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Studentka2010 [4]
3 years ago
8

Andrew jogs for 3 miles each day on the weekdays and for 6.5 miles each day over the weekend. What is the average distance that

Andrew covers everyday?
Mathematics
2 answers:
kirill [66]3 years ago
7 0
Set up the data:
3,3,3,3,3,6.5,6.5
15+13=28
28/7=4

He runs an average of 4 miles a day
DiKsa [7]3 years ago
4 0
I think that if you say seven days total(as in a weeks time), that would be a total of 5 days running 3 miles and 2 days running 6.5 miles. Then multiply 5*3 and 2*6.5 and add each answer together.
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If y-3x=9, 7x+y=25, what is the value of x and y?
lianna [129]

\bold{\rm{Given}}\text{ : If y - 3x = 9, 7x + y = 25, what is the value of x and y}?

\bold{\rm{Solution}} \text{: We'll solve this by substitution method}

\dashrightarrow  y - 3x = 9 \\  \\  \dashrightarrow   \boxed{y = 9 + 3x } \qquad .. \sf eq(1)

\text{we got the value of y now getting the value of x}

\looparrowright 7x + y = 25 \\  \\  \looparrowright 7x = 25 - y \\  \\  \looparrowright  \boxed{x =   \frac{25 - y}{7}} \qquad .. \sf eq(2)

\text{Now, putting y = 9 + 3x in eq(2)}

\hookrightarrow  x =  \frac{25 - y}{7}   \\  \\ \hookrightarrow  x =  \frac{25 - 9 + 3x}{7}  \\  \\ \hookrightarrow  7x =  25 - 9 + 3x \\  \\ \hookrightarrow  7x - 3x =  16 \\  \\ \hookrightarrow  4x = 16 \\  \\ \hookrightarrow  x =  \frac{16}{4}  \\  \\ \star \quad  \boxed{ \green{ \frak{ x = 4}}}

\text{Now we know the value of x, for getting y we need to put x in eq(1)}

: \implies y = 9 + 3x \\  \\   : \implies y = 9 + 3(4) \\  \\  : \implies y = 9 + 12  \\  \\    \star \quad  \boxed{\frak{  \green{y = 21}}}

\text{Hence, values of x and y are} \:  \frak{ \green{4}}  \: \text{and} \:  \frak{ \green{21}} \: \text{respectively}.

4 0
2 years ago
The graph of F(x) , shown below, has the same shape as the graph of G(x) = x ^ 2 , but it is shifted up 4 units and to the right
Novosadov [1.4K]

Answer:

A

Step-by-step explanation:

To translate a graph right you -3 from x. To translate a graph up you +4.

4 0
3 years ago
Find the perimeter of a triangle with sides 2x - 3y, x2 + y and 2x + y units
Lesechka [4]
Perimeter = (2x -3y) + (x² + 7) + (2x + y)
Perimeter = 2x -3y + x² + 7 + 2x + y
Perimeter = x² + 4x - 2y + 7

------------------------------------
Answer: 
x² + 4x - 2y + 7
------------------------------------
8 0
3 years ago
SOMEONE HELPPP I CANT DO IT
bekas [8.4K]

Answer:

???????

Step-by-step explanation:

6 0
2 years ago
10 Six years ago Jon was one-sixth the age of his mother
Debora [2.8K]

Answer:

Jon is 11 years old

Step-by-step explanation:

We write the following equations describing the sentences of the problem, using the letter M to represent Jon's mom's current age, and j to represent his current age.

First sentence: "<em>Six years ago Jon was one-sixth the age of his mother</em>."

translates into:

J - 6 = (M - 6) / 6

Second sentence: "<em>in four years time his age doubled and increased </em>

<em>by 10 will match his mother's age</em>."

2 * (J + 4) + 10 = M + 4   which removing parentheses gives: 2 J + 18 = M + 4

We solve for "M" in the first equation

6 (J - 6) = M - 6

6 J - 36 = M - 6

M = 6 J - 30

and now use this result to substitute for M in the second equation

2 J + 18 = (6 J - 30) + 4

and work on solving for J

2 J + 18 = 6 J - 30 + 4

18 + 26 = 6 J - 2 J

44 = 4 J

J = 44 / 4

J = 11

7 0
3 years ago
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