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Leni [432]
3 years ago
12

rmula">

Solve for 'x'.
Mathematics
1 answer:
Nostrana [21]3 years ago
8 0

Answer:

<em>x = </em>22.75

Step-by-step explanation:

Step 1: 4<em>x - </em>38 = 53 <----- Here is the original problem.

Step 2: 4<em>x </em>- 38 + 38 = 53 + 38 <----- Add 38 to both sides.

Step 3: 4<em>x </em>= 91 <----- Simplify

Step 4: \frac{4x}{4} = \frac{91}{4} <----- Subtract both sides by 4.

<em>x = </em>22.75

Hope this helps! :D

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6/9=x/6 solve for the variable x
sammy [17]

\frac{6}{9}  =  \frac{x}{6} \Leftrightarrow x =  \frac{ {6}^{2} }{9}  =  \frac{36}{9}  = 4

6 0
4 years ago
6. A pitcher has 16 cups of water in it. During the day, Aditi drank 5⁄2 cups, Kavitha drank 15⁄4 cups, and Rahul drank 33⁄8 cup
Crank

Answer:

A. Aditi 2 1/2 cups, Kavitha 3 3/4 cups, and Rahul 4 1/8 cups

Step-by-step explanation:

2*2=4 5-4=1      2 1/2

3*4=12  15-12=3       3 3/4

4*8-32  33-32=1     4 1/8

4 0
4 years ago
physics convention 11 companies set up equal sized square booths in a row along one wall of a convention center.The booths are a
givi [52]

Answer:

Side length of each booth is 8.35 ft approximately.

Step-by-step explanation:

There are 11 companies set up equal sized square booths in a row along one wall of a convention center.

Now, refer the diagram to answer the problem.

It is given area is 1200.

So, length x width =1200

(11x+24)(x+2)=1200

Multiply using FOIL method.

11x^{2}+22x+24x+48=1200

11x^{2}+46x+48-1200=0

11x^{2}+46x-1152=0

Solve using quadratic formula

x=\frac{-46+/- \sqrt{46^{2}-4(11)(-1152 } }{2(11)}

x=\frac{-46+/-\sqrt{2116+50688} }{22}

x=\frac{-46+/-\sqrt{52804} }{22}

Simplify it

x=\frac{-49+/- 229.79}{22}

Simplify to get two values for x.

x=8.35; x=-12.67

Here negative does not work.

Side length of each booth is 8.35 ft.

3 0
3 years ago
Change the following decimals to fractions give your answers in their simplest form a) 0.3 b) 0.46 c) 0.075
guapka [62]

Answer:

0.3 = \frac{3}{10}\\\\ 0.46 = \frac{23}{50} \\\\0.075 = \frac{3}{40}

Step-by-step explanation:

To convert decimals to fractions, you look at the place of the last digit of the fraction (i.e. the digit that the farthest right from the decimal)

For 0.3, 3 is in the tenths place, so we end up with the fraction \frac{3}{10}

For 0.46, 6 is in the hundreths place, so before simplifying we have \frac{46}{100}

The GCF of 46 and 100 is 2 so we divide the fraction by \frac{2}{2} to get \frac{46}{100} ÷\frac{2}{2} = \frac{23}{50}

For 0.075, the 5 is in the thousandths place, so before simplifying we have \frac{75}{1000}

The GCF of 75 and 1000 is 25 so we decide the fraction by \frac{25}{25} to get \frac{75}{1000} ÷\frac{25}{25} = \frac{3}{40}

4 0
2 years ago
Math question<br>5x-5 (6*7x)=65
hammer [34]

5x-5(6\cdot7x)=65\\\\5x-5(42x)=65\\\\5x-210x=65\\\\-205x=65\qquad\text{divide both sides by (-205)}\\\\x=-\dfrac{65}{205}\\\\x=-\dfrac{65:5}{205:5}\\\\\boxed{x=-\dfrac{13}{41}}

4 0
4 years ago
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