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Naya [18.7K]
3 years ago
10

10 + (2 x 3)2 ÷ 4 × (3 x 1/2)?

Mathematics
2 answers:
mafiozo [28]3 years ago
8 0

Answer:

20.5

Step-by-step explanation:

10 + 12 ÷ 4 x 7/2

10 + 3 x 7/2

10 + 21/2

10 + 10.5

20.5

Ad libitum [116K]3 years ago
3 0

Answer:

14.5

Step-by-step explanation:

10 + (2 x 3)2 ÷ 4 × (3 x 1/2)

10 + (6)2 / 4 * (1.5)

10 + 12 / 4 * 1.5

10 + 3 * 1.5

10 + 4.5

14.5

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How many cubes with side lengths of 1/3 cm does it take to fill the prism?
user100 [1]

Answer:

The number of cubes that fill the prism is 24

Step-by-step explanation:

Given as :

The length of cube (l) = \frac{1}{3} cm

The length of prism (L) = 1 cm

The width of prism (w) = 2 \frac{2}{3} = \frac{8}{3} cm

The height of prism (h) = \frac{2}{3} cm

Let the number of cubes that fill the prism = x

Now, Volume of cube with length (l) = l³   cm³

Or,  Volume of cube with length (l) = (\frac{1}{3})^{3}  cm³

Or,  Volume of cube with length (l) = (\frac{1}{27})  cm³

Again , Volume of prism  = \frac{1}{2}\times Length \times width \times height

Or, Volume of prism = \frac{1}{2}\times 1 \times \frac{8}{3} \times \frac{2}{3}

Or, Volume of prism = (\frac{8}{9})  cm³

<u>So , The number of cubes to fill prism  </u>

 The number of cubes × Volume of cube = Volume of prism

Or, x × (\frac{1}{27})  cm³ = (\frac{8}{9})  cm³

or   x = \frac{8\times 27}{9} = 24

Hence The number of cubes which fill the prism is 24  Answer

8 0
3 years ago
2x + 19 and x + 23 are alternate exterior angles. What is the value of x? *
Mamont248 [21]

Answer:

4

Step-by-step explanation:

2x+19=x+23

We simplify the equation to the form, which is simple to understand

2x+19=x+23

We move all terms containing x to the left and all other terms to the right.

+2x-1x=+23-19

We simplify the left and right sides of the equation.

+1x=+4

We divide both sides of the equation by 1 to get x.

x=4

5 0
3 years ago
How do you simplify 4^-2h^-4j^3
notka56 [123]
    j^3
_______
4^2 h^4

when you have negatives, you want them to be positive. To do that you need to convert it into a fraction
7 0
3 years ago
Rename 0.3 using other place value patterns.
r-ruslan [8.4K]
You could do three tenths
3 0
4 years ago
Read 2 more answers
2. Reason How is solving an absolute value equation similar to solving an
dimulka [17.4K]

Answer: Absolute value will alwase be a positive number, while solving an equation that does not involve absolute value could be any number. Positive, negativ, you name it. They ae similer, because either way, you are trying to figure out a varible. -hope this helped! if i misunderstood anything, let me know! i love to improve :D

5 0
3 years ago
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