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Effectus [21]
3 years ago
8

A tool box has the dimensions of 10 in by 4 in by 7 in. If Magnus plans to double all three dimensions to build a larger tool bo

x, he believes he would double the volume of the tool box. Is he correct?
Mathematics
1 answer:
arsen [322]3 years ago
6 0

Answer: No. He's wrong.

Step-by-step explanation:

Since the tool box has the dimensions of 10 in by 4 in by 7 in. The volume will be:

= 10 × 4 × 7

= 280in³

When the dimensions are doubled, the new dimensions will be:

10 in = 10in × 2 = 20in

4in = 4in × 2 = 8 in

7in = 7in × 2 = 14in

The volume will now be:

= 20 × 8 × 14

= 2240in³

He is wrong, the volume isn't the double of the former tool box. The double of the former tool box will give (280in³ × 2) = 560in³. This is different from the new volume.

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Find the square root of 64a^2/9b^2+4+32a/3b​
insens350 [35]

Answer:

the square root of 64a^2/9b^2+4+32a/3b is

  • ( 8a + 6b ) / 3b

or

  • 8a / 3b + 2

8 0
3 years ago
11) The sum of four consecutive integers is 290.
n200080 [17]

Answer:

71, 72, 73, 74 . for details, check below

Step-by-step explanation:

a)  Let's assume that among the four consecutive numbers, the first one is x,

so, the four consecutive numbers should be:

  1. x
  2. x+1
  3. x+2
  4. x+3.

According to the question,

(x) + (x + 1) + (x + 2) + (x + 3) = 290

<h2>b)</h2>

(x) + (x + 1) + (x + 2) + (x + 3) = 290

4x + 6 = 290

4x = 284

x = 284÷ 4

x = 71.

So, the numbers are,

71, 72, 73, 74

6 0
2 years ago
Read 2 more answers
A certain animated movie earned $1.1*10^9 in revenues at the box office. The movie lasts 9.1*10^1 minutes. How much revenue was
Vadim26 [7]

Answer:

$12,087,912.1

Step-by-step explanation:

1.1*10^9  is in scientific notation, to get this into normal number, we take the decimal point and move it "9" times to the right [whatever power of 10 we have, we move to right (if positive).] Then we fillup the rest with zeros.

So we have:

1.1*10^9=1,100,000,000

This is the revenue.

We do similar process for time:

9.1*10^1=91

This is the time , in minutes.

We want revenue PER minute, that means we divide the total revenue by total time, that would be:

\frac{1,100,000,000}{91}=12,087,912.1

The revenue earned per minute is  $12,087,912.1

6 0
2 years ago
In a group of EXPLORE students, 38 enjoy video games, 12 enjoy going to the movies and 24 enjoy solving mathematical problems. O
Pavel [41]
Only 11 of the students liked 2 subjects
5 0
2 years ago
How u can convert decimal to a fraction in .23?
Vlada [557]

23

%

=

23

100

=

0.23

First we have to think that the symbol

%

=

1

100

so that

23

%

=

23

⋅

(

1

100

)

this is read twenty three percent is equal to twenty three multiplied by one divided by one hundred.

the result is the fraction

23

100

Now, to convert to decimal, simply divide 23 by 100

23

÷

10

=

2.3


and

2.3

÷

10

=

0.23

this is the same as

23

÷

100

=

0.23

4 0
3 years ago
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