All categories

2 years ago

I am a 3-digit number. If you switch my first and last digits, I decrease by 297. Also, my

Mathematics

1 answer:

malfutka [58]2 years ago

3 0

Answer:

Step-by-step explanation:

Let the 3-digit number is abc = 100a + 10b + c.

We have:

100a + 10b + c - 100c - 10b - a = 297
b = a - 6
a = 2c - 2

Simplify the first equation:

99a - 99c = 297
a - c = 3
a = c + 3

Solve for c by substitution:

2c - 2 = c + 3
2c - c = 3 + 2
c = 5

Find a:

a = 3 + 5 = 8

Find b:

b = 8 - 2 = 6

The number is:

You might be interested in

How can i solve this?

Amanda [17]

The volume of a pyramid with known base area and height is 1/3 of the volume of a box with those same dimensions. So

$64=\dfrac{8\cdot4\cdot x}3\implies32x=192\implies\boxed{x=6}$

7 0

3 years ago

2 movie tickets and 1 popcorn cost $29.4 movie tickets and 4 popcorns cost $68. So how much would 3 movie tickets and 5 popcorns

Arisa [49]

Answer:

3 movie tickets would cost 44.8 5 popcorns would cost 85

Step-by-step explanation:

29.4 divided by 2 equals 14.7

29.4 plus 14.7 equals 44.8

68 divided by 4 17

68 plus 17 equals 85

4 0

3 years ago

What’s the answer I don’t understand

Scorpion4ik [409]

Your answer is D. All of these statements are true.

5 0

2 years ago

<img src="https://tex.z-dn.net/?f=%20%5Cint%5Climits%5E3_t%7B%7Cx%2B2%7C%7D%20%5C%2C%20dx%20" id="TexFormula1" title=" \int\limi

photoshop1234 [79]

$\displaystyle\int_{-3}^3|x+2|\,\mathrm dx$

Recall the definition of absolute value:

$|x|=\begin{cases}x&\text{for }x\ge0\\-x&\text{for }x$

So we can split up the integration interval at $x=-2$ and apply this definition to rewrite the integral as

$\displaystyle\int_{-3}^{-2}(-(x+2))\,\mathrm dx+\int_{-2}^3(x+2)\,\mathrm dx$
$=\displaystyle-\int_{-3}^{-2}(x+2)\,\mathrm dx+\int_{-2}^3(x+2)\,\mathrm dx$
$=-\left(\dfrac12x^2+2x\right)\bigg|_{x=-3}^{x=-2}+\left(\dfrac12x^2+2x\right)\bigg|_{x=-2}^{x=3}$
$=\dfrac12+\dfrac{25}2=13$

7 0

3 years ago

Sam Squirrel gathered half the nuts for winter in July, one fourth in August, one-eighth in September. In Octoberhe gathered the

meriva

Answer:

The squirrel gathered 200 nuts altogether

Step-by-step explanation:

Please kindly see the attached files for explanation

7 0

3 years ago