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IrinaK [193]
2 years ago
10

79. Estimate the price (to the nearest dollar) of a table

Mathematics
1 answer:
Kaylis [27]2 years ago
5 0

Answer:

a. $1669

Step-by-step explanation:

Price in 1994 = [ (CPI in 1994) / (CPI 1973) ] * (Price in 1973) =

[ 148.2 / 44.4 ] * 500 =  1668.91891892 = $1669 rounded to the nearest dollar.

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In a group of dogs and their owners, there are exactly 20 heads and 64 legs. How many dogs are in the group
Juliette [100K]

Answer:

If we assume that everyone in the group is an owner, we would have

20*2=40 legs.

64-40=24 legs

Therefore, we need 24 more legs.

These 24 additional legs can be made from the difference of legs between the owners and dogs.

In this case, dogs have 4-2=2 more legs than an owner.

24 ÷ 2 = 12.

There are 12 dogs in the group.

8 0
3 years ago
Tape Diagrams and Writing Equations
notka56 [123]

Answer:

3x + 16 = 22.75

3 = 22.75 - 16

<u>3</u><u>×</u><u> </u>= <u>6</u><u>.</u>75

3 3

x= 2.25

8 0
3 years ago
Set A contains three different positive odd integers and two different positive even integers; set B contains two different posi
Lostsunrise [7]

Answer:

\frac{2}{5}*\frac{3}{5} +\frac{2}{5}*\frac{2}{5}+\frac{3}{5} *\frac{3}{5}  = \frac{19}{25}

Step-by-step explanation:

We must remember that in order to get one even number we need to multiply one even number times one odd number or two even numbers. So, the first term tells the probability of having an even number from A and an even number from B, the next would be even from A and odd from B and the last one tells the likelihood of having odd from A and even from B

3 0
3 years ago
What is the solution of log2x+3125 = 3? (1 point)
enot [183]

Answer:

x =  - 1062.5

Step-by-step explanation:

Assuming the equation is:

log(2x + 3125)  = 3

Then taking antilogarithms gives:

2x + 3125 =  {10}^{3}

We simplify on the left to get:

2x + 3125 = 10 \times 10 \times 10

This gives us:

2x + 3125 =1000

We subtract 3125 from both sides to get:

2x = 1000 - 3125

2x = -  2125

x =  - 1062.5

6 0
3 years ago
(I've been trying to figure this out for 3 days and I really need help)
liq [111]

Check the picture below.

since the diameter of the cone is 6", then its radius is half that or 3", so getting the volume of only the cone, not the top.

1)

\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=4 \end{cases}\implies V=\cfrac{\pi (3)^2(4)}{3}\implies V=12\pi \implies V\approx 37.7

2)

now, the top of it, as you notice in the picture, is a semicircle, whose radius is the same as the cone's, 3.

\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=3 \end{cases}\implies V=\cfrac{4\pi (3)^3}{3}\implies V=36\pi \\\\\\ \stackrel{\textit{half of that for a semisphere}}{V=18\pi }\implies V\approx 56.55

3)

well, you'll be serving the cone and top combined, 12π + 18π = 30π or about 94.25 in³.

4)

pretty much the same thing, we get the volume of the cone and its top, add them up.

\bf \stackrel{\textit{cone's volume}}{\cfrac{\pi (3)^2(8)}{3}}~~~~+~~~~\stackrel{\stackrel{\textit{half a sphere}}{\textit{top's volume}}}{\cfrac{4\pi 3^3}{3}\div 2}\implies 24\pi +18\pi \implies 42\pi ~~\approx~~131.95~in^

8 0
3 years ago
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