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svp [43]
2 years ago
12

Caroline was thinking of a number. Caroline adds 7 to it, then doubles it and gets an answer of 82.8. What was the original numb

er?
Mathematics
1 answer:
Soloha48 [4]2 years ago
5 0

Answer:

n = 34.4

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

Step-by-step explanation:

<u>Step 1: Set Up</u>

Let's let our number be set by variable <em>n</em>.

We add 7 to it: n + 7

We then double that entire expression: 2(n + 7)

That expression is equal to 82.8: 2(n + 7) = 82.8

<u>Step 2: Solve for </u><em><u>n</u></em>

  1. [Division Property of Equality] Divide 2 on both sides:                               n + 7 = 41.4
  2. [Subtraction Property of Equality] Subtract 7 on both sides:                      n = 34.4

∴ Caroline's original number is 34.4.

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Benito wrote the equations shown about the figure. Explain Benito’s errors.
Minchanka [31]

Answer:

  • Benito's error was using the equal sign (=) instead of the congruency symbol (≅).

Explanation:

Benito's error was using the equal sign (=) instead of the congruency symbol (≅).

The congruency symbol (≅) means that the elements (segments, angles or figures in general) have the same measure, i.e. they have equal lengths for the segments or equal measure for the angles.

For instance, it is an error saying that the segment AB is equal to the segment BC because, as you clearly see in the picture, they are not same; they have the same length but they are joining different points, that makes them different in essence, although they have the same length. They would be equal only if they are the same figure.

In mathematics, you must not say that two different segments or two different angles are equal but they are congruent, which means that their lengths are equal. The use of equal is reserved for numbers and variables, not for figures like segment, points, angles, polygons.

7 0
3 years ago
If a change dispenser contains 32 coins consisting of
swat32
<h3>Answer:  19 dimes</h3>

=================================================

Work Shown:

d = number of dimes

q = 32-d = number of quarters

$5.15 = 515 cents

10d+25q = 515

10d+25(32-d) = 515

10d+800-25d = 515

-15d+800 = 515

-15d = 515-800

-15d = -285

d = -285/(-15)

d = 19

There are 19 dimes. You can stop here if you want.

q = 32-d = 32-19 = 13

There are 13 quarters

-------------------------------

Check:

1 dime = 10 cents

19 dimes = 19*10 = 190 cents

1 quarter = 25 cents

13 quarters = 13*25 = 325 cents

total value = 190 cents + 325 cents = 515 cents = $5.15

The answer is confirmed.

6 0
2 years ago
During a bike challenge, riders have to collect various colored ribbons. Each 1/2 mile they collect a red ribbon, each 1/8 mile
Oliga [24]
One red ribbon, 6 green ribbons and 3 blue ribbons total together would be 10 ribbons
3 0
2 years ago
Divide.
Tpy6a [65]
This was rough, but either way I love math haha
7 0
2 years ago
If 3 * 9 + 2y = 47 what is the value of y
docker41 [41]
Answer: 10

Why?
3*9+2y=47
3*9= 27
27+2y=47
47-27= 20
2y=20
20/2=10
Y=10

Hope this helps :D
6 0
2 years ago
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