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Bond [772]
3 years ago
9

book world receives 12 boxes of books each box contains 16 copies of the new best-seller Norton's Last Laugh how many copies of

Norton's Last Laugh does the store receive?
Mathematics
1 answer:
kotegsom [21]3 years ago
6 0
12 boxes of 16 books is equal to 192 books. So Book World receive 192 books
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What is the solution to the system of equations represented by the two equations?
nexus9112 [7]
Just substitute the first equation into the second and solve for x: <span><span>32</span>x=−<span>12</span>x+4⟹2x=4⟹x=2</span><span>Now, since y = 3/2 * x, we have y = 3 and we are done.</span>
8 0
3 years ago
Use the following information for questions 1 through 6. The dietitian at a camp is planning breakfast for the first day of camp
Dima020 [189]

Answer:

Let x and y be the pieces of toast and sausage required.

Then the objective function is

Min Z=0.04x+0.08y

Constraints:

Vitamin A, 2x+4y≥20

Vitamin B, 3x+1.5y≥15

Iron, 2x+2y≥16

Sausage, y≤4

The non-negative constraints are x≥0, y≥0

Thus, the linear programming model is

Min Z=0.04x+0.08y

Subject to,

2x+4y≥20

3x+1.5y≥15

2x+2y≥16

y≤4

x≥0, y≥0

1) There are two variables in the LP model. So, option (B) is correct.

2) The LP model contains four constraints (excluding the non negative constraints). So, option (D) is correct.

3) Solving the LP model using a software, we get the solution as

z=0.4, at x=6 and y=2

So, The cost of the breakfast is $ 0.4. Option (B) is correct.

4) The breakfast should contains 6 toasts.

5) The amount of Vitamin B in the breakfast = 3(6)+1.5(2)=18+3=21 milligrams. So, option (C) is correct.

6) The amount of Iron in the breakfast= 2(6)+2(2)=12+4=16 milligrams. So, option (B) is correct.

Step-by-step explanation:

4 0
3 years ago
Is 120.4 hundredths or ones or tens or hundreds
artcher [175]

Answer:

Not sure what you're asking but 120.4 is

one hundred

two tens

and four tenths

8 0
2 years ago
The length of a rectangle is twice its width. Find its area, if its perimeter is 7 and 1/3 cm.
laila [671]

Answer:

2.99 cm²

Step-by-step explanation:

<em>(The "..." at the end of the decimal means that number is repeating)</em>

The perimeter of a rectangle is the length around the shape. The equation for a rectangle's perimeter is L + W × 2, with L and W representing length and width, respectively (You multiply the length and width by two because the shape is four-sided, so it has two length sides and two width sides). To find the area of the rectangle, you need to know the individual length and width, so you'll solve for that first.

Since you're only given the perimeter and you know the length is double the width, you'll need to work backwards with this equation. To do this, first divide the perimeter (7 \frac{1}{3}, also written as 7.33...) by 2; this equals 3 \frac{2}{3\\}, also written as 3.66...

Next, you can find the length and width by determining what two numbers multiply to equal 3.66..., with one number being two times larger than the other number. The way I tend to think of this is that if one number is double the other, then the smaller number is one third of the sum of the two numbers (since the smaller number represents one part of the sum, and the other represents two parts of the sum, which is double the smaller number).

Since the length and width combine to be the divided perimeter, 3.66..., that means two thirds of 3.66... is the longer side (the length), and then the one third of 3.66... is the shorter side (the width). This means the length is 2.44... and the width is 1.22...

Finally, you can solve for the perimeter by dividing the perimeter by two and then subtracting the length squared. The written equation looks like this:

A = P\frac{1}{2} - L²

(A = area, P = perimeter, L = lenth)

Now just insert the numbers into the equation and solve!

The area of the rectangle is 2.99cm²

7 0
3 years ago
Hey please help me please help please
Airida [17]

1.

a) metres to centimetres :

multiply length by 100

b) metres to millimetres:

multiply length by 1000

c) kilograms to grams:

multiply the mass value by 1000

d) litres to millilitres :

multiply volume by 1000

2.

a) 3 m = 3× 100 = 300 cm

b) 28 cm = 28 × 10 = 280 mm

c) 2.4 km = 2.4 × 1000

= 24 × 10^-1 × 10^3

= 24 × 10^2 =2400 m

d) 485 mm =485 / 10

= 485 / 10 ^1

= 485 × 10 ^-1

= 48.5 cm

e) 35 cm = 35 / 100

= 35 /10^2

= 35 × 10 ^ -2

= 0.35 m

f) 2.4 m = 2.4 / 1000

= 24 × 10 ^-1 / 10^3

= 24 × 10^-1 × 10 ^-3

= 24 × 10 ^ -4

= 0.0024 km

g) 2495 mm = 2495 /1000

= 2495 /10^ 3

= 2495 × 10 ^-3

=2.495 m

4 0
3 years ago
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