Answers
Write the system as an augmented matrix:
[tex]\left[\begin{array}{cc|c}1&5&22\\4&-7&7\end{array}\right][/tex]
Add -4 (row 1) to row 2 :
[tex]\left[\begin{array}{cc|c}1&5&22\\0&-27&-81\end{array}\right][/tex]
Multiply row 2 by -1/27 :
[tex]\left[\begin{array}{cc|c}1&5&22\\0&1&3\end{array}\right][/tex]
Add -5 (row 2) to row 1 :
[tex]\left[\begin{array}{cc|c}1&0&7\\0&1&3\end{array}\right][/tex]
Then x = 7 and y = 3.
Related Questions
Twenty-four pairs of adult brothers and sisters were sampled at random from a population. The difference in heights,
recorded in inches (brother's height minus sister's height), was calculated for each pair. The 95% confidence interval
for the mean difference in heights for all brother-and-sister pairs in this population was (-0.76, 4.34). What was the
sample mean difference from these 24 pairs of siblings?
O-076 inches
O O inches
O 179 inches
O 4.34 inches
Answers
Answer:
C) 1.79
Step-by-step explanation:
Just got it right on edge 2022
PLEASE HELP ILL GIVE BRAINLIEST, DIFFICULT ALGEBRA
Answers
Which of the following is a hard skill that a marketing manager might use on
a regular basis?
A. Using coding skills to create websites for clients
B. Using spreadsheets to plan budgets
C. Using listening skills to understand employee concerns
D. Using leadership skills to motivate a project team
SUBMIT
Answers
Answer: B. Using spreadsheets to plan budgets
Step-by-step explanation: yes
An actor, Bob, wants to gain weight to look the part for his role as an overweight truck driver in an upcoming movie. He decides to add servings of banana splits (S) and bacon rolls (B) to his diet. Each serving of S is 1,000 calories and each serving of B is 500 calories. Bob has a history of health problems and his doctor has recommended that he needs to control his cholesterol and sugar levels in his food intake. Each serving of S contains 1 unit of cholesterol and 3 units of sugar. Each serving of B contains 4 units of cholesterol and 1 units of sugar. His doctor recommends that his cholesterol be no larger than 10 units and his sugar levels should be at least 2 units and no larger than 9 units. What should be the objective function (C) to select the optimal choice of Sand B in order for Bob to ingest as many calories as possible? A. C = 105 + 5B B. C = 1000S + 500B C. C = S+BD. None of the above
Answers
Answer:
[tex]C = 1000S + 500B[/tex]
Step-by-step explanation:
Given
[tex]S = Banana\ Splits[/tex]
[tex]B=Bacon\ Rolls[/tex]
Reading through the question, we have:
Number of calories per serving:
[tex]S \to 1000[/tex]
[tex]B \to 500[/tex]
Let
[tex]x = Cholesterol[/tex]
[tex]y =Sugar[/tex]
So, we have:
Each serving of S
[tex]x \to 1S[/tex]
[tex]y \to 3S[/tex]
Each serving of B
[tex]x \to 4B[/tex]
[tex]y \to 1B[/tex]
Recommendation
[tex]x \to \le 10[/tex] - i.e. not more than 10 units of cholesterol
[tex]y \to \ge 2 \& \le 9[/tex] i.e. At least 2units but not more than 9 units of sugar
So, the constraints are:
[tex]S + 4B \le 10[/tex]
[tex]3S + B \ge 2[/tex]
[tex]3S + B \le 9[/tex]
Recall that the calories per serving is:
[tex]S \to 1000[/tex]
[tex]B \to 500[/tex]
Hence, the objective function is:
[tex]C = 1000S + 500B[/tex]
A triangle has an angle that measures 50 degrees. the other two angles are in a ratio of 3:10. What are the measures of those two angles
Answers
Answer:
100 degrees, 30 degrees
Step-by-step explanation:
Write an expression for the measures of the other two angles:
one angle = 3x
other angle = 10x
These are in the ratio 3:10, but you don't know the value of x YET!
Fact: all 3 angles sum to 180 degrees.
50 + 3x + 10x = 180
50 + 13x = 180
13x = 130
x = 10
Now plug this value into the two expressions for the angle measures.
one angle = 3(10) = 30 degrees
other angle = 10(10) = 100 degrees
Suppose that when your friend was born, your friends parents deposited $2000 in an account paying 5.9% interest. What will the account balance be after 15 years?
