What is the slope of the line that passes through the points (6, 4) and (3,8)?

Answer:

x -3y = - 3

Step-by-step explanation:

Slope of line m = (0 -1 )/(-3 - 0) = 1/3

y - intercept b = 1

Equation of line in slope-intercept form is given as:

y = mx + b

Plugging m = 1/3 and b = 1 in the above equation, we find:

y = 1/3 x + 1

-> 3y = x + 3

-> x -3y = - 3

This is the required equation of line.

Answer:

a. 1/27 b.3 1/2

Step-by-step explanation:

a.1/3*1/3*1/3=1/(3^3)=1/27

b.2 1/3*1 1/2*1= 3 1/2

Answer:

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

There are 8 options, are 3 of them are ones. This means there is a 3 in 8, or 3/8 chance of spinning a one.

Answer:

9.

4= length A

3= width B

B. The volume is 72

Step-by-step explanation:

I got 72 by making the whole shape into 2 different shapes and finding the volume of those first. I am not sure if this is correct but I hope it is and I hope this helps! :)

Answer:

D

Step-by-step explanation:

just multiply the three over four inches with seven and a half to get the accurate measurements

Answer:

59°

Step-by-step explanation:

The maximum temperature is just the y-coordinate of the uppermost point on the graph, which is (6 hr, 59°). Hence, it is 59°.

Answer:

Hey there!

CarMart's rate of sales is 11 cars per day.

Winston's rate of sales is 10 cars per day.

Compared with CarMart, Winston is selling fewer cars per day.

Compared with CarMart, Winston started with 2 fewer cars.

Let me know if this helps :)

Answer:

CarMart's rate of sales is 11 cars in a day.

Winston's rate of sales is 10 cars in a day.

Compared with CarMart, Winston is selling less cars in a day.

Compared with CarMart, Winston started with two fewer cars.

Step-by-step explanation:

Answer:

The answer is 6 1/3 divided by 2 which is 3 1/6

Step-by-step explanation:

Answer:

it would be 3 1/2 as a fraction

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

We can solve for H by isolating it on one side of the equation, as follows:

J/H - I/H = G

Taking H as the common denominator:

(J - I)/H = G

Multiplying both sides by H:

J - I = GH

Adding I to both sides:

J = GH + I

Dividing both sides by G:

H = (J - I)/G

So the answer is

(A)

H = (J - I)/G.

Answer:   A

Step-by-step explanation:

\(\frac{J}{H} = G + \frac{I}{H}\)                >Since you are solving for H bring I/H to the other side

                                   by subtracting I/H from both sides

\(\frac{J}{H}- \frac{I}{H} = G\)               >There is a common denominator so you can

                                   combine the fractions

\(\frac{J-I}{H} = G\)                   >Multiply both sides by H or cross multiply whichever

                                  way your mind things about how to get H on top

\(J-I = G(H)\)           >Divide both sides by G

\(\frac{J-I}{G} = H\)                   >Answer is A

Answer:

Step-by-step explanation:

Nope Because it is so-pose to be 200

Step-by-step explanation:

Let's assume the amount Mackey initially invested in the 6% account is x dollars.

According to the given information, Mackey invested $1000 more than x in the 8.5% account, which means she invested (x + $1000) dollars in that account.

The total interest earned from the 6% account would be 0.06x dollars, and the total interest earned from the 8.5% account would be 0.085(x + $1000) dollars.

The total interest earned in the year is given as $737.50, so we can set up the equation:

0.06x + 0.085(x + $1000) = $737.50

Simplifying the equation:

0.06x + 0.085x + 0.085($1000) = $737.50

Combining like terms:

0.145x + $85 = $737.50

Subtracting $85 from both sides:

0.145x = $737.50 - $85

0.145x = $652.50

Dividing both sides by 0.145:

x = $652.50 / 0.145

x ≈ $4500

Therefore, Mackey initially invested approximately $4500 in the 6% account, and she invested $1000 more, which means she invested a total of $5500.

$4500

$4500

$4500

$4500

Answer:

Where are the expressions? I can't solve it for you if you don't have the expressions down.

Answer:

y = 5

Step-by-step explanation:

Ok so you need to move y to its own spot so either on the right or left of the equation. BUT i recommend leaving it and instead moving -10 to the other side. REMEMBER when you move a number to the other side of the equation you change its value so instead of -10 it will become +10. so you will get 10-5=y so 5=y, if you want the y to be on the other side flip them around -y=-5(since you switched them you need to make them minus, or plus if the number was originally negative) SINCE you have minuses on both sides you can cancel them out and you will be left with y=5.

