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3 years ago

Solve the inequality. -5-x/3<4

Mathematics

2 answers:

lora16 [44]3 years ago

6 0

Hey there! :)

(-5 - x)/(3) < 4

Start out by multiplying both sides by 3. This is to get rid of any fractions we have!

3 • (-5 - x)/(3) < 4 • 3

Simplify!

-5 -x < 12

Add 5 to both sides so that we can isolate our variable.

-5 - x + 5 < 12 + 5

Simplify!

-x < 17

Divide both sides by -1.

Keep in mind that when dividing by a negative number, you must change the sign of the “crocodile mouth.” So, < turns into >.

-1 / -x > 17 / -1

Simplify.

x > -17

Hope this helped! :)

elena-14-01-66 [18.8K]3 years ago

3 0

Answer:

x > -17

Step-by-step explanation:

(-5 - x) / 3 < 4

Multiply both sides by 3.

-5 - x < 12

Add 5 to both sides.

-x < 17

Divide both sides by -1

x > -17

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Brums [2.3K]

Number 1 is add 3
Number 2 is add 4
Number 3 is add 6
Number 4 is add 7

8 0

3 years ago

2. In the circle shown, secants PE and PF have been drawn such that mCE  82 , mDF  98 and the ratio 3. In circle O, tangent

Andrew [12]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The arc PR is $\theta _{PR} = 84$

Step-by-step explanation:

A descriptive diagram of the diagram given in the question is shown on the first uploaded image

In the circle tangent $\= {M \= Q}$ , secant $PE$ and chord $PF$ are drawn

given that $\theta _ {MPQ} = 102^o$ , $\theta _{M} = 60^o$

The objective is to determine PR

From the diagram we see that MQ is a straight which implies that the the angle

$\theta_{NPM} = 180 -102$

$\theta_{NPM} = 78^o$

Now looking at triangle NMP we see that

$\theta _{MNP} = 180 -[ \theta_{NMP} + \theta _{NPM}]$

$\theta _{MNP} = 180 - [60 + 78 ]$

$\theta _{MNP} = 42 ^o$

Now the measure of an inscribed angle is half the measure of its arc intercepted, this statement is the inscribed angle theorem

So with the knowledge

Then

$\theta_{RNP} = \frac{1}{2} \theta_{PR}$

Looking at the diagram we see that

$\theta _{MNP} = \theta_{RNP} = 42 ^o$

$42 = \frac{1}{2} \theta _{PR}$

$\theta _{PR} = 2 * 42$

$\theta _{PR} = 84$

7 0

3 years ago

Simplify (2x + 1) (3.1 – 6)using the Distributive Property or the Area Method.

Tju [1.3M]

Answer: -5.8x-2.9

Step-by-step explanation:

Hi, to answer this we will use the distributive property:

The distributive property allows to multiply a sum by multiplying each addend separately and then add the products.

(2x + 1) (3.1 – 6)

(2x [3.1]) +(2x[-6])+ (1 [3.1])+ (1 [-6])

6.2x-12x+3.1-6

-5.8x-2.9

Feel free to ask for more if needed or if you did not understand something.

4 0

4 years ago

How many significant figures does each value contain? 5.6803 kg has significant figures. 0.00047 seconds has significant figures

Kamila [148]

Answer:

see below

Step-by-step explanation:

Significant figures are numbers that are necessary to express a true value.

Place the values in scientific notation.

$5.6803 * 10^{1} = 5.6803\\\\4.7 * 10^{-4} = 0.00047\\\\2.4 * 10^{-1}=0.240$

Explaining <u>why</u>

1. The zero that is within 5.6803 is "trapped," meaning it is in between two nonzero digits. Therefore, all five digits are significant figures.

2. The zeroes that precede the 4 and the 7 are not significant because they are dropped in scientific notation and are not trapped by other nonzero digits. Therefore, only two digits of this value are significant.

3. Because the zero at the end of 0.240 is a trailing zero, it is significant along with the 2 and the 4. The zero that precedes these digits and the decimal point is not significant. Therefore, only three digits of this value are significant.

Hope this helps! :)

6 0

3 years ago

the length of beecher family's driveway is 20yds the lengths of their suv is one fourths the lengths of the driveway how many fe

zmey [24]

since 20yrds is 60ft the car is 15ft long

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3 years ago