filled it with 75 gallons and then left, the equation would be y=-4x + 40. If you accidently left a valve open, the slope would have a greater negative value (e.g., -10). There is also an equation if your boss see the empty tank: Y = 4590x^9 + 15, where Y is yell ferocity and x is the hours worked that day. 15 is the initial attitude at the start of the day.
Given m and n find the value of X AND Y
Answers
Answer:
x=23 & y=129
Step-by-step explanation:
(5x+14)°+(3x-18)°=180°
5x+14°+3x-18°=180
8x-4°=180°
x=180+4/8
x=184/8
x=23
(3x-18)°=3×23°-18°=51°
(5x+14)°=5×23+14=129°
y+(3x-18)°=180°
y+51°=180°
y=180°-51°
y=129°
:)
Each cube in the prism is one cubic unit.
What is the volume of this rectangular prism
Answers
Answer:
I don't have answer but To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units
Answer:
The volume of this rectangular prism is 90.
Step-by-step explanation:
V = L * W * H
V = 6 * 3 * 5
The price of a sweater was reduced from $25 to &19. By what percentage was the sweater reduced by?
Answers
Answer:
24%
Step-by-step explanation:
Difference in price of sweater
=$25-$19
=$6
6/25×100%=24%
The first term in an arithmetic sequences is 8. The fourth term in the sequences is -4. The eighth term in the sequences is -20. Write the explicit form that would be used to find the nth term in the sequence. Show the steps you took to write the simplified explicit form.
HURRY PLEASE!!!!!!
Answers
Answer:
do you need that or something else
write an algebraic expression for: five more than a number cubed
Answers
Answer:
5+x^3
Step-by-step explanation:
The difference between 13 and a number is 4 more than twice the number
Answers
Answer: 3
Step-by-step explanation:
Let the number be 'a'.
Since the difference between 13 and a number is 4 more than twice the number, then 13 - a = 2a + 4
⇒ 13 - a = 2a + 4
2a + a = 13 - 4
3 a = 9
a = 3
∴ the number is 3a standard deck of 52 playing cards is placed facedown on a table how many cards must you draw from the deck to be certain that you will have a pair of the same value
Answers
I there’s 13 cards of 4 suits. you get as lucky as you can and on the low chance you draw all 13 different cards. The 14th card would HAVE to pair.
The required number of picks that will be made for the same value is 26.
Given that,
A standard deck of 52 playing cards is placed face down on a table how many cards must you draw from the deck to be certain that you will have a pair of the same value is to be determined.
What is arithmetic?
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
A card deck consists of 52 cards, and the deck has 4 number of cards of the same number but different families, which implies the number of 4 equivalents cards in the deck is 13 (Since 52 / 4).
According to the question number of the pair is to be determined that has the same value,
Total number of pairs = 2 * 13 = 26
Thus, the required number of picks that will be made for the same value is 26.
Learn more about arithmetic here:
https://brainly.com/question/11424589
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What is the 50th term of the linear sequence below? 27 , 25 , 23 , 21 , 19
Answers
Answer:
-73 sorry if im wrong
Step-by-step explanation:
find nth term but replace n with 50 equation is -2n+27
what is 4 divided by 2 3/4. for 6th grade math
Answers
Answer:
3 1/3
Step-by-step explanation:
4/(2 3/4)
4/(6/4)
4÷6/4
4*4/6
20/6
3 2/6 =3 1/3
Let f(t) represent the temperature of a turkey baking in an oven as a function of time (t) in the oven (in minutes). This means time is the independent variable and temperature of the turkey f(t) is the dependent variable. The turkey was in the oven for 360 minutes and then removed. Note that when something is baked in an oven, the temperature of the oven stays constant.
1. Describe the rate of change pattern over each interval of the graph listed below:
a) 0 < t < 345
b) 345 < t < 360
c) t > 360
2. Explain what is happening in each interval of your graph in terms of the turkey and its temperature, using complete sentences.
3. Let's say that the turkey sat on the counter for an additional hour (beyond the 390 minutes) and its temperature cooled to 80 degrees. Write that value in function notation.
Answers
express 5^20 as a power of 25
Answers
The expression of 5^20 as a power of 25 can be written as 25^10.
What are exponents?The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.
We need to express 5^20 as a power of 25
If we have a^b then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" means this statement might change from text to text slightly.
Thus, 5^20 can be written as ;
(5^2)^10 = 25^10
Therefore, the expression of 5^20 as a power of 25 can be written as 25^10.
Learn more about exponentiation here:
https://brainly.com/question/26938318
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2/3x=4
Group of answer choices
a. x= 8
b. x= 6
c. x = 8/3
Answers
i already did this and this was the answer
Equation of a line passing through the point ( -2 ,-4 ) is:
Answers
Answer:
Step-by-step explanation:
its a linear line so using the equation y=mx+c it can be determined that y=-4 when x=-2.
gradient (m) is -2 and c is -4
so that means y=-2x-4
re! Σ 209 A bus with kids and a truck with their bags started moving from the school to the camp at the same time. The speed of the bus was 60 mph. The speed of the truck was 45 mph. It took kids 3 hours to reach the camp. How long did they have to wait for their bags?
Answers
Compare in days.
55 days to 5 weeks
The ratio is
Answers
Answer: no.of days in 5 weeks= 5× 7= 35
ratio of 5 days to 5 weeks= 5/35
=1/7
answer= 1:7
Step-by-step explanation: .
Your bank account has in it. You deposit $5 per day.
(a) How much money is in your account after 5 days? Show your work
(b) After you have made all of your deposits, you withdraw $2 a day until your account balance is 0
many days will you withdraw $2? Show your work
Answers
a) y = 5(5) | y=25
b) =13
The dinner check for Lee's family was $79.30. Estimate a 15% tip.
Answers
Answer:
$11.90
Step-by-step explanation:
79.30 times 0.15
Answer:
The answer is 11.895. That's the exact answer.
Step-by-step explanation:
Original price X Discount %
Which of the following intervals is equivalent to the statement -3
1. (-3,9]
2. [-3,9)
3. (-3,9)
4. [-3,9]
Answers
Answer: choice 3
Step-by-step explanation:
ANYBODY WHO ANSWERS THIS QUESTION CORRECTLY WILL GET 40 POINTS. THE ONES IN GREY ARE THE ANSWER OPTIONS.
Answers
Answer:
140 students are in the school
Step-by-step explanation:
According to the Pie Chart, 70 students are 50%. So then, you multiply 50% of the survey to get 100% (the entirety surveyed). So 70 x 2 = 140
So there were 140 students in the school.
Answer:
70*2 = 140
Step-by-step explanation:
if half is 70, then 100% is 70*2 = 140
Mr. Garcia wants to package 16 math books and
20 science books into boxes. Each box will have the
same number of each type of book, with none left
over. What is the greatest number of books he can
put in each box? How many boxes are needed?
Answers
Answer:
four boxes are needed, greatest number 9??
Step-by-step explanation:
16 math and 20 science
4 5
4 5
4 5
4 5
you can divide both by 4
hope that helps
What is the slope and y intercept I’m really new to this and need help
Answers
Answer:
The y intercept is -1 and the slope is 4/1
Step-by-step explanation:
When you are trying to find the y-intercept, you look at where the line crosses over the y axis. In this case it was at -1.
The slope indicates how many units it is going up/down or left/right. In this case, the distance between each point is up 4, and right 1. so the slope would be 4/1.
I hope this helps :)
HELP 20 POINTS Lines j and k are shown in the diagram below. Some of the angles created when the lines are cut by a transversal are labeled in the diagram.
Answers
Answer: A
Step-by-step explanation: