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3 years ago

Solve using the substitution method

Mathematics

1 answer:

dlinn [17]3 years ago

3 0

You are told x = 8y -4

Replace x in the second equation with 8y-4:

8y-4 + 8y = 6

Combine like terms:

16y-4 = 6

Add 4 to both sides:

16y = 10

Divide both sides by 16:

Y = 10/16

Simplify:

Y = 5/8

Now replace y with 5/8 do find x:

X = 8(5/8) -4 = 5-4 = 1

X = 1, y = 5/8

(1,5/8)

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What is the diameter of a circle with a circumference of 12 pii units

klemol [59]

The diameter is equal to 12.

5 0

3 years ago

Tom sees an enormous thundercloud approaching

ikadub [295]

Using the slope concept, it is found that the thundercloud is 6.43 miles above the ground.

<h3>What is a slope?</h3>

The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.

In this problem, we have that:

The angle is of 65º.

The vertical distance is the height h.

The horizontal distance is of 3 miles, as the sound takes 5 seconds to travel 1 mile, and it took 15 seconds.

Hence:

tan(65º) = h/3.

h = 3 x tan(65º)

h = 6.43 miles.

The thundercloud is 6.43 miles above the ground.

More can be learned about the slope concept at brainly.com/question/18090623

#SPJ1

3 0

2 years ago

Amber has determined that the experimental probability of making a free throw in basketball is 12/15. What it the probability of

nalin [4]

Answer:

3/15, 1/5, or 0.2 probability. Highly unlikely

Explanation:

12/15 is the shown probability. The leftover is 3/15, so 3/15 is the chance of missing the basket.

~Hope this helps~

6 0

3 years ago

6 = z/4.5<br><br> please answer

Veseljchak [2.6K]

Answer: z= 1.3

Divide both side by 4.5

6 0

3 years ago

100000/222<br>solve with proper steps and find the remainder

Mrac [35]

Answer: 450 rest 100

Step-by-step explanation:

So, we need to calculate this division 100.000/222 and get the rest.

Well, 222 enters in 1000 by 4 times.

222 times 4 is 888

So, 100.000/222 = 4

888-

We subtract 888 from 1000.

That will be 112

100.000/222 = 4

888

112

Now, get the next 0 down next to 112

100.000/222 = 4

888

1120

222 get in 1120 by 5 times.

5 times 222 = 1110

divide 1120 by 1110

100.000/222 = 45

888

1120

1110

That will be 10

100.000/222 = 45

888

1120

==10

Get the next zero down

100.000/222 = 45

888

1120

==100

222 gets in 100 by 0 times.

100.000/222 = 450

888

1120

==100

100 subtracted by 0 is 100

100.000/222 = 450

888

1120

==100

100

The rest is 100 and the result is 450

Now, you can do the verification:

222 time 450 is 99,900.

If you add the rest to 99,900 it will be 100.000. So the result is good

5 0

2 years ago