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4 years ago

Rates unite rates and ratios 50 candles in 4 boxes

1 answer:

4 0

Unit rate is the quantity per one. In this case it is how many candles per 1 box.
You divide everything by 4 to get 12.5 candles per 1 box (or 12 candles in 4 boxes and 2 left over.)

The ratio between candles in boxes would just be 50 candles to 4 boxes, or 50:4. You can simplify it to the unit rate of 12.5 candles to 1 boxes, or 12.5:1

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How many solutions does the system of equations below have?

motikmotik

It is a because i think it has about 4 solutions and that a sais it has more than one solution.

4 0

3 years ago

Read 2 more answers

Simplify the expression.

sergiy2304 [10]

Answer:

The simplified expression is:

⇒ $13x-8$

Step-by-step explanation:

Given expression:

$(9x + \frac{1}{2})+(4x-8\frac{1}{2})$

To simplify the given expression.

Solution:

In order to simplify, we will combine the like terms by removing the parenthesis.

We have:

⇒ $9x + \frac{1}{2}+4x-8\frac{1}{2}$

Combining like terms.

⇒ $9x+4x+\frac{1}{2}-8\frac{1}{2}$

⇒ $13x+\frac{1}{2}-8\frac{1}{2}$

In order to combine fractions, we will combine the whole number and the fraction separately.

⇒ $13x-8+(\frac{1}{2}-\frac{1}{2})$

⇒ $13x-8+0$

Thus, the simplified expression is:

⇒ $13x-8$

7 0

3 years ago

Each cube in this figure is a -centimeter unit cube. How many cubes are in the prism? [Type your answer as a number.]

Annette [7]

Answer:

72 cubes

Step-by-step explanation:

One face of the cube has 12 cubes. A cube has 6 faces, 12 × 6 = 72. (12 cubes × 6 faces = 72 cubes)

6 0

3 years ago

A swimming pool has a diameter of 24 feet. What is the minimum amount of fabric needed to cover the pool if the cover must hang

Alika [10]

Answer:

531.167 ft²

Step-by-step explanation:

Given data

Dimension of pool

Diameter =24ft

Radius =12ft

If the cover must hang by 1ft around, then the diameter is 26ft

Radius =13ft

Area of cover = πr²

Substitute

Area = 3.142*13²

Area =3.143*169

Area =531.167 ft²

Hence the minimum area is 531.167 ft²

5 0

3 years ago

I think I have the correct answers but will anyone try to solve these questions so I can see if we got the same answer.

Andre45 [30]

Because you seem to have an understanding of the material, I will write my math, but no explanations for my work. Comment on this answer for an explanation, or if I did something wrong.

1. Find the length of the South side of the field.

$(5x+2)+(x^2-9)+(x^2-7x+12)\\5x+2+x^2-9+x^2-7x+12\\2x^2+5x+2-9-7x+12\\2x^2-2x+2-9+12\\2x^2-2x+5$

2.Find the perimeter of the pumpkin field.

$2(5x+2)+2(5x-2)\\(5x+2)+(5x+2)+(5x-2)+(5x-2)\\20x+4-4\\20x$

3. Find the perimeter of the whole field.

$2(4x+5x-2)+2(5x+2+x^2-9+x^2-7x+12)\\2(9x-2)+2(2x^2-2x-5)\\18x-4+4x^2-4x+10\\4x^2+14x+6$

4. If $x=30ft$ , what is the total perimeter?

$P=4x^2+14x+6\\P=4(30)^2+14(30)+6\\P=4(900)+420+6\\P=1026ft$

Random Tangent:

If you want to involve $y$ in finding these answers for whatever reason, your math is going to get messy. Here's what I tried before I realized you could multiply each side by $2$ to get the total perimeter:

$xy+1+x+6=4x+5x-2\\xy-8x=-9\\x(y-8)=-9\\y-8=-\frac{9}{x}\\y=-\frac{9}{x}+8$

Now the other side. This one's even worse.

$xy-1+6x+x=5x+2+x^2-9+x^2-7x+12\\xy+9x-2x^2=5\\x(y+9+2x)=5\\2x+9+y=\frac{5}{x}\\y=\frac{5}{x}-2x-9$

At this point, was realizing I wasn't going about the problem correctly, but did one last try by setting $y=y$ . At this point in the equation, I simply had to stop, both due to complexity and technological problems.

$\frac{5}{x}-2x-9=-\frac{9}{x}+8\\\frac{14}{x}=2x+17\\ 14=2x^2+17x\\0=2x^2+17x-13\\$

I could possibly continue to solve, but I don't see a point. It was clear that this was NOT the right path to take finding the perimeter. It was here I realized that I could just multiply the two sides without $y$ in them by $2$ and--without as much difficulty--reach the correct answer.

6 0

3 years ago