4x-4y+4z=8
9x+3y+z=6
16x+4y+z=2
9514 1404 393
Answer:
(x, y, z) = (-1, 3, 6)
Step-by-step explanation:
The augmented matrix for the system is ...
[tex]\left[\begin{array}{ccc|c}4&-4&4&8\\9&3&1&6\\16&4&1&2\end{array}\right][/tex]
Your graphing or scientific calculator can tell you the solution to this system is ...
(x, y, z) = (-1, 3, 6)
__
If you want to solve this by hand, it can work well to divide the first equation by 4 to get ...
x -y +z = 2
This can be subtracted from the other two equations to eliminate z.
(9x +3y +z) -(x -y +z) = (6) -(2) ⇒ 8x +4y = 4
(16x +4y +z) -(x -y +z) = (2) -(2) ⇒ 15x +5y = 0
These two equations can be reduced to standard form:
2x +y = 13x +y = 0Subtracting the first equation from the second, we have ...
(3x +y) -(2x +y) = (0) -(1) ⇒ x = -1
Substituting into the first gives y:
2(-1) +y = 1
y = 3 . . . . . . . add 2
Then we can find z from the reduced first equation above:
z = 2 -x +y = 2 -(-1) +3 = 6
Then the solution is (x, y, z) = (-1, 3, 6).
A closed box has a square base with side length l feet and height h feet. Given that the volume of the box is 29 cubic feet, express the surface area of the box in terms of l only.
Answer:
The surface area of the box in terms of l is [tex]2l^2 +116/l[/tex]
Step-by-step explanation:
The length of the box = [tex]l[/tex]
The height of the box = [tex]h[/tex]
The volume of the box can be obtained by multiplying the surface area of the base by the height of the box.
The surface area of the base of the box is a square, so it will be obtained by multiplying [tex]l \times l = l^2[/tex]
hence volume = [tex]l^2 \times h =29[/tex]
Notice that we are told to give our answer in terms of l, so we will make h the Subject of the formula in the above equation.
[tex]h =29/l^2[/tex]
In the next phase, we are to find the surface area of the box.
The box has a square base, hence it will be made up of
2 squares with 4 rectangles. This is assuming the top is closed.
This means the surface area will be
[tex]2(l^2) +4 (l\times h)[/tex]
recall [tex]h = 29/l^2[/tex]
Hence, surface area =
[tex]2(l^2) +4(l \times 29/l^2)\\2l^2 +116/l[/tex]
The surface area of the box in terms of l is [tex]2l^2 +116/l[/tex]
The surface area of the closed box in terms of l only, which has the square base is,
[tex]2l^2+\dfrac{116}{l}\;\rm ft^2\\[/tex]
What is of volume of cuboid?
Volume of cuboid or box is the amount of quantity, which is obtained by it in the 3 dimensional space.
The volume of cuboid or box can be given as,
[tex]V=l\times b\times h[/tex]
Here, (l) is the length, (b) is the width of the box and (h) is the height of the box.
A closed box has a square base with side length l feet and height h feet. Therefore, the length and width will be the same.
The volume of the box is 29 cubic feet. Thus,
[tex]29=l\times (l)\times h\\h=\dfrac{29}{l^2}[/tex]
The surface area of the square base box is,
[tex]A=2l^2+4lh[/tex]
Put the value of height,
[tex]A=2l^2+4l\dfrac{29}{l^2}\\A=2l^2+\dfrac{116}{l}\\[/tex]
Hence, the surface area of the closed box in terms of l only, which has the square base is,
[tex]2l^2+\dfrac{116}{l}\;\rm ft^2\\[/tex]
Learn more about the volume of cylinder here;
https://brainly.com/question/12748872
3+5x-4-7x=2x-4x+1 i have to solve this problem
Answer:
Undetermined x=x
Step-by-step explanation:
First, you need to simplify each side by combining like terms:
(5x - 7x)(+3-4) = (2x - 4x) +1
-2x - 1 = -2x + 1 is your simplified expression.
