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Lubov Fominskaja [6]
3 years ago
12

Jessie wrote down a 3 digit natural number she said her number consists of three consecutive digits in descending order from lef

t to right with the sum of its digits equal to 24 what number did Jessie write down
Mathematics
1 answer:
NikAS [45]3 years ago
3 0

Answer:

The three digit natural number is 789.

Step-by-step explanation:

Let the fist digit be x

The second digit will be x + 1

The third digit will be x + 2

So x + x + 1 + x + 2 = 24

3x = 24 - 3

3x = 21

x = 7

The first digit is 7, the second digit is 8 and the third digit is 9

The three digit natural number is 789.

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The figure can be broken into 3 different prisms. Left to right, I'd label them 1st tower, connecting base, 2nd tower. 

I'll do the 2nd tower first since it has the most measurements. 5 * 5 * 12 = 25 * 12 = 300

The first and second towers are congruent so they have the same measurements; we just do 300 + 300 to find their volumes. It's 600. 

Now, to find the connecting piece. The whole bottom length of this "U" shaped figure is 18 but the two towers have lengths of 5. To find the base of the portion we're looking for, we do 18 - 2(5) = 18 - 10 = 8. To find the height, we take away the top part of the second tower (7 m) from the whole height (12 m). 12 - 7 = 5. The width is given by the towers so we have what we need to solve. 

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3 years ago
Paul can make 6 pizzas every 15 minutes. how many pizzas can he make in 60 minutes
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USE PICTURE TO ANSWER QUESTION
VladimirAG [237]

Answer:

k = 24

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\bf \sqrt{k-9}-\sqrt{k}=-1\implies \sqrt{k-9}=\sqrt{k}-1\impliedby \textit{squaring both sides}
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