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polet [3.4K]
3 years ago
9

A town’s population of children increased from 376 to 421 during the past year.

Mathematics
1 answer:
lesantik [10]3 years ago
7 0

<em><u>The equation shows how to find the percent increase:</u></em>

Percent\ increase = \frac{421-376}{376} \times 100

<em><u>Solution:</u></em>

Given that,

A town’s population of children increased from 376 to 421 during the past year

To find: percent increase

<em><u>The percent increase is given by formula:</u></em>

\text{Percent increase} = \frac{\text{Final value - initial value}}{\text{initial value}} \times 100

From given,

Initial value = 376

Final value = 421

Percent\ increase = \frac{421-376}{376} \times 100\\\\Percent\ increase = \frac{45}{376} \times 100\\\\Percent\ increase = 11.968 \%

Thus the equation is found and solved

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You are selling tickets to a play. You have sold (3t+2) tickets for $5 each and (2t+5) tickets for $7 each. Write an expression
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Given that the number of tickets that are sold for $5 is (3t+2) tickets.

The number of tickets that are sold for $7 is (2t+5) tickets.

We need to determine the expression that represents the total number of tickets sold and the simplified expression.

<u>Total number of tickets sold:</u>

The expression for (3t+2) tickets sold for $5 is given by

5(3t+2)

The expression for (2t+5) tickets sold for $7 is given by

7(2t+5)

The expression for the total number of tickets sold is given by

5(3t+2)+7(2t+5)

Thus, the expression that represents the total number of tickets sold is 5(3t+2)+7(2t+5)

<u>Simplified expression:</u>

We need to simplify the expression 5(3t+2)+7(2t+5)

Hence, let us multiply the terms within the bracket.

Thus, we get;

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Rewrite the following linear equation to slope form :y+2=7(2x-4)
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Answer:

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Step-by-step explanation:

The slope intercept form is:

y = mx + b,

Slope intercept form is useful for finding the slope and y intercept of a line, hence why it is called "slope intercept" because it is easy to see the slope and the y intercept of a line in this form. Since the slope denoted by m, and y intercept denoted by b are clearly given.

y + 2 = 7(2x - 4)

Distribute 7 across the parentheses by multiplying x and 2x and 4 by 7.

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subtract 2 from both sides. This cancels the 2 on the left and moves it to the right, while keeping the equation balanced.

y+2 -2 = 14x - 28 -2

y  = 14x - 30

y = 14x -30

As you can see our y = 14x -30 now looks like the point slope equation we had above. m = 14, and  b = -30. This means the line goes up 14 for every single unit you move to the right, and intersects the y axis at  (0, -30).

Please mark me brainliest.

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Which number line correctly shows 0.8 + 0.3? A number line going from 0 to 1.3 in increments of 0.01. An arrow goes from 1.1 to
steposvetlana [31]

Answer:

the second number line in the second row OR The number line D in the attached image

Step-by-step explanation:

Lets start solving the question.

(For ease of understanding each line i have labeled them please see the attachment to relate my explanation)

first read the question it i mentioned that which number line currently shows 0.8+0.3.

After reading the question it is clear that which ever line will represent it will be the addition of 08.+0.3.

here please take a note that we are dealing with a number line hence the sign also matters.

Now lets start analyzing lines one by one.To make it easy i have attached an image where i have labeled the lines as A,B,C,D,E,and F for the ease  of understanding.

so take the first line A into consideration,

its starting from 0.3 and ending at 0 means its decrementing you can also determine it with the direction. any line that originates from the origin and goes to the right shows increment and addition and the lines that originates from origin and goes to the left shows decrement.

so here we can easily all those lines which are showing a leftward directions as it is decrementing and we want a line that increments 0.8+0.3

so now th lines A,B,F and H can be skipped.

We are done with analyzing line A, line B is skipped and now lets start with C.

here the line start from 0 and ends at 0.8 so it cant be the line as 0.8+0.3 yields 0.11.

so line C can't be the correct one.

Now lets consider the next line that is D.

here it starts at 0.8 and ends at 0.11 means exactly showing an increment of 0.3 also its showing a positive directions as its heading to the right.

so this is the line that correctly shows 0.8+0.3.

Now consider line E it cant be the correct line as its showing only 0 to 0.8.

and now the line that will confuse you is line G.

it starts at 0.3 and ends at 0.11 here there is increment of 0.8 though it seems like correct but it cant be the line showing 0.8+0.3 as we have to select the line that originates at 0.8 and shows an increment of 0.3 and not the one which originates at 0.3 and ends at 0.11 showing an increment of 0.8.

Also the question itself is asking 'LINE' and not 'LINES' so you can take such minute things also into Consideration for avoiding any kind of confusion.

I hope this will help  you.

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