Answer:
x= 3, y=0, z= 1
Step-by-step explanation:
Let's label the 3 given equations first.
2x +3y +4z= 10 -----(1)
3x +2y -4z= 5 -----(2)
x +4y +2z= 5 -----(3)
(1) +(2):
This is to eliminate the z term.
2x +3y +4z +3x +2y -4z= 10 +5
5x +5y= 15
Divide by 5 on both sides:
x +y= 3 -----(4)
(3) ×2:
2x +8y +4z= 10 -----(5)
(2) +(5):
This is to eliminate z term.
3x +2y -4z + 2x +8y +4z= 5 +10
5x +10y= 15
Divide by 5 throughout.
x +2y= 3 -----(6)
(6) -(4):
x +2y -(x +y)= 3 -3
x +2y -x -y= 0
y= 0
subst. y=0 into (4):
x +0= 3
x= 3
subst. x=3, y=0 into (3):
3 +4(0) +2z= 5
3 +2z= 5
2z= 5 -3
2z= 2
z= 2÷2
z= 1
ecaluate 4 to the 3rd power
Answer: 64
Step-by-step explanation: 4 to the 3rd means 4 times itself three times.
So we have 4 · 4 · 4 which is 64.
Christina is packing different books into boxes. The paperback books weigh 0.8 pounds each. The hardcover books weigh 1.3 pounds each. Christina needs to pack the boxes so that there are at least 20 books in each box, but the boxes cannot weigh more than 30 pounds.
Identify Christina’s set of constraints.
Answer:
P + H ≥ 20
P*0.8 lb + H*1.3 lb ≤ 30lb
Step-by-step explanation:
Let's define H as the number of hardcover books.
Let's define P as the number of paperback books.
Now we have the restrictions:
"... so that there are at least 20 books in each box..."
Then:
P + H ≥ 20 (the total number of books per box is 20 or larger)
"...but the boxes cannot weigh more than 30 pounds."
P*0.8 lb + H*1.3 lb ≤ 30lb (the maximum weight that we can have in the box is 30 pounds)
Then the set of constraints is:
P + H ≥ 20
P*0.8 lb + H*1.3 lb ≤ 30lb
Notice that this system has a lot of possible solutions.
P = 20 and H = 0 is a solution
P = 21 and H = 0 is a solution.
P = 19 and H = 1 is a solution.
etc...
What is 3(x-2)=27 I need help fast
one of the displays at a botanical garden is a koi pond with a walk away around it. The figure who’s the dimensions of the pond and the walkaway?
a) area of pond
b) area of walkaway
What is the area of this shape????
20cm^2 assuming that each box is one cm
Select the decimal that is equivalent to
8
Choose 1 answer
A 0.767
B
0.767
С
0.875
D
0.875
E
None of the above
Answer:
NONE OF THE ABOVE (E).Step-by-step explanation:
8 is a whole number.
I dont really understand how to do this with three terms can someone please help?
Answer:
A. x(x + 7)²
Step-by-step explanation:
Step 1: Write out polynomial
x³ + 14x² + 49
Step 2: Factor out x
x(x² + 14x + 49)
Step 3: Factor out quadratic
x(x + 7)²
what is the distance between the two points shown on the graph?
Answer:
A- 19
Step-by-step explanation:
To find the distance between two points on a graph just count the number of points inbetween the two numbers. I hope my answer was helpfull and accurate. Have a lovely day!
Put the following fractions in order of size starting with the one with the least value 5/16 1/2 3/4 5/8 1/4
Answer:
1/4, 5/16, 1/2, 5/8, 3/4
Step-by-step explanation:
Answer:
1/2 1/4 3/4 5/8 5/16 this is the right answer s
Simplify 0.05x + 1.02x.
Answer:
107x-
-------
100
Step-by-step explanation:
solve the equation x-2/3=-3
Answer:
x= -7/3
Step-by-step explanation:
Answer:
- 2 1/3
Step-by-step explanation:
Step 1:
x - 2/3 = - 3
Step 2:
x = - 3 + 2/3
Answer:
x = - 2 1/3
Hope This Helps :)
The area of a square poster is 92 square inches. What is the length of one side of the poster to the nearest tenth.
