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seraphim [82]
3 years ago
7

Fill in the blanks with two consecutive integers to complete the following inequality.

Mathematics
2 answers:
Andreyy893 years ago
8 0

Answer:

9 < √97 < 10

Step-by-step explanation:

√97 is a little less than √100

Which is 10

9 < √97 < 10

baherus [9]3 years ago
4 0
<h3>Answer:  9 < √97 < 10 </h3>

=====================================================

Explanation:

Consider that 81 < 97 < 100 is a true statement. Note the 81 and 100 are perfect squares such that 81 = 9^2 and 100 = 10^2

We can apply the square root to all three sides to get the following

81 < 97 < 100\\\\\sqrt{81} < \sqrt{97} < \sqrt{100}\\\\\sqrt{9^2} < \sqrt{97} < \sqrt{10^2}\\\\9 < \sqrt{97} < 10\\\\\text{The number }\sqrt{97} \text{ is between 9 and 10}\\\\

Using a calculator, we can help verify this

\sqrt{97} \approx 9.85

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A refrigerator cools a bottle of water 2 degrees per minute. how many minutes will it take to lower its temperature from 90 degr
HACTEHA [7]
<span>It will take 20 minutes. The fridge needs to cool down by 90-50=40degrees. The fridge cools at 2 degrees per minute, i.e. 40/2=20 minutes total.</span>
8 0
3 years ago
John took all his money from his savings account. He spent $88 on a radio and 1/4 of what was left on presents for his friends.
gayaneshka [121]

Answer:

$968

Step-by-step explanation:

x= the money John originally had in his savings account

The statement says that John spent $88 on a radio and 1/4 of what was left on presents for his friends. This means that the remaining money is 3/4 of the total amount minus the money spent on the radio:

3/4(x-88)

Then, it says that of the money remaining, John put 4/11 into a checking account and the last remaining $420 was left to charity. Since, he spent 4/11 of the remining 3/4(x-88), the remaining is 7/11 of that and that remaining is equal to $420 that was the money left at the end:

7/11(3/4(x-88))= 420

21/44(x-88)=420

21/44x-42=420

21/44x=462

x=968

According to this, the money that John originally had in his savings account was $968.

He spent $88 on a radio: 968-88= 880

1/4 of what was left on presents for his friends: 880/4= 220

880-220=660

Of the money remaining, John put 4/11 into a checking account: 660*(4/11)=240

the last remaining $420 was left to charity: 660-240= 420

6 0
3 years ago
What is the answer to this
allochka39001 [22]
678.58 that is the surface area to this problem
5 0
3 years ago
Which ordered pair is a solution to this equation? y = 2x + 1 A. (0, 1) B. (1, 4) C. (2, 6) D. (3, 6)
grandymaker [24]

Answer:

The answer is A

If x = 0 then y = 1

Step-by-step explanation:

6 0
3 years ago
Find constants A and B such that (x + 7)/(x^2 - x - 2) = A/(x - 2) + B/(x + 1) for all x such that x≠ -1 and x≠ 2 Give your answ
Yanka [14]
For this case we have the following expression:
 (x + 7) / (x ^ 2 - x - 2) = A / (x - 2) + B / (x + 1)
 Rewriting we have:
 (x + 7) / ((x-2) (x + 1)) = A / (x - 2) + B / (x + 1)
 We multiply the equality by (x-2) (x + 1):
 x + 7 = A (x + 1) + B (x - 2)
 Rewriting we have the following system of equations:
 A + B = 1
 A - 2B = 7
 Solving the system we have:
 A = 3
 B = -2
 Answer:
 
constants A and B are:
 
A = 3
 
B = -2
6 0
3 years ago
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