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Sonbull [250]
2 years ago
6

Dylan has two cubes of iron. The larger cube has twice the mass of the smaller cube. He measures the smaller cube. It's mass is

20 grams, and its density is 7.87 g/cm3. What's the larger cube's volume?
Mathematics
1 answer:
Lelu [443]2 years ago
6 0
Density \rho
is given by \rho = frac{m}{V}
where m is the mass of the object
V is the Volume of the object

let m1 be the mass of the smaller cube
let m2 be the mass of the larger cube

you know that the larger cube has twice the mass of the smaller cube
or m2=2*m1

so apply this information into the density equation and you can determine the volume of the larger cube
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If 10a+10b=35, what is the average (arithmetic mean) of a and b?
worty [1.4K]

Answer:

1.75

Step-by-step explanation:

If a  and b are two numbers, then their arithmetic mean is

\dfrac{a+b}{2}

Given:

10a+10b=35

Divide this equation by 10:

a+b=3.5

Now, divide it by 2:

\dfrac{a+b}{2}=\dfrac{3.5}{2}\\ \\\dfrac{a+b}{2}=1.75

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2 years ago
Work out percentage change to 2 decimal places when a price of £97 is increased to £99.99
Korvikt [17]

Answer:

2.99

Step-by-step explanation:

99.99 - 97 = 2.99

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2 years ago
If f(x) =[x] −2 + 8, what is f(−1.8)? 4 6 10 12
Agata [3.3K]
F(x) = [x] - 2 + 8
[x] is the notation for 'greatest integer function'
f(-1.8) = [-1.8] - 2 + 8 = -2 -2 + 8 = 4
The answer is 4
8 0
2 years ago
Read 2 more answers
Mario is setting up a new tent during a camping trip. The tent came with 7 feet of rope. The instructions are to use 34.5 inches
nevsk [136]

Answer: There are 6 sections of  8\frac{1}{4}\ inches  of rope Mario can cut from the rope .

Step-by-step explanation:

Since we have given that

Length of the rope for the tent = 7 feet

As we know that

1\ feet=12\ inches\\\\7\ feet=12\times 7=84\ inches

Length of rope is used to tie a tarp on top of the tent = 34.5 inches

Remaining length of rope is given by

84-34.5=49.5\ inches

According to question, the remaining rope should be cut into

8\frac{1}{4}\ inches\\\\=\frac{33}{4}\ inches

So, Number of  8\frac{1}{4}\ inches sections of rope Mario can cut from the rope is given by

\frac{49.5}{8\frac{1}{4}}\\\\=\frac{49.5}{\frac{33}{4}}\\\\=\frac{49.5\times 4}{33}\\\\=6

Hence, there are 6 sections of 8\frac{1}{4}\ inches rope Mario can cut from the rope .

5 0
2 years ago
Read 2 more answers
Davison Electronics manufactures two LCD television monitors, identified as model A andmodel B. Each model has its lowest possib
shtirl [24]

The question is incomplete. The complete question is :

Davison Electronics manufactures two LCD television monitors, identified as model A and model B. Each model has its lowest possible production cost when produced on Davison’s new production line. However, the new production line does not have the capacity to handle the total production of both models. As a result, at least some of the production must be routed to a higher-cost, old production line. The following table shows the minimum production requirements for next month, the production line capacities in units per month, and the production cost per unit for each production line:

                      Production per unit                         Minimum production

Model        New Line        Old Line                              requirements

A                   $30                $50                                          50,000

B                   $25                $40                                           70,000

Production  80000          60000

line capacity.

Let

AN- Units of model A produced on the new production line

AO Units of model A produced on the old production line

BN Units of model B produced on the new production line

BO Units of model B produced on the old production line

Davison's objective is to determine the minimum cost production plan. The computer solution is shown in Figure 3.21.

a. Formulate the linear programming model for this problem using the following four constraints:

Constraint 1: Minimum production for model A

Constraint 2: Minimum production for model B

Constraint 3: Capacity of the new production line

Constraint 4: Capacity of the old production line  

Solution :

<u>Linear programming model</u>:

Linear programming is defined as a mathematical model where the linear function is either minimize or maximize when they are subjected to some constraints.

The linear programming model is determined as follows :

Minimum : 30 AN + 50 AO + 25 BN + 40 BO

This is subject to the constraints as :

AN+AO \geq 60,000

BN+BO \geq 70,000

AN+BN \leq 80,000

AO+BO \leq 60,000

Learn more :

https://brainly.in/question/15044395

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