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Aleksandr [31]
3 years ago
5

Given that x and y are positive integers and (x·2)+x(2^2)+(y·2^3)+(y·2^4)=42, what is the value of xy?

Mathematics
1 answer:
Gelneren [198K]3 years ago
8 0

Answer:

The numbers are x = 3 and y = 1. Therefore the value of xy is 3.

Step-by-step explanation:

In order to calculate the numbers we will simplify the equation, this is done bellow:

2*x + x(2^2) + (y*2^3) + (y*2^4) = 42

2*x + 4*x + 8*y + 16*y = 42

6*x + 24*y = 42

We can divide the whole equation by 6, so we have:

x + 4*y = 7

The only possible combination of numbers that are positive and integers that will make the equation valid is x = 3 and y = 1. Therefore he value of xy is 3.

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If x+y = 3, xy =2 what is the value of x‌3+y3​
dimaraw [331]

Answer:

- 18

Step-by-step explanation:

As

(x+y)^3=x^3+y^3+3xy(x+y)

By substituting values,

27-18=x^3+y^3

=》x^3+y^3=9

3 0
4 years ago
Read 2 more answers
ASHANTI AND MARIA WENT TO THE STORE TO BUY SNACKS FOR THEIR BACK TO SCHOOL PARTY. THEY BOUGHT BAGS OF CHIPS,PRETZELS,NACHOS. THE
MissTica

Answer:X(2X-23)/(X-12)


Step-by-step explanation:

C = Chips = X

P = Pretzels

N = Nachos


First: X  (number of bags of Chips)

Second: 4P=X  (number of bags of pretzels)

Third: P=(P-3)N (number of bags of Nachos)

we need to simplify them and add them.

they bought:

X + 4P + (P-3)N in total


from the Nachos we can see: N= P/(P-3)

and from the Pretzels: 4P=X       X=4P     Therefore P=X/4

Also: N=(X/4)/((X/4)-3)

Replace:

X+ X + (X/4)/ ((X/4)-3)

2X+ 4/X/((X/4)-3) = 2X+(X/4)/((x-12)/4)

2X+X/4*4/(X-12)

2X+X/(X-12)

(2X*(X-12)+X)/(X-12)

(2X^2-24X+X)/(X-12)

X*(2X-23)/(X-12)



3 0
3 years ago
The ratio of raisins to all M&M's in one bag of trail mix is 1:4. The ratio of peanut M&M's to plain M&M's is 2:3. I
antoniya [11.8K]

Answer:

  48

Step-by-step explanation:

Multiplying the ratio of raisins to M&Ms by 20, we find there are a total of 80 M&Ms in the bag.

 raisins : M&Ms = 1 : 4 = 20 : 80

The ratio of peanut to plain M&Ms is 2 : 3, a total of 2+3 = 5 ratio units. These stand for a total of 80 M&Ms, so each ratio unit of M&Ms stands for 80/5 = 16 M&Ms. That is ...

  peanut : plain = 2 : 3 = 32 : 48

There are 48 plain M&Ms in the bag.

3 0
3 years ago
Why is this 1 and not 0? Steps please? Y^0=1. Why is it equal to 1 and not 0? Please really explain this because I’m still convi
Volgvan
y^x:y^x = 1 because a:a=1 for every a 

but y^x:y^x=y^(x-x)=y^0

Ex: 2^3:2^2=2^(3-2)=2
       8:4=2


⇒ y^0=1


4 0
3 years ago
Patrick receives 14 phone calls in a week. Andrew receives 10 phone calls. David receives 8 phone calls. George receives 11 phon
swat32

Answer:

43 phone calls

Step-by-step explanation:

Just add them up

14+10+8+11

This is equal to 43

4 0
3 years ago
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