After adding 1 to both sides, you're left with: -2x = -2x
You can divide both sides by -2, you'd get: x = x
Therefore, it's undetermined. Meaning, there are no possible solutions or there's infinite solutions. In this case, there's infinite solutions.
if w is the cube root of unity
(x-wy+w^2z)/(y+wz+w^2z)
only correct ans allowed wrong ans will be reported
Answer:
are you sure
Step-by-step explanation:
bro i am trying to answer your question
Multiple-choice questions
Tick the correct answer to each of the questions below.
1 When selling a product to your client it is important to:
a make sure it is the most expensive
b give good advice on how to use it
c make sure the sale is quick
d put it in an attractive bag
2 Always having retail products in stock is one way of:
a spending a lot of money on stock
b making more money
c leaving the salon vulnerable to theft
d keeping clients happy
3 Communication occurs between people through:
a body language and speech
b talking to the client in consultation
c verbal, non-verbal and written forms
d verbal and written forms
Answer:
1. B
2.D
3.D
Don't hold me to my answers, they are just the best answers and i have experience with these things. I hope this helps
Answer:
1=b
2=b
3=c
Step-by-step explanation:
I HOPE THIS HELPED
IF WRONG IM SORRY HAVE A WONDERFUL WEEK:)
13a+15a
i need the answer now.
Answer:
28a
Step-by-step explanation:
add the 13 and the 15 but make sure you put the a back on the end
Answer:
28a
Step-by-step explanation:
13a + 15a = 28a
Just simply add the like terms.
Simplify these expressions
2a + 5a
12x-3x
3p+2p-p
Step-by-step explanation:
1.solution
=2a+5a
=7a
2.solution
=12x-3x
=9x
3.solution
=3p+2p-p
=5p-p
=4p
Hope it helps you.
Hey there!
1. “2a + 5a”
COMBINE your LIKE TERMS
2 + 5 = 7
So this means that: 2a + 5a has to equal 7a
Answer: 7a ☑️
2. “12x – 3x”
COMBINE your LIKE TERMS
12 – 3 = 9
So that means 12x – 3x has to equal 9x
Answer: 9x ☑️
3. “3p + 2p – p”
Side note: “P” by itself is understood as 1
Equation: 3p + 2p – 1p
COMBINE your LIKE TERMS
3p + 2p – 1p
3 + 2 = 5
Which makes 3p + 2p have to equal to 5p
5 – 1 = 4
So this means that 5p – 1p has to equal to 4p
Answer: 4p ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
can somebody pls help me solve this question?
Answer: Im pretty sure its G
Step-by-step explanation:
Please someone help me out. This is due soon.
Answer:
1. 8 people
2. 2 people
3. the difference is 1
4. 4 people
5. skiing, snowboarding, ice skating, sledding
Step-by-step explanation:
1. it shows on the graph
2. you subtract the number of people ice skating by the number of people sledding
3. you add ice skating and sledding then subtract that total from the amount of people skiing
4. you have to subtract skiing from ice skating and then add one to ensure it is the most liked
you simply go from greatest to least
PLEASE ANSWER ASAP FOR BRANLEST!!!!!!!!!!!!!!!
Solve the equation
1/3t - 8 = -6
what is t?
Answer:
t=6
Step-by-step explanation:
your welcome :)
Answer:
I believe that the answer is 6
Step-by-step explanation:
Because I got it right
A sample of n = 4 scores has SS = 48. What is the estimated standard error for this sample? Group of answer choices
Answer:
2
Step-by-step explanation:
We have
n = 4 scores
SS = 48
For this question, we are required to find the estimated standard error
To get this, we first solve for the variance
S² = SS/n-1
= 48/4-1
= 48/3
= 16
Then S² = 16
S = √16
S = 4
Then the estimated standard error is given by:
S/√n
= 4/√4
= 4/2
= 2.
The estimated standard error is 2.
