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pochemuha
2 years ago
5

BRAINLIEST please solve 8 x 1/3 and show work!

Mathematics
2 answers:
luda_lava [24]2 years ago
5 0

Answer:

8/3 or 2 2/3

Step-by-step explanation:

8 is also equal to 8/1

8/1 x 1/3

you multiply the numerators to get 8

then multiply the denominators to get 3

Alenkasestr [34]2 years ago
4 0

8 x \frac{1}{3}

= \frac{8}{1} x \frac{1}{3}

= \frac{8 x 1}{1 x 3}

=\frac{8}{3}

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(x5 + y5) ÷ (x + y) please answer ASAP
Shkiper50 [21]

Answer:

\frac{x^5+y^5}{x+y}=x^4-x^3y+x^2y^2-xy^3+y^4

Step-by-step explanation:

Given the expression

\left(x^5+y^5\right)\div \left(x+y\right)

\mathrm{Apply\:factoring\:rule:\:}x^n+y^n=\left(x+y\right)\left(x^{n-1}-x^{n-2}y+\:\dots \:-\:xy^{n-2}\:+\:y^{n-1}\right)\:\quad \quad \mathrm{n\:is\:odd}

x^5+y^5=\left(x+y\right)\left(x^4-x^3y+x^2y^2-xy^3+y^4\right)

=\frac{\left(x+y\right)\left(x^4-x^3y+x^2y^2-xy^3+y^4\right)}{x+y}

Cancel the common factor: x+y

=x^4-x^3y+x^2y^2-xy^3+y^4

Thus,

\frac{x^5+y^5}{x+y}=x^4-x^3y+x^2y^2-xy^3+y^4

3 0
3 years ago
Justin and his friend Dan went to the movie. If they each bought popcorn for $4.25 and a soda for $2.25 what was their total bil
omeli [17]
2(4.25 + 2.25) = 2(6.50) = 13...this is the cost without the tax

13 + 0.05(13) = 13 + 0.65 = 13.65 <=== total with the sales tax added
5 0
4 years ago
Expand: In 2a3/b4<br> In 2 + 3 In a - 4 In b<br> In 2 - 3 In a - 4 In b<br> In 2-3 In a + 4 In b
weqwewe [10]

Answer:

ln(2) + 3ln(a) - 4ln (b)

Step-by-step explanation:

ln(2a^3 /b^4)

We know that ln(x/y) = ln (x) - ln y

ln(2a^3 ) - ln (b^4)

We know that ln (xy) = ln x + ln y

ln(2) + ln(a^3 ) - ln (b^4)

We know that ln(x^y) = y ln (x)

ln(2) + 3ln(a) - 4ln (b)

8 0
3 years ago
23)
Kaylis [27]

Answer:

90 degrees

Step-by-step explanation:

Step 1: State what is known

Notice that the 2 lines cut the square in half and create 4 congruant triangles.  We know a full circle is 360 degrees and the intersection is a perfect circle formed by 4 angles.  We can find the angle AEB by dividing 360 by 4 which gives you 90 degrees

8 0
3 years ago
Can someone please help me in one of these!?
Anarel [89]

Answer:

9) y = -200x + 1200

11) slope = -2

15) $2,450

16) 9 days

Step-by-step explanation:

9) Given the two points from the graph:

Let (x₁, y₁) = (0, 1200)

(x₂, y₂) =  (1, 1000)

Substitute these values into the following slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (1000 - 1200)/(1 - 0)

m = -200/1

m = -200

The slope of the line is -200.

Next, we need to determine the y-intercept, which is the point on the graph where it crosses the y-axis. Upon observing the graph, it shows that the line crosses at point (0, 1200). The y-coordinate of this ordered pair is the value of the y-intercept, b = 1200.

Therefore, the linear equation in slope-intercept form is y = -200x + 1200.

<h3>11) Given the points, (5, -18) and (-4, 0): </h3>

Let (x₁, y₁) =(5, -18)

(x₂, y₂) =  (-4, 0)

Substitute these values into the following <u>slope formula</u>:

m = (y₂ - y₁)/(x₂ - x₁)

m = \frac{0 - (-18)}{-4 - 5} = \frac{0 + 18}{-9} = -2

Therefore, the slope of the line is -2.

<h3>15) Solve:</h3>

Given the fixed fee of $200, and the $150 per hour after the initial meeting:

We can represent these in slope-intercept form:

y = 150x + 200

y = total cost for the Attorney's services

x = number of hours worked.

The y-intercept in this given problem is $200, which represents the flat fee charged for the initial meeting. While the slope in this equation is $150, which is the hourly rate that an Attorney charges his clients after the initial meeting.

If an Attorney works for 15 hours, then:

Let x = 15, and substitute its value into the equation to find the total cost:

y = 150x + 200

y = 150(15) + 200

y = 2,250 + 200

y = 2,450

Therefore, a client will pay a total of $2,450 for an Attorney's 15 hours of work.

<h3>16) Solve: </h3>

Given the water level on a Lake of 165 inches after a rainstorm, and the water level's receding rate of 3 inches per day:

We can establish the following linear equation to model this given problem:

L = -3d + 165

Where:

L = represents the water level of the Lake

d = number of days that the water level recedes

In order to find the number of days it will take before the water level recedes to 84 inches:

Substitute the value of L = 84 into the equation:

L = -3d + 165

84 = -3d + 165

Subtract 165 from both sides:

84 - 165 = 3d + 165 - 165

-27 = -3d

Divide both sides by  -3:

\frac{-27}{-3} = \frac{-3d}{-3}

9 = d

Therefore, it will take 9 days for the water level to be at 84 inches.

7 0
3 years ago
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