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3 years ago

-8x - 8y = 0 and -5x - 4y = 5. Solve the system of equations

Mathematics

2 answers:

Gre4nikov [31]3 years ago

6 0

Answer:

x=-5 and y=5

Step-by-step explanation:

You can change both of the equations by:

-1(-8x-8y)=-1(0)

2(-5x-4y)=2(5)

Then they become:

8x+8y=0

-10x-8y=10

Add both equations onto one another and you get:

-2x=10 with x=-5

Plug back x=-5 into either equation (original or changed)

-8(-5)-8y=0

40-8y=0

40=8y

y=5

Rashid [163]3 years ago

4 0

Answer:

x=-5, y=5 or (-5,5)

Step-by-step explanation:

We can do elimination with this

this means we should first multiply -5x-4y=5 by 2

this would make it -10x-8y=10

we can now subtract this from the original equation

-8x-8y=0 - (-10x-8y=10)

the ys would cancel out

so this would equal

2x=-10

x=-5

now we can plug this back into the equation to find y

-8(-5)-8y=0

40-8y=0

-8y=-40

y=5

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On average, Sasha can drive 28 miles on every gallon of gasoline.

sweet [91]

Answer:

$27

Step-by-step explanation:

336/28= 12

13×2.25= 27

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3 years ago

Help me lol<br> this was due last week

pochemuha

Answer:

Step-by-step explanation:

1) Distribute -5 to each of the terms: -5a + 5b - 5

2) Take out the GCF which is 6y: 6y(3x + 1)

3) Distribute - 2/5: 9x - 4y

4) Take out the GCF which is 3: 3(-4d + 3e - 5)

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3 0

3 years ago

Read 2 more answers

Twenty-seven solid gold spherical beads each of radius 3 are melted down and recast into a larger, solid gold sphere. How many u

Mnenie [13.5K]

<h3>Answer: 9 units</h3>

===================================================

Explanation:

Let's calculate the volume of one small spherical bead

V = (4/3)*pi*r^3

V = (4/3)*pi*3^3

V = 36pi

The volume of 27 such identical beads is 27*36pi = 972pi cubic units.

----------

This is the new volume and we'll use this to find the radius r of the larger sphere.

V = (4/3)*pi*r^3

972pi = (4/3)*pi*r^3

3*972pi = 4pi*r^3

2916pi = 4pi*r^3

r^3 = (2916pi)/(4pi)

r^3 = 729

r = (729)^(1/3)

r = 9 units is the radius of the larger gold sphere

6 0

3 years ago

When finding the margin of error for the mean of a normally distributed population from a sample, what is the critical probabili

svlad2 [7]

Critical probability is the essentially cut-off value. The critical probability when the confidence level of 58% is 0.79.

<h3>What is the critical probability?</h3>

Critical probability is the essentially cut-off value that defines the region where the test statistic is unlikely to lie.

As it is given that the confidence level is 58%. therefore, in order to calculate the critical probability, we need to calculate the margin of error within a set of data, and it is given by the formula

$\rm Critical\ Probability, (P*) = 1-\dfrac{\alpha }{2}$

where the value of the α is expressed as,

$\alpha= 1 -\dfrac{\rm Confidence\ interval}{100}$

Now, as the confidence interval is given to us, therefore, the value of the alpha can be written as,

$\alpha= 1 -\dfrac{\rm 58\%}{100} = 0.42$

Further, the critical probability, assuming a confidence level of 58% is,

$\rm Critical\ Probability, (P*) = 1-\dfrac{\alpha }{2}\\\\\rm Critical\ Probability, (P*) = 1-\dfrac{0.42}{2} = 0.79$

Hence, the critical probability is 0.79.

Learn more about Critical Probability:

brainly.com/question/5625386

6 0

2 years ago

If the 6 in 14,563 was changed to a 9, how much would the value change

monitta

Answer:

It would be 30 more.

Step-by-step explanation:

14,593 - 14,563 = 30

3 0

3 years ago