Answers
Answer:
FV= $4,725.74
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $2,000
Number of periods (n)= 15 years
Interest rate (i)= 5.9% = 0.059
To calculate the Future Value, we need to use the following formula:
FV= PV*(1 + i)^n
FV= 2,000*(1.059^15)
FV= $4,725.74
Find the area of rectangles with the following dimensions.
a. 2 ¼ yd × ¼ yd =
b. 2 ½ ft × 1 ¼ ft = _____
Answers
Answer:
I think this is the answer I hope I have helped you
Step-by-step explanation:
a
b
which lengths could represent the side lengths of a right triangle
Answers
In order to solve this you have to do Pythagorean theorem which is a(squared) + b (squared) = c (squared)
The volume of a certain cube can be found using the expression 53.
What is 53 written as a product of the same factor?
???? pls help my math test
Answers
Answer:
5×5×5
Step-by-step explanation:
hey it's your answer
have a great day dear
Answer:
5³ = 5*5*5Step-by-step explanation:
Volume of a cube:
V = a³, a- side of the cubeIf you have an expression 5³, it means 5 is multiplied by itself 3 times:
5³ = 5*5*5 = 125Pete bought a house in 2009 for $200,000.
The value of his house increased by 10%
annually.
Answers
Answer:
Value of house in 2021 = $627,680 (Approx.)
Step-by-step explanation:
Given:
Value of house in 2009 = $200,000
Rate increased per year = 10% annually
Find;
Value of house in 2021
Computation:
Number of year = 2021-2009 = 12 year
Value of house in 2021 = Value of house in 2009[1+Rate increased per year]ⁿ
Value of house in 2021 = 200,000[1+10%]¹²
Value of house in 2021 = 200,000[1+0.1]¹²
Value of house in 2021 = 200,000[1.1]¹²
Value of house in 2021 = 200,000[3.1384]
Value of house in 2021 = $627,680 (Approx.)
help needed! no links please, they're annoying.
Answers
The length of this 3x and the width is 2x-3. This means that, to find the area, you need to multiply 3x and 2x-3.
Start by writing out this equation:
A=l*w
Then, plug in your given values:
A= 3x*2x-3 (you can also write it as A= 3*x*2*x-3)
Then, following the order of operations, you start by multiplying. This makes your equation become A = 6x^2 -3. (^2 means squared). It turns into this because 3 * 2 is 6 and x * x is x^2 and you still haven’t used the 3 yet.
After this, there is nothing more that you can do to simplify the equation. Therefore, the area is 6x^2 - 3.
I hope this helped!
Jason represented the values of his 35 baseball cards in a histogram and in a stern-and-leaf plot. Which of these best describes the graph and characteristic that allow Jason to find the median value of his 35 baseball cards?
Answers
are there any choices?
Step-by-step explanation:
Sally found 33 fossils. She found twice as many plant fossils as animal fossils. How many of each type of fossil did she find
Answers
Answer:
a = 11
b = 33
Step-by-step explanation:
Given :
Total fossil found = 33
Let :
Number of plant fossil = b
Number of animal fossil = a
a + b = 33
Plant fossil = 2 times number of animal fossil
b = 2a
Put b = 2a
a + 2a = 33
3a = 33
Divide both sides by 3
3a/ 3 = 33/3
a = 11
a + b = 33
11 + b = 33
b = 33 - 11
b = 22
Batteries cost $3.65 / pack. How many packs did Mark buy if he spent $36.50?
Answers
Answer: 10 packs
Step-by-step explanation:
36.50/3.65=10
There is a population of 10,000 bacteria in a colony. If the number of bacteria doubles every 14 hours, what will the population be 28 hours from now?
Answers
Answer:
for the first 14 hours it doubles to 20,000, then once it reaches 28 hours it'll be 40,000. its an exponential growth
The population growth of bacteria after 28 hours will be equal to 40,000.
What is an arithmetic operation?The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the set of information in the question,
Total population of Bacteria = 10,000
Rate of growth of bacteria = Twice in 14 hours
Rate of growth in 28 hours = 4 times the total population.