Answer:
23 square inches
Step-by-step explanation:
92/4
HELP ASAP PLEASE HELPPPPPPP PLEASE
Answer:
5 times 3
Step-by-step explanation:
you do 5 time 3. it is 15
Please help, appreciated!
Answer:
-8
Step-by-step explanation:
-4 | 5+m|
Let m = -3
-4 | 5+-3|
Solve inside the absolute values first
-4 |2|
The absolute value of 2 is 2
-4 * 2
-8
Answer:
the value of the expression is -8
Step-by-step explanation:
-4|5+m|Substitute m = -3 in the expression -4|5+(-3)|-4|2|the absolute value of 2 is 2 so -4(2)-8A man (M) is standing halfway between a tree (T) and a lamppost (L). What is the value of x?
T
M
L
(2x + 8) m
(3x – 2) m
I don't understand what I have to do and how to get the answer is there anyway someone can tell me???
Answer :
The value of x is 10.
Explanation :
Given that,
TM = (2x+8) m
ML = (3x-2) m
If a man (M) is standing halfway between a tree (T) and a lamppost (L).
The half distance is TM and half distance is TL.
So, Both half distance will be equal.
We need to calculate the value of x
Using given data
[tex]TM=ML[/tex]
Put the value into the formula
[tex]2x+8=3x-2[/tex]
[tex]2x-3x=-8-2[/tex]
[tex]-x=-10[/tex]
[tex]x=10[/tex]
Hence, The value of x is 10.
1 1/3 divided by 3/5 and i wil name brainliest
Answer:
2 2/9
Step-by-step explanation:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
4/3÷3/5
Applying the fractions formula for division,
=4×5
3×3
=20/9
Simplifying 20/9, the answer is
=2 2/9
Answer:
[tex]\frac{20}{9}[/tex] or [tex]2\frac{2}{9}[/tex] or [tex]2\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]1\frac{1}{3} = \frac{4}{3}[/tex] and [tex]\frac{3}{5}[/tex]
to
[tex]\frac{4}{3}[/tex] divided by [tex]\frac{3}{5}[/tex]
↑
flip the second number
[tex]\frac{4}{3}[/tex] divided by [tex]\frac{5}{3}[/tex]
but instead of divison it becomes multiplication,
[tex]\frac{4}{3}[/tex] × [tex]\frac{5}{3}[/tex]
=
[tex]\frac{20}{9}[/tex]
Mixed number form is:
[tex]2\frac{2}{9}[/tex]
or
Simplify:
[tex]2\frac{1}{3}[/tex]
"10 less 2 times a number"
O 10r - 2
0 2r - 10
O 2 - 10
O 10 - 2r
10 - 2
the answer to the question is 2r-10
Answer:
"10 than 2 times a number" can also be written as 2r-10.
What is the direction and strength of the association between the variables?
weak negative
strong positive
strong negative
weak positive
Answer:
strong positive maybe
The direction and strength of the association between the variables is weak negative correlation. Therefore, option A is the correct answer.
The given coordinates are (0, 8), (12, 0), (2, 5), (10, 1), (9, 3), (5, 2), (6, 2) and (4, 0).
What is correlation and types?Correlation is a key statistical measure that describes the degree of association between two variables. There are three basic types of correlation: positive correlation: the two variables change in the same direction. negative correlation: the two variables change in opposite directions.
The coordinate points (0, 8), (12, 0), (2, 5), (10, 1), (9, 3), (5, 2), (6, 2) and (4, 0) are plotted in the graph below and it shows weak negative correlation.
The direction and strength of the association between the variables is weak negative correlation. Therefore, option A is the correct answer.
To learn more about the correlation visit:
https://brainly.com/question/6563788.
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Find the perimeter of a quarter circle that has a diameter of 7 feet.
Answer:
21.99ft
Step-by-step explanation:
Answer:
21.99ft
Step-by-step explanation:
21.991 feet
263.89 inches
21′ 11.89″ feet and inches
6.7029 meters
670.29 centimeters
If 5 n · 5 3 = 5 6 , then n is _____.
