MATHEMATICS MIDDLE SCHOOL

There are 6 geese and 9 hens on Mr. Thomson’s farm. Mr. Thomson adds 6 more geese and 3 more hens to his farm. What is the new ratio of the number of geese to the number of hens

Answers

Answer 1

Answer:

Answer

Find out the what is the new ratio of the number of geese to the number of hens .

To prove

As given

There are 6 geese and 9 hens on Mr. Thomson’s farm.

Mr. Thomson adds 6 more geese and 3 more hens to his farm.

Than

The number of geese becomes = 6 + 6

= 12

The number of hens becomes = 9 +3

= 12

The new ratio of the number of geese to the number of hens be

$(Number\ of\ geese)/(Number\ of\ hens) = (12)/(12)$

simplify

$(Number\ of\ geese)/(Number\ of\ hens) = (1)/(1)$

Therefore the new ratio of the number of geese to the number of hens be 1:1 .

Answer 2

Answer: 12:12. simplified to 1:1

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if (ax+2)(bx+7) = 15xsquared + cx +14 for all values of x, and a+b =8, what are the two possible values for c?

Answers

The two possible values for c are 31 and 41

Step-by-step explanation:

Given Expression:

$(a x+2)(b x+7)=15 x^(2)+c x+14$

a + b = 8

To expand,

Multiply a x with (b x + 7) = $a b x^(2)+7 a x$

Multiply 2 with (b x + 7) = 2 b x +14

Now, combining the above, we get

$a b x^(2)+7 a x+2 b x+14=15 x^(2)+c x+14$

$a b x^(2)+x(7 a+2 b)+14=a b x^(2)$

When comparing both sides, we get

a b = 15, 7 a + 2 b = c

$a=(15)/(b) \text { or } b=(a)/(15)$

Now, substitute above value in a + b = 8. So,

$(15)/(b)+b=8$

$15+b^(2)=8 b$

$b^(2)-8 b+15=0$

Factorising above, we get the equation as

$b^(2)-3 b-5 b+15=0$

(b - 3) (b - 5) = 0

b = 3 and 5

If b = 3, then

$a=(15)/(b)=(15)/(3)=5$

If b = 5, then

$a=(15)/(5)=3$

If a = 3, b = 5

c =7 a + 2 b = 7 (3) + 2 (5) = 21 + 10 = 31

If a = 5, b = 3

c =7 (5) +2 (3) = 35 + 6 = 41

Therefore, the values of ‘c’ are 31 and 41.

What is greater 1\3 or 30%?

Answers

To compare we can tranfrom 30% info fraction
30%= $(30)/(100)= (3)/(10) = (3*3)/(10*3) = (9)/(30)$
$(1)/(3)= (1*10)/(3*10)= (10)/(30)$
Now we can compare
$(9)/(10)< (10)/(30)$
So 1/3 is greater than 30%./

1/3 is greater because 1/3 equals 33.3333333333 and 30% is 30%. So therefore 1/3 is greater than 30%.

Starting time 6:57 pm elapsed time 47 minutes

Answers

7:44 is the answer to the Question

7:44, as you are adding the minutes in Mod 60

Place value of 0 1 4 3 6 9 in 987,164.302

Answers

0 is in the hundredths place
1 is in the hundreds place
4 is in the ones place
3 is in the tenths place
6 is in the tens place
9 is in the hundred-thousands place

Is 3 yards greater than less than or equal to 10 feet

Answers

The question is asking to state if 3 yards in greater than, lees than or equal to 10 feet, base on my research, I would say that its less than because 3 yards is only 6 feet. I hope you are satisfied with my answer and feel free to ask for more if you have questions

less than because 3 yards = 6 feet

Anna can buy 3 sweatshirts for total of $45. How much would it cost if she were to buy five sweatshirts at the same price?