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Answer:

1/4

Step-by-step explanation:

6/24 = 1/4

Answer:

[tex] \frac{1}{2} c > - 1[/tex]

[tex]c > - 1 \div \frac{1}{2} [/tex]

[tex]c > - 1 \times 2[/tex]

[tex]c > - 2[/tex]

Answer:

m = 5 / 2

Step-by-step explanation:

Given

(4, 10)

Here,

x=4 and y=10

Given equation,

y=mx _ equation 1

putting the value of x and y in equation 1. we get,

y = mx

or, 10 = m4

or, 10 / 4 = m

or, 5 / 2 = m

therefore, m = 5 / 2

Answer:

to get rid of the fraction multiply both sides by six

Answer:

multiply both sides by 6

Step-by-step explanation:

you won't add 2 until you have a whole number, not a fraction.

You don't need to change the direction

and you aren't supposed to change the =, >, <, or any of those signs ever, until you get to where you are multiplying or dividing by a negative number

52 miles every 2 hours

52 / 2 = 26 miles every hour

[tex]\frac{1}{3} (26)=8\frac{2}{3}[/tex] miles every 1/3 hours

Answer: The go cart can travel [tex]8\frac{2}{3}[/tex] miles every 1/3 of an hour

The sum of the first eight terms of the geometric sequence whose first term is -2.5 and ratio is 2 is: -637.5

The nth term of a geometric sequence is given mathematically as;

T(n) = ar^n

Therefore, the sum of the first 8 terms of the geometric sequence is;

In essence;

Therefore, we have;

S(8) = -637.5.

Therefore, the sum of the first eight terms of the geometric sequence whose first term is -2.5 and ratio is 2 is: -637.5

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Answer:

75

Step-by-step explanation:

5(6+9)

Times the five by the numbers in the bracket

30 + 45

= 75

Answer:

75

Step-by-step explanation:

5 x 6 = 30

5 x 9 = 45

30 + 45 = 75

Answer:

Let x = the measure of the smaller angle

Let 3x + 40 = the measure of the larger angle

x + 3x + 40 = 180

4x = 140

x = 35º

3x + 40 = 3(35) + 40 = 145º

Step-by-step explanation:

Answer:

slope = - [tex]\frac{2}{3}[/tex]

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 )

Given

2x + 3y = - 12 ( subtract 2x from both sides )

3y = - 2x - 12 ( divide all terms by 3 )

y = - [tex]\frac{2}{3}[/tex] x - 4 ← in slope- intercept form

with slope m = - [tex]\frac{2}{3}[/tex]

Answer:

y=3/2x+3/2

Step-by-step explanation:

point at (-6,-5)

slope = m = 3/2

y = mx+b

(-6)=(3/2)(-5)+b >>> substituting x & y to solve for b

-6 = (-15/2)+b >>> simplify previous equation

-6 + (15/2) = b >>> isolate and solve for m

3/2 = b

therefore, the equation of the line passing through the point (-6,-5) with a slope of 3/2 is y=(3/2)x+(3/2)

Answer:

No asymptote

Step-by-step explanation:

This equation is linear, so it will not have an astmptote.

Answer:

Yes it is a polynomial.

Step-by-step explanation:

3x² - 4ab + 2 is quadratic polynomial, since it has the highest power / degree of 2.

Note : -

Types of polynomials :

Answer:

[tex]4394[/tex]

Step-by-step explanation:

the bird is

x = most popular

y = second most popular

x+y=49652

x=y+6786

Substitute into the first equation

(y+6786)+y=49652

2y=49652-6786

2y=42866

y=21433

x=21433+6786=28219(answer)

Answer:

7.

5/12

8.

12/39

Step-by-step explanation:

7.

5/6*1/2=5/12

8.

3/4*4/9=12/39

Answer:6200

Step-by-step explanation:

:We round the number up to the nearest hundred if the last two digits in the number are 50 or above.

: We round the number down to the nearest hundred if the last two digits in the number are 49 or below.

: If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.

:In this case, Rule B applies and 6248 rounded to the nearest hundred is:

6200

Answer: the answer is 6,200 hope it helps!

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can add like terms. Like terms are when the variables are alike, so you can add them to get a simpler form of your expression.equation.

4d and 2d are like terms, therefore, we can add them.

6d+6 is what we are left with.

Our final answer: 6d+6 is equivalent to 4d+6+2d

Answer:

Step-by-step explanation:

Answer:

Rate of change = 2

Step-by-step explanation:

The rate of change is equivalent to the slope of the line !

A line is written:

y=mx+b

"m" is the slope, and "b" is the y-intercept !

The line you gave was "y=2x+100"

The slope, or "m," in your equation, would be 2 !

Answer: x = 7

Step-by-step explanation:

5x + 7 = 42

We then take 7 away from both sides:

5x = 35

Then, we need to make it so x = answer. To make 5x into x, we divide by 5 meaning that we next need to divide both sides by 5.

x = 7

Answer:

6 stations

Step-by-step explanation:

Find the GCD of 24 and 18 in order to get the greatest number of stations

GCD is 6

Answer:

b

Step-by-step explanation:

Answer:

24524

Step-by-step explanation:

Use the order of operations to solve

Answer:

32/7 or 32

            ----

             7

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

multiply the fraction by a hundred and the answer will have units of percent.

Answer:

33450

Step-by-step explanation:

Answer:

5*8+12/3

=40+4

=44..........

We are given a line and a point, I assume that we want to see if the point is on the line or not.

We will see that the point does not belong to the line.

First, let's find the equation of the line.

A general line can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If the line passes through points (x₁, y₁) and (x₂, y₂), then the slope can be computed as:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Here we know that our line passes through the points (-2, 4) and (1, -9). Then the slope is:

[tex]a = \frac{4 - (-9)}{-2 - 1} = \frac{13}{-3} = -\frac{13}{3}[/tex]

Then our line is something like:

[tex]y = -\frac{13}{3} *x + b[/tex]

To find the value of b, we can use one of the two points that we know that are on the line.

For example, the point (-2, 4) means that when x = -2, we must have y = 4.

Replacing that in the equation we get:

[tex]4 = -\frac{13}{3} *(-2) + b\\\\4 = \frac{26}{3} + b\\\\4 - \frac{26}{3} = b\\\\\frac{-14}{3} = b[/tex]

Now we can write the line equation as:

[tex]y = -\frac{13}{3} *x - \frac{14}{3}[/tex]

Now we need to see if the point (14, -6) belongs to the line.

To see this, we evaluate the line in x = 14.

[tex]y = -\frac{13}{3} *14 - \frac{14}{3} = -\frac{196}{3}[/tex]

This is different than -6, so the point does not belong to the line.

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Answer:

I could help you more if you showed more pictures

Step-by-step explanation:

Jeff makes 19 per hour and Carl makes 15 per hour.

Jeff makes more per hour, $4 more than Carl to be exact.

Jeff's constant of proportionality:   y=19/1

Carl's constant of proportionality:  y=150/10 ---> y=15

Carl's graph: For every hour he makes $15

(Hours)

10                                                                    .

9                                                             .

8                                                    .

7                                            .

6                                     .

5                              .

4                      .

3                .

2          .

1    .

    15  30  45  60   75   90  105   120  135  150 ($)