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Dennis_Churaev [7]
2 years ago
14

Solve the system of equations 4x+5y=-1 and -5x-8y=10 by combining the equations.

Mathematics
1 answer:
Nimfa-mama [501]2 years ago
6 0

The solution of the equation are as follows:

x = 6 and y = -5

<h3 />

<h3>How to solve the system of equation?</h3>

4x + 5y = -1

-5x - 8y = 10

Therefore,

20x + 25y = -5

-20x - 32y = 40

-7y = 35

y = -5

Hence,

4x + 5(-5) = -1

4x - 25 = -1

4x = -1 + 25

4x = 24

x = 24 / 4

x = 6

learn more on equation here:brainly.com/question/14383993

#SPJ1

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jonny [76]

Answer:

58 ≤ 6r - 6

64 ≤ 6r

10.3 ≤ r

Step-by-step explanation:

6 0
3 years ago
Peanuts are $2 a pound and raisins are $4 a pound. Julian bought a 7 pound mixture of peanuts and raisins for $20. How many poun
Elena-2011 [213]

Answer:

there was 3 pounds of raisins and 4 pounds peanuts.

Step-by-step explanation:

4 times 3 =12 and 2 times 4 = 8. 3+4=7 so 7 pounds. 12+8=20 so $20.

4 0
3 years ago
The $414 price charges a store for a small refrigerator consists of the refrigerator's original cost to the store plus a profit
navik [9.2K]

Answer:

<h2>$351.9</h2>

Step-by-step explanation:

the question is not formatted well

<em>A store charges $414 for a small refrigerator, the price consists of the refrigerator's original cost to the store plus a profit 15% what was the refrigerator's original cost to the store?</em>

Step one:

given data

we are told that the price of the small refrigerator contains both the original price and 15% profit

mathematically

$414= original price + 15% profit

Step two:

let us solve for 15% of 414

=(15/100)*414

=0.15*414

=$62.1

This shows that the profit is $62.1

let the original price be x

$414= x + 62.1

solve for x

x=414-62.1

x=351.9

<u>The refrigerator's original cost to the store $351.9</u>

4 0
3 years ago
4.48 Same observation, difference sample size: Suppose you conduct a hypothesis test based on a sample where the sample size is
Lemur [1.5K]

Answer:

P-value is lesser in the case when n = 500.

Step-by-step explanation:

The formula for z-test statistic can be written as

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } } =\frac{(x-\mu)\sqrt{n}}{\sigma}

here, μ = mean

σ= standard deviation, n= sample size, x= variable.

From the relation we can clearly observe that n is directly proportional to test statistic. Thus, as the value of n increases the corresponding test statistic value also increases.

We can also observe that as the test statistic's numerical value increases it is more likely to go into rejection region or in other words its P-value decreases.

Now, for  first case when our n is 50 we will have a relatively low chance of accurately representing the population compared to the case when n= 500. Therefore,  the P-value will be lesser in the case when n = 500.

6 0
3 years ago
Need help plz !!!!!!!<br> Due today
Serggg [28]

Answer:

I know a little of this

Step-by-step explanation:

ok so what you do is for example take both of the small equation with the same variable and equal them to each other then plug in to the other

ex. 7x-31 =5x-8 solve this the plug what you get into the y in equation 4(y) +27

7 0
3 years ago
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