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Ket [755]
3 years ago
7

One building is 60 stories tall, and a second building is 48 stories tall. What is the ratio, in simplest terms, of the number o

f stories in the first building to the number of stories in the second building?
Mathematics
2 answers:
Kobotan [32]3 years ago
8 0

Answer:

Ratio is :  5/4  or  5 : 4

Step-by-step explanation:

The ratio of the number of stories in the first building to the number of stories in the second building :  

    60 : 48    or 60/48

Both numbers have 3 and 4 as common factors. So

  3 * 4 * 5 :  3 * 4 * 4

 5 : 4  is the ratio in the simplest terms striking of the common factors.

VLD [36.1K]3 years ago
4 0

Answer:

  • Simplest form is 60 : 48.

Step-by-step explanation:

We are finding the ratio of 60 and 48.

It's very simple.

<u>Ratio should be:</u>

  • 60 : 48.

There is no other simple form, so the simplest form is 60 : 48.

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Solve for x please im kinda confused​
klio [65]

Answer:

x = 6

Step-by-step explanation:

Assuming the figure is a parallelogram then opposite sides are congruent, thus

3x - 6 = 12 ( add 6 to both sides )

3x = 18 ( divide both sides by 3 )

x = 6

3 0
3 years ago
Simplify (-3)(-3)(-3)​
Radda [10]

Answer:

-27

Step-by-step explanation:

-3 x -3=9

9 x -3= -27

4 0
3 years ago
Read 2 more answers
-3|9x-7|=2 Find the answer for x
labwork [276]
<h2>Solving Equations with Absolute Expressions</h2><h3>Answer:</h3>

<u>No Solutions</u>

<h3>Step-by-step explanation:</h3>

Given:

-3|9x -7| = 2

Rewriting the given equation:

-3|9x -7| = 2 \\ |9x -7| = -\frac{2}{3}

We have to realize that the right side of the equation, |9x -7|, will always be positive no matter what real values of x (because we're taking the absolute value of the expression) and we are equating it to a <em>negative</em> constant number, -\frac{2}{3}\\. Something that is always positive will never be negative so there's no value for x that satisfies the solution.

\rule{6.5cm}{0.5pt}

<em>You</em><em> </em><em>may</em><em> </em><em>not</em><em> </em><em>read</em><em> </em><em>the</em><em> </em><em>following</em><em> passage</em><em> </em><em>that</em><em> </em><em>I</em><em> </em><em>have</em><em> </em><em>written.</em>

\rule{6.5cm}{0.5pt}

Solving by positive of the expression:

9x -7 = -\frac{2}{3} \\ 9x = -\frac{2}{3} +7 \\ 9x = -\frac{2}{3} +\frac{21}{3} \\ 9x = \frac{19}{3} \\ 9x \times \frac{1}{9} = \frac{19}{3} \times \frac{1}{9} \\ x = \frac{19}{27}

Solving by the negative of the expression:

-(9x -7)= -\frac{2}{3} \\ 9x -7 = \frac{2}{3} \\  9x = \frac{2}{3} +7 \\ 9x = \frac{2}{3} +\frac{21}{3} \\ 9x = \frac{23}{3} \\ 9x \times \frac{1}{9} = \frac{23}{3} \times \frac{1}{9} \\ x = \frac{23}{27}

Checking: x = \frac{19}{27}\\

-3|9(\frac{19}{27}) -7| \stackrel{?}{=} 2 \\ -3|\frac{19}{3} -7| \stackrel{?}{=} 2 \\ -3|\frac{19}{3} -\frac{21}{3}| \stackrel{?}{=} 2 \\ -3|-\frac{2}{3}| \stackrel{?}{=} \\ -3(\frac{2}{3}) \stackrel{?}{=} 2 \\ -2 \stackrel{?}{=} 2 \\ -2 \neq 2

x = \frac{19}{27}\\ is an extraneous solution.

Checking: x = \frac{23}{27}\\

-3|9(\frac{23}{27}) -7| \stackrel{?}{=} 2 \\ -3|\frac{23}{3} -7| \stackrel{?}{=} 2 \\ -3|\frac{23}{3} -\frac{21}{3}| \stackrel{?}{=} 2 \\ -3|\frac{2}{3}| \stackrel{?}{=} \\ -3(\frac{2}{3}) \stackrel{?}{=} 2 \\ -2 \stackrel{?}{=} 2 \\ -2 \neq 2

x = \frac{23}{27}\\ is an extraneous solution.

8 0
3 years ago
Jamie invests $1,200 in an account that earns 3% interest. Assuming continuous compounding, how much is in his account after 7 y
goblinko [34]

Answer:

The amount in account after 7 years of investment is $1478.4

Step-by-step explanation:

Given as :

The principal invested in account by Jamie = p = $1200

The rate of interest = r = 3% compounded annually

The Time period of investment = t=  7 years

Let The Amount in Jamie account = $ A

<u>For continuous compounding</u>

Amount = Principal × e^{r \times time}

Or, A = p × e^{r \times time}

Or, A = $1200 × e^{0.03 \times 7}

Or, A = $1200 × 2.71^{0.03 \times 7}

Or, A = $1200 × 1.232

∴  A = $1478.4

So, The amount after continuous compounding = A = $1478.4

Hence , The amount in account after 7 years of investment is $1478.4    Answer

5 0
4 years ago
8 tenths and 7 hunderths can be regrouped as what?
Fittoniya [83]

Answer:

Step-by-step explanation:

2

8 0
4 years ago
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