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3 years ago

Write a problem that can be solved with a bar model that shows equal groups of liters

Mathematics

1 answer:

allochka39001 [22]3 years ago

6 0

Bar models are used to illustrate products and quotients

The equation modeled by the bar is $5 x = 10$

<h3>How to describe the bar</h3>

The bar is not given.

So, I will use the attached figure to solve the question

From the attached figure, we have the following highlights:

The length of the bar is 10 units
Each bar is x unit long
There are 5 rectangles/squares in the model

So, the equation of the bar is:

$5 * x = 10$

Multiply 5 and x

$5 x = 10$

Hence, the equation modeled by the bar is $5 x = 10$

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The relationship between the number of years (x) that have passed and the population (y) for a small town is shown in the table.

ZanzabumX [31]

Answer:

D. 10,699

Step-by-step explanation:

The given data for the Population Count Per Year is presented as follows;

Number of Years (x); 1, 2, 3, 4, 5, 6, 7, 8

$\begin{array}{ccccccccc}Number \ of \ Years \ (x)&1&2&3&4&5&6&7&8\\Population \ (y)&1,440&1,728&2,074&2,488&2,986&3,583&4,300&5,160\end{array}$ The data regression equation is y = 1,200·(1.2)ˣ

Based on the regression equation for the data, the predicted value of the town's population after 12 years is given by substituting x = 12 as follows;

After 12 years, y = 1,200 × (1.2)¹² ≈ 10,699.32

Therefore, the option which is the best prediction is 10,699.

7 0

3 years ago

Han is cycling at a speed of -8 miles per hour; if he starts at the same zero point, what will his position be after 45 minutes?

baherus [9]

Answer:

-6mph

Step-by-step explanation:

45 is 3/4hour so -8 times 3/4= -24/4=-6mph

7 0

3 years ago

May I please receive help

mafiozo [28]

Hello mate ☺️,

We know that m < 2 = 96°, as,

$m < 5 = 96°$ (Alternate angles are equal)

Now we know that m < 5 = 96°, so,

$→ m < 5 + m < 8 = 180°$ (Linear Pair angles are supplementary)

$→ 96° + m < 8 = 180°$

$→ m < 8 = (180 - 96)°$

$→ m < 8 = 84°$

Therefore, m<5 = 96° & m<8=84°

✍️ By Benjemin ☺️

3 0

2 years ago

Which is the graph of the linear equation 3x - 4y = -12

melamori03 [73]

Answer:

the graph that goes through the points

(0,3), (-4,0)

Step-by-step explanation:

make y the subject

3x-4y=-12

4y=3x+12

y=(3x+12)/4

now when x=0

y=12/4=3

so coordinates (0,3)

now when y=0

0=(3x+12)/4

by multplying both sides by 4

0=3x+12

0=3 (x+4)

divide both sides by 3

0=x+4

x=-4

so coordinates (-4,0)

3 0

3 years ago

Read 2 more answers

-x + 2y = 3 2x – 3y = -6

s2008m [1.1K]

Answer:

x = -3

y = 0

Step-by-step explanation:

Given equations :- 

-x + 2y = 3 ....... ( i )

2x - 3y = -6 ....... ( ii )

From ( i ) 

-x + 2y = 3

-x = 3 - 2y

x = 2y - 3 ........ ( iii )

From ( ii ) 

2x - 3y = -6

2x = -6 + 3y

$x = \frac{ - 6 + 3y}{2}$

........ ( iv )

Equating ( iii ) and ( iv )

x = x

$2y - 3 = \frac{ - 6 + 3y}{2}$

4y - 6 = -6 + 3y

4y - 3y = -6 + 6

y = 0

Putting value of y in ( iii )

x = 2y - 3

x = 2 ( 0 ) - 3

x = -3

4 0

3 years ago