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xxMikexx [17]
3 years ago
6

Solve the system using the elimination method.

Mathematics
1 answer:
Sloan [31]3 years ago
8 0

Answer:

x=151/64   y=9/8 z=-51/32

Step-by-step explanation:

2x+2y+5z- (2x-y+z)=-1-2

3y+4z=-3

2x+2y+5z- (2x+4y-3z)=-1-14

-2y+8z=-15

We have two equations 3y+4z=-3 and -2y+8z=-15 (We get it due to elimination method)

3y+4z=-3 (2)

-2y+8z=-15 (-3)

6y+8z=-6

6y-24z=45

(6y+8z)- (6y-24z)= -6-45

32z=-51

z=-51/32

3y-204/32=-3

3y= -96/32+204/32

3y=108/32

y=36/32=9/8

2x+2*9/8+5*(-51/32)=-1

2x+9/4-255/32=-1

2x+72/32-255/32=-1

2x-183/32=-32/32

2x=151/32

x=151/64

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PLEASE PLEASE HELP PLEASE
kogti [31]

Answer:

r = 6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

PR² = PQ² + QR² , substitute values

(r + 4)² = r² + 8²

r² + 8r + 16 = r² + 64 ( subtract r² from both sides )

8r + 16 = 64 ( subtract 16 from both sides )

8r = 48 ( divide both sides by 8 )

r = 6

3 0
2 years ago
What are two decimals whose product is close to 10?
PtichkaEL [24]

Answer:

10.00022
10.0011

Step-by-step explanation:

2.14  and  4.673

2.14  x  4.673  =  10.00022

2.55  and  3.922

2.55  x  3.922  =  10.0011

4 0
2 years ago
on patrick's test he got 14 multiple choice questions and 6 true or false questions correct. patrick also got 1 multiple choice
solniwko [45]
So first add the multiple choice together to get 15 and the true/false together to get 10. Then add those together to get 25. Since there was 15 multiple choice, divide 15 by 25 to get 3/5. This is .8 in decimal form and to convert it to a percent multiply it by 100 to get 80%. Hope this helps!
8 0
3 years ago
Cesar is getting balloons for his mother's birthday party. He wants each balloon string to be 12 feet long. At the party store s
sasho [114]

Answer:

<em>188 yards </em>

Step-by-step explanation:

Given

Length of one balloon = 12 feet

Since 1 foot = 1/3 yards

12 feet = x

Cross multiply

1 * x = 1/3 * 12

x = 12/3

x = 4 yards

Hence one balloon will be 4 yards long.

If one balloon = 4 yards long

47 balloons = y

Cross multiply;

1 * y = 4 * 47

<em>y = 188yards</em>

<em>Therefore Cesar will need 188 yards of string for 47 ballooons</em>

<em></em>

5 0
3 years ago
Calculate the answer to the appropriate number of significant figures. (do not convert to scientific notation) 6.47 x 64.5
telo118 [61]

Answer:

6.47 \times 64.5 \\  = 417.315

4 0
3 years ago
Read 2 more answers
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