Answer:
n = 109/ 5 if the expression is 5n - 5.3 = 56
Fuji apples cost $3.00 per pound, and Golden Delicious apples cost $2.00 per pound. A childcare center purchases 30 pounds of a combination of the two types of apples for a total of $80. A table titled Apples showing Pounds, Cost per Pound and Total. The first row shows Fuji and has 30 minus g, 3, and x. The second row shows Golden Delicious, and has g, 2, and blank. The third row shows Total, and has 30, blank, 80. Which value could replace x in the table?
Answer:
3(30 - g)
Step-by-step explanation:
# of pounds of Fuji apples = (30 - g)
Cost per pound of Fuji apples = $3 per pound
Total cost of (30 - g) pounds of Fuji apples = 3 * (30 - g)
= 3(30 - g)
Answer:
B. 3(30-g)
Step-by-step explanation:
Got it correct on edg2020
–11 + |–19| Please help me!
Answer:8
-11+19 (absolute value)
Add the opposite
19-11=8
Keep the sign of the greater absolute value in this case the greater value is ninteen but it can be the negitive.
So your answer is eight (8)
Step-by-step explanation: see above
If noah eats 1/3 of an apple in 1/6 mintues how much willi it take to eat a full apple.
Answer:
30 Minutes
Step-by-step explanation:
1/6 = 10 minutes
so if he eats a third every ten minutes then it will take him 30 minutes
what is 99/100 written as a decimal
Answer: 0.99
Step-by-step explanation:
Answer:
.99
Step-by-step explanation:
99/100 = .99
Hopefully this helps you
pls mark brainlest
10+x=19 need your help
Answer:
9
Step-by-step explanation:
10+x=19
move 10 over the =
x =19-10
x=9
Hey there!
ANSWER: [tex]x=9[/tex]EXPLANATION:[tex]10+x=19[/tex]
To solve, you can just do 19 - 10.
[tex]19-10=9[/tex]
Now let's complete x.
[tex]10+x(9)=19\\10+9=19\\x=9(ANSWER)[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
i need help with this duhhh
Answer:
Step-by-step explanation:
4. (6^10)^-7 is when the exponents should be multiplied
answer is B
5. (7^3)^-2 = (7^-6)
1/7^6 = 1/(7x7x7x7x7x7)
answer is A
2. 11^-4/11^8= 1/11^(8+4) = 1/11^12
answer is A
3. (2^5/3^2)^4= 2^20/3^8
answer is A
Answer:
the answer is what the other person said lol
Step-by-step explanation:
Write the polynomial in standard form. Identify the degree and leading coefficient of the polynomial.
Then classify the polynomial by the number of terms.
4w11 - w12
standard form
degree
leading coefficient
Answer:
Standard Form:-w^12+4w^11
Degree: 12 degree
Leading Coefficient: -1
Step-by-step explanation:
Standard Form: Order the exponents from greatest to least.
Degree: The largest exponent is the degree; the exponent in the first term, IF it is in standard form.
Leading Coefficient: The coefficient of the first term in standard form. There is and understood 1 before the w in the first term.
The required answers are given below,
Standard Form:-w¹²+4w¹¹
Degree: 12 degree
Leading Coefficient: -1
What are polynomials?A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.
Standard Form: Order the exponents from greatest to least. The largest exponent is the degree; the exponent in the first term, IF it is in standard form.
Leading Coefficient: The coefficient of the first term in standard form. There is an understood 1 before the w in the first term.
The answers are given as below,
Standard Form:-w¹²+4w¹¹
Degree: 12 degree
Leading Coefficient: -1
To know more about polynomials follow
https://brainly.com/question/2833285
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I need help at answer this
Which number is closest to the square root of 71 ?
Answer:8.4 or 8 depends on the rounding
Step-by-step explanation:
Answer: Its 8 and 9!
Step-by-step explanation:
How can you tell the difference between the
constants and the coefficients in a word
problem?
Answer:
Step-by-step explanation:
A coefficent is the number in front of the letter and a constant is just a number