John wants to buy a laptop that costs $1400. He already saved $800 and makes $25 a week mowing lawns. Write and solve an equation to find the number of weeks, w, he must work until he has enough money to purchase the computer.​

Answers

Answer 1

Answer: 800 - 25w = 1400

Step-by-step explanation:

What is there to edplain??

Answer 2

Answer:

800+25w=1400

Step-by-step explanation:

took the test


Related Questions

Find the limit
(calculus)

Answers

Answer:

0

Step-by-step explanation:

Step 1: Define

[tex]\lim_{x \to \infty} e^{x-x^2}[/tex]

Step 2: Substitute in infinity

[tex]\lim_{x \to \infty} e^{\infty-\infty^2}[/tex]

We know that the second exponent is always going to be bigger than the 1st exponent, so we would get a negative exponent.

[tex]\lim_{x \to \infty} e^{-\infty}[/tex]

We can simplify a negative exponent into a fraction.

[tex]\lim_{x \to \infty} \frac{1}{e^{\infty}}[/tex]

We know that if we keep plugging in larger numbers for x, the denominator is going to be infinitely big. And bigger the number we are dividing by, the smaller the entire fraction is going to be.

Therefore, we would be approaching 0.

What’s 1.2983 rounded to the nearest hundredth

Answers

1.30 :)
All you have to do is see if the number on your left is greater than 5 or not if it’s is round up 1 if not it stays the same !
Hope this helped !!!

Answer:

1.30 :)

All you have to do is see if the number on your left is greater than 5 or not if it’s is round up 1 if not it stays the same !

Hope this helped !!!

Step-by-step explanation:

Valerie runs track and field. At meets, Valerie lkes to buy protein bars, bananas and sports drinks Protein bars are $1. bananas are S0.50, and sports drinks are S2. Valerie has S10 to spend. She will spend no more than twice as much on sports drinks as bananas and at least three times as much on bananas as protein bars. Let represent the number of protein bars. represent the number of bananas. and represent the number of sports drinks that Valerie buys. Which statements are true regarding Valerie's situation? Select all that apply A: p + 0.5b + 2d < 10 B: 0.5d + b + 3p < 10. C: d < 2b. D: b > 3p. E: 2d < b. F: 3b > p

Answers

Complete Question

Valerie runs track and field. At meets, Valerie likes to buy protein bars, bananas, and sports drinks. Protein bars are $1, bananas are $0.50, and sports drinks are $2. Valerie has $10 to spend. She will spend no more than twice as much on sports drinks as bananas and at least three times as much on bananas as protein bars.

Let p represent the number of protein bars, b represent the number of bananas, and d represent the number of sports drinks that Valerie buys.

Which statements are true regarding Valerie's situation? Select all that apply A: p + 0.5b + 2d < 10 B: 0.5d + b + 3p < 10. C: d < 2b. D: b > 3p. E: 2d < b. F: 3b > p

Answer:

The statements that are true regarding Valerie's situation:

A: p + 0.5b + 2d < 10

C: d < 2b

D: b > 3p

Step-by-step explanation:

Lets represent

The number of protein bars as p.

The number of bananas as b.

The number of sports drinks that Valerie buys as d.

From the question:

We are told

Protein bars are $1

Bananas are $0.50

Sports drinks are $2.

She will spend no more than twice as much on sports drinks as bananas

d ≤ 2b = d < 2b

At least three times as much on bananas as protein bars.

b ≥ 3p = b > 3p

We are also told that:

Valerie has $10 to spend.

Hence:

$1 × p + $0.50 × b + $2 × d < $10

= p + 0.5b + 2d < 10

Therefore, the statements that are true regarding Valerie's situation:

A: p + 0.5b + 2d < 10

C: d < 2b

D: b > 3p

Given that BD is an angle bisector

Solve for m

Answers

Answer:

24 degrees

Step-by-step explanation:

since BD is an angle bisector, the given numbers are equal to each other

this means that you can write the equation as: 6x = x + 20

subtract x from both sides to move the variable to one side, this leaves you with: 5x = 20

then divide both sides by 5 to find x: x = 4

now substitute this into the value given for angle ABD: 6(4)

this gives you 24 degrees

Darren and Carl each go for a morning jog before work. Darren's jogging pace
is represented by the equation y = 5x where y is the number of miles he jogs
and x is the number of hours he jogs. Carl's pace is given by the graph.
35
28
Distance (miles)
21
14
2
3
5
Time (hours)
Choose the statement that correctly compares their unit rates.
O A. Carl's unit rate is equal to Darren's unit rate.
O B. Carl's unit rate is 2 fewer miles per hour than Darren's unit rate.
O C. Carl's unit rate is 1 more mile per hour than Darren's unit rate.
D. Carl's unit rate is 2 more miles per hour than Darren's unit rate.

