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ziro4ka [17]
3 years ago
5

Solve each system using elimination.

Mathematics
2 answers:
tia_tia [17]3 years ago
8 0
Add those equations together
<span>1.  4x = 16, x = 4

2. Multiple the second one by 2
2x+4y=22
4x-4y=-16
6x = 6, x = 1

3. Add them together
8x = 24, x = 3
</span>
Marat540 [252]3 years ago
6 0
In 2, we are asked to solve the systems of equations to solve for the variables using elimination. 
 3x + 3y = 27-3(x - 3y = -11)      12 y  = 60        y = 5        x = 4
 2x + 4y = 22 2x - 2y = -8     6y  = 30     y   = 5     x   = 1
  5x - y = 0  3x  + y = 24  8x    =  24   x = 3   y = 15
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Sophia uses 18 beads to make a necklace. Three sixths of the beads are purple. How many beads are purple?
tatuchka [14]

Answer:

9 beads are purple

Step-by-step explanation:

we know that

To find out how many  beads are purple, multiply the total beads by the fraction of the beads that are purple

so

18(\frac{3}{6})=9\ beads

therefore

9 beads are purple

Another way to solve the problem is convert the fraction in percentage

we have

\frac{3}{6}=\frac{1}{2}=0.50*100=50\%

so

If the total are 18 beads

50% is 9 beads

therefore

9 beads are purple

4 0
4 years ago
What is the value of the digit 8 of 803,004,913,256
jarptica [38.1K]
One hundred billion.
3 0
3 years ago
Read 2 more answers
Can someone help me with this?
igor_vitrenko [27]

Answer:

a) BD = 5

b) FD = 13

Step-by-step explanation:

For both questions we follow pythagoras therom.

For the first one we do 3^2 +4^2 = 25 and then we root this answer to 5

For the second we have to find the base of  GD in order to find FD. GD will be 4^2+12^2 which equals to 160 and then you root.

Finally, we can find FD which is sqaure root of 160^2 + 3^2 = 169. The square root of 169 is 13. Answer is 13.

4 0
3 years ago
Read 2 more answers
If<br> 4²+3²/4²−3² =7/4<br> , find the value of<br> 24−11⁴/24+11⁴
svetoff [14.1K]

Solve using PEMDAS for the numerator and denominator.

24-11^4/24+11^4

24-14641/24+14641

-14617/14665

Best of Luck!

4 0
3 years ago
In a group of 28 students, 12 study both Art and Biology.
MAVERICK [17]

Answer:

100%

Step-by-step explanation:

Use conditional probability:

P(B | A) = P(B and A) / P(A)

P(B | A) = (12/28) / P(A)

We need to find the probability that a student studies art.

P(A or B) = P(A) + P(B) − P(A and B)

24/28 = P(A) + (12+12)/28 − 12/28

P(A) = 12/28

P(B | A) = (12/28) / (12/28)

P(B | A) = 1

What this means is that all of the students who study art also study biology.

3 0
3 years ago
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