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algol [13]
3 years ago
9

A bag contains 72 toffees. How many toffees can be stored in 122 such bags? Estimate the number of toffees to nearest tens.

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
5 0
The exact number is 8,784 toffees but if you want me to estimate to the nearest tens then it would be 8,780
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In a 3-digit number, the hundreds digit is one more than the ones digit and the tens digit is twice the hundreds digit. If the s
MaRussiya [10]

Answer:

The mentioned number in the exercise is:

  • <u>362</u>

Step-by-step explanation:

To obtain the mentioned number in the exercise, first you must write the equations you can obtain with it.

If:

  • x = hundredths digit
  • y = tens digit
  • z = ones digit

We can write:

  1. x = z + 1 (the hundreds digit is one more than the ones digit).
  2. y = 2x (the tens digit is twice the hundreds digit).
  3. x + y + z = 11 (the sum of the digits is 11).

Taking into account these data, we can use the third equation and replace it to obtain the number and the value of each digit:

  • x + y + z = 11
  • (z + 1) + y + z = 11 (remember x = z + 1)
  • z + 1 + y + z = 11
  • z + z +y + 1 = 11 (we just ordered the equation)
  • 2z + y + 1 = 11 (z + z = 2z)
  • 2z + y = 11 - 1 (we passed the +1 to the other side of the equality to subtract)
  • 2z + y = 10
  • 2z + (2x) = 10 (remember y = 2x)
  • 2z + 2x = 10
  • 2z + 2(z + 1) = 10 (x = z + 1 again)
  • 2z + 2z + 2 = 10
  • 4z + 2 = 10
  • 4z = 10 - 2
  • 4z = 8
  • z = 8/4
  • <u>z = 2</u>

Now, we know z (the ones digit) is 2, we can use the first equation to obtain the value of x:

  • x = z + 1
  • x = 2 + 1
  • <u>x = 3</u>

And we'll use the second equation to obtain the value of y (the tens digit):

  • y = 2x
  • y = 2(3)
  • <u>y = 6</u>

Organizing the digits, we obtain the number:

  • Number = xyz
  • <u>Number = 362</u>

As you can see, <em><u>the obtained number is 362</u></em>.

8 0
3 years ago
I need help for brainlest answer !
PSYCHO15rus [73]

Answer:

B

Step-by-step explanation:

Dependent variable: the one being measured

8 0
3 years ago
Which expression is equal to f(x) = g(x)? <br><br>2.1 + 54 <br>-2.r2 – 54r<br>-2x-54<br>or x+27
Sphinxa [80]

Answer:

Simplify radical expressions. … 1.04%. Squares and Square Roots. Find each square root. 26. √36. 27. √81. 28. … Step 2 (stage 1) Divide the square into four equal squares. … An exponential function has the form f (x) = a b x, where a ≠ 0, b ≠ 1, and b > 0. … There are 2.5 grams of fluorine-20 remaining after 44 seconds.

Step-by-step explanation:

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yawa3891 [41]

Answer: the answer is A

Step-by-step explanation:

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What’s the answer to b) please
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Answer:

145

Step-by-step explanation:

A+B=180

so,180-35=145.

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