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3 years ago

Find the equation of the linear function represented by the table below in slope-intercept form.

Mathematics

1 answer:

Ilya [14]3 years ago

7 0

Answer:

the desired equation is y = x + 4.

Step-by-step explanation:

Slope is defined as m = rise over run. Run is the change (usually an increase) in x, and rise an increase or decrease in y.

We see, in the table, that if x increases from 1 to 6 (a 'run' of 5), y increases from 5 to 10 (a 'rise' of 5). Thus, it's immediately apparent that the slope is m = rise / run = 5 / 5, or just 1.

Using the slope-intercept form of the equation of a straight line, y = mx + b, and the point (1, 5), we calculate b:

5 = 1(1) + b, or b = 4.

Therefore the desired equation is y = x + 4.

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To compare 5 in tens place to 5 in the hundreds place in the number 5,555

galina1969 [7]

Answer:

I'm not sure what you are asking for?

Step-by-step explanation:

The 5 in the tens place = 50, and the 5 in the hundreds place = 500.

To compare them (Are you asking me for the difference between them???), then, 500 - 50 = 450.

But, again, I'm not sure what you want.

6 0

3 years ago

If one basket contains five bottles each weighing 7 1/4 ANSYS and the other basket has six apples each weighing 6 1/2 ounces woo

Tems11 [23]

Question:

If one basket contains five bottles each weighing 7 1/4 and the other basket has six apples each weighing 6 1/2 ounces. Which basket is heavier and by how much ?

Answer:

The basket of bottles weighs more than the basket of apples by $3\frac{3}{4}$ ounces

Step-by-step explanation:

Given

$Bottles = 5$

$Weight(Bottle) = 7\frac{1}{4}$

$Apples = 6$

$Weight(Apple) = 6\frac{1}{2}$

Required

Determine which basket is heavy

and by how much?

First, we need the total weight of each basket.

For the bottles' basket

$Total\ Weight = Weight * Bottles$

$Total\ Weight = 7\frac{1}{4} * 5$

$Total\ Weight = \frac{29}{4} * 5$

$Total\ Weight = \frac{29 * 5}{4}$

$Total\ Weight = \frac{145}{4}$

$Total\ Weight = 36\frac{1}{4}$

For the bottles' basket

$Total\ Weight = Weight * Apples$

$Total\ Weight = 6\frac{1}{2} * 5$

$Total\ Weight = \frac{13}{2} * 5$

$Total\ Weight = \frac{13* 5}{2}$

$Total\ Weight = \frac{65}{2}$

$Total\ Weight = 32\frac{1}{2}$

By comparing both total weights, $36\frac{1}{4} > 32\frac{1}{2}$

Hence:

The basket of bottles weighs more than the basket of apples

Calculating the difference:

$Difference = 36\frac{1}{4} - 32\frac{1}{2}$

$Difference = \frac{145}{4} - \frac{65}{2}$

$Difference = \frac{145 - 130}{4}$

$Difference = \frac{15}{4}$

$Difference = 3\frac{3}{4}$

Hence:

It weighs more by $3\frac{3}{4}$ ounces

8 0

3 years ago

Hey can you help me? You're the best!

elena-s [515]

Answer: Brainliest plz?

.05 more seniors chose tropical paradise than juniors choosing a night in Paris

Step-by-step explanation:

55/100=.55

105/175=.60

.60-.55=.05

3 0

3 years ago

I need help now assssssap

Andreyy89

Answer:

assssssssssssssap

Step-by-step explanation:

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　　°　　　•　　.°•　　　 ✯　　　★　*　　　　　°　　　　　°·　　 .　　　•　° ★　• ☄

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7 0

3 years ago

Read 2 more answers

ATCE Learning Center wants to make a net profit of $650,000 on the manual it sells to schools. The fixed costs for producing the

Elanso [62]

We are to solve for the price per unit. Let "x" be the price per unit.
The given values are the following:
Variable Cost = 1250,000 *x
Fixed Cost = $780,000
Net Profit = $650,000
Variable cost per unit = $19.85

The solution is shown below:
$650,000 = 1,250,000*x - $780,000 - $1,250,000*$19.85
x = $26, 242, 500 / 1,250,000 units
x = $20.994

The price per unit is $20.99 and the answer is letter "D".

6 0

3 years ago