MATHEMATICS MIDDLE SCHOOL

Which pair of numbers is relatively prime? A.
12 and 25
B.
24 and 45
C.
9 and 24
D.
18 and 39

Answers

Answer 1
Answer: a. 3*4=12 & 5*5=25. nope
b. 12*2=24& 9*5=45. not at one
c. 3*3=9 & 12*2=24. nope
d. 9*2=18 & 3*13=39. Nada

non of them are prime numbers

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Which one is equivalent?

Answers

Step-by-step explanation:

We have to solve the given expression to get the equivalent expression

So,

(x+4)^2 -(x-4)(x+4)\n= x^2+8x+16-(x^2-16)\n=x^2+8x+16-x^2+16\n= 8x+32\n

Now simplifying the options:

Option A:

4(x+4) = 4x+16

Option B:

4(x-4)(x+4)\n=4(x^2-16)\n= 4x^2-64

Option C:

(x-4)-(x+4)\n= x-4-x-4\n= -8

Option D:

(x+4)[(x+4)-(x-4)]\n= (x+4)[x+4-x+4]\n= (x+4) (8)\n=8x+32

We can see that option D's simplified form is same as the given expression.

Hence,

Option D: (x+4)[(x+4)-(x-4)] is the correct answer

Keywords: Polynomials, expressions

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In a survey, 9 out of 15 students named math as their favorite class.express this rate as a decimal

Answers

Answer: In decimal , it will be expressed as 0.6 .

Step-by-step explanation:

Since we have given that

Total number of students = 15

Number of students names as their favourite class = 9

First we write as a fraction, which is given by

(9)/(15)\n\n=(3)/(5)

Now , we will change it into decimal form using division, so it will be given by

0.6

Hence, our answer is 0.6.
9/15  reduced to 3/5  which is 0.6

Tom drinks 4 pints of water a day.
How many full tanks of water will he drink in 30 days?

Answers

4 pints of water a day
So 4 pints × 30 days  =120 pints
I think it is correct, if wrong please correct me 
It depends on if tanks means gallons. If so, then the answer is 3 1/5 because there are 8 pints in 1 gallon. Add 4 and 4 together to get 8. That's 1 full tank. Then add 4 and 4 again to get 16. That's 2 full tanks. Now, add 4 and 4 again to get 24. Since you can't add 4 and 4 (8), to 24 without going over 30, then you make a fraction or a remainder. The fraction/remainder is 6 left out of 30, or 6/30. Simplify that and you get 1/5. Your answer is then 3 1/5.

What is 0.422 rounded to the nearest thousandth

Answers

.4 is tenths .42 is hundredths and .422 is thousandths

Answer:

0.4 or 0.400

Step-by-step explanation:

your welcome B)

Determine whether the ratios 9/15 and 6/10 form a proportion.

Answers

The given ratios 9/15 and 6/10 are equivalent form is a proportion of 3/5.

What is Ratio?

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

To determine whether the ratios 9/15 and 6/10 form a proportion, we need to check whether the cross-products of these ratios are equal. The cross-product of two ratios is found by multiplying the numerator of the first ratio by the denominator of the second ratio, and vice versa.

In this case, the cross-product of the ratios 9/15 and 6/10 is (9 x 10) / (15 x 6) = 90/90 = 1. Since the cross-products of these ratios are equal, the ratios 9/15 and 6/10 form a proportion.

Alternatively, we can also check whether the two ratios are equivalent. To do this, we can simplify both ratios to their lowest terms.

The simplified form of the ratio 9/15 is 3/5, and the simplified form of the ratio 6/10 is 3/5. Since the simplified form of both ratios is the same, the ratios are equivalent and form a proportion.

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The ratio 9/15 and 6/15 form a proportion

the first term in a sequence is an odd number the rule is to multiply by 2 explain why the rest of the terms in the sequence will be even numbers

Answers

the rest of the terms in the sequence will be even because for example 1×2=2 ,3×2=6 ,5×2=10 and so on
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