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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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Divid 15 into two parts such that the sum of their reciprocal is 3/10
emmasim [6.3K]
Let x and y be the 2 parts of 15 ==> x + y=15 (given)

Reciprocal of x and y ==> 1/x +1/y ==> 1/x + 1/y = 3/10 (given)


Let's solve  1/x + 1/y = 3/10 . Common denominator = 10.x.y (reduce to same denominator)

 ==> (10y+10x)/10xy = 3xy/10xy ==> 10x+10y =3xy

But x+y = 15 , then 10x+10y =150 ==> 150=3xy and xy = 50

Now we have the sum S of the 2 parts that is S = 15 and 
their Product = xy =50
Let's use the quadratic equation for S and P==> X² -SX +P =0
Or X² - 15X + 50=0, Solve for X & you will find:
The 1st part of 15 is 10 & the 2nd part is 5
4 0
3 years ago
BD is the angle bisector of
AlexFokin [52]

Note: Let us consider, we need to find the m\angle ABC and m\angle DBC.

Given:

In the given figure, BD is the angle bisector of ABC.

To find:

The m\angle ABC and m\angle DBC.

Solution:

BD is the angle bisector of ABC. So,

m\angle ABD=m\angle DBC

3x=x+20

3x-x=20

2x=20

Divide both sides by 2.

x=\dfrac{20}{2}

x=10

Now,

m\angle DBC=(x+20)^\circ

m\angle DBC=(10+20)^\circ

m\angle DBC=30^\circ

And,

m\angle ABC=(3x)^\circ+(x+20)^\circ

m\angle ABC=(4x+20)^\circ

m\angle ABC=(4(10)+20)^\circ

m\angle ABC=(40+20)^\circ

m\angle ABC=60^\circ

Therefore, m\angle DBC=30^\circ,m\angle ABD=30^\circ and m\angle ABC=60^\circ.

8 0
2 years ago
Cathy sells an average of 32 pot holders each week.
Art [367]

Answer:

1500 pot holders

Step-by-step explanation:

32×48=1536 so it's about 1500 pot holders because 1536 it's closet to 1500

4 0
3 years ago
Please help me with a explanation
blagie [28]

Answer:

x = -3   or   x = 3

Step-by-step explanation:

Subtract 9 from both sides.

x^2 - 9 = 0

Factor the left side. There is no common factor of the terms. It is a binomial which is the difference of two squares, so it factors into the product of a sum and a difference.

(x + 3)(x - 3) = 0

Set each factor equal to zero.

x + 3 = 0   or   x - 3 = 0

Solve each equation.

x = -3   or   x = 3

3 0
3 years ago
4(5a-2b)-2(4a-5b)<br><br><br> Expand the brackets and simplify the question
Nutka1998 [239]

Answer:

12a+2b

Step-by-step explanation:

1. Expand by distributing terms.

20a-8b-2(4a-5b)20a−8b−2(4a−5b)

2. Expand by distributing terms.

20a-8b-(8a-10b)20a−8b−(8a−10b)

 3. Remove parentheses.

20a-8b-8a+10b20a−8b−8a+10b

4.Collect like terms.

(20a-8a)+(-8b+10b)(20a−8a)+(−8b+10b)

5. Simplify.

12a+2b12a+2b

6.Answer

12a+2b

6 0
3 years ago
Read 2 more answers
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