MATHEMATICS HIGH SCHOOL

Identify the solutions of the system of equations, if any
x+5y=6
6x-10y=12

Answers

Answer 1
Answer: \left \{ {{x+5y=6} \ \ |2\atop {6x-10y=12}} \right. \n\n\n \left \{ {{2x+10y=12} \atop {6x-10y=12}} \right. \n ======== \n\n 8x=24 \ \ \ |:8 \n\n \boxed{x=3} \n\n x+5y=6 \n\n 5y=6-x \n\n y=(6-x)/(5) \n\n y=(6-3)/(5) \n\n \boxed{y=(3)/(5)}
Answer 2
Answer: so assuming x and y remain constant, we can make one of the place holders negative and add the equations together to cancel each other out so

we can cancel out the y terms since 5 is close to 10
(x+5y=6) times 2=2x+10y=12
add this to 6x-10y=12
2x+6x+10y-10y=12+12
8x=24
divide both sides by 8
x=3
subsitute into first equation
x+5y=6
3+5y=6
5y=3
y=3/5
x=3

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Given: △ABC, m∠B=90° AB=12, BC=16, BK ⊥ AC . Find: AC and BK. DESPERATE! Please help! I know that AC is 20 if that helps. I have NO idea how to find BK. I will be so thankful for any help you can give. If you get the right answer I'll give max points and BRAINLIEST!!!! Thank you so much :)

Answers

hey there!

I think i might be able to help.

AC:20, BK:9.6

try it out!
i think so. it 6.63

CAN SOMEONE PLEASE HELP ME WITH THESE PLSSS!!

Answers

Answer:

e= 2

W= 15

m= 9

Step-by-step explanation:

for e: yout multiply 5 x 7 to get 35 so 2 x 7 = 14

for W: 20/10 = 2 so divide 30/2 to get 15

for m: 11 x 2 = 22 so do 18 divided 2 to get 9

Answer:

E = 2

W = 15

M = 9

Step-by-step explanation:

You just have to make the denominator / numerator the same.

(E)/(5) = (14)/(35)

Multiply the first fraction by 7 so that their denominators are both 35.

(7E)/(35) = (14)/(35)

7E = 14

E = 14 ÷ 7

E = 2

(20)/(30) = (10)/(W)

Multiply the second fraction by 2 so that their numerators are both 20.

(20)/(30) = (20)/(2W)

2W = 30

W = 30 ÷ 2

W = 15

(M)/(11) = (18)/(22)

Multiply the first fraction by 2 so that their denominators are both 22.

(2M)/(22) = (18)/(22)

2M = 18

M = 18 ÷ 2

M = 9

What is the quotient (125 – 8x3) ÷ (25 + 10x + 4x2)?–2x + 5
2x – 5
–2x – 5
2x + 5

Answers

For this case we have the following expression:

(125-8x^3)/(25+10x+4x^2)

Factoring the numerator we have:

(-(2x+5)(4x^2+10x+25))/(25+10x+4x^2)

Rewriting the denominator we have:

(-(2x+5)(4x^2+10x+25))/(4x^2+10x+25)

Canceling similar terms we have:

-(2x+5)

-2x-5

Answer:

The quotient of the division is given by:

-2x-5
If you would like to solve (125 - 8x^3) / (25 + 10x + 4x^2), you can do this using the following steps:

(125 - 8x^3) / (25 + 10x + 4x^2) = - ((2x - 5) * (4x^2 + 10x + 25)) / (4x^2 + 10x + 25) = - (2x - 5) = - 2x + 5

The correct result would be - 2x + 5.

If the cells continue to double every 5 minutes, how long will it take to fill 3 additional bottles of the same size? minutes

Answers

Answer: 10 minutes.


Step-by-step explanation: Since the cells get double in every 5 minutes, so the number of bottles that will be filled in 5 minutes= 2. After another 5 minutes, these 2 bottles of cells will fill another two bottles. Now, out of these 4 bottles, one is old which was already filled with cells. So, no. of new bottles filled=3 in 10 minutes.

So, it will take 10 minutes to fill another 3 bottles of the same size.

The answer is 10 minutes

Ninety students auditioned for the school play. One-third of those who auditioned were cast, 6 in major roles. What fraction of those who were cast got major roles?

Answers

Answer:

Step-by-step explanation:

0.2

Total number of students: 90

Total number of students who were cast: 1/3 x x 90 = 30

Number of students who got a major role: 6

Fraction of students who got a major role: 6/30

Fraction of students who got a major role: 1/5

1/5 as a decimal is 0.2

So in conclusion, the fraction of students who were cast and got major roles is 1/5 and the answer as a decimal is 0.2!

HELP ITS DUE IN 15 mins!!!!! and i need help:(

Answers

Answer: Fred's Slope

Step-by-step explanation:

Comparing the slope were are looking at the numerator or y of the slope to find which one takes you the highest compared to the others.

Start with Sam who has a slope of 2/11 or rise 2 run 11 which is pretty flat so sam is out

Fred and Anne both have a slope that is a whole number so we're lloking for the bigger number which would be Fred

Anne's slope is 4.75

sams slope is 2/11

and fred’s is 5
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