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3 years ago

To Make 5 Apple Pies,you Need 2 Pounds Of Apples . How Many Pounds Of Apples Do You Need To Make 20 Apples Pies?

2 answers:

8 0

This is a direct proportionality question
the pounds of apples needed is directly proportional to the number of apple pies made
to make 5 apple pies , 2 pounds of apples are needed
then to make 1 apple pie - 2/5 pounds of apples are needed
therefore 1 apple pie requires - 0.4 pounds of apples are needed
then to make 20 apple pies - 0.4 x 20 = 8 pounds of apples are needed
therefore 8 pounds of apples are required

Irina18 [472]3 years ago

8 0

If we need 2 pounds of apples to make 5 apple pies, then we need 8 apples to make 20 apple pies. It's because:

20 apples / 5 apple pies = 4
4 * 2 pounds = 8 pounds

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A company offers four plans for customers who want to rent DVDs and video games. The cost of the plans can be modeled by a linea

Luba_88 [7]

To solve this, we are going to use the slope formula, and the point slope formula.
Slope formula: $m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
where
$m$ is the slope.
$(x_{1},y_{1})$ are the coordinates of the first point.
$(x_{2},y_{2})$ are the coordinates of the first point.
Point-slope formula: $y-y_{1}=m(x-x_{1})$

Plan A. Coordinates of the first point: (1,14) (number of discs, cost). Coordinates of the second point: (2,17). Lets replace those values in our slope formula:
$m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
$m= \frac{17-14}{2-1}$
$m=3$
Now that we have the slope, we can use the point slope formula:
$y-y_{1}=m(x-x_{1})$
$y-14=3(x-1)$
$y-14=3x-3$
$y=3x+11$
Remember that in a linear equation of the form $y=mx+b$ , $m$ is the slope and $b$ is the y-intercept. In our model the y-intercept is the membership fee.
Since $b=11$ in our linear equation, we can conclude that the membership fee is $11

Plan B. Coordinates of the first point (1,12). Coordinates of the second point (2,16).
$m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
$m= \frac{16-12}{2-1}$
$m=4$
$y-y_{1}=m(x-x_{1})$
$y-12=4(x-1)$
$y-12=4x-4$
$y=4x+8$
Membership fee: $8

Plan C. Coordinates of the first point: (1,10). Coordinates of the second point: (2,15).
$m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
$m= \frac{15-10}{2-1}$
$m=5$
$y-y_{1}=m(x-x_{1})$
$y-10=5(x-1)$
$y-10=5x-5$
$y=5x+5$
Membership fee: $5

Part D. Coordinates of the first point: (1,12). Coordinates of the second point (2,21).
$m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
$m= \frac{21-12}{2-1}$
$m=9$
$y-y_{1}=m(x-x_{1})$
$y-12=9(x-1)$
$y-12=9x-9$
$y=9x+3$
Membership fee: $3

We can conclude that the plan that has the smallest one-time membership is Plan D.

6 0

3 years ago

Read 2 more answers

I need help!!!!!!!!!!

Andru [333]

Answer:

Yes

Step-by-step explanation:

The points will be on the same line if they have the same slope. Calculate the slope of each pair. If the slopes are the same, then they lie on the same line.

$m = \frac{y_2-y_1}{x_2-x_1} = \frac{3-2}{1-4} = \frac{1}{-3} = -\frac{1}{3}$

$m = \frac{y_2-y_1}{x_2-x_1} = \frac{4-2}{-2-4} = \frac{2}{-6} = -\frac{1}{3}$

$m = \frac{y_2-y_1}{x_2-x_1} = \frac{4-3}{-2-1} = \frac{1}{-3} = -\frac{1}{3}$

The slope is the same.

4 0

3 years ago

Just want to double check our answer.

bearhunter [10]

0 divided by 2 is 0.

You can use the multiplicative identity property: the product of any number and zero is still zero.

Hope this helped :)

3 0

3 years ago

Rational or irrational

emmasim [6.3K]

No not rational because you cant divide it

4 0

3 years ago

Sometimes the unit price on two sizes of the same product will be the same. When this is the case, how will different kinds of d

mamaluj [8]

The different type of discount effected on the prices of two similar products having the same unit price may either increase or decrease the total unit price on the discounted sale price of the items.

Taking an hypothetical scenario :

50 ml of Product A = $100

60 ml of product A = $100

Discount on sale of 60ml size on purchase of two or more units : 10% off

Discounted price of 60 ml size :

Initial product cost on purchase of 3 units = ($100 × 3) = $300

Discounted price = (100 - 10)% × $300 = $270

Discount on sale for 50ml size on purchase of two or more units : $20 off

Discounted price of 50ml size :

This means $20 is deducted from any purchase of two or more units ;

Hence, purchasing 2 units of the 50 ml product will cost ; (

($100 × 2) - $20

$200 - $20 = $180

Therefore, the discount effected on the cost of product which has the same unit price may either decrease or increase the total cost of one product relative to the other.

Learn more :brainly.com/question/20418815

7 0

2 years ago