if 1/2x + 6 = -x -3, what is the value of -2x?

Answer:

y = - [tex]\frac{1}{2}[/tex] x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (8, 0) ← 2 points on the line

m = [tex]\frac{0-4}{8-0}[/tex] = [tex]\frac{-4}{8}[/tex] = - [tex]\frac{1}{2}[/tex]

The line crosses the y- axis at (0, 4 ) ⇒ c = 4

y = - [tex]\frac{1}{2}[/tex] x + 4 ← equation of line L

Answer: For this equation, the value of x is - 2/3.

Step-by-step explanation:

1. Resolving the equation 2/3-4x+7/2=-9x+5/6

-4x + 9x = 5/6 - 2/3 - 7/2 (Putting the all the x values on the left)

5x = (5/6 - 4/6 -21/6)

5x = -20/6

x = - 20/6 /5 (Dividing by 5 at both sides)

x = -20/6 * 1/5

x = -4/6 = - 2/3 (Simplifying)

2. Proof of replacing x by -2/3

2/3 - 4 (-2/3) + 7/2 = -9 (-2/3) + 5/6

2/3 + 8/3 + 7/2 = 18/3 + 5/6

10/3 + 7/2 = 6 + 5/6

20 + 21 = 36 + 5 (Multiplying by 6 at both sides)

41 = 41

It means the value of -2/3 for x is correct

Answer:

[tex]x=-\frac{41}{60}[/tex]

Step-by-step explanation:

[tex]Grou. similar.terms:\\\frac{3}{4} -4x+\frac{7}{2} = -9x+\frac{5}{6} \\Find LCM (Lest Common Multiplier) and adjsut:\\[/tex]

[tex]-4x+\frac{3+14}{4} =-9x+\frac{5}{6} \\\\Subtract\\-4x+\frac{17}{4} - \frac{17}{4} =-9x+\frac{5}{6} - \frac{17}{4}\\After simplifying add\\-4x + 9x =-9x- \frac{41}{12} + 9x\\Simplify\\5x = - \frac{41}{12}\\Divide\\\frac{5x}{5} = \frac{-\frac{41}{12}}{5} \\Simplify.one.last.time\\x=-\frac{41}{60}[/tex]

Don't forget the - in front of the answer

Answer:

Step-by-step explanation:

Monthly rate:

So if we convert $2840 per month into year that would be: 2840 * 12 (that's how many months in a year) = 34,080

Weekly rate:

There are approximately 4.345  weeks per month since it sometimes changes. So, to find the wage per month: 650 * 4.345  = 2824.25. To find the yearly rate multiply it by 12. So, 2824.25 * 12 = 33,891

Hourly rate:

Yearly Salary : $35,100

$18 per hour

Answer: 1.09

Step-by-step explanation:

The answer is 16 1/6

Step-by-step explanation:

1. make both of the denominators into six : 1/2=3/6 and 2/3=4/6

2. add them all together 8+7=15, 4/6+3/6=7/6

3. make the 7/6 into a mixed number so 1 1/6 add that to the 15 so 16 1/6

Answer: 16 1/6

To add mixed numbers, the first thing you do is convert the mixed numbers into improper fractions. How?

You multiply the whole number with the denominator of the proper fraction, then you'll add the numerator.

First mixed number is 8 1/2.

So, you'll multiply 8 by 2 then add 1.

(8 × 2) + 1 = 17

Next is 7 2/3.

Repeat this process.

(7 × 3) + 2 = 23

When your done, plug in the denominator and find the LCD, since the denominators are unlike. (First find the LCM of 2 and 3, which is 6). Our improper fractions should be:

8 1/2 = 17/2 × 3/3

7 2/3 = 23/3 × 2/2

Multiply the LCD, which is 2 and 3 and you'll get:

LCD of 8 1/2 ⇒ 51/6

LCD of 7 2/3 ⇒ 46/6

Now we can add. (You DO NOT add the denominator).

51/6 + 46/6 = 97/6

Since 97/6 is an improper fraction, we must convert it into a whole number.

Divide 97/6 and you'll get 16 with a reminder of 1.

16 is the whole number.

1 is the numerator.

Hence, the answer is 16 1/6.

Answer:

22.6/62 = 0.364 is the answer

Refer to the attachment

Answer:

2

Step-by-step explanation:

The linear equation that could be used to model Li Juans auto yard is c/60 + v/50 = 1

A linear equation is in the form:

y = mx + b;

where m is the rate of change, b is the initial value of y and y, x are variables.

Let c represent the number of cars and v represent the number of vans.

