What is the slope and equation of a horizontal line ?

Answer:

j = 6

Step-by-step explanation:

1. What one needs to know

-Slope-intercept form

The formula of a line in slope-intercept form is;

y = mx + b

Where "m" is the slope. and "b" is the y-intercept.

2. Approach

The slope of the line is given. One has to solve for the y-intercept. Since a point on the line is given, one simply has to substitute in the point on the line and solve for b. The one substitutes in the other point with the unknown in it. One will then solve to find the unknown.

3. Finding "b"

It is given that this line has a slope of [tex]\frac{1}{5}[/tex], therefore, the equation of the line with the slope would look something like this;

y = [tex]\frac{1}{5}[/tex]x  + b

It is given that (-4, -8) is on the line, substitute this point in;

-8 = [tex]\frac{1}{5}[/tex](-4) + b

Solve;

-8 = [tex]\frac{1}{5}[/tex](-4) + b

-8 = - 0.8 + b

-7.2 = b

The complete formula of this line is;

y = 0.2(x) - 7.2

( in decimals )

4. Solve of "j"

Point (j, -6) is on this line, substitute it into the formula

y = 0.2(x) - 7.2

-6 = 0.2(j) - 7.2

Inverse operations;

-6 = 0.2(j) - 7.2

+7.2          +7.2

1.2 = 0.2(j)

/0.2   /0.2

6 = j

Answer:

x = - 0.74

Step-by-step explanation:

Answer:

$695.94

Step-by-step explanation:

25% of 856 = 214

6.3% of 856 = 53.928

856 + 53.928 = 909.928

909.928 - 214 = 695.928 about 695.94

Answer:

695.93

Step-by-step explanation:

75% of 856 is 642

642 + 53.93 = 695.93

6.3 = 53.93

Answer:

4%

Step-by-step explanation:

I added a screenshot of work, hopefully this helps you!

The difference in the percentage of concert attendees and expected attendees for both nights combined is 4%.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

Given that,

Number of  audience attendants on the first and second night = 6,000

Let's say the excepted number of the audience on the first night was x then,

20% higher than x ⇒

1.2x = 6000

x = 5000

Error = 6000 - 5000 = 1000

Let's say  the excepted number of the audience on the second night was x then,

20% lower than x ⇒

0.8x = 6000

x = 7500

Error = 7500 - 6000 = 1500

Combined expectation = 5000 + 7500 = 12500

Percentage = (1500 - 1000)/12500

Percentage = 0.04 → 4%

Hence "The difference in the percentage of concert attendees and expected attendees for both nights combined is 4%".

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Answer:

store one

Step-by-step explanation:

Store One:

$720(0.50)=$360

$720-$360=$360

Store Two:

$720(0.30)=$216

$720-$216=$504

$504(0.20)=$100.8

$504-$100.8=$403.2

Answer:

$616 in debt

Step-by-step explanation:

5.5% is equal to 0.055 so you multiply that by $1400 to get $77.

$77 is the interest rate.

You then multiply $77 by 8 months.

Answer:

350 he wants 100 so if he withdraws 15 a week for chickfala he would maybe need to get chickfala every 2 weeks?

Step-by-step explanation:

Answer:

$3.8

Step-by-step explanation:

What is the cost of a medium drink?

Let medium drinks = x

Large popcorn = y

At the movies, a couple bought 2 medium drinks and a large popcorn for $13.85.

2x + y = 13.85...Equation 1

y = 13.85 - 2x

At the same theater, a family bought 3 medium drinks and 2 large popcorns for a total of $23.90.

3x + 2y = 23.90.... Equation 2

Substitute y = 13.85 - 2x

3x + 2(13.85 -2x) = 23.90

3x + 27.7 - 4x = 23.90

3x - 4x = 23.90 - 27.7

-x = -3.8

x = $3.8

Since x = medium drink, the cost of a medium drink = $3.8

Answer:

D

Step-by-step explanation:

You have to multiply the numerator and denominator and conjugate

Answer:

Choice 3: [tex]\sqrt{2}[/tex]

Step-by-step explanation:

The first thing is that you have to break the √10. The only way you can break it is to make it into a 5 and a √2. So now it should look like this [tex]\frac{5}{5\sqrt{2}}[/tex]. Then we will divide the 5 by 5 and that'll become 1, so we are left with a [tex]\sqrt{2}[/tex] and that's it.

Answer: I believe it’s 300

Step-by-step explanation:

Answer:

[tex]\boxed{x = 4~~and~~y = -2}[/tex]

Step-by-step explanation:

3x + 5y = 2 (times 5) 15x + 25y = 10

5x + 8y = 4 (times 3) 15x + 24y = 12

.

15x + 25y = 10

15x + 24y = 12    

y = -2

.

Substitute the value of y to one of equations

3x + 5y = 2

3x + 5(-2) = 2

3x - 10 = 2

3x = 2 + 10

3x = 12

[tex]x = \frac{12}{3}[/tex]

x = 4

Answer:

i hope tula does some cool shredding bro but until then add an attachment

Step-by-step explanation:

Answer:

an infinite number of points

A line can not be a solution of a system of two linear inequalities.

A system of inequalities is a set of two or more inequalities in one or more variables. Systems of inequalities are used when a problem requires a range of solutions, and there is more than one constraint on those solutions.

Given that, a system of inequalities,

We know, system of inequalities may have zero, one or many solutions, zero solution when there is no ordered pair which satisfies both the inequality, one solution is when only one ordered pair is satisfying the inequalities and infinite number of solutions when solution is shaded region of graph which contain all the possible solution to the inequality.

But a line can not be the solution in any way.

Hence, a line is not the solution of the system of inequality.

