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4 years ago

1/2(c-3)+3/4c>1/2(2c+3)+3/8

Mathematics

1 answer:

ozzi4 years ago

4 0

Simplify 1/2(c - 3) to c - 3/2

c - 3/2 + 3/4c > 1/2(2c + 3) + 3/8

Simplify 3/4c to 3c/4

c - 3/2 + 3c/4 > 1/2(2c + 3) + 3/8

Simplify 1/2(2c + 3) to 2x + 3/2

c - 3/2 + 3c/4 > 2c + c/2 + 3/8

Multiply both sides by 4 (The LCM of 2, 4)

2(c - 3) + 3c > 2(2c + 3) + 3/2

Expand

2x - 6 + 3c > 4c + 6 + 3/2

Simplify 2c - 6 + 3c to 5c - 6

5c - 6 > 4c + 6 + 3/2

Simplify 4c + 6 + 3/2 to 4c + 15/2

5c - 6 > 4c + 15/2

Add 6 to both sides

5c > 4c + 15/2 + 6

Simplify 4c + 15/2 + 6 to 4c + 27/2

5c > 4c + 27/2

Subtract 4c from both sides

5c - 4c > 27/2

Simplify 5c - 4c to c

c > 27/2

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Marcus earns money from feeding cats and answering emails. He earns $7 a week for each cat he feeds and $0.20 for each email he

Dmitry_Shevchenko [17]

A.
7 times number of cats=pay
if pay=49 then
7 times number of cats=49
divide both sides by 7
number of cats=7

da equaton can be
c=number of cats
7c=49

he fed 7 cats

B.

7c=49
divide both sides by 7
equality property of division
(7c)/7=49/7
math fact
(7/7)c=7
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identity property of division
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identity property of multiplication
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3 years ago

Draw a number line to represent the inequality. 8>x

Lilit [14]

Thts the answer because 8 is bigger than X the arrow goes to the left because 8 is bigger than numbers 1-7

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4 years ago

A truck can be rented from Company A for $120 a day plus $0.50 per mile. Company B charges $50 a day plus $0.70 per mile to

Oksanka [162]

120+.5x=50+.7x
Subtract 50 from both sides and then subtract .5x from both sides to get 70=.2x. Then divide both sides by .2 to get x=350.

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4 years ago

Graph y= 2/3x-4 How do I graph this?

umka21 [38]

Answer:

Read below !!

Step-by-step explanation:

Since you are already given the full equation, you would just follow the steps of plotting a line! I start usually by plotting the y-intercept, which is always on the y-axis. In this case, that would be -4 ! You mark -4 on the line, and from there, you would use RISE/RUN to find out the slope of the line. Since it's 2/3, you would rise 2, and go to the right 3, all from the point -4. You should do that about two times in order to get your line !!

I hope this helps !!

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3 years ago

Round off square root of 120 to the nearest whole number?

Westkost [7]

Answer:

Step-by-step explanation:

for this question we can look at the whole answer for the square root of 120 which equals 10.9544511501

$\sqrt{120} = 10.9544511501$

now looking at our answer (10.9544511501) we want to find the nearest WHOLE NUMBER. in the current answer the whole number is 10, followed by many decimals.

10.9544511501

but to find the nearest whole number we have to round the place value BEFORE our whole number. (in this case the 9)

10.9544511501

we can now look at this highlighted section of our equation and think... is 10.9 closer to 11 or 10. well logically, to get to 11 from 10.9 we only have to go up by 0.1, rather than to get to 10, where you have to subtract 0.9.

10.9 + 0.1 = 11

10.9 - 0.9 = 10

But to make it easier, remember the rule:

the place value one place to the RIGHT of what you're rounding to, is what determines the new number. (in this case the .9)

and as any number 5 or above rounds up, we can say that our new number, rounded to the nearest whole number equals 11

10.9 rounded to the nearest whole number = 11

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2 years ago