Find the value of x and y using matrix method. 2x – 5y = 7 -2x + 4y = - 6
9514 1404 393
Answer:
(x, y) = (1, -1)
Step-by-step explanation:
The augmented matrix of coefficients for these equations is ...
[tex]\left[\begin{array}{cc|c}2&-5&7\\-2&4&-6\end{array}\right][/tex]
The row-reduction function of your calculator can find the solution to the system of equations. The result of using that function is ...
[tex]\left[\begin{array}{cc|c}1&0&1\\0&1&-1\end{array}\right][/tex]
This tells you the solution is (x, y) = (1, -1).
Help again please thanks guys
Answer: 42
Step-by-step explanation: This is just subtraction. You can do it one of two ways. Way one:
[tex]68\frac{1}{2} -26\frac{1}{2} =42[/tex]
Way two:
[tex]68.5 - 26.5 = 42[/tex]
The outside dimensions of a living room are 13' 0" x 22' 0". If the wall thickness is 5 1/8" , how many square feet of hardwood flooring are required for the living room floor? Allow 15% for waste A. 3,082 sq ft B. 295,35 sq ft C. 256.83 sq ft D. 3,432 sq ft
Answer:
B. 295,35 sq ft
Step-by-step explanation:
We are told that the outside dimensions of a living room are 13' 0" x 22' 0".
Since the wall has a thickness of 5 1/8", then the internal dimensions are;
Length = 22' 0" - 5⅛" - 5⅛" = 21' 1¾"
Width = 13' 0" - 5⅛" - 5⅛" = 12' 1¾"
The floor area will be length × width.
So let's convert length and width to feet
Length = 21' 1¾" = 21.1458 ft
Width = 12' 1¾" = 12.1458 ft
Area of floor required = 21.1458 × 12.1458 = 256.83
Allowing 15% for waste gives us;
Area provided = 256.83 × 1.15 = 295.35 Sq.ft
The quotient of eight and a number, subtracted
from five cubed
Answer:
5^3 - 8/n
Step-by-step explanation:
It helps to think backwards on these sometimes; try starting with the last value and going from there.
HTH :)
help, my teacher told me its wrong
Answer:
rate is $1.50
Step-by-step explanation:
4 to 8 has a difference of $6
every one pound will increase by 1.5
and the equation is correct
Please help! I’ll give brainliest!!!
The number line shows the change in temperature from 7:00 a.M. To 1:00 p.M. Which expression shows how to find the difference between the temperatures at 7:00 a.M. And 1:00 p.M.?
Answer:
B
Step-by-step explanation:
The options in the question and the number line are shown in the image attached.
From the options, it is clear that the difference between the temperatures at 7:00 a.M. and 1:00 p.M is;
Temperature at 7:00 a.M - Temperature at 1:00 p.M
We can see from the number line that the temperature at 7:00 a.M = -4
Temperature at 1:00 p.M = 16
difference between the two temperatures = ∣(-4) - 16∣ = 20
GE=5x+36 and GF=2x+51. What is the value of x? A=12 B=5 C=29 D=2
Answer:
x=5
Step-by-step explanation:
5x + 36 = 2x + 51
5x -2x = -36 + 51
3x = 15
15/3
x = 5
A vacuum cleaner costs £85
Fred gets 10% off the price of the vacuum cleaner.
Work out how much he has to pay
Answer: £76.50
Step-by-step explanation:
You find 10% of 85 = 8.5
then you do £85-£8.50 = 76.50
En Mercurio las cosas pesan 4 veces menos que en la Tierra. Si un objeto pesa 30 kg en Mercurio, ¿Cuánto pesará en la Tierra? A- ¿26 kg? B- ¿120 kg? C- ¿7,5? D- ¿34 kg?
Answer:
B- ¿120 kg?
Step-by-step explanation:
Dado que la información proporcionada menciona que en Mercurio las cosas pesan 4 veces menos que en la Tierra, para encontrar el peso en la Tierra cuando tienes el precio del objeto en Mercurio, tienes que multiplicar este peso por 4:
30kg*4=120 kg
De acuerdo a esto, la respuesta es que el objeto pesará 120 kg en la Tierra.
Answer:
120 kg pesa el objeto en la tierra
Explicación paso a paso:
Tierra. Mercurio
1kg ----- 1/4 kg
¿? ---------- 30gk
Regla de tres..
1X30 ÷ (1/4)
= 120 kg pesa el objeto en la tierra.
who ever gets this correct ill give brainliest and thank you and 5 stars
solve the following system
6x-3y=15
x+3y=-8
This system can be solved for x by elimination.