84.5 divided by 6261.45
Answer:
74.1
Step-by-step explanation:
Which has the least value for 9? *
A. 1.95
B. 0.1039
C. 3.092
D. 2.009
Answer:
0.1039
Step-by-step explanation:
Obtain the place value of 9 in each value and choose the smallest :
1.95
9 is the first digit after the decimal point ; which is equal to 0.9 = tenth place
0.1039
9 is the 4th digit after the decimal point ; which is equal to 0.0009 = ten thousandth place
3.092
9 is the second digit after the decimal point ; which is equal to 0.09 = hundredth place
2.009
9 is the third digit after the decimal point ; which is equal to 0.009 = thousandth place
Hence the smallest value of 9 among the options given resides in 0.1039 (ten thousandth place).
5x+6(x-2)-8(x-3) simplify the expression
Final Answer: [tex]3x + 12[/tex]
Steps/Reasons/Explanation:
Question: Simplify the expression [tex]5x + 6(x - 2) - 8(x - 3)[/tex].
Step 1: Expand by distributing terms.
[tex]5x + 6x - 12 - 8(x - 3)[/tex]
Step 2: Expand by distributing terms.
[tex]5x + 6x - 12 - (8x - 24)[/tex]
Step 3: Remove parentheses.
[tex]5x + 6x - 12 - 8x + 24[/tex]
Step 4: Collect like terms.
[tex](5x + 6x - 8x) + (-12 + 24)[/tex]
Step 5: Simplify.
[tex]3x + 12[/tex]
~I hope I helped you :)~
I hate math
First thing's first, PEMDAS. There's nothing to solve in the parenthesis, and there are no exponents, so use multiplication next. 6 • (x-2) and -8 • (x-3)
Your equation after should be
5x + 6x - 12 - 8x + 24
Next would be addition, don't forget it's always left to right.
11x - 12 - 8x + 24
Subtract twelve from the total (or in this case just from 24, and then add the remaining values (that are possible).
11x - 8x + 12
Next, subtract the two remaining x values.
3x + 12
And there you have it. Easy peasy.
If the case is trying to find x, just solve it like this.
3x = -12
x = 4
60 minutes equal to how many hours
Answer:
One hour
Step-by-step explanation:
Sixty minutes is one hour. Hope I helped you out.
Answer:
1 hour
Step-by-step explanation:
60 seconds = 1 minute
60 minutes = 1 hour
Lil Pump = Forever
Jacob won 62 super bouncy balls playing
horseshoes at the county fair. At school he
gave two to every student in his math class. He only has 2 remaining. How
many students are in his class?
Answer:
30
Step-by-step explanation:
62 = 2x + 2
62 - 2 = 2x
60 = 2x
x = 30
Find the slope intercept equation of the line
Answer: The answer is y=2x-2
Step-by-step explanation: Slope intercept form is y=mx+b. m= the slope and b=the y-intercept (the point on the y axis that the line crosses). The slope using rise/run is -2/1 making m=2 and the point on the y axis where the line intercepts is -2.
Helppppppppppppp plssssssssssss
Answer:
Derrick mistakenly combined the numbers adding it together but the numbers are not the same value to be combined. You cannot add yards and ft together.
Width = 55ft
Area = 4950 sq ft
Cost = $9900
Step-by-step explanation:
Derrick mistakenly combined the numbers adding it together but the numbers are not the same value to be combined. You cannot add yards and ft together.
You have to convert the yards to ft to add it to the other ft.
1 Yard = 3 ft
So the width is 18 yards 1 ft = 54ft + 1ft = 55ft
To calculate the area is L x W
The length is 30 yards. Convert that to ft = 90ft
So 90 x 55 = 4950 sq ft
At $2 per sq ft, you multiply the 4950 sq ft by $2
2 x 4950 = $9900
On a recent survey, 60% of those surveyed indicated that they preferred taking a trip to the beach over a trip to the mountains. If 810 people preferred a trip to the mountains, how many preferred a trip to the beach?
Question 2 options:
1) 810
2) 1,215
3) 1,350
4) 2,025
Answer:
answer is 1350
Step-by-step explanation:
I have seen this question before.
Write an equation in slope-intercept form for the line.
slope: 0.8, y-intercept: 10
Group of answer choices
y = –0.8x + 10
y = 0.8x – 10
y = 0.8x + 10
y = 5/7x + 10
Answer:
y = 0.8x – 10
This is the correct answer.
