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2 years ago

5. How many different 3-digit numbers can be

Mathematics

1 answer:

nata0808 [166]2 years ago

3 0

<h3>Answer: 60 </h3>

Reason:

There are 5 different digits given.

We have 5 choices for the first slot, then 4 for the next, and 3 for the last. Count down by 1 each time because we don't reuse any digit.

We have 5*4*3 = 20*3 = 60 different permutations to represent the possible three-digit numbers we can form without repeats.

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A triangle has a base length of 3ac2 and a height 5 centimeters more than the base length. Find the area of the triangle if a =

pochemuha

Answer:

45750 cm²

Step-by-step explanation:

<h3>Area of triangle:</h3>

a = 4 and c = 5

base length = 3ac²

= 3 * 4 * 5 * 5

= 300 cm

height = 5 cm more than the base length

= 300 + 5

= 305 cm

$\sf \boxed{\bf Area \ of \ triangle = \dfrac{1}{2}*base \ length * height}$

$\sf =\dfrac{1}{2}*300*305\\\\= 150 * 305\\\\= 45750 \ cm^2$

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2 years ago

The local zoo is filling two water tanks for the elephant exhibit. One water tank contains 34 gal of water and is filled at a co

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3 years ago

Find the equation of the line. <br> Use exact numbers

nlexa [21]

Answer:

It would be y=2x+4 since the slope is 2 and the y-intercept is 4

(your welcome!)

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4 years ago

Mia and Holly can clean their room in 20 min, working together. Mia, working alone, can do the job in 30 min. How many minutes w

Sindrei [870]

Answer:

Option B. is correct

Step-by-step explanation:

Let $x$ denotes time taken by Mia alone to clean the room and $y$ denotes time taken by Holly alone to clean the room.

As Mia and Holly can clean their room in 20 min, working together,

$\frac{1}{x}+\frac{1}{y} =\frac{1}{20}\,\,\,...(i)$

Also,

Mia, working alone, can do the job in 30 min.

So,

$\frac{1}{x}=\frac{1}{30}\,\,\,\,\,...(ii)$

Put (ii) in (i)

$\frac{1}{30}+\frac{1}{y}=\frac{1}{20}\\\frac{1}{y}=\frac{1}{20}-\frac{1}{30}\\\frac{1}{y}=\frac{3-2}{60} \\\frac{1}{y}=\frac{1}{60}$

Therefore,

Holly can clean the room alone in 60 minutes.

Option B. is correct

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3 years ago

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Eduardwww [97]

Answer:

on the second one you put 5 basketballs and four baseballs

on the third one you in think your gonna put the same thing as the first one

I am not sure about the last sorry in advance

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3 years ago