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3 years ago

9

the appalachian trail is a 2,155-mile hiking trail in the eastern United states. You plan to hike the section of the trail that

is in New Jersey at a rate of 9 miles per day. If the hike will take you 8 days, what is the length of the trail in new Jersey?

1 answer:

Anestetic [448]3 years ago

4 0

Step-by-step explanation:

9 miles per day

8 days hiking

9m x 8d = 72 miles long

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If each dozen cookies needs 3/4 of a bag of flour to make how many bags of flour does Grandma need to buy if she's making 10 doz

olya-2409 [2.1K]

Answer:

Step-by-step explanation:

3/4 cups → 1 batch

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3 years ago

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3 years ago

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If the total cost of a $32 item is $33.60, what is the total cost on a $55 item?

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Step-by-step explanation:

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2 years ago

If 1/√a-√b=1/3 and 1/√a+√b=1/2, then find the difference of a and b.

kow [346]

<u>ANSWER:</u>

If $\frac{1}{\sqrt{a}-\sqrt{b}}=\frac{1}{3}$ and $\frac{1}{\sqrt{a}+\sqrt{b}}=\frac{1}{2}$ then the difference of a and b is 6

<u>SOLUTION:</u>

Given, $\frac{1}{\sqrt{a}-\sqrt{b}}=\frac{1}{3}$ → $\sqrt{a}-\sqrt{b}=3$ ----- (1)

And $\frac{1}{\sqrt{a}+\sqrt{b}}=\frac{1}{2}$ → $\sqrt{a}+\sqrt{b}=2$ --- (2)

We have to find difference of a and b.

Now, add (1) and (2)

$\sqrt{a}-\sqrt{b}=3$

$\sqrt{a}+\sqrt{b}=2$

Adding above two equations, we get,

$2 \sqrt{a}+0=2+3$

$\begin{array}{l}{2 \sqrt{a}=5} \\\\ {\sqrt{a}=\frac{5}{2}} \\\\ {a=\frac{25}{4}}\end{array}$

substitute $\sqrt{a}$ value in (2)

$\begin{array}{l}{\frac{5}{2}+\sqrt{b}=2} \\\\ {\sqrt{b}=\frac{2}{\sin \frac{5}{2}}} \\\\ {\sqrt{b}=\frac{4-5}{2}} \\\\ {\sqrt{b}=\frac{-1}{2}} \\\\ {b=\frac{1}{4}}\end{array}$

Now, difference of a and b is a – b = $\frac{25}{4}-\frac{1}{4}=\frac{24}{4}=6$

Hence, the difference of a and b is 6.

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3 years ago

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