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liubo4ka [24]
3 years ago
8

8/3 = 2+X what is the single step answer

Mathematics
2 answers:
SashulF [63]3 years ago
7 0
1. 8/3= 2+x   
2. 8= 6+3x
3. 8-6 = 3x
4. 2= 3x
5. 2/3 =x
Klio2033 [76]3 years ago
4 0
2/3 is the answer hope this helps
You might be interested in
Rachel runs 2km to her bus stop, and then rides 4.5 km to school. On average, the bus is 45 km/h faster than Rachel's average ru
Mice21 [21]

Answer:6.042km/h 6km/h approximately

Step-by-step explanation:

First off we have to know the formula relating speed, distance and time which is

Speed = distance/time

Now we are looking for Rachel's running speed

We are to find Rachel's running speed, so let's label is x

We are given that the distance Rachel runs to her bus stop is 2km

We were not given the time she uses to run to the bus stop

So let's label the time Rachel uses to run to her bus stop as y

So from the formula speed = distance/time

We have x = 2/y

Now we are told that the speed the bus uses to get to school is 45km/h faster than her speed used to run

So speed of bus = 45 + x

And the overall time for the whole journey is 25mins, changing this to hours, because the speed details given is in km/h we divide 25 by 60 which will give 0.417

Now if the total time is 0.417 hours, and we labeled the time for Rachel to run to the bus as y, so the time for the time for the bus to get to school will be 0.417 - y

We are also told the bus rides for 4.5km to school

So adding this together to relate the speed, distance and time of the bus with the formula speed = distance/time

We get 45 + x = 4.5/(0.417 - y)

So we have two equations

x = 2/y (1)

45+x = 4.5/(0.417-y) (2)

So putting (1) in (2) we have

45 + (2/y) = 4.5/(0.417-y)

Expanding further

(45y + 2)/y = 4.5(0.417-y)

Cross multiplying

(45y + 2)(0.417 - y) = 4.5y

Opening the brackets

18.765y - 45y2 + 0.834 - 2y = 4.5y

Collecting like terms

-45y2 + 18.765y -2y - 4.5y + 0.834 = 0

-45y2 + 12.265 + 0.834 = 0

Dividing all sides by -45 to make the coefficient of y2 1

y2 - 0.273y - 0.019 = 0

Now we have gotten a quadratic equation, and since it's with decimal numbers we can use either completing the square method of almighty formula

I'm using almighty formula her

For solving

ax2 + bx + c = 0

x = (-b +-root(b2-4ac)/2a

For our own equation, we are finding y

From our our quadratic equation

a = 1, b=-0.273, c = -0.834

you = (-(-0.273)+-root(-0.273-4(1)(-0.019))/2(1)

y = (273+-root(0.151))/2

y = (0.273+0.389)/2 or (0.273-0.389)/2

y = 0.331 or -0.085

So we use the positive answer which is 0.331, because time can't be negative

Then we put y = 0.331 in (1)

x = 2/y

x = 2/0.331

x = 6.042km/h

x = 6km/h approximately

4 0
3 years ago
How do you solve this problem and what did you do to gain the answer 1/64+5/8-3/32=?
valentinak56 [21]
The answer is 35/64 or 0.546875 in decimal form

first we write all numerators above the least common denominator 64
1+40-6
————
64

next we solve the numerators by doing 1+40-6 to get 35/64

3 0
3 years ago
Read 2 more answers
5/20 = z/8 what does z equal
weeeeeb [17]

Answer:

z=2

Step-by-step explanation:

5/20=z/8

Rewrite the equation as z/8=5/20

z/8=5/20

Multiply both sides of the equation by 8.

8⋅z8=8⋅520

Simplify both sides of the equation.

z=2

Hope this helps! Plz mark as brainliest! :)

5 0
3 years ago
​you are taking a math course in which there will be four​ tests, each worth 100 points. you have scores of 89​, 93​, and 98 on
sergij07 [2.7K]

89+93+98 = 280

360 - 280 = 80 marks is needed for the last test

8 0
3 years ago
the graph of y= 6cos (x-2) - 3 is obtained by shifting the graph of y=6 cos x-3 horizontally 3 units to the right. true or false
Neporo4naja [7]

Answer:

false.

Step-by-step explanation:

Given the function g(x) = f(x − k), can be sketched f(x) shifted k units horizontally. if k is negative, the function is shifted k units to the left.

Given the function g(x) = f(x) + k, we can say that the function is translated vertically upwards k times. If k is negative, the function is translated vertically downwards k times.

In this case, the function is translated two units to the right and 3 units down because the number "-3" is negative.

So it's false. The graph is translated three units downwards and 2 units to the right.

5 0
3 years ago
Read 2 more answers
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