Why you need to reorder:

you need to reorder to find Y there is no way you can find Y without reordering. When you are reordering remember that Y has to be by itself in one side of the equation.  

Answer:

H. 95°

Step-by-step explanation:

m∠BGC is 10° smaller than m∠CGD, which means that m∠BGC is x° - 10°

m∠DGE is 25° more than m∠EGF, which means that m∠DGE is x° + 25°

The sum of all angles in a placement like this will always equal 360°

So we put all the measures of all angles on one side of thee equation and set it equal to 360*

x° + x° - 10° + 2x° + 25° + 2x° + 3x° + 30° = 360°

After combining like terms we get 9x° + 45° = 360°

After some algebra we get x = 35°

Now at the start we said that m∠DGE is x + 25°

Plug in 35° for x and we get 35° + 25°

The final answer is m∠DGE = 95°

Edit: Sorry if my answer looks a bit confusing. This is actually my first answer on Brainly so I'm quite new to this experience.

Answer:

$2.50

Step-by-step explanation:

Let's set up a proportion using the following setup.

price / pens = price / pens

We know that it costs $4.00 for 8 pens.

$4.00 / 8 pens = price / pens

We don't know how much it costs for 5 pens. Therefore, we can say it costs $x for 5 pens.

$4.00 / 8 pens = $x / 5 pens

4/8=x/5

We want to solve for x (the cost for 5 pens). Therefore, we must get x by itself on one side of the equation. x is being divided by 5. The inverse of division is multiplication, so multiply both sides of the equation by 5.

5*(4/8)=(x/5)*5

5*(4/8)=x

5*0.5=x

2.5=x

x= $2.50

Ivan should pay $2.50 for 5 pens.

Answer:

4.00

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Find the area of the room by multiplying the length by the width which would be 12 x (12x2/3)

you would then divide the area of the room by the area of a tile which would be (3/2 x 3/2)

answer: C. 12(12 x 2/3) / ( 3/2 x 3/2)

Answer: Answer: C or 12 ( 12 x 2/3) /  (3/2 x 3/2)

Answer

x=14

Explanation

3x/-8=-21/4

Simplify the equation using cross-multiplication

12x=168

Divide both sides of the equation by 12

x=14

Answer:

it's Zac Efron for sure, Leonardo DiCaprio is just not the same...

Answer: B (population is total number of people who go to the mall, and sample is first 75 people at the mall)

Step-by-step explanation:

The question is only talking about the people who go to the mall (population), but the sample is specifically the first 75 people. This is because the survey was only asked to these random 75, so it is the sample.

Answer: K = -2J + 24

Step-by-step explanation:

24 is the intercept. The slope is -2.

Answer:

Step-by-step explanation:

Sindy paid $5.44 in sales tax, and her total price was $73.44.

Sales Tax:  68 x .08= 5.44

Final Price:  68 + 5.44= 73.44

Answer:

To find sales tax, you need to find the percent of;

$68.00 * 8%

$68.00 * 0.08

= $5.44

$5.44 is the sales tax

Add the sales tax to the original amount:

$68.00 + $5.44 = $73.44

So the final price including tax is equal to $73.44.

Answer:

5463

Simplify ————

20

Equation at the end of step 1 :

5 5463

k - ((— • (f - 32)) + ————) = 0

9 20

Step 2 :

5

Simplify —

9

Equation at the end of step 2 :

5 5463

k - ((— • (f - 32)) + ————) = 0

9 20

Step 3 :

Equation at the end of step 3 :

5 • (f - 32) 5463

k - (———————————— + ————) = 0

9 20

Step 4 :

Calculating the Least Common Multiple :

4.1 Find the Least Common Multiple

The left denominator is : 9

The right denominator is : 20

Number of times each prime factor

appears in the factorization of:

Prime

Factor Left

Denominator Right

Denominator L.C.M = Max

{Left,Right}

3 2 0 2

2 0 2 2

5 0 1 1

Product of all

Prime Factors 9 20 180

Least Common Multiple:

180

Calculating Multipliers :

4.2 Calculate multipliers for the two fractions

Denote the Least Common Multiple by L.C.M

Denote the Left Multiplier by Left_M

Denote the Right Multiplier by Right_M

Denote the Left Deniminator by L_Deno

Denote the Right Multiplier by R_Deno

Left_M = L.C.M / L_Deno = 20

Right_M = L.C.M / R_Deno = 9

Making Equivalent Fractions :

4.3 Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

L. Mult. • L. Num. 5 • (f-32) • 20

—————————————————— = ———————————————

L.C.M 180

R. Mult. • R. Num. 5463 • 9

—————————————————— = ————————

L.C.M 180

Adding fractions that have a common denominator :