Answers

Answer: d

Step-by-step explanation:

Answer:

D. Carl's unit rate is 2 more miles per hour than Darren's unit rate.

Step-by-step explanation:

The table gives the numbers of teachers and students in grades 6 to 8 at Earhart Middle School.
Grade Teachers Students
6 1 25
7 2 50
8 3 75

Which teacher-to-student ratio maintains the proportional relationship described in the table?

Teachers Students
5 125
Teachers Students
4 120
Teachers Students
4 100
Teachers Students
6 130
Teachers Students
7 125

Answers

Answer:

no one and i am doing time pass and

6 130 will be a right answer

whe it is rong i am sorry

Answer:

6 teachers, and 130 student's

Step-by-step explanation:

A company manufactures and sells x VCRs per month. If the cost and revenue equations are C(x) = 200 + 2x, R(x) = 20x − (x^2/50) , use differentials to estimate the change, ∆P, in profit when the production is increased from 100 to 101.

Answers

Answer:

ΔP  = 14

Step-by-step explanation:

Given

[tex]C(x) = 200 + 2x[/tex]

[tex]R(x) = 20x - \frac{x^2}{50}[/tex]

Required

Determine the change in profit

First, we need to determine the profit

[tex]P(x) = R(x) - C(x)[/tex]

[tex]P(x) = 20x - \frac{x^2}{50} - 200 - 2x[/tex]

Collect Like Terms

[tex]P(x) = - \frac{x^2}{50} + 20x - 2x- 200[/tex]

[tex]P(x) = - \frac{x^2}{50} + 18x- 200[/tex]

Differentiate wrt x

[tex]P'(x) = -\frac{x}{25} + 18[/tex]

When Profit increases from 100 to 101, the change becomes

ΔP  [tex]= -\frac{x}{25} + 18[/tex]Δx

Δx[tex]= (x_2 - x_1)[/tex]

Where

[tex]x_2 = 101[/tex]

[tex]x_1 = x = 100[/tex]

So, the expression: ΔP  [tex]= -\frac{x}{25} + 18[/tex]Δx becomes

ΔP  [tex]= (-\frac{x}{25} + 18)(x_2 - x_1)[/tex]

ΔP  [tex]= (-\frac{100}{25} + 18)(101 - 100)[/tex]

ΔP  [tex]= (-4+ 18)(1)[/tex]

ΔP  [tex]= (14)(1)[/tex]

ΔP  = 14

a horizontal line , such as y=4, has a slope of what

Answers

Answer:

0

Step-by-step explanation:

A horizontal line has a slope of zero and a vertical line has an undefined slope

NEED HELP ASAP Ann, Ben, and Cindy were eating strawberries. The ratio of the numbers of berries they ate is 5:5:7. If Cindy ate 30 strawberries less than Ann and Ben together, what is the total number of strawberries the three of them ate?

Answers

Answer:

170

Step-by-step explanation:

given:

Ann, Ben, and Cindy were eating strawberries.

The ratio of the numbers of berries they ate is 5:5:7.

If Cindy ate 30 strawberries less than Ann and Ben together,

find:

what is the total number of strawberries the three of them ate?

solution:

add the ratios 5 + 5 + 7 = 17

since Cindy ate 30, less than Ann and Ben together so, the equation is

7x = 5x + 5x - 30

7x - 10x = -30

x = 30/3

x = 10

ann 5 x 10 = 50

ben 5 x 10 = 50

cindy 7 x 10 = 70  

total            = 170

Answer:  170

==============================================

Explanation:

A = number Ann ate

B = number Ben ate

C = number Cindy ate

Let x be some positive whole number

Since A,B,C is in the ratio 5:5:7, this means

A = 5x

B = 5x

C = 7x

Note how A:B:C = 5x:5x:7x = 5:5:7. We divide all parts by x to simplify the ratio.

