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3 years ago

Solve (3x-4)-(5x-3) and simplify the answer!

Mathematics

1 answer:

AnnyKZ [126]3 years ago

7 0

Answer:

-2x-1

Step-by-step explanation:

(3x-4)-(5x-3)

Distribute the minus sign

3x-4-5x+3

Combine like terms

3x-5x -4+3

-2x-1

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Paulo can run a marathon in four hours and 20 minutes. If he's able to cut of 18% of his time, how long will it take him to run

Inga [223]

Cut out 18%
100=all,
all-cut out=remaining
100-18=82

4hrs 20mins=240+20mins=260mins
82% of 260 is 0.82*20=213.2=3 hours and 33.2 minutes

he can runi s 3 hours and 33.2 minutes

7 0

3 years ago

Estimate the difference by rounding each number to the nearest half or whole. 7 1/15 - 3 4/5

bearhunter [10]

7 1/15 to the nearest whole would be 7. 3 4/5 to the nearest whole would be 4.

7 – 4 = 3

3 0

3 years ago

This histogram shows the numbers of people who volunteered for community service and the number of hours they worked.

Inga [223]

The correct answer is :85

You can find this out because you would count by fives so : 5, 10, 15, 20, 25 so there are 25 volunteers in the 11-15 hours worked so you would add that to the 21-25 also known as 10 hours worked you also have to add 16-20 also known as 50 so add all that and you get 50 + 25 + 10 = 85

So it's 85
I hope this helped! =)

4 0

3 years ago

An ounce of milk contains 20 milligrams of calcium and 60 micrograms of vitamin A.

vova2212 [387]

Answer:

10 ounces of milk and 50 ounces of orange juice

Step-by-step explanation:

Let the amount of milk be x ounces and the amount of orange juice be y ounces.

1. An ounce of milk contains 20 milligrams of calcium and 60 micrograms of vitamin A. Then x ounces of milk contain 20x milligrams of calcium and 60x micrograms of vitamin A.

2. An ounce of orange juice contains 40 milligrams of calcium and 10 micrograms of vitamin A. Then y ounces of orange juice contain 40y milligrams of calcium and 10y micrograms of vitamin A.

Calcium:

20x milligrams in milk

40y milligrams in orange juice

2,200 milligrams in total

Hence,

$20x+40y=2,200$

Vitamin A:

60x micrograms in milk

10y micrograms in orange juice

1,100 micrograms in total

Hence,

$60x+10y=1,100$

Solve the system of two equations:

$\left\{\begin{array}{l}20x+40y=2,200\\ \\60x+10y=1,100\end{array}\right.$

Divide each equation by 10:

$\left\{\begin{array}{l}2x+4y=220\\ \\6x+y=110\end{array}\right.$

From the second equation:

$y=110-6x$

Substitute it into the first equation:

$2x+4(110-6x)=220\\ \\2x+440-24x=220\\ \\2x-24x=220-440\\ \\-22x=-220\\ \\22x=220\\ \\x=10\\ \\y=110-6\cdot 10=110-60=50$

6 0

3 years ago

The number of students in a geometry class is four

stira [4]

Answer:

Step-by-step explanation:

Givens

Let the number in the Spanish Class = x

Then the number in the Geometry Class = (4/5) x

Equation

x + (4/5)x < 54

Solution

x + (4/5)x < 54

4/5 = 0.8

x + 0.8x < 54

1.8x < 54 Divide both sides by 1.8

1.8x / 1.8 < 54/1.8

x < 30

The sign used in the equation is less than, not less than or equal to.

The number of students taking Spanish cannot equal 30. There must be 29 in the Spanish Class.

6 0

3 years ago