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Marianna [84]
3 years ago
12

Mr. Johnson lost 15 pounds over the summer by jogging each week. By

Mathematics
1 answer:
sattari [20]3 years ago
4 0
He gained 5 pounds i belive
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Use the roster method to write each of the given sets. For some exercises you may need to consult a reference, such as the Inter
castortr0y [4]

Answer:

The empty set \{ \}

Step-by-step explanation:

Roster method is simply listing explicitly all the elements in the set, one by one (writing them between two curly brackets, and separating them through commas).

We want then to list explicitly all the elements in the following set:

The set of natural numbers x that satisfy x+2=1.

So, first we have to figure out which numbers are in that set. The set is made ONLY of those natural numbers x, that when you add 2 to them, you get 1. Clearly no natural number has that property (since the only number that would give us 1 when adding 2 to it, is the number -1, which is NOT a natural number). So there aren't any numbers at all in that set. So if we were to list them, we'd just list nothing inside the set:

\{ \} (which is just the empty set)

4 0
3 years ago
) Picture frames are produced such that the four sides of a picture frame consist of two pieces from a population whose mean len
Natali [406]

Answer:

The mean perimeter of frame = 38 cm

Step-by-step explanation:

By perimeter of a rectangle, the formula is given as:

Perimeter of rectangle = 2(A + B)

Going by the illustration in the question, the perimeter is

==> 2(32 + 44) = 152 cm.

However, we a given the mean perimeter of the frame which are:

32 and 44. We can either choose to say; each sides is (32 by 32) and (44 by 44). Or we consider it in mean/average term as given: (32 by 44).

Case 1: To obtain the mean perimeter of the frame using the first scenario, we say:

Mean perimeter = (32+32+44+44)/4 = 38 cm.

Case 2: We can simply say:

Mean perimeter = (32 + 44)/2 = 38 cm.

Graphically: Assuming that the frame is given below

                     32 cm

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

         |                                      |

         |                                      |

44 cm|                                      | 44 cm

         |                                      |

         |                                      |

         |                                      |

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

                       32 cm

The mean of upper frame/bars = 32 cm

The mean of side frame/bars  =  44 cm

Hence, the mean of the perimeter = (32 + 44)/2 = 38 cm

OR,

we take the sum of all the sides (32 + 44 + 32 + 44) and divide by total number of sides (4). That is;

The mean of the perimeter = (32 + 44 + 32 + 44)/4 = 38 cm

3 0
3 years ago
A box of cereal states that there are 96 calories in a 3/4
IgorC [24]

Answer:

112 calories per cup

Step-by-step explanation:

Let x = unit rate for calories per cup,

Then (3/4)*x = 84

and x = 84*(4/3) = 112 calories per cup

3 0
3 years ago
Read 2 more answers
Which is the simplified form of the expression 3(7/5x+4) - 2(3/2 - 5/4x)?
Kruka [31]

Answer:

B. \frac{67}{10} x + 9

Step-by-step explanation:

Simplify the expression. Remember to go by the order of operations, or PEMDAS.

1) First, distribute the numbers outside of the set of parentheses to the terms inside the set of parentheses next to them. Then, simplify the fractions.

3(\frac{7}{5} x + 4) -2 (\frac{3}{2} -\frac{5}{4} x)

\frac{21}{5}x + 12  - \frac{6}{2} + \frac{10}{4} x

\frac{21}{5} x + 12 - 3 + \frac{10}{4} x

2) Finally, combine like terms. (This means to add or subtract constants and to add or subtract terms with the same variables.) You may need to convert terms to the same denominator in order to do so easier. Then, reduce the fraction.

\frac{21}{5} x + 9 + \frac{10}{4}x \\\frac{84}{20}x + \frac{50}{20}x + 9 \\\frac{134}{20}x + 9 \\\frac{67}{10}x + 9

Thus, the answer is \frac{67}{10} x + 9.

8 0
3 years ago
HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION RQ!!!!!!!!
Ilya [14]

Answer:

the answer is A i hope this helps you! may i have brainly?:)

Step-by-step explanation:

8 0
3 years ago
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