Answer:
{x,y,z}={5,−3,3}
Step-by-step explanation:
[1] 2x + 4y + z = 1
[2] x - 2y - 3z = 2
[3] x + y - z = -1
// Solve equation [3] for the variable y
[3] y = -x + z - 1
// Plug this in for variable y in equation [1]
[1] 2x + 4•(-x +z -1) + z = 1
[1] -2x + 5z = 5
// Plug this in for variable y in equation [2]
[2] x - 2•(-x +z -1) - 3z = 2
[2] 3x - 5z = 0
// Solve equation [2] for the variable x
[2] 3x = 5z
[2] x = 5z/3
// Plug this in for variable x in equation [1]
[1] -2•(5z/3) + 5z = 5
[1] 5z/3 = 5
[1] 5z = 15
// Solve equation [1] for the variable z
[1] 5z = 15
[1] z = 3
// By now we know this much :
x = 5z/3
y = -x+z-1
z = 3
// Use the z value to solve for x
x = (5/3)(3) = 5
// Use the x and z values to solve for y
y = -(5)+(3)-1 = -3
Solution :
{x,y,z} = {5,-3,3}
A fruit company includes 1.655 ounces of pineapple juice in a 6.75 ounce bottle of a mixed fruit juice. How much of the bottle of mixed fruit juice is NOT pineapple juice?
Find the common ratio of the geometric sequence 18,-90,450,...
Answer:
try looking it up on socratic
Answer:
-5
Step-by-step explanation:
The common ratio is what you have to multiply one term by to get the next term.
so:
[tex]18 \times r = -90\\-90 \times r = 450[/tex]
where r is the common ratio
We can solve these equations:
-90 / 18 = -5
450/-90 = -5
therefore the common ratio is -5
Help please 6th grade math
Answer:
Step-by-step explanation:
The slope is the distance between x and y. I am not quite sure how to do this question without the view of the whole problem. :(
3x + 8
What is it please
Answer:
11x
Step-by-step explanation:
Add the 3 and 8 togeter, you will get 11 then the x at the and of you're solution.
there are 65 children in the sixth grade. there are 15 more boys than girls. what is the ratio of boys to girls
A gym was advertised to cost $23 a month with a one-time fee of $74. If the total
bill was $373, how many months was paid for? *
Your answer
Answer:
Step-by-step explanation:
$373 - $74 = $299
299 divided by 23 = 13
13 months (?)
Write -0.744 as a fraction in lowest term
Answer:
- 93/125
Step-by-step explanation:
Answer:
-93/125 is the answer
Find two numbers if their ratio is 9:11 and their difference is 6
Answer:
27 , 33
Step-by-step explanation:
Let the numbers be 9x & 11x
so
11x-9x=6
2x=6
x=3
First number is =9x=9*3=27
Second number is =11x=11*3=33
plz mark as brainliest if it helps
Answer:
27 and 33
Step-by-step explanation:
Here I would set up a system of equations:
1. I make the proportion 9/11=x/y and this cross-multiplies into 9y=11x
2. I use the other part of the problem to make my second equation, and since y is greater than x (assumed by looking at first step) this second equation is y-x=6
3. now, I will use substitution, if y-x=6, then y=x+6, so 9(x+6)=11x
4. simplify, 9x+54=11x
5. solve, 2x=54, x=27, y=x+6=33
A climber started at 2,580 feet above sea level. He climbed up 348 feet, down a valley 452 feet, and up 108 feet. What is his new elevation?
Answer:
2,584
Step-by-step explanation:
You just add or subtract the numbers if hes going up or down.
If
3y + 1
2
= 5,
4x
3
= 8
and
z
3
+
z
4
= 2
A. y > x B. x = y C. y > z D. x > z
Step-by-step explanation:
hey, write the question properly...
If the equation are 3y + 12= 5,4x - 3= 8 and z³ + z⁴ = 2, then x = y
Let's start by solving each equation one by one to find the values of the variables.
