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Nikolay [14]
3 years ago
14

Ryan decided to solve the system by substituting, but when she finished, she was left with 54=45. What does this means for the s

olution to the problem?
Mathematics
1 answer:
yuradex [85]3 years ago
5 0

Answer:

9

Step-by-step explanation:

You might be interested in
Given that (x+y+z)(xy+xz+yz)=18 and that x^2(y+z)+y^2(x+z)+z^2(x+y)=6 for real numbers x, y, and z, what is the value of xyz?
worty [1.4K]

Answer:

4

Step-by-step explanation:

(x+y+z)(xy+xz+yz)=18 Equation 1

x^2(y+z)+y^2(x+z)+z^2(x+y)=6 Equation 2

What is the value of xyz where each variable represents a real number?

Let's expand equation 1:

(x+y+z)(xy+xz+yz)=18

x(xy)+x(xz)+x(yz)+y(xy)+y(xz)+y(yz)+z(xy)+z(xz)+z(yz)=18

Simplify each term if can:

x^2y+x^2z+xyz+y^2x+xyz+y^2z+xyz+z^2x+z^2y=18

See if we can factor a little to get some of the left hand side of equation 2:

The first two terms have x^2 and if I factored x^2 from first two terms I would have x^2(y+z) which is the first term of left hand side of equation 2.

So let's see what happens if we gather the terms together that have the same variable squared together.

x^2y+x^2z+y^2x+y^2z+z^2y+z^2x+xyz+xyz+xyz=18

Factor the variable squared terms out of each binomial pairing:

x^2(y+z)+y^2(x+z)+z^2(y+x)+xyz+xyz+xyz=18

Replace the sum of those first three terms with what it equals which is 6 from the equation 2:

6+xyz+xyz+xyz=18

Combine like terms:

6+3xyz=18

Subtract 6 on both sides:

3xyz=12

Divide both sides by 3:

xyz=4

4 0
3 years ago
box A has 4 marbles.box A has 5% of the marbles.what is the total amount of marbles in all four boxes
laila [671]
Box A is 4. 4 is 5% of the total boxes.
5% = 1/20, so multiply whatever number that's 5% of the total by 20 to get the total.
4 x 20 = 80.
There are 80 marbles total.
Hope this helps!
8 0
4 years ago
Read 2 more answers
Can somebody help me with this question !​
Pavlova-9 [17]

Answer:

No please! Mr excuse me I am not your type bye

3 0
3 years ago
Grace is an hourly employee, and the line that models her total pay in dollars
tresset_1 [31]

Answer: Hello mate!

if x is the amount of hours worked, 45 is the slope and the y intercept is 35.

A linear equation has the form of y = ax + b, where a is the slope and b is the y-intercept, then the equation that we have is:

y = 45*x + 35

this means that she wins $45 per hour, and has a plane amount of $35, indiferent of the amount of hours worked.

Then the correct answer is

C) Grace's wage is $45 an hour, and it appears that she received a  signing bonus of $35.

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3 years ago
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Witch of the following is the equal to 4 kilograms
likoan [24]
"the following" of what?  I think you are missing the list
3 0
3 years ago
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