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Karolina [17]
4 years ago
12

Solve this equation -3x+1+10x=x+4

Mathematics
2 answers:
umka21 [38]4 years ago
5 0
<span>-3x+1+10x = x + 4
       7x + 1 = x + 4
       7x - x  = 4  - 1
         6x     = 3
           x =3/6
           x = 1/2</span>
Salsk061 [2.6K]4 years ago
3 0

Answer: x=\frac{1}{2}

Explanation:

We have been given with the equation -3x+1+10x=x+4

We will collect the terms that are written in variable of x in one side and the constant values on the other side we will get

-3x+10x-x=4-1

After simplification we will get  6x=3

which implies x=1/2

When x from right hand side shift  will shift to left hand side it will change its sign and similarly when 1 from left hand side shift to right hand side change its sign.

Therefore, x=1/2

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Answer:

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Step-by-step explanation:

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8 0
3 years ago
Callie has 2 cans of orange paint with 4.5 gallons in each can. She also has 910 of a gallon of black paint. Her brother took 0.
Solnce55 [7]

Answer:

The total amount of paint left is 1.6 gallon of paint remaining

Where she has:

1.5 gallon of orange paint left and 0.1 gallon of black paint left.

Step-by-step explanation:

Step 1

Callie has 2 cans of orange paint with 4.5 gallons in each can.

The total gallons of orange paint that she has is given as:

1 can = 4.5 gallons

2 cans = x gallons

Cross Multiply

x = 4.5 gallons × 2 cans

x = 9 gallons of orange paint.

She also has 9/10 of a gallon of black paint.

Her brother took 0.8 gallon of the black paint

and 3.75 gallons from each of the cans of orange paint.

Since there are 2 cans, the total gallons of orange paint that her brother took = 2 × 3.75 gallons

= 7.5 gallons

Step 2

For orange paint

The amount of orange paint that she has left = 9 gallons - 7.5 gallons

= 1.5 gallons of orange paint left.

For black paint

We are told that: She also has 9/10 of a gallon of black paint.

Converting to decimal

= 0.9 gallon of black paint.

Her brother took 0.8 gallon of the black paint

The total gallon of black paint that she has left =

0.9 gallon - 0.8 gallon

= 0.1 gallon of black paint left.

The total amount of paint Callie has remaining after her brother took the stated amounts is:

1.5 gallon of orange paint + 0.1 gallon of black paint = 1.6 gallon of paint remaining

4 0
3 years ago
Diego measured the length of a pen to be 22 cm. The actual length of the pen is 23 cm. Which of these is closest to the percent
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Answer: its either a or b

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3 years ago
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The new pencil was 19 centimeters long. How many millimeters long was the pencil?
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7 0
4 years ago
Read 2 more answers
Two trains leave towns 1490 kilometers apart at the same time and travel toward each other. One train travels 20 km/h slower tha
antiseptic1488 [7]

Answer:

the rate of each train is 139 km/h and 159 km/h.

Step-by-step explanation:

let

v = the rate of the slower train

v + 20 = the rate of the faster train

d = 1490 km the distance that the two train will travel

t = 5 hr the time of the travel

since speed = distance/time => distance = speed*time

v*t + (v+20)t = d

5v + 5(v + 20) = 1490

5v+5(v+20)=1490

Step 1: Simplify both sides of the equation.

5v+5(v+20)=1490

5v+(5)(v)+(5)(20)=1490(Distribute)

5v+5v+100=1490

(5v+5v)+(100)=1490(Combine Like Terms)

10v+100=1490

10v+100=1490

Step 2: Subtract 100 from both sides.

10v+100−100=1490−100

10v=1390

Step 3: Divide both sides by 10.

10v/10 = 1390/10

v = 139km/h

Next

we add 139 to 20

139 + 20 = 159 km/h

the rate of each train is 139 km/h and 159 km/h.

7 0
3 years ago
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