-------------------

Cindy ate 30 strawberries less than Ann and Ben, so

C = A+B-30

C = 5x+5x-30

C = 10x-30

Earlier in the last section we had C = 7x, and now we found C = 10x-30

Since we're talking about the same C value, we can equate and solve

C = 7x

10x-30 = 7x ... replace C with 10x-30

10x-7x = 30

3x = 30

x = 30/3

x = 10

------------------

With this x value, we now know that...

A = 5x = 5*10 = 50

B = 5x = 5*10 = 50

C = 7x = 7*10 = 70

Cindy's count (70) is 30 less than Ann and Ben's combined count (50+50 = 100), so that helps confirm the answer.

Further confirmation comes from 50:50:70 reducing to 5:5:7 when you divide all parts by the GCF 10.

--------------------

The last step is to add the values of A, B and C.

A+B+C = 50+50+70

A+B+C = 100+70

A+B+C = 170

---------------------

Side note: since A+B+C = 5x+5x+7x = 17x, this means that the final answer is a multiple of 17.

Write each prime factorization using exponents.
1. 2×2×2×7
2. 2×3×3
3. 7×7×7×7

Answers

1). 2³ x 7
2). 2 x 3²
3). 7⁴

The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.35°F and a standard deviation of 0.64°F. Using the empirical rule, find each approximate porcent

a. What is the approximate percentage of healthy adults with body temperatures within 3 standard deviations of the mean, or between 96.43°F and 100.27°F?

b. What is the approximate percentage of healthy adults with body temperatures between 97 71°F and 98.99°F?

a. Approximately % of healthy adults in this group have body temperatures within 3 standard deviations of the mean, or between 96.43°F and 100.27°F

(Type an integer or a decimal. Do not round)

Answers

Answer:

a) 99.97%

b) 65%

Step-by-step explanation:

• 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

• 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

• 99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

Mean of 98.35°F and a standard deviation of 0.64°F.

a. What is the approximate percentage of healthy adults with body temperatures within 3 standard deviations of the mean, or between 96.43°F and 100.27°F?

μ - 3σ

98.35 - 3(0.64)

= 96.43°F

μ + 3σ.

98.35 + 3(0.64)

= 100.27°F

The approximate percentage of healthy adults with body temperatures is 99.97%

b. What is the approximate percentage of healthy adults with body temperatures between 97 .71°F and 98.99°F?

within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

μ - σ

98.35 - (0.64)

= 97.71°F

μ + σ.

98.35 + (0.64)

= 98.99°F

Therefore, the approximate percentage of healthy adults with body temperatures between 97.71°F and 98.99°F is 65%

A table marked at ₹ 15,000 is available for ₹ 14,400. Find the discount given and the discount percentage.

Answers

Answer:  ₹ 600 and 15% discount rate i believe

Step-by-step explanation:

I need help with this

Answers

Answer: B. 8 x 10^3

Step-by-step explanation:

b. 8 x 10³

hope this helps

a bowl contains 4 yellow marbles, 5 red marbles, 1 blue marbles, and 3 green marbles. find the probabilityof the given outcome

Answers

Answer:

bowl of colorful marbels

Step-by-step explanation:

bowl+marbels

In how many ways 50 people can handshake with each other?

Answers

Answer:

My estimate  think it 1225

Step-by-step explanation:

49 / 2 * (49 + 1) = 1225

Drove 260 km using 12 liters of gas at this rate how many liters of gas would he need to drive 286km

Answers

Answer:

We calculate the amount of gas used per km and multiply it by 286

Step-by-step explanation:

If we drive for 260km and use 12 litres of gas that means that we use

[tex]\frac{12}{260}[/tex] litres per km.

Now we multiply it by 286:

[tex]\frac{12}{260} *286 = \frac{858}{65} = 13.2[/tex]

So, the answer is 13.2 litres.

The country of Honduras has a population of 8.2 million. There were 7,172 homicide deaths there in 2014.


Express the deaths per capita as a decimal rounded to 6 decimal places.


Express the deaths per capita in Scientific Notation.


Type your answer as though you were typing it into your calculator--either with "E" or "x10^" notation-- no spaces in your answer!