Then the total bacteria (B) in the colony after 28 hours,
B = 4 × 10,000
B = 40,000
To know more about arithmetic operations:
https://brainly.com/question/13585407
#SPJ2
Kallisto built a rectangular sign that measured 2 and 3/4. The width is 1 and 1/4 shorter than the length. To find the area, multiply the length and width. What is the area in square feet write an equation to solve it
Answers
Answer:
l = 1 5/16
w = 1/16
A = 21/16 x 1/16 = 21/256
Step-by-step explanation:
Perimeter = 11/4
l = length
w = l - 5/4
2l + 2(l - 5/4) = 11/4
2l + 2l - -5/2 = 1/4
multiply each side by 4
8l + 8l - 10 = 11
16l = 21
l = 21/16 or 1 5/16
width = 21/16 - 20/16 = 1/16
A cylinder has a diameter of 14 cm and a volume of 112 pi.
What is the height in, centimeters, of the cylinder?
(PS I am literally giving 15 points for the correct answer!!!)
HELP! :(
Answers
Diameter = 14 cm
Radius = 7 cm (14/2)
Volume = 112 pi
Volume of cylinder = pi(radius)^2 h
112pi = pi(7)^2 h
Divide both sides
112 = 49 h
h = 112/49
h = 2.285 centimeters
Find the value of x
Answers
Answer:
3
Step-by-step explanation:
bigger triangle is the special 5 12 13
so the hypotenuse is 13
the smallest side is 5
and the medium side is 12
sincd the sides of the smaller triangle are 4 and 5
x must be 3 because of 3 4 5 triangles
Each graph below shows a relationship between x and y. For each graph, determine whether x and y are proportional. If x and y are proportional, fill in the blank with a number.
Answers
What the volume of a cylinder with a diameter of 6mm and a height of 7 mm.it says it’s 700 something but the only answers on the test are as low as 100 and highest is 230? Help plz
8th grade math*
Answers
Answer: 197.82mm³
Step-by-step explanation:
Volume of a cylinder = πr²h
where,
π = 3.14
r = Diameter/2 = 6mm/2 = 3mm
h = 7mm
Volume = πr²h
= 3.14 × 3² × 7
= 3.14 × 9 × 7
= 197.82mm³
The volume of the cylinder is 197.82mm³
The distance from the
Earth to the Moon is
238.900 miles. Earth's
diameter is 7,917 miles.
How many Earths
would fit
between Earth
and The Moon?
Answers
Answer:
30.1756...
Hope that this helps!
22. Isosceles triangle EFG is shown below inscribed in circle 0. If the measure of ZGEF is 34°, determine the measure of EHG. WILL GIVE BRAINLIEST
Answers
(Find the value of): (125)-2/3
Answers
suppose g(x)=f(x+1)+5.which statement best compares the graph of g(x) with the graph of f(x)
Answers
Answer:
g(x) : horizontal transformation to the left 1 unit and vertical transformation UP 5 units to f(x)
Step-by-step explanation:
g(x) : horizontal transformation to the left 1 unit and vertical transformation UP 5 units to f(x)
Probability of getting 2 hears and 1 diamond in the first draw of 52 cards
Answers
Answer: 26/52
Step-by-step explanation:
Use algebra to show that the recurring decimal 0.2813 =
557
198
Answers
Step-by-step explanation:
tell me the answer when u get too!!
btw its 557/1980
The proof is shown in the solution.
What are recurring decimals?A repeating decimal or recurring decimal is a decimal representation of a number whose digits are periodic, and the infinitely repeated portion is not zero.
Given that, show that the recurring decimal 0.2813 = 557 / 198
Let 0.2813 be x
0.2813 = x......(i)
2813.2813 = 10000x......(ii)
Subtracting eq(i) from eq(ii)
2813 = 999x
x = 2813 / 999
x = 557 / 198
Hence, proved
For more references on recurring decimal, click;
https://brainly.com/question/26193251
#SPJ2
What is the value of the y-coordinate of point A
Answers
Answer:
there's no pic
Step-by-step explanation:
can you re attach it plz I might be able to help
8. Stan made 4 goals out of 6 attempts in soccer today. What fraction
of attempts did Stan make? Please help
Answers
Answer:
[tex]\frac{4}{6}[/tex]
Step-by-step explanation:
PLEASE HELP, IT WOULD BE GREAT IF SOMEONE COULD ANSWER QUICKLY AND CORRECTLY!!!!
DONT LINK ANY FILES!!!
Which expression represents the perimeter of the figure below?
Answers
Answer:
5x+2y+z
Step-by-step explanation:
just count all of the variables
Answer:
C
Step-by-step explanation:
Grace has $500 in her bank
account. Every week she
withdraws $35. How
many
weeks
can she withdraw the money if
she wants to keep her account
above $250?