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oksano4ka [1.4K]
3 years ago
13

There are two mystery numbers. The sum of 2 times the first number and 5 times the second number is -5. The sum of 3 times the f

irst number and 10 times the second number is -5. What are the two numbers?
Mathematics
2 answers:
poizon [28]3 years ago
8 0

Answer:

X=-5,Y=1

Step-by-step explanation:

First equation: 2X+5Y=-5

Second equation:3X+10Y=-5

If we subtract the first from the second equation

(3X+10Y)-(2X+5Y)= 0 so, X+5Y= 0

So X= -5Y .then substitute in the second equation

So ,3(-5Y)+10Y= -5 , therefore -15Y + 10Y=-5 so, -5Y=-5 which means that Y=1

Then substitute with that in the first equation so 2X+5= -5

2X= -10 therefore X=-5

Leokris [45]3 years ago
5 0

Answer:

the two numbers are -5 and 1

Step-by-step explanation:

Let x and y be the first number and second number respectively.

According to the question, we can find 2 equations:

2x + 5y = -5

3x + 10y = -5

On solving,

x = -5

y = 1

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The expression x−y equals 0.7 if x and y have certain values. Evaluate the following expressions with the same values of x and y
lisov135 [29]

Answer:

-0.7

Step-by-step explanation:

x-y=0.7

You can choose any digits you wish for x and y but the difference must be 0.7. I chose 1.0 and 0.3.

x=1\\y=0.3\\x-y=0.7\\\\y-x=\\0.3-1=\\-0.7

3 0
2 years ago
A bank account yields 7 percent interest, compounded annually. If you deposit $1,000 in the account, what will the account balan
lianna [129]
Hi there
The formula is
A=p (1+r)^t
A future value?
P present value 1000
R interest rate 0.07
T time 5 years
So
A=1,000×(1+0.07)^(5)
A=1,402.55

It's a

Hope it helps
7 0
3 years ago
Which values are solutions to the inequality below? <br><br>Check all that apply.
Ronch [10]
You have to plug them in to see each solution, so the answers that apply would be 65 and 66 all the other answers are less than or equal to 8
3 0
3 years ago
Can u solve the answer
pickupchik [31]

Answer:

She needs 50 ft² of wood to cover the table

Step-by-step explanation:

You need to know the formula for area of a trapezoid, which is

A = (B1 + B2)h/s     (add the bases together, multiply by the height, then divide

                                by 2)

We are given B1 = 12, B2 = 8, and h = 5, so plug them in and simplify

A = (12 + 8)(5)/2

 

    A = (20)(5)/2

       A = 100/2

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5 0
3 years ago
Ignacio is curious about the average age of cars in the commuter lot at Mis large university. He takes a random
spin [16.1K]

Answer:

Between 12.614 years and 16.386 years

Step-by-step explanation:

Given that:

Mean age (μ) = 14.5 years, standard deviation (σ) = 4.6 years, number o sample (n) and the confidence interval (c) = 90% = 0,9

α = 1 -c = 1 -0.9 = 0.1

\frac{\alpha }{2}  = \frac{0.1}{2} = 0.05

The z score of \alpha /2 is the same as the z score of 0.45 (0.5 - 0.05). This can be gotten from the probability distribution table. Therefore:

z_{0.05}=1.64

The margin of error (e) = z_{0.05}\frac{\sigma}{\sqrt{n} } = 1.64*\frac{4.6}{\sqrt{16} }=1.886

The interval = μ ± e = 14.5 ± 1.886 = (12.614 ,16.386)

4 0
3 years ago
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