The United States has a population of about 320 million. If our homicide deaths were proportional to that of Honduras, how many deaths would we expect in the

Answers

Answer:

a)Express the death per capita as a decimal rounded to 6 decimal places

0.000875 death per capita

b) Express the death per capita in Scientific notation

8.75 × 10^-4 death per capita

c) 279883 deaths

Step-by-step explanation:

a) Express the death per capita as a decimal rounded to 6 decimal places

The formula for Death Per capita is given as

Number of deaths/ Total population

Measurement : 7172 homicide deaths

Total population : 8.2 millon= 8,200,000

Death per capita = 7172/8200000

Death per capita = 0.00087463414 death per capita.

Approximately to 6 decimal places

= 0.000875 death per capita.

b) Express the death per capita in Scientific notation

The death per capita = 0.000875

In Scientific notation = 8.75 × 10^-4 death per capita

c) The United States has a population of about 320 million. If our homicide deaths were proportional to that of Honduras, how many deaths would we expect in the United States due to homicides? Round to the nearest person.

Measurement : 7172 homicide deaths

Total population : 8.2 millon= 8,200,000

The United States has a population of about 320 million

Death per capita in Honduras : Death per capita in United States

7172/8200000 : x/320,000,000

7172/8,200,000 = x/320,000,000

Cross Multiply

7172 × 320,000,000 = 8,200,000 × x

x = 7172 × 320,000,000/8,200,000

x = 279882.926829 deaths

Approximately to the nearest person = 279883 deaths

1 5/16 divided by 7/12

Answers

2.25 this is the correct answer

10a^2b^0 for a=–3, b=–8

Answers

Answer:

90

Step-by-step explanation:

Substitute a = -3 and b = -8 to the expression 10a²b⁰:

10(-3)²(-8)⁰ = 10(9)(1) = 90

a⁰ = 1 for any real number

Answer:

90

Step-by-step explanation:

10a^2b^0

Let a=–3, b=–8

10 (-3)^2 ( -8)^0

10 * 9 *1

90

I don’t understand what this means

Answers

Answer:

This means that if you have that amount of those and you do whatever the rest of the question is.

Step-by-step explanation:

Answer:

120 different ways

Step-by-step explanation:

So Fundamental Counting Principle helps understand probability. So for this question, they are asking how many different ways there are.

To do that, we have to split into sets.

Set A: 4 Theme Parks

Set B: 6 Passes

Set C: 5 Food Options

Now we have to multiply the sets.

4 x 6 x 5 = 120

Therefore, the answer is 120 different ways.

Dean walked from the library to the mall. For the
first 12 minutes, he walked at a speed of 80
m/min, but then he slowed his speed to 68
m/min for next 7 minutes. If he was still 130 m
away from the mall, what was the distance
between the library and the mall?

Answers

905 mph because of the 7 minutes

Simplest form of 14/63

Answers

Answer:

2/9

Step-by-step explanation:

Answer:

2/9

Step-by-step explanation:

Am gonna give branliest!!!

Answers

the answer is B. -12°f

Make 3 1/2 cakes in 20 minutes how many cakes can you make in two hours

Answers

Answer:

17

Step-by-step explanation:

3 1/2+3 1/2=5 which is 40 min

5=40mins

5+3 1/2=81/2

1 hour=8 1/12

8 1/2+8 1/2= 17

17 in two hours

2x2 + x + 5 = 0 i don’t know how to do this please help

Answers

9514 1404 393

Answer:

  x = -0.25+√2.4375i or -0.25-√2.4375i

Step-by-step explanation:

The quadratic formula works for this. The quadratic equation ...

  ax² +bx +c = 0

has solutions given by the quadratic formula:

  [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Your equation ...

  2x² +x +5 = 0

has coefficients a=2, b=1, c=5, so the quadratic formula tells you the solutions are ...

  [tex]x=\dfrac{-1\pm\sqrt{1^2-4\cdot2\cdot5}}{2\cdot2}=\dfrac{-1\pm\sqrt{-39}}{4}\\\\x=\left\{-\dfrac{1}{4}+\dfrac{\sqrt{39}}{4}i, -\dfrac{1}{4}-\dfrac{\sqrt{39}}{4}i\right\}[/tex]

The decimal equivalents are ...

  x = -0.25+√2.4375i   or   -0.25-√2.4375i . . . . . . the 'i' is outside the radical


Store B sells a set for $27.00 and offers a 20% discount

Answers

Answer:

22.50

and you can pleasent do 22.50

Step-by-step explanation:

¾ divid ⅖=n
Pleas answer i need a answer

Answers

15/8 or 1 7/8 if u need the decimals 1.875

How long does it take for the baseball to reach its maximum height? (2)
b. What was the initial height of the ball? (2)


form A : h(t)= -16t^2 + 96t +7
form b: -16(t-3)^2 +151


help please

Answers

Answer: ha no way have the same question

Step-by-step explanation:

Question 1: The director of a green energy company is interested in comparing two different methods of installing solar light panels. An experiment is conducted with 31 technicians using the old method and the other 46 technicians using the new method. For the 31 technicians using the old method, the average time was 525 minutes with 47.7 standard deviation. For the 46 technicians using the new method, the average time was 520 minutes with 48.2 standard deviation. Conduct an analysis to determine whether there is a difference in the average time to complete the installation of the solar panels. Provide the test statistic value.


Question 2:

The director of a green energy company is interested in comparing two different methods of installing solar light panels. An experiment is conducted with 39 technicians using the old method and the other 55 technicians using the new method.

For the 39 technicians using the old method, the average time was 582 minutes with 63.8 standard deviation.
For the 55 technicians using the new method, the average time was 542 minutes with 97.8 standard deviation.
Conduct an analysis to determine whether there is a difference in the average time to complete the installation of the solar panels. Provide the degrees of freedom.

Answers

Answer:

Question 1  

The test statistics is  [tex]t = 0.44[/tex]

The decision rule is

 Fail to reject the null hypothesis

The conclusion

There is no  sufficient evidence to show that there is a difference in the average time to complete the installation of the solar panels

Question 2

The degree of freedom is  [tex]df = 92 [/tex]

The decision rule is

Reject the null hypothesis  

The conclusion

There is  sufficient evidence to show that there is a difference in the average time to complete the installation of the solar panels

Explanation:

Considering Question 1

Here we are told to provide the test statistics

From the question we are told that

  The first sample size is  [tex]n_1 = 31[/tex]

  The second  sample size is  [tex]n_ 2 =  46[/tex]

   The first sample mean is  [tex]\= x_1 = 525 \ minutes[/tex]

    The first standard deviation is  [tex]\sigma_1 =  47.7[/tex]

    The second sample mean is  [tex]\= x_2 = 520 \ minutes[/tex]

   The second standard deviation is  [tex]\sigma_2 =  48.2[/tex]

The null hypothesis  is  [tex]H_o :  \mu_1 - \mu_2 = 0[/tex]

The alternative hypothesis is  [tex]H_a :  \mu_1 - \mu_2 \ne 0[/tex]

Generally the degree of freedom is mathematically represented as

      [tex]df = n_1 + n_2  -2[/tex]

=>    [tex]df = 31 + 46  -2[/tex]

=>    [tex]df = 75 [/tex]

Generally the test statistics is mathematically represented as

 [tex]t =  \frac{(\= x_1 - \= x_2 )-0}{ \sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2} } }[/tex]

=> [tex]t =  \frac{( 525-  520 )-0}{ \sqrt{\frac{47.7^2}{31} + \frac{48.2^2}{46} } }[/tex]

=> [tex]t = 0.44[/tex]

Let assume that the level of confidence is  [tex]\alpha = 0.05[/tex]

Generally the probability of t at a degree of freedom of  is  [tex]df = 75[/tex]

    [tex]P(t > 0.44 ) = 0.33060124 [/tex]

Generally the p-value is mathematically represented as

   [tex]p-value  =  2 *  P(t > 2.398)[/tex]

=>   [tex]p-value  =   2 * 0.33060124[/tex]

=>   [tex]p-value  =  0.66120[/tex]      

From the value obtain we see that [tex]p-value  >  \alpha[/tex] hence we fail to reject the null hypothesis

The conclusion is that there is no  sufficient evidence to show that there is a difference in the average time to complete the installation of the solar panels

Considering Question 2

Here we are told to provide the degree of freedom

From the question we are told

    The first sample size is  [tex]n_1 = 39[/tex]

     The first sample mean is  [tex]\= x_1 = 582 \ minutes[/tex]

     The first standard deviation is  [tex]\sigma_2 =  63.8[/tex]

     The second sample size is  [tex]n_ 2 =  55[/tex]

     The second sample mean is  [tex]\= x_2 = 542 \ minutes[/tex]

     The second standard deviation is  [tex]\sigma_2 =  97.8 [/tex]

The null hypothesis  is  [tex]H_o :  \mu_1 - \mu_2 = 0[/tex]

