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Ivanshal [37]
4 years ago
8

Express the ratio 2 to 3 and 8 to 9 in lowest terms

Mathematics
1 answer:
Alex73 [517]4 years ago
8 0

\dfrac{2}{3}:\dfrac{8}{9}=\left(9\cdot\dfrac{2}{3}\right):\left(9\cdot\dfrac{8}{9}\right)=(3\cdot2):(1\cdot8)\\\\=6:8=\dfrac{6}{2}:\dfrac{8}{2}=3:4\\\\Answer:\ \boxed{\dfrac{2}{3}:\dfrac{8}{9}=3:4}

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One integer is 8​ times another. if the product of the two integers is 288, then find the integers.
Anarel [89]
One integer is x
another integer is y

x=8y
xy=288

(8y)(y)=288
8y^2=288
Divide both sides by 8
y^2= 36
The square root of 36 is 6
y=6

x=8y = 8(6) = 48
x=48
7 0
3 years ago
According to a survey of workers 6/50 of them walk to break 3/50 bike 10/50 carpool and 31/50 Drive alone what percent of worker
otez555 [7]

Answer:

Step-by-step explanation:

6+3=9/50

9/50 x  100=18 percent

7 0
2 years ago
Graph the system &amp; write its solution <br> 2x+y=-4<br> Y=-1/2x-1
xz_007 [3.2K]

Answer:

The solution of system of equation is (-2,0)

Step-by-step explanation:

Given system of equation are

Equation 1 :      2x+y=(-4)

Equation 2 :      y+\frac{1}{2}x=(-1)

To plot the equation of line, we need at least two points

For Equation 1 : 2x+y=(-4)

Let x=0

2x+y=(-4)

2(0)+y=(-4)

y=(-4)

Let x=1

2x+y=(-4)

2(1)+y=(-4)

y=(-6)

Therefore,

The required points for equation is (0,-4) and (1,-6)

For Equation 2 : y+\frac{1}{2}x=(-1)

Let x=0

y+\frac{1}{2}x=(-1)

y+\frac{1}{2}(0)=(-1)

y=(-1)

Let x=2

y+\frac{1}{2}x=(-1)

y+\frac{1}{2}(2)=(-1)

y=(-2)

The required points for equation is (0,-1) and (2,-2)

Now, plot the graph using this points

From the graph,

The red line is equation 1 and blue line is equation 2

Since. The point of intersection is solution of system of equations

The solution of system of equation is (-2,0)

6 0
3 years ago
Complete the inequality.
never [62]

Answer:

2+2-1

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Find the measure of angle P in the triangle below
andreyandreev [35.5K]

The diagonals of a parallelogram bisect each other. So, 

2x + 6 = 5x - 12 

-3x = -18 

x = 6 

2(6) +6 = 18 


2*18 = 36 


BD = 36


6 0
4 years ago
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