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3 years ago

Please help! If you do tysm!!

Mathematics

1 answer:

AleksAgata [21]3 years ago

7 0

Answer:

32 days

Step-by-step explanation:

5 divided by 2 is 2.5, which means 2.5 gallons will leak per day. 80 divided by 2.5 is 32 which means it will take 32 days for the bucket to completely leak out.

hope that's right <3

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If p is directly proportional to q, and p=9 when q=7.5, find q when p=24.

pishuonlain [190]

<h3>Solution and Explanation:</h3>

If $p$ and $q$ are directly proportional, then they must have a common scalar.

To find $q$ we must first find its scalar. If we let $a$ be the scalar we can form the equation, $ap = q$ .

We are given the information that if $q = 7.5$ then $p = 9$ . We can use that in finding the scalar.

$a \times 9 = 7.5 \\ \frac{a \times 9}{9} = \frac{7.5}{9} \\ a = \frac{75}{90} \\ a = \frac{15}{18}$

Now we can solve for $q$ when $p = 24$ knowing that our scalar is $\frac{15}{18}\\$ .

$ap = q \\ \frac{15}{18} \times 24 = q \\ \frac{360}{18} = q \\ 20 = q$

<h3>Answer:</h3>

$q = 20$ when $p = 24$

4 0

3 years ago

The number of nonoverlapping segments formed by n collinear points is___?

Fofino [41]

Answer: It will always be n-1.

Step-by-step explanation:

Two examples:

▪-----▪-----▪

3 collinear points --> 2 segments

▪-----▪-----▪-----▪-----▪-----▪

6 collinear points --> 5 segments

It is n MINUS one because the last point does not make another segment.

5 0

3 years ago

On monday eliza read her book. on tuesday she read three times as long as she read on monday. on wednesday she read 20 minutes l

stich3 [128]

Monday : x
tuesday : 3x
wednesday : 3x - 20 = 40
thursday: 20

3x - 20 = 40
3x = 40 + 20
3x = 60
x = 60/3
x = 20

monday : 20 minutes
tuesday : 3x....3(20) = 60 minutes
wednesday : 40 minutes
thursday: 20
for a total of : 140 minutes <===

4 0

3 years ago

The table below shows the energy of a 10 kg ball as a function of velocity. How much energy will the ball have at 10 m/s?

Nesterboy [21]

Answer:

The ball will have 600 J of energy at 10 m/s.

Step-by-step explanation:

The energy possessed by a body is proportional to the square of its velocity.

So, Energy, $E$ can be expressed as:

$E=kv^2\\Where\ k\rightarrow \textrm{constant of proportionality},v\rightarrow \textrm{velocity}$

To find the value of $k$ , let us use the point (2,24). Therefore,

$24=k\times 2^2\\24=4k\\k=\frac{24}{4}=6$

So, the general formula to find the energy is given as:

$E=6\times v^2\\$

Now, for velocity equal to 10 m/s, energy is given as:

$E=6\times 10^2=6\times 100=600\ J$

Therefore, the ball will have 600 J of energy at 10 m/s.

8 0

3 years ago

PLEASE HELP ME THIS PAPER IS WORTH A LOT OF POINTS AND TONIGHT’S THE LAST NIGHT TO TURN THINGS IN AND I NEED TO RN!!!!!!!!!!!!!

Ratling [72]

In your shoes I'd be doing all I could to solve these problems myself. What would happen if no one helped you with these?

We are told that the base of the ladder is 3 ft from the building foundation. Thus,

opp side 3 ft
sin 49 deg = ------------ = --------
hyp hyp

then hyp = (3 ft) / (sin 49 deg) = (3 ft) / (0.755) = 3.98 feet Rounding this off, we get (ladder length) = 4.0 ft. (ans).

Now that we know the length of the hyp (length of the ladder), we can find
the height of the top of the ladder off the ground using the cosine function:

(3.98 ft)(cos 49 ) = height = (3.98 ft)(0.656) = 2.6 ft

3 0

3 years ago