4.4 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

5 • (f-32) • 20 + 5463 • 9 100f + 45967

—————————————————————————— = ————————————

180 180

Equation at the end of step 4 :

(100f + 45967)

k - —————————————— = 0

180

Step 5 :

Rewriting the whole as an Equivalent Fraction :

5.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using 180 as the denominator :

k k • 180

k = — = ———————

1 180

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

5.2 Adding up the two equivalent fractions

k • 180 - ((100f+45967)) 180k - 100f - 45967

———————————————————————— = ———————————————————

180 180

Equation at the end of step 5 :

180k - 100f - 45967

——————————————————— = 0

180

Step 6 :

When a fraction equals zero :

6.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

180k-100f-45967

——————————————— • 180 = 0 • 180

180

Now, on the left hand side, the 180 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

180k-100f-45967 = 0

Equation of a Straight Line

6.2 Solve 180k-100f-45967 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 180k-100f-45967 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when k = 0 the value of f is 45967/-100 so this line "cuts" the f axis at f=-459.67000

f-intercept = 45967/-100 = -459.67000

Calculate the X-Intercept :

When f = 0 the value of k is 45967/180 Our line therefore "cuts" the k axis at k=255.37222

k-intercept = 45967/180 = 255.37222

Calculate the Slope :

Slope is defined as the change in f divided by the change in k. We note that for k=0, the value of f is -459.670 and for k=2.000, the value of f is -456.070. So, for a change of 2.000 in k (The change in k is sometimes referred to as "RUN") we get a change of -456.070 - (-459.670) = 3.600 in f. (The change in f is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 3.600/2.000 = 1.800

Geometric figure: Straight Line

Slope = 3.600/2.000 = 1.800

k-intercept = 45967/180 = 255.37222

f-intercept = 45967/-100 = -459.67000

Step-by-step explanation:

hope this helps

Answer:

What type of math this is text me back!

Step-by-step explanation:

Answer:

40) 1/2g^3=24g+4

42) g^2=g-10

46) 54 quarters

46) a- The common factor is 5.

b- ???

c- on your own

Step-by-step explanation:

ez

Answer: 2

Step-by-step explanation:

2/8=0.25

Answer:

16 can be divided evenly by 1,2,4,8,16

Step-by-step explanation:

:)

Answer:

{-9,-8,-7,-6,-5,-4} [ List method ]

or

{x: x ε Z where x>-10 and x<-3}      [Set builder form]

Step-by-step explanation:

Z represents Integer

The numbers are -9,-8,-7,-6,-5,-4. [ list method ]

The set of all numbers greater than -10 and less than -3 are represented in set-builder notation as {x: x ∈ Z⁻, -10 < x < -3} and the set of numbers are

The set notation consists of symbols like ': - such that', '∈ - belongs to', ' <, >, ≤, ≥', and all these are enclosed in flower braces. The Capital letter that is used in this represents the category or the set to which the given values are related. A variable is used for representing the given set of data values.

It is given the set of numbers that are greater than -10 and less than -3.

Since they are negative integers, so all the required numbers also belong to the same category of numbers.

So, it is represented by Z⁻

Then, the set builder notation is

{x: x ∈ Z⁻, -10 < x < -3} and

The set is {-9, -8, -7, -6, -5, -4}

Learn more about the set-builder notation of numbers here:

https://brainly.com/question/24462379

#SPJ2

Answer:

The solution is:

a. -18

b. -18

c. 24

d. 0

e. -4

4. 4

Step-by-step explanation:

Before we get into the solution, we remember the formula first, namely:

Addition

• (-) + (-) = (-)

• (+) + (+) = (+)

Subtraction

• (+) - (+) = can (-) and (+)

• (+) - (-) = (+)

Multiplication

• (-) x (-) = (+)

• (+) x (-) = (-)

Division

• (-) : (-) = (+)

• (+) : (-) = (-)

Solution:

a. 6(-3) = -18 ((+) × (-) = (-))

b. -6(3) = -18 ((-) × (+) = (-))

c. (-8)(-3) = 24 ((-) × (-) = (+))

d. -8(0) = 0 (whatever the number, if multiplied by 0 the result is still 0)

e. -20÷5 = -4 ((-) ÷ (+) = (-))

f. -36÷(-9) = 4 ((-) ÷ (-) = (+))

Answer: 62.8in

Step-by-step explanation:

The formula for circumference is C=2πr. Put the values of 10 in for r and 3.14 in for pi, and you get an equation that looks like C=2(3.14)(10). Solving this equation gets you 62.8.

Answer:

62.8

Step-by-step explanation:

Circumference=2rpi

c=2*10*pi

c=20*pi

c=20*3.14

c=62.8