The alternative hypothesis is  [tex]H_a :  \mu_1 - \mu_2 \ne 0[/tex]

Generally the degree of freedom is mathematically represented as

      [tex]df = n_1 + n_2  -2[/tex]

=>    [tex]df = 39 + 55  -2[/tex]

=>    [tex]df = 92 [/tex]

Generally the test statistics is mathematically represented as

 [tex]t =  \frac{(\= x_1 - \= x_2 )-0}{ \sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2} } }[/tex]

=> [tex]t =  \frac{( 582 -  542 )-0}{ \sqrt{\frac{63.8^2}{39} + \frac{97.8^2}{55} } }[/tex]      

=>  [tex]t = 2.398[/tex]

Let assume that the level of confidence is  [tex]\alpha = 0.05[/tex]

Generally the probability of t at a degree of freedom of  is  [tex]df = 92 [/tex]

    [tex]P(t > 2.398 ) = 0.00925214[/tex]

Generally the p-value is mathematically represented as

   [tex]p-value  =  2 *  P(t > 2.398)[/tex]

=>   [tex]p-value  =   2 * 0.00925214[/tex]

=>   [tex]p-value  =  0.0185[/tex]      

From the value obtain we see that [tex]p-value  <  \alpha[/tex] hence we reject the null hypothesis

The conclusion is that there is  sufficient evidence to show that there is a difference in the average time to complete the installation of the solar panels

Select the values that correctly complete the problem. a = b = c = d = e =​

Answers

Answer:  2/3 = b/ac = d/e

Step-by-step explanation:

This is all I got if I got it right. Is this one of your answers?

Answer:

a= 2

b=4

c=3

d=2

e=3

Step-by-step explanation:

i hope this helps.

Other Questions
Which statement describes the inverse of m(x) = x^2 17x?a. The domain restriction x StartFraction 17 Over 2 EndFraction results in m1(x) =StartFraction 17 Over 2 EndFraction minus StartRoot x + StartFraction 289 Over 4 EndFraction EndRoot .b. The domain restriction x StartFraction 17 Over 2 EndFraction results in m1(x) =StartFraction 17 Over 2 EndFraction + StartRoot x + StartFraction 289 Over 4 EndFraction EndRoot .c. The domain restriction x Negative StartFraction 17 Over 2 EndFraction results in m1(x) =StartFraction 17 Over 2 EndFraction minus StartRoot x + StartFraction 289 Over 4 EndFraction EndRoot .d.The domain restriction x Negative StartFraction 17 Over 2 EndFraction results in m1(x) =StartFraction 17 Over 2 EndFraction + StartRoot x + StartFraction 289 Over 4 EndFraction EndRoot . what is infographic? Jim has decided to write a paper about the importance of improving the environment.which definition might he include? pleas help ill give brainiest In ancient Egypt, the main duty of the vizier was to Help me do this please ben payed $900 for a sofa. The price of the sofa Juana was 2/3 the price ben payed. How much did Juana pay for her sofa? Using a roof calculator or rafter length guidebook, calculate the theoretical length of the common rafters for a gable roof on a building which is 12 wide by 36 long, with a slope of 5/12. need help with a question What right was Dred Scott denied in his famous Supreme Court case?right of citizenshipright to free speechright of petitionright to vote even number less than 12 What is the slope of the line whose equation is 12=4x-6y? What light is this red leaf NOT absorbing? 4. Write an equation for the table in slope intercept form HELP! Will be giving branliest!!!!!! montha28. The driving distance from Boston, MA,to Colorado Springs, CO, and back againis 4,084 miles. A salesperson has alreadymade the trip back and forth twice. Asalesperson may drive up to 12,500 mileseach month. Can she make the trip againand remain below the monthly milesallowed? If so, how many miles will shehave left for the month?Tonic 2 Ilesson 3-8 a list of social traditions prevaling in our society What role does individualism play in American society? Reflection: Answer the questions below in complete sentences to reflect on the essential question and deepen your understanding. By exploring how the idea of individualism in American culture may not align with many of the beliefs and practices of its citizens, how can America and its society continue to flourish with the understanding that conformity plays an influential role in our own individualism? What does conforming mean to you? How can you maintain your individuality when conforming? Solve the system, by elimination please show all the steps!-2x+2y+3z=0-2x-y+z=-32x+3y+3z=5 all you need is in the photo