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Answer:

1 1/3 bags of chocolate chips

Step-by-step explanation:

If Alana has 2 1/4 bags of chocolate chips that she wants to use in 3 batches of chocolate chip cookies, then we can say;

2 1/4 bags of cookies = 3 batches of chips

To determine how much of the chocolate chips will she use in each batch of cookies, we can say;

1 bag of cookies = x batches of chips

Equating both expressions

2 1/4 bags of cookies = 3 batches of chips

1 bag of cookies = x batches of chips

Cross multiply

2 1/4 x = 3

9/4 x = 3

9x/4 = 3

9x = 12

x = 12/9

x = 4/3

x = 1 1/3

Hence Alana will need 1 1/3 bags of chocolate chips

Answer:

I think it is D

Step-by-step explanation:

Answer:

i actually think its c or b

Answer:

2.39g + 0.59b = 15

Step-by-step explanation:

Algebraic Expressions

Let:

g = pounds of grapes

b = pounds of bananas

Since grapes cost $2.39 per pound, g pounds of grapes cost 2.39g dollars.

Since bananas cost $0.59 per pound, b pounds of bananas cost 0.59b dollars.

The total cost of fruits is:

C = 2.39g + 0.59b

And this cost is equal to $15:

2.39g + 0.59b = 15

This is the equation that relates the costs of the fruits. If another condition was given, then we could find how many pounds of each fruit is to be purchased.

Answer:

See answers below

Step-by-step explanation:

The Bisector Angle Theorem basically states that if a bisector cuts the middle of an angle, the two angles that it creates will be equal to each other.

Therefore:

#7 -> x=38

#8 -> x=144

#9 -> 2x=84 -> x=42

#10 -> x+3=30 -> x=27

Answer:

Solution graph is attached in the answer area.

And one possible solution is (9, 2).

9 number of dimes and 2 number of nickels.

Step-by-step explanation:

Given that:

Number of dimes = [tex]a[/tex]

Number of nickels = [tex]y[/tex]

Total number of coins are at most 12 OR total number of coins are lesser than or equal to 12.

i.e. the inequality can be written as:

[tex]a+y \leq 12[/tex] ...... (1)

One dime is worth 10 cents or $0.10.

[tex]a[/tex] number of dimes are worth $0.10[tex]a[/tex].

One nickel is worth 5 cents or $0.05.

[tex]y[/tex] number of nickels are worth $0.05[tex]y[/tex].

Second inequality can be written as:

[tex]0.10a + 0.05 \ge 0.85[/tex]

OR

[tex]2a+y\ge17[/tex] ...... (2)

[tex]a \ge 0, y \ge 0[/tex] ...... (3)

When we graphically represent the inequalities, the graph attached in the answer area represents the answer.

One solution is (9, 2).

9 number of dimes and 2 number of nickels.

Answer:

the answer is b

Answer:

48'11'' or 587''

Step-by-step explanation:

First convert to inches

5ft= 12 times 5 = 60 then plus 6=66in.= Jen's height

The ratio of the Jen height to Jen's shadow heightis 5'6'' : 9' which is equal to 66in.:108in.

To find the ratio we do 108/66 = 1.636...

Then we do 80' which is equal to 960"

Lastly we do 960/1.636... to get 586.797in for the height of the tree

48'11'' or 587''

Answer:

A) y = 13x

B) Slope is 13, intercept is 0

Step-by-step explanation:

Answer:

y = 13x

The slope is 13

The y intercept is 0

Step-by-step explanation:

Since he gets $13 per hour, his pay can be represented by 13x, as x is the number of hours.

To create the equation, set this equal to y, as it represents his total pay.

So, the equation is y = 13x.

Using the equation y = mx + b, we can find the slope (m) and the y intercept (b)

Since this equation has 13 as the coefficient, the slope is 13. There is also no b value since nothing is being added to 13x, so the y intercept is 0.

Answer:

[tex]x = 6[/tex]

Step-by-step explanation:

Given

Let y represent the number of meatballs in total and x represents the number of plates.

[tex]y = 30[/tex]

[tex]Rate = 5[/tex] per plate

Required

Determine the value of x

To solve for x, we make use of the following expression.

[tex]y = Rate * x[/tex]

Substitute values for y and Rate

[tex]30 = 5 * x[/tex]

[tex]30 = 5 x[/tex]

Divide through by 5

[tex]30/5 = 5 x/5[/tex]

[tex]6 = x[/tex]

[tex]x = 6[/tex]

Hence, number of plates is 6

Answer:

f(x) = [tex]\frac{-h(x) + 7}{4}[/tex]

Step-by-step explanation:

h(x) is defined by the formula,

h(x) = -4f(x) + 7

If the graph attached is of the function 'h' and we have to find the function 'f',

h(x) - 7 = -4f(x)

4.f(x) = -h(x) + 7

f(x) = [tex]\frac{-h(x) + 7}{4}[/tex]

Therefore, function 'f' will be defined by,

f(x) = [tex]\frac{-h(x) + 7}{4}[/tex]

Answer:

$109.96

Step-by-step explanation:

Using the data from the table we need to add all of the transaction amounts together in order to calculate the final balance amount at the end of the first month since all of the transactions listed in the table are from the same month. (negative values cancel out the addition and instead subtract from the total)

100 + (-12.25) + 25.82 + 14.95 + (-18.56) = 109.96

Assuming that the initial account balance at the beginning of the month was $0 then the account balance at the end of the month would be $109.96

Answer:

I would love to help you, but there are no photos nor links.

Step-by-step explanation:

Have a great day!

Answer:

87.5$ since 25% is 1/4 87.5 is 1/4

Step-by-step explanation:

Answer:

$0.04/oz

Step-by-step explanation:

If the question is the unit price per ounce, then is it

$1.28 / 32 oz = $0.04/oz