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lyudmila [28]
3 years ago
8

The sum of three consecutive numbers is greater than 40. The inequality that represents this is x+x+1+x+2>40. Which value of

x hold true for the inequality?
Mathematics
1 answer:
Umnica [9.8K]3 years ago
6 0

Answer:

x can be any integer greater than 12.

Step-by-step explanation:

x + x + 1 + x + 2 > 40

3x + 3 > 40

3x > 37

x > 12 1/3

x can be any integer greater than 12.

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Can 3.65909090909 be expressed as a fraction whose denominator is a power of 10? Explain.
GuDViN [60]
\bf 3.659\textit{ can also be written as }\cfrac{3659}{1000}\textit{ therefore }3.6590909\overline{09}\\\\
\textit{can be written as }\cfrac{3659.0909\overline{09}}{1000}

notice above, all we did, was isolate the "recurring part" to the right of the decimal point, so the repeating 09, ended up on the right of it.

now, let's say, "x" is a variable whose value is the recurring part, therefore then

\bf \cfrac{3659.0909\overline{09}}{1000}\qquad \boxed{x=0.0909\overline{09}} \qquad \cfrac{3659+0.0909\overline{09}}{1000}\implies \cfrac{3659+x}{1000}

now, the idea behind the recurring part is that, we then, once we have it all to the right of the dot, we multiply it by some power of 10, so that it moves it "once" to the left of it, well, the recurring part is 09, is two digits, so let's multiply it by 100 then, 

\bf \begin{array}{llllllll}
100x&=&09.0909\overline{09}\\
&&9+0.0909\overline{09}\\
&&9+x
\end{array}\quad \implies 100x=9+x\implies 99x=9
\\\\\\
x=\cfrac{9}{99}\implies \boxed{x=\cfrac{1}{11}}\\\\
-------------------------------\\\\
\cfrac{3659.0909\overline{09}}{1000}\qquad \boxed{x=0.0909\overline{09}} \quad \cfrac{3659+0.0909\overline{09}}{1000}\implies \cfrac{3659+x}{1000}
\\\\\\
\cfrac{3659+\frac{1}{11}}{1000}

and you can check that in your calculator.
8 0
3 years ago
Mallory needs to go to the airport. It takes her 120 minutes to get there by car. This
sergeinik [125]

Answer:

120(3)=x

120*3=360

x=360 min to go to the Airport by train.

Step-by-step explanation:

6 0
3 years ago
Jonathan goes to the store and purchases 3 pencils for 0.28 each, and y number of erasers for 0.38 each. Write an expression tha
laiz [17]

Keywords


linear equation, variables


Step 1


Define the variables


Let


x-----> number of erasers


y-----> total cost


we know that




 ------> this is the linear equation that represent the situation


therefore


the answer is y = 0.84 + (0.38)x



5 0
3 years ago
Read 2 more answers
Please help me with these 4 question i will mark brainliest to correct answer please dont play around
crimeas [40]

Answer:

6, the property of addition.

Step-by-step explanation:

If you add 6 to both sides you used addition lol. Hope I helped, I'm not too good at explaining math sorry

8 0
3 years ago
Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 0.35\text{ m}^30.35 m 3 0, point
Step2247 [10]

Complete question :

Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 0.35 m3 of fluffy material, with base 0.5 m and height 1m

What is the length of the pillow?

Answer:

1.4 m

Step-by-step explanation:

The volume of wedge is given by:

V = Area of triangle * length

Area of triangle = 1/2 * base * height

Volume of wedge = 1/2 * base * height * length

Volume of wedge = 0.35m³

0.35 = 0.5 * 0.5 * 1 * length

0.35 = 0.25 * length

Length = 0.35 / 0.25

Length = 1.4 m

5 0
2 years ago
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