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andrey2020 [161]
2 years ago
15

Which table of ordered pairs represents a proportional relationship?

Mathematics
1 answer:
grin007 [14]2 years ago
7 0

Answer:

It is the second one

Step-by-step explanation:

A proportional relationship happens when you get the same answer every time that you divide the y by the x.

(2,10) (4,20) (6,30)

10/2 = 5

20/4 = 5

30/6 = 5

That is not true for the other tables.

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Simplify the expression. n+ 3(n + 1) = 0​
laila [671]

Answer:

n=-3/4

Step-by-step explanation:

4 0
3 years ago
Bryce tried to solve an equation step by step. \qquad\begin{aligned} \dfrac83&=3\left(c+\dfrac53\right)\\\\ \\ \dfrac83&
sesenic [268]

Answer:

Bryce is wrong in step 1 because he did not distribute 3 over 5/3

Explanation

Given the steps taken by bryce as shown, we are to find where he made an error

\qquad\begin{aligned} \dfrac83&=3\left(c+\dfrac53\right)\\\\ \\ \dfrac83&=3c+\dfrac53&\green{\text{Step } 1}\\\\ \\ 1&=3c&\blue{\text{Step } 2}\\\\ \\ \dfrac13&=c&\purple{\text{Step } 3}\\\\ \end{aligned}

Given the expression;

\dfrac83&=3\left(c+\dfrac53\right)\\\\ \\

Step 1:Expand the bracket using the distributive law;

8/3 = 3c + 3(5/3)

<em>Simplify</em>

8/3 = 3c + 15/3

Step 2: Subtract 15/3 from both sides

8/3 - 15/3 = 3c+15/3-15/3

(8-15)/3 = 3c

-7/3 = 3c

Step 3: Multiply both sides by 1/3

-7/3 * 1/3 = 3c * 1/3

-7/9 = c

Swap

c = -7/9

From the calculation, we can see that Bryce is wrong in step 1 because he did not distribute 3 over 5/3 thereby making his solution incorrect

3 0
3 years ago
How many grams are 7.00 x 1022 molecules of NaOH?
olya-2409 [2.1K]

Answer:

46.5

explanation

6.022*10^23 molecules=40g.

7.00*10^23=40*7.00*10^23/6.022*10^23 g =46.5 g

8 0
3 years ago
Freddy is searching for a shirt and discovers that he has 12 shirts for every 6 pair of jeans.If he has 18 shirts, how many pair
KIM [24]
9 jeans. 2 shirts per jean. And 18 divided by 2= 9

6 0
3 years ago
Find the area of the shaded region.
Citrus2011 [14]

Answer:

pi × 18cm^2

Or approximately,

56.52cm^2 (using 3.14 for pi)

or

56.5487cm^2 (using pi button on calculator)

Step-by-step explanation:

Area of a circle is pi times [radius squared].

All circles are 360°.

Problem can be solved by finding area of whole circle, and then using ratios.

Whole Circle: area = pi × (9cm)^2 = pi × 81cm^2

80° / 360° = Area[shaded] / (pi × 81cm^2)

pi × 18cm^2 = Area[shaded]

((If you read my answer before the edit, I am sorry. I made a calculator error.))

3 0
3 years ago
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