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RideAnS [48]
3 years ago
11

What is the volume if this rectangular prism: 5/2 cm by 3/4 cm by 1/3 cm

Mathematics
2 answers:
aleksley [76]3 years ago
7 0

Answer:

5/8 cm

Step-by-step explanation:

5/2*3/4=15/8

15/8*1/3=15/24=5/8

nadezda [96]3 years ago
7 0

Answer:

V = 5/8  cm^3

Step-by-step explanation:

V = l*w*h

V = 5/2 * 3/4 * 1/3

The 3's cancel

V = 5/2 * 1/4 * 1/1

V = 5/8  cm^3

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Describe how you would write 5.04 X 10^6 in standard form.
Margarita [4]

You move the decimal point 6 places to the right because the exponent is positive.

5.04 x 10^6 in standard form is 5040000.

3 0
4 years ago
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The sum of two numbers is 128. Their difference is 4. What are the numbers?
Naddik [55]

Answer:

66 and 62

Step-by-step explanation:

128 divided by 2 gives you 64, and by taking two away from one number and giving it to the other, you're final answers are 66 and 62

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3 years ago
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Is (a-3)(2a^2 + 3a + 3) equivalent to 2(a^3 - 1.5a^2 - 3a - 4.5)
vovikov84 [41]
<h3>Answer: Yes they are equivalent</h3>

==============================================

Work Shown:

Expand out the first expression to get

(a-3)(2a^2 + 3a + 3)

a(2a^2 + 3a + 3) - 3(2a^2 + 3a + 3)

2a^3 + 3a^2 + 3a - 6a^2 - 9a - 9

2a^3 + (3a^2-6a^2) + (3a-9a) - 9

2a^3 - 3a^2 - 6a - 9

Divide every term by 2 so we can pull out a 2 through the distributive property

2a^3 - 3a^2 - 6a - 9 = 2(a^3 - 1.5a^2 - 3a - 4.5)

This shows that (a-3)(2a^2 + 3a + 3) is equivalent to 2(a^3 - 1.5a^2 - 3a - 4.5)

4 0
3 years ago
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Can someone please explain how to do number 9.
bogdanovich [222]

Answer:

x<15, probably

Step-by-step explanation:

maybe multiply 2 to each side to eliminate the fraction. so 3x+15<60. subtract 15 to isolate the variable term so 3x<45. divide by 3 to isolate x so x<15. check the work. is the inequality true for all values of x less than 15? let's try the first possible integer value, 14, to be sure. 3(14)+15= 57. so 57/2<30. now 57/2 is 28.5 and 28.5<30 so it seems right

7 0
3 years ago
Find the determinant of the given matrix.
JulijaS [17]

Answer: -42


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3 0
3 years ago
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