MATHEMATICS MIDDLE SCHOOL

Which equation supports the given conjecture? The sum of the squares of two consecutive integers is an odd integer.

A.
(2 + 3)2

B.
32 + 52 = 34

C.
4 + 52 = 29

D.
52 + 62 = 61

Answers

Answer 1
Answer: the first part says the sum of the squares of two consecutive integers or in other words (x)(x)+(x+1)(x+1) so we can cross out A because 2 and 3 are prime numbers (no factors)  we can cross out all the others because the square root of 52 is not an integer so any equation with 52 in it does not satisfy the requirement. so none of them are corect.  additionally, some of the equations are obviously false such as 52+62=61
Answer 2
Answer:

The verified answer is wrong the correct answer is d 5 squared plus 6 squared. Because the question is asking for two consecutive integers and it wants an odd integer therefor d is the correct answer because it has to squared consecutive integers and an odd answer.

Hope i helped Mark as brainliest

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95/8 -17/8 what does it equal

Answers

Input the fraction = 95/8 
Integer =11
Fraction part = 7/8
Answer = 11.875
The denominators are same so you just need to minus the numerator with each other so..
95 - 17 = 78.
so the answer is 78/8. So its in improper fraction now so we need to convert it into mixed fraction so 78 divided by 8 = 9,6 by 8 or 97.5.
hope this helps :)

Solve using the substitution method 3x+2y=11
X-2=4y

A(12,-5/2)
b (0,-1/2)
C (0,-2)
D (4,-1/2)

Answers

\left \{ {{3x+2y=11\ \ \ \ \ \ \ } \atop {x-2y=4y\ \ | add\ 2y}} \right.\n\n \left \{ {{3x+2y=11} \atop {x=4y+2y}} \right.\n\nsubstitution\ method\n\n3(4y+2y)+2y=11\n\n3*6y+2y=11\n\n18y+2y=11\n\n20y=11\ \ \ | divide\ by\ 20\n\ny=(11)/(20)\n\nx=6y=6* (11)/(20)=(66)/(20)=(33)/(10)\n\n

I know this is already answered but this is the answer simplified

(4, -1/2)

This is to help those that didn't understand the first guys explanation.

4y-11=21 what is the value of y

Answers

4y-11=21
Add 11 to 21.
4y=32
Divide both sides by 4.
y=8
My steps may be really weird, but please don't ridicule me. 

1. 11+21
2. 32 divides 4
3. 8
So, y is 8.

Is 5/8 equivalent to 4/10

Answers

No, 5/8 is not equivalent to 4/10.
No, 5/8 is bigger than 4/10

What is between 0 and 1/4

Answers

0 is 0 and 1/.4 is 25%
Many like, 1/2, 1/3, 1/4, 1/5, goes through all the way.

A stereo that normally sells for $125 is on sale for $90. By what percent has the price of the stereo been reduced?

Answers

If stereo that normally sells for $125 is on sale for $90 then  price of the stereo has been reduced by 28%.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

To find the percentage reduction in price, we need to calculate the difference between the original price and the sale price

Divide the difference by the originalprice, and then multiply by 100 to express the answer as a percentage.

The reduction price is difference between the One hundred twenty five and ninety.

The reduction in price is:

$125 - $90 = $35

So, the stereo has been reduced by $35.

To find the percentage reduction, we divide the reduction by the original price and multiply by 100:

$35/$125 x 100%

0.28×100

When zero point two eight is multiplied with hundred we get twenty eight.

= 28%

Therefore, the price of the stereo has been reduced by 28%.

To learn more on Percentage click:

brainly.com/question/28269290

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28%
so you subtract $90 from $125 and that gives you $35, then you must determine the percentage by trial to see what percent that $35 is of $125, you can tell by looking that it will be near to a third or 33%, but not quite that much, so work backwards from there and try 30% and because that is just a bit more that $35, reduce and try a smaller percentage, 28% of 125 is exactly $35 
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