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melisa1 [442]
3 years ago
12

Solve each equation by either substitution or addition method.

Mathematics
1 answer:
irina [24]3 years ago
6 0

Answer: (2,2), (4,2)

First, I subtracted 2y from both sides of the second equation. Then, I substituted -2y+6 in for x in the first equation (-2y+6)²+4y²=20. Then, I expanded 4y²-24y+16+4y²=20. Next, I combined like terms, and moved everything to one side 8y²-24y+16=0. Then, I factored out an 8, and then finished factoring 8(y-2)(y-1). This gives me my y-values, y=1,2. Next, I inserted each y-value into the second equation and got x=-2(1)+6 ---> x=4 (The first solution is (4,1). ) and x=-2(2)+6----->x=2 (The second solution is (2,2).

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Classify the following angle. 28. I WILL GIVE BRANLIEST!!!!!! RATE AND VOTE!!!!HELPP
Kaylis [27]

Answer:

reflex angle

Step-by-step explanation:

Acute is less than 90

Right = 90

Obtuse is greater than 90 and less than 180

Straight is 180

Reflex is greater than 180 and less than 360

This is greater than 90 and less than 180 so it is a reflex angle

3 0
3 years ago
What is the range for this set of data? 7, 15, 12<br>A. 3<br>B. 5<br>C. 8<br>D. 12​
UNO [17]

Answer:

8 is your answer

Step-by-step explanation:

Hope this helps sorry if I'm wrong

7 0
3 years ago
Read 2 more answers
At a carnival, 700 tickets were sold for a total
Diano4ka-milaya [45]

Answer:

The adult tickets are <u>400</u> and the children tickets are <u>300</u>.

Step-by-step explanation:

Given:

At a carnival, 700 tickets were sold for a total  amount of $5500. An adult ticket cost $10   and a children's ticket cost $5.

Now, to find the  number of adult tickets and the number of  children's tickets sold.

<em>Let the number of adult tickets be </em>x.<em />

<em>And let the number of children tickets be </em>y.<em />

So, the total number of tickets sold:

x+y=700\\\\y=700-x\ \ \ ....(1)

Now, the total amount of tickets:

x(10)+y(5)=5500

Substituting the value of y from equation (1):

x(10)+(700-x)(5)=5500\\\\10x+3500-5x=5500\\\\5x+3500=5500

<em>Subtracting both sides by 3500 we get:</em>

<em />5x=2000<em />

<em>Dividing boths sides by 5 we get:</em>

x=400.<u />

<u>The number of adult tickets = 400.</u>

Now, substituting the value of x in equation (1) we get:

y=700-x\\\\y=700-400\\\\y=300.

<u>The number of children tickets = 300.</u>

Therefore, the adult tickets are 400 and the children tickets are 300.

8 0
3 years ago
I'm saving up for Ariana Grande meet &amp; greet tickets (which are like $1000 lol)
mr_godi [17]

Answer:

Maybe make a  Y_O_U_T_U_B_E channel

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Ms. Pacheco, Mr Edwards, and Mr Richards are three math teachers at turner middle school. Ms. Pacheco is three years older than
zubka84 [21]
Mr edwards = Mr r x 2
Mr r = Mr p - 3 = Mr e ÷ 2.                       Mr p = 30
Mr e + Mr r = 81.                                       Mr e = 54
Mr p = Mr r + 3.                                         Mr r = 27

Mr Edwards = 2(Mr p - 3)
Mr e = 2(mr p) - 6

Mr r = [2(Mr p) -6] ÷ 2
Mr r = [2( Mr r + 3) - 6] ÷ 2

2(Mr r) + (Mr p - 3) = 81
2(Mr p -3) + (Mr p - 3) = 81
3(Mr p - 3) = 81 
3(Mr p) - 9 = 81.                               Hope this helps!!!
3(Mr p) + 9 = 81 + 9
3(Mr p) = 90
Mr p = 90 ÷ 3
Mr p = 30


5 0
3 years ago
Read 2 more answers
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