Equation 1: 3y + 12 = 5
Subtracting 12 from both sides:
3y = 5 - 12
3y = -7
Dividing both sides by 3:
y = -7/3
Equation 2: 4x - 3 = 8
Adding 3 to both sides:
4x = 8 + 3
4x = 11
Dividing both sides by 4:
x = 11/4
Equation 3: z³ + z⁴
This equation is a bit more complex, and it seems challenging to find the exact values of z. However, we can deduce some information about the relationship between z³ and z⁴ by examining the equation. Since both terms are positive, the sum of z³ and z⁴ can never be negative. Therefore, the only possible solution is when both z³ and z⁴ are less than 2.
Now, let's compare the values of y, x, and z:
y = -7/3 ≈ -2.33
x = 11/4 ≈ 2.75
z³ + z⁴ < 2 (as explained above)
Based on these values, we can determine the relationship between the variables:
A. y > x
B. x = y
C. y > z
D. x > z
The correct answer is: B. x = y
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. A recipe calls for 32 ounces of pasta to be used. How many pounds of pasta is that if 1 ounce equals about 0.06 pounds?
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If 1 ounce is equal to 0.06 pounds then 32 ounces of pasta is equivalent to 1.92 pounds of pasta.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, A recipe calls for 32 ounces of pasta to be used.
Also given that 1 ounce is equal to 0.06 pounds.
Therefore, To convert the amount of pasta to pounds from ounces we have multiply the unit rate which is (32×0.06).
= 1.92 pounds.
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please help me asap (picture is included) (:
Answer:
d
Step-by-step explanation:
1/2 x + 4 = 15
x = 22
x= 38
x = 5.5
x = -22
Answer:
x=22
Step-by-step explanation:
To find the x value, you need to use reverse PEMDAS (or GEMDAS as I've seen some people call it)
First, you subtract 4 from both sides of the equation. This should give you:
1/2x=11
Then, you divide 1/2 on each side. Although it's easier to multiply 2 on each side instead. This will give you.
x=22
Is (4, 3) a solution to x + y = 7
Answer:
Yes
Step-by-step explanation:
(x, y)
(4, 3)
x = 4
y = 3
Therefore
4 + 3 = 7
Newton's first law of motion applies only to objects that are already moving.
O True
O False
Answer:
false
Step-by-step explanation:
What is the value of the expression below when w=3? 5w2 -5w-8
Expressions are mathematical statements without the equal sign
The value of 5w^2 - 5w - 8 when x = 3 is 22
How to determine the value of the expressionThe expression is given as:
5w^2 - 5w - 8
When the value of w is 3, the expression becomes
[tex]5w^2 - 5w - 8 = 5*3^2 - 5*3 - 8[/tex]
Evaluate the exponents
[tex]5w^2 - 5w - 8 = 5*9 - 5*3 - 8[/tex]
Evaluate the products
[tex]5w^2 - 5w - 8 = 45- 15 - 8[/tex]
Evaluate the differences
[tex]5w^2 - 5w - 8 = 22[/tex]
Hence, the value of 5w^2 - 5w - 8 when x = 3 is 22
Read more about expressions at:
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What is the image point of (-2, -3) after a translation right 2 units and up 4 units?
Answer:
The Answer is (0, 1)
Step-by-step explanation:
add 2 and 4 to the x and y
Answer:
(0, 1)
Step-by-step explanation:
2 units right -> -2 + 2 = 0
4 units up -> -3 + 4 = 1
WILL GIVE BRAINLIEST!! What is the y-intercept of a line that has a slope of 3 and passes through point (4, 8)?
Answer:
-4
Step-by-step explanation:
If we set up the equation with the known info, we get y=3x+b
We can then use the ordered pair to plug in, so 8=12+b
Now, simply solve for B, and you get -4
an ablum recieve an award when it sells 10,000,000 copies. An ablum has sold 7,680,000 copies. How many more copies does it need to sell to recieve the award
Answer:
2,320,000
Step-by-step explanation:
10,000,000
-
7,680,000
__________
2,320,000
Answer:
2,320,000
Step-by-step explanation:
You have to subtract the 10,000,000 by the amount that has already been sold in order to find out the difference on how many copies are left in order to receive an award.
10,000,000 - 7,680,000 = 2,320,000
Helpp me PlzzzzzZZzz
Answer: B. Distributive Property
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Distributive Property
PLEASE HELP WILL GIVE BRAINLIEST 15 POINTS!!!!
I AM ACTUALLY IN MIDDLE SCHOOL I NEEDS HELP!!
Frances has $24.06 in her checking account. She writes a check for $32.16. The ban imposes a $15 penalty because she has overdrawn her account. How much money is in her account now? Write and simplify a numerical expression.
Answer: -$23.10 dollars in Frances bank account.
Step-by-step explanation:
Answer:
--$23.10
This is the answer, I double checked.
NOBODYS HELPING ME ANSWER THIS AND I NEED AN ANSWER ASAP :((( IVE ASKED 2 TIMES ANYWAYS ILL GIVE BRAINLIEST AND 15+
ITS 2 QUESTIONS SEPERATE PLEASE PUT IT AS THIS
QUESTION 1-
______________
QUESTION 2-
______________ m
Answer:
1) 2/3
2) y= 2x+4
Step-by-step explanation:
For number one, use the formula [tex]\frac{(y_{2}-y_{1} ) }{(x_{2}-x_{1} ) }[/tex].
Insert the given coordinates into the formula.
7-1/10-1= 6/9
Simplify 6/9.
6/9÷3= 2/3
For the second one, I used desmos calculator.
Hope this helps! :)
karinne hit 4 more home runs than 1/2 the number of home runs Lu hit. Together they hit 10 home runs. Let X represent the number of home runs Lu hit. Write an equation to represent the situation
It is given that Lu hit x numbers of home run.
So, number of home run hit by Karinne is more home runs than 1/2 the number of home runs Lu hit.
So, number of home run Karinne hit is :
[tex]y = 4 + 0.5x[/tex]
Also,
[tex]x + y = 10[/tex]
Solving above two equation, we get :
x + ( 4 + 0.5x ) = 10
1.5x + 4 = 10
1.5x = 6
x = 4
Therefore, number of home run hit by Lu is 4.
Hence, this is the required solution.
Creating a mathematical expression using the scenario described, the expression which represents the total number of home runs is 1.5x + 4 = 10
Total Number of home runs :
(1/2)x + 4 + x = 10
1.5x + 4 = 10
1.5x = 10 - 4
1.5x = 6
x = 6/1.5
x = 4
Therefore, the equation which represents the situation is 1.5x + 4 = 10
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1/3 + 5 3/4 pls I rlly need help
Answer:
6 1/12
Step-by-step explanation:
Make 1/3 and 3/4 have the same denominator.
1/3 times 4/4 is 4/12
3/4 times 3/3 is 9/12
4/12 + 9/12 = 13/12 = 1 1/12
1 1/12 +5 = 6 1/12
6.08333333333333333333333333333333333333333333
Select all the true statements
Answer:
option no (C) is correct
Step-by-step explanation:
how do you right
0.125 as a whole number
Step-by-step explanation:
divide 1 by 0.1 to 5 and this will tell you what you need to multiply it by in order to make 0.125
1/0.125=8
thus : 8 *0.125 =1
Can someone help me plz
Answer:
make it so that the top side is 40 and make the sides 35
Step-by-step explanation:
5x = 45
O Commutative Property
O Associative Property
O
Distributive Property
Subtraction Property of Equality
O
Division Property of Equality
What is equivalent to 64^(1/2)
Exponential Functions Algebra 1
[tex]64^{\frac{1}{2}}=\sqrt{64}=\sqrt{8^2}=8[/tex].
Hope this helps.
Answer:8
Step-by-step explanation: first you have to see what the base number is in this case the base number is 64 so you see that it 64 and then you you divide 1 by 2 then you divide or you can just put it into the calculator
What is the solution for the equation 6x − 8 = 4x? x = . (Input whole number only). (5 points) Blank 1:
Answer:
4
Step-by-step explanation:
Step 1:
6x - 8 = 4x Equation
Step 2:
6x = 4x + 8 Add 8 on both sides
Step 3:
2x = 8 Subtract 4x on both sides
Step 4:
x = 8 ÷ 2 Divide
Answer:
x = 4
Hope This Helps :)