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antoniya [11.8K]
2 years ago
10

Greg enjoys jogging 4 times a week. On the first day he jogs 3 1/2 miles. on the second day he jogs 3 2/3 miles. on the third da

y he jogged 2 1/4 miles. on the fourth day he jogged 4 miles. What is the total distance Greg jogs?
Mathematics
1 answer:
Gemiola [76]2 years ago
7 0

Answer:

The exact form is 161/12 but the mixed number is 13 5/12

Step-by-step explanation:

You need to find a common donominator for all of the fractions 2,3,4 all go into 12 so I multiplied 1/2x6 (multiply both 1 and 2 by 6 same with all the others) then 2/3x4 and 1/4x3. That should get you 6/12 8/12 and 3/12. Add all of those and then add all of the whole numbers.

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Which fraction is equivalent to 38%?<br> 3/8<br> 9/25<br> 19/50<br> 3 4\5
KonstantinChe [14]
In order to find a fraction, We know that a percentage is out of a 100. This means we can now place our fraction as:

38/100

In order to find the actual fraction, we will want to simplify. Lets find our least common factor and work down from there. Since we know that 2 can go into both of them, lets reduce by 2.

This means our fraction will now look like: 

19/50

Since 19 is a prime number and cannot be divided by anything but 1 and itself, we know that this is our simplified form. 

This means:

19/50 is the fraction equivalent to 38%. 
5 0
2 years ago
Read 2 more answers
What is the product of (2x-1)(x+4)
Novay_Z [31]

Answer:

\large\boxed{(2x-1)(x+4)=2x^2+7x-4}

Step-by-step explanation:

(2x-1)(x+4)\qquad\text{use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\=(2x)(x)+(2x)(4)+(-1)(x)+(-1)(4)\\\\=2x^2+8x-x-4\qquad\text{combine like terms}\\\\=2x^2+(8x-x)-4\\\\=2x^2+7x-4

4 0
3 years ago
The table shows the ratio between the number of books ordered and their cost: Find equivalent ratios when the number of books or
Nana76 [90]

Answer:

The answer is below

Step-by-step explanation:

The table shows the ratio between the number of books ordered and their cost: Number of Books Cost (dollars) 7 21 8 24 9 27 Find equivalent ratios when the number of books ordered is 1, 2, and 3. Write them as ordered pairs in the form (x-coordinate, y-coordinate). Starting from the origin, explain how to plot the three equivalent ratios on a coordinate grid.

Answer: Let the number of books be represented as x and the cost (dollars) be represented as y. From the table the ordered pairs in the form (x, y) can be gotten. (7, 21), (8, 24), (9, 27). To get the relationship between the number of books and the cost, we can use the formula of a straight line.

Using point (7, 21) and (8, 24):

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-21=\frac{24-21}{8-7}(x-7)\\ \\y-21=3(x-7)\\\\y=3x-21+21\\\\y=3x

When the number of books ordered is 1, 2, 3 the following pairs are:

For x = 1.     y = 3x = 3(1) = 3

For x = 2     y=3x = 3(2) = 6

For x = 3     y = 3x = 3(3) = 9

The ordered pairs are (1, 3), (2, 6), (3, 9)

The graph is attached

To plot the ordered pairs, the number of books are plotted on the x coordinate and the cost on the y coordinate  

8 0
3 years ago
The mass, m, of a lorry is 9.23 tonnes rounded to 2 decimal places.
Tatiana [17]

Answer:

9.225 < x \leq 9.235

Step-by-step explanation:

3 0
2 years ago
Which of the following is a true statement? (round to the nearest tenth as needed) If -2 + v = 16, then v = 14 If -2 + v = 16, t
rosijanka [135]
In the first statement, it is false. -2+14 would not add up to 16.
In the third statement, it is false. -8+-2 would not add up to 16.
In the fourth statement, it is false. -2-14 would not add up to 16.
So the second statement is true -2+18=16.

6 0
3 years ago
Read 2 more answers
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