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Natali5045456 [20]
3 years ago
14

To make the perfect shoe shade of green paint, Tyler mixes 14 ounces of yellow paint with 10 ounces of blue paint. How many ounc

es of yellow paint are there per ounce of blue paint?
Mathematics
2 answers:
tatuchka [14]3 years ago
8 0
14 ounces to 10 ounces
dimaraw [331]3 years ago
7 0
14:10 as a ratio.. Hope this helps
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Solve the following 3 × 3 system. Enter the coordinates of the solution below.
love history [14]
The system is:

i)    <span>2x – 3y – 2z = 4
ii)    </span><span>x + 3y + 2z = –7
</span>iii)   <span>–4x – 4y – 2z = 10 

the last equation can be simplified, by dividing by -2, 

thus we have:

</span>i)    2x – 3y – 2z = 4
ii)    x + 3y + 2z = –7
iii)   2x +2y +z = -5 


The procedure to solve the system is as follows:

first use any pairs of 2 equations (for example i and ii, i and iii) and equalize them by using one of the variables:

i)    2x – 3y – 2z = 4   
iii)   2x +2y +z = -5 

2x can be written as 3y+2z+4 from the first equation, and -2y-z-5 from the third equation.

Equalize:  

3y+2z+4=-2y-z-5, group common terms:
5y+3z=-9   

similarly, using i and ii, eliminate x:

i)    2x – 3y – 2z = 4
ii)    x + 3y + 2z = –7

multiply the second equation by 2:


i)    2x – 3y – 2z = 4
ii)    2x + 6y + 4z = –14

thus 2x=3y+2z+4 from i and 2x=-6y-4z-14 from ii:

3y+2z+4=-6y-4z-14
9y+6z=-18

So we get 2 equations with variables y and z:

a)   5y+3z=-9 
b)   9y+6z=-18

now the aim of the method is clear: We eliminate one of the variables, creating a system of 2 linear equations with 2 variables, which we can solve by any of the standard methods.

Let's use elimination method, multiply the equation a by -2:

a)   -10y-6z=18 
b)   9y+6z=-18
------------------------    add the equations:

-10y+9y-6z+6z=18-18
-y=0
y=0,

thus :
9y+6z=-18 
0+6z=-18
z=-3

Finally to find x, use any of the equations i, ii or iii:

<span>2x – 3y – 2z = 4 
</span>
<span>2x – 3*0 – 2(-3) = 4

2x+6=4

2x=-2

x=-1

Solution: (x, y, z) = (-1, 0, -3 ) 


Remark: it is always a good attitude to check the answer, because often calculations mistakes can be made:

check by substituting x=-1, y=0, z=-3 in each of the 3 equations and see that for these numbers the equalities hold.</span>
3 0
3 years ago
Read 2 more answers
Compare the triangles and determine whether they can be proven congruent by SSS, SAS, ASA, AAS, or HL. If not, type "NONE".
Komok [63]

Answer:

SAS

Step-by-step explanation:

6 0
3 years ago
Solve the inequality and graph its solution: 6n – 11 &gt; 31
miss Akunina [59]
<span>6n – 11 > 31
</span><span>6n  > 31 + 11
</span>6n  > 42
  n > 42/6
  n > 7
5 0
3 years ago
Please help i can not figure it out
Alisiya [41]
To solve this problem you need to figure out the volume of the sipping container, and the volume of the tissue box. 
39*19.5*19.5=14,829.75
6.5*6.5*6.5=274.63

In order to figure out how many fits you need to divide
14,829.75/274.63=53.99

The maximum number that you can fit is the box is 53.

Hope this helps
4 0
3 years ago
Which points are on the graph of f(x)=(1/3)^x?
frutty [35]

Answer:

(0,1)

Step-by-step explanation:

4 0
3 years ago
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