Need help plz show work

Mathematics

1 answer:

patriot [66]3 years ago

6 0

$28 x 7 days = $196/week
$196 - $108 = $88
$88 ÷ 0.14 = 628.5 mi

He would need to drive 628.5mi before the Avis price is the same as the Hertz price.

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6. A kennel has 90 dogs in total, some are puppies and some are adult dogs. The ratio of puppies to adult dogs in a kennel is 3

Kitty [74]

Answer:

·ω·

Step-by-step explanation ·ω· thats it °ω°

6 0

3 years ago

Paul has $90,000 to invest. His intent is to earn 12% interest on his investment. He can invest part of his money at 7% interest

Natalka [10]

If Paul wants to gain 12% interest, he would expect that the money he will have after a certain period of time is:

Future worth = 90000(1+0.12) = $100,800

Let's distribute the future worth to the different interest rates. The solution is as follows:

x + y = 90,000 --> eqn 1
100,800 = x(1+0.07) + y(1+0.13) --> eqn 2

Solving the equations simultaneously,

100,800 = x(1+0.07) + (90,000 - x)(1+0.13)
Solving for x:
x = 15,000
y = 90 000 - 15 000 = 75,000

Therefore, Paul should place $15,000 to the 7% interest and $75,000 to the 13% interest.

5 0

3 years ago

What is the means-to-MAD ratio of the two data sets, expressed as a decimal?

Nataliya [291]

Means-to-MAD ratio is something that wouldn't be hard to find out, but I've certainly never even heard of it.

The mean (µ) of a set of data points is found by adding them up and dividing by the number of data points.

For our first set: $\{1,\ 4.3,\ 1\}\rightarrow\frac{1+4.3+1}3=\frac{6.3}3=\boxed{2.1=\mu}$

For our second set: $\{2,\ 4.9,\ 1.2\}\rightarrow\frac{2+4.9+1.2}3=\frac{8.1}3=\boxed{2.7=\mu}$

The mean absolute deviation is when you find the distance of each data point from the mean and then find the mean of those distances.

For our first set: $\{1,\ 4.3\ 1\}\ has\ \mu=2.1.\\distances = \{1.1,\ 3.2,\ 1.1\}\rightarrow\frac{1.1+3.2+1.1}3=\frac{5.4}3=\boxed{1.8=MAD}$

For our second set: $\{2,\ 4.9,\ 1.2\}\ has\ \mu=2.7\\distances=\{0.7,\ 2.2,\ 2.5\}\rightarrow\frac{0.7+2.2+2.5}3=\frac{5.4}3=\boxed{1.8=MAD}$

It wouldn't be hard to find the ratio between these for each set as the question asks...don't forget to put our ratio in simplest form!

For the first set: $\frac{\mu}{MAD}=\frac{2.1}{1.8}=\frac{21}{18}=\boxed{\frac{7}6}$

For the second set: $\frac{\mu}{MAD}=\frac{2.7}{1.8}=\frac{27}{18}=\frac{9}3=\boxed{\frac{3}1}$
(In a fraction, we would just put this as 3 because the ÷1 is redundant...however, because this is ratio, we have to keep it in)

6 0

3 years ago

Three notebooks at school supply store cost $4.76. What is the unit rate?

zalisa [80]

About $1.59 per note book. (Real rate is 1.58666666667)

3 0

4 years ago

Which is more 8 tons or 16,002 pounds

Alexxx [7]

Answer:

16,002

Step-by-step explanation: