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guapka [62]
3 years ago
13

Kaitlin is constructing a box in the shape of a rectangular prism to hold her lab supplies. To sit on her locker shelf, she need

the base of the box to measure 6 inches by 5 inches. If the box must hold 90 cubic inches (volume), how tall must it be? *
Mathematics
1 answer:
Basile [38]3 years ago
8 0

Answer:

The box must be 3 inches in height

Step-by-step explanation:

In this question, we are concerned about calculating the height of the supplies box.

To be able to get the value for the volume, we need to use the mathematical formula.

Since It is a rectangular prism, the volume V = l * b * h

where l, b and h are the length, breadth and height respectively. Now , it is the measurement of the base that is l * b, hence the base area in this question is 6 * 5 = 30 inches^2

The height of the supply box is thus 90/30 = 3 inches high

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A young sumo wrestler decided to go on a special diet to gain weight rapidly. He gained weight at a constar
Masteriza [31]

Answer:

  • <u>5.2 kg per month.</u>

<u></u>

Explanation:

The measure of how fast the wrestler gained weight, in kg per month, is the  weight gain rate.

The table is:

Time (months)           Weight (kg)

    0.5                             80.6

    2                                 88.4

    3.5                              96.2

The weight gain rate, WGR, for a period may be calculated as:

  • WGR = [ weight gain ] / [period]

  • WGR = [final weight - initial weight] / [final time - initial time]

  • WGR₁ = [88.4 kg - 80.6 kg] / [2 month - 0.5 month] = 7.8 kg / 1.5 month = 5.2 kg / month

  • WGR₂ = [96.2 kg - 88.4 kg] / [3.5 month - 2 month] = 7.8 kg / 1.5 month = 5.2 kg / month.

As you see, the wrestler gained weight at a constant rate of 5.2 kg per month.

7 0
3 years ago
The ratio of boys to girls at the dance was 8 to 4. How many girls were at the dance if there were 88 boys at the dance?
nevsk [136]

88/8=11.

So multiply 4 by 11.

4x11=44

So the ratio is 88:44.

There are 44 girls at the dance

---

hope it helps

5 0
3 years ago
I need help with this...
lisov135 [29]

   ln 5
e              =    ?
                                    x
Keep in mind that y=e     and y = ln x are inverse functions of one another.
  ln 5
e       ,  we can drop both the "e" and the "ln 5."  We are left with 5 (answer).
                                                                                        ln 5
Alternatively, we could take the ln of both sides of y = e

which will result in ln y = (ln 5) ln e.  Note that ln e = 1 (these two functions are inverses of one another).

Then we are left with ln y = ln 5.  Dropping the "ln" operator from both sides,

y=5 (same as before).
8 0
3 years ago
The fifth grade has 152 students. Each student has 18 pencils. How many pencils do the students have altogether? ( and how did y
timurjin [86]
You're given that there's 152 students. Each student has 18 pencils. All you have to do is multiply 152 students x 18 pencils/student, to get 2,736 pencils.
4 0
3 years ago
Bentley is going to invest $98,000 and leave it in an account for 7 years. Assuming
den301095 [7]

Answer:

The rate of interest for compounded daily is 2.1 6

Step-by-step explanation:

Given as :

The principal investment = $ 98,000

The Time period for investment = 7 years

Let The rate of interest compounded daily = R %

The Amount at the end up = $ 114,000

<u>From compounded method</u>

Amount = Principal × (1+\dfrac{rate}{365\times 100})^{365\times Time}

Or, $ 114,000 = $ 98,000  × (1+\dfrac{R}{365\times 100})^{365\times 7}

Or, \frac{114000}{98000} = (1+\dfrac{R}{36500})^{2555}

or, 1.16326 = (1+\dfrac{R}{36500})^{2555}

or, (1.16326)^{\frac{1}{2555}} = 1 + \frac{R}{36500}

1.00005919 - 1 =  \frac{R}{36500}

or, 0.00005919 =  \frac{R}{36500}

∴ R =  0.00005919 × 365000 = 2.16

Hence the rate of interest for compounded daily is 2.1 6   Answer

4 0
3 years ago
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