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3 years ago

6

You bought groceries last week. You used coupons and saved 25% on your grocery bill. You saved $8.80. How much was your bill bef

ore coupons?

1 answer:

QveST [7]3 years ago

7 0

Answer:

$35.2

Step-by-step explanation:

% saved = 25%

Money saved = $8.80

Let x be the bill before the coupon discount.

25/100 × x = 8.80

x = $35.2

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Two planes leave an airport at noon. If the eastbound plane flies at 560 mph and the westbound plane flies at 500 mph, at what t

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The two planes are flying in opposite directions.One plane travels at 560miles per hour and the other travels at a speed of 500 miles per hour. As time proceeds, they would travel further from each other and that can be described by the equation that follows:

560(t)+500(t) =2000, since we are given a 2000 distance limit. Then we are to find the time when they are at this distance. Solve for t, which is equal to 0.53 hours or 32 minutes.

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Betina reh<br> 42.30& 7.89

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Answer:

Step-by-step explanation:

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Which best describes the relationship between the lines?

Bogdan [553]

Answer: A.parallel

When graphed both have the same slope and never intersect or touch at any point.

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3 years ago

Add the two expressions.<br><br> 2x + 6 and 6x −1<br><br> Enter your answer in the box.

MA_775_DIABLO [31]

Answer:

8x +5

Step-by-step explanation:

The sum is found by combining "like" terms—those that have the same arrangement of variables.

The first expression, 2x +6, has terms 2x and 6.

The second expression, 6x -1, has terms 6x and -1.

In each case, the first term listed is first-degree in the variable x. These are "like" terms, so can be added:

... 2x +6x = (2+6)x = 8x

The second term listed in each case is a constant. These are "like" terms, so can be added:

... 6 + (-1) = 5

Then the sum of the given expressions is the sum of the results from adding like terms:

... 8x + 5

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3 years ago

1.The earnings of a worker is shown by the graph below. Using this graph, answer the questions that follow.

worty [1.4K]

Answer:

a. $y = 2x$

b. The slope represents the common difference

c. $a_n = 2n$

d. $a_{10} = 20$

Step-by-step explanation:

Given:

The graph

<u>Solving (a): The equation</u>

First, we pick any two corresponding points on the graph

$(x_1,y_1) = (1,2)$

$(x_2,y_2) = (2,4)$

Next, we calculate the slope using:

$m = \frac{y_1 - y_2}{x_1 - x_2}$

$m = \frac{2-4}{1-2}$

$m = \frac{-2}{-1}$

$m=2$

The equation is then calculated as:

$y - y_1 = m(x - x_1)$

$y - 2 = 2(x - 1)$

$y - 2 = 2x - 2$

Make y the subject

$y = 2x - 2+2$

$y = 2x$

<u>(b) Interpret the slope</u>

In (a) above, the slope is calculated as: $m=2$

This represents the common difference of the sequence;

<u>(c) Represent as an arithmetic sequence</u>

We have the following points from the graph:

$(x_1,y_1) = (1,2)$

$(x_2,y_2) = (2,4)$

$(x_3,y_3) = (3,6)$

This means that: The first term is 2; the second is 4, the third is 6.....

So, we have:

$a_1 = 2$ --- First Term

$d = a_2 - a_1 = 4 - 2 = 2$ --- Difference

The nth term of an AP is:

$a_n = a_1 + (n - 1)d$

This gives:

$a_n = 2 + (n - 1)*2$

$a_n = 2 + 2n - 2$

Collect Like Terms

$a_n = - 2+2 + 2n$

$a_n = 2n$

<u>(d) Find a10</u>

To do this, we simply substitute 10 for n in $a_n = 2n$

So, we have:

$a_{10} = 2 * 10$

$a_{10} = 20$

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3 years ago