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Helga [31]
3 years ago
10

I WILL MARK AS BRANLIEST!

Mathematics
1 answer:
PolarNik [594]3 years ago
8 0

Answer:

0.5 pounds is one game

2 pounds is one textbook

Step-by-step explanation:

g = games

t = textbooks

Let's start with how much a game weighs. We know that when Chad added two more games the weight of the box increased by one pound (it was previously 21 pounds and then went to 22 when the two games were added). This means one game equals half of a pound (or 0.5 lbs.)...

2g = 1

\frac{2g}{2} = \frac{1}{2}  -> if you divide one side by two, you must do the same to the other.

g = \frac{1}{2} = 0.5

Now that we know the weight of the games, we can figure out the weight of the textbooks.

6g + 9t = 21 -> 6 games and 9 textbooks weigh 21 pounds.

Plugging in that each game is 0.5 pounds...

6(0.5) + 9t = 21

3 + 9t = 21

3 - 3 + 9t = 21 - 3

9t = 18

\frac{9t}{9} = \frac{18}{9}

t = 2

That means that each textbook equals 2 pounds.

I hope this helps!

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Mean is 31
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Reptile [31]

Answer:

\frac{14}{15}

Step-by-step explanation:

\frac{4}{5} × \frac{3}{9} + \frac{2}{3} ( firstly, multiply the 2 fractions together )

= \frac{12}{45} + \frac{2}{3}

= \frac{4}{15} + \frac{2}{3}

= \frac{4}{15} + \frac{2(5)}{3(5)}

= \frac{4}{15} + \frac{10}{15}

= \frac{14}{15}

7 0
3 years ago
Find a slope of the line that contains each pair of points: (-2, -6) and (4, 2)
horsena [70]
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\frac{y(2)-y(1)}{x(2)-x(1)} 

is equal to slope. 

(2--6)/(4--2)= 8/6. 

Hope this helps! 
6 0
3 years ago
Wendell is curious how much space Jordan will have inside the doghouse to move around in. What is the volume of the
Luda [366]

Answer:

24,840 cubic inches

Step-by-step explanation:

18 x 30 = 540                        - rectangle house front surface area

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7 0
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Triangular numbers can be represented with equilateral triangles formed by dots the first fire triangle numbers are 1 3 6 10 and
zhannawk [14.2K]

Answer:

There's no direct variation

Step-by-step explanation:

Required

Determine if there's a direct variation between the number and its position

I'll start by giving an illustration of how the triangle is represented using stars (*)

*

**

***

****

*****

Represent the line number with y and it's position with x

On line 1:

y = 1, x = 1

On line 2:

y = 2, x = 3

On line 3:

y = 3, x = 6

On line 4:

y = 4, x = 10

On line 5:

y = 5, x = 15

Note that, x is gotten by calculating the accumulated number of stars while y is the line number.

Direct variation is represented by

y = kx

Or

kx = y

Where k is the constant of variation

For line 1:

Substitute 1 for y and 1 for x

k * 1 = 1

k = 1

For line 2:

Substitute 2 for y and 3 for x

k * 3 = 2

Divide through by 3

k = ⅔

Note that the values of k in both computations differ.

This implies that there's no direct variation and there's no need to check further.

3 0
3 years ago
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