Step-by-step explanation:
These are so annoying
Answer:
a=4
b=6
perimiter=38
Step-by-step explanation:
you take the side lengths by it and you can subtract and stuff then you add them all up to find the perimeter
Answer:
3-9=6 and 6-10=4
Step-by-step explanation
part of b is cut by 3 as u can see above and 9 is at the bottom on which the part is cut, as for the other one 10 is the main line and is cut by 6. so u just have minus the main line aka the long line by a parallel line next to it
What is the value of x? (trignonometry) WILL give branliest if its delivered in time
Answer:
x+x+64=180
2x+64=180
2x=116
x=58
Sun estimated the quotient of -23.514 and -3.98 by rounding each to the nearest integer. Which equation shows the correct estimation?
-23.514÷-3.98
O -24÷-4=6
O -24÷4=-6
O 24÷3=8
O 24÷-3=-8
Answer:
A
Step-by-step explanation:
because if you are rounding to the nearest integer that means that -23.514 would be -24 and -3.98 would be -4 and negative divided by a negative is a positive
Answer:
A
Step-by-step explanation:
Cumulative Exam 2021
Merry Christmas <3
P.S. Have a good winter break :)
given the segments as shown for what value of x is the figure a rectangle
A. 5.
B. 7
C. 3
D. 9
Answer:
[tex]x = 7[/tex]
Step-by-step explanation:
Required
Determine the value of x
The diagonals of a rectangle are equal.
So:
[tex]x + 5 + 2x -2 = 3x -9+4x - 16[/tex]
[tex]x + 2x + 5 - 2 = 3x +4x - 9 - 16[/tex]
[tex]3x + 3 = 7x -25[/tex]
Collect Like terms
[tex]3x-7x=-25-3[/tex]
[tex]-4x=-28[/tex]
[tex]x = \frac{-28}{-4}[/tex]
[tex]x = 7[/tex]
the height of 12 students
are as below &
159, 148, 138, 150, 165, 166, 145, 152 155 160 147, 151
the mean, the median and the mode
Answer:
Mean = 153
Median = 151.5
Mode = 159, 148, 138, 150, 165, 166, 145, 152, 155, 160, 147,
Step-by-step explanation:
Mean - add all numbers up (1820) then divide by 12
Median - put numbers in order, add two middle numbers and divide by 2
Mode - each number only came up once so they are all the mode
You are running a concession stand at a basketball game. You are selling hot dogs and
sodas.Each hot dog costs $1.50 and each soda costs $ 0.50. At the end of the night, you made a total of
$78.50. You sold a total of 87 hot dogs and sodas combined. You musſt report the number of hot dogs
sold and the number of sodas sold. How many hot dogs were sold and how many sodas were sold?
Answer: 52
Step-by-step explanation: Friend me and yes that is right!
if 50% is 10 what is 100%
Answer:
20
Step-by-step explanation:
You need to make 13 servings of fried fish. Each serving takes 7.5 ounces of flour. How many ounces of flour do you need?
Answer:
77,5
Step-by-step explanation:
13
. 75
_____
65
71
_____
77,5
A. (0,60)
B. (80,80)
C. (7,70)
D. (8,90)
Answer:
Most likely C
Step-by-step explanation:
where's is the other info. If no there info is provided then its most likely c because there's an obvious relationship. If I didn't help delete my answer thx.
Can someone help me find the perimeter of this
Answer:
Perimeter is 60.4 + 4x
Step-by-step explanation:
12.2 + 12.2 + 4(x+9)
= 24.4 + 4x + 36
= 60.4 + 4x
Answer:
2/5 • (151 + 10x )
Step-by-step explanation:
(This is going to be a long one so i apologize in advance)
First, you need to simplify the equation you're given for this particular shape by collecting terms and calculating the sums:
12.2 + x + 9 + x + 9 + 12.2 + x + 9 + x + 9
61/5 + x + 9 + x + 9 + 61/5 + x + 9 + x + 9
122/5 + 4x + 36
2/5 • (61 + 5 • 2x + 5 • 18)
2/5 • (61 + 10x + 90)
2/5 • (151 + 10x )