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VARVARA [1.3K]
3 years ago
15

Two numbers differ by 13 and the sum of their squares is 125 find the numbers

Mathematics
1 answer:
tiny-mole [99]3 years ago
3 0
Algebraically:

|y-x|=13
x^2+y^2=125

The numbers are -2 and 11.  



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I'm trying to find out the number of how much it cost to wrap each present, day one 41 small gifts were wrapped and 45 large wer
Licemer1 [7]

Answer:

Small gift: $2

Large gift: $7

Step-by-step explanation:

Let x represent cost of wrapping each small gift and y represent cost of wrapping each large gift.

We have been given that day one 41 small gifts were wrapped and 45 large were wrapped equaling $397.

We can represent this information in an equation as:

41x+45y=397...(1)

We are also told that day two 30 small gifts were wrapped and 47 large were wrapped equaling $389. We can represent this information in an equation as:

30x+47y=389...(2)  

From equation (1), we will get:

x=\frac{397-45y}{41}

Upon substituting this value in equation (2), we will get:

30(\frac{397-45y}{41})+47y=389

\frac{11910-1350y}{41}+\frac{47*41y}{41}=389

\frac{11910-1350y+1927y}{41}=389

\frac{11910+577y}{41}=389

\frac{11910+577y}{41}\cdot 41=389\cdot 41

11910+577y=15949

11910-11910+577y=15949-11910

577y=4039

\frac{577y}{577}=\frac{4039}{577}

y=7

Therefore, cost to wrap a large gift is $7.

Upon substituting y=7 in equation x=\frac{397-45y}{41}, we will get:

x=\frac{397-45(7)}{41}

x=\frac{397-315}{41}

x=\frac{82}{41}

x=2

Therefore, cost to wrap a small gift is $2.

8 0
3 years ago
It is expected that 563 quadrillion thermal units of Btu (British thermal units) of energy will be
Evgesh-ka [11]

Answer:

the expected rate of change in consumption is 11.83

Step-by-step explanation:

The computation of the expected rate of change in consumption is shown below:

= (Expected quadrillion thermal units - 2003 quadrillion thermal units) ÷ (difference in years)

= (563 - 421) ÷ (2015 - 2003)

= 142 ÷ 12

= 11.83

hence, the expected rate of change in consumption is 11.83

We simply applied the above formula so that the correct value could come

And, the same is to be considered

3 0
3 years ago
The surface area of the world is about 7/10 water. If a very small, non-dangerous meteoroid lands on the earth, what is the prob
galben [10]

Answer: 3/10 probability

Step-by-step explanation:

We are telling the probability with tenths, so we can say that the probability of the meteoroid landing on Earth is 3/10.

If the surface area of the world is approximately 7/10, or 70 percent, water, there is approximately 3/10, or 30 percent, chance of the meteoroid hitting land.

I'm pretty sure, at least ^_^

7 0
3 years ago
Read 2 more answers
A yardstick casts a shadow of 24 in. at the same time a telephone pole casts a shadow of 20 ft 8 in. What is the height of the t
BabaBlast [244]
1 yd = 36 in;  20 ft 8 in = 248 in;
We will use a proportion:
36  : 24 = x : 248
24 x = 36 * 248
24 x = 8,928
x = 8,928 : 24 = 372
Answer:  C ) 372 in
5 0
3 years ago
pin Co. has $52,000 in its Cash account, $20,000 in its Inventory account, and $12,000 in its Notes Payable (short-term) account
KatRina [158]

Answer:

60000

Step-by-step explanation:

Assets - liabilities = share holder equity

(52,000+20,000)−12,000=60000

5 0
3 years ago
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