MATHEMATICS MIDDLE SCHOOL

Solve these system of linear equations:5x-y=10}
4x-2y=20}

AND:

3x+4y=12}
2x-y=-10}

WITH STEPS PLEASE!!!!!

Answers

Answer 1
Answer: 5x-y=10 \n4x-2y=20 \ \ \ |\hbox{divide both sides by (-2)} \n \n5x-y=10 \n\underline{-2x+y=-10} \ \ \ |\hbox{add by sides} \n5x-2x-y+y=10-10 \n3x=0 \nx=0 \n \n\hbox{substitute 0 for x in one of the equations:} \n5 * 0 -y=10 \n-y=10 \ny=-10 \n \n\hbox{the answer:} \nx=0 \n y=-10



3x+4y=12 \n2x-y=-10 \ \ \ |\hbox{multiply both sides by 4} \n \n3x+4y=12 \n\underline{8x-4y=-40} \ \ \ |\hbox{add by sides} \n 3x+8x+4y-4y=12-40 \n11x=-28 \nx=-(28)/(11) \nx=-2 (6)/(11) \n \n\hbox{substitute -28/11 for x in one of the equations:} \n2 * (-(28)/(11))-y=-10 \n-(56)/(11)-y=-(110)/(11) \n-y=-(110)/(11)+(56)/(11) \n-y=-(54)/(11) \ny=(54)/(11) \ny=4 (10)/(11) \n \n\hbox{the answer:} \nx=-2(6)/(11) \ny=4 (10)/(11)

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Given the geometric sequence where a1 = 3 and r = √2 find a9

Answers

Answer:

a_9=48

Step-by-step explanation:

we are given

sequence is geometric

so, we can use nth term formula

a_n=a_1(r)^(n-1)

we have

a_1=3

r=√(2)

we have to find a9

so, we can plug n=9

we get

a_9=3(√(2))^(9-1)

a_9=2^4\cdot \:3

a_9=48

Answer:

the answer to this geometric sequence is 48.

Which expression shows the prime factorization of 100

Answers

100 = 10 × 10
100 = 2 × 5 × 2 × 5

100 = 2² × 5²

The prime factorization of 100 is 2² × 5².

Which expression is equivalent to 4/9 divided by 2/3

Answers

4/9 divided by 2/3

4/9 * 3/2 = 12/18

12/18 = 6/9 = 2/3

2/3 is the answer

WILL MARK BRAINLEST HELP ASAP!!!!!

Answers

Answer:

Area of the rectangle is 10x²+7-6

Step-by-step explanation:

Area of rectangle is the product of its length and width

As length of given rectangle is 5x+6 and its width is 2x-3 the are is

(5x+3)(2x-3)

=5x·2x-5x+6·2x-6

=10x²-5x+12x-6

=10x²+7x-6

Answer: 10x^2+7x-6

(5x+6) * (2x-1)

10x^2-5x+12x-6

10x^2+7x-6

(Simple DMAS rules )

hope this helps :)

What is 2+5 nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn

Answers

Answer:

7

Step-by-step explanation:

2 + 5=7

The answer is 7 duhhhhhh

The sum of two consecutive even integers divided by four is 189.5

Answers

Two consecutive even integers means that the numbers are two apart. Let's call the first even integer "n." The consecutive even integer would then be "n+2." Using these two expressions, create an equation that you can solve for the value of the integers:
(n + n + 2)/4 (sum of the integers divided by four) = 189.5 

Now you can solve for the value of n:
(n+n+2)/(4) = 189.5\nn+n+2 = 189.5(4)\n2n + 2 = 758\n2n = 756\nn = 378

Since n = your first even integer, that means your first even integer is 378 and your consecutive even integer is 380.

Answer: 378 and 380
STEP 1:
find first integer

sum= addition
x= first consecutive even integer
x+2= second consecutive even integer

(x + (x+2))/4= 189.5
multiply both sides by 4

x + (x + 2)= 758
combine like terms

2x + 2= 758
subtract 2 from both sides

2x= 756
divide both sides by 2

x= 378 first integer


STEP 2:
substitute first integer to find second

= x + 2
= 378 + 2
= 380 second integer


CHECK:
(378 + 380)/4= 189.5
758/4= 189.5
189.5= 189.5


ANSWER: The first consecutive even integer is 378 and the second consecutive even integer is 380.

Hope this helps! :)
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