MATHEMATICS HIGH SCHOOL

Help me with this.. thanks

Answers

Answer 1

Answer:

Answer:

Attachment 1 :- x = 3/2

Attachment 2 :- m + r = 154°

Step-by-step explanation:

Attachment 1 :-

$9^(^2^-^x^) = 3\n=> 3^2^(^2^-^x^) = 3\n$

As the base 3 is same on both the sides , cancel the base 3 from both left & right side of eqn. After that we will get:-

$2(2 - x) = 1\n=> 2 - x =(1)/(2) \n=> x = 2 - (1)/(2) = (3)/(2)$

Attachment 2 :-

PQR is a straight line . It's given that m + n = 110°

But we know that m + n + r = 180° ..............eqn.1

So substituting the value of m+n in eqn.1 gives :-

m+n+r = 180°

=> r + 110° = 180°

=> r = 180° - 110°

= 70°

It's also given that n+r = 96°

So putting the value of r in the above gives ,

n+r = 96°

=> n + 70° =96°

=> n = 96° - 70°

= 26°

Putting the value of n in eqn.1 gives

m + n = 110°

=> m + 26° = 110°

=> m = 110° - 26°

= 84°

So m + r = 84° + 70° = 154°

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Write 2 eggs is to 3 cups of flour as 12 eggs is to 18 cups of flour as a proportion.A. 2 eggs / 3 cups of flour = 12 eggs / 18 cups of flour.
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C. 2 eggs / 3 cups of flour = 18 cups of flour / 12 eggs.
D. 3 eggs / 12 cups of flour = 32 eggs / 18 cups of flour.

Answers

The answer is A. 2 eggs / 3 cups of flour = 12 eggs / 18 cups of flour because 2 x 18 = 3 x 12 = 36.

Which of the following fractions is between 34 and 45A: 77/100
B: 1/2
C: 81/100
D: 5/6

Answers

answer:

To determine which fraction is between 34 and 45, we can compare each fraction to these two numbers. Let's go through the options:

A: 77/100

This fraction is greater than both 34 and 45, so it is not between them.

B: 1/2

This fraction is smaller than both 34 and 45, so it is not between them.

C: 81/100

This fraction is greater than both 34 and 45, so it is not between them.

D: 5/6

This fraction is greater than 34 and smaller than 45, which means it is between them.

Therefore, the fraction that is between 34 and 45 is D: 5/6.

Alan mixes 1 1/3 cups of milk with a can of condensed soup. He makes a total of 2 5/8 cups of soup. How many cups of condensed soup were in the can?

Answers

Subtract 2_5/8 minus 1_1/3:
First, get the fractions to have a common denominator by multiplying the denominators together: 8*3 = 24
Rewrite both fractions with this new denominator:
5/8 needs to be multiplied by 3 on top and bottom to make it have a denominator of 24:
5/8 * 3/3 = 15/24
1/3 needs to be multiplied by 8 on top and bottom to make it have a denominator of 24:
1/3 * 8/8 = 8/24
Now that the fractions have been rewritten with the same denominator, subtract the mixed numbers:
2_15/24 - 1_8/24
Whole numbers:
2 - 1 = 1
Fractions:
15/24 - 8/24 = 7/24.
The can of condensed soup contains 1_7/24 cup

suppose you multiply a fraction Less than 1 by the mixed number 2 and 3/4 will the product be less greater or equal to 2and3/4

Answers

fraction less than one means tak a part out of it
if yo take something out of something else, it becomes smalller

therefor the produce is less than

less than is answer

How Can associative Property be used to mentally find 48+82?

Answers

Associative property of addition represents this equation:
a + b = b + a
So, how would it be helpful with this given equation?
=> 48 + 82
=> Let's start with the ones place value.
(2 + 8) = 10, bring down 0, carry 1 then ( 4 + 8) = 12 + 1 = 13
So the answer is 130.
If we are going to do it vice versa, still expect that the same answer will occur.

If a hospital patient is given 50 milligrams of medicine which leaves the bloodstream at 10% per hour, how many milligrams of medicine will remain in the system after 6 hours? Use the function A(t) = Iert. A) 12.39 mg
B) 27.44 mg
C) 45.24 mg
D) 91.11 mg

Answers

A(t) = 50 e^-(0.1 x 6) = 50 e^-0.6 = 50 x 0.5488 = 27.44 mg

I think the answer is B.