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Illusion [34]
3 years ago
14

Mary and roberto bought identical backpacks at different stores. marys backpacks originally cost $65 and was discounted 25%. rob

ertos backpack orignally cost $75 and was on sale for 30% off the original price.which backpack was a better buy?
Mathematics
1 answer:
garri49 [273]3 years ago
6 0
Mary's backpack: 25% of 65 = 0.25 * 65 = 16.25; 65 - 16.25 = $48.75
Roberto's backpack: 30% of 75 = 0.3 * 75 = 22.5; 75 - 22.5 = $52.5

Mary's backpack was a better buy because it was cheaper. 
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What is the value of B - A as a fraction?
umka21 [38]
Answer:
A = 1/4
B = 3/4

step-by-step explanation:
the middle should be 1/2 because the middle between 0 and 1 is 1/2
A and B are both in the middle of the sides
therefore A would be closer to 0 so 1/4
and B would be closer to 1 so 3/4
6 0
3 years ago
Does anyone know what 1/2*1/2*1/2*1/2 equals? <br> answers:<br> 4/48<br> 5/16<br> 1/20736<br> 4/12
dedylja [7]
I believe it would be 1/16.
3 0
3 years ago
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Determine whether each of the binary relation R defined on the given sets A is reflexive, symmetric, antisymmetric, or transitiv
ki77a [65]

Answer:

In explanation

Please let me know if something doesn't make sense.

Step-by-step explanation:

a)

*This relation is not reflexive.

0 is an integer and (0,0) is not in the relation because 0(0)>0 is not true.

*This relation is symmetric because if a(b)>0 then b(a)>0 since multiplication is commutative.

*This relation is transitive.

Assume a(b)>0 and b(c)>0.

Note: This means not a,b, or c can be zero.

Therefore we have abbc>0.

Since b^2 is positive then ac is positive.

Since a(c)>0, then (a,c) is in R provided (a,b) and (b,c) is in R.

*The relation is not antisymmretric.

(3,2) and (2,3) are in R but 3 doesn't equal 2.

b)

*This relation is reflective.

Since a^2=a^2 for any a, then (a,a) is in R.

*The relation is symmetric.

If a^2=b^2, then b^2=a^2.

*The relation is transitive.

If a^2=b^2 and b^2=c^2, then a^2=c^2.

*The relation is not antisymmretric.

(1,-1) and (-1,1) is in the relation but-1 doesn't equal 1.

c)

*The relation is reflexive.

a/a=1 for any a in the naturals.

*The relation is not symmetric.

Wile 4/2 is an integer, 2/4 is not.

*The relation is transitive.

If a/b=z and b/c=y where z and y are integers, then a=bz and b=cy.

This means a=cyz. This implies a/c=yz.

Since the product of integers is an integer, then (a,c) is in the relation provided (a,b) and (b,c) are in the relation.

*The relation is antisymmretric.

Assume (a,b) is an R. (Note: a,b are natural numbers.) This means a/b is an integer. This also means a is either greater than or equal to b. If b is less than a, then (b,a) is not in R. If a=b, then (b,a) is in R. (Note: b/a=1 since b=a)

6 0
3 years ago
Protozoa are single-celled organisms. Paramecium aurelia is one type of protozoan. The number of paramecium aurelia doubles ever
Sphinxa [80]

Answer:

16 days

Step-by-step explanation:

Given that:

Number of paramecium Aurelia doubles every 1.25days

5 days ago ; number of paramecium Aurelia = 1

How many are there now?

Using the relation :

Multiplier^(total number of days / time it takes to multiply)

Multiplier = doubles = 2

Total number rof days =. 5

Time it takes to. Multiply = 1.25

The formula becomes :

Number(n) of ptotozoan in 5days is given by 2^(5/1.25)

n = 2^(5/1.25)

n = 2^4

n = 2 * 2 * 2 * 2 =. 16

5 0
3 years ago
2 1/2 divided by (-1 3/4)
Gekata [30.6K]

Answer:

-1 3/7

Step-by-step explanation:

-1 \frac{3}{7}

4 0
3 years ago
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