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3 years ago

Find two consecutive whole numbers that square root 97 lies between

Mathematics

2 answers:

lora16 [44]3 years ago

8 0

Answer: 9 and 10

Step-by-step explanation:

To understand this question we need to first understand how to solve square root equations! The easiest way to learn how to solve square root problems is by finding the reverse of the problem.

For example, if you tried to find the square root of 25, you would reverse the problem to do 5^2 = 5 x 5 = 25.

So if we were to implement this problem, we would look at these two whole numbers.

9^2 = 9 x 9 = 81

10^2 = 10 x 10 = 100

Thus meaning that the only two numbers that the square root of 97 lies between can be 9 and 10!

It's important to rely on your knowledge of multiplication to develop a strong base for square roots.

antoniya [11.8K]3 years ago

7 0

Answer:

9 & 10

Step-by-step explanation:

97 lies between two perfect squares, 81 and 100

Hence sqrt(97) would lie between sqrt(81) and sqrt(100), which are 9 and 10

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Which logarithmic equation is equivalent to 2^5=32?

kolbaska11 [484]

Answer: $5=log_{2}(32)$

Step-by-step explanation:

1. By definition, you have if $y=b^{x}$ , then $x=log_{b}(y)$

2. Keeping this on mind, you must follow the proccedure shown below:

- You have that:

$2^{5}=32$

Where:

$x=5\\y=32\\b=2$

- Substitute values into $x=log_{b}(y)$ . Then, you obtain:

$5=log_{2}(32)$

6 0

3 years ago

Read 2 more answers

A taxi driver had 27 fares to and from the airport last Monday. The price for a ride to the airport is $14, and the price for a

OLga [1]

Answer:

(15, 12)

Step-by-step explanation:

Let's generate two systems of equations that fit this scenario.

Number of trips to the airport = x

Number of trips from the airport = y

Total number of trips to and from the airport = 27

Thus:

$x + y = 27$ => equation 1.

Total price for trips to the Airport = 14*x = 14x

Total price of trips from the airport = 7*y = 7y

Total collected for the day = $294

Thus:

$14x + 7y = 294$ => equation 2.

Multiply equation 1 by 7, and multiply equation 2 by 1 to make both equations equivalent.

7 × $x + y = 27$

1 × $14x + 7y = 294$

Thus:

$7x + 7y = 189$ => equation 3

$14x + 7y = 294$ => equation 4

Subtract equation 4 from equation 3

-7x = -105

Divide both sides by -7

x = 15

Substitute x = 15 in equation 1

$x + y = 27$

$15 + y = 27$

Subtract both sides by 15

$y = 27 - 15$

$y = 12$

The ordered pair would be (15, 12)

7 0

3 years ago

1. Mr. Miller is building a dollhouse

Lina20 [59]

Answer:

1 ft : 2.5 yd or 1 ft : 2 1/2 yd

Step-by-step explanation:

He wants a real dimension of 10 yards to be represented by a scale dimension of 4 ft.

4 ft : 10 yd

Divide both sides by 4.

1 ft : 2.5 yd or 1 ft : 2 1/2 yd

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3 years ago

Geometry help! this is my 2nd to last question

Kryger [21]

A square since all sides are equal and the angles aren't acute so it can't be a rhombus

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3 years ago

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Triangle FGH is similar to JKM.

mario62 [17]

Answer: J = 14.4 cm

Step-by-step explanation:

<em>K is similar to G</em>

So we can find the scale that FHG was dilated by dividing the side length of G by the side length of K

16.56/9.2 = 1.8

So the sides of the triangle KMJ were multiplied by a factor of 1.8

to find m :

25.92/1.8 = 14.4

J = 14.4

8 0

2 years ago