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prisoha [69]
3 years ago
15

A classmate says that a rectangular prism that is 6 cm long, 8 cm wide, and 15 cm high is similar to a rectangular prism that is

12 cm long, 14 cm wide, and 21 cm high. Explain your classmate's error.
Mathematics
1 answer:
ohaa [14]3 years ago
4 0
I think you could try to multiply all three of the first prism and then multiply all three of the second prism. Then you can compare both of them to each other, and there will be a difference. 
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The sum of the first n consecutive even numbers can be found using S = n2 + n, where n ≥ 2.
viktelen [127]
The following are the choices on this question:
 A.6
 B. 39
 C. 26
 D. 12   
The answer is option D. 12.

Check this out:
S=n² + n
S= 12² + 12
     (you can get the square of 12 by multiplying 12 by itself: 12 × 12)
S=144 +12
S=156
3 0
3 years ago
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Please help Fr pleased I’m begging you
andreyandreev [35.5K]

Answer:

y = \frac{3}{8}x - 2

Step-by-step explanation:

<u>The answer to this problem is a simple plug-in of the given values into the slope-intercept formula.</u>

Slope intercept formula: y = mx + b

(m = slope)

(b = y intercept)

If the equation has a slope of m = \frac{3}{8}, then the slope-intercept form would be:

y = \frac{3}{8}x

If the y-intercept of an equation is (0 , -2), then the slope intercept form would be:

y = mx - 2

<u>Putting both of these values into an equation would give option A:</u>

y = \frac{3}{8}x - 2

6 0
2 years ago
What is the compund interest on 5,000 over 3 years at 5% interest
Katena32 [7]

Answer:

788.13  to the nearest hundredth.

Step-by-step explanation:

Let A be the total amount in the account after 3 years.

The formula is A = P(1 + x/100)^t .

Here P = 5000, x = 5 %  and the time t = 3. years.  

Amount after 3 years = 5000(1 + 5/100)^3

=  5788.13

So the Interest is 5788.13 - 5000

= 788.13.

8 0
3 years ago
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Department s had 500 units 60% completed in process at the beginning of the period; 9,000 units completed during the period; and
Delicious77 [7]

With the concept of first in, first out method, then we can use the formula below to solve for the number of equivalent units of production for that period.

 

number of equivalent units of production

= Total number of units completed during that period (A) – Number of units completed in process at the beginning of the period (B) + Number of units completed at the end of the period (C)

= A – B + C

We know that,

A = 9000 units

So we solve for B and C.

B is 60% of the 500 units, therefore:

B = 0.60 * 500 = 300

C is 30% of the 600 units, therefore:

C = 0.30 * 600 = 180

 

Substituting the values into the equation:

number of equivalent units of production  = 9000 – 300 + 180

number of equivalent units of production  = 8880 units

 

Answer:

A. 8880

3 0
3 years ago
The sum of 5 consecutive integers is 100. What is the first number in this sequence?
yanalaym [24]
So we can call first number "n"

Then all five integers would be n, n+1, n+2, n+3, n+4

So sum of them would be 5n + 10 = 100

Now you can solve for n:

5n + 10 = 100

5n = 90

n = 18

Verify: 18 + 19 + 20 + 21 + 22 = 100. All good.

So answer is 18
5 0
2 years ago
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