the points (6,8) and (15,20) form a proportional relationship. find the slope of the line through the points. then use the slope to graph the line

Answer:

6(x + 4) = 5

Step-by-step explanation:

We can break this sentence down into individual operations:

"six times" → this means 6 multiplied by some quantity

6 · ()

"the sum of a number and 4" → this is the quantity that we can put inside the parentheses (Note that "a number" is represented as a variable x, and a "sum" is the result of the addition of multiple numbers.)

6 · (x + 4)

"equals 5" → this is self-explanatory; the expression above is equal to 5

6(x + 4) = 5

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Note that multiplication with a value inside parentheses is implied.

For example,

4(5) = 4 · 5 = 20

⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯

We can solve for x in this equation to solve for "a number".

6(x + 4) = 5

↓ applying the distributive property ... a(b + c) = (a · b) + (a · c)

6x + (6 · 4) = 5

↓ simplifying

6x + 24 = 5

↓ subtracting 24 from both sides

6x = -19

↓ dividing both sides by 6

x = -19/6

Time:      Distance:

2              6

6              18

8              24

15             45

the distance (output) is 3 times larger than the time (input) so you have to multiply and divide to find the missing numbers.

Answer:

2 6

6 18

8 24

15 45

Step-by-step explanation:

6 = 18

X = 6

cross multiply

6 × 6 ÷ 18

=2

2 = 6

X = 24

Cross multiply

2 × 24 ÷ 6

= 8

2 = 6

15 = x

Cross multiply

6 × 15 ÷ 2

=45

Answer:

Mean = 16

Step-by-step explanation:

MEAN can be find bg the sum of all score divided by the amount of the score.

Mean = total amount / number of amount

Total amount = 2 + 3 + 5 + 9 + 17+ 22 + 31 + 39

= 128

number of amount = 2, 3, 5, 9, 17, 22, 31, 39

= 8

Then we can calculate mean as

Mean = 128/8

Mean = 16

Answer: explanation

Step-by-step explanation:

I am unsure about number 1, but for number 4, you have to fund the unit rate.

Answer:

Answer for Number 1: 54 1/2

Answer for Number 4: $2.36

Step-by-step explanation:

Explanation for number 1:

    1.  length x width = area right? So area divided by length = width!

        159 3/8 divided by 18 3/4 = 8 1/2

    2. width + width + length + length = perimeter right? Now you know the

        width,  you can do...

         8 1/2 + 8 1/2 + 18 3/4 + 18 3/4 = 54 1/2

Explanation for number 4:

    1.  You know that 4 cup = 1 quart right?

        9.44 = 1 quart

    2. So you divide it:

        9.44 / 4 = $2.36

Answer:

23. y intercept= -7 slope = 1/2

24. y-intercept = 4 slope = -1/3

Step-by-step explanation:

y=mx+b

y= slope x + y-intercept

x = 2, -3 is your answer

The answer is x = 2, -3

Answer: 81 miles

Step-by-step explanation:

The total distance traveled on the three-day trip is: 81 miles.

Denote the total distance of each day's journey by D1, D2, and D3, respectively. Then write equations based on the given identities:

a. (5/8)D1 + 15 = D1

(3/8)D1 = 15

D1 = 40 miles

So, the total distance traveled on Day 1 is 40 miles.

b. 18 + (2/5)D2 = D2

(3/5)D2 = 18

D2 = 30 miles

So, the total distance traveled on Day 2 is 30 miles.

c. (5/11)D3 + 6 = D3

(6/11)D3 = 6

D3 = 11 miles

So, the total distance traveled on Day 3 is 11 miles.

Therefore, the total distance traveled on the three-day trip is:

40 + 30 + 11 = 81 miles.

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Answer:

  1/9

Step-by-step explanation:

You want the probability of rolling a sum of 5 when you roll two dice.

There are 4 outcomes that have a sum of 5 when rolling two dice:

  (1, 4), (2, 3), (3, 2), (4, 1)

There are 36 total possible outcomes, so the probability of rolling a 5 is ...

  P(5) = 4/36 = 1/9

The probability of rolling a sum of 5 is 1/9.

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Answer:

x=10

<DPT=149°

<APW=149°

<WPD=31°

Step-by-step explanation:

4x-9=91-6x

4x+6x=91+9

10x=100

x=10

<DPT=180-(4(10)-9)

<DPT=180-31

<DPT=149

<APW=149 (Same as <DPT)

<WPD=4x-9

<WPD=40-9

<WPD=31

Answer:

3/16

Step-by-step explanation:

There are 4 possible outcomes: 2, 3, 4, 5

There are 3 outcomes that are a number greater than 2: 3, 4, 5

There is 1 outcome that is a number less than 3: 2

p(greater than 2) = 3/4

p(less than 3) = 1/4

p(greater than 2 followed by less than 3) = 3/4 × 1/4 = 3/16

Answer:To write the number 0.0000149 in scientific notation, we need to express it as a number between 1 and 10 multiplied by a power of 10.

First, we move the decimal point to the right until there is only one non-zero digit to the left of the decimal point, which gives us:

1.49 × 10^-5

Since we moved the decimal point 5 places to the right, the exponent of 10 is negative 5.

Therefore, the scientific notation of 0.0000149 is 1.49 × 10^-5.

