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2 years ago

A student skipped a step when she tried to convert 15 hours to seconds, and she got the following incorrect result:

Mathematics

1 answer:

givi [52]2 years ago

7 0

1hr/3600sec=15hr/x

(3600sec)(15hr)=(1hr)x

x=54000seconds

15 hours is 54000 seconds

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A pot contains 256 fluid ounces of soup. how many quarts is that?

creativ13 [48]

We are asked to convert the value given above. To do this, we need a conversion factor to change units from ounces to units of quarts. From a conversion table, we will have 1 quart is equal to 32 ounces. We do as follows:

256 oz ( 1 quart / 32 oz ) = 8 quarts

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2 years ago

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olga nikolaevna [1]

Answer:

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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

Which statement is true about the two triangles?

mote1985 [20]

C is the correct answer

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2 years ago

How does knowing the slope and y-intercept help you graph and write the equation of a line?

IgorLugansk [536]

Answer:

It allows to to know y-intercept formula which is used to graph a line.

Step-by-step explanation:

Y-intercept formula:

y=mx+b

M: slope (keep in fraction if it is fraction, to help you graph)

B: y-interecept

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2 years ago