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3 years ago

2(4x+1)<3(2x-3) solve the inequality

Mathematics

1 answer:

Anestetic [448]3 years ago

4 0

Answer:

x< -11/2

Step-by-step explanation:

Let's solve your inequality step-by-step.

2(4x+1)<3(2x−3)

Step 1: Simplify both sides of the inequality.

8x+2<6x−9

Step 2: Subtract 6x from both sides.

8x+2−6x<6x−9−6x

2x+2<−9

Step 3: Subtract 2 from both sides.

2x+2−2<−9−2

2x<−11

Step 4: Divide both sides by 2.

2x/2<−11/2

x< −11/2

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Solve the equation for y.<br><br> 6y+x=8

iVinArrow [24]

Answer:

The correct answer is $\bold{y = -\frac{1}{6}x+\frac{4}{3}}$ .

Step-by-step explanation:

We want to solve for y in the given equation. We can do this by rearranging the equation and using operational techniques to simplify.

$6y + x = 8 \ $\tex Subtract x from both sides of the equation.$

$6y + x - x = 8 - x \ $\tex Carry out the operation.$

$6y = 8 - x \ $\tex Rearrange so the equation lists the variables first and the constants second.$

$6y = -x + 8 \ $\tex Create a coefficient for the x-variable (this is -1).$

$6y = -1x + 8 \ $\tex Divide by 6 on both sides of the equation in order to isolate the y-variable.$

$\frac{6y}{6}=\frac{-1x}{6} + \frac{8}{6} \ $\tex Carry out this operation by simplifying the fractions and dividing out the operations accordingly.$

$y = -\frac{1}{6}x+\frac{4}{3} \ $\tex Be sure to verify that all fractions and terms are simplified as far as they can be and that the equation is written in proper syntax.$

Because we have the <em>y</em>-variable isolated from the rest of the equation, we are done!

6 0

3 years ago

The first Portuguese explorer to lay claim to Brazil was

Serhud [2]

Answer:

Cabral is right

Step-by-step explanation:

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6 0

3 years ago

The base of a right circular cylinder has a diameter of 5.00 inches. Sally measured the circumference of the base cylinder and r

LUCKY_DIMON [66]

Answer:

The percent of error in her measurement is 1.3%

Step-by-step explanation:

we know that

The circumference of a circle is equal to

$C=\pi D$

where

D is the diameter

we have

$D=5\ in$

assume

$\pi=3.14$

substitute

$C=(3.14)(5)=15.7\ in$ ----> This value represent the 100% (theoretical value)

Find the difference between the theoretical value and the measured value

$15.7-15.5=0.2\ in$

Find the percentage by proportion

$15.7/100=0.2/x\\ x=100*0.2/15.7\\ x=1.3\%$

4 0

4 years ago

Pretty sure this work is wrong , need it corrected

Makovka662 [10]

C/30 = 8/12
c/30 = 2/3
3c = 60
c = 60/3
c = 20

8 0

3 years ago

True or false concave polygon has all interior angles describe any angles less than 180 Degrees degrees??

Ugo [173]

Answer:

true

Step-by-step explanation: In a concave polygon, each interior angle is less than 180°.

8 0

3 years ago