Step-by-step explanation:

Answer:

1.49×10^-5

Step-by-step explanation:

0.0000149=1.49×10^-5

it's to the power of -5 because it's a decimal number not a whole number

Answer:

10.57 m

Step-by-step explanation:

Let the height of the parallelogram be x m

Area of the parallelogram = base*height

                                645    = (61 * x ) m

                                 x = 645/61

                                    = 10.57 m

Hope this helps

Height of parallelogram = 10.57m

Given,

Base of parallelogram = 61 m

Area of parallelogram = 645 m²

Now, according to formula

Area of parallelogram = Base × Height

Substitute the given values in the formula,

645 = 61 × height

Height = 10.57 m

Hence, the height of the parallelogram with area 645m² and base 61 m is 10.57 m  .

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Answer: S = [tex]\frac{A}{2}[/tex] + [tex]\frac{3}{2}[/tex]

Step-by-step explanation: Isolate S by timesing it by 2, which means you have to times A and 3 by two and take S to the other side of the equation which makes the minus into a plus.

Answer:

[tex]S=\frac{A+3}{2}[/tex]

Step-by-step explanation:

The original equation is:

A=2S-3

But, we are now solving for S, so we have to isolate S.

To do this, we first must add 3 to both sides:

A+3=2S

Next, divide both sides by 2:

[tex]\frac{A+3}{2}=S[/tex]

Hope this helps! :)

Answer:

72 feet

Step-by-step explanation:

Because the circumference is 6 feet, with every complete rotation, the bike travels 6 feet. Therefore, the bike will travel 72 feet when the wheel makes 12 complete rotations.

Feel free to tell me if I did anything wrong! :)

Least

72 ÷ 8 - 2 × (3 + 1) = 1

(72 ÷ 8) - 2 x 3 + 1 = 4

72 ÷ (8 - 2) × 3 + 1 = 37

72 ÷ (8-2) × (3 + 1) = 48

Greatest

To solve all of these, just follow the PEMDAS format (Parenthesis, Exponent, Multiply, Divide, Add, and Subtract)

Or just punch it in a calculator :)

Answer:

72 ÷ 8 - 2 × (3 + 1) = 1

(72 ÷ 8) - 2 x 3 + 1 = 4

72 ÷ (8 - 2) × 3 + 1 = 37

72 ÷ (8-2) × (3 + 1) = 48

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer is solveable is actually A

Answer:

40 in.²

Step-by-step explanation:

First, you have to find the area of the triangle, which you then multiply by 4 (because there are 4 triangles):

A=1/2(bh)

A=1/2(3x4)

A=1/2(12)

A=6

6x4=24 in.²

Next, you have to find the area of the square:

A=bh

A=4x4

A=16

Now, add 24 and 16 together to get your answer of 40 in.².

Answer:

Step-by-step explanation: don't know

Answer: 5400

Step-by-step explanation: image attached

Answer:

5400

Step-by-step explanation:

we need to calculate the area of big box (prism).

volume = 4 1/2 X 5 X 3 3/4

= 84.375 in³.

volume of small cube = 1/4 X 1/4 X 1/4

= 0.015625 in³.

now we need to find how many of the small ones go into the big one.

84.375/0.015625

= 5400.

Answer: 540.4 mm squared

Step-by-step explanation:

Since there are 5 triangles, we can find the area of each one and multiply it by 5:

(bh)/2 * 5

the base is 8 because in an isosceles triangle, you divide the bottom side by 2

(2*20)/2 * 5 =

20 * 5 =

100

We can add this to the base, 440.4, and get a result of 540.4

Answer: 540.4 mm squared

Step-by-step explanation:

Answer:

x = 10

The shaded angles are each 31 degrees.

Step-by-step explanation:

I don't know if you are being asked to solve for x or the shaded angle, so we'll solve for both.

Those 2 shaded angles are equal to each other. So set them equal to each other & solve for x.

91-6x = 4x-9

91+9 = 4x+6x

100 = 10x

10 = x

Now substitute x=10 to find the measure of the shaded angles (which are equal).

91-6x = 91-6(10) = 91-60=31

The shaded angles are both 31 degrees .

Answer:

1/6x + 47

1 2/3x+35 -1 1/2x +12

5(1/3x)+(5)(7)-(3)(1/2x)+(3)(4)

Answer: A

Step-by-step explanation:

Given by the table shown, we can see that the numbers are already put in least to greatest.

We count how many ranges there are:
(0 to 20)

(20 to 40)

(40 to 60)
(60 to 80)

(80 to 100)

There are 2 numbers that are between he range (0-20)

This doesn’t help us figure out wether it’s A or B. So we move on to the second range, 20 to 40.

Here we see that there are 6 numbers between 20 to 40. That’s only one answer, A

Answer: 2

Step-by-step explanation:

Answer:

You must find the maximum i.e. the highest score and the minimum i.e. the least score.

In the given question, the lowest score is 4.

                                    the highest score is 50.

And there ya go!

Answer: 106.1

Step-by-step explanation:

Find the area of each triangle and multiply by 5

(bh)/2 * 5 =

(6*3)/2 * 5 =

9 * 5 =

45

Add this to the area of the base, 61.9, and get an answer of 106.1