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3 years ago

10

24 x1/3

1 answer:

hodyreva [135]3 years ago

5 0

9514 1404 393

Answer:

8

Step-by-step explanation:

$24\times\dfrac{1}{3}=\dfrac{24}{3}= \dfrac{3\cdot8}{3}=\dfrac{3}{3}\cdot8 = 1\cdot8 = \boxed{8}$

__

Multiplying by 1/3 is the same as dividing by 3.

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Please help! i dont understand

kvv77 [185]

QUESTION 1

The given inequality is

$y\leq x-3$ and $y\geq -x-2$ .

If (3,-2) is a solution; then it must satisfy both inequalities.

We put x=3 and y=-2 in to both inequalities.

$-2\leq 3-3$ and $-2\geq -3-2$ .

$-2\leq 0$ :True and $-2\geq -5$ :True

Both inequalities are satisfied, hence (3,-2) is a solution to the given system of inequality.

QUESTION 2

The given inequality is

$y\:>\:-3x+3$ and $y\:>\: x+2$ .

If (1,4) is a solution; then it must satisfy both inequalities.

We put x=1 and y=4 in to both inequalities.

$4\:>\:-3(1)+3$ and $4\:>\: 1+2$ .

$4\:>\:0$ :True and $4\:>\: 3$ :True

Both inequalities are satisfied, hence (1,4) is a solution to the given system of inequality.

Ans: True

QUESTION 3

The given inequality is

$y\leq 3x-6$ and $y\:>\: -4x+2$ .

If (0,-2) is a solution; then it must satisfy both inequalities.

We put x=0 and y=-2 in to both inequalities.

$-2\leq 3(0)-6$ and $-2\:>\: -4(0)+2$ .

$-2\leq -6$ :False and $-2\:>\:2$ :False

Both inequalities are not satisfied, hence (0,-2) is a solution to the given system of inequality.

Ans:False

QUESTION 4

The given inequality is

$2x-y\:$ and $x+y\:>\:-1$ .

If (0,3) is a solution; then it must satisfy both inequalities.

We put x=0 and y=3 in to both inequalities.

$2(0)-3\:$ and $0+3\:>\:-1$ .

$-3\:$ :True and $3\:>\:-1$ : True

Both inequalities are satisfied, hence (0,3) is a solution to the given system of inequality.

Ans:True

QUESTION 5

The given system of inequality is

$y\:>\:2x-3$ and $y\:$ .

If (-3,0) is a solution; then it must satisfy both inequalities.

We put x=-3 and y=0 in to both inequalities.

$0\:>\:2(-3)-3$ and $0\:$ .

$0\:>\:-9$ ;True and $0\:$ :True

Both inequalities are satisfied, hence (-3,0) is a solution to the given system of inequality.

Ans:True

3 0

3 years ago

Community Gym charges a $50 membership fee and a $70 monthly fee. Workout Gym charges a $190

zepelin [54]

Answer:

14 month

Step-by-step explanation:

Lets create equations for these two gyms. I believe this is an algebra 1 problem.

Community Gym: y=70x+50

Workout Gym: y=60x+190

Because both gyms are equal to y, we can set them together and solve for x.

70x+50=60x+190

10x=140

x=14

You can find the cost by plugging in 14 into both of the equations. You get a cost of $1030 after 14 months

Therefore, after 14 months you will have paid the same amount for both gyms.

7 0

3 years ago

Beverage A and Beverage B are sold in identical cans. Beverage A is 4% sugar. The portion of Beverage B that is sugar is 0.21. H

V125BC [204]

Answer:

5.25 times

Step-by-step explanation:

Beverage A and Beverage B are sold in identical cans.

From the above question

Beverage A is 4% sugar.

The portion of Beverage B that is sugar is 0.21.

Converting Portion of sugar in Beverage B to percentage we have :

0.21 × 100

= 21%

How many times more sugar is in Beverage B than Beverage A?

This is calculated as:

% Beverage B/% Beverage A

= 21%/4%

= 5.25

Hence Beverage B has 5.25 times more sugar than Beverage A.

4 0

3 years ago

Which expression is equivalent to the following complex fraction?<br>1-1/x/2<br>

pishuonlain [190]

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7 0

4 years ago

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How many degrees has been rotated counterclockwise about the origin? A. 90 B. 360 C. 180 D. 270

Vinil7 [7]

Answer:

A - 270°

Step-by-step explanation:

4 0

4 years ago

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