Hence when it is filled to capacity:

c/60 + v/50 = 1

The linear equation that could be used to model Li Juans auto yard is c/60 + v/50 = 1

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Answer:

m∠BEC = 65°

m∠DEC = 115°

m∠DAE = 78°

m∠ECD = 40°

m∠BAD = 118°

m∠ADC = 62°

Step-by-step explanation:

m∠BEC = 65°

Opposite angles formed by intersecting lines are congruent

m∠DEC = 180 - 65 = 115°

A straight line has a degree measure of 180

m∠DAE = 78°

Opposite interior angles of two parallel lines cut by a transversal are congruent

m∠ECD = 180 - [m∠DEC + 25] = 40°

Sum of angles inside triangle ECD has a measure of 180

m∠BAD = 78 + m∠ECD = 118°

Opposite angles of a parallelogram are congruent

2(m∠BAD) + 2(m∠ADC) = 360

118 + m∠ADC = 180

m∠ADC = 62°

Sum of angles inside a parallelogram = 360°

Answer:

1. -37

2. -34

3. -14

Step-by-step explanation:

1. -25 then ++- is negative so -25-12 so add them becuase negative + negative adds  then keep the negative sign. THIS HELPS WITH EVERYTHINGB

5−8

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Answer:

510

Step-by-step explanation:

10/100 = 51

10*10/100 = 51*10

100/100 = 510

Answer:

Would be C

Step-by-step explanation:

Because they need slope intercept

Answer:

18 π ≈ 56.52

Step-by-step explanation:

The formula for the volume of a cylinder is V = π · r² · h.

This cylinder has a height (h) of 2 and a radius (r) of 3.

Therefore the volume is:

V =  π · r² · h = π · 3² · 2 = 18 π ≈ 56.52.

Answer:

6

Step-by-step explanation:

sets cannot have repeated elements. So this set only has the letters B, A, L, D, E, R which means the cardinality is 6

Answer:

Since its different experiment. Then it's permutation,

Therefore it's 20P5 = 1860480 Ways

Answer:

Step-by-step explanation:

x⁴ + x² - 20

(x² + 5)(x² - 4)

(x² + 5)(x - 2)(x + 2)

The required factor of the given expression is given as (x² + 5)(x - 2)(x + 2).

Given that,
To determine the factor of the expression, x⁴ + x² - 20.

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

Here,
Given expression,
= x⁴ + x² - 20
= x⁴ + 5x² - 4x² - 20
= x²[x² + 5] - 4 [x² + 5]
= [x² + 5][x²- 4]
Since (a² - b²) = (a + b)(a - b)
= (x² + 5)(x - 2)(x + 2)

Thus, the required factor of the given expression is given as (x² + 5)(x - 2)(x + 2).

Learn more about Factors here:

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#SPJ5

Answer: 1/12 of the cake.

Step-by-step explanation:

First, find the LCM (Least Common Multiple) of 3 and 4. The easiest way to do this is to multiply the two together. 3*4 = 12.

Now, convert each fraction to be out of twelfths. Do this by setting up a proportion. 2/3 = x/12. Cross multiply and divide. 2*12 = 24. 24/3 = 8. Therefore, 2/3 = 8/12.

Do the same for 1/4. 1/4 = x/12. Cross multiply and divide. 12*1 = 12. 12/4 = 3. Therefore, 1/4 = 3/12.

Now add these two fractions by adding the numerators and keeping the denominators the same. 8/12 + 3/12 = 11/12.

Subtract this answer from 1 (12/12). 12/12 - 11/12 = 1/12

Answer:

a) buffalo will be at 7

b) it will be -8

Step-by-step explanation:

a) because if u add - 3 + 10 it will equal 7

b) reason why is because if u substract -24 from - 16 it will be - 8

I took a test on the same thing thats why i kno it

7/20

Step-by-step explanation:

21 ÷ 3 = 7

21 - 1 = 20

7/20

Answer:

2

Step-by-step explanation:

18,16,14,12,10,8,6,4,2

Two systems of equations are equivalent if they have they have the same solution/solutions.

Answer:

x = 5

Step-by-step explanation:

5x + 5 = x + 25

subtract 5 from both sides

5x = x + 20

subtract x from both sides

4x = 20

divide both sides by 4

x= 20/4

x= 5

My ans is C

24 - 6x + 40 = 34

24+40 - 6x = 34

64 - 6x = 34

6x = 64-34

6x = 30

x = 5 ^^

Answer:

Step-by-step explanation:

V = πR²h

V = π3²6

V = 54π units³

If π = 3.14, V = 169.56 units³

Answer:

2020

Step-by-step explanation:

if it is 5 consecutive numbers, it means it needs to be 2019, 2020, 2021, 2022, 2023

it is the number in the middle.

for the first 3 numbers, it is 2019, 2020, 2021

the middle number is 2020

Answer:

D. 4.00

$4.00 will be your cost for meat for 20 sandwiches.

Answer:

136.88

Step-by-step explanation:

Subtract 356.88 - 220 = 136.88

Answer:

The answer is C

Step-by-step explanation:

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