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3 years ago

How many times does 3 go into 8?

Mathematics

1 answer:

kupik [55]3 years ago

3 0

Two times because 3,6

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Solve the inequality |6x + 2| < 10 and graph its solution.

mars1129 [50]

This is a modulus inequality.
First part: when (6x + 2) is positive
6x + 2 < 10
6x < 10 - 2
6x < 8
x < 8/6
x < 4/3

Second part: when (6x + 2) is negative.

-(6x + 2) < 10   Divide both sides of inequality by -1 and change the sign.

(6x + 2) > -10
   6x + 2 > -10
   6x > -10 - 2
   6x > -12 Divide both sides by 6.
   x > -12/6
   x > -2.

Combined solution:   x < 4/3 and x > -2

-2 < x < 4/3.

Graph is a line on the number line between -2 and 4/3.

-2 and 4/3 are excluded from solution.

8 0

3 years ago

35. A can of popcorn is to be packed in a box for shipping as shown. The can is 18 inches tall and has a radius of 7 inches. The

lianna [129]

The amount of packing material is 1506 cubic inches

<h3>How to determine the amount of packing material?</h3>

The given parameters are:

Radius, r = 7 inches

Height, h = 18 inches

Base dimension, l = 15 inches

Height, h = 19 inches

The volume of the can is:

$V = \pi r^2h$

So, we have:

$V_1 = 3.14 * 7^2 * 18$

$V_1 = 2769$

The volume of the box is

$V =l^2h$

So, we have:

$V_2 =15^2 * 19$

$V_2 =4275$

The amount of packing material is;

Amount = V2 - V1

This gives

Amount = 4275 - 2769

Evaluate

Amount = 1506

Hence, the amount of packing material is 1506 cubic inches

Read more about volume at:

brainly.com/question/1972490

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4 0

2 years ago

Find the equation of a line with a slope of 1 and passing through (11;3)

romanna [79]

Step-by-step explanation:

slope(m)=(Y-Y1)/X-X1

here,

M=1

(X1,Y1)=(11,3)

NOW,

m=(Y-Y1)/(X-X1)

1=(Y-3)/(X-11)

1×(X-11)=Y-3

X-11=Y-3

X-Y-11+3=0

X-Y-8=0

X-Y=0 is the required equation.

3 0

3 years ago

if 500 is deposited into an account earning 6 percent simple interest what is the future value in 6 years how do you work it put

djverab [1.8K]

$\bf \qquad \textit{Simple Interest Earned Amount}\\\\
A=P(1+rt)\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$500\\
r=rate\to 6\%\to \frac{6}{100}\to &0.06\\
t=years\to &6
\end{cases}
\\\\\\
A=500(1+0.06\cdot 6)$

4 0

3 years ago

The number of private investigators is expected to increase from 52,000 in 2006 to 61,000 in 2016. If there are 648,982 police o

finlep [7]

4 0

3 years ago

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