[tex]6x - 3y = 15\\ x + 3y = -8\\\\7x = 7\\\\x = 1[/tex]
Now, with what we found for x, we plug it back into one of the equations to solve for y. I chose the second one.
[tex]1 + 3y = -8\\\\3y = -9\\\\y = -3[/tex]
Now, we have our solution.
[tex](1, -3)[/tex]
Answer:
(1,-3)
Step-by-step explanation:
6x-3y=15
substitute x with 1 and y with -3
6(1)-3(-3)=15
6+9=15 so that's true
x+3y=-8
again substitute x with 1 and y with -3
(1)+3(-3)= -8
1-9=-8
-8=-8 and that's true
hope i helped
Drag each number to the correct location on the equations. Each number can be used more than once, but not all numbers will be used. Roy and Elisa are buying tickets for the annual school concert. Roy buys 6 adult tickets and 2 child tickets for a total of $66. Elisa buys 5 adult tickets and 4 child tickets for a total of $62. Determine the system of equations that can be used to find the cost of one adult ticket, a, and the cost of one child ticket, c. 66 62 5 2 8 128 4 6
Answer:
a=$10
c=$3
Step-by-step explanation:
Step one:
given data
let adults tickets be a
and child tickets be c
so
Roy's purchase
6a+2c=66------1
Elisa's purchase
5a+4c=62-------2
Hence, the system of equations
6a+2c=66------1
5a+4c=62-------2
solving simultaneously
6a+2c=66------1 x2
5a+4c=62-------2 x1
12a+4c=132
-5a+4c=62
7a=70
divide both sides by 7
a=$10
put a=70 in 1
6(10)+2c=66------1
60+2c=66
2c=66-60
2c=6
c=$3
Answer:
first answer is right trust that one.
Step-by-step explanation:
Find the slope that passes through (4,9) and (6,8)
Solve for r:
6r - 8 = 4r + 2
please
Answer:
R = 5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
= 5
Step-by-step explanation:
1. Add 8 to both sides of the equation
2 . Simplify
3 . Subtract 4 from both sides of the equation
4 . Simplify ( combine like terms )
5 . Divide both sides of the equation by the same term
6 . Simplify
What value of x would prove that lines I and M are parallel ?
Answer:
x = 17
Step-by-step explanation:
For the lines to be parallel, then
(8x - 31) and (6x + 3) are alternate angles and congruent, then
8x - 31 = 6x + 3 ( subtract 6x from both sides )
2x - 31 = 3 ( add 31 to both sides )
2x = 34 ( divide both sides by 2 )
x = 17
8.
Pool X currently has 1,200 gallons of water and is being drained at a rate of 15 gallons per minute. Pool Y is currently empty and is being filled at a constant rate of 25 gallons per minute. Which inequality represents the situation when the amount of water in Pool Y is greater than the amount of water in Pool X?
1,200 - 15x > 25x
1,200 + 15x > 1,200 + 25x
1,200 - 15x < 25x
1,200 + 15x < 25x
What is the y-intercept of the graph of the linear function?
Answer:
make me the branliest the answer is C
Step-by-step explanation:
Pool X has 1200 gallons of water in it. It is being drained at a rate of 15 gallons per minute. If lowercase x is the number of minutes, then it has 1200-15x gallons left in the pool.
Consider after 1 minute we have x = 1, so,
1200-15x = 1200-15*1 = 1200-15 = 11185
Then after 2 minutes we have x = 2, which means,
1200-15x = 1200-15*2 = 1200-30 = 11170
is the amount left over in gallons.
----------------
In contrast, Pool Y is empty and we add 25 gallons per minute. So we start with 0 and add on 25x getting 0+25x = 25x as the expression representing the amount of gallons of water in Pool Y
-----------------
So we found these two expressions
1200-15x
25x
to represent the amount of water (in gallons) for Pool X and Pool Y respectively.
We want to know when Pool Y will have more water. So we get to this final answer
1200 - 15x < 25x
It is in the form A < B, where A is the amount of water in Pool X and B is the amount of water in Pool Y.
PLEASE solve both question with each step!!
Answer:
6x+10-3x=55
6x-3x=10+55
3x=65
65÷3=21.6
-2/3x+ 3/7 = 1/2
x= ?
Step-by-step explanation:
-2/3x+ 3/7 = 1/2
-2/3x = 1/2 -3/7
-2/3x = 7-6 /14
-2/3x = 1/14
3x = 1/14×(-2)
3x = 1/ -28
x = 1/ -28×3
x = 1/-84
You have family traveling from far away to come to your house for Thanksgiving. If they travel 342 miles and arrive to your house in 6 hours, how fast were they traveling? * 1 point
Answer:
they traveled at 57 miles per hour
Answer:
57 mph
Step-by-step explanation:
Which sequence of transformations proves that shape I is similar to shape II
A. a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 2
B. a reflection across the x-axis, and then a dilation by a scale factor of 3
C. a reflection across the x-axis, and then a dilation by a scale factor of 2
D. a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 3
Answer: C.
a reflection across the x-axis, and then a dilation by a scale factor of 2
Step-by-step explanation: Just took the test and got it right.
Answer:
C. A reflection across the x-axis, and then a dilation by a scale factor of 2.
Step-by-step explanation:
Edmentum/Plato Answer
Martha ran a 5-kilometer race in 22.5 minutes what is Martha's unit rate
write the next three terms of the arithmetic sequence
-3/2, -1/2, 1/2, 3/2, 5/2, __, __, __
Answer:
8/2, 11/2, 13/2
Step-by-step explanation:
You just add 2 to the top number each time and keep the bottom number as 2.
:)
Three pounds of bananas cost $7. How many pounds of bananas per dollar is that?
Answer:
It is $2.33 per pound I think
This graph shows the costs of purchasing two types of bird seed mix. Which statement is true? Seed Mix A is more expensive than Seed Mix B. Seed Mix B is more expensive than Seed Mix A. Seed Mix A and Seed Mix B cost about the same. A graph measuring cost and bags. Two lines, labeled Seed Mix A and Seed Mix B, exit the origin to show that cost increases as bags increases
Answer:
seed Mix A is more expensive than Seed Mix B.
Step-by-step explanation:
The graph of Mix A is above the graph of Mix B.
Looking at the labels of the graphs, we see that the x-axis represents the number of bags bought and the y-axis represents the cost.
For every point along the x-axis, Mix A's cost is above Mix B's cost. This means that Mix A is more expensive.Step-by-step explanation:
Answer:
A is more money than B
Step-by-step explanation:
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Answer:
Can I please have Brainlyest
Step-by-step explanation:
Hope you have a great day LOL :)
Peach Produces pays its employees by the formula, P(b)=52b+45 P b = 5 2 b + 45 , where P(b) P b is the employee’s total daily pay and b is the number of bushels of peaches picked. According to the formula, what is the rate employees are paid per bushel of peaches picked?
A $5.00
B $2.00
C $45.00
D $2.50
Answer:
$2.50
Step-by-step explanation:
Given the daily pay formula :
P(b)=5/2b+45
P(b) = employee’s total daily pay
b = number of bushels of peaches picked
Hence from the fórmula ; rate which employees are paid per bushel. Of peach picked is the gradient of the equation :
According to the intercept slope formula:
y = mx + c ; where m = slope or gradient
From the equation :
P(b)=5/2b+45
The slope or gradient is 5/2 ; hence, employees are paid $5/2 per bushel of peaches picked.
$5/2 = $2.50
WILL MARK BRAINIEST.
Draw a line representing the rise and a line representing the run of the line state the slope of the line in simplest form. NOTE- please draw a line clearly showing the rise and run and what the slope is thanks
Answer:
y=-3/2+6 (slope is -3/2)
Step-by-step explanation:
Find a point and use the rise/run method.
You go up 3 and left 2. This makes your slope
The b is 6 because that's where the line hits the y-axis
Refer to the previous question.
Consider the four options from Question 2 that could be a good choice for Cal Amity's survey. Then, select the one that you think would work most effectively in this situation. Lastly, describe in detail how you would select the individuals in the survey sample. (Include details such as how you might split the population into groups and/or what process you would use to make sure the survey respondents are chosen randomly, etc.) Support your choice of a random sampling method by explaining why it would be most effective in reducing bias.
The previous question:Which type of sample would not be a good choice for Cal Amity's survey, because it is known to cause bias?
a convenience sample
a stratified sample
a systematic sample
a simple random sample
a cluster sample
Answer:
The correct approach is "a simple random sample".
Step-by-step explanation:
A simple random sample will become more efficient throughout this scenario because a sample of individuals becomes randomly generated from some kind of community so each individual has the same likelihood of someone being picked. This would contribute to the unpredictability as well as freedom of the experiments.Some other four approaches do never use any of certain characteristics. So that is indeed the best decision.
2+3+7+34+7000+12242534
Answer:
The answer is 12249580
Step-by-step explanation:
add all the numbers:)
Answer:
12249580
Step-by-step explanation: