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Svetlanka [38]
3 years ago
13

The two boxes shown are cuboids.

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
5 0

Answer:

250 smaller cuboids

Step-by-step explanation:

Given

Small and Big cuboids

Required

Number of smaller cuboids in the big one

To do this, we calculate the volume of both cuboids.

Volume = Length * Width * Height

For the small cuboid

V_1 = 10cm * 3cm * 4cm

V_1 = 120cm^3

For the big cuboid

V_2 = 50cm * 30cm * 20cm

V_2 = 30000cm^3

The number of small in big is then calculated by diving the volumes

Number = \frac{V_2}{V_1}

Number = \frac{30000cm^3}{120cm^3}

Number = \frac{30000}{120}

Number = 250

Hence, there are 250 small cuboids in the large one

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The sale price for a jacket that regularly costs $85.00 is now $68.00. With sales tax, a customer pays $73.44. Which THREE state
k0ka [10]

Answer:

The sales tax rate is 8%.

C. The sale price is 20% less than the regular price

Step-by-step explanation:

Here are the options to this question :

A) The sales tax rate is 6%

B) The sales tax rate is 8%.

C. The sale price is 20% less than the regular price

Sales tax rate = (tax paid / discounted selling price) x 100

tax paid = amount customer paid - discounted selling price

$73.44 - $68 = $5.44

($5.44 / $68) x 100 = 8%

The sales tax is 8%

Sales price = (discount / initial price) x 100

discount = $85 - $68 = $17

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4 0
3 years ago
Read 2 more answers
What are the methods of substitution?
anyanavicka [17]

Answer:

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Example:

y = 2x + 1

x + 3y = -12

You already have y, plug it back into x + 3y = -12

x + 3(2x + 1) = -12

x + 6x + 3 = -12

7x + 3 = -12

(Subtract 3 from each side)

7x = -15

(Divide by 7)

x = - 2.14

-<u>No Equation</u>: is set equal to a variable

Example:

2x + y = 10

4× + 2y = -3

Subtract 2x from each side of 2x + y = 10, you should get y= -2x + 10. Now that you have found y, substitute y into 4x+ 2y = -3.

4x + 2(-2x + 10) = -3

4x + -4x + 20 = -3

(Subtract 20 from each side)

4x + -4x = -23

(Add 4x and -4x)

0 = -23

No Solution

<u>-Both</u><u> </u><u>Equations</u>: are set equal to a variable

Example:

y = x + 5

y = -x + 3

(you already have y so plug it into the other equation to solve for x)

-x + 3 = x + 5

(Add -x on both sides)

3 = 2x + 5

(subtract 5 from both sides)

-2 = 2x

(Divide by 2 on each side)

x = -1

I hope this helped!

8 0
3 years ago
Which person is heavier? A guy that weighs 110 lb. or a woman that weighs 75 kg.
BartSMP [9]
75kg is the awnser to this proble
4 0
3 years ago
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which equation represents this sentence? one half the sum of a number and four is less than the quotient of five and the number
Setler79 [48]

Answer:

The fourth one

Step-by-step explanation:

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The Kellys are saving up to go on a family vacation in 2 years. They invest $3200 into an account with an annual interest rate o
ryzh [129]

Answer:

$3,273.14

Step-by-step explanation:

-We first calculate the effective interest rate of 1.13% compounded daily:

i_m=(1+i/m)^m-1\\\\=(1+0.0113/365)^{365}-1\\\\=0.011363909

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A=P(1+i)^n\\\\=3200(1.011363909)^2\\\\\\=3273.14

Hence, the compounded amount after 2 years is $3,273.14

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3 years ago
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