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valentinak56 [21]
3 years ago
13

2(3x - 1) + 2(4x + 5) = 8

Mathematics
2 answers:
professor190 [17]3 years ago
7 0

Distribute as we get,

[(3x*2)-(2*1)]+[(4x*2)+(5*2)]=8\\(6x-2)+(8x+10)=8

Remove the brackets,

6x-2+8x+10=8

Then combine,

14x+8=8

Move +8 to the right side and change the +8 to -8 (The operator must be the opposite when move to the other side.)

14x=8-8\\14x=0

Move 14 to the right side so we can find the value of x. (Because it's x multiply 14 then 0 will be divided by 14.)

x=\frac{0}{14}

Therefore, x = 0.

tigry1 [53]3 years ago
3 0

Answer:

x=0

Step-by-step explanation:

2(3x - 1) + 2(4x + 5) = 8

Distribute

6x -2 +8x +10 =8

Combine like terms

14x +8 = 8

Subtract 8 from each side

14x+8-8=8-8

14x =0

Divide each side by 14

14x/14 = 0/14

x=0

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coldgirl [10]

Answer:

1 mile/hr

Step-by-step explanation:

Let the Speed of the boat still in water = a

Speed of the current = b

We know from this formula that speed = distance/time

Hence,

A canoe traveled Downstream with the current and went a distance of 15 miles in three hours.

Downstream = a + b = 15/3

a + b = 5 .........Equation 1

On the return trip, the canoe traveled Upstream against the current. It took 5 hours to make the return trip.

Upstream = a - b = 15/5

a - b = 3 ..............Equation 2

Combining both Equation together

a + b = 5 .........Equation 1

a - b = 3 ..............Equation 2

Subtracting Equation 2 from Equation 1

2b = 2

b = 2/2

b = 1miles/hr

Since b = speed of the current which can also be called rate of the current, the rate of the current = 1 miles/hr

4 0
3 years ago
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neonofarm [45]
AD and FC are perpendicular so they make a 90 degree angles. Angle BDC is equal to angle FDE so its 25. then u take 90 and subtract 25 to find the anser your looking for... so its 65
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A rectangular lawn has an area of 140 square yards. Its width is 6 yards less
Katarina [22]

Answer:

length : 10 yard

width: 14  yard

Step-by-step explanation:

Let l be the length of the yard.

Since the width is 6 yards less than twice its length, we can say the width is 2l-6.

With width x length=area,

l (2l -6) = 140

2l^2 - 6l = 140

2l^2 - 6l - 140 = 0

Using the quadratic formula,

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since the length should not be negative,

the length is 10 yard.

Now substitute l=10 into 2l-6.

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Answer:

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Step-by-step explanation:

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