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Snezhnost [94]
3 years ago
5

Créstòr bought a terrarium that is 24 inches wide, 48 inches long and 20 inches high. A bag of special dirt at the pet store onl

y fills 1,000 cubic inches and costs $8.00 per bag.
Part A: How many bags does Crèstòr need to fill his terrarium?
Part B: How much do the bags cost after a 6% sales tax?
Mathematics
1 answer:
lesantik [10]3 years ago
4 0

Answer:

A. 24

B. $203.52

Step-by-step explanation:

A. Number of bags.

To see how many bags of dirt Crèstòr will have to buy, we have to calculate the volume of the terrarium he just bought.

It's rectangular prism, so the formula for its volume is simple: length x width x height

So, let's se... 48 x 24 x 20 = 23,040 cubic inches.

How many  bags will he have to buy? Each bag contains 1,000 cubic inches.  So, 23,040 / 1,000 = 23.04

He will then need to buy 24 bags (because with 23, the terrarium won't be full).

B. Cost of the bags with 6% tax.

First, we need to know how much the total before tax is.  We know he's buying 24 bags and that each bag costs $8.

T = 24 * $8 = $192

Now, if we want to have the total with the 6% tax added, we multiply this total by 1.06 (1.00 for the total + 0.06 for the tax).

Total WITH tax: $192 * 1.06 = $203.52

Amount of the tax: $203.52 - $192 = $11.52

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1/3·(−3x+4y−5z) help plz
Maksim231197 [3]

Answer:

To solve this we need to form 2 equations with only 2 variables.

x+4y-5z=-7

2x+y+5z=8

3x+5y=1

15x+10y+15z=35

6x+3y+15z=24

9x+7y=11

Now we need to use these to find x and y

9x+15y=3

9x+7y=11

8y=-8

y=-1

Therefore:

x=2

From this we can find that:

2(2)-1+5z=8

Therefore z=1

The answer is x=2, y=-1, z=1

7 0
3 years ago
Read 2 more answers
NEED ASAP<br> which point represents the ordered pair (-2 1/4+ 2/3
Anvisha [2.4K]

Answer:

Point Q sry if wrong

Step-by-step explanation:

3 0
3 years ago
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In ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45. What is the value of the cosine of ∠X to the nearest hundredth?
kotegsom [21]

The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.

Step-by-step explanation:

The given is,

                   In ΔWXY, ∠Y=90°

                        XW = 53

                         YX = 28

                        WY = 45

Step:1

             Ref the attachment,

             Given triangle XWY is right angled triangle.

             Trigonometric ratio's,

                              Cos ∅  = \frac{Adj}{Hyp}    

             For the given attachment, the trigonometric ratio becomes,

                              Cos ∅  = \frac{XY}{XW}.....................................(1)

             Let, ∠X = ∅

             Where, XY = 28

                         XW =  53

             Equation (1) becomes,

                                 Cos ∅  = \frac{28}{53}

                                 Cos ∅ = 0.5283

                                        ∅ = cos^{-1} (0.5283)

                                        ∅ = 58.109°

Result:

          The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.

             

4 0
3 years ago
Choose the function whose graph is given by
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Answer:

The correct option is D.

Step-by-step explanation:

The given graph is the graph of a cosine function, which shifts 1 unit left.

The cosine function is defined as

y=a\cos(bx+c)+d

Where, a is amplitude, b is frequency, c is phase shift and d is vertical shift.

If c>0, then the graph shifts c units left and if c<0, then the graph shifts c units right.

Since the graph show only phase shift and the graph shifts only one unit left, therefore required function is

y=\cos(x+1)

Option D is correct.

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MAXImum [283]

Answer:

16/9

Step-by-step explanation:

(4/3) ^2

(4/3) * (4/3)

First the numerators

4*4 = 16

Then the denominators

3*3 = 9

Numerator over denominator

16/9

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3 years ago
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