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3 years ago

15. Use inductive reasoning to describe the pattern. Then find the next two numbers in the pattern.

Mathematics

2 answers:

EleoNora [17]3 years ago

4 0

Answer:

11, 16

Step-by-step explanation:

the difference between -4 and -9, 1 and -4, 6 and 1 is 5...so add 5 to 6 = 11

then 11 + 5 = 16

vampirchik [111]3 years ago

4 0

Answer:

11,16

Step-by-step explanation:

We are adding 5 each time

-9+5 = -4

-4+5 =1

To find the next two terms

6+5 =11

11+5 = 16

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3. Which expressions are equivalent to the given one?

Montano1993 [528]

Answer:

b, d

Step-by-step explanation:

20/-4 = -5

20 x (-1/4) = -5

4 0

1 year ago

In a classroom of 33

amid [387]

Answer: 9 boys
Explanation:
3/11= x/33
11x= 99
x=9

5 0

3 years ago

What is the equation of the line that passes through the point (-9. 6) and is

hram777 [196]

Answer:

The perpendicular equation is y = -3x -21

Step-by-step explanation:

Perpendicular lines have the exact opposite slope as the other equation and they never have the same y-intercept.

To find the perpendicular slope just look at the slope in the original equation and get the exact opposite.

First let's simplify the equation.

-5 + x = 3y (divide by 3 on both sides to get y by itself)

-5/3 + 1/3x = y or y = 1/3x + 5/3

The exact opposite of this slope would be -3.

Now plug in the point you were given so that we can find the y-intercept.

6 = -3(-9) + b (b = y-intercept)

6 = 27 + b (subtract 27 on both sides)

-21 = b

So the perpendicular equation looks like this.

y = -3x -21

6 0

3 years ago

Match the real-world problem to its constant of proportionality.

BabaBlast [244]

Answer:

a. $18.36 for 3 pizzas : k = 6.12

b. $4.17 for 3 pounds of bananas . k = 1.39

c. $16.48 for 4 pounds of potatoes . k = 4.12

d. 2 cups of flour to make 24 cookie . k = 2

Step-by-step explanation:

<u>PROPORTIONALITY:</u>

Two quantities x and y are said to proportional to each other

if for x ∝ y , x = y k.

Here, k i s called the PROPORTIONALITY CONSTANT.

⇒ $x \propto y \implies k = \frac{x}{y}$

Now, for the given quantities:

a. $18.36 for 3 pizzas [box]

Here, $k = \frac{18.36}{3} = 6.12$

So, the proportionality constant is 6.12.

b. $4.17 for 3 pounds of bananas [box]

Here, $k = \frac{4.17}{3} = 1.39$

So, the proportionality constant is 1.39.

c. $16.48 for 4 pounds of potatoes [box]

Here, $k = \frac{16.48}{4} = 4.12$

So, the proportionality constant is 4.12.

d. 2 cups of flour to make 24 cookies

Here, $k = \frac{24}{2} = 12$

So, the proportionality constant is 12

6 0

4 years ago

What is the solution to the linear equation? (2/3)x-1/2=1/3+(5/6)x

bija089 [108]

Answer:

x=-5

Step-by-step explanation:

3 0

4 years ago

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