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aleksandr82 [10.1K]
3 years ago
7

Alexi thinks of a number. he multiplies his number by 10 and then divides the answer by 100. he then multiples this answer by 10

00 and gets a final answer of 67. What number does Alexi thinks of first ?​ please tell fast
Mathematics
2 answers:
Elden [556K]3 years ago
5 0

Answer:

The number Alexis thinks of first is 6.7.

Step-by-step explanation:

Let the number Alexis thinks of be x and the first answer he got be y.

Since he multiplies the number by x and divides the answer by 100, the equation is

10x = y

10x = \frac{y}{100}

Then, he multiplies this answer, \frac{y}{100}, by 1000 and gets a final answer of 67. The equation is

\frac{y}{100} × 1000 = 67

To find y, you divide 1000y by 100 which gives 10y.

i.e. \frac{1000y}{1000} = 67

10y = 67

Divide both sides of the equation by the coefficient of y (which is 10)

\frac{10y}{10} = \frac{67}{10}

y = 6.7

Substituting 6.7 for y in 10x = y

10x = 6.7

Divide both sides of the equation by the coefficient of x (which is 10)

\frac{10x}{10} = \frac{6.7}{10}

x = 0.67

∴ The number Alexis thinks of first is 0.67.

Hope this helps!!! :))

sesenic [268]3 years ago
4 0

Answer:

0.67

Step-by-step explanation:

<u>Solution 1</u>

We can work out the initial number by going backwards from the end:

67/1000= 0.067

0.067*100= 6.7

6.7/10= 0.67

<u>Solution 2</u>

(x*10/100)*1000= 67

x/10*1000= 67

100x= 67

x=67/100

x=0.67

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3 years ago
Pls help thank you so much
Rudik [331]

Answer:

C

Step-by-step explanation:

You can start by "filling up" all of the bigger boxes. 75*14=1050 cupcakes, which when subtracted from the total initial amount leaves 400 cupcakes for the smaller boxes. The smallest multiple of 13 smaller than 400 is 390, which is 10 smaller than 400. Therefore, there will be 10 cupcakes left over, or answer choice C. Hope this helps!

8 0
3 years ago
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Can someone help me please, with the step by step explanation ???
kvv77 [185]

Answer:

a=2

Step-by-step explanation:

8a +9=3a +19

Subtract 9 from both sides

-9=      -9

8a=3a +10

Subtract -3a from both sides

5a=10

5a=10

5a divided by both sides

5/5

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7 0
3 years ago
Can someone please help?
Kaylis [27]

Hey there!

The answer is C.

First of all, let's assign variables. We can use t for tricycles and b for bicycles.

Next let's look at the first statement:

"There are at most 12 bicycles and tricycles in a school playground."

"At most" means the number 12 will be included in the inequality, so the sum of b and t is at most 12.

We can write this as b + t ≤ 12.

Now we can look at the second statement:

"There are at least 17 wheels altogether."

"At least" means the number 17 will be included in the inequality.

Since each bicycle has 2 wheels and each tricycle has 3 wheels, the sum of 2b and 3t is at least 17.

That can be written as 2b + 3t ≥ 17.

Our final system of inequalities:

b + t ≤ 12

2b + 3t ≥ 17

This matches option C.

Hope this helps!

8 0
3 years ago
The yummy ice cream company wants to package ice cream in cylindrical containers that have a volume of 5453 cubic centimeters. T
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Answer:

17.4 (3 Significant numbers)

Step-by-step explanation:

Formula for finding Cylinder : π r² h

So your 5453 = π x (20cm ÷ 2)² x height

To get height (tallness), divide 5453 by (100π)

Depending on your π, your answer should be either, 17.366 / 17.35 / 17.357 which all rounds up to 17.4 if your question asks for 3 significant figures

8 0
3 years ago
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