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vfiekz [6]
3 years ago
15

Ike has a paper route. When he carries the Sunday paper his backpack is very heavy and Ike ends up with very sore shoulders.Ike

decided that he would not put more than 20 pounds in his backpack.If each paper weighs 1/3 of a pound, how many papers can he carry in his backpack
Mathematics
1 answer:
RideAnS [48]3 years ago
8 0

If Ike does not want more than 20 pounds in his backpack, this means he wants less than or equal to 20 pounds in his backpack. Because each paper costs 1/3 pound, this can be used as the rate of change and we can set up the following inequality:

1/3x < 20

To solve this inequality, we should divide both sides of the equation by 1/3.

x < 60

Because this inequality means that x is less than or equal to 60, the answer is that Ike can carry 60 papers in his backpack.

Hope this helps!

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3 years ago
D
Gelneren [198K]

Answer:

General equation of line : y = mx+c   --1

Where m is the slope or unit rate

Table 1)

p    d

1      3

2     6

4     12

d = Number of dollars (i.e.y axis)

p = number of pound(i.e. x axis)

First find the slope

First calculate the slope of given points

m = \frac{y_2-y_1}{x_2-x_1}   ---A

(x_1,y_1)=(1,3)

(x_2,y_2)=(2,6)

Substitute values in A

m = \frac{6-3}{2-1}

m = 3

Thus the unit rate is 3 dollars per pound.

So, It matches the box 1 (Refer the attached figure)

Equation 1 : p=3d

\frac{p}{3}=d

Since p is the x coordinate and d is the y coordinate

On Comparing with 1

m = \frac{1}{3}

Thus the unit rate is \frac{1}{3} dollars per pound

So, It matches the box 2 (Refer the attached figure)

Equation 2 : \frac{1}{3}d=3p

d=9p

Since p is the x coordinate and d is the y coordinate

On Comparing with 1

m =9

Thus the unit rate is 9 dollars per pound

So, It matches the box 3 (Refer the attached figure)

Table 2)

p        d

1/9      1

1         9

2        18

d = Number of dollars (i.e.y axis)

p = number of pound(i.e. x axis)

(x_1,y_1)=(\frac{1}{9},1)

(x_2,y_2)=(1,9)

Substitute values in A

m = \frac{9-1}{1-\frac{1}{9}}

m = \frac{8}{frac{8}{9}}

m = 9

Thus the unit rate is 9 dollars per pound

So, It matches the box 3 (Refer the attached figure)

3 0
3 years ago
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The area of parallelogram WXYZ is approximately 45 square units.
neonofarm [45]

Answer:

Option (4)

Step-by-step explanation:

Area of a triangle = \frac{1}{2} (a.b.\text{Sin}\theta)

Where a and b are the sides of a triangle and θ is the angle between the sides a and b.

By this rule,

Area of ΔWZY = \frac{1}{2}(\text{WZ}).(\text{YZ}).\text{Sin}(115)

45 = \frac{1}{2}(\text{YZ}).(10).\text{Sin}(115)

9 = (YZ).Sin(115)°

YZ = \frac{9}{\text{Sin}(115)}

YZ = 9.93

Perimeter of parallelogram WXYZ = WX + XY + YZ + WZ

                                                         = 9.93 + 10 + 9.93 + 10

                                                         = 39.86

                                                         ≈ 40 units

Therefore, perimeter of the parallelogram is 40 units.

Option (4) is the answer.

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3 years ago
Determine the slope of each line.
faust18 [17]
(2,-2)(5,7)

7-(-2)= 9
5-2= 3
9/3= 3

slope = 3

(you could also calculate the slope by just counting up how many units it goes up/down when you pick a point from the x-axis and move left/right. basically counting the rise over run)
7 0
3 years ago
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