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kotykmax [81]
3 years ago
6

Destiny has 6 library books on her desk. One third of them are about animals. How many of Destiny’s library books are about anim

als? Draw a diagram to show your work.
Mathematics
1 answer:
Marta_Voda [28]3 years ago
3 0
| shade  |               |               |       Each rectangle stands for one third so shade 
|  this     |               |               |         only one rectangle.
|    one   |               |               |         And one rectangle has two books in it (you
|             |               |               |         divide 6 by 3 to get 2). 
|             |               |               |
|             |               |               |
|             |               |               |
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What is the answer to 3/x-2 is ≥12
Tju [1.3M]

Answer:

The answer to your question is 0 < x ≤ 3/14

Step-by-step explanation:

Here are the steps to solve it.

First, you need to solve your inequality step-by-step:

3/x −2 ≥ 12

-2x + 3/x = ≥12

Next, find the critical points of the inequality:

2x + 3/x = 12

−2x + 3 = 12x (Multiply both sides by x)

−2x + 3 − 12x = 12x − 12x (Subtract 12x from both sides)

−14x + 3 = 0

−14x + 3 − 3 = 0 − 3 (Subtract 3 from both sides)

−14x = −3

-14x/ -14 = -3/ -14 (Divide both sides by -14)

So, that gives you your answer:

x = 3/14

3 0
3 years ago
Angle mIJK=180, angle mIJU = 3x-7, and angle mUJK=17x + 7 find angle mIJU
Andrej [43]

Answer:

The measure of angle IJU is 20 degrees.

Step-by-step explanation:

In order to find that, we need to add the two angles together and set equal to 180 degrees. Then we can solve for x.

(3x - 7) + (17x + 7) = 180 ----> Combine like terms

20x = 180 -----> Divide by 20

x = 9

Now that we have this, we can stick the value into the equation and solve for IJU.

IJU = 3x - 7

IJU = 3(9) - 7

IJU = 27 - 7

IJU = 20

3 0
3 years ago
Which point below is not on the graph of p(x) = +36- X?
natka813 [3]

Answer:

We have the following equation: y = 36 - x. And we need to find which of the following points belong to the graph:

  • (-13,7)
  • (-35, 1)
  • (11,5)
  • (27,3)

If any of the points belong to the equation, then the equality will be met.

Then:

  • (-13,7) :

7 = 36 - (-13)

7 = 36 + 13

7 = 49 ❌

  • (-35, 1) :

1 = 36 - (-35)

1 = 71❌

  • (11, 5) :

5 = 36 - 11

5 = 25 ❌

  • (27,3)

3 = 36 - 27

3 = 9 ❌

None of the points belong to the graph. Therefore, all points are NOT on the grah of p(x) = 36 - x.

3 0
3 years ago
A cube made of an unknown material has a height of 9 cm. The mass of this cube is 3.645 grams. What is the density of this cube?
ehidna [41]

Answer:

density =  \frac{mass}{volume}

mass = 3.645 g

volume = 9×9×9

= 729 cm³

density = 3.645/729

= 0.005 gcm^-3

Step-by-step explanation:

the volume is 729 cm³ cause the given height is 9cm and it is a cube. cube has equal sides so their lengths are the same.

volume = length × height × width

8 0
3 years ago
A shop keeper has offered an item for sale. Its label price is Rs . It is not sold in one-month period and after one month its l
BigorU [14]

Answer:

x = Rs 20,833.33

the value of x is Rs 20,833.33

Step-by-step explanation:

Let x,y and z represent the price of the item initially, after one month and after two months respectively.

Given that;

after one month its label price is reduced by 20%

y = x - 20% of x

y = x - 0.20x

y = 0.80x ........1

after 2 months its reduced price is further reduced by 10% and then sold it for Rs 15000.

z = y - 10% of y

z = y - 0.10y

z = 0.90y ........2

Substituting equation 1 into 2;

z = 0.90(0.80x)

z = 0.72x

Also z = Rs 15000

So,

z = 0.72x = Rs 15000

0.72x = Rs 15000

x = Rs 15000/0.72

x = Rs 20833.33333333

x = Rs 20,833.33

the value of x is Rs 20,833.33

5 0
3 years ago
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