MRS Quirk buys 1 quart of milk. michael drinks 2/7 of it. Joel drinks 1/3 of it. what fraction of the quart of milk is left

1 answer:

4 0

13/21 cause 21 is a common denominator and 7x3+ 21 you have to do 7x=7 and 3x7=21 so you have to do 3x2= 6 so you do 6+7 which equals 13 and your answer is 13 over 21 since it can't be simplified

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-3/4x < 12

Maksim231197 [3]

Okay, so, to solve these inequalities, your goal is to get the variable equal to one number, so let's take a look at the first problem:

-3 / 4x < 12,

to get rid of the numbers attached to the variable 'x', you would divide the numbers, since, the original is multiplying with x, you would do the opposite, and the opposite of multiplication, is division.

So, now our equation is, - 3 / 4x divided by - 3 / 4, which would leave X by itself, then we have to do that same thing to the 12, which would be, 12 divided by - 3 / 4, which would equal, 16.

-3 / 4 < 12
÷ - 3 / 4 ÷ - 3 / 4
_____________
X > 16

Now, our equation is X > 16, which is the answer, to problem number one.

(Also a quick note, when you divide by a negative, the inequality symbol flips, for example, when we divided by -3 / 4, our inequality symbol changed from the less than symbol, to the more than symbol.)

___________________________________

Let's take a look at problem number two:

13c < -169,

Okay, so, again, you're trying to get C by itself. The number 13 is multiplying with C, so, you need to do the opposite, and divide, so you can get C by itself.

13c divided by 13 equals C

13c/13 = C

and

- 169 divided by 13, equals, -13,

So, the answer is, C < -13

Or,

13c < - 169
÷ 13 ÷ 13
__________
C < - 13
___________________________________

Let's take a look at problem number 3:

5B - 28 > 27,

Okay, so now, we have another number on the same side as B, so, we get rid of that first, it's subtracting, so now we do the opposite, and add it to the other side.

5B - 28 > 27
+28 +28
__________
5B > 55

Now, we divide both sides by 5:

5B > 55
÷5 ÷5
_______

B > 5
___________________________________

Now, Let's take a look at problem number 4:

3x - 7 > 4x + 2,

okay, so, we have multiple steps to take with this equation.

First, we want to get X by itself, so, we have to get rid of the -7, so, we do the opposite, and the opposite of subtracting, is adding.

3x - 7 > 4x + 2
+ 7 + 7
___________
3x > 4x + 9

Now, you only want to have one number with X, per equation, so, you need to move 4x to the other side, the way we do that, is by subtracting 4x.

3x > 4x + 9
-4x -4x
__________
-1x > 9

We can't have a negative number attached to the x, because that's like having a negative X, so, we have to divide one more time.

-1x > 9
÷-1 ÷-1
_______

Since, we are dividing by a negative, the inequality sign is going to flip, which would make the answer:

X < -9
___________________________________

I hope this helps!

3 0

4 years ago

Point O is a centroid of the triangle LMN. If OM=38 cm, what is MP?

Yuri [45]

9514 1404 393

Answer:

c.) 57 cm

Step-by-step explanation:

The centroid divides the median into parts with a 2:1 ratio.

OM : OP = 2 : 1

OM : MP = 2 : (2+1) = 2 : 3

As a fraction with MP on top, this is ...

MP/OM = 3/2

MP = (3/2)OM = 3/2×(38 cm)

MP = 57 cm

<em>Comment on the answer choices</em>

Often, you can eliminate a number of the choices in a multiple-choice question just by testing whether they are reasonable. Here, the longer part of a line segment has length 38, so the whole segment will not be shorter than that. The choices 19 and 25.5 make no sense.

The remaining choices are 114 cm and 57 cm. The former is 3 times the length of the given segment, which the drawing tells us is unreasonable.

The only reasonable choice offered is 57 cm.

8 0

3 years ago

To control the traffic during Ramadan month, a Police Sergeant is assigned to control the traffic

m_a_m_a [10]

To complete the table it is necessary to know the possibilities that the sergeant has to change or remain in an intersection. The probabilities (depending on the box) are:

0
0.2
0.25
0.33

<h3>How to calculate the probability of intersection change? </h3>

To know the probability of intersection change, it is necessary to locate the police officer at one of the intersections. Subsequently, count how many possibilities of change you have, for example: 3 possibilities and finally add the possibility of remaining in the intersection as shown below:

Intersection 3 has 3 possibilities of changing towards intersections 2, 8 and 4. Additionally, it has the possibility of staying at intersection 3, that is, it has 4 possible decisions.

To know the probability we divide the number 1 (because it is only a decision that we have to make) and divide it by the number of possibilities (4).

1 ÷ 4 = 0.25

According to the image we can infer that in some intersections they only have 3, 4 and 5 possibilities, so the probability of change will be different as shown below: