11) a) If you invest

don walked 3 3/5 miles on Friday, 3.7 miles on saturday, and 3 5/8 miles on sunday. list the distances from least to greatest

astraxan [27]

Solution:

we are given that

Don walked 3 3/5 miles on Friday

It can be re-written as

$3\frac{3}{5}miles=\frac{18}{5}= 3.6$ miles

3 5/8 miles on sunday.

It can be re-written as

$3\frac{5}{8}miles=\frac{29}{8}= 3.625$ miles

an d He walk 3.7 miles on satarday.

The distances from least to greatest is 3.6, 3.625, 3.7

or

The distances from least to greatest is $3\frac{3}{5}$ miles, $3\frac{5}{8}$ miles, 3.7 miles.

8 0

3 years ago

A theater is selling tickets for a performance. Mr. Smith purchased 8 senior tickets and 5 child tickets for $136 for his friend

Flura [38]

Answer:

for the seniors, the answer is $12, and for the children, the answer is 8.

Step-by-step explanation:

4 0

3 years ago

Practice: Organizing Information

MArishka [77]

$\sqrt{\frac{a}{b}} = \frac{ \sqrt{a}}{ \sqrt{b}}$
You will often be asked to "rationalize the denominator," in which case
$\sqrt{\frac{a}{b}} = \frac{ \sqrt{ab}}{b}$

$\sqrt{\frac{2}{5}} = \frac{\sqrt{2}}{ \sqrt{5}} = \frac{ \sqrt{10}}{5}$

8 0

4 years ago

Please help me out!! :c

Sloan [31]

<h3>Answer: 8 = 4p (choice A)</h3>

==================================================

Explanation:

p is a placeholder for a number. Think of it like a box where a number goes inside.

In this case, p is the price of one pack of pencils.

We can use a proportion to help set up an equation

(4 packs)/(8 dollars) = (1 pack)/(p dollars)

4p = 8*1 ... cross multiply

4p = 8

8 = 4p which points to choice A as the answer.

---------------------------

Alternative method:

4 packs = 8 dollars

1 pack = p dollars

Multiply both sides of the second equation by 4 and you'll get

4 packs = 4p dollars

Then replace the "4 packs" on the left hand side with "8 dollars"

8 dollars = 4p dollars

that turns into

8 = 4p

--------------------------

Yet another method:

We know it's $8 for 4 packs. This must mean it is 8/4 = 2 dollars per pack.

If p is the cost of one pack, then p = 2.

Now plug p = 2 into each of the four answer choices. You should find that only 8 = 4p results in a true equation.

Choice B is false because 8 = 4/p turns into 8 = 4/2 and that becomes 8 = 2, which is a false equation. Choices C and D are similar stories.

3 0

3 years ago

Read 2 more answers

If the value of land in an area is increasing 6 percent a year, how long will it take for property values to double?

Romashka-Z-Leto [24]

Answer:

It will take 11.9 years for the property value to double.

Step-by-step explanation:

The value of the land is modeled by the following equation:

$P(t) = P(0)(1+r)^{t}$

In which P(t) is the value after t years, P(0) is the initial value and r is the growth rate, as a decimal.

In this problem, we have that:

$r = 0.06$

How long will it take for property values to double?

This is t when $P(t) = 2P(0)$ . So

$P(t) = P(0)(1+r)^{t}$

$2P(0) = P(0)(1+0.06)^{t}$

$(1.06)^{t} = 2$

We have that:

$\log{a^{t}} = t\log{a}$

So to find t, we apply log to both sides of the equality.

$\log{(1.06)^{t}} = \log{2}$

$t\log{1.06} = \log{2}$

$t = \frac{\log{2}}{\log{1.06}}$

$t = 11.9$

It will take 11.9 years for the property value to double.

6 0

4 years ago