MATHEMATICS MIDDLE SCHOOL

Identify the solution of the system, of equation, the intersection coordinates.x+y=-6
6x-7y=42

Answers

Answer 1
Answer:

Answer:

(0,-6)

Step-by-step explanation:

x+y=-6.........eq(1)\n\n6x-7y=42.....eq(2)\n\n7* eq(1)+eq(2)\n\n7(x+y)+6x-7y=7* (-6)+42\n\n7x+6x+7y-7y=-42+42\n\n13x=0\n\nx=0\n\nSubstitute\ the\ value\ of\ x\ in\ the\ eq(1)\n\n0+y=-6\n\ny=-6\n\nSolution\ of\ the\ equation\ is\ (0,-6)

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How do I set up the equation for this word problem? A takes 1/2 of the diamonds plus 1 from the table. B takes 2/3 of what remains. C takes 2/3 of what remains plus 1. One diamond is left. How many diamonds had originally been on the table? Answer is 38 but I don't know how to set it up.
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A city known for its temperature extremes started the day at -5 degrees

Answers

What? I think you forgot to add the words

Find r if 3(r - 7) = 4(2 - 2r) + 4

Answers

Answer:

r=3

Step-by-step explanation:

3(r - 7) = 4(2 - 2r) + 4

Distribute

3r -21 = 8 -8r +4

Combine like terms

3r -21 = 12 -8r

Add 8r to each side

3r +8r-21 = 12 -8r+8r

11r -21 = 12

Add 21 to each side

11r -21+21 =12+21

11r = 33

Divide each side by 11

11r/11 = 33/11

r = 3

Answer:

Step-by-step explanation:

3(r - 7) = 4(2 - 2r) + 4

3r+(-21)=8+(-8r)+4

-21+8+4=3r+(-8r)

-9=-5r

sally deposited $4,000 in a certificate of deposit that paid 2.75% interest compounded annually. what was her balance after one year

Answers

Answer:

$4,110

Step-by-step explanation:

In compound interest, Future Value formula is;

FV = PV (1+r)^n

PV= amount deposited in present value terms = $4,000

r = interest rate = 2.75% or 0.0275 as a decimal

n= total duration of investment = 1

FV = 4000*(1+0.0275)^1

FV = 4000*(1.0275)^1

FV = 4000 *1.0275

FV = $4,110

Therefore, her balance will be $4,110

Plz answer all 1.

(1 pt)


What is the area of the rectangle?





A.


0.9416 mi²


B.


1.8832 mi²


C.


1.95 mi²


D.


3.90 mi²


2.

(1 pt)


What is the area of the rectangle?





A.


40 km2


B.


40 m2


C.


26 km2


D.


26 m2


3.

(1 pt)
What is the area of the rectangle?




A.


1.125 yd²


B.


2.250 yd²


C.


4.50 yd²


D.


11.25 yd²


4.

(1 pt)
What is the area of a rectangular playground with a length of 84.5 ft and a width of 53 ft?


A.


137.5 ft²


B.


275 ft²


C.


4478.5 ft²


D.


44,785 ft²

5.

(1 pt)
Which measurement is the closest approximation of the rectangle’s area?




A.


16 m²


B.


32 m²


C.


65 m²


D.


70 m²

Answers

The area of a rectangle is equal to length times width.
There are no dimensions available here, so i have no idea what the questions are talking about.
but i can help u with 4.
so multiply 84.5 * 53, that equals 4,478.5

Find the solutions to y = (x – 1)2 for x = –3, 0, and 3. (–3, –2), (0, 1), (3, 4) (–3, –16), (0, 1), (3, 4) (–3, 16), (0, 1), (3, 4) (–3, –4), (0, –1), (3, 2)

Answers

Answer:

The pairs of ( x,y) are ( -3 ,16) , ( 0,1) and ( 3,4)

Step-by-step explanation:

y = ( x -1)²

y   = x² - 2 x + 1

 for x = -3

y =( -3)² - 2 × -3 + 1

  = 9 +6 +1

  = 16

so ( x, y) = ( -3 , 16)

for x = 0

y = 0² - 2 ×0 + 1

  = 1

so ( x,y) = ( 0,1)

For x = 3

y = 3² - 2 × 3 +1

   = 9 - 6 +1

   = 4

( x,y) = (3 , 4)

so the pairs of ( x,y) are ( -3 ,16) , ( 0,1) and ( 3,4)

Tell how you know when you have found the prime factorization of a number

Answers

When you come to a number that you can't divide any more
When you end up with prime numbers for example
If you factored out 12 you could say 3x4. Now 3 is a prime number so it cant be broken down any more. You can break down 4 into 2x2. 2 is a prime number so cant be broken down any further. When 12 is factored out it is 2x2x3
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