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4vir4ik [10]
3 years ago
7

Joan is filling a 2-liter soda bottle with different colors of sand to make an art project for her class. She has 1,000 millilit

ers of
red sand, 35 centiliters of blue sand, and 2,5 deciliters of yellow sand in the bottle, but it is not full yet. How many liters of
purple sand will she need to use to have the bottle completely full?
Mathematics
1 answer:
Marrrta [24]3 years ago
6 0

Answer:

0.4 l of purple sand

Step-by-step explanation:

<u>Volume to be filled in:</u>

  • 2 liter = 2000 ml

<u>Red sand</u>

  • 1000 ml

<u>Blue sand</u>

  • 35 centiliters = 35*10 ml = 350 ml

<u>Yellow sand</u>

  • 2.5 deciliters = 2.5*100 ml = 250 ml

<u>Total volume filled:</u>

  • 1000 + 350 + 250 = 1600 ml

<u>Purple sand needed:</u>

  • 2000 - 1600 = 400 ml = 0.4 l

<u>Answer is</u> 0.4 l of purple sand required

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rusak2 [61]

Answer:

-6x + 15

Step-by-step explanation:

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6 0
3 years ago
A rectangular prism has a length, width, and height of 2/3 inch, 3/5 inch, and 4/7 inch, respectively. The volume of the rectang
monitta

Answer: 8/35 is the exact answer as a fraction; approximately that is equal to 0.22857 (rounded to 5 decimal places)

Work Shown:

The volume of this prism is equal to the length times width times height. We multiply the three fractions out. To do this, multiply straight across. The numerators group up and multiply. The denominators form a separate group to multiply.

Multiply the numbers up top (numerators): 2*3*4 = 6*4 = 24

Multiply the numbers in the bottom (denominators): 3*5*7 = 15*7 = 105

We end up with 24/105. We can divide both numbers by 3 to reduce the fraction (note how 3 is a factor of each multiplication above)

24/3 = 8

105/3 = 35

So that's how I got 8/35

If you want to convert to decimal form, then 8/35 = 0.22857 approximately.

4 0
2 years ago
Read 2 more answers
PROVING THEOREMS OF SQUAD can someone help me pleasee ASAP​
AfilCa [17]

Answer:

40 units

Step-by-step explanation:

For a square, all the sides are equal and the interior angles are equal and all equal to 90. Hence;

m<BOJ = 90 degrees

m<BOJ = 4x - 6

Equating both to get x;

4x - 6 = 90

4x = 90+6

4x = 96

x = 96/4

x = 24

Since all the sides are equal, hence BO = JO = 2x-8

JO = 2x - 8

Substitute x = 24 into JO

JO = 2(24) - 8

JO = 48 - 8

JO = 40

Hence the measure of JO is 40 units

6 0
3 years ago
Show work <br> only do those <br> 32,34,36,38,40
Free_Kalibri [48]

Answer:  see below

<u>Step-by-step explanation:</u>

32)\quad \dfrac{3}{5}(x-12)>x-24

        3(x - 12) > 5(x - 24)

        3x - 36 > 5x - 120

      <u> -5x       </u>   <u>-5x         </u>

        -2x - 36 >      -120

        <u>      +36</u>      <u>    +36 </u>

        -2x        >       -84

   <u>  ÷ -2        </u> ↓    <u>   ÷ -2  </u>

             x      <       42

Graph:   ←------------o

                             42

34)   6[5y - (3y - 1)] ≥ 4(3y - 7)

        6[5y - 3y + 1] ≥ 4(3y - 7)

        6{2y + 1]        ≥ 4(3y - 7)

         12y + 6        ≥ 12y - 28

        <u>-12y            </u>    <u>-12y       </u>

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Graph:   ←-----------------------→

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         4    + 8 - AB > AB

                12 - AB  > AB

       <u>             +AB  </u>  <u>+AB </u>

                12          > 2AB

      <u>         ÷2        </u>    <u>÷2     </u>

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38)\quad \dfrac{1}{2}(y-16)\geq y+2\quad ;\text{claim}\ y\leq 20

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           then \frac{1}{2}(16 - 16) ≥ 16 + 2

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40) question not provided in the image so I cannot give a solution.

7 0
3 years ago
a regular decagon (10 - sided figure) divides into how many triangles (drawn from a point in the center of the decagon) ?
aev [14]

Answer: 10

Step-by-step explanation:

1 triangle per side of the decagon.

3 0
2 years ago
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