What is a common factor of 12x 2 − 5x − 3 and 6x 2 − x − 1 ?

Answer:

4.5 km

Step-by-step explanation:

3km times 1 = 3 and then 3km times .5 = 1.5

3+1.5= 4.5

Answer:

Step-by-step explanation:

From the question all the angles are on a a straight line which means the sum of their angles is 180 and one of the angles is 90°

So to find m [tex] \angle[/tex] 6 , add

m [tex] \angle[/tex] 5 and 90 and subtract the result from 180°

That's

m[tex] \angle[/tex]5 + m[tex] \angle[/tex]6 + 90 = 180

m[tex] \angle[/tex]6 = 180 - 90 - m[tex] \angle[/tex]5

m[tex] \angle[/tex]6 = 180 - 90 - 22

We have the final answer as

Hope this helps you

In the question, a lines & angles diagram is provided, and we can see three angles labelled here. The angles are angle 5, angle 6 and a 90°.

GiveN,

We have to find the measure of the missing angle 6...

All the three angles are lying on a staright line, so their collective measure or the sum of these 3 angles is equals to 180°.

➝ Angle 5 + Angle 6 + 90° = 180°

➝ 22° + Angle 6 + 90° = 180°

➝ Angle 6 + 112° = 180°

➝ Angle 6 = 68°

So, the measure of Angle 6:

[tex] \huge{ \boxed{ \bf{68 \degree}}}[/tex]

And we are done !!

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Answer:

y = 28 - b

Step-by-step explanation:

you can find the number of yellow butterflies, y, by subtracting the number of blue butterflies, b, from the total number of butterflies which is 28.

The solutions for the the system of equations are given as x = 1 and  y = 2 respectively.

A system of linear equations is a group of equations having same number of variables and degree.

For the n number of variables n number of equations are required.

On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.

The given system of linear equations are as follows,

12x - 7y = -2          (1)

8x + 11y = 30​         (2)

In order to solve by elimination, multiply equation (1) by 2 and (2) by 3 and then subtract to obtain,

2(12x - 7y) - 3(8x + 11y) = 2 × -2 - 3 × 30  

=> -14y - 33y = -94

=> -47y = -94

=> y = 2

Substitute y = 2 in equation (1) to get,

12x - 7 × 2 = -2  

=> 12x = -2 + 14

=> x = 12/12 = 1

Hence, the given system of linear equations is solved by elimination to give x = 1 and  y = 2 respectively.

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Answer:

25

Step-by-step explanation:

[tex](2x + 2) +( 5x + 3) = 7x + 5 = 180 \\ 7x = 175 \\ x = 25[/tex]

Answer:

25

Step-by-step explanation:

2x+2+5x+3=180

7x+5=180

7x=175

x=25

Step-by-step explanation:

: 40=8d

divide both sides by 8

40/8=8d/8

d=5

[tex]\textsf{Hey there!}[/tex]

[tex]\textsf{40 = 8d}[/tex]

[tex]\textsf{FIRST \& LAST step: DIVIDE by 8 on both of your sides}[/tex]

[tex]\mathsf{\dfrac{40}{8} = \dfrac{8d}{8}}[/tex]

[tex]\mathsf{CANCEL\ out: \dfrac{8}{8}\ because\ it\ gives\ you\ 1}[/tex]

[tex]\mathsf{KEEP: \dfrac{40}{8}\ because\ that\ helps\ us\ solve\ for\ \bf{d} \textsf{ \ or \ answers\ d}}[/tex]

[tex]\mathsf{\underline{\dfrac{40}{8} = 40\div8 \rightarrow 5}}[/tex]

[tex]\mathsf{Answer}[/tex]

[tex]\textsf{\bf{d = 5}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

C

Step-by-step explanation:

Steven's cards = x

Nathaniel's cards = 2x

Marcus' cards = 2x - 4

Kurt's cards = 2x - 5

Since the sum of the cards is equal to 47, let's set all the cards equal to 47

x + 2x + 2x - 4 + 2x - 5 = 47

Combine like terms.

7x - 9 = 47

Add 9 to both sides

7x = 56

Divide both sides by 7

x = 8

Let's plug 8 into x for Kurt's cards.

Kurt's cards = 2x - 5 = 2(8) - 5 = 16 - 5 = 11 cards.

Answer:

6

Step-by-step explanation:

2x=-3y+12

x=-3/2x+6

6 is zero

Answer:

x/the zero=6

Step-by-step explanation:

Make the y zero

2x+3(0)=12

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then you're left with 2x=12

dived from both sides

x=6

Answer:

The answer is

Step-by-step explanation:

[tex] - 12( \frac{5}{6} x - 5) + 2x[/tex]

Using FOIL multiply the terms in the bracket

That's

[tex] - 12( \frac{5}{6} x) + 12(5) + 2x \\ \rarr \: \: - 10x + 60 + 2x[/tex]

Group like terms

That's

[tex]60 + 2x - 10x[/tex]

We have the final answer as

Hope this helps you

Answer:

You can tell 7.360 and 7.36 are equivalent decimals because when you put a zero in the decimal places, it doesn't count as a number and it doesn't have a value. In conclusion, zero is just a placeholder. Therefore, if you have the zero or not it doesn't matter.

Answer:with what I could help

Step-by-step explanation:

Answer:

The sweat chloride reference value is less than 30 mmol/L. A value of more than 60 mmol/L of chloride in the sweat is consistent with a diagnosis of cystic fibrosis. The values of 30-60 mEq/L may represent heterozygous carriers, these carriers cannot be accurately identified with a sweat chloride test.

Answer:

Felipe work for 6 hours to earn $54

Step-by-step explanation:

I guess I was help full for u

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Answer:

work is attached and shown

Answer:

  B) 0.003

Step-by-step explanation:

1 meter per 1000 years is 1 mm per year, so 1/365 mm per day.

  1/365 mm/day ≈ 0.00274 mm/day ≈ 0.003 mm/day

Answer:

B) 0.003

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

2) x =5y  Solve for y

Divide both sides by y

x/5 = y

3) f/g = h Solve for G

Multiply both sides by g

(g/1) f/g =h(g)

f =hg

Divide by h

f/h = g

5) bf = m  Solve for b

divide both sides by f

bf/f = m/f

b = m/f

6) 8 = b/d   solve for d

Multiply both sides by d

8 ( d) = b

Divide by 8

d = b/8

Answer: 130

Step-by-step explanation:

Answer: 130 (D)

What is the measure of angle TRV?

Answer:

27 weeks

Step-by-step explanation:

Answer:

x = -28/11

Step-by-step explanation:

-2(4x + -4) - 3x - 2 =34

Distribute

-8x+8 -3x-2 =34

Combine like terms

-11x +6 = 34

Subtract 6 from each side

-11x+6-6 = 34-6

-11x = 28

Divide each side by -11

-11x/-11 = 28/-11

x = -28/11

Answer:

x= -28/11

Step-by-step explanation:

Multiply -2 by 4x +4

That equals -8x+8

So the equation is now

-8x+8+3x -2 = 34

Now combine  like terms

11x+6=34

Subtract 6 from both sides

11x=28

divide by 11 on both sides

x =  -28/11

Answer:

300 miles in 2.5 hours

divide 300 by 2.5

120 miles per hour

120 x 9 = 1080

Step-by-step explanation:

Answer:

180 sq ft

Step-by-step explanation:

12 x 15 = 180

The total amount of carpet Mrs. Ownes bought for her rectangular room of 12 ft by 15 ft is 180 sq ft.

Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

A=a\times b

Here, (a)is the length of the rectangle and (b) is the width of the rectangle

Mrs. Owens laid carpet in a rectangular room, 12 ft by 15 ft. Here, the length of the rectangular carpet for the room should be 15 ft and width should be 12 ft.

Thus, the area of the carpet is,

[tex]A=15\times12\\A=180\rm\; ft^2[/tex]

Thus, the total amount of carpet Mrs. Ownes bought for her rectangular room of 12 ft by 15 ft is 180 sq ft.

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Answer:

2 and 1/6, hope this helps :)

Answer:

The answer is 7 video games

Step-by-step explanation:

The number of video games Austin sold will be 4.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Austin started with 26 video games and sold x video games. Caleb started with 40 video games and sold three times as many video games as Austin did.

Let x be the number of video games sold and y be the number of video games left. Then the equations will be

y = 26 - x

y = 40 - 3x

From equations 1 and 2, then we have

26 - x = 40 - 3x

3x - x = 40 - 26

2x = 14

x = 4

The number of